diff --git "a/data/dm_maths/full_data_1/2156_11255.jsonl" "b/data/dm_maths/full_data_1/2156_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2156_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 12, what is -18 + -33788?\nAnswer: -337a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 737175208 a multiple of 7433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 26. Let v be u(-10). Find t such that 2*t**2 + v*t - 8*t**2 + 2*t + 10*t**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428664.3765 + 1650.2.\nAnswer: -427014.1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0412 and 0.2.\nAnswer: -0.00824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -12288\/5*f - 384\/5*f**2 - 3\/5*f**3 + 0 = 0.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553448491 to the nearest integer?\nAnswer: 39414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f + 11. Let d be o(6). Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + (1 - 5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 466, 649, 832, 1015, 1198?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let b(u) = -15914*u. Calculate o(b(j)).\nAnswer: -15914*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (3 - 13 - (0 - ((14 - 18) + 11))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 1. Let m(h) = -5*h**2 - 3*h - 5. Determine -m(t) + 3*u(t).\nAnswer: 5*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 24543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hoocrtk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-56)*360\/(-54).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = -3*l. Let t(h) = 16*h**3 - 11*h. Let s(q) = 3*q**3 - 2*q. What is l*t(m) - 33*s(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (27 + -21 + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19930821.\nAnswer: 3, 6643607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 816670434 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + 190.04. Let b = -1934\/5 + 387. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211272\/29 or 7286?\nAnswer: 211272\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 + g**2 + 4*g - 6. Let i(c) = -5*c**3 - c**2 - 3*c + 5. Let k(o) = 4*b(o) + 5*i(o). Let y be k(0). Solve -2*d = 3 + y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let v(z) = -4*z + z**2 + z - 2 + 1. What is v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71.813, -2\/15, -2, 0.5, 3, 1 in descending order.\nAnswer: 3, 1, 0.5, -2\/15, -2, -71.813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 10, 46, 116, 232?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -104*((-5)\/15)\/(13\/39) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 13*r**2 + 7*r - 2. Let z be t(6). Which is the third biggest value? (a) -2\/3 (b) z (c) -1.6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 37 = 2*q, 2*q + 34 = -0*q - 4*o. Let p = -16 - q. Let b(c) = -c**3 - 27*c**2 + 5*c + 139. Calculate the least common multiple of p and b(-27).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-72)*(617 + 264\/12)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776151 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3 - 1. Let q(l) = 2*l**2 + 4. Let x(o) = -5*o**2 + 2*o - 9. Let r(n) = -n. Let s(g) = 2*r(g) + x(g). Determine p*s(a) - 9*q(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(21)\/sqrt(3)))\/((-2*sqrt(49))\/sqrt(7)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-10))\/((-4)\/(-220)). Suppose -48*f + 52*f - v = 0. Let h be (-1 + 14\/4)*22. Calculate the highest common divisor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4480 - -347. List the prime factors of s.\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s - 1780*s - 134827 = 1386*s + 4891*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -7.2. Let d = h + 7. Let r = -313\/2 + 157. What is the nearest to 1 in 3, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3620*h**2 - 25*h**3 + 164*h - 164*h + 26*h**3.\nAnswer: h**3 - 3620*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 148*i - 2222. Calculate m(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 198696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/8 - 7*x**3 - 309*x**2\/2 - 872*x - 1184 = 0. Calculate x.\nAnswer: -8, -2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 100077.\nAnswer: 3402618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4321 - 2680. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - j + 137*l = -2*j - 1346, -13*j + l + 34 + 54 = -0*l for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(-4\/9)\/s)\/s)*(s**14\/s)\/s assuming s is positive.\nAnswer: s**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1068 - 1574. Let w = i + 9616\/19. What is the fourth biggest value in w, -0.2, -3.3, 5?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = i + 69*p, i + 751 = 6*i + 3*p + 756 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 38*z**2 + 13*z - 28. Determine y(-40).\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18157567.\nAnswer: 29, 43, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**30\/l)\/l**(6\/29)*l**34\/(l\/(l**(3\/5)\/l)) assuming l is positive.\nAnswer: l**(9047\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9150*h - 9147*h - 822 = 5*s, 0 = -3*h + 3*s + 846. What is the remainder when h is divided by (3*1)\/((-1)\/(-11))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3535, -14007, -31453, -55867, -87243, -125575, -170857, -223083?\nAnswer: -282247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/(-855) + 1\/(-5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 5*a + 19 = 0, 4*a = 5*k - 8. Let r be 0\/(k + -8) + -5. Let v be 2*((-15)\/(-2) + r). Sort -1, -5, v in descending order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -190c775?\nAnswer: 190c776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -917.6897 to zero dps.\nAnswer: -918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 499 = -o, 2*o - 369 - 645 = 4*x. Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180 + -127 + -5 + 3 + (-2 - (-5 - -5)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.366 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 16*f**2 - 86*f + 67. Let g be b(14). Is -3732\/5 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.5 (b) -1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*p - r, -4 - 17 = 4*p - 5*r. Let o(b) = b + 7. Let c be o(p). Factor 10*d - c*d**2 + 6 - 3*d**4 - 9*d**3 - 6*d + 5*d + 0*d**4.\nAnswer: -3*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 - 5)*(4*t**4 + t**4 - t**4).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13076734 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 154, 163, 186, 229, 298, 399, 538, 721?\n\"Answer: c**3 + c**2 - c + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**2 + k. Suppose x - 6 = 1. Suppose -2*y - w = -x*y, 3*y + 2*w + 13 = 0. What are the prime factors of n(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 22. Let p be (g - 3)*(-2 - -4 - 3). Let z(j) = -j**3 - j**2 + j - 1. Let u be z(-2). Put p, -3, u in decreasing order.\nAnswer: u, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18, 1315, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 1243?\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 1209?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -103, -240, -433?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u - 4. Let q be (2 - (-4 - -1)) + -1. Let j be a(q). Suppose 0 = -2*r + 5*r - 4*y + 1499980, -5*y - 25 = j. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 702 = 24*n - 678 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1562, 1556, 1548, 1538, 1526?\n\"Answer: -i**2 - 3*i + 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20\/11 + -149\/88. Put g, 2, 0.2 in ascending order.\nAnswer: g, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-4\/5))*j*j**(-8) assuming j is positive.\nAnswer: j**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*h - 50*h + 5*h to t + q*h and give q.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/23 + (-2944)\/(-9522))*18. Let p(q) = q**3 - 11*q**2 + 12*q - 3. Let x be p(10). Put -1, -3, x, z in decreasing order.\nAnswer: x, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1590)\/(-2650))\/(18\/690)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2307470 and 275.\nAnswer: 11537350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (14 - 1) - (8 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8553 (base 10) in base 3?\nAnswer: 102201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 3:45 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -643 - 0?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034365 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*c + x - 2*x, 0 = 4*c + 4*x - 108. Suppose c*h - 5 = 22*h. Differentiate -h + 7 + 7 - 6*i**2 + i**2 wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 + 5*s + 3. Let u be p(5). Suppose 0 = 54*o - 48*o - 24. Solve j + j - o = c, -7 = -u*j + c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(2\/7)*r**(-3\/7)*r*r**(2\/21)*r assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/8133 - 235993\/276522. Let u = 1 - 1. Find the common denominator of r and -1 + u + (-5)\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*z + 1790, -10*y + 6*y = 2*z - 1772. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17989 and 9597818762.\nAnswer: 9597800773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13972583 + -1873.\nAnswer: -13974456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149750, 296711, 443672, 590633, 737594, 884555?\n\"Answer: 146961*v + 2789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -3 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625*a**6*w**2 + 151*a**4*w**3 - 15*a**2*w**3 + 773*a*w**2 - 3*w**3 - 2 wrt a.\nAnswer: 75000*a**3*w**2 + 3624*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396140 divided by -4?\nAnswer: -1099035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116294 take away -0.02631304?\nAnswer: 116294.02631304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 330*i - 2382. Determine j(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -156805, -153718, -150631?\n\"Answer: 3087*i - 159892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 11*q - 6. Let w(h) = -2*h**2 - 3*h + 3. Give w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1007 - -1321. Is y at most as big as 314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((1 - 6) + 2 + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 4*u**3 - 26.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -40, -4, 7\/4, -1, -0.2 in decreasing order.\nAnswer: 7\/4, -0.2, -1, -2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 11 - 9. Suppose 5*x + 2*n = p, 0 = -9*x + 4*x + 4*n - 25. Let f(i) = 2*i + 2*i**3 - 2*i**3 + 7*i**3 + 1. What is f(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 18*k - 36. Give d(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 76 = -y + 4*q, -4*q + 140 = 4*y. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20895*c**2 + 10364*c**2 + 10532*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 18. Let b = h - -10. Let l be (b\/5)\/(-4)*-5. Sort 4, l, -5 in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 46 = 5*a, 6*l + a = 2*l + 58. Calculate the lowest common multiple of l and (-4)\/10 + 306\/15.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:22 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56041, 56046, 56051?\nAnswer: 56056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 16 - (20 + -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 2*n**2 - 3*n - 1. Let m(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3\/6 - t**2\/2 + 82*t. What is 2*m(u) - x(u)?\nAnswer: u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 18. Let y(h) = 86*h + 14. Let m(w) = -29*w - 5. Let k(i) = -17*m(i) - 6*y(i). What is the remainder when k(s) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 + 2 = -5*t, 0 = -4*t - 4*x + 4. Suppose -6 = -0*d - 2*d. Let c = t + d. Are 3\/10 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 6633 + 6777 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9366394 divided by -2?\nAnswer: 4683197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -93*i + 288. Give y(4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 0. Let k be (-30)\/15 - 12\/(-2) - 1. Solve k = -p*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -0.08562177\nAnswer: -3.91437823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 54178686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-5\/6)*j*j*j)\/j)**(2\/195))**15 assuming j is positive.\nAnswer: j**(19\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-17))\/(1*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41481550 and 9427625.\nAnswer: 207407750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 2, l: 8, e: 5, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14227 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*v + 10 = 0, -2*v = -5*c - 0*v + 18. Sort -5, 5, c.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 5. Let v be 2 - -1*(-4 + j). Let d be v - 3\/6*(8 + -4). Sort -4, d, 16.\nAnswer: -4, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from upaau.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*r - 40087353 = -40087353 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323a7 (base 11) in base 12?\nAnswer: 216a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjaj when four letters picked without replacement from ajaajjjaaajjjjjajaa.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppvpppppp.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131007 + 130519.254. Let o = 493.8 + p. Let y = -6 + o. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -7)*(11 + 127776) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 6*u + 0*u**2 + 0*u**3 + 0*u**5 + 0 - 1\/10*u**6 - 1\/4*u**4. What is the third derivative of c(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 281*h**3 - 5*h**2 + 21*h - 51. Calculate the lowest common multiple of o(3) and 14.\nAnswer: 52878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 55*j**2. Let y(c) = -29*c. Determine y(s(w)).\nAnswer: -1595*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.494118 millilitres?\nAnswer: 0.005494118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g**2 - 4*g + 6. Give j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.456127 weeks to hours.\nAnswer: 1420.629336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 356*c + 0 + 6 - 197*c - 3 - 6 to v + p*c**2 + o*c and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70828*t**3 + 1980*t**2 - 2*t.\nAnswer: -424968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*w**4 + w**3*x - 172*w**2*x + 2*w**2 + w*x wrt w.\nAnswer: -336*w + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 27 = -3*x, 3*x - 27 = f + f. What is the highest common factor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + w + 4. Let i be f(-5). Let h = i + 11. Suppose 1 + h = s. Calculate the least common multiple of 9 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19155073137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 125.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -5, -18, 13, 0 in descending order.\nAnswer: 13, 6, 0, -5, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6688844377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 3. Let l(j) = -3*j + 2. What is 6*d(c) - 5*l(c)?\nAnswer: 3*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*i + 12 = r, 0 = 3*r - i - 100. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k. Suppose -100 = -5*u - 3*t, 82 = 4*u + 2*t - k*t. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Collect the terms in 4148 + x**2 - 1633 - 1267 - 1276.\nAnswer: x**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -16971.\nAnswer: 2\/5657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14002420 (base 7) to base 15\nAnswer: -1a8aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 230) + 48 + 89\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 65*z. Let w(n) = 5*n + 19 - 19. Let x(v) = -3*k(v) + 40*w(v). Let q(l) = 2*l**2. Determine q(x(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*(4 + 47). Let t(m) = 36*m - c*m - 1 - 20*m. Determine t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * 4\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 0, 3*a = -5*g + 13 - 9. Suppose g*d = -2*d - 16. Let m(o) be the third derivative of o**5\/60 + 5*o**4\/24 + 5*o**3\/6 - 4*o**2. Calculate m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f + 16. Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4446, 17792, 40034, 71172, 111206?\n\"Answer: 4448*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 2. Let o be c(3). Let f be -4 - ((-2)\/o + 35). Let g = 82 + f. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 382, 574, 766, 958?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 - 162*y + 64. Give z(40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225329 - -577?\nAnswer: 225906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 15*z - 15. Let r be l(-12). Suppose 5*b - r = 122. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {n: 2, z: 1, c: 3, a: 1, g: 1, t: 5}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411*d + 944 = -11797. Let v(r) = -r**3 - 31*r**2 - 8. Calculate v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5029, -5152, -5275, -5410, -5569, -5764?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + z**2 + 0*z - 5*z + 2 + 2. Let d be (-1 - (-46)\/4)*868\/1519. Calculate y(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v + 42. Let x be b(0). Let g be 6\/10 + x\/(-70). Solve -4*w + 7 + 13 = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104880 * -0.487\nAnswer: -51076.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {c: 2, j: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 734452 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -6\/11 (c) -5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 15*q - 39442 = 0. What are the prime factors of q?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312889, -312780, -312671?\n\"Answer: 109*a - 312998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*f + 1 - 2 + 3 - 1.\nAnswer: -1166*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5)\/((-15)\/(-150)). What is the lowest common multiple of 14 and d\/(-16) - 94\/(-8)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p**2 + 3*p**2 - p**2 + 30. Suppose 8 - 54 = -23*m. Let s(d) = -2*d**m - 9*d**2 + 10*d**2. What is s(t(f))?\nAnswer: -4*f**4 - 120*f**2 - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15297280 and 54112?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1020\/476*84\/40)\/((-2)\/16).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkkbbbbbkb. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.794 - -1.5498. Round c to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3843, -3844, -3847, -3852?\n\"Answer: -m**2 + 2*m - 3844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (675\/(-42))\/(-5))\/((-27)\/72). What is the nearest to -29 in -4, 3, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 4*q + 4. What is j(-5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 168 - 336 + 3*j + 168. Let z(u) = 2*u + 90. What is t(z(y))?\nAnswer: 6*y + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4 - 4)\/(732 + -706).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**3 - 155*b**2 - 39*b + 38. Give j(16).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*4\/(-8) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -18709 - 18712 + 37421 + 64*y. Let l(o) be the second derivative of -o**4\/6 + 2*o. Give i(l(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 478 = -15. Find the common denominator of -101\/8 and (-450)\/44 - (z + 11).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6892*i**4*z**2 + i**3*z**2 - 2*i**3*z + 3*i**2*z**2 - 4*i*z**2 - i*z + 61*z**2 wrt i.\nAnswer: 165408*i*z**2 + 6*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(0 + 1 + 0)*(2 - 4 + 4)*(1 - 1 - 1)*(0*w**5 + 3*w**5 + 3*w**5).\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -24786262 bigger than -24786208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a millimeter in micrometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from {i: 3, f: 1, r: 3, u: 5, n: 8}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -9*i**2\/2 + 2*i + 4. List the prime factors of d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 35*k**2 + k - k + 181*k**2 + 5*k.\nAnswer: 216*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbsd when four letters picked without replacement from {d: 1, v: 2, q: 1, y: 4, s: 1, b: 3}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(38)\/(2*sqrt(72)))**2 - (sqrt(1862) + (sqrt(1862)*2 - sqrt(1862)) - sqrt(38))\/sqrt(2)) + 5.\nAnswer: -13*sqrt(19) + 1171\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -4\/9, 2, -512, -1\/2, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8334\/7 (b) 0 (c) 2\/15 (d) 3 (e) -86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 370756794818885\/(-33656)*6\/15. Let a = c + 4406427317. Let j = a - 3\/2404. Calculate the common denominator of j and 77\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 1, d: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3579836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 72111.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245))**2*-4 + (sqrt(5) - (sqrt(15)*2)\/sqrt(3))**2*-1.\nAnswer: -3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19116 and -3.\nAnswer: 0.57348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 778200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/35*-7)\/(1\/433). Suppose 4*y + 10 = -6, 5*r + 1370 = -5*y. Let k = a + r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + -6*((-1 + sqrt(112) - sqrt(112))*-4 + -1*sqrt(112)*-2) + -1)*1)**2.\nAnswer: 20736*sqrt(7) + 150336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1064 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 14854*l**3\/3 - 5164*l - 3195. Differentiate w(j) wrt j.\nAnswer: 29708*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1 = 0, -3*t + 1651*w - 1646*w - 14 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5940\/(-855) + 1\/(-2) - -6. Let k = r - -37\/19. Let -k*g - 2\/5 - 1\/10*g**2 = 0. Calculate g.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 1269.73 (c) 3 (d) -0.03 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 3*d - 318. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3759*d**2 + 14086*d - 20264 = 0.\nAnswer: -34\/7, 596\/537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-4) + -4 + -2. Let w be (l + 14)*(-6)\/(-4). Suppose r - 2*x + w = -1, -4*r + 4 = 3*x. Let f(u) = -u. Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)*k*k)**24)**10 assuming k is positive.\nAnswer: k**(1600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/10 + 11*r**4\/2 + 121*r**3 + 1331*r**2 + 19*r. Determine w, given that s(w) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -87*u**3 - 4. Let j(z) = 5655*z**3 + 261. Determine -4*j(r) - 261*y(r).\nAnswer: 87*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 20, -l - 2*l + 17 = -2*f. Suppose -5*r = -4*u + 5, -3*u + r + 7 = -u. Solve 0 = -5*z + z + u*d + 17, 0 = -z + l*d + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 7*c + d, -3334*d + 6 = -3332*d for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76022 is divided by 1267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -9*t - 203. Suppose t = 4*h - 5*o, 2*h - 3*o = -7*o + 82. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*m + 45 + 51 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0445 - 62.9555. Let r = x - -62. Which is smaller: r or 122?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-7) + 54\/63. Let u be 1 - (-1)\/(3\/(-9)). Sort 1, y, u, 2 in descending order.\nAnswer: 2, 1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/(-12))\/((-2)\/4). Suppose k - 5*k - b = 0. List the prime factors of (-2 + 1)*(-12 + k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/4 - 2*c**3 - 5*c**2\/2 - 14*c + 9. Let f = 7 - 1. Let z be j(f). Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:52 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70081348 - -70081346.38000215. Let f = k - -1.62. What is f rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 0, 0 = 4*u + 4*x - 20. Let q(c) = -2*c - 1. Let y(v) = v + 1. What is u*y(k) + 3*q(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(2\/5))*a)**(-22)*a**(-4)\/(a*a*a*a\/(a\/(a*a**4))*a) assuming a is positive.\nAnswer: a**(-109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31040 (base 6) in base 16?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*i + i = 14, 4*x - i = -22. Let z(b) = -b - 7. Give z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 2*r**2 + 2*r - 5. Let v = -17104 - -17102. Let l(d) = d**3 + 3*d**2 - 2*d + 6. What is v*l(n) - 3*m(n)?\nAnswer: 4*n**3 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(112) + 0.\nAnswer: -8*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2076 + 2*z**3 + 9*z**3 + 2075)*(0*z + 0*z - z).\nAnswer: -11*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v*v*v)**(-1\/22)\/(v**(-8)\/v**6) assuming v is positive.\nAnswer: v**(307\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - 6. Let u = 88 + b. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 2*i - 1. Let r be a(1). Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21240020983\/44 + -482690013. Let b = 37735 - c. Find the common denominator of b and (9\/(-20))\/((-2)\/(-45)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6)*4\/(10\/(-5)). Factor -z*v**2 - 2\/3 - 4\/3*v.\nAnswer: -2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 2 + 2)*(2*c - 2*c - 2*c**3) + 1423*c**4 + 108776*c - 108776*c as j*c**4 + s*c**3 + h + f*c**2 + r*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 6922 - 10843 = 11*i. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -18. Put a, 10, 2 in decreasing order.\nAnswer: 10, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5972 take away -19?\nAnswer: -5953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/145*225\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 62118\/783*3\/1*200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-3)\/(-9))\/(2\/(-6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2100\/70*18\/(-15))\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712439790.\nAnswer: 2, 5, 19, 9012841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 39\/432619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + 19*t**2 + 2*t**2 + 583*t - 583*t - 2*t**2 - t**2 + 5*t**2 + (-4*t + 2*t + t)*(-t - 5*t + 4*t))*(t**2 - 2*t**2 + 0*t**2)*(-5 + 0 + 3).\nAnswer: 46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.70163t in micrograms?\nAnswer: 6701630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 - 10*g - 9. Let j be 24\/(0 + 2) - 1. Let h be r(j). Suppose 0 = 3*b + 4*k, -h*k = -3*b + k + 21. Solve -4*v = -2*v + b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*l - 14 = 3*p, -15*p + 5*l = -1305 + 2632 - 1257 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggggggggeeegege?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12475*q**2 + 34*q + 37. Let k be r(7). Round k to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away -40946?\nAnswer: 40967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291, -2602, -3913, -5224, -6535, -7846?\nAnswer: -9157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42362 + 73?\nAnswer: -42267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, 65, 85 in increasing order.\nAnswer: -3, -2, 2, 65, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27*-3)\/((-16)\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -421. Let d = i - 266. Let f = 7 - 12. Sort d, 5, f in decreasing order.\nAnswer: 5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2. Let w = 32 + -29. Let b(y) be the first derivative of y**3 + 14 + 0*y**w - 61*y + 61*y. Give b(f(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.58 + 7. Let f = 0.33 + d. What is f rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3 - 3)*(-15 + 43 - 16) + (5 - 1 - 2)*(6*w - 4*w - 3*w) as p + k*w and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l + 2. Let f(s) = -47*s + 3. Let w(n) = 2*f(n) - 4*q(n). Let u(d) = -4*d + 8. What is w(u(r))?\nAnswer: 168*r - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -596, -598, -600, -602, -604, -606?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -16. Let s be (((-2)\/5)\/(-1))\/2. Let o = 29 + -29.1. Which is the biggest value? (a) s (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) - 12\/(-30). Let b be 48\/(-21) + (-4)\/(-14). Let l be (5\/(-70))\/(r\/b). What is the third smallest value in -2, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 838418436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -1\/5.\nAnswer: -5, -0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13722 - 0?\nAnswer: 13722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14*l + 36 = 0. Suppose 4*o = l*o + 26. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, y: 3, l: 1}. What is prob of sequence el?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 116 * -10.51493\nAnswer: -1219.73188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 4*j + j)*(0*j**2 + 2*j**2 - 3*j**2) + (-1 + 1 + 1)*(-16*j - 201*j**3 + 16*j).\nAnswer: -203*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13766 is divided by 1960.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216893837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306 times -3?\nAnswer: 3918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2122302 and 31211.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y - 6*y + 24 + y. Let s = 12 - 5. Let r = -12 + s. Let a(u) = -2*u - 5. Calculate r*z(w) - 24*a(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/1070454 and 113\/10607226?\nAnswer: 116679486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (21 - 13 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 523 = 0. Suppose 3*l - v = -0*l + 1529, -l + q = -3*v. Suppose 0 = 4*s - 3*z - l, 2*s - 3*z + 5*z - 254 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5915 - 38*g + 5945 - 17864 + 6006.\nAnswer: -38*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 - 39*b + 21.\nAnswer: -3*(b + 7)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (137 + -116 - (10 + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.519? (a) 0.01 (b) -1\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o + 26. Let a be p(13). Let c = 65 + a. Solve 3*m = 2*y + 7, 5*m - 25 = -c*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 0.20778824024.\nAnswer: 1.20778824024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*o**3 - 465*o**3 - 6529*o**3.\nAnswer: -7202*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4183 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 10 + 12 + (-1 + 3 + 0)*(-5 + 2 + 4) - 1 - 5 + 5 + 3 - 1 - 3 + 4 - 2 - 3 - 3 - 4 + 5 + 3 + 6 - 4)*(-4*c**2 + 3*c**2 - 3*c**2).\nAnswer: 184*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10037.3 + -10037. What is the second biggest value in -1\/6, -4, -1\/12, s, -0.4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7001359, 28005482, 63012353, 112021972?\n\"Answer: 7001374*h**2 + h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4653 + 7899. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 2. Let f(i) = -i**3 - 15*i**2 + 4*i + 63. Let n be f(-15). What is v(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1986 * -10.9085\nAnswer: -21664.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -57599 + (-15 - 0)\/(-3). Let n = -9175 - a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-2)\/sqrt(2) + -4.\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 15\/14 (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 7*i**2 - 5*i + 9. Let c = -18647 + 18654. Let l(f) = 2*f**3 + 6*f**2 - 6*f + 8. Calculate c*l(x) - 6*o(x).\nAnswer: 2*x**3 - 12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 530552 + 1001?\nAnswer: 531553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 759 - 757. Find the second derivative of 192*l - 6*l**x + 4*l**2 - 18*l**3 + 5*l**2 + 9*l**3 wrt l.\nAnswer: -54*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 9 = -4*t, -11*c + 6*c = -25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 10550 - 1676 = 0. Is h a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 49*p - 1220. Are 86\/3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4581803, 9163582, 13745361, 18327140?\nAnswer: 22908919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.415 - 6.4149985493. What is x rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3234.8 + -3234. What is the second smallest value in x, 2, -2\/15, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209846350 to the nearest one hundred thousand.\nAnswer: 209800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:37 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 23*q + 35 + 669. What is the closest to -1 in q, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + p - 29 + 579 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -20\/37, 0.18, -4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*d = -42, -2*z - 18 = -22*d + 20*d. Is -12 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 43 + 272. Suppose 30 = 9*w - u. What is the least common multiple of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -1510*w + 1502*w. Let a(g) = 6*g - 10. Let h(m) = -2*m + 3. Give w*a(t) + 14*h(t).\nAnswer: 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 - (4 + 7 - 6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/571154 and -15\/353.\nAnswer: 571154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/9 + 11822*n**4\/9 - 16997230*n**3\/9 - 1395718094*n**2\/9 - 3575934160*n - 18083570400 = 0.\nAnswer: -36, -7, 2995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**3 - 49*x**2 + 21*x - 1. Let p be q(6). Is p >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.1303 weeks to microseconds.\nAnswer: 304293205440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0376 - 0.0376. Which is the closest to u? (a) -2\/217 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) - (-9 + 6). Suppose -146 = -j*d - 2*q, -5*d - 3*q + 152 = -4*q. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -128. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiomooomaooooo. What is prob of sequence ioam?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1479091413*b - 447849647 wrt b.\nAnswer: 1479091413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189516983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*f + 2*j, 5*f - 12 = 4*j + 12. Suppose -24 = -0*b + f*b. Let p be 6976*(9375\/b + 0). Round p to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76*1)\/(-4))\/1. Suppose -g + 2*w - o = -2*g, g + 4*w = 21. Suppose 2*m = z - 4 - g, -m = 2*z - 67. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213 divided by 191?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 3*j - 21*j)*(0*j - 3*j + j - 2*j + j - j - 2*j - 5*j + 5*j + (2*j - 5*j + j)*(-2 + 0 + 3) + j + 0*j - 2*j).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11811 - -2a1?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/5 (b) -1 (c) -35135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f = 48*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 21. Give l(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:55 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 227851.\nAnswer: 175\/227851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c*g**2*v**2 - 4*c*g**2*v + 98*c*g**2 + 2*c - 701492*g**2*v**2 - 136*g + 3*v wrt v.\nAnswer: -10*c*g**2 - 1402984*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-21) - (-8)\/56. Let p = 8 + -14. Let x = p + 8. What is the closest to 1 in x, -5, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634153?\nAnswer: 13, 48781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-490)\/(-7))*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpqq when four letters picked without replacement from ihqpyiqphhpo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*29)\/(522\/(-348)*(-2)\/(-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 4.7. Suppose 12 = 3*s + s. Suppose 2*h + 5 = -s*h. Put h, -4, c in increasing order.\nAnswer: -4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4 - 158*b**3 - 462*b wrt b?\nAnswer: 36*b**2 - 948*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -33. Suppose -z*g + 182 = -64. Let l = -66 + g. What is the remainder when 28 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 23 = 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 18, 8, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9421 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367913288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -524*l**2 + 13*l - 5. Let m(o) = -262*o**2 + 7*o - 2. Give -5*m(t) + 2*u(t).\nAnswer: 262*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:52 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 + 4. Let v(d) = -2*d**2 - 2. Let m(y) = -a(y) - 2*v(y). Let s(j) = -34 + 34 + 6*j**2. Give m(s(c)).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-18))\/(5\/50*-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1335*y + 2 + 1145*y + 1.\nAnswer: -190*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/3 + 5. Suppose 4*d = 5*h + 25, -4 = 4*h + 4*d + 16. Let l be (1 + h\/6)\/((-4)\/(-12)). Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 791565*k**2 + 182178975*k + 10477572375.\nAnswer: -3*(k - 264085)*(k + 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6508992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5 + 7*p - p**2 + 3 - 4. Let a be n(7). Let x(q) = -q. Let b(z) = -2*z. Let v(f) = a*b(f) - 9*x(f). Let j(t) = 8*t**2. What is v(j(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 9*l**7\/70 - 23*l**3\/3 - 26*l**2. Find the first derivative of b(m) wrt m.\nAnswer: 108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*s - 209, 0*s - 2*s - 4*x + 86 = 0. Let p = -41 + s. Suppose p*v = -4*v + 632. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.2195093 to one dp.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + 3*c - 5*v + 34, -5*v + 10 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 37, 10, -73, -230?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175.15 + -171. Let d = -6 + 10.1. Let z = d - y. Is -0.2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 51*m + 0 + 2.\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 divided by 3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w - 13492*w**2 + 33*w - 884*w**2 to h + f*w + b*w**2 and give b.\nAnswer: -14376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 4722 and 269158\/57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, 4, 21, -4, -5 in descending order.\nAnswer: 21, 4, -4, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 7*p - 6 - 4*p. Let o(k) = 2*k + 17. Let v(y) = -6*o(y) - 17*s(y). Let b(a) = 2*a**2. Calculate b(v(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/5 + 3657*l**3\/5 - 296703*l**2 + 199275747*l\/5 + 404514858\/5.\nAnswer: -3*(l - 407)**3*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:37 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 41*u + 292. Give f(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 9 + 21 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-513))\/((-3)\/48*8).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231 - 4032\nAnswer: -3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l + 2. Let w be r(4). Let n(v) = -13*v - 1. Let g be n(-1). Suppose 56 = g*i - 4. Solve i = -b, 2*q - 5 = w*b + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*-1)\/(((28\/6)\/(-7))\/((-54)\/(-1782))).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*u + 34*u - 12960. Calculate the greatest common divisor of 6966 and u.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 313 + -149. Let y(x) = -30*x + v - 164. Let u(h) = -h**2. What is y(u(o))?\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -5.4. Let q = -4 - r. Let d = -2 - -3. Which is the nearest to d? (a) q (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-6\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110993147?\nAnswer: 23, 4825789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 530464341?\nAnswer: 530464336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 171\/45)\/(2\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 - 10) + -19 - -59) + 11 + -1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-3))\/(-2 + 364\/210). Solve -7 + c = k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2248*k = -2235*k - 52 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s - s**5 - 4*s**5 + 11*s**5 - 4*s**5 + (11*s**2 + 5*s**4 - 11*s**2)*(2*s + 0*s - s).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 0.15169656.\nAnswer: 0.65169656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2944\/2145 + -2\/165. Let r = -4.46 - -4.46. Is v less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waqkwwwkawwaqkwawwk. Give prob of sequence waa.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = 22*q - 11*q - 936583. List the prime factors of q.\nAnswer: 43, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -2.19. Let g = h - 1.7. Round g to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153785312 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 2)*(-220 + 22*f + 220).\nAnswer: 132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 9 + 13 - 23 + 2*d**3 to the form h + l*d**3 + i*d + r*d**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 14*h + 39. Determine k(-10).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583 + 588. Let s be (3\/(-3))\/((2 + -1)\/x). What is the smallest value in 0.3, s, 0.025, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuwz when four letters picked without replacement from jzwuyvu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-420) + 12\/(-30). Suppose -29*g = -30 + 204. What is the fourth smallest value in -2\/9, 5, g, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391.75 decades in millennia?\nAnswer: 43.9175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1493*s + 1550*s + 51731 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:29 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 + 273*k**2 - 1846*k**2.\nAnswer: -1604*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**7\/105 + 2*n**6\/45 - 7*n**5\/90 + n**4\/18 + 39*n**2 - 2. Factor w(i).\nAnswer: -2*i*(i - 1)**2*(3*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 345942.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 26404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:20 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 24 = 5*w, 3*w - j + 6885 = 6898 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 5. Let u be v(4). Let w be 2*((-44)\/8)\/u. Let n be 1760\/(-64)*((-64)\/10)\/4. What is the greatest common factor of w and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4182 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/3)\/c)**(-10) assuming c is positive.\nAnswer: c**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2070 + -2290. Let m = 222 + h. Factor 5\/6*a**m + 1\/2 + 7\/6*a + 1\/6*a**3.\nAnswer: (a + 1)**2*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -299*r**2. Let j(g) = 3*g + 2. Let t(h) = -8*h - 4. Let n(y) = -2*j(y) - t(y). Give n(l(x)).\nAnswer: -598*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*(-183)\/9*(-82)\/((-8856)\/(-54))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(-31960 + 11579*m**4 + 31960) to y*m**3 + a*m**4 + k + c*m**2 + b*m and give a.\nAnswer: -23158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from lkkklklklllk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26726?\nAnswer: 2, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.947, 1?\nAnswer: 0.947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 68?\nAnswer: -21\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*c - 882003 = 0, 1102498 = 3*h + 2*h - 2*c. Suppose -15*f + 6*f = h. What is f rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:45 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r. Let c be s(6). Let z be 2\/(-2)*1\/c. Suppose 10*h - 6*h = 0. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Suppose 5*h - 150 = -5*j + 8*j, -47 = -h + 4*j. Let b be 7\/4 + (h\/12 - 2). Solve 16 = -i*d + b*v, 2*v = d - 0*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - s - 1. Determine v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) - sqrt(4))*6 + sqrt(4) + sqrt(36)\/sqrt(9)*6)\/((-1*sqrt(16) + sqrt(4))\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*18\/4. Let j(n) = 1. Let r(x) = x - 1. Let l(b) = 2*j(b) + r(b). Let y be l(v). Put 2, 1, y in ascending order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.08 - 0.08. Suppose l + 2*l - 78 = 0. Let n be (-2)\/7 - l\/7. Which is the closest to 1? (a) 0.2 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -22, -2, 24, 56, 94?\n\"Answer: 3*u**2 + 5*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from voinvnioioiiiivoov.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5094)\/(-855) + -6)\/(774\/(-2451)). Find g, given that 0 + d*g**2 + 2\/15*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24168 less than 24167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 16*u - 60. Let y be i(5). Which is bigger: y or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66285 or 3162?\nAnswer: -66285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v - 87*v + 45*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -971 + 1095. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5\/3 - 1256*v**4\/3 + 47092*v**3\/3 - 371984*v**2\/3 - 2093552*v\/3 - 2302208\/3 = 0.\nAnswer: -2, 23, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 10. Let h be m(-8). Let l(b) = 0*b + b - h*b - 2. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3 - 3 + (0*j - 2*j + 3*j)*(-2 - 1 + 1) + 3*j + j - 2*j + (0 + 3 - 2)*(-3*j + 3*j - 3*j))*(14*j**3 - 4*j**3 + 0*j**3).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 c when four letters picked without replacement from cccllsscsslcc?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971563336?\nAnswer: 2, 29, 4187773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -8 - 0) + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 625 - 625. What is the smallest value in c, 4, -2\/5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1422 and 67\/1106.\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 7*l + 932 - 455.\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 174.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4269.919s?\nAnswer: 4269919000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -215, -7, 6 in ascending order.\nAnswer: -215, -7, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -70*j**3 + 33*j**2 + 143*j + 36. What is the units digit of h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*-2 - -4. What is the remainder when (-308)\/(-6) + 2\/v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)*t\/(((t*t\/(t*t**(-18)))\/t)\/t)*(t**(-3)\/t*t)**44 assuming t is positive.\nAnswer: t**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 3. Suppose 0 = -4*c + 7 + p. Suppose -25 = -c*t - 4. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 20*k - 18. Let j(m) = 7*m - 6. Let r(o) = 6*b(o) - 17*j(o). Let a be r(10). Solve 0 = a*d - 27 + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c**4 + 54*c**3 - c**2 + 505 wrt c.\nAnswer: 192*c + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 81\/575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*c = 4, 5*o - 4 = 3*c + 6. Suppose 0 = -6*u + o*u + 140. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -27, -60, -103, -156?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from mmmmmpmmmmmmp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260080153 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3861 + 2329 = 5*c. Let f = 129 + -125. Suppose c = f*l + 5*x, 0*l - 5*x = 2*l - 624. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-8) + -1)*38. Let c be (m\/95)\/((-1)\/5). Factor 4*t - t**4 - 2*t**2 - t**2 - 4*t**c + 2 + 2 + 0*t**2.\nAnswer: -(t - 1)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57801382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 667 + -638. Calculate the remainder when 347 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)*(-3)\/(-6). Suppose f = -j + 9 - 0. Which is smaller: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3900616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1359115582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304)*2)*4*-2*5 + 0.\nAnswer: -320*sqrt(19) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -3\/2, -2\/5, -1, 0.002?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79495 is divided by 3411?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p + 5. Let c be t(-5). Let i(b) = -7*b - 29. Let s(a) = -4*a - 15. Let u(f) = 3*i(f) - 5*s(f). What is u(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/47744 and 55\/4.\nAnswer: 47744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.24. Put 5, -0.3, d in decreasing order.\nAnswer: 5, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 24. Let f(r) = -r**2 - 7*r - 1. Give f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26832 - -26832.0000005182. Round b to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d**3 - d**3 - 2*d**3 - 2*d + 2*d**3 + 7*d**2. Is 19 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 8:38 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 729896.\nAnswer: -5\/729896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 18*x - 53. Let q be s(19). Calculate the highest common factor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*h + 5*o, 94*h = 49*h + 41*h + 5*o - 19 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371738853?\nAnswer: 3, 7, 29, 41, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.501299099 to 3 decimal places.\nAnswer: -0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -40. Suppose -s = -t + 46. Let h(d) = d**2 - 5*d + 5. Let r be h(7). What is the highest common factor of r and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let u(f) = -f**2 + f**b + f**2. Let i(m) be the third derivative of -m**5\/30 + 40*m**2. Calculate i(u(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -999, -2496, -4917, -8442, -13251?\nAnswer: -19524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1687 - 0.205.\nAnswer: 1686.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*b + 24 = 2*v, -3*v + 4*b = -21. Let d(p) be the third derivative of p**5\/60 - 5*p**4\/24 + p**3\/2 + p**2. What is d(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1349, -65 in increasing order.\nAnswer: -65, -2, 2, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 11*p**2 - p + 10. Let f be g(11). Let o(t) = -21*t**3 - t**2. What is the units digit of o(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -133*j**5\/20 + 71*j**2 + 144*j. What is the derivative of x(l) wrt l?\nAnswer: -399*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112850561?\nAnswer: 112850561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 14 + -31 + 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-2)*((-52200)\/(-2001))\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -12. Let j = 7 + z. Is -5 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {c: 2, v: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + 2 - 2 + (-4*o**2 + 5*o**2 + o**2)*(4 - 4 + o**2) + 53*o**4 + 47*o**4 - 98*o**4 in the form c*o + n*o**4 + y*o**3 + r + w*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y - 17*y + 87675 = 0. What are the prime factors of y?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8689\/7553 + -2\/581. Let b = i - -109\/117. Let s = -74\/357 + -4\/51. What is the smallest value in b, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000005 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1056, 1074, 1104, 1146, 1200?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 7. Let r be z(-4). Suppose 2*a - 4*m - 2 = 0, 3*m = a - 4 - 2. What is the units digit of (-10 - a) + 158 + r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12024336 (base 7) to base 12.\nAnswer: 434519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = 3*r. Let p(d) = -d**2 - 9*d - 3. What are the prime factors of p(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {o: 1, h: 1, x: 2, g: 1, k: 2, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13410.219 rounded to the nearest integer?\nAnswer: -13410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -26 (c) 0.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Let a(r) = 5*r**3 + 2*r**2 - 3*r + 4. Let y(o) = 9*o**3 + 3*o**2 - 5*o + 7. What is j*y(n) - 5*a(n)?\nAnswer: 2*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/17 (c) -895 (d) 345 (e) -1\/8 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/70 - 5*s**4\/6 - 22*s**3\/7 - 118*s + 4. Let g(c) = 0. What is c?\nAnswer: -33, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429 + 428.7. Which is the nearest to s? (a) 0.4 (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1027*n + 6470. Calculate h(-8).\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r = -173 - 363 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -169*k + 66. Suppose -g = z - 7, 5*g = 2*z - 0*z - 7. Let f(r) = 170*r - 68. Let w(v) = z*u(v) + 7*f(v). Differentiate w(t) wrt t.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13368611, 13368618, 13368627, 13368638, 13368651, 13368666, 13368683?\nAnswer: 13368702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807184466?\nAnswer: 2, 1903592233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 12012101?\nAnswer: 12012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/144 - v**5\/30 - 5*v**4\/12 - 10*v. Let f(o) be the third derivative of r(o). What are the prime factors of f(14)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 1937444859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4634, 28 in ascending order.\nAnswer: -1, 28, 4634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57046036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/768 and -179\/360.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2943638, -5887263, -8830874, -11774465, -14718030, -17661563, -20605058?\nAnswer: -23548509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*u - 6*u. Suppose -u*p = -0*p - 30. Suppose -3*x + 0*x = -p. Calculate the smallest common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 + 2 = 0. Solve 4 + d - 4 - d**g = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 444*d**3 + 1308*d**2 + 1300*d + 432.\nAnswer: 4*(d + 1)**3*(d + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -854, -3086, -6696, -11684, -18050?\n\"Answer: -689*i**2 - 165*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let z be v(-3). Suppose 0 = 11*r - r - 20. Suppose -4*t + 14 = 2*q, 0 = r*t + t + z*q - 10. Solve -3*m + t + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 6}. What is prob of sequence dq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1601, -10111, -25529, -47855?\n\"Answer: -3454*l**2 + 1852*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 287, 729, 1313, 2033, 2883, 3857, 4949?\n\"Answer: -y**3 + 77*y**2 + 218*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*r = -9*s + 4212, 0 = 4*r - 16. What are the prime factors of -4 - (s - -5)\/(-3)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-133)\/(-76)*(1 + 18\/(-21)). Let v = 26 - 18. Let n = 14 - v. Which is the closest to -5? (a) u (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1320*f**3*g - 11*f**3 - 574*f**2*g + 26308*f**2 + f*g - 36*f + 6*g - 2 wrt g?\nAnswer: -1320*f**3 - 574*f**2 + f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-18\/7)\/(u**(-6))**(1\/50) assuming u is positive.\nAnswer: u**(471\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -19*x + 295, -3879914*z = -3879919*z - 555 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 13 + 22 - a - 8 - 72.\nAnswer: -a - 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25960 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/2 - 458*y**4 + 460*y**3 + 1375*y**2 - 919*y\/2 - 917 = 0 for y.\nAnswer: -917, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -12) + -42 + 121.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 394820\/775*(-1150)\/(-42). Let k = -97677\/7 + d. Let p = k - -3\/31. Which is greater: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -4*f**2 + 0*f**4 + 0*f**3 + 0 - 1\/20*f**5 + 0*f. Let g(l) = -2*l. Determine g(i(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + (-14 - -14 - (1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15361 (base 7) to base 9.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 3*sqrt(78)*5)\/((sqrt(60)*-3)\/sqrt(10) - sqrt(6)) + -4*(-1 + sqrt(832) + -2*(3 + sqrt(13) + sqrt(13))).\nAnswer: -25*sqrt(13)\/2 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmllmlllmlmmmllml. Give prob of picking 1 l and 3 m.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -11*q + 5\/6*q**3 + 0 - 7\/2*q**2. Differentiate g(i) with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/11 (c) -1\/6 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 - 7*m - 3. Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let a be (s + 0 - 2)\/(-11). Let h = -8 - -4. What is the nearest to -2\/9 in a, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1603.1 + -1603. Which is the biggest value? (a) -25\/3 (b) o (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*0 - -5. Suppose 4*n - h*q = 7*n - 63, -20 = -2*n + 4*q. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 20. Let q(m) = -a*m + 5*m**2 + 2 - m**3 + 3*m**2 + 8*m. Let t be q(7). Solve -t + 6 = -h, 5*d - 6 = -h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 3*b + 97. What is the remainder when 79 is divided by w(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6622 (base 7) in base 15?\nAnswer: -a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**(44\/7)\/r))*r**(2\/7))\/(r\/(r*r*r**(-14)))**(-45))**(-1) assuming r is positive.\nAnswer: r**(-4141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*x + x**4 + 25*x + 0*x**4 + 5*x**4 - 4*x**4 + 6*x**4 - 3*x**4 - 2*x**4 - 5*x**2 + 2*x**4 + 5*x**2 + (5*x - 3*x - 4*x)*(-x**3 - x**2 + x**2).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*n**3 - 5749*n**2 - 6666595*n + 2?\nAnswer: -1404*n - 11498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11747, -24351, -37779, -52031, -67107?\nAnswer: -83007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 73*j - 3658. What is m(50)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 1376 - 456. Which is smaller: f or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8677 - 8743. What is the fourth biggest value in 0.4, 1\/5, j, 3, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 3*q + q + q + 1 - 1 + (-1 - 2*q + 1)*(-3 - 1 + 5) - 228 + 54779*q + 726 - 250 - 248 in the form i*q + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 0.45. Let s = 0.83694 - 0.83994. Which is the closest to 2\/3? (a) 3 (b) k (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*1*(-3)\/(-3) + (521 - 509). Let i(l) = 2 - 6 + 6*l - 35. What is the tens digit of i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39306 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 2445*n**2 + 19320*n + 38480 = 0.\nAnswer: -481, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:16 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/22 + 92*j**3\/33 - 475. Factor b(u).\nAnswer: -2*u**2*(u - 46)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o - 17*o = 12*o + 944 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -875 or -23879?\nAnswer: -23879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 - 627 = 139*f. Suppose 4*z + 28 = -2*n, -8*n + 7 = z - 4*n. Is z at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1890 = -2*s + 4*q, -7*s - 4752 = -2*s - q. Let b = 1736 + s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564600 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*x - 982*x - 4347 = -443*x for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*q - 30 = -12, 2*q = l + 3. Let w be (3\/l)\/(5\/115). Solve -f + 9 = -4*n + 28, -3*f - 4*n = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 - 5*h**2 + 2*h - 14. Let f(p) = 6*p**3 + 4*p**2 - 2*p + 15. Give -5*f(g) - 4*j(g).\nAnswer: -2*g**3 + 2*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-6)\/(((-99)\/336)\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 + 16*t - 15. Let j be w(-9). Solve -2*x = n + 4*n - 27, j*x + 2 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.31 - 53.39628. Is 0 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -27*z + 22*z. What is the lowest common multiple of 4 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2128257 (base 9) to base 12\nAnswer: 470437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 1. Let b(a) = -6*a + 2. Let v(f) = b(f) - 2*r(f). Let m(n) be the second derivative of -n**4\/12 - 2*n. Determine v(m(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g - 2. Let z(v) = -18*v + 1. Let m(t) = 5*t. Let p(l) = 15*m(l) + 5*z(l). Let x(o) = -4*p(o) - 9*s(o). Differentiate x(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 451, 8875, 31713, 76171, 149455, 258771, 411325, 614323?\n\"Answer: 1201*z**3 + z**2 + 14*z - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 11:07 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + (-5*sqrt(352))\/(6*1*sqrt(11))))**2.\nAnswer: 2000*sqrt(2)\/3 + 8600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, g: 2}. What is prob of sequence tggt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**1*s)\/s)\/s**(-1))\/((s**(-1\/6)*s)\/(s**(-2\/3)\/s)))\/(s\/(s*s*(s*s**(-6))\/s)*s**(-2\/23))**(-24) assuming s is positive.\nAnswer: s**(5401\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158954 - 2?\nAnswer: -158956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 881*p - 880*p + 54, 0 = 4*p - 5*g - 34 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213175737 by 3.\nAnswer: -71058579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u**(17\/3)*(u**(-18)\/u)**(-1\/3))**30 assuming u is positive.\nAnswer: u**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2))\/u**(-2)*u**(-6)*u*u*u*u**5 assuming u is positive.\nAnswer: u**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22847*n - 19765354 = 22833*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p + 1. Let u be c(-4). Suppose -5*b + 2*w + 82 = 0, -b + 59 = 3*b + u*w. Calculate the greatest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7319775 months to millennia.\nAnswer: 0.000060998125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*i - 12 - 9, -12 = k + 3*i. Let d(f) = 3*f + 3. Let y be d(k). What is the greatest common divisor of 132 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from jffjjfffffjffj.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38716504703 minus 0.1?\nAnswer: -38716504703.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a**2 - 10*a - 16. Let m be k(-11). Let y = m + -36. Let q = 7 + 13. Calculate the remainder when y is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1141\/163 - 1*(2 + -63) and 636?\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in seconds?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 7*y + 9. Let b be 36\/(-3)*((-21)\/6)\/(-7). Give t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*778)\/(30\/9). Let u = 235 + j. Factor -2\/5*q**2 - 8\/5 + u*q.\nAnswer: -2*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*q + 7 = -2*q, -q = 3*y + 5. Let j be 1\/y - (-10)\/66. Let w(h) = -h - 5. Let o be w(-4). Which is the smallest value? (a) o (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2964, -11618, -26022, -46176?\nAnswer: -72080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -5 - -1) + 1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/8)\/(3\/12). Let b(f) = 6*f**5 + 2*f**4 + 3*f**3 - f**2. Let j(v) = 7*v**5 + 3*v**4 + 3*v**3 - v**2. Let k(h) = w*j(h) - 6*b(h). Factor k(d).\nAnswer: -d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 4*n - 3*n - 2*n + 3*n + 0*n + (-3*n - 5*n + 6*n)*(0 + 1 - 2) + 0 + 0 - n + (-2 - 1 + 1)*(n + n + 0*n) + 6*n + 0*n + 4*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312827 is divided by 156145.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + 3 + -5 + 18 - 26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -41*x. Let u(n) = -n - 3. Let a(q) = -3*q + 11. Let y(k) = -k + 10. Let v(l) = -2*a(l) + 3*y(l). Let r(b) = -8*u(b) - 3*v(b). What is r(c(t))?\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 13. Suppose 0 = 9*z - 5*z + 36. Let g(n) = -2*n - 13. Let b be g(z). Let k be p(b). Solve 2 = k*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixddixdiiuuidididdx. What is prob of picking 2 u and 2 i?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x - 39*x - 50 = -75*x - 2*b, 25 = -6*x + b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 57*q + 99*q - 3000 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 451, 677, 903, 1129, 1355?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -39. Let n = h + 6.94. Which is the nearest to -0.1? (a) n (b) -1\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 42 = -4*f. Let h = f - 103. Let n = 1343\/9 + h. Is 0 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2)**(1\/49))**(-46))**(-21\/2) assuming i is positive.\nAnswer: i**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2492504263 and 0.020011.\nAnswer: 2492504263.020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {y: 4, v: 2, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 5, b: 2, f: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*i + 0*i - 40 = 0, -9 = o + 3*i. Suppose -o*r + 61 = 313. Is 24\/r - 2574\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 26*s**2 - 7*s - 65. Let o be k(-13). What is o rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 10, b: 6}. Give prob of sequence vrbb.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 332 + -333. Calculate the remainder when 29 is divided by 539\/33 + o*2\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 44*g + 363. What is the lowest common multiple of 597 and t(51)?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10499\/7 - 185657\/126. Let j = h + -157\/6. Does j = 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98995 - -146296. Suppose -1276 = 25*r - f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - a + 2. Let c be (1\/4)\/(-5*16\/320). What is l(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342)\/312 + (-2)\/((-16)\/10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/123 + 2\/(-1). Let t = x - -33\/164. Suppose 0 = j - 6 + 1. Which is the third biggest value? (a) t (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:39 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20201 - 1?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 + 5*t**2 - 5*t + 5. Suppose -4*q = h + 4*h + 37, 4*h + 5*q + 35 = 0. Let p(o) = 5*o**3 - 4*o**2 + 4*o - 4. Give h*p(m) - 4*j(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 15. Suppose 0*r + 2*r - n = 0. Let x = 4 - r. Put 3\/5, x, -4 in descending order.\nAnswer: 3\/5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 + 108 = -55*d + 295 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 198 + l**2 - 194 + 398. Let q = -12 - -7. Determine u(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14290a (base 11) in base 5?\nAnswer: 24122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 + 322. Suppose 4*o = 4*b + n, 11 = o - 5*b - 11. Suppose -3 = -0*s - s. Calculate the highest common factor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + h + 3 + 1, 2*q - 3*h + 20 = 0. Let j = 10 + q. Let n(t) = -2*t - 3 - t**2 + j - 3*t. Determine n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31229902469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7*t**4\/24 + 44*t**3\/3 - 2*t**2 - 12. Let h be m(12). Solve -4*l + 4*j = -j - 12, 3*j = h*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 + 0*p**4 + 0*p**4)*((-5 + 4 - 1)*(0 + 1 + 2) + 3 + 0 - 2 + (2 - 1 - 3)*(1 + 1 + 1) + 6 - 2 - 2).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 39*u**2. Let l(n) = -6*n. What is j(l(q))?\nAnswer: 1404*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(320))**2 + -3.\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1.6218\nAnswer: -0.6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 63 = -2*n. Let z be 339\/54 - 2\/n. Let y = -86 - -85.5. Which is the second biggest value? (a) 0.5 (b) z (c) 1\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let f(c) = 7*c + 9. Let u(k) = k + 2. Let p be u(3). Let x(t) = -4 + 0*t - p*t + 2*t. Let v(g) = -4*f(g) - 9*x(g). What is v(w(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 95. Solve -5*c + 10 = t*p, -3*p - p + 5*c = 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1131 - 47773?\nAnswer: -51124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p = 100*p + 280. Suppose 2*y = 3*z - 15, 5 = y - 4*y + z. Put 1, 5, p, y in ascending order.\nAnswer: p, y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 3101032010200?\nAnswer: 3101032010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -11*i + 98. Which is smaller: i or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004432738 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-1)*(-32)\/(-64). Suppose 4*r - 36*v - 45 = -41*v, -4*r + 5*v - 5 = 0. Solve q*k - u + 8 = 0, 5*u = 6*k - r*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/1*5\/1. Let f = 49 - m. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602379.8g in milligrams?\nAnswer: 602379800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/(-30))\/(1\/(-6)*1). Determine f, given that -2\/5*f + 1\/5*f**3 + 3\/5*f**2 + 1\/5*f**x + 0 - 3\/5*f**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -27*y**3 + 12*y**2 + 10*y + 3. Let a(c) = 21*c**3 - 12*c**2 - 8*c - 3. Calculate 5*a(d) + 4*h(d).\nAnswer: -3*d**3 - 12*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 + 718 = w - 7*o - 19*o - 3*o, 20 = -4*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344769.1 minutes to nanoseconds.\nAnswer: 20686146000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/62 and 13\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9121340 - -9121347.230287. Let x = 7.23 - f. What is x rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/4 (b) 2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - 98.999933. What is a rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -61465.9.\nAnswer: 61466.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:41 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-4)\/(-21). Let s be -2*((-1)\/(-3))\/(1\/2). Let m = 5\/6 + s. What is the nearest to x in 0, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 3) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32110 or 32108?\nAnswer: 32110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9 + 7)*(-4*o + 2*o + o)*(-5 + 3 - 4)*(4 - 3 + 5).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/60 + v**4\/4 - 7*v**3\/6 - 48*v**2. Determine h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 - 1923*l**2\/5 + 13578*l\/5 - 3888.\nAnswer: -3*(l - 5)*(l - 2)*(l + 648)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 27*z - 40. Suppose -1555 = -z*h - 245. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80362682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204929 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4341146 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8811 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-12 - -6) + -8 + 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11300 - 11303. Which is the second biggest value? (a) 1578 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56497 and 205234?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219739 - 105382. Suppose -538979 = -22*o - u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69331, 138632, 207947, 277288, 346667, 416096, 485587, 555152?\nAnswer: 624803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*b - 42 - 159, 4*b - 5*v = 195. Let p = b + -42. What is the lowest common multiple of p and 148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431.8 - -7250. 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 c be (3\/(-15))\/(48\/(-1520)) + -6. Let l = 17 + -20.5. Let n = -3 - l. Put n, -2\/7, c in descending order.\nAnswer: n, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 46 = 376. Let k = 14 - -14. What is the remainder when z is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t + 48779 + 12826. Calculate the highest common factor of 75 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 140, 224, 324, 446, 596?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198*u**5*x**3 + u**3*z - 2*u**2*x**2*z + 4*u**2 - u*x**3 - 11*u*z wrt u?\nAnswer: -11880*u**2*x**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - 41\/(175398\/5428)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 - -253.97. Let i = t - 1.97. Put i, -5, -2\/7, 1.3 in increasing order.\nAnswer: -5, i, -2\/7, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4 + 8\/45*n**6 + 0 - 2\/3*n**2 - 16*n + 11\/15*n**5 + 2\/9*n**3. Factor x(v).\nAnswer: 4*(v + 1)**3*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 139. Let q(j) = 1512*j**2. Give m(q(x)).\nAnswer: -2286144*x**4 - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 3*d - 2. Let t be c(2). Suppose -3*s + s - 8 = 3*i, 2*s = -5*i - t. Suppose -81 = -s*b - b. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1996\/5 + -400. Which is the smallest value? (a) 0.3 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 6. Let p = o + 2.93. Let j = 0.0715 + p. What is j rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 - 27*t + 43. Let b(d) = 7*d**2 + 28*d - 44. Let j(h) = -4*b(h) - 5*m(h). What are the prime factors of j(-17)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 2281557.\nAnswer: -3\/760519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 33*f + 10*f + 18*f to the form n + w*f and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -937c5 - -3c?\nAnswer: -93787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -493 - -497. Suppose -46*f = d - 51*f - 353, r*d - 1387 = -5*f. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*d - 2 = 0, 3*u - d + 61 = 97. Sort -0.4, 2, u in decreasing order.\nAnswer: u, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 417 and 297522.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5148 - 4332. Calculate the remainder when u is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5250, 10502, 15754, 21006, 26258?\n\"Answer: 5252*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2177 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011011 (base 2) to base 13.\nAnswer: a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j - 29 + 16 + 13.\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**2 - 95*q + 93. Calculate the smallest common multiple of 6252 and r(1).\nAnswer: 18756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84812 times -0.0505?\nAnswer: -4283.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238926748 rounded to 7 decimal places?\nAnswer: -0.0023893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -43. Solve 4*c - d = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeellelell. Give prob of picking 3 l and 1 e.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-58 - -51 - (6 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5)\/25 - 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 120, 406, 962, 1878, 3244?\n\"Answer: 15*b**3 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 + 0 = 0. Let h(d) = -d + 1. Let i be h(l). Solve -8*p + i*p = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 2, g: 4, q: 2, u: 2}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**4 - 2*z**3 + 2*z**2 - 2*z + 11. Let n(x) = x**4 + x**3 - x**2 + x. Let p(q) = c(q) + 2*n(q). Find the first derivative of p(d) wrt d.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*j + 12 - 2, -j = 5*d + 16. Let y(w) = -4*w - 9. Let u be y(d). Put -4, 2, u, 0 in ascending order.\nAnswer: -4, 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*g + 1001*g + 10277 + 46245 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56266350.8 rounded to the nearest 10000?\nAnswer: -56270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/15)\/((-15)\/(-42)*(-4515)\/(-69875)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144097381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0249844629 rounded to 4 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from wwawwwawaawaa.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let m(y) = y**3 + 2*y**2 - 4*y - 2. Let c be m(f). Let q = c + 1. Solve -3*w = q*t + 6, -4*t + 5*w + 10 = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-196))\/((30\/(-21))\/5)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 3*u. Let f be i(2). Let y be (41 + 7)*(-1)\/(-6). Let k = -5 - -3. Which is the third smallest value? (a) f (b) y (c) k (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 + 10*x**3\/7 + 72*x**2\/7.\nAnswer: -2*x**2*(x - 9)*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -28. Let b = -34 - t. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78094386 + 54717.\nAnswer: 78149103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -416168*q*r*y + 12*q*x**2 - 2*q*x*y + 9*q*x - r*x**2*y - 66*r*x**2 + x**2*y - 9*x**2 - 10*x + 2*y with respect to r.\nAnswer: -416168*q*y - x**2*y - 66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -480 + 478. Find the common denominator of (-4572)\/(-792) + q + -4 and -53\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 20. Let b(s) = 6*s - 6. Let h(c) = 7*c - 7. Let f(k) = z*h(k) - 6*b(k). Determine f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, 10, -4 in decreasing order.\nAnswer: 10, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/336 - 7*b**4\/24 - 3*b**2. Find the second derivative of n(v) wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1042 = -8*a + 3*j, -2*a + j = -520. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 229*s**2 + 70*s + 68. What is the remainder when z(-1) is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + -29. Let y(z) = -133*z**2. Let o(j) = -12*j**2. Calculate f*o(w) + 5*y(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-15 - (-24 - 6))) + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(2)*-6 + sqrt(360)*1 + 4*(-1*sqrt(5760) + sqrt(5760)))\/((1*sqrt(4840))\/((sqrt(15)\/sqrt(3) + sqrt(5))*5)).\nAnswer: -30*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 475861 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*q**2 - 159*q**2 + 62*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - b - b + 2*b**4 - 2*b**3 - 133*b**2 + 26*b**2 + 130*b**2 to the form n*b + o*b**3 + s + d*b**4 + p*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0538 - -179.9462. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - k + 17 = 0, 68 = -529*q + 532*q + 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 98. Let a(v) = -2*v**3 + v**2 + 6*v. Let y(k) = -2*k**3 + k**2 + 7*k. Calculate o*a(c) + 4*y(c).\nAnswer: 2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 5*n**2 + 12*n - 67. What is j(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026432 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*5 + 0 + 0. Suppose -z*d + 24 = 9. Let h(x) = x**3 + 8*x**2 + x + 13. Let f be h(-8). Which is the third smallest value? (a) f (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 147*o + 2277. Calculate k(-18).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 + 17 = 5*y, -4*m - 4 = -4*y. Suppose 0 = a + 2 - y. Suppose -n + 1 - 3 = a*k, -4*n = -3*k - 67. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 6*r + 3*u - 148, 14*r + 460*u = 462*u - 408 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 4 + -2 - -4 - (-4516 + (52 - 54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -0.3. Let i = 6.67 + -6.57. What is the third smallest value in i, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l - 21*l + 3*o = 17*l + 5, -5*l - 32 = -4*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1534\/211 or -8?\nAnswer: -1534\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -q - 9. Suppose 5*f - p = -81 + q, -5*f - p - 76 = 0. Let t be ((-1)\/(-3))\/((-1)\/f). Solve h = -0*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from pppppqq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 (base 6) in base 11?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 23*m - 58. Let r(p) = -26*p + 44. Determine -4*r(x) - 3*v(x).\nAnswer: 35*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122002120 (base 4) to base 3.\nAnswer: 12010121020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 185 = 55. Suppose 0 = -5*q - 3*b + 79, 0 = 4*q + b - t + 1. Let f(k) = -3*k + 1. What is the smallest common multiple of q and f(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 - 5*a - 8. Let t be m(-1). Solve -2*v + t*d = 8*d + 8, -2*d - 8 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)\/((-7)\/(21\/(-6))). Let j(o) be the first derivative of -4\/3*o**3 - 3\/4*o**4 + b*o + 0*o**2 + 2. What is the third derivative of j(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 5*y - 22. Let s be c(-10). Suppose 0 = 4*f - 204 - s. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1727, 1713, 1699?\n\"Answer: -14*d + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2386 - -2384. What is the closest to 0.1 in c, -2\/11, 4.1, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5cb (base 15) to base 5\nAnswer: -20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 111, 125, 135, 135?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*p + 37*p + 37*p + 32*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -x. Find the third derivative of -q**5 + 4*q**5 + 3*q**x - 3*q**5 - 2*q**2 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 107139658.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3 - 6. Suppose 3*b + 12 = -4*n, m*n + b = 6*b + 20. Suppose 5 - 2 = -z, n = 4*j + 3*z - 3. Solve -20 = -j*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = -3*w - 29, 3*m + 2*w = 11. Suppose 3 = -p + m. Let n be (-2)\/p + (-4)\/40. Which is the nearest to -1? (a) -5 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/(-12))\/(1\/(-9)). Let l = q + 7. Let u = -11 - l. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*g - 30 = -307*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.69 - -0.21. Let n = -31.1 + p. Which is the third biggest value? (a) 1 (b) 0.09 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16350*a**3 + 67*a**2 + 71*a + 2 wrt a?\nAnswer: -98100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 69*o**5\/4 - 2810*o**2. Let y(x) = -7*x**2. Calculate y(b(f)).\nAnswer: -7498575*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -112. Solve a*j + 1 - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 9*c + 12. Let v be d(8). Suppose 35 = v*s - 49. What is the remainder when (-4)\/14 + 867\/21 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477301.\nAnswer: 11, 43391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(1 - 2*p - 1)*(-2 - 1 + 6)*(-2 + 3 - 3)*(-8098*p - 392*p**2 + 8098*p).\nAnswer: -9408*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = -3*k + 34, -a = 5*k - 44. Let p be a - (4 + (6 - 6)). What is the highest common factor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*g*i**5*t - g*i**5 - 49*g*i + 2*i*t wrt i?\nAnswer: 2440*g*i**3*t - 20*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 194. Let z(k) = 2*k - 1. Let x be z(2). Solve 0 = -4*a - 3*n - 7 - w, 0 = x*n - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90481, -90608, -90739, -90874, -91013, -91156?\nAnswer: -91303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 83398 - 18655 - 95893 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112867 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*z + 2*z. Let t be (-1 + 1)*3\/6. Suppose 4 = u + 3*q, t*q + 2*q = -u + 5. Calculate the smallest common multiple of z and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*i = 14, -8*i + 4*i = -4. Suppose -233 = -p*v + 253. Calculate the remainder when v is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 43.18. Let l = 3612999 + -3612999.1800013. Let z = g + l. What is z rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7)*(-910)\/6656*-32.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7198 is divided by 1439.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26778, -53556, -80334, -107112, -133890?\n\"Answer: -26778*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, -3, 0.4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2*5\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 52. Solve 3*k - 14 = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 239307684718?\nAnswer: 239307684717.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9710 + -8742. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(30))\/sqrt(10) - (4*sqrt(3) + 3))**2 - (2 + (sqrt(192)*-2)**2 - sqrt(192) - (1*sqrt(192) + 0)).\nAnswer: -653 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53990, 53992, 53996, 54002, 54010, 54020?\n\"Answer: b**2 - b + 53990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/6))\/(m\/m**(3\/7)) assuming m is positive.\nAnswer: m**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 221887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 4744935*p\/2 + 14234859.\nAnswer: -3*(p - 6)*(p + 1581651)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpdbddidpp. Give prob of sequence dbdd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617969824 divided by -3105376.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7185 - 7156. Calculate the remainder when 1155 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 16*g**4 + 116*g**3 + 112*g**2 - 60*g - 72 = 0.\nAnswer: -6, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1355046555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818140733.\nAnswer: 818140733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 944.042 * -2.\nAnswer: -1888.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390200 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bogslgyby. What is prob of picking 1 y and 1 l?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113312320 (base 4) in base 7?\nAnswer: 3026111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 100*g**2 - 1085*g + 47. Let c be r(11). Which is smaller: c or 2346\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.5 + -14.35. What is s rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 412 - 404. Solve -6*r + 14 - i = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10685988 and 27.\nAnswer: 32057964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*m + 174504848 = 174495872 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*u - 248 + 248 + 193*u + 69*u**3 - 381*u.\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305600 + -5?\nAnswer: 305573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 5. Determine r(33).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281708, 1126778, 2535228, 4507058, 7042268, 10140858?\nAnswer: 13802828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1678 - -49?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1334 - -1336. Suppose -2*v = -13 - 141. Let k(d) = -2 + v*d**l - 5*d - 3 - 71*d**2. Let r(c) = 7*c**2 - 6*c - 6. Calculate -6*k(j) + 5*r(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*j + 3*d - 52, 3*j - 5*d = 53. List the prime factors of (((-112)\/j)\/4)\/(2\/(-66)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64693.8909699 + 0.0290301. Let p = -64693.6269853 + s. Let c = -0.293 + p. 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: 8 divided by -187\nAnswer: -8\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9547145 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -12. Let b = -29.6 + l. What is the smallest value in -0.2, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 7:43 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 10. Suppose 0 = -24*b + 27*b. Let o be x(b). Solve a - 3*a = -o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 6*h + 6. Calculate o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105169121 to the nearest integer?\nAnswer: 10255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2 + 23. What is the units digit of d(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2755910783222.\nAnswer: 2755910783219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 56 = 2*o, 3*w = -6*o + 2*o + 128. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002009081 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -376319 times 19\nAnswer: -7150061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (7 - (-78 + 8))\/((-63)\/(-9))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615756 and 529.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 - (0 + 14). Let p = 9 + s. Let d = -11 - -16. Sort p, d, -3 in descending order.\nAnswer: d, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*h**2*z**5 + 18*h**2*z + h**2 - 359*h*z**5 + 654*z wrt z?\nAnswer: 1360*h**2*z**3 - 7180*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 87*d - 8. Let b be f(22). Solve g = 8*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-1175\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/35 - ((-2860191)\/21 + 5\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -9988124.\nAnswer: -9988068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/35 (b) -35 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 + -230. Is p > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*g - 41 = 7, -3*s + 5*g + 41 = 0. Suppose 3*y - 4 = s*y. Which is the nearest to -1? (a) 3 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtt when three letters picked without replacement from qttpzqqppttzrtz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1724.9407 - -1725. Round b to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**1)**19)**21)**(-28))**17 assuming q is positive.\nAnswer: q**(-189924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524180 is divided by 346.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**4 - 11*x**3 + 4*x**2 + 10717*x - 4. Let g(k) = k**3 + 2*k**2 + 4*k - 2. Let p(z) = a(z) - 2*g(z). What is the second derivative of p(o) wrt o?\nAnswer: -48*o**2 - 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/25)\/(36\/(-75)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k - 39*k + 57*k)*(-k**3 - 1 - 74*k + 74*k).\nAnswer: 18*k**4 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -90 - 14. Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o - 782 - 19*o + 19*o.\nAnswer: -29*o - 782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.3 or 3\/83?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -12. Suppose -3*c - c = 20, -c - 21 = 4*a. Let o = a - j. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = -0*t + 5*n, 0 = 4*t + 3*n - 32. Let k be ((-6)\/t)\/(-2 - 1315\/(-650)). Let y = -34 - k. What is the smallest common multiple of 11 and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9 - 3. Let u(h) be the third derivative of 1\/60*h**6 + 0 + 3*h**s + 0*h**3 + 0*h**4 - 1\/60*h**5 - 1\/210*h**7 + 0*h. Factor u(f).\nAnswer: -f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4852*h**3 - 4854*h**3 + 45*h - 20*h - 25*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/72*-12)\/((40\/4)\/(-2000)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 + 4*w - 2. Let g be d(2). Let l(p) be the first derivative of p**2\/2 + 14*p + 2. Let f be l(g). Solve -b - 2*b - 12 = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2113\/8 + (98\/(-16) - -6). Suppose o = -626*w + 632*w. What is the highest common factor of 110 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 + 5*c + 7. Let x be z(-5). Suppose h - 1 = -o, -4*o + 3*o = 3*h + x. Solve -19 = o*l + 4*j - 3*j, 3*l - 3*j - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 11*u**2 - 15*u - 20. Let w be b(9). Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d. Let j = 51 - 51. Solve d + 0*z + 0*z**2 + 0*z**3 + j*z**4 - 1\/3*z**5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossvoz. Give prob of picking 1 v and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**7\/735 - s**6\/105 - s**5\/42 - s**4\/42 - 16*s**2. Let q(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4598109 is divided by 17416.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75\/11, 1\/2, -3\/4.\nAnswer: -3\/4, 1\/2, 75\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 3, -5, -12.\nAnswer: -12, -6, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 15 (b) -0.02 (c) 0.7 (d) -4 (e) -147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -3\/7, 0.4, 1\/3, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {a: 3, m: 2, t: 6, l: 6, x: 2}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2002020210211102?\nAnswer: 2002020210211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 632 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -22. Let l = -20 - w. Let s = -0.4391 - 0.0609. Which is the nearest to 0.15? (a) 0 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1908 (base 14) to base 11\nAnswer: -3436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -326, -834, -1652, -2840, -4458?\nAnswer: -6566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1789809 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 1. Let p(i) = -i. Let h(x) = x**3 + 6*x**2 + 4*x - 4. Let q be h(-5). Suppose -6 = y - q. Give y*p(s) + 2*v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*p**2 - 1 - 4*p + 676*p**2 - 342*p**2 - 8*p**3 as n*p**3 + d*p**2 + q*p + s and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(17 + (-1384)\/80).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 61. Suppose f = -5*p + o, 2*f + 0*f - 33 = -3*p. What are the prime factors of (-20)\/(-9) + (-2)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5718 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*i + 807*i - 2369*i + 768*i.\nAnswer: -73*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Let v(q) = q**3 - 5*q**2 + 4. What is the least common multiple of v(i) and 3\/(-10)*6*(-190)\/19?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98386443 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 63153*r + 295723860 = 0. What is r?\nAnswer: 7031, 14020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*w = 348*w - 9214 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/6))\/g)\/g)\/(g*(((g**(1\/11)*g)\/g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-83\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*6977\nAnswer: 13954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 + -406. What is the smallest value in 7, -0.06, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 5*p**2 - 4*p + 13. Let f be z(4). Let q(k) = -106*k + 214*k - f*k - 1. Let w(i) = 4. Determine -4*q(n) - w(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -23 + 1\/2*z**2 + 0*z. What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3289400 rounded to the nearest ten thousand?\nAnswer: -3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.075, -23, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 8. Suppose i*z = -5*z. Suppose -8*w + 4114 + 934 = z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4250855 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -402. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357445068 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2\/7, -3\/343 in decreasing order.\nAnswer: -3\/343, -2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.15751272 to one dp.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1738*q**5 - q**4 - 117*q**3 - 139*q**2 - 17*q - 7 wrt q?\nAnswer: -104280*q**2 - 24*q - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 257*i**3 + 13*i**2 - 12. Let f(z) = -257*z**3 - 17*z**2 + 13. Let r(c) = 3*f(c) + 4*l(c). Find the third derivative of r(u) wrt u.\nAnswer: 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20214 (base 5) to base 9.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*532\/114\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1.1, -21448, -10\/19?\nAnswer: -21448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -s - 0*s, 2*s = -2*y + 4. Let r be y\/((-30)\/(-39)) + -1. Solve 0 + 14\/5*k**3 + r*k**2 - 6\/5*k**5 - 8\/5*k**4 - 8\/5*k = 0.\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 12*h**2 - 12*h + 11. Calculate b(5).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(2) + sqrt(2) + 4)**2*5 + 3 + (sqrt(2) + 0)*-1 + (sqrt(36)\/sqrt(3))\/sqrt(6).\nAnswer: 100*sqrt(2) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -19\/3. Which is the nearest to j? (a) -0.1 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 35. Let m be b*1\/(-3) + 74\/6. Let t(z) = 8*z - 2. List the prime factors of t(m).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 33, -1\/11, -0.1, 2, -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -21*b**5\/20 - 193*b**3\/6 - 29*b + 97. Let m(k) be the first derivative of v(k). Find the second derivative of m(y) wrt y.\nAnswer: -126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x + 737 = -23*x + 56*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 80. Is h less than or equal to 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-18 - (-10 - (69 + 9)))) + (2 - -2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-2) + -12 + 15. Solve g = -f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2522838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 291\/34 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/19 or -1?\nAnswer: -15\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m - 4*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409101997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 180*i - 11873. What is v(66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 + 2*b**4 - 3*b**4 + (-10*b**4 - 108*b + 108*b)*(4 - 2 + 0) - 3*b**3 - 2*b**4 + 3*b**3)*(-2 + 2 + 2*b).\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:16 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1ad6?\nAnswer: -1ad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 3081.6211?\nAnswer: -1540.81055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 8 + 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*f**2 + 23*f**2 - 108*f**2 - 260*f - 6683*f + 55*f**2 to the form d*f + z + g*f**2 and give d.\nAnswer: -6943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 1, q: 8, b: 1, c: 2}. What is prob of picking 2 q and 2 c?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(-3*s**3 - 3*s**3 + 5*s**3) - 2*s**3 + 0*s**3 + s**3 + (-5*s**2 + 6*s**2 + 4*s**2)*(1 - 1 + 2*s) + 2 - 2 + s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 15*r**2 + 53*r - 4. Let c = -605 + 597. Let z be l(c). What is the highest common divisor of 120 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41363 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31637*b**4 + 26696*b**2 wrt b?\nAnswer: -759288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 278373216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:33 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from rrrrrrrrrrwwrrrwrww?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.9*0.07654.\nAnswer: -0.375046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 2. Let g be 2*(-17 + 23 + (-14)\/4). Calculate x(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -25. Let h(n) = n + 16. Let r be h(t). Solve -4 = -r*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 11*o - 12. Let c be 8*(-1 - 1\/2). Let l be q(c). Put -1, l, 1 in descending order.\nAnswer: 1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 180. Suppose -13 = -2*t + q. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 134*q + 4489 = 0.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 288583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 - -310.056. Let y = -0.05398 + z. Round y to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649 and 47950067.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 w when four letters picked without replacement from wwowwwowwwwgwowwwwwg.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 10. List the prime factors of t(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181798 is divided by 1748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 3 (b) 0.5 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -272 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1654387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201301022 (base 4) to base 5.\nAnswer: 132200402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-50))\/((-44)\/165*138\/4)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = -y - 0*a, -10 = 2*y + 4*a. Suppose 2*f - 4 = -2*r, -12*r + 13*r + 6 = f. Let x be (114\/(-152))\/((-3)\/f). Sort y, 25, x.\nAnswer: y, x, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 12*o - 27. Let v be s(6). Suppose -88 = -2*y - 2*q - 0*q, -5*q = 2*y - 85. What is the greatest common divisor of v and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7. Let r be (3\/y - 0) + -3. Suppose r = 2*w - 15 - 23. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2365, 4, -4, 0, 101 in ascending order.\nAnswer: -4, -2, 0, 4, 101, 2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v + 26568 = 282*v. What is the highest common divisor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56 + 0)*7 - (-246)\/(-41) is divided by 79?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 23. Is u(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1041 (base 9) to base 16\nAnswer: -2fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - 3*l + 2. Let h be (-4)\/(-48)*15*4. What are the prime factors of f(h)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**6 - 118*c**2 + 0*c**5 + 0 + 5\/6*c**3 + 1\/210*c**7 + 1\/12*c**4 + 0*c. Find the first derivative of o(k) wrt k.\nAnswer: 4*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 + 6*t**3 + 65 - 4*t**2 to the form p + w*t**3 + k*t**2 + s*t and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391797 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8303828?\nAnswer: 2, 13, 23, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57.0372 meters?\nAnswer: 57037200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3780247 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u. Suppose -4*h = a + 2*a, u = -2*h. Suppose 5*r + 3*g - 5 = a, -2*r + 5*g - 4 = -6*r. Solve p - 2 = r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*q*w**3 + 4*q*w**2 + 34*q*w - 3*q wrt w.\nAnswer: -162*q*w + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-4)\/4*-1. Suppose o*v + 2 = 2*v. Solve -t - 3 = -v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174592213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.86 - 25. Round m to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1067964.\nAnswer: 5339820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzu when three letters picked without replacement from xudmezx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**2 - 37 + 31*j**2 - 13*j**2 - 10*j**2 in the form c + w*j**2 + a*j and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (87\/126 - (-75)\/(-90))*2\/(-7). Sort -2\/3, 1\/3, r in increasing order.\nAnswer: -2\/3, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*c + 188*c = 109*c - 6325 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -744 + 777. Suppose t*n = 29*n + 1232. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 12, 6, 0, -6?\n\"Answer: -6*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o**2 + 7*o - 1. Is i(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 28. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182826691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 + 1545*u**4 + 85765*u**3 + 499815*u**2 - 1355130*u = 0.\nAnswer: -239, -63, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-8 - (-7 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*t**2 - 159*t**2 + 92*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r)**(4\/17)\/((r*r*r**5\/r*r*r*r)\/r*r**(-7))*((r\/(r**(-1)*r))**(-6))**(5\/7) assuming r is positive.\nAnswer: r**(-1775\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.3 to zero dps.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 496.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*l + 266, -l - 4*l + 345 = -5*a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 23*v**2 - 962*v - 14142. Give p(-14).\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/109, 2\/5, 6\/11, -14\/15, -2, -3, 2?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 755 * -290\nAnswer: -218950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*c**3 + 110*c**3 + 2 + 2*c + 99*c**3)*(c - c - c).\nAnswer: 4*c**4 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 + r**2)*(-4 - 2 + 2)*(2 + 2*r + 0*r - 4*r).\nAnswer: 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 + 1) - (1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from utw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgxe when four letters picked without replacement from emxmmemmmmxmmmxgmmex?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g + 8331 = -825 + 3829 - 8859 for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 56. Suppose -11*b = -a*b. Suppose 6*s - 3*s + 2*t = 1, 3*s - t - 13 = b. Solve -4 = 3*x - 4*i, 5*x - 40 = -s*i - 2*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3e + -3?\nAnswer: -b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine halves of a hour?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*q**2 + 1103*c**3*q - 12*c**2*q**2 - 47*c*q**2 wrt c?\nAnswer: -48*c*q**2 + 6618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7077.\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8*l - 15. Let q be a(-10). Let g be (4 - q - -3)*1. Solve 5*r - g*m + m - 1 = 0, 4*r + 5*m - 24 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-21))\/(-1 + 22\/(-6)). Let a = 10\/3 + -3. What is the nearest to -2 in z, -2\/19, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-89400)\/(-4500) - 40\/2)*(-2 - 8). Factor 0 - p*v**2 - 40\/9*v + 4\/9*v**3.\nAnswer: 4*v*(v - 5)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/8, 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 -8728*a*j**2 + 2*a - 25802*j wrt j.\nAnswer: -17456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 5*b. Let w(r) = -30*r**2 + 55*r + 12. Determine 66*q(i) + 6*w(i).\nAnswer: 18*i**2 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-15*(-1)\/3. Suppose 2*d - 5*b - 16 = -3, l*d + 2*b = -11. Is 0.2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202121320 (base 4) to base 3\nAnswer: 202110220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/110*8\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104a7 (base 15) in base 8?\nAnswer: -144742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 85*b**2 - b + 2. What are the prime factors of c(1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1368\/(-855) + (816\/(-140) - -4).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 9. Let h be ((-16)\/v)\/((-7)\/(-105)). Let o = h - -113. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 17*d**2 - 18*d - 16. Calculate b(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 57*k + 131 = -170. Which is the nearest to -3? (a) k (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 5)*(3 - 2 - 6) + 0 - 3 + 1)*(-2*c - c + 4*c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720027.\nAnswer: 3, 7, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*u - 16, 11 = u + 4*o - 1. Suppose u*l - 1 - 2 = -5*n, 15 = 2*n - 3*l. Find the third derivative of -27*j - n*j**2 + 27*j - j**4 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218 - 135. Suppose 3*q = 2*c - 24, 0 = 2*c + 2*c + 3*q - 12. Let y(o) = 6*o - 14. What is the remainder when m is divided by y(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820033?\nAnswer: 1820033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95485294 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/19 + 440*t**3\/19 - 29344*t**2\/19 + 432768*t\/19 = 0. Calculate t.\nAnswer: -276, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46681*s**2 + 21*s + 858 wrt s.\nAnswer: -93362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-20)*-5*3176\/12. Suppose -12*v - a = -1477. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 57*m + 3. Let t(w) = -58*w - 4. Give -4*t(j) - 5*x(j).\nAnswer: -53*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 + 7*d**4\/12 + d**3\/2 + 3*d**2 - 169*d - 3. Give c(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 x when four letters picked without replacement from xwllxblxwbl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106219 is divided by 526?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200 - -196. Calculate the common denominator of (-206)\/(-18)*4\/8 and y\/(-1) - (-731)\/204.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -391717*r**3 + 2*r + 5678325 wrt r.\nAnswer: -2350302*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 17 + k**2 + 27 - 3*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62729734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 + -5. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1811 - 1811 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*z + 1, -3 = 2*z - 1. Let j(x) be the first derivative of 1\/2*x + 1\/4*x**q - 1\/8*x**4 - 1\/6*x**3 - 2. Factor j(n).\nAnswer: -(n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.0279 (c) 3 (d) -0.1 (e) 3.16 (f) -3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -721 greater than -721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1081157\/104 - 10395. Find the common denominator of -35\/16 and v.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.123 and 16506.85?\nAnswer: 16506.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -485659855.7 rounded to the nearest ten thousand?\nAnswer: -485660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 595058923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -14. Suppose 0 = 2*p - 10. Calculate the highest common factor of p and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61.69378ng?\nAnswer: 0.06169378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40194.2 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*o**2 + 4*o**2 + 1714*o**2.\nAnswer: 1866*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3 - (-24 - -22). Solve a = t + 3*v, -2*v + 9 = 2*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12b20 - 1a?\nAnswer: 12b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 1\/5*d**6 - 10*d**3 + 7\/5*d**5 + 2\/3*d**4 + 0 + 9*d**2 + 5*d. Suppose o(j) = 0. What is j?\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(21) - (sqrt(21) - 4*sqrt(21)*2))\/(sqrt(35)\/sqrt(5)*-2).\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/24*-1*6\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 2*d - 30. Let t be a(-7). Sort -1, -20, t in increasing order.\nAnswer: -20, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 4. Let d(a) = 6*a + 8. Let h(n) = 4*d(n) + 10*g(n). Suppose k + 22 = -4*i, -5*i + 4*k - 29 = 9. Let v(y) = -5*y - 7. Give i*h(p) + 7*v(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11819 and 51513.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 24 = -4*d, -8*d - 3*u = -87 + 91 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135136 by -1648.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5130283 and -7996?\nAnswer: 5122287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + -0.23. Let w = -70.5 + 70. Sort 0.4, v, w in decreasing order.\nAnswer: 0.4, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -39) + -67 + -49\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72925 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = -2*a. Solve 5*i + 5*n = 20, 5*n - a = i - 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422926*n - 1422926*n + 34*n**2.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 568 - 574.44. Let b = d + 6.437099. What is b rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -1485?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -239.09303*29\nAnswer: -6933.69787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015835306 to 6 decimal places.\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 278, 289, 304, 323, 346?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**2*w**4 + a**2 - 2*a*w**4 - a*w + 153 with respect to w.\nAnswer: 64*a**2*w**3 - 8*a*w**3 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 510902020 divided by 1615\nAnswer: 316348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83444*l**2 + 60*l + 65*l - 125*l.\nAnswer: -83444*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*a - 29, 4*y - 11*a = -10*a + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2658609, 2658606, 2658603, 2658600, 2658597, 2658594?\n\"Answer: -3*t + 2658612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*s = -63 - 17, 0 = -x + 5*s + 45. Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**(9\/4))**(-21)\/((((t*t**1*t*t)\/t)\/(((t*t\/((t\/t**(-9\/4))\/t))\/t)\/t))\/((t*t\/(t*(t*t**4)\/t))\/t**(-4\/9))) assuming t is positive.\nAnswer: t**(-1346\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 0*g**2 - 2*g**4 - 2*g**2 + g**2.\nAnswer: -2*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from {i: 1, y: 8, l: 2, q: 2, r: 3, h: 1}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*w + 17 + 14, 3*w - d = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.3, 298, 3, 1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -116. Let p(o) = o - 1. Let l be p(3). Suppose -h = -l*h + 5. Let s(m) = 4*m + 3. Let t(x) = 3*x + 2. Calculate h*t(n) + z*s(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r - 4*r - 2791*r**2 + 5559*r**2 - 2814*r**2.\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m + 2*m + m - 5*m - m + 4 - 4 + (0 + 0 + 2*m)*(1 - 2 - 1) + 1 + 2*m - 1 + m + 5*m - 4*m)*(-m**4 - 3*m**4 - 11*m**4).\nAnswer: 60*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/138 (c) -1\/8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = a. Let m(z) be the second derivative of 1\/2*z**4 + 0 + 0*z**2 - 2*z - 1\/3*z**3. Let w(o) = -7*o**2 + 2*o. What is a*w(t) - 5*m(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59738701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 66 = l, 2*l + 22215 - 22251 = -2*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 (base 6) in base 13?\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - f - 23 - 2*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 104. Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 14) to base 8\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16221438*t**2 + 218046*t + 91?\nAnswer: 32442876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1754220392 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 171.4. Let i = -19 - w. Which is the nearest to 0.2? (a) i (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:23 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7560 divided by 6.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 10 + -6 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*g**2 + 8*g - 40.\nAnswer: -2*(g - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = 5*s, -4*h - 40 = -191*s + 196*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6230619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -129. Solve -4*c**3 - 25*c**2 + 0*c**3 + 30*c - j*c**4 - 6*c**3 + 7*c**4 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.4 (c) -23166 (d) -3 (e) 1\/4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -191801, -191800, -191799, -191798, -191797?\n\"Answer: a - 191802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -162830000 to the nearest 1000000.\nAnswer: -163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30715993 divided by 26411.\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 24. Let h(r) = 2*r + 6 + 2*r**2 - j*r - 5*r**2 + r**3. What is h(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-27)*2\/4*-33*1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11117 = 5*f, -f - 49017 = -5*l + 6640. Calculate the highest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 83348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137391445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -487 (base 10) to base 14\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 6*o)*(6 + 3 - 2) + (7 - 7 + 3*o)*(-1 + 3 - 4).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18260373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19038?\nAnswer: 2, 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1253339.\nAnswer: 2\/1253339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4872*o + 168486 = 20086 - 39208 - 31632 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -13*c - 120. Let z = -31 + c. Let h(r) = 19*r. Calculate the remainder when h(6) is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 5 + 0*l + 10 + 60 - 60 + l - 4*l + 5*l - 3*l - 2*l + 2*l + 2*l + (0 + 4 - 5)*(-3*l - l + 3*l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 59*a - 110. Give m(60).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-12)\/(-58)))\/((3537\/(-81))\/131).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1032395886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117 and -232.047148?\nAnswer: 115.047148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/32 and -27\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 + 79. Let s = g - -196. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6792000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l + 0*l**4 - 7*l - l**3 + l**4 + 6 in the form r*l**3 + h*l + v + u*l**2 + a*l**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.044 + 0.044. Let l = t + 29. Let r = 2\/141 - 292\/705. What is the second smallest value in l, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.03, 7\/5, 4 in increasing order.\nAnswer: -46, -0.03, 7\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -33. Which is the smallest value? (a) s (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*1 - 56\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -1\/6, -0.08 in descending order.\nAnswer: 4, -0.08, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r**3 - 2)*((-1 + 1 + 2)*(-5 + 0 + 2) - 3 + 1 + 1 + (4 + 0 - 3)*(-1 + 2 - 3) - 3 + 9 - 2).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (-3 + 3*sqrt(468))) + sqrt(468) + (1 + sqrt(468)*-3 - sqrt(468)).\nAnswer: -30*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let h(u) be the second derivative of u**5\/30 + 2*u**2 - 10*u. Let q(v) be the first derivative of h(v). Determine q(l(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + 1. Let o be t(1). Suppose -o*p - 3131 = -3*u, 2976 = 2*u - p + 891. Suppose 3*x = 305 + u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = c - 1447, -4*c + 379 = -3*a - 5396. List the prime factors of c.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 3*h + 4. Suppose -3*f + 31 = 2*x, -4*x + 37 = 5*f - 14. Let d = f - 13. Let a(l) = 7 + 15*l - 5*l - 4*l**2 + 6. Give d*a(s) + 7*n(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 160*o**3 + 2908*o**2 - 16544*o + 13794.\nAnswer: 2*(o - 57)*(o - 11)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*b = 2*b + 10, 0 = -d + 2*b + 6. Solve 5*g - 28 = f - 3*f, d*g - 4*f = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582468.\nAnswer: 2, 3, 48539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + 11 + (-4 - -1) + -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -58?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.75724 milliseconds in seconds?\nAnswer: 0.07075724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (14 - 24)) + -4 + -1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from yrrfr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 0, -1.\nAnswer: -6, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19147 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 495 or 785?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 10.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 663213877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -6*s**3\/5 - 4404*s**2\/5 - 397794*s\/5 + 4360956 = 0?\nAnswer: -617, -155, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.47 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58567697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2662030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and ((-36)\/48)\/(3\/(-608)).\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.4 (c) -5402 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 53*n + 48*n = 100, 4*r + 3*n + 60 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 172 in -92, -0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fvffvvvffvfvvf.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*f + 120. Let u = -13 + 205. Calculate the greatest common factor of u and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 71 = -267. What is the greatest common factor of 378 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 25*s**4\/6 - s**3\/6 - s**2\/2 + 11*s + 12. Let x(b) be the first derivative of z(b). What are the prime factors of x(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60307, -120613, -180919?\n\"Answer: -60306*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = -4*a + 10, -2*o = a - 9. Let r(d) = -4*d + 7*d - d**2 - 835 + 836 - 2*d. Calculate r(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, -912, -3620, -7858, -13884, -21956, -32332?\nAnswer: -45270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 73*p - 350. What is l(4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 14*y - 14. Let z(g) = -g**2 + 6*g - 15. Let v be z(0). Let l be p(v). Is l < 2\/1335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/(x*x\/(x**2\/x)))\/((x\/x**0)\/((x\/((x\/(x*x\/(x**(-2\/13)*x)))\/x*x))\/x)) assuming x is positive.\nAnswer: x**(-242\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 47 = -43. Solve -2*m + c*i = -0 + 6, -3*i - 31 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/3987?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*b**3*f**2*s**3 + b**3*f**2*s**2 - 162050*b**3*s**3 + 90498*b**3*s - 11*b**2*f**2 wrt s.\nAnswer: -546*b**3*f**2 - 972300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 5*o + 5*g = -0*o + 10, 29 = -3*o + 4*g. Let q be o + -3 + 5 + 3. Solve 2*l + i*z + 30 = 0, -q*l + 3*z + 5 = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443 - 441. Suppose 5*b = -3*v + b - 7, 0 = v - 2*b - 11. Suppose -v*u = -h*u + 5*y - 95, -4*u + 365 = 5*y. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h = 19*h + 503*h + 12272 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(-6)\/(-4). Let k(b) = 1. Let u(x) be the first derivative of x**2\/2 - 24. Give l*k(o) - 2*u(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118672772 to the nearest integer?\nAnswer: 10894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 25*a**3 + 3*a**2 - a - 1. What is the units digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 4*r**5\/5 - 5*r**3\/6 + 7*r. Find the second derivative of x(o) wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - (36 + -14)) + 3456\/(-105)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 112.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/30 - 5*p**2\/2 - 11*p. Let x(n) be the first derivative of t(n). Let j(i) = 15*i - i + i. What is x(j(y))?\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3 - 42. Let l be (8\/10)\/(3\/c). What is the units digit of (l - 2)\/(2\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/77 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*t = 151 + 440, 0 = -4*j + 2*t - 790. Let m be ((-6)\/12)\/(3\/j). Let z be 1874\/22 + (-6)\/m. Calculate the highest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 9. Suppose 6*u = 4*h + u + 17, u = -3*h - 27. Let c = h - -1. What is the units digit of f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 0*w - w - 2*w**2. Let l(o) = -7*o**2 + 5*o - 2. Suppose -2*h = 3*h + f - 25, 0 = 5*f. What is h*r(p) + l(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + l + 78 - 74, 30 = 3*t + 5*l + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*v**3 - 1\/8*v**5 - 1\/4*v**2 + 1\/8*v + 1\/4*v**4 + 0 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52652 (base 7) in base 5?\nAnswer: -404042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = -4*v + v, 4*j - 18 = v. Let u be 2*75*20\/v. Let c be u\/(-2 - (-309)\/156). Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 70*a**2 + 1\/60*a**5 - 1\/8*a**4 - 1\/3*a**3 + 1\/210*a**7 + 1\/40*a**6 + 0*a + 0. Find h such that k(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17145)\/630)\/(-127))\/(3\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 7762257 = 119*n + 1174872. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 57*c**2 - 2*c + 8. Let j be u(-5). Suppose -194 = -x + j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776653 is divided by 1294.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*a - 73*a + 100347 = 1420*a + 10877 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 19*h + 52. Let r be 162 - (h\/5 - 6\/15). Let t = -84 + r. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/6 and -13\/596.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11 + 18 - 838464*h - 15 + 18. Let z = -24 - -37. Let a be n(z). What is a rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 + 2*d - 7. Let k be z(7). Suppose -53*l + 16 = -52*l. Suppose k*n + l = 9*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 922*o + 1848*o - 985*o to d + l*o**2 + t*o and give t.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 3, w: 13}. What is prob of picking 3 w and 1 q?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 177037942\nAnswer: 177037942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3303 + -8?\nAnswer: 32b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681435 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**2 + b**2 + 0*b**2 + b**2 - 2*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 827913979885?\nAnswer: -827913979885.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -332 - -5?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**6\/15 - i**4\/3 - 3*i. What is the third derivative of g(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 363 and -18675356186?\nAnswer: 18675356549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 - 23*i**2 + 58*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - t + 3 = -3*d, -4*d + 6 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10975 + 18613. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(50))**2 + sqrt(50) + 2 + -6*(-1 + sqrt(98)).\nAnswer: -57*sqrt(2) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {e: 1, v: 2, l: 2, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12 - 12 + g. Let j(k) be the second derivative of -k + 0*k**2 - 1\/3*k**3 + 0. Calculate j(d(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 320 = -o. Let z be ((-1)\/(4\/o))\/2. Calculate the highest common divisor of 12 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, 3, -3, 4\/5, 11, -102?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097425, -2194853, -3292281?\nAnswer: -4389709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6595, -26523, -59735, -106231, -166011?\n\"Answer: -6642*f**2 - 2*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -1) + -10 + 5. Factor -m**5 - 2*m**4 + m + 3*m**2 - 7*m**2 + 6*m**h + 0*m**4.\nAnswer: -m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 - 292.531. Let l = z - 0.4690229. Round l to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 18 = 9*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 2*d. Let n be 0\/(d + 1 + -1). Suppose -3*g = -3*u - 7 - 8, n = 5*g - 3*u - 21. Solve l = -3*b - l + 19, 14 = g*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -1 + 17. Let r = z - -2. Let x(t) = -1. Let g(y) be the first derivative of y**2 - 3*y + 111. Determine r*x(d) + g(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-8896)\/160 - (-186)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (3 - -1)\/(-2). Let i = -7 + n. Is 6 a factor of ((-10)\/(-25))\/(i\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 40 + (-5)\/(-5). Let k = 11 - 51. Let j = i + k. Put j, -4, 2\/5, -0.4 in descending order.\nAnswer: j, 2\/5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2290 and -31\/2238704?\nAnswer: 11193520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 1. Suppose 1 = 2*d + f, 0 = d + 5*f - 2*f + 2. Determine b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * -1.6\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a - 3*v - 18 = 0, -3*v = 5*a + 27. Let g(n) = n + 4. Let i(s) = 1. Let r(p) = -g(p) + 3*i(p). Let y be r(a). Solve 0 = -0*z - y*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 357 in descending order.\nAnswer: 357, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 13. Let j be a(5). Let r(k) = k**2 + 7*k - 1. Give r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q + 2*q**3)*(1 + 1 + 0) + 337109 + 535*q - 337109 - q**3 to h*q + s*q**2 + z*q**3 + x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101947958*t**4 - 226216093*t**2 wrt t?\nAnswer: -2446750992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45116255?\nAnswer: 5, 9023251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 241219.1ng?\nAnswer: 241.2191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {g: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/2))\/y**(-12))\/(y**(-4))**(-12) assuming y is positive.\nAnswer: y**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 17}. Give prob of picking 2 n.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -395 or -394?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1050\/526 + (-3 - -1))*2. Let m(w) = -w**3 - 72*w**2 - 142*w - 141. Let n be m(-70). Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-90)\/(-12)*(-20)\/6*33074\/(-46). Does b = 17976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - -313. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -4198.\nAnswer: -11\/4198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 3*m. Suppose r + 16 = 2*a + m*r, 2*a = 3*r + 2. Suppose -74 = -a*h + 18. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k. Let u = 3 - k. Suppose -u*d - 23 = -422. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-27601 + 16367*m + 27601) to o*m + r and give o.\nAnswer: -16367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 105*y - 14803. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/5)\/(187\/(-85)). Which is the closest to 1? (a) p (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 147 - -3?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6875 - 12927*h + 6875.\nAnswer: -12927*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18641 + -36940. Let z = s + 18299.059932. Let d = z + -0.06. What is d rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -28, -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 + 13736*v\/5 - 13732\/5.\nAnswer: -4*(v - 3433)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:52 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8521*l**2 + 2*l + 1. Let c be m(-1). Let i be ((-6)\/5)\/((-18)\/c). Suppose i + 82 = 10*p. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, 0, 6, -5, 8, 3.\nAnswer: -250, -5, 0, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 344*n - 2072. What is m(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1250, 2507, 3762, 5015?\nAnswer: 6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 20\/113, -0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41800607 rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1280.8 + 1325. Let w = 3.5 + -47.5. Let x = f + w. Sort -2\/23, x, -2 in decreasing order.\nAnswer: x, -2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548590 and 210?\nAnswer: 1645770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.03 * 474\nAnswer: 1436.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -9*h**4\/2 + 13*h**3\/3 - 9*h**2 + 3*h + 9. Is a(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7906, 2\/13, -0.4, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 21. Let v be 1 - (3*-5 - k). What is the highest common divisor of v and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*18 - ((-2)\/7)\/((-288)\/(-9492))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (0 - (-2 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633843161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2342543\/12 - 195381. Let s = v + 535\/3. Let y = -9 + s. Which is the second biggest value? (a) 4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -67, -121, -209, -343?\n\"Answer: -2*q**3 + q**2 - 21*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 6380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214328 and 1168.\nAnswer: 428656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**8\/q))**37\/(q**(-25)\/(q\/((q\/(q*q**22))\/q))))**(-34) assuming q is positive.\nAnswer: q**5882","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6052*g**2. Let x(b) = -6*b**2 - 44*b. What is x(w(r))?\nAnswer: -219760224*r**4 + 266288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 984, 2023, 3106, 4233, 5404?\n\"Answer: 22*k**2 + 973*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 2*l. Find the second derivative of 0*n**l - n + 0*n - 3*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.75 + -7.7500723. Round w to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - 9\/(-2). Let a = 237 - 397. Let q = a + 160. Solve 0 = -q*u + x*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 2}. Give prob of sequence ded.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 155*b + 155*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.02 + -0.02. Let s = 1.3 + -0.3. Let l = -133.4 + 133.7. What is the nearest to s in k, 8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 685 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o = 0. Solve -4*s - 32 = 4*i, -5*i + 4*s = -o*s - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - 4*l**3 + 19*l**2 - 81126*l?\nAnswer: -24*l**2 - 24*l + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -5 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16946, -16946, -16944, -16940, -16934?\n\"Answer: p**2 - 3*p - 16944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 418*d**2*p - 4*d*p**2 - 19*d*p - 78118*p**2 wrt d?\nAnswer: 836*d*p - 4*p**2 - 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11876 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = r - 5, 0 = -r + 4*v + 7 + 1. Suppose 0*f + 31 = -3*f - 5*o, -3*f = -r*o - 14. Let b = 3 - 2. What is the nearest to 1\/3 in f, b, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/5 - (-3 - -8)\/(-25). Suppose -2*t + 150 = v*m - 7*t, -t = -2. What is the remainder when 93 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*o - 82 = -32, -2*o = 8. Let t = -10 + d. Let b be 6\/(-21) - 180\/(-42). Solve -t = -b*k + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -i + 1 + 6, -r = -2*i + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-9))\/((-44915)\/37314).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*k - 15, -a + 0 = -5*k + 3. Solve d - 4 = -k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 - 10*j - 23. Let r(c) = 1. Let n(o) = -5*o**2 + 5*o + 15. Let y(m) = -n(m) + 4*r(m). Let z(v) = 6*k(v) - 14*y(v). Differentiate z(l) wrt l.\nAnswer: 4*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*n**2 + 12985855*j*n + 127374737*j + n**2 - 2 wrt n?\nAnswer: -2*j*n + 12985855*j + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -3462?\nAnswer: 3455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2026224 and -167\/4590.\nAnswer: 516687120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (2 - 1)) + (4 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**4 - 776*c**2 + 3*c + 4828.\nAnswer: 48*c**2 - 1552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**3 + 13*p + 7. Let x(w) = -5*w**3 + 6*w + 4. Give -4*a(m) + 7*x(m).\nAnswer: m**3 - 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agg when three letters picked without replacement from {g: 3, u: 4, a: 1, i: 3, f: 8}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -420 - -424. Let z(k) = -k**3 + k + 30590. Let a be z(0). Suppose -5*r + 5*s + 50990 = 0, -3*r + s + u*s + a = 0. What is r rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1502772388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -2602, 3\/656, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 - v. Let n(x) = -x**3 - 13*x**2 - 2*x. Let m be (-5)\/(35\/(-21)) + (-18)\/9. Give m*n(h) - 2*p(h).\nAnswer: h**3 - 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2794 + (2 - (2 + -1))\/1.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 279*j**3 - 2568*j**2 - 6896*j - 4608.\nAnswer: (j - 288)*(j + 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146512.0580012 - 146512. Let f = 0.058 - a. What is f rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*p**3 - j*p + 26*j - 29*p**3 + 4 wrt p.\nAnswer: 30*j*p - 174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 2. Let k be d(0). Suppose k*l + l = 0. Is l equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 4. Let i(g) = -3*g - 11. Let f(u) = 8*h(u) - 3*i(u). Calculate the least common multiple of f(7) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.69747 to zero decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.57226 seconds to minutes.\nAnswer: 3.142871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1679, 6694, 15049, 26744?\n\"Answer: 1670*x**2 + 5*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/70)\/(1592\/995)*(-7)\/3.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 28 = 21*q. Suppose 0 = 5*j - 3*w - 36 - 49, 2*w = -q*j + 90. Solve 4*m + 5*h = j + 15, m - 3*h = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 9:08 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (31842\/(-1647))\/((-161159)\/161157 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -15. List the prime factors of 304\/10 + 2\/a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63139 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j**3))**(-31)\/(j**3\/j)**(-1))**(-46) assuming j is positive.\nAnswer: j**(-4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-482)\/(-51) + 4134\/13780*20\/(-51).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1252894, -1252962, -1253026, -1253086?\n\"Answer: 2*o**2 - 74*o - 1252822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 151 + 109 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 8. Let h(x) = x + 3. Let n(l) = 4*g(l) + 11*h(l). Let d be n(2). Is 12\/(-14)*7\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 7*a + 3. Let y be u(-5). Let p = y + 5. Let o(x) = 1162501*x**3 + 2*x**2 + x + 2. Let s be o(p). What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3277, 6855, 10439, 14029?\nAnswer: 17625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4176667 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 6. Let m be y(6). Let d = 56 - m. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (16 - (-9 - -21)) + -20\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*a - 2*u, 4*u = a + 55 - 71 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1. Let h(d) = -3*d + 127. Determine 5*b(y) - h(y).\nAnswer: 3*y - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: eee8 (base 16) to base 8\nAnswer: 167350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - c. Suppose 5*i + 2*d = -1, -4*d + 9 - 1 = 0. Let u(q) = 8*q**2 + 5*q. Let h(l) = i*u(l) - 5*f(l). Let n(z) = 5*z**2. Give n(h(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55455*f**2 - 60678.\nAnswer: -110910*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*j = 2, -3*h - j - 1 = -9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 3*g**2 - 9599 + 9594 + 2*g**2. Let c(s) be the second derivative of -s**3\/6 - s**2\/2 + s. Calculate -5*c(r) + f(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*y - 4*b + 41, 0 = -y + 3*b - 7. Suppose y*w = -k + 13, 4*w - 5 = -k + 6. Solve 10 = -3*u + u, -2*u = k*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.078 - -0.022. Let j = y - 2. Let m = j - 0. Is m bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4, 298648 in decreasing order.\nAnswer: 298648, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g + 12. Let o(j) = -4*j + 4. What is 6*l(m) - 17*o(m)?\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 1083978 = 346079. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0250282 to four decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 418, -3 in descending order.\nAnswer: 418, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -23, -1\/4, -6, 0, -54, 2 in increasing order.\nAnswer: -54, -27, -23, -6, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 1, e: 3}. What is prob of sequence yhyy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o - 7. Let v be l(-6). Let m(n) = n**3 - 16*n**2 - 17*n + 14. What is the least common multiple of m(v) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -58. What is the second derivative of -30*v**2 - v - 15 + 34*v**w - 48*v**2 wrt v?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 25, 81, 159, 259, 381?\n\"Answer: 11*b**2 + b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -982342 * -0.4\nAnswer: 392936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17042490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 43 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v + 4. Let c(g) = g**2 - g. Let p be c(0). Let a be y(p). Suppose a*l - 24 = -4*q, 0*q - 3*q = 5*l - 30. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372956.\nAnswer: 2, 93239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9847.211 millimeters?\nAnswer: 9847211000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -215625*i**3 + 3*i**2 - 11*i - 4. Let h be o(4). Round h to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 146*j - 69*j + 106*j + 30*j. Let d(s) = -284796 + 0*s + 284796 - s. Calculate i(d(t)).\nAnswer: -213*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 6*(sqrt(187) + sqrt(187)*-2) - (sqrt(187)*2*-5 - sqrt(187)))\/(3*3*(sqrt(11) + sqrt(44))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 45*h**2 - 171*h + 1302. Calculate n(48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 201*b**3 + 7*b**2 - 15*b + 4. Let c(j) = -401*j**3 - 15*j**2 + 30*j - 10. Let q(x) = -2*c(x) - 5*u(x). Find the third derivative of q(z) wrt z.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 8*u + 2. Let o be r(6). Let q be o\/14 - (-2)\/7. Let m be 5 + (-2 - (0 - 0)). Solve -m*d = 3 + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = s - 0*y, -4*s - 4*y - 8 = 0. Let a = 17.1 + -2.1. Let f = 14 - a. What is the closest to -0.1 in 1\/6, s, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165640320 divided by -2384.\nAnswer: 69480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-13)*r)\/r**(-2\/17)*(r\/r**(2\/27))\/r*r\/r**0 assuming r is positive.\nAnswer: r**(-4570\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -298*n**2 - 64*n - 394. Let q be l(-6). Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 12*m + 36 = 0. Solve -m = -2*a + 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 11*a**2 - 11*a + 11. Let j be y(10). Solve -2*g + j = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - 5) + (16 - 11 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*s - 160357 = 0, 0 = 4*j + 3*s - 84360 - 43922. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - 22 + 22)*((n + 5*n - 4*n)*(0 - 2*n + 0) - n + n - 2*n**2 + 3 - n**2 - 3 + (6*n + 3*n + 4*n)*(0*n - 4*n + 5*n)).\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3465984?\nAnswer: 2, 3, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -1.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(468)*-2)**2)*-1.\nAnswer: -1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846606864 by -5569782.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i + 1131. Let k be s(-93). Solve 61*t = 66*t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-2))\/((-3)\/(6\/2)). Suppose 2*y - s - q = 0, 5*y = 5*s - 2*s + 31. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1348 divide 20797698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from {f: 4, i: 6, g: 3, c: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12762 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31815, -430\/9, 2.\nAnswer: -31815, -430\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 = s, 0 = 3*s - 4*s - 5*p - 13. Which is the closest to 0? (a) -1 (b) s (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i**3)*(-196*i + 85*i - 524*i).\nAnswer: 1270*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.717671 plus -0.1194?\nAnswer: -4.837071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-505)\/(-70) - 6) + 84\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -180a679 - 32?\nAnswer: -180a700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 782 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 52. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5893*m = -2948*m - 2916*m + 754 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 - m**3 + 5*m**2 + (m**2 + m**2 - 3*m**2)*(2*m + 2*m - 6*m) + 2*m**3 - 2*m**2 + 2*m**2 - 1 + 1 - 5*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 5*v + v)*(-v**2 + 2*v**2 - 2*v**2) + 0*v**3 + 0*v**3 + v**3 - v**3 + 7*v**3 - v**3 to p*v + o + d*v**3 + k*v**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*b**4 - 3919*b**3 - 2*b**2 - 16106211*b?\nAnswer: -216*b**2 - 23514*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -895, -813, -737, -667, -603?\n\"Answer: -3*c**2 + 91*c - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770830.\nAnswer: 2, 5, 19, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j + 15*j - 2541. What is the smallest common multiple of 6 and j?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1690)\/143 + 4 + 8. Sort 65, 0.2, d.\nAnswer: d, 0.2, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 16, -11, 0 in ascending order.\nAnswer: -11, 0, 16, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11728*m**2*o**2*r - 186*m**2*o*r + m*o**2*r + 2*m*o*r + 3*m*r - 163520*m + o**2*r - o wrt m.\nAnswer: 23456*o**2*r - 372*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1298 + 1911. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-795)\/(-160) - 9) + 882\/784?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**3\/3 - 2*o**2 - o + 37. Let l(m) = -m**2 + 5*m + 1. Give -4*g(v) - 3*l(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 16*h - 66 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157025941 rounded to 3 decimal places?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 6*w + 2*w - w. Let h(q) = 3*q**2 - 1. Let o(m) = -9*m**2 + 17*m + 2. Let f(l) = 2*h(l) + o(l). Determine a(f(i)).\nAnswer: 9*i**2 - 51*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153 - -4?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3782.46907278265 and 5.\nAnswer: 3787.46907278265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4637314?\nAnswer: 2, 11, 101, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13413466 divided by -6706733?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 685671 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3180, 3374, 3568, 3762, 3956, 4150?\n\"Answer: 194*a + 2986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7.2. Let n = s + 2.29. Is n at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811300, 811272, 811196, 811048, 810804, 810440?\nAnswer: 809932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*c + 605544 - 615554 = 0 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7568893 to 3 dps.\nAnswer: 5.757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, 52.3, 3, -3, -124?\nAnswer: 52.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -16. Let i(c) = c**2 + 4*c + 7. Let o be i(-5). Suppose 0 = -2*d + 32 + o. What is the remainder when j is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 - 7 = 0, -120 = -3*q - 3*t. Calculate the remainder when 470 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/252 and 3\/280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*p - 3 - 3, 12 = i - 4*p. Suppose -2*c + i + 20 = 0. Is 11 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 11) to base 5.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 - j. Let k be d(1). Let s = k + 1. Find the third derivative of -6*c**2 + 4*c**4 - 3*c**4 - 3*c**s wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28068829 to the power of 1\/2, to the nearest integer?\nAnswer: 5298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -26, -44, -62?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:05 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15305*z**4 + 36*z**2 + 17*z wrt z.\nAnswer: -367320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5390 or -3?\nAnswer: 5390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 - 5 = 0. Sort -4, 1, m in ascending order.\nAnswer: -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmlslssqmlsvel. Give prob of picking 1 v, 2 s, and 1 l.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.948 - -16.968. Let w = j - 16. Round w to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/20 + (-61)\/5. Let k(o) = -o. Let t be k(3). Let w = t - b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -57. Calculate the highest common factor of 306 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/17)\/(b\/((b*b\/(b*b**23))\/b)))\/(b**(2\/21)\/b*b**32*b) assuming b is positive.\nAnswer: b**(-20047\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -29 + 2\/3*z**3 + 0*z + 0*z**2. Let g(o) = o + 5. What is x(g(a))?\nAnswer: 2*a**2 + 20*a + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -29*l + 129. What is k(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let r(n) = -70*n**2. Determine k(r(q)).\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1964)\/6)\/(-5*(-4)\/(-30)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5246*i + 11630. What is a(-2)?\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1050410223 (base 6) to base 15.\nAnswer: -10254e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1083 + -1083.2. What is the closest to -1\/2 in -10, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eev when three letters picked without replacement from {e: 2, v: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-9 - 6)) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = -0. Does 12 divide (2\/i)\/((-7)\/504)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 845791374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0201 + -2.7899. Let w = o + 0.01. Let t = 0.2 - w. What is the third smallest value in 1, t, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - r. Let f(v) = -9*v + 3*v**3 - v**3 + 3*v**3 + 2 - 10*v**2. Let p(i) = f(i) - 6*m(i). Is 16 a factor of p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beiiqeqeeieeeeb. Give prob of picking 2 b and 1 e.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3472, 3336, 3200, 3064, 2928?\nAnswer: 2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cooccccc. Give prob of sequence co.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85215483 and 0.3.\nAnswer: -25564644.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6934\/70 + (-216)\/252. Let l = m - 967\/10. What is s in -3*s - l*s**2 + 9\/2 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coj when three letters picked without replacement from {d: 5, o: 8, j: 4, c: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20351 by -2.\nAnswer: 20351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:49 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvbbvbbbv. Give prob of sequence bbb.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -20\/13 (c) -1\/3 (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u + 2. Suppose -12 = 3*c - 0. Calculate the smallest common multiple of a(c) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {h: 9, p: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2833 - 2832.997911. What is m rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tymytfmymfy. Give prob of picking 2 y and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*r - 3672 = -1946*r + 1273*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27923 = -4672*r + 8661*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1978300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)*f\/(f**(1\/7)*f))\/(f*f*f\/f**(2\/3)*f**4*f))\/((f\/f**3)**37)**(-1\/26) assuming f is positive.\nAnswer: f**(-8818\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 192, 288, 420, 600, 840?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let p(d) = 107 - 46 - 33 - 44. Let r(x) = -19. Let m(a) = -6*p(a) + 5*r(a). Let i be 0 - (-1)\/(-2)*2. Give i*m(f) + 3*u(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**33)\/b)\/b)\/b*b*b**(20\/9)*b assuming b is positive.\nAnswer: b**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 55*x**2 + 647*x - 31. Let b be l(38). Suppose 0 = t + 2*t - 21. What is the greatest common divisor of t and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:05 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvopvpoddhdvd. Give prob of picking 1 v, 2 p, and 1 o.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2 - 2*j - 3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olzkklh. What is prob of sequence zh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let l = y + 2. What is the second smallest value in l, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)*t**(-2\/15))\/(t*t\/((t*t**(-3\/7)\/t)\/t))**(-8\/9))**49 assuming t is positive.\nAnswer: t**(-3206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2991, -3028, -3053, -3060, -3043, -2996, -2913?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*p**3 - 8931*p**2 - 28110*p - 4437.\nAnswer: -3*(p + 3)*(p + 493)*(6*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 0 + 2 - -3446 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7115 = -4*t + m, -10 = 2*m - 4*m. Let n = 106\/341 - 4963\/1705. Calculate the common denominator of ((-4)\/(-70))\/(48\/t) and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -2. Suppose 57 = o*t - 35*t. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -3*b. Let o be b*-6*2\/8. Let i be 9 - 12 - -17*o. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from wgwwqqzqgwggwqtt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f*(f**(-1)\/f)\/f)\/(f**0)**(-4\/5) assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**2 - 174*d + 119. Is 4 a factor of i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1225 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 2*f - 8*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306*s**4 - 2*s**3 - 25016*s**2 - 8626*s + 2894?\nAnswer: 3672*s**2 - 12*s - 50032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1273, 7\/327, -2, 3, -5, 0.1 in increasing order.\nAnswer: -5, -2, 7\/327, 0.1, 0.1273, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101491791438 + -339\nAnswer: -101491791777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -169. Let m = -14 + 7. Let u be (5 + -1 + m)*(-7)\/t. Sort -5, u, -3 in decreasing order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3013 divided by 19.\nAnswer: 3013\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1659 greater than -1659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1449 and 1656?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-399)\/(-9) + 3 - (-40)\/24. Find the third derivative of -3*o**2 - 19*o**2 + k*o**5 + 0*o**2 wrt o.\nAnswer: 2940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 10*s. Let k(t) = 49*t**2 + 109*t. Let x(f) = 25*f**2 + 55*f. Let n(z) = 4*k(z) - 7*x(z). Let q(g) = 4*n(g) - 22*u(g). Factor q(r).\nAnswer: -4*r*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47140 is divided by 1232.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2319 - -3788. Let d = m + 8250. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111 + -10101?\nAnswer: -1001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 822\/1595?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12005745 to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-16) - (-7086335)\/(-268). Let c = o - -26442. Calculate the common denominator of ((-105)\/75)\/((-28)\/(-455)) and c.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/3780 - q**6\/120 - q**5\/18 + q**4\/3 + 11*q**3\/6 - 57*q**2 - q. Let t(k) be the second derivative of s(k). Factor t(y).\nAnswer: 2*(y - 10)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31672.43 years?\nAnswer: 3167.243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/18)\/((-6)\/(-36)). Let c = -2\/1079 + 4326\/5395. Factor t*r**2 + c*r + 2\/15.\nAnswer: 2*(r + 1)*(5*r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 - 331. Let y be (-4)\/6*(-18)\/4. Sort r, y, -5, 4.\nAnswer: r, -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0491 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 93 + 2*l + 0*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 m when three letters picked without replacement from dgdiggvidgimggvgdvg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -364*i**2 + 3*i. Let l(t) = 725*t**2 - 5*t. Let n(k) = 3*l(k) + 5*p(k). Let h(q) = -q. What is h(n(m))?\nAnswer: -355*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -610*d + 5492. Calculate m(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v. Let t(k) = k + 449. Let f be t(v). Is 18\/24 - f\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 20 - 2*q - 2 + 2. Let m = 171 - 171. What is the units digit of r(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -7\/6*d**3 - 9*d - 8*d**2 - 1\/12*d**4 + 0. Let u(h) be the first derivative of w(h). Give u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3598, 2720, 13240, 27962, 46886, 70012, 97340?\n\"Answer: 2101*a**2 + 15*a - 5714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 655 + 8*i**2 + i**4 + i**3 - 669 + 26*i - 26*i to the form z + q*i + v*i**4 + w*i**2 + x*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2010584 (base 12) to base 2\nAnswer: -10110110111010000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -519908 - -2?\nAnswer: -519906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - (2 + sqrt(1331))) - (2*sqrt(88))\/sqrt(8) - (3 + sqrt(11) + -4 + 2))**2*2 + 2 + 4.\nAnswer: -96*sqrt(11) + 1432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24) + -2*(-745)\/60?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*b = -8, 5*b - 15 = -5*r + 15. Suppose -r*n + 5*g + 537 = 0, 0*n + 2*n - 270 = 4*g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:09 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 17 = -13*d - 2*s, -s + 13 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -28*u**2 + 42*u + 18. Let j(i) = 19*i**2 - 28*i - 12. Let r(a) = 8*j(a) + 5*l(a). Let o be r(-9). Suppose 9*b = 3*b + o. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 20364.\nAnswer: 142548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -11*2\/2. Let j = r + -7. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07276 + 2.92724. What is the closest to 42.9 in -0.1, m, 0.2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 39*t + 216. What is the remainder when u(34) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42a4 - -22?\nAnswer: 42c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58222\/273 - 1504\/7. Calculate the common denominator of 44\/17 and a.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2 in descending order.\nAnswer: 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*b - 520*b + 171*b - 1431 = -177*b for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -78. Suppose 3*d + 175 = -2*d - 5*y, d + k = 2*y. Let p = -24 - d. Is 13 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.05 - -0.05. Let h be 36\/18 - 680\/342. Let b = -4\/19 - h. What is the closest to v in b, -0.5, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 111*z + 332. Determine b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.054245 millilitres to litres.\nAnswer: 0.001054245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195355577 rounded to five dps?\nAnswer: 0.19536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -3\/8 (c) 4 (d) 2\/15 (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318058 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/288741 and -11\/5298?\nAnswer: 577482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0*t**3 + 4*t**3)*(-1 - 1 - 2 + (-1 - 1 + 1)*(4 - 1 - 2)).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4200 and 26208?\nAnswer: 655200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3\/g)**(-2\/7)*g*g**(7\/5)*g\/((g\/(g*(g*g*g**4*g)\/g)*g)\/g))**(22\/9) assuming g is positive.\nAnswer: g**(6578\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/37 + -7\/185. Let h = -7.5 + 14.5. What is the fourth biggest value in 0.5, 0.3, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/((-24)\/(-216))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 3*u**3 + u**3 + (-3*u**3 + 2*u**3 + 2*u**3)*(4 - 4 + 2) - u**3 + 3*u**3 - 3*u**3 + u**3 - 5*u**3 + 5*u**3)*(-2*u - 2*u**2 + 2*u).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/7*n - 1\/7*n**3 - n**2 + 40\/7.\nAnswer: -(n - 4)*(n + 1)*(n + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = y + 6, -5*y + 2*l = 5*l - 22. Suppose -y*o = 3*o + 15. Let z be (-27)\/12 - (-63)\/252. Sort o, z, 3 in descending order.\nAnswer: 3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 64. Let p be (-2 - 151)\/(j\/2 - 0). Suppose 5*w + 2 = p. What is the greatest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11669 + 11658. Let c(v) = -9*v - 8. Let w(a) = -5*a - 4. Calculate u*w(g) + 6*c(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 2:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(1377) + 2).\nAnswer: 4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/40 - 2146\/16. Let c = -87 - f. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = -3. Let h = 74 + 181. Suppose -h = -5*g - 3*a, -m*a = -g - 2*g + 129. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.3 - 330.7. Let q = 354.167 + g. Round q to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24703 + 24708. Solve 10*v - 3*k - 32 = y*v, k = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/7 + 158*r**4\/7 + 2242*r**3\/7 - 23550*r**2\/7 - 5400*r\/7 + 243000\/7 = 0?\nAnswer: -18, -3, 5, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**6\/39 - 18*j**5\/65 + 16*j**3\/3 - 48*j**2\/13 - 288*j\/13 + 38. Find l such that s(l) = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 4*z**2 - 2*z + 2. Let b be q(-2). Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5275*i**2 + 5272*i**2 + 5271*i**2 + 5268*i**2 - 3 - 21087*i**2.\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:43 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 3*o, q - 10 = -3*o. Let x(n) = -n**3 - 4*n**2 - n + 1. Let p be 3\/6 - 2*12\/16. Let c be x(p). Put c, -5, q in increasing order.\nAnswer: -5, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 437*c*u*z**2 - 17038*c*z**2 - 4*c*z + 4688*u*z**2 - z**2 wrt u?\nAnswer: 437*c*z**2 + 4688*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 1, -51\/7, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -107703.3 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -139.299 and -29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4. Let p(f) = 3*f + 17. Give 26*b(y) - 6*p(y).\nAnswer: -18*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83896745 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memcmememdemm. Give prob of sequence dmm.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -66, -121, -190, -273, -370?\n\"Answer: -7*h**2 - 20*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/350 and 19\/2345.\nAnswer: 23450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + 6 = 35*x. Solve -x*j = -0 + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17950 or 157?\nAnswer: 17950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 - -384. Let c = -54 + d. Solve 2*o = 2*i + 6, -i - 19 = c*i + 3*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 51 + 28 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f + 2. Let o(n) = n**3 + 13*n**2 + 10*n - 17. Let k be o(-12). Let h be b(k). Let s = 207 + h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -h + 123, -2*x - 230 = -2*h - 0*x. Differentiate -44 - 35 - 35*g**3 + h with respect to g.\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9 = -3*u, -u + 4*z - 3 = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37127*r - 37131*r = 5*v - 53, -3*r + 6 = -3*v for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*3\/(9\/6). Suppose 3*f - h = -0. Solve f*v - 1 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzq when three letters picked without replacement from {o: 2, z: 3, t: 3, h: 2, q: 4, m: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42520 (base 6) to base 2.\nAnswer: -1011010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -996*c**3 - 4970 wrt c.\nAnswer: -2988*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let z = 6 + w. Let h = -2.4 - -2.5. Which is the smallest value? (a) z (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 50, 9, -98, -289, -582, -995?\n\"Answer: -3*c**3 - 6*c**2 + 46*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 35*u - 5. Let q(r) = -2*r**2 + 42*r + 6. Let z(h) = -5*q(h) - 6*y(h). Let d(o) = -o**2 - 23*o. Give d(z(v)).\nAnswer: -4*v**4 + 46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 - 6*q + 4. What is b(3)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 101*y - 106*y - 41, -5*m + 30 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(-46)*14*9\/63?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -13, -8, 7, 38, 91?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7882, -15648, -23310, -30868?\n\"Answer: 52*a**2 - 7922*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/31293 and 83\/90402?\nAnswer: 813618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 104*b - 55. List the prime factors of u(-35).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 212 (b) 0.07 (c) 2\/43 (d) -4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + -3 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -506003*3 + (-99)\/(-11). Round j to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -353.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -296*b**2 + 9*b**3 + 151*b**2 + 4 - b + 144*b**2 + (-3*b + 0*b + 4*b)*(b**2 - 2*b**2 - b**2).\nAnswer: 7*b**3 - b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163462 (base 14) to base 11.\nAnswer: 4910a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4971769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) 1883 (d) -4 (e) 1\/3 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 41 = -5*z, 2*z + 6 = -h - 0*h. Let f = h - -19. Suppose f*d - 4*a - 25 = 0, -99 + 34 = -3*d - 4*a. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82266590*w**5 + 128326632*w.\nAnswer: 1645331800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*l - 1 - 6, 5 = 3*f - 2*l. What is the closest to 1\/3 in 1.6, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 538*z - 21372. Give y(40).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41.06 and -4.\nAnswer: -45.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131670264.\nAnswer: 2, 3, 11, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/8)\/(u*u\/u**2) assuming u is positive.\nAnswer: u**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 6*r - 2842. Suppose -w = 175 - r. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 0, 33, -0.3 in decreasing order.\nAnswer: 33, 2\/27, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*v = -217, k - 6 = 4*v + 43. Solve k*c = 55*c - 98 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**2 + 20*k**2 + 2*k**2)*(0*k**2 - 8*k**2 + 56*k + 9*k**2).\nAnswer: 13*k**4 + 728*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. What is the nearest to -0.3 in y, 0.2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 13*v - 20. Let i be ((-81)\/(-6))\/((-1)\/(-6)). What is the third derivative of i*c - 9*c**5 + 10*c**v - 81*c wrt c?\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -98, -142, -186, -230, -274?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.4634?\nAnswer: -3.4634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20680\/25)\/2 - 6\/10.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2.5 (b) -6 (c) 11 (d) -2\/9 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 + 3*j**2)*(j - 4 + 4) + 8*j**2 + 6*j**3 - 8*j**2 + (1 - 1 - j)*(7*j**2 + 16*j**2 - 6*j**2).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**3 + 165*b**2 + 730*b + 840 = 0.\nAnswer: -28, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687871*z + 133*z**2 + 232*z**2 - 1687872*z.\nAnswer: 365*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -63, -6.1 in decreasing order.\nAnswer: 0.16, -6.1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 61, 90, 119, 148?\n\"Answer: 29*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 110000101?\nAnswer: -110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10238732 to the nearest integer?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a - 9*a - 12*a)*(2835 - 1431 - 1430) as l + q*a and give q.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1604731, 3209447, 4814153, 6418843, 8023511, 9628151, 11232757?\n\"Answer: -w**3 + w**2 + 1604720*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45870, 91746, 137628, 183516, 229410, 275310, 321216?\n\"Answer: 3*d**2 + 45867*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*x - 4782 = -904. Solve -26 = -x*a + 16 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxi. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 10 + 25)*(-x**4 - 11*x**4 - 8*x**4) + 0*x**4 - 2*x**4 + x**4.\nAnswer: 39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -5*-14*(-3)\/(-30). Put 1, -38, x in increasing order.\nAnswer: -38, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/21 > 955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 699, 432, -803, -3006, -6177, -10316?\n\"Answer: -484*f**2 + 1185*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9105*-4247.3\nAnswer: -38671666.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 30 = 0. Let m(w) be the first derivative of -13*w**4\/2 - w - 3. Let o be m(-1). Calculate the highest common factor of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = 2*a + 15, -3*a + 15 = -3*l. Put 5, a, -9 in ascending order.\nAnswer: -9, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o**2 + 91 - 32 - 58 as f*o**2 + a + h*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/(4\/(-6)). Let i(l) = l**2 - 5*l + 2*l + y*l. Let d be i(2). Solve z - d*z = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*v**3 - 1204027*v**2 - 189399503*v?\nAnswer: 54*v - 2408054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 22. Calculate d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:47 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*g - 1509 - 200 = 923 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 5, c: 1, g: 1, m: 9}. What is prob of sequence xbmb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + (-35 - (-4 - 12) - -16).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**7*k))*k)\/k)\/(k*k**(-1\/3))*k**0\/k**0 assuming k is positive.\nAnswer: k**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 1181918*s\/5 + 3545764\/3.\nAnswer: -2*(s - 1772882)*(s + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15730 + 0.0317.\nAnswer: -15729.9683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f8c20 + -4?\nAnswer: 2f8c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24616, 49480, 74344, 99208?\n\"Answer: 24864*o - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:27 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1173 - 3523\/2346. Let y = -11 + -1. Let g be 1\/3 - (-1)\/y. What is the biggest value in j, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**11*q*q\/q**(3\/4))\/(q\/q**(-2\/15))**10)**(-4\/5) assuming q is positive.\nAnswer: q**(241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.1744\nAnswer: -0.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17 = -4*l, 0*l + t - 9 = -2*l. Suppose 5*m - 44 = -64. Let o be (-90 - l)\/m + 3\/(-1). Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109795, -219504, -329213, -438922?\nAnswer: -548631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14 and 197\/8161020?\nAnswer: 8161020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 4*n**2 + n**2)*(2*n**3 - 2*n**3 + 2*n**3) - 3 + 3 + 2*n**5 + 4*n**5 - 4*n**5 + n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275629, -551248, -826867, -1102486?\nAnswer: -1378105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = 8. Let a(v) = 2*v**3 + v**2 + 4*v. Let o(x) = 4*x**3 + 2*x**2 + 7*x. Give p*a(k) - 3*o(k).\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 + 5. Let x be i(3). Let z = -27 - -12. Let d = z + x. Calculate the least common multiple of d and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/7 + 111*v\/7 - 132 = 0. Calculate v.\nAnswer: -44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 9*u + 7. Let a be k(-9). Let v = a + -1. Suppose -v*q = 4*o - 4*q - 8, 0 = -4*o + 2*q + 8. Solve o*l + 3 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndzra. What is prob of picking 2 n and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29775399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 902, 2333, 4418?\nAnswer: 7157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 82*h**2 + 336*h + 157. Determine r(86).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/12 + 2*o**2 + o + 3. Let j(u) be the first derivative of v(u). Differentiate j(p) with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*u + 57, 87*s + 59*s - 183*s - 157 = 2*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*2)\/sqrt(9))\/(3*sqrt(15)\/sqrt(3)) - (-1 + 0 + 4*sqrt(28)\/sqrt(4))**2.\nAnswer: -113 + 26*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2234 = 4*i, 4*x - 2*i - 5313 = 3679. Does 50 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/1)\/(1665\/999). What is the biggest value in 24, q, -0.1, -5, 3\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931685\/873 - 6\/27 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {s: 1, p: 2, v: 1, g: 2, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/((-549)\/(-3050))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/60 or -1?\nAnswer: 29\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -14 - (21 + (-42 - -16)) - 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**6\/45 - o**5\/15 + o**4\/18 + 2*o**3\/9 + 115*o. Factor t(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/5054 and -71\/131404.\nAnswer: 131404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 184043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -482162*k**2\/3 - 2894936*k\/3 - 4345352\/3.\nAnswer: -2*(491*k + 1474)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -486*o + 363. What is the thousands digit of s(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 0. Let v = j - 27\/4. Let u = -5 - -5.5. What is the smallest value in u, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:06 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x + 23*x = 49*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1535 = -5*x - 2*o, x - 307 = -o - 2*o. Let s = 307 - x. Solve s*a + 15 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -18 - (5 - 0) - (-1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 55*h + 2. Let v be m(1). Suppose -4*y + 163 = 4*b - v, 0 = 4*y + 5*b - 216. Factor 45*d + 5*d**4 - 15*d**3 - 25*d**2 - y*d + 20 + 29*d.\nAnswer: 5*(d - 4)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 25 = 3*v, v - 5*v = -3*o + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = 7*p - 388 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o + 3. Let x = 64 - 63. Let y be 21\/(-28) - (62\/(-8) + x). Let q(p) = -8*p - 4. What is y*q(c) + 7*r(c)?\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 210\/(-98)*(-29 - 9954\/(-350)). Solve -2\/5*k**4 - v*k**3 + 0*k**2 + 8\/5*k + 0 = 0 for k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 2, t: 1, f: 4, q: 2, j: 3}. What is prob of picking 1 q, 1 j, 1 k, and 1 i?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5*i**2\/2 - 2*i + 139. What is r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by (6\/7)\/((289\/(-1904))\/(-17))?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11829 - -97760. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1045 - 245. Suppose 3*s + 7*s = w. Suppose 0 = 5*c - f - 124 - s, -5*f + 100 = 3*c. Calculate the highest common divisor of 320 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 17*l = 4*a - 8, -5*l = -5*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 38*w + 4*b = -24532, w = 4*b + 6115. What are the prime factors of w?\nAnswer: 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29295 + -16265. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3\/7, 0.625, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4 and (-60)\/(-11)*(-16)\/24.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1366315, -10930336, -36889823, -87442510, -170786131, -295118420?\n\"Answer: -1366289*p**3 + p**2 - p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r + 19. Let q(t) = 3*t. Let k be q(-7). Let p = k + 21. List the prime factors of y(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/3 - 4*x**4\/3 - 32*x**3\/15 - 14*x**2. Solve c(t) = 0 for t.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18 and 3*(83\/(-42) - -4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 - v**2 + 3*v - 1. Calculate the remainder when f(2) is divided by (0 + 1)*(-3)\/(15\/(-55)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*c**2*d + 2*a**3*c**2*i - 8*a**3*c*d*i - a**3*d*i + 5*a**3*i - 2*a**2*c + 1069*a*c**2*i + 2*a*c*d - a*d wrt c.\nAnswer: 4*a**3*d + 4*a**3*i + 2138*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**2*z**2 + 2*x**2*z - x*z**2 + 135636*x*z - 1055*z**2 wrt z?\nAnswer: 6*x**2 - 2*x - 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v**(1\/3)*v*v)\/v*v)\/v*v**(-1))\/(v**(-2\/5)*(v\/v**(-7))\/v))\/(((v**(1\/4)\/v)\/v)**(-40)\/(v**0)**29) assuming v is positive.\nAnswer: v**(-1114\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*h = -b - 26, -4 = 3*b + 4*h. Let r be ((-39)\/(-9) + b)*0. Is r - (1778\/(-4) - 3\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 34965*r - 34969*r - 43 - 185, 0 = -r - 3*a + 130 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9547 is divided by 3153.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q - 4*i + 148, 3*q - 107 = -i. Calculate the remainder when q is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 3, w: 2, f: 1, k: 10}. What is prob of picking 1 f and 1 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnkjvjnnnjj. Give prob of picking 1 k, 2 v, and 1 n.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6*h + 40. Let f(o) = -2*o + 7. Let s be f(h). Let x = 28 + s. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906, -2995, -6470, -11325, -17554?\nAnswer: -25151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51271 + -51270. Let j(r) be the third derivative of r**4\/3 + r**3\/6 + r**2. Determine j(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 12*z + 8. List the prime factors of o(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-8))\/((-343)\/1764) + -15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 460, 1510, 3566, 6964, 12040, 19130, 28570?\nAnswer: 40696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**4 - 6079*i**2 + 221806*i?\nAnswer: -96*i**2 - 12158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1835954181275 and -8.\nAnswer: -1835954181283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(4*u + 2*u + 4*u)*(3 + 0 - 2).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + 5\/10. Let s be (-4)\/(-1*g\/(-3)). Let t(n) = -n - 11. Let q be t(s). Solve 4 = -l - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3362 - 1259. Suppose 3*u = 6*u - y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let t(o) = 390*o - 125*o - 124*o - 116*o. Give u(t(y)).\nAnswer: -1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (335\/1876)\/((-45)\/(-63))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 7*d**2 - 8*d + 15. Let k be z(3). Suppose k = 7*u + 10*u - 68. Let j be 1*5*(-8)\/(-10). Solve 2 = -s + r, u*s + r = -9 - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1740)\/70)\/29*1*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-56)*2\/9*3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w + 2*s, -8*w - 5*s = -3*w. Let v = -32 + 27. Is w < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-10))*p**(3\/8)*p*(p*(p*p\/(p*p**(-3)))\/p)**31 assuming p is positive.\nAnswer: p**(1083\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -46251, 642 in increasing order.\nAnswer: -46251, 1, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 107 + 19*i in the form w + t*i and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 2*m + 4*c - 100, 0 = 3*m + 5*c + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 0.14, -29, -0.3 in decreasing order.\nAnswer: 13, 0.14, -0.3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -137, -202, -267, -332?\n\"Answer: -65*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32697140*h**5*r + 2*h**2*r + 42*h*r - 240830*h wrt h.\nAnswer: -653942800*h**3*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let g be ((-24)\/42 - 0) + 2 + -2. Which is the third biggest value? (a) g (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 2*f)*(3*f**2 + 4*f**2 - 5*f**2) - 2*f**3 + f**2 - f**2 + (0 + 1 - 2)*(0*f**3 - 3*f**3 + 2*f**3) - 48*f**3 + 87*f**3 + 2*f**3.\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2 - sqrt(448))**2*2 - ((sqrt(252) + 0)*-5)**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 74*y**2 - 4*y - 5. List the prime factors of o(-2).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:34 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -24*r + 133. Determine b(0).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3 + 24 = 5*k, 2*a + k = -17. Let o(f) = -f**2 - 8*f + 2. Let r be o(a). Suppose 11 = -r*q + 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (4 - -2) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.5 and -1847224.\nAnswer: -1847233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261380.\nAnswer: 2, 5, 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:18 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49621040 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmma when four letters picked without replacement from {a: 2, m: 2, o: 1, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2732, -11069, -24966, -44423, -69440?\nAnswer: -100017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {h: 5, v: 1, o: 4, w: 3, b: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-21)*(-21)\/602.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 36035*f**2 + 36030*f.\nAnswer: 5*f*(f + 1)*(f + 7206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)*(s*s**(-6))\/s)**27\/(s\/(s\/s**4)*s\/(s**0*s)*s*s*s\/s**6*s**(-3\/8)) assuming s is positive.\nAnswer: s**(-7153\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 55*f**2 + 93*f + 345. What is the remainder when o(56) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-24)\/9)*16\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 1, b: 3}. Give prob of sequence yb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**5 - 825*s**4 - 36035*s**3 - 168555*s**2 + 770440*s - 565020 = 0.\nAnswer: -86, -73, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5966332174 + -5966332164.800000494. Let y = k - 9.2. Round y to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 4. Let i be w(-8). Let l be 26\/8 - (-3)\/i. Suppose -l*m - 2*a + 44 = 0, a - 3*a - 68 = -4*m. Calculate the highest common divisor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 2005802*x\/3 - 1005810415801\/3 = 0. Calculate x.\nAnswer: 1002901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4026 and 94001?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3558598516 to the nearest integer?\nAnswer: 59654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 (base 16) in base 15?\nAnswer: 1a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -52*r + 16. Let b be j(-5). Let h be ((-3)\/(-33))\/(6\/b). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f - 1937 + 1801 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*z + 9 + 8 = 0, 5*c - 2*z = -11. Suppose -5*h + 21 = -19. Suppose h = -3*t - t. Which is bigger: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002852722128 rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let m(a) = -2*a + 1. Let d(p) = -m(p) + 6*y(p). Suppose -5*s = 23 - 8. Let h be d(s). Put 3, 0, h in increasing order.\nAnswer: 0, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/10*30\/(-4). Let y = -5 + p. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 12. Let a(b) = 4*b**2 - 13. Give -6*a(f) + 7*d(f).\nAnswer: -3*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 214232.13 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/13 + 582*r**2\/13 - 42630*r\/13 + 42050\/13 = 0.\nAnswer: 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101100001 (base 2) to base 15.\nAnswer: -194d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20*(14\/6 - (-1)\/(-3)). Let t = x + -39. Suppose 3*l = 11 + 13. What is the lowest common multiple of t and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*k - 145. Let p = k + -36. Suppose -76 = -4*v - 20. What is the remainder when p is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 - 7*c**3\/3 + 11*c**2\/2 + 8*c - 1. Let p be f(8). What is p rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + 110011101010?\nAnswer: 110011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 23*n**2 + 26*n - 55. Is m(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -52, 2341 in decreasing order.\nAnswer: 2341, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41137, -40891, -40475, -39889?\n\"Answer: 85*q**2 - 9*q - 41213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3177 - 3033. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5 + 7*k**3 + 4*k**2 + 2 - 6*k**3. Determine d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 180.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 - n**2 - 1592*n**3 + 194 + 2*n - 2*n - 109 in the form p*n + y + b*n**3 + d*n**2 and give b.\nAnswer: -1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-11 + 15 + 1 - (5 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.955104 rounded to the nearest integer?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -4 (b) 0.4 (c) -7\/8 (d) 0.036 (e) 1\/54 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24\/13 (b) 2\/11 (c) 3 (d) -2\/17 (e) -2\/15 (f) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 10*l**2 - 10*l - 7. Let y be k(11). Solve -y = 2*r, 0*n + 3*n + 1 = -2*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 26*f**2 + 17*f + 132. What is the remainder when k(-12) is divided by 163?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 589680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -5 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10303208 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.9444 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 44 + 22)*(2*n**2 - 3*n**2 + 3*n**2) to t*n**2 + w + l*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2067*a**2 + 28*a - 80. Let l be w(24). What is l rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135737.21 to the nearest one thousand.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - -1 - 517286\/(-144398). Let z = o - 4\/2329. What is the common denominator of z and -9\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 66 + 51 + 416 = -3*w, 2*w = 30*o - 2374 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkykkkykkkkkk.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - p - 83*r - 192 = -79*r, -5*r = -4*p + 276 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 13. Let l(y) = -28*y - 194. Let w be -4*3 - (-24 - -19). Calculate the least common multiple of l(w) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j. Let q(b) = -19129*b + 4. What is q(y(k))?\nAnswer: 114774*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y + 87 + 363 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 + 186. Let t(c) = c**2 - c - 1. Let u(n) = 3*n**2 - 7*n - 5. Let m(q) = 2*t(q) - u(q). Calculate m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 + 6*y - 6. Let t be w(4). Let g = 4 - 1. Which is the third biggest value? (a) g (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -278623041 - 3?\nAnswer: -278623044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624119792 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8423824 decades to months.\nAnswer: 101.085888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -28442?\nAnswer: -142210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -3*o, 2*o - o - b = 22. Suppose 0*w = -4*w + o. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*q - 8 = 0, -3*a - 11 = 2*q - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-372)\/434 - (-300215)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - (7 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852587 = -14595*p + 665293 for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-5))\/(3\/(-30)). Let j be ((-2)\/(-36))\/(4\/m). Suppose -4*s = -3*l + s - 5, -3*l - 9 = -3*s. Which is the third smallest value? (a) j (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 0.3, 9, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982*f + 982*f - 161*f**2 + 137 + 81*f**2 + 81*f**2.\nAnswer: f**2 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -17*v**4\/4 - 7*v + 9. Differentiate u(c) with respect to c.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9453 and 92?\nAnswer: 37812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 985199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 82. Let t = 49 - r. Let m = 15.12 - t. What is m rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135348913*w**3 - 65772*w + 1437 wrt w?\nAnswer: 812093478*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**2 + 1095*u + 4383. Calculate the remainder when 384 is divided by n(-4).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 227*p - 163. Let h be l(3). Calculate the highest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 - -2.6. Let m = -42092620 - -42092608.0000092. Let p = m - x. What is p rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 40. Calculate the lowest common multiple of s and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/((-6)\/90). Find a, given that -9*a**5 - h*a**3 + 25*a**4 - 41*a**2 - 4*a**2 + 4*a**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:45 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i**3 + i**2 + 362*i - 364. Give a(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqbtmqbsqbqq. What is prob of picking 1 t and 1 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -190. Differentiate v*s - 10*s - 46 + 25*s - 21 with respect to s.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12326636?\nAnswer: 2, 7, 61, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9470.3814 rounded to the nearest 10?\nAnswer: -9470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 10*h**3\/3 - 6. Let j be f(1). Let c(b) = -b**3 + 11*b**2 - 9*b + 14. What are the prime factors of c(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:15 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 28*y**2 + 304*y - 10948. What is d(30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 6*z + 114. Let v = -19 - z. Suppose v = j + j + 3*h - 28, 0 = h. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -6)*(-4)\/(-5). Let z(v) = -2*v + 11. Let s(x) = -x + 6. Let y(d) = 7*s(d) - 4*z(d). Give y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11100000110101101010111001?\nAnswer: -11100000110101101010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6162 + 21101. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**3 + 6*a**2 - 4 + 3 + a**4 - 15*a**2 + 10*a**2 as u + w*a**4 + z*a + v*a**3 + d*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogogogoogoooooooogo. What is prob of sequence ggg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83, 5, 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -20*n - 260. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-4) + 2*-1. Does 17 divide (d\/15)\/(1\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 4325?\nAnswer: 430a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + -1 + 1058\/(-207)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4170653 + 4170653 - 645*c**2.\nAnswer: -645*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 85554420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/319 - (-42)\/11. Solve -11 = -b - 2*d, 2*b - 2*d = 2 - o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, and 2 n when four letters picked without replacement from {d: 1, q: 3, e: 3, n: 3, y: 7, x: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - -11110101000011101111?\nAnswer: 11110101000011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473336457 to the power of 1\/3, to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 - 3*t + 4. Let s be c(-3). Let p = 43 + 18. Let r = p - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 + 5*w + 2. Let g(k) = -2*k + 9. Suppose 0*m + 27 = m. Suppose -o - m = -5*o + y, 2*o - 9 = -y. Let i be g(o). Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 6, -0.1, 4\/3, 1\/41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 7490\/211?\nAnswer: 7490\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 9. Let d be u(-3). Let f be (-10 - -3)*(3 - 2). Let k = d - f. Calculate the remainder when 73 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*j + 17 = 0, 0*l = -3*l - 2*j + 31. Let r = l + -3. Solve r + 1 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 175 + -192 - 9\/((-135)\/264). Let q(f) = -4*f**2 - 4*f - 3. Let k be q(-2). Put -1\/2, b, k in decreasing order.\nAnswer: b, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -34*n + 38*n - 5*w, -9*w = -2*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from tsabtta?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(76) + sqrt(76) + -3 + 2) + 5*((sqrt(133) - (sqrt(133) - (sqrt(133)*-2 + sqrt(133))))*-5)\/(-2*sqrt(1008) - sqrt(1008)).\nAnswer: 839*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -33. Suppose -v*o = 4*r - 14, 5*r - 3*o + 7*o = 18. Solve -3*g + r + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 4*k + 0*k)*(322 + 296 + 61 - 143)*(k + 3*k - 2*k) in the form z + m*k + n*k**2 and give n.\nAnswer: -3216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1198, -0.7, -2\/21?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 13, 101, 0.3 in increasing order.\nAnswer: 0.3, 4\/9, 13, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {m: 1, n: 2, d: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/(-10) - 4)*5. Let b be (-296)\/(-56) - 4\/s. Suppose -b*l + 466 - 121 = 0. What is the remainder when l is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(31 + 20 + -31)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 8 = 4*t, -3*t + 0*t + 6 = -5*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867598.\nAnswer: 2, 191, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45777 (base 10) to base 15.\nAnswer: -d86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + d - 4*d**2 - d**4 + 2*d + 7*d**4 to c + m*d**4 + q*d + a*d**3 + t*d**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 891\/(-972)*(-4)\/(-3) + (-40)\/(-60)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, m: 2, i: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 16*a**2 + 68*a\/5 + 50864\/5.\nAnswer: (a - 68)*(a - 34)*(a + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 133804 - 710008 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*r + 1381, 0 = -4*r + 4*g - 9*g + 1115. What is the highest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqqqlqqqgqlggvqqq. Give prob of picking 1 q and 1 v.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95340 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598424.523 rounded to the nearest 10000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -459885 and 5.\nAnswer: -459880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 806.986249 to one decimal place.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + 5*p + 4. Let d be j(3). Let y be -3*(0 - d\/(-6)). Let l be ((-2)\/(-21))\/(36\/(-84)). Sort y, l, 0.5, 4 in increasing order.\nAnswer: y, l, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 - (13 + -11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*g = 30, j + 3*g = 2*g - 27. Let p = 34 - j. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468336548 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1080*r**3 - 4*r**2 + 4*r - 825. Let s(f) = 3240*f**3 - 14*f**2 + 14*f - 2474. Let a(p) = -7*k(p) + 2*s(p). Differentiate a(w) wrt w.\nAnswer: -3240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13333025 minus 6916860?\nAnswer: 6416165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 + 95*y - 420 = 0.\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (13 - 10 - -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + 27550\/(-16350) + (-1)\/3?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + -220020012?\nAnswer: -220021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtrm when four letters picked without replacement from {m: 1, r: 5, p: 2, t: 8, k: 2}.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.3071 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 72*u**2 - 16*u + 7. Let a(f) = -36*f**2 + 9*f - 4. Give 7*a(n) + 4*v(n).\nAnswer: 36*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.3, 0, 1\/4 in descending order.\nAnswer: 1\/4, 0, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588414 and 456492.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:05 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267942 is divided by 274.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 + (6 - 1) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 38 + -35 - -36 - (2 + 76).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - r + 99550 + 426286, 5*h - 3*r = 2629204. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let g(t) = -5*t + 5*t + t**2 + s. Calculate g(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*i + 76, 5*n - 132 = -i - 48. Suppose -9*v + 799 = -2558. Let w = v - 357. Calculate the lowest common multiple of w and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -163\/5. Let y = 0.02 - 0.22. Put b, y, -5 in decreasing order.\nAnswer: y, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886762*m + 1773522*m - 886760*m + 28*m**3.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 5. Let w(v) = v - 1. Give -3*i(f) + 15*w(f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52a138a7 - 5?\nAnswer: -52a138b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 11*j**2 + 2*j + 14. Let a be b(11). Suppose -4*l + 8*l - 144 = -h, 3*h - a = -l. What is the highest common factor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30033 - -133131000?\nAnswer: 133100301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 + 6\/879. Let a = w - -26659\/586. Let g = 1963 - 11737\/6. Calculate the common denominator of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.169659 micrograms?\nAnswer: 0.000000000169659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -80, 1 in ascending order.\nAnswer: -80, -42, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3178, 3184, 3190, 3196, 3202?\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - n - 6. Suppose -11*z + z = -60. Suppose -37 = -2*t - 5*f, t - 3*f - 18 = 6. Calculate the remainder when h(z) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 75396 = 3*m - 75435, 4*b - 5*m - 92 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -565619.616 rounded to the nearest one thousand?\nAnswer: -566000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/39 and -51\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 25. Suppose -3*b - 12 = -2*x, -q*b - b - 21 = -5*x. Suppose 6*z = x*z + 81. What is the greatest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnlnlnnlnlanl. What is prob of sequence nnln?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + m + 6 = 0, 5*u + 31 = -2*m + 1. Let c(d) be the third derivative of -7*d**4\/24 + 6*d**2 - 1. Calculate the remainder when c(u) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + l - 116, 4*z - 69 - 179 = 2*l. Calculate the highest common divisor of 60 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -81 + 31 - -31.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**47)**(1\/15)\/(o**(-3)*o\/(o**(-3)\/o))**1 assuming o is positive.\nAnswer: o**(-116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8392.398km?\nAnswer: 8392398000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3374496 and -11\/1800?\nAnswer: 84362400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (64\/160)\/(10 - (-6208)\/(-620))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20565)\/31533)\/(3\/(-299))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 456 - 444. Let k(s) = -2*s**3 + 23*s**2 + 11*s + 17. What is k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.771 - -2.09. Let o = g - -6.39. Round o to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**18*((x\/x**(-5))\/x)\/x*x*x*x*x)\/(x*x\/(x*x**5))**(-5\/8))**(4\/7) assuming x is positive.\nAnswer: x**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -478*j + 157*j + 196*j**4 + 164*j + 2 + 157*j - 3*j**3 in the form t*j**3 + i + k*j**2 + x*j + d*j**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205783944 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 495*p - 3.\nAnswer: 495*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*f + 556*f = 159. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 41*t - 16*t - 16*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 19\/2. Let u = -55 + 55.3. What is the fourth smallest value in u, f, -0.1, -0.01?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.15522mm to micrometers.\nAnswer: 88155.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 303, 521, 729, 927, 1115?\n\"Answer: -5*c**2 + 233*c + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.285 + -0.3. Let t = -0.0121 - n. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(-48)*(l*l*l\/(l*l*l**0))**(1\/32) assuming l is positive.\nAnswer: l**(-767\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 12. Let f = -283 - -307. Let k be -17 + 400\/f + 64\/(-6). What is z(k)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.03\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1800 + -261002\/145. Let a = -227193583\/347992170 - 3\/799982. Let w = b + a. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q - 403405 = -39*q. Suppose -3*y - 4*w = -q - 23199, -5*y - 5*w = -173135. Suppose -y = -6*h + 2842. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-2\/3))\/h))\/h**(1\/5)*h**(-2\/27)\/h*h**(-4) assuming h is positive.\nAnswer: h**(-487\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**6 - 6*h**5\/5 + 3*h**4\/4 + 3*h**3 + h**2\/2 - 59*h + 10532. Find the third derivative of v(y) wrt y.\nAnswer: 360*y**2 - 144*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -0.164115?\nAnswer: -2.62584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 2, o: 1}. What is prob of sequence to?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*h - 27 - 1, 5*h - 48 = 2*q. Let v(u) = 222*u - 22. Let a be v(h). Suppose 2*n = 7828 - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 1504*g**2 + 3037*g - 1949. Differentiate f(b) with respect to b.\nAnswer: 3008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6453951 and 42.\nAnswer: 12907902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-15 - -34) + -31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**3*t + c**3 + 3262*c**2*t - 94*c**2 - 115*c wrt t.\nAnswer: -6*c**3 + 3262*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 3*k + 23 = 0, -2*y + k + 9 = 0. Suppose 5*x = -5*w + 6*x + 530, 3*x + 225 = y*w. What are the prime factors of w?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -974.2 + 974.3. What is the third biggest value in -1527, 3, u?\nAnswer: -1527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43098, 67812, 92526?\n\"Answer: 24714*r + 18384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -418, -1, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -3, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332033131 - -142?\nAnswer: -332032434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 25852 - 38921. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14461411.07 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1, 11, -16657, 0 in decreasing order.\nAnswer: 11, 5, 0, -1, -5, -16657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 106*o**2. Let z(b) = -b**2. Determine z(u(g)).\nAnswer: -11236*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (29 + -33)*2\/(-160). Let j(c) be the second derivative of 2*c - 1\/6*c**4 - 1\/2*c**2 + 1\/2*c**3 + 0 - i*c**5. Determine j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dllx when four letters picked without replacement from flffddlxld?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9778643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3733 - 0.0417. Let a = f + 2.452. Round a to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49a7 + 7?\nAnswer: 49ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*-4*(-3)\/21. Suppose -d - 3634 = -i*j - 3*d, 2*j - 3*d = 1805. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/15 + 4*f**4\/15 - 4*f**2\/15 + 2*f\/15 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(325) - sqrt(325))**2 + -2 - sqrt(325)).\nAnswer: -5*sqrt(13) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -861660.\nAnswer: -11201580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -18178 <= -18186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-3 + 3 + 59*v)*(-4 + 5 + 3) - 1 - v + 1 to the form w + t*v and give t.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = 80 - 60 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 42*a - 43*a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(245)) + 5 + sqrt(245) + sqrt(245) + 2)**2*3.\nAnswer: 462*sqrt(5) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -84072 to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -41*m**5\/20 - m**4\/4 + 8*m**2 + 74*m. What is the third derivative of y(t) wrt t?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3870 + 3869. Which is the closest to -1? (a) 3 (b) 250 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -121*b. Let r be p(-2). What is the highest common divisor of r and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75528 and 6939.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w + 2*w**2 - 2*w**2. Let d be u(0). Suppose -13 - 7 = 5*i + 5*h, 2*i + h + 3 = d. Is i smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.32 to 0 dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*-1*68\/(-272)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + f - 7 = 0, -5*b - 6*f = -f - 5. Let g = 18 - 25. Let y(z) = z**3 + 8*z**2 + 4*z - 7. What is the smallest common multiple of y(g) and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 4*g + 18, -27 = 2*s - g. Let h be (s\/35)\/((-1)\/(-25)). Let u be (-104)\/h + (-4)\/10. Solve 0 = -7*f + 2*f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, o: 6, r: 2, k: 1, j: 4}. Give prob of picking 1 k and 1 i.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76366920 rounded to the nearest 100000?\nAnswer: -76400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 + 27*f - 4. Let m be x(-6). Let h be (-14)\/77 - m\/22. Let b be (2 - 372\/(-9))\/((-6)\/h). What is the highest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 16 - 4*r + 7 - 6 + r**2. What is the smallest common multiple of i(6) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5421 + -4?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3036 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 9) to base 8.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbm when three letters picked without replacement from {f: 1, g: 1, d: 1, m: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 31 + 51 = 0. Let w(y) = y**2 + 2*y**2 + 8*y - 7 - 4*y**2. What is w(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 12 + 2)*(2*h**2 + h**2 + h**2)*(-2*h + 0*h + h).\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = i + 9, l - i + 12 = 4*i. Let n(b) = b**l - 8*b**2 + 2*b**2 - b**2 - 4*b + 14 - 4. Determine n(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229548 is divided by 643?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*4\/22. Which is the closest to -2\/7? (a) 0.4 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 16. Let k = 115 + -61. Let m = k + h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2*h + 0 - 1.\nAnswer: -2*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -1358*p**5\/5 + 19*p**2\/2 + 24*p - 2259. Find the second derivative of y(c) wrt c.\nAnswer: -16296*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2 + 0 + 5. Suppose -24 = -v*t + 3*t. Suppose -t - 36 = -3*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 1 + -1 - (-12809 + 12783)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - 742\/(2\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*v**3\/5 - 294*v**2\/5 - 42*v\/5 + 4\/5 = 0.\nAnswer: -1, -1\/4, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -55 - 1. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 28*g**2 + 5*g + 5. Let n(m) = -1287*m**2 - 231*m - 231. Determine 231*f(y) + 5*n(y).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*c = c - 15, -c = 3*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-1029)\/(-5488)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -2 - -2 - 0. Let s(k) = 2*k**2 - 4*k**2 + k**2 - u + 2*k + 4. Let z be s(2). Solve 4*b = z*r + 2*r + 8, 5*b = -4*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - -1) + 0)\/(-3 - 0). Sort 2, -0.0703, p.\nAnswer: p, -0.0703, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 8*c + 17. Let u be ((-2)\/4)\/((-4)\/72). Let j be n(u). Solve 5*s = -33 + j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101 and 1324592982.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35547731\/48 - 740476. Let i = s - 293\/3. Find the common denominator of i and 3\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273960 divided by -6\nAnswer: -45660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(850\/(-100))*((305\/(-2))\/(-5))\/(-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55820 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 23723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 990398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 12. Let x be t(10). Let j be 6\/x - 234\/(-1). Suppose 5*a - 2*k = j, 4*k + 62 = 4*a - 118. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 - -289. Put c, 2, 4 in increasing order.\nAnswer: 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -8.167535.\nAnswer: 106.177955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2*2\/(-4)). Let x(a) = a**3 - 2*a**2 + 8*a + 21. Let z be x(6). Let f = z + -1279\/6. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 + j - 3. Let h(x) = -7*x**2 - x + 3. Let w(v) = 7*h(v) + 6*n(v). Let k be w(0). Let s = 9 - k. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56442 divided by -9407\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, 24317, 99, 0.2, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11866498 and 314462197.\nAnswer: 628924394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11233030 (base 5) to base 14\nAnswer: -293a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -44 - (-15 - (12 + -45) - 5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -960, -1553, -1332, 111, 3184, 8295?\nAnswer: 15852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 15*n**3 + n + 2. Let k be q(-1). Let a(s) = 2*s**2 + 29*s + 12. Let z be a(k). Is -5 + (0 - z - -36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*((sqrt(500) + 0)**2 + sqrt(500)) + 1*(0 + sqrt(500)))*-5.\nAnswer: -12504 - 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 776, 844, 912, 980, 1048, 1116?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11379 + 11383. Suppose t - 2 = 2. Suppose -t*p - 2 = -0*j + 2*j, 0 = -4*p - z. Let o(f) = -6*f. Give o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 93, 136?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3 - 3)*(4*l - 4*l - 2*l)*(67 - 7*l**2 - 67).\nAnswer: 42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/2 - 51*f**4\/2 - 225*f**3 - 618*f**2 - 708*f - 288 = 0.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:08 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + 6 + (-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2642\/(-132) + (-190)\/(-1045) and 103\/328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (1023\/(-55) - -11). Solve 12\/5*d**4 + 12\/5*d + 24\/5 - 6*d**2 - 3\/5*d**3 - k*d**5 = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -18*p + 21*p + 3, 4*p = 2*f - 4. Let h(i) = -19*i**2 + 1. Determine h(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-35) - -4)\/((-4)\/(-1)) - 9333\/16830.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*z = 0, 0 = -9*t + 10*t - z. Which is bigger: -1\/317 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*u - 30, 3*q - 52 = -44300*u + 44295*u - 18 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*p - 6758 = -134*p - 20967 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Solve r*k - 13 + 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -217\/2*h**2 - 1\/4*h**3 + 0 - 47089\/4*h.\nAnswer: -h*(h + 217)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429742260 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 + 7*o - 4. Let m be g(7). Let p = 46.5 - 47. Which is the second biggest value? (a) p (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 162.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36099 and 0.065983?\nAnswer: 36098.934017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 2. Let v(z) = 6*z + 4. Give -7*u(w) + 4*v(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721313963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 - 3*p**2 - 1 - 190 + 462*p + 292 = 0 for p.\nAnswer: -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43046, -81589, -120134, -158681, -197230?\nAnswer: -235781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -23b6a?\nAnswer: -23b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 208739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.3 - 22. Let l = 2 + j. What is l rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019*l - 1018*l - 960 = 0. 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: What is 66\/9*(-9)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/8 (b) 4 (c) 2\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 85\/(-10))\/(21*(55\/150)\/11)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -481*a**2 + a + 185 - 123 - 57 to the form k*a + r + z*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/14 + 1881\/315. Let w be (-12)\/(-5) + (-2)\/5. Suppose 8\/5 + w*l**2 - 10*l**3 + g*l = 0. Calculate l.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -1\/140*w**7 + 0 - 58*w**2 + 1\/40*w**5 - 1\/60*w**6 + 3\/32*w**4 + 0*w**3 - 1\/1344*w**8 + 0*w. Find g, given that i(g) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4243, 4205, 4151, 4081?\n\"Answer: -8*c**2 - 14*c + 4265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*f + 255, -21*f + 545 = 4*z - 20*f. Calculate the remainder when z is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27290, -27086, -26882, -26678, -26474?\n\"Answer: 204*z - 27494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-18) - -1947*10\/135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca4e7 - 5?\nAnswer: -ca4ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1992)\/(-48)*-8*(-14)\/(-56)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 65. What is the lowest common multiple of z(-10) and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-15)\/(-6) + -3). Let h be x\/9 - 68\/18. Let w(z) = 2*z + 2. Give w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1818234 = -427022 + 205113. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84*(-37)\/(-296)*(-12)\/14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/67? (a) -57.3 (b) -0.39 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -3*o. Suppose -2*c - o*c + 5*r + 15 = 0, -5*c = r + 3. Let n = -2 - -4. Solve -3*w + n - 5 = c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5892 + 5896. Sort 8, -5, w, 0, 1.\nAnswer: -5, 0, 1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-26491.4\nAnswer: 79474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36775578 + -0.13885.\nAnswer: -36775578.13885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6867 - -12269. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 + 18*g - 140*g + 4 + 19*g**3.\nAnswer: 4*g**3 - 122*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2157 = -7*k + 2764. Let i = k - 2811\/4. Are i and -110 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1010322?\nAnswer: 1010313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162376 is divided by 5796.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41a - a?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -56. Let w(z) = z**3 + 22*z**2 - 7*z + 1. Let u be w(g). Suppose 6*r = u + 1141. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -k + 3, -4*m = 4*k - 28. Suppose 0 = 2*b - k - 23. Suppose 4*j - 9 - b = 0. Calculate the greatest common factor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1293, -1288, -1283?\n\"Answer: 5*b - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from kkgkkqfkfkqgkkfk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -332*r**4 + 109 wrt r?\nAnswer: -1328*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -40, -88, -156, -244, -352?\n\"Answer: -10*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 184?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3337180 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-27\/5)*q**(3\/2)*q*q**(-5) assuming q is positive.\nAnswer: q**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358.\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygg when three letters picked without replacement from sygssgggsgggggsggg?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 71*a**2 - 10*a + 706. Calculate f(71).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 880\/(-990)*(-2970)\/(-40)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - g - 2*g = 16, -3*g = -3*u. Suppose -5*b = -11 + 1. Let q be (-3)\/(b\/(-1 + 3)). Sort q, -4, u in descending order.\nAnswer: u, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420808969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Differentiate 3 + u**3 + 0*u**l - 2*u**3 - 2 wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000722 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u + u. Let n(d) be the third derivative of -3*d**4\/8 - d**3\/3 - 36*d**2 - d. Let i(b) = -19*b - 5. Let f(c) = 4*i(c) - 9*n(c). What is f(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 200480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2964 + 73*f**2 + 4*f - 10*f + 2959. Is 13 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let o(l) = -l**2 + 9*l - 3. Let f be o(8). Let a(i) = -t - i + 0*i + f. Let d(v) = -v + 2. Give 4*a(c) - 5*d(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 + (-66)\/(-10) + -4. Suppose -1394 = -5*w - 4*l + 1231, b*w - 5*l = 1538. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239\/7 - 34. Let z(t) = t**3 + t**2 - 2*t. Let f = 10 - 12. Let l be z(f). Which is the closest to l? (a) 0.3 (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7144 - -7143.9990091. What is w rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t + i, 5*t + 0*i - 1 = -3*i. Let o be (-3)\/2 - 62*(-3)\/108. Which is the third smallest value? (a) t (b) 0.02 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)*(-4 + (-54)\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436894 to the power of 1\/2, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14618.\nAnswer: 2, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68408 + 68403. Let l = 2 - -5. Sort b, l, 2.\nAnswer: b, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a + 18. Let u be b(10). Suppose 3*i = 233 + u. List the prime factors of i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141 + 151 + 1338*d**2 - d - 292 in the form x*d + j + w*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -7*o**3\/3 - 1430. Let h(s) = 12*s + 5. Determine k(h(p)).\nAnswer: -1008*p**2 - 840*p - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*o**3*p**4 - 3*o**3*p**2 - 163*o**3 with respect to p.\nAnswer: -196*o**3*p**3 - 6*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 126*z + 4. Let t(s) = -123*s - 5. Calculate -4*a(g) - 3*t(g).\nAnswer: -135*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - 2. Is u at most as big as -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 - 221330?\nAnswer: -221051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209527597 to the nearest integer?\nAnswer: 14475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(405) - (1 + sqrt(405))) + -4 + -4 - (-4 + sqrt(405) + -1 + -3)).\nAnswer: -9*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i = -1549 + 329 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -21. Suppose -w*g = -0 - 12. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -127, -1120, -3925, -9484, -18739?\n\"Answer: -157*j**3 + 36*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 7*r - 487. What is t(-24)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 9*w**2 + w + 4. Let q be z(-9). Let r(s) = 41 - s - 44 - 3. Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 2*n**2 - 2*n - 1. Let o be p(-1). Suppose w + 2*b = 4, o*w - b = -2*w - 13. What is the units digit of (-1)\/(w + (-51)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5040)*-2)\/(-1*sqrt(448) + (sqrt(252) - 1*sqrt(252))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 758 and 1218962161.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -4134, -5\/3, 0.5, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481625 to the power of 1\/2, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g. Let a(v) = -v**2 + 45*v - 320. Let t be a(36). Let x(s) = -8*s. Calculate t*m(u) + 3*x(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19551 from 2.1.\nAnswer: -19548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 50. Suppose g + 4 = i. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (26 + (0 - -3)). Let o be ((-10)\/25)\/(3\/f). Let t(x) = 3*x**2 + x**3 - 5*x**2 - o*x - 6 + 5. Give t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18755444317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/58? (a) -0.09 (b) -0.3 (c) 2.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*s + 2*s - 69 = 0, 2*s = 0. Suppose -18*r - 5535 = -n*r - 5*a, 1117 = r - 4*a. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718030997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 270*l - 98403. What is h(367)?\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 11*u**2 - 13*u + 2. Is f(-11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4446843 and 1353387?\nAnswer: 31127901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/44281 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*20\/((-80)\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-6))\/((-2)\/(-4)). Let c be ((-7)\/3)\/((40\/12)\/(-10)). Let q(l) = -1 + 4 + 2*l - 3 + c. Calculate q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1503352434?\nAnswer: 1503352432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 14*p = -380. Sort -3, p, -5, 1, 5.\nAnswer: p, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2483 (base 9) to base 16\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -488, -490, -492, -494?\n\"Answer: -2*p - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6829, 6949, 7151, 7435, 7801, 8249, 8779?\n\"Answer: 41*j**2 - 3*j + 6791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -138*d**2 - 21490*d - 15504. What is v(-155)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57133, 57137, 57141, 57145, 57149?\n\"Answer: 4*w + 57129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -24. Let q = 29317\/105 + -1947\/7. Let x = 2\/5 - q. Which is the biggest value? (a) x (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 10 - (7 - 3)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3018?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 15, -340 = -g - 4*g + 3*l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 37*z + 11 - 85*z + 42*z. What is the remainder when l(-4) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.9013 times -4\nAnswer: -23.6052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 0.03, -15617, -6 in decreasing order.\nAnswer: 0.03, -1.4, -6, -15617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-450)\/165*2\/(-12) + (-7)\/7.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -41. Let i(l) = -16*l**2 + 10*l - 2*l + r + 5*l + 3*l. Let d(a) = -a**2 - 1. Let c(x) = 6*d(x) + i(x). What is the second derivative of c(h) wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-4)\/16. Let c be -1 + (12\/1)\/4. Suppose 6 = 4*s + 2. What is the smallest value in j, s, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28227.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*m = 40, -j + 11*m + 14 = 9*m. Let d(s) = -s**3 - 7*s**2 - 7*s. Let v be d(-6). Solve 10 = -5*x - 0*c + 3*c, -3*x - j*c = v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501 is divided by 385.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - z**2 + 2*z + 3. Calculate q(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2103 or 2084?\nAnswer: 2084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.7 + -7. Let k = m - 12.69999603. What is k rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -1.1. Let c = l - -0.6. Let s = -0.799991 - c. What is s rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41580 and 792?\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x*x*x*x\/(((x\/x**7)\/x*x)\/x))\/(x**7\/x*x)**(-4\/3) assuming x is positive.\nAnswer: x**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from upzzzzuzzupuqzz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 163686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 595 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/69*(-273)\/(-65).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -90. Does 18 divide (-12)\/66 + ((-5856)\/(-22) - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11298*x*z**2 - 3*x*z - 2*x + z**2 + 4*z - 3941103 wrt z.\nAnswer: -22596*x*z - 3*x + 2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**(3\/2))**(7\/4)*(k**11*(k\/((k**(-2\/5)\/k)\/k*k*k*k))\/k)**2 assuming k is positive.\nAnswer: k**(797\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + -1 + 9 - (104 - 100).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6878 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16178.82 - -16179. Is j less than -5\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73288299 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174087 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -13, 7, -2\/5, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let j = 340 + -342. Is (7 + p)\/(j\/(-202)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471 divided by 3.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9829733 from 0.13.\nAnswer: -9829732.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g**3 - 12*g + 1. Let a(l) = 7*l**3 - 3*l. What is 9*a(h) - 2*n(h)?\nAnswer: 5*h**3 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u + 2. Let d be b(0). Suppose -4*a = -i - 3, -4*a + 4*i = -d*a + 16. Factor 2\/5*g**5 + 4\/5*g**4 - 4\/5*g**a - 2\/5*g + 0 + 0*g**3.\nAnswer: 2*g*(g - 1)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 7. Let o be g(-9). Solve 4*h - o = -2*j - 10, -2*h + 20 = -5*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*s**3 - 9252*m**2*s*v**2 - m**2*s*v + 25*m*s**3 - 128*m*s**2*v**2 - 6*m*s*v**2 - 2*s**3*v**2 wrt m.\nAnswer: 4*s**3 - 18504*s*v**2 - 2*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -23 - 808\/(-24) - 1*5. Which is the closest to 2\/5? (a) 1\/16 (b) -0.1 (c) n (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211422241 - 3?\nAnswer: 1211422233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5724154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w**3 + 6*w**2 - 182*w + 184. What is y(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -63\/10 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviivvopfiivpvivivv. What is prob of picking 1 v and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -26*a - 1392. Determine y(-54).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*n - 6*f**3 - 14*f**2*n + 284*n - 1 wrt f?\nAnswer: -3*f**2*n - 18*f**2 - 28*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2522120539 rounded to the nearest one hundred thousand?\nAnswer: -2522100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -0.5. What is the closest to h in -5, 1\/8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1954876 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10493*w + 16349*w - 17521*w.\nAnswer: -11665*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 6. Let a be 0\/(h - 3\/(-1)). Suppose a = -8*l + 5*l. Solve -z - 2*z = j - 1, l = -2*z + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*a + 917*a - 1664*a + 11008 = 1352*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9051854.\nAnswer: 2, 7, 17, 73, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17184, -132 in decreasing order.\nAnswer: 4, -132, -17184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1683 divided by 866.\nAnswer: -1683\/866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 25 = -353. Calculate the remainder when 237 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 30*j - 63. Let x(v) be the third derivative of 5*v**2 - 1\/12*v**5 - 10\/3*v**j - 5\/6*v**4 + 0 + 0*v. Factor x(p).\nAnswer: -5*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 753758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 1, x: 2, g: 14, i: 1}. Give prob of picking 2 e, 1 x, and 1 i.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2020222 (base 4) to base 13\nAnswer: 3c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 26 - 17)*(5*u**3 - 2*u**3 - u**3) to x*u + y*u**2 + i + t*u**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 + 476686*m**2\/5 - 3813561*m\/5 - 4290246\/5 = 0 for m.\nAnswer: -476694, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 9*g - 2. Suppose 2*h = 10*h - 72. Calculate the remainder when x(6) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrrqrrqo. What is prob of sequence rr?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 3*p = 12, 5*p = -10. Suppose k*g - 21 = -g. Let j be (g - 11)\/((-4)\/3). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from dvmzvfzu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -622 - -628. Let p be 6\/15 + (-44)\/10. Is p\/q + (-1473)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 42504006726.\nAnswer: 42504006726.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(170)*-2)\/(sqrt(40)\/((sqrt(80) - sqrt(20))\/sqrt(5))))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0.1. Put t, 1, 2\/13, -4 in decreasing order.\nAnswer: 1, 2\/13, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 193 - 145 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*f = 37, -33 + 5 = -4*l - 4*f. Suppose 5*y - 3*y = 4. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o + 2610 = -162*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 29*a + 72. Determine g(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54754834 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1046, 2092, 3138?\n\"Answer: 1046*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22535 + 24095. Calculate the greatest common factor of 160 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 10. Let k be -5 + (3 + -3)\/4. What is the units digit of b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379328142?\nAnswer: 2, 3, 167, 378571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 + -300. Let x = 225 + m. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4 = -5*z, -2*z - 16 = 290*n - 576*n + 282*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -165\/8*d**2 + 87 - 27\/16*d**4 + 87\/4*d**3 + 27\/4*d. Factor q(j).\nAnswer: -3*(j - 9)*(3*j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = 128*q - 129*q, 2*q - 8 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, f: 2, c: 2}. Give prob of sequence sfc.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89530 and 313355.\nAnswer: 626710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-15)\/((-7200)\/(-24)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-21)\/6 + 3). Let u(x) = -138*x + 40. What is the hundreds digit of u(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 14*o - 7. What is the units digit of n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 227*z**2 + 2*z - 2. List the prime factors of w(1).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -140, -315, -560, -875?\n\"Answer: -35*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 12:11 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33320131 + -23?\nAnswer: 33320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*h + 6*h - 54, -2*h - 2*y = -22. Solve -h*i**3 + 8*i**3 + 3*i**3 + 2*i**5 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 276662.8934 to the nearest one hundred.\nAnswer: 276700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -366, -367, -368, -369, -370, -371?\n\"Answer: -d - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:05 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2*p - 10. Let f be i(3). Suppose 4*m = -3*h + f*m + 108, 108 = 3*h + 4*m. What is the greatest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 277*g + 1038. Calculate u(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-33))\/(18\/(-3654)*(-4)\/(-36)). Is q < 444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 79 + 323*p**2 + 153 - 74.\nAnswer: 323*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1446, 1448, 1450, 1452, 1454?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 11*b**2 + 10*b + 25. Let y be h(12). Let f be 12*(y\/(-2) + 11\/66). What is the tens digit of (f\/1)\/(8\/(-6)) + 88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6847, -7066, -7285?\nAnswer: -7504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 677\/5 or 135?\nAnswer: 677\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) -1\/4 (c) 533\/253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3186581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 105 = l*q - 253. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.64940755 rounded to two dps?\nAnswer: 9.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 6*c**3 + c**2\/2 + 2226*c. Let x(q) = -33*q. Determine y(x(o)).\nAnswer: -1188*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-598)\/(-138))\/((-5797)\/594 - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7310507 is divided by 3655244.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 41*f - 11. Let v(p) = -4*p**2 + 49*p + 13. Let b(w) = 6*k(w) + 5*v(w). Let r(d) = -d**2 - d. Give b(a) - 3*r(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/484 and 34\/7623?\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4663, -37347, -126057, -298807, -583611, -1008483?\n\"Answer: -4669*b**3 + b**2 - 4*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/2)\/((-38)\/(-133)). Let r(o) = -5*o - o + q*o. Let k(c) = c**2 - 6*c - 1. Suppose 38 = 5*u + 13. What is u*r(j) + k(j)?\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 - -1193. Is l a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*l**5 - l**4 + 95*l**2?\nAnswer: -8880*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 0.163 (c) 1 (d) 0.2 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 36. Let z be t(-11). Suppose -3*n + 5*s - 21 = 1, -6 = -3*s. Sort -6, z, n.\nAnswer: -6, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 17, d: 3}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-810)\/(-35) + 4\/(-28). Let b be 72\/u*((-56)\/(-6) + 0). What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -825795 divided by -275265?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 1. Suppose -5*s + 7 = 2. Let q(j) = -28*j + 18. Let f(a) = s*q(a) - 5*c(a). Find the first derivative of f(b) wrt b.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244806370 + -0.2.\nAnswer: 244806369.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25111 (base 7) in base 4?\nAnswer: -1212232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(4)*5 - sqrt(9))\/(sqrt(3) - 4*(sqrt(3) - sqrt(18)\/sqrt(6))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 785.4796 litres?\nAnswer: 785479.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-20*n**5 - 2*n**3 + 18*n**5 + n**3).\nAnswer: 4*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1744014471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5615861715 and -247?\nAnswer: 5615861962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 3\/7 (c) 4 (d) 0.02 (e) -28 (f) -34 (g) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808*d**2 + 33*d - 35*d - 72*d**2.\nAnswer: -1880*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75843*f**5 + 1943775*f**4 + 9143958*f**3 + 11817288*f**2 - 6729984*f - 16250880 = 0. Calculate f.\nAnswer: -20, -368\/159, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 448 = -8*b, -21*b - 228 = -25*b + 2*f. Calculate the remainder when 2389 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:39 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4195, -1040, -6277, -11516, -16757, -22000, -27245?\n\"Answer: -y**2 - 5232*y + 9428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*l = 3*v - 10, 4*v - 6 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z. Let m(l) be the third derivative of 19*l**6\/60 - l**5\/15 - l**4\/6 - 833*l**2 - 2. Calculate m(v) + 4*r(v).\nAnswer: 38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(185\/(13320\/432)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43279\/9 - -4809. What is g in 2\/3*g**4 + 0 + m*g + 10\/9*g**2 + 14\/9*g**3 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -113.\nAnswer: 4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, t: 4, u: 1}. Give prob of picking 1 t and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2900*p - 325 = -2875*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*t + 126, 68*t = -246*z + 244*z + 268 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32874 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -1 (b) -0.1 (c) -6\/25 (d) -3\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.049, -1\/3, -7, 3, -110\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/m**(-1\/7))))**(1\/6)\/(m*m**(1\/10))**(2\/85) assuming m is positive.\nAnswer: m**(1971\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5624270 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3572, -248, -4 in decreasing order.\nAnswer: -4, -248, -3572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 23 + 75 = 0. Let o = j - -22. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7743203 to the nearest integer?\nAnswer: 2783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36680 divided by 1310?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 115*y**2 + 330*y - 216 = 0. Calculate y.\nAnswer: -12, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2 + 17*o + 4. Let j(x) = 20*x**2 + 34*x + 9. Give 9*b(u) - 4*j(u).\nAnswer: 10*u**2 + 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 19*x**4\/8 + x**3\/6 + 243*x**2. Differentiate j(d) with respect to d.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2761784228 + 4.61.\nAnswer: -2761784223.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 7 + -4 - -84590. Round i to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 4. Let b(y) = y**2 - 17*y + 22. Let v be b(13). Let t be 10*(-4)\/v*6. What is p(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-20)*f)\/(f\/(f*f**(2\/9))))\/((f\/f**11)\/(f**(-10\/7)*f)) assuming f is positive.\nAnswer: f**(-580\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3) - 2 - 96\/171. What is the smallest value in d, 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from sjjssjr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-350)\/5 - (4 - 0). Let g = p - -133. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9043280*d**4*u + 4071*d*u - d + 2*u - 695 wrt d.\nAnswer: -108519360*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 6*t**2 + 0*t**2 + (2*t - 1 + 1)*(-t + 0*t - t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13181929.\nAnswer: 829, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -469*o**2. Let t(s) = 41*s - 2. Calculate t(m(l)).\nAnswer: -19229*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168439536 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783567823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49, -40, -31, -22, -13?\n\"Answer: 9*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 914, 764, 438, -64, -742, -1596, -2626?\nAnswer: -3832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-156)\/130)\/(6\/(-55)). Let i = 1 - 1. Solve a = -3*f - 11, 3*a + i*f - 2*f = -q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67356 by 4.\nAnswer: 16839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = -11. Let g(u) be the second derivative of -u - 1\/3*u**t + 0 + 4*u**2. Differentiate g(n) with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udap when four letters picked without replacement from {d: 1, a: 2, u: 1, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -22*f**3\/3 + 193*f**2\/2 + 140*f. Find the first derivative of q(t) wrt t.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*p**6 + 8*p**5 - 1693*p**3 - 166*p**2 - 26*p + 92.\nAnswer: 8760*p**3 + 480*p**2 - 10158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/120 - d**3 - 7*d**2. Let l(u) be the first derivative of m(u). Let f(a) = 2*a**2. Determine f(l(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -32 - 9*i - 24 + 8 - 24. Let p be q(-8). Solve p*v + 20 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-50))\/((-1)\/(-10)). Suppose c*k - 6*k = 498. Suppose -82*s = -k*s + 3. Solve s*f = 2*y + 6, 0*f - y = f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 27*l - 322. Determine h(22).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10944 and -37\/35553408.\nAnswer: 106660224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2417633 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1115961 by -33.\nAnswer: -33817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*43\/(-30702)*1\/((-2)\/4).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, u: 1}. Give prob of picking 1 n and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2370092 by -2.\nAnswer: -1185046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -109 + 1 + (0 - 0) + 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.184 * 1\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (1 + -1 - -18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*k + 420. Let z = -38 - k. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*w + 81. Suppose 0 = -2*o - 3*m + 89 + w, m + 82 = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/6 - 5 - -10. Solve 3*o = -6*z + 2*z + 15, -x = 4*o - 4*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 64. Suppose k*l = -15 + 5. Let x = 1.59 - 1.5. Which is the third biggest value? (a) 1 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 6. Let p(t) = -8*t - 8. Let s be p(-4). Let v = 16 - s. What are the prime factors of i(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 16*u**2 + 39*u - 218. Calculate v(8).\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24 - 1)\/(17 - 16). Let d(z) = 7*z + 12 - 12 - c*z. Let y(s) = 2*s**2. Calculate y(d(n)).\nAnswer: 512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.28 + 14.38. What is the nearest to 0.1 in -0.4, 0.2, m, -3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1050, 2124, 3188, 4236, 5262, 6260?\n\"Answer: -d**3 + d**2 + 1078*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let h be k(3). Let g = 5 + h. Suppose -4*q + g = -8. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41015 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 6?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3065, 6166, 9265, 12362, 15457?\n\"Answer: -h**2 + 3104*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t + 174 - 1509 - 93 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/199, -1\/3, -486\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and 198\/28 - 21\/(-21).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862.550581 rounded to zero dps?\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407 or 3656\/9?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*b + 968 = n, n = -b + 232. Which is greater: 240 or n?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11361568 (base 9) to base 16\nAnswer: -5469d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 224 + 671. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 5 (c) 113 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -207262*n + 166. Let d be p(-7). What is d rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 9*k**2 - 4 + 3*k - k**2 in the form v*k**2 + p*k + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5358621, -10717242, -16075863, -21434484, -26793105, -32151726?\nAnswer: -37510347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*j + 24 = 0. Let g(v) = 103*v - 100*v + 0 - 2. Let d(t) = -7*t. Let c(h) = -21*h + 1. Let m(x) = 4*c(x) - 11*d(x). Calculate j*m(l) + 9*g(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8823884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/532 and (564\/54)\/1*(-6)\/14 - -1.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11985 and -0.87.\nAnswer: 10426.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0.0946?\nAnswer: 4.0946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -38*k + 74*k - 38*k + 31, -3*k = -9*y - 42 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-2\/7)*x))**(-20)*(x\/(x*x\/((x**9\/x)\/x)))\/(x*x*x**4*x*x) assuming x is positive.\nAnswer: x**(-194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 + 108*o + 16. Give f(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - i - 19, -2*x - 3*i + 0*i = -13. Suppose x*o - 200 = -5*k, k - 3*k - 5*o = -68. What is the common denominator of 43\/22 and 1\/(-24)*2222\/k?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, s: 3, p: 3, f: 1, q: 2}. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 + 0 = 0. Suppose 38 - 11 = t*v. Solve -3*m = 3*w + v, -4*m - 3*w - 1 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.008 millilitres in litres?\nAnswer: 0.339008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*z + 0*z + 6)*(-3*z**3 - 2*z**3 + 3*z**3).\nAnswer: -6*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 7506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 74665541.\nAnswer: -5\/74665541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i - 79*i**2 - 2*i**3 + 11 + 50*i**2 + 46*i**2. Let w be a(9). Let l be (-1)\/3*0\/(-4). Solve l = -w*p - 2*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75779237 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425706896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Is 111\/(-9)*-3 + l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a factor of 15351815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 3*j - 3*g - 16 = -4. Suppose 3*m - 3*o - 6 = 0, -j*m + o = -2*m - 7. Suppose 13 = m*a - 27. What is the remainder when 31 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = y - 1, 2 = 5*y - 4*u. Suppose y*c = -2*c + 3356. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*t = -1846, 4*j - 5*t - 862 = 180. Solve -91*l - 369 - j = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**3 - 9*m**2 - 80*m - 135. Determine a(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 188003 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13110?\nAnswer: -13101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/13462064 and 45\/1223824?\nAnswer: 13462064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:29 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.502 * 0.3\nAnswer: 0.1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-67)\/(-8) + (-24)\/64. Let x = b - -35. Calculate the greatest common factor of x and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*l**4 + 3\/5*l**2 + 9\/5*l**3 + 0 + 0*l + 3\/5*l**5.\nAnswer: 3*l**2*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 + 16*o**3\/3 + 8*o**2 + 34*o + 51. Let a be c(17). Is a greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18*l + 6. Let b(v) = -6*v + 2. Let p(u) = -7*b(u) + 2*x(u). Let j be p(-9). Let y = j - -125. What is the highest common factor of 46 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37507 is divided by 226?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 149 = -1. Suppose -5*t = -u - 154, -2*t - 53 - 73 = u. Let o = u - -144. What is the greatest common factor of f and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 19*o - 19*o - 60. Sort 2, o, -14, 1, 4 in descending order.\nAnswer: 4, 2, 1, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let k be (j\/27)\/((-10)\/12). What is the smallest value in -2, k, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k + z = 339, 4*k = z + 341. Let a = -421\/5 + k. Factor 0 - a*q - 2\/5*q**2.\nAnswer: -2*q*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + 3 + (-5 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12777*t + 140550. Give y(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:21 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 44*w - 39. Calculate z(22).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -2, -435, -3 in decreasing order.\nAnswer: 0, -2, -3, -4, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 + -0.44. Let s = -3 + 2.7. Which is the closest to 2\/3? (a) s (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -17.031624?\nAnswer: 22.031624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22994 + 299162\/13. Which is bigger: m or 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 1553*m + 60804. Determine h(344).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451005, 3608050, 12177163, 28864374, 56375713, 97417210?\nAnswer: 154694895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(0 + 2 - 3)*(-1 + 2 + 0)*(-5119*y - 58*y**2 + 5119*y) as k*y**2 + v*y + f and give k.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlppplppcmpcmpmpm. What is prob of sequence cmp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 251 + 48\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:57 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 9 = 19*z. Solve 24 = z*r + 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + 2*y**2 - y**2 + (-1 + 1 - y)*(2 - y - 2))*(-8*y**2 + 15*y**2 - 25*y**2) to the form a*y + f*y**2 + m*y**3 + z + t*y**4 and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 12 = 0. Suppose 5*d = -5*p + 14 + 16, -f*d + 12 = 0. What is the third derivative of -p*y**2 - y**5 + 5*y**2 + 0*y**2 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a - a - 3*a**2 - 5*a**2.\nAnswer: -8*a**2 - 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44218611?\nAnswer: 3, 1483, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 8. Let d be (-1)\/(6\/(-51) - (-11)\/85). Let u = d + 85. Calculate the remainder when i(u) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1544, -3087, -4630, -6173?\nAnswer: -7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47654, 47652, 47650, 47648?\n\"Answer: -2*d + 47656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4416 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:06 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -81307?\nAnswer: 81305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15339 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -517 + 517 + 19*f as r + j*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 5*l - 5. Is 45 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102303683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29377 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxiiixxxxiix. What is prob of picking 2 i and 2 x?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000775973 rounded to 6 dps?\nAnswer: 0.000776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12385, -43757, -96043, -169243, -263357, -378385, -514327?\n\"Answer: -10457*h**2 - h - 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.835562 nanograms to kilograms.\nAnswer: 0.000000000006835562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) -0.9 (b) -4 (c) -2 (d) 1 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeerreezreeeerrer?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1 + 12 + -3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.494 + -110.574. Suppose 3*g = -2*z + 19, -4*z - 5*g + 33 = -0*z. Which is the closest to 0? (a) z (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-60))\/(2\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162288 is divided by 2576.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 9, -3\/5, 22295, -1\/5, 0, -1.6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -88?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76, -77, -78, -79, -80?\n\"Answer: -n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 15*s - 9. Let y be u(14). Let m(w) = -w**3 + w - 7*w + 2*w**3 - 7 - 3*w**2. What is the tens digit of m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 18*p**2 + 5*p - 12. Is a(-17) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in -0.2, -2\/17, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.10000125 + 8.1. Round l to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 1. Let o(a) = -5*a - 24. Let f be o(-5). Give d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 16768.\nAnswer: -18444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/4)\/((39\/(-52))\/(-3)). Solve 3*x + 3*b = -13 - 8, n*x - 4*b + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/3 - 3800*z\/3 - 3610000\/3 = 0?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5854*j. Let m(g) = -30434*g**2. Give l(m(k)).\nAnswer: -178160636*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-3) + 2\/(-6). Let q be 5\/((-3)\/((-9)\/3)). Let p = 7 - q. Solve p*c = 3 - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-1)*(-9*13)\/(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7583\/4 - 1885. Is y bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(152) - (sqrt(152) - (sqrt(152) - sqrt(152)*4*4) - sqrt(152)))\/(sqrt(288)*5))*-2 + 3)**2.\nAnswer: -28*sqrt(19)\/5 + 5749\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0156099 kilograms in nanograms?\nAnswer: 15609900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.3 (b) 0 (c) 0.07 (d) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**6\/120 + f**5\/15 - f**4\/8 + 95*f**2\/2 - 2*f - 53. Let d(c) be the first derivative of l(c). Factor d(g).\nAnswer: -g*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*f = -126*f + 4. Suppose -f*v = m - 129, 62 = v + 2*m - 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*p - 5*p + 20, -3*b = -5*p - 15. Suppose 2*s = -b*s - 21. Suppose -4*r - j = 16, -2*r = -7*r - j - 20. Put s, r, 1 in decreasing order.\nAnswer: 1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 8 = -3*x. Let z = -23 + x. Differentiate -4 - 6 + 23*g**z + 3 wrt g.\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - 1.38. Let t = 2739\/4 + -685. What is the second smallest value in g, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28948, -57923, -86908, -115903, -144908?\nAnswer: -173923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.9467194 to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.6. Suppose 0 = -5*q + i - 3302, 1326 = -2*q - 2*i + 5*i. Let n be (-2)\/11 - (-100)\/q. Which is the third biggest value? (a) w (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1208*v - 643*v = -40*v + 224564 for v.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*d = -465, 2*u - 221 = -1404*d + 1399*d. Calculate the highest common factor of u and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = k, -4*k - m = -82 + 39. What is the lowest common multiple of k and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -1274, -2164, -3074, -4010, -4978, -5984, -7034?\nAnswer: -8134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -18, -4, 14, 36?\n\"Answer: 2*p**2 + 4*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1729053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**8))**(-1\/6)*v*v**1\/v*v\/(v**(-9)*v) assuming v is positive.\nAnswer: v**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = 1. Suppose 0 = -4*f - u - 12, 3*u - x = -2*f - 9. Is 3\/f - (-6 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 + 15*m + 4. Calculate the remainder when f(-7) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 4. Suppose 0 = -i*g - 5*f + 19 + 25, -2*g + 3*f = 0. Solve g = -0*b - 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 2*z + 6. Suppose -2*g = 5*l, 2*g = 3*l - l. Let o be s(l). Solve 4*h + 2 = -o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*w - 2*i - 58, -4*w = 2*i - 10. Solve -3*z = w + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30625.85437 - -30626. Let j = s - 0.143. What is j rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22479461819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {x: 2, w: 18}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 95. Give s(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 707127 + ((0 - 3) + -1 - -2). Let q = m - 85131. Suppose 3*k - q = -0*p + 2*p, 2*p + 621992 = 4*k. What is p rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/2 - 15*y**3\/2 - 36*y**2. Find the common denominator of h(-7) and 77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 721, 2901, 6535, 11623, 18165?\n\"Answer: 727*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71325 - -131330. List the prime factors of a.\nAnswer: 5, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - -9. Sort 0, -1, s in increasing order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.3 - -41.3618. Let z = s - 4.1718. Round z to 1 decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 8. Let j(z) be the third derivative of -z**4\/12 - 7*z**3\/6 + z**2. Calculate -7*j(u) - 6*s(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let n(r) = 8 + r - 8. Give d(n(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (-5)\/((-70)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**4 + 11*l**3 - 68*l**2 + 3*l. Let z(w) = -w**4 + w**3 + w**2 - w. Let g(k) = -y(k) - 3*z(k). Find the third derivative of g(s) wrt s.\nAnswer: -24*s - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 53*(-7)\/((-42)\/(-18)). Is c smaller than -158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50972 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 7. Let j = 0 + 0. Let n be f(j). Let k(x) = -x**3 + 24*x**2 + 26*x - 25. Let g be k(25). Solve b = 3*q - n - 6, g = 5*b + 4*q - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**5 + 19 + 0*q + 5\/2*q**2 + 5*q**3 + 15\/4*q**4. Let z(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21121.\nAnswer: 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842 not equal to 7842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -169, -170, -171?\n\"Answer: -c - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*114)\/((2*1\/11)\/(9750\/(-750750))).\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - -2.09. Let q = g + -4. Let y be ((-1)\/5)\/((-2)\/(-5)). Which is the closest to q? (a) -4 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 + 6*z - 2. Suppose w - 14 = 2*x + 2*x, -4*w = 5*x - 14. Determine v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 160*b - 921300000 = 0. Round b to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.49 - 0.41. Let r = 2 + o. Is 2\/5 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 1, 130, -1, -4, 0, 2 in descending order.\nAnswer: 130, 62, 2, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -806, -872, -948, -1040, -1154?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6698, 53526, 180606, 428060, 836010, 1444578, 2293886, 3424056?\nAnswer: 4875210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -43*v + 815. Let w be s(19). Let h(d) = -11*d - 15. Give h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*l - 10 = 0, 0 = -u - 25816*l + 25821*l - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j - 2 - 38*j + 57*j + 4*j + 76*j.\nAnswer: 90*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/10*44\/77*3240\/567\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 9. Let b = -3.9 + -0.1. Let h = b + u. Is h > -1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 - 7*n - 2. Let y(t) = t**3 - 3*t**2 - t - 2. Let x be y(3). Is 17 a factor of k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 278*j - 36. Calculate g(-2).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1516*n - 48399. Give j(-32).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53168?\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2264 + 2260.6. Put -3\/8, -2, b, -1\/2 in descending order.\nAnswer: -3\/8, -1\/2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 2. Let m be r(3). List the prime factors of m\/20 + (-1074)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1038, -1042, -1056, -1086, -1138, -1218, -1332, -1486?\n\"Answer: -p**3 + p**2 - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 7. Let f be j(-8). Let o = f - -4. Let a be 6\/(o\/2 + 3). Solve 2*w = w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 - w + 4. Let a = -5 - 8. Let o = -9 - a. Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 3)*-1 + 3. Suppose 3*t + t + t**2 + 3*t**a = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 + x + 5. Let h be n(5). Let t = h - -25. Calculate the greatest common factor of t and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*2*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -5\/4 (c) -3 (d) -2857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kkrkkkkkkrkkkkkrkkkk.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1140625226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001100000010010010 (base 2) to base 5.\nAnswer: 240112444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 2. Let g be c(1). What is the third biggest value in 28, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 - 5*a**2 + 20*a. Let j(g) = 21*g**3 + 9*g**2 - 39*g + 1. Let n(k) = 5*h(k) + 2*j(k). Is n(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159250597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.159.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m - m - 3 + 4*m. Let t(d) = -3*d + 4. Let w(p) = -4*q(p) - 3*t(p). Suppose -84*n - 115 = 279 - 58. Give w(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -5\/3, -2\/19, 0.1, 3, -2\/7 in descending order.\nAnswer: 100, 3, 0.1, -2\/19, -2\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 16*j - 14*j**3 - 5*j**3 - 8*j.\nAnswer: -19*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 12:41 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.4386?\nAnswer: -0.06579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/363 and 79\/1350030?\nAnswer: 14850330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 - 2741*u**3 - 2398162*u**2 - 670481280*u + 6230587392 = 0 for u.\nAnswer: -1278, -736, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18034 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 40\/(-15) - -4)*(-3 + 34458). What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(256) - (sqrt(256) + sqrt(256)*-1 - sqrt(256))) + -5.\nAnswer: -5 + sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -211*b + 851. What is the lowest common multiple of 1088 and r(4)?\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 196*q**2 - 638*q + 6. Let s be x(4). Solve 0 = -5*c + s - 590 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4977.3 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 5. Let n = 4 + w. Factor 1\/4*a**4 - 1\/4*a + 1\/4*a**n + 0 - 1\/4*a**2.\nAnswer: a*(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9 + 922*j - 920*j + 9. Let c(l) = 14*l**2 - 2*l. Calculate g(c(h)).\nAnswer: 28*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 231*l - 236*l - 25. Let v = -10 - -43. What is the remainder when v is divided by (-98)\/(-245) - 63\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2088, -2646, -3208, -3774, -4344?\nAnswer: -4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5451 (base 11) in base 8?\nAnswer: 16033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c + 1. Suppose 15*v - 130 = -145. What is d(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8760463 greater than or equal to -8760464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*q**2 + 2*q**2 + 1 - 1 to j + l*q**2 + x*q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -4\/5, 48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 17*u**2 + 13*u - 683. Let l be z(19). Which is greater: -1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420295741.\nAnswer: 420295741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931297 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33493585 to the power of 1\/2, to the nearest integer?\nAnswer: 5787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwrq when four letters picked without replacement from wqrrwqsuwiq.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4403844 is divided by 1650.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2457\/(-1638)*1\/(-6))\/(5\/(-940))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -26 - 14 + 59 - 17. Let f(o) = 2*o + 2 - 7 - 3*o. Calculate -2*f(k) - 5*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39964 <= 39963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4091835*p - 519345226.\nAnswer: 4091835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 + i**4\/2 + i**3\/2 + i. Let c = -358 + 353. Determine l(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/1784 + 2509\/446. Suppose 0 = -k + 3*k. Find the common denominator of a and 26\/16 + (k - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 657*a**2 - 976*a - 8. Determine b(2).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:30 AM?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 90 = -144. Find the third derivative of -6*a - f*a**2 + 14*a**5 + 6*a + 16*a**5 wrt a.\nAnswer: 1800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:18 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - (-1 + -1). Suppose 5*h = 2*h + 4*j + 44, n*j = 2*h - 28. Suppose 3*q = -0 + h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let s(w) = -2270*w + 121*w + 10 + 5 - 15. Is s(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.646 take away -2.8825?\nAnswer: 6.5285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -5\/2, -0.9, 0.09, 200, -8?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*v - 18 + 2, -5*w - v = -22. What is the highest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.109 and 24058933.\nAnswer: 24058933.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 86 = -2*q, 5875*q - 5883*q + 25 = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01273 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 65490?\nAnswer: 392940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from nnnnnnnnnnnnnntnttnn.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 12*n**2 - 16*n - 22. Let i be x(-13). Let a = i + -15. Solve -a*d + 5*q - 5 = 0, -4*q + 17 = 5*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/20 + 0)*4. Suppose -15 = -o*v, 32 = 4*g - 5*v - 95. What is the greatest common divisor of 95 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 62 + 80)*(-c + 2*c + c - 2 + 2 + 2*c + (3 - 3 + 2*c)*(-2 + 0 + 4) + c - 2*c + 0*c - 3 + 3 - c - c - 2*c + c).\nAnswer: 300*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n*n**(2\/11)*n)\/n)\/n*n)*n)\/n**1*(n**1)**34 assuming n is positive.\nAnswer: n**(361\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 470*x**2 - 10709*x - 2232. Give z(-446).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3500\/(-16))\/(-5)*4. Let n be q\/49 - 9\/(-21). Solve n*d + d + 16 = 4*y, 3*y - 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*x - 135*x + 17 = 9*c - 10*c, 0 = -3*x - 2*c + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2 - 2)*(-k - 3 + 3) - 3*k**2 - k**2 + k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 + 87. Let o = b + 101.8. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 16) to base 7\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away 0.00413?\nAnswer: 0.14587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3b303 + 9?\nAnswer: -c3b2e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/384 and -5\/8034864?\nAnswer: 64278912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 831, 1023, 1213, 1401, 1587, 1771?\n\"Answer: -k**2 + 195*k + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 87 = 8*p. Calculate the remainder when p is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/24 - f**3\/3 + 2*f**2. Let j be p(-4). Let t(s) = 24 - 14 - 11 + 4*s. Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 227*n + 674. Let y be h(3). Suppose 2*t - 4 = -0*t. Solve 3*k = -r - y, k = -5*r + t*k - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/10 + q**4\/4 - 2*q**3 + 23*q**2\/2 + 3959*q. Determine r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360.31 + -113.345. Let x = -247 + c. Round x to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 9. Let c(x) = 6*x. What is v(c(r))?\nAnswer: 144*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 16. Suppose -5*l + s + 5 = 0. Let f be ((-2)\/(-9) + (-8)\/36)\/2. Solve -l*t + 5 - 14 = f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*p**2 - 175*i**2*p + i*n*p + 27*i*p**2 + n*p**2 - 2*n*p wrt p.\nAnswer: -6*i**2 + 54*i + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 10*y + 76 = -5*k, -3*y = 8*k - 228. Calculate the remainder when 27510 is divided by y.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 69 = 126. Suppose -9 - p = -16*r. Solve -8*s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = 56*v + 45. Suppose 0 = i + 2*i - 18. Solve -v = i*a - 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 8}. Give prob of sequence nrr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -7*g**3\/6 - 103*g - 2. Let y(o) be the third derivative of o**5\/20 + 2*o**2. Determine q(y(s)).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxbx when four letters picked without replacement from xlxqblfblflbbl?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + (274 - 4) - (-3 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(384)\/sqrt(8))**2) + (3 + sqrt(3) + -3)**2.\nAnswer: -45 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = -12. Let s(g) = -g**2 - 9*g - 8. Is 10 a factor of s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.5, -2\/13, 10, 0.373?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4376 divided by 5?\nAnswer: -4376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 54. Let p be w(9). Solve -p = -y - 14*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21473*s + 4 + 2161*s - 4.\nAnswer: -19312*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**21 assuming t is positive.\nAnswer: t**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5136.558 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*z - 14*z - 7*z**2 - 10*z to the form p*z**2 + a*z + w and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:05 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8852060 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**2*s**3*t - 25*i**2*t + 895633*s**3*t + 191253*s**2*t wrt s?\nAnswer: 48*i**2*t + 5373798*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 - -88. Let p = f - -95. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4606261570 - -15\nAnswer: -4606261555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-16)*y**(-19) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175080181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -5. Let y = 0 + h. What is the second smallest value in y, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fourty-eight sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599, 782, 1043, 1382, 1799?\nAnswer: 2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-18 - -12 - -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-135))\/((-105)\/(-225)). What is the third smallest value in 0.0453, 4, -1\/6, w?\nAnswer: 0.0453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/79 + -209\/2844. Let f(x) be the second derivative of 0 + 0*x**2 - a*x**4 + x + 1\/18*x**3. Factor f(m).\nAnswer: -m*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7641*i - 62 - 13 + 7652*i. Let d be t(7). Factor -o**d - 2\/3 + 7\/3*o.\nAnswer: -(o - 2)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {w: 5, p: 8, z: 5}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1538 and 0.056.\nAnswer: -86.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034468634 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 2*p + 6, 3*c + 2 = 4*p. Let a(w) = w + 1. Let s be 85\/15 - (-12)\/(-18). Let n(j) = -2 - j + 0*j + 0*j. Give c*n(h) + s*a(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-220)\/15)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 2:45 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2310912 and 89\/1155456?\nAnswer: 2310912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - 217*t + 3969. Give d(23).\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-596)\/894 + (-6005806)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d**3 - 1508*d**2 + 1158*d + 332 = 0.\nAnswer: -2\/9, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from ztkz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/160 + 37*j**4\/96 + 61*j**3\/12 + 87*j**2\/4 + 2*j - 121. Let s(m) = 0. Calculate m.\nAnswer: -29, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -114*i + 8725. Determine a(58).\nAnswer: 2113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2855, -2919, -2983, -3047, -3111, -3175?\n\"Answer: -64*h - 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + 0)*-3 + (sqrt(2057) - 1*sqrt(2057)*-1))*-6 + -4)**2.\nAnswer: -528*sqrt(17) + 74068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 5*u)*(0 + 1 + 8*u - 3).\nAnswer: 16*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865 bigger than 3865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:04 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.156 and 8.\nAnswer: 137.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 559 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50\/9 - 151\/45. Calculate the common denominator of 41\/319 and b.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6670 and 83950.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -46. Suppose -4*y + 15 = -y. Let w be f\/(-70) - (-2)\/y. Which is the closest to w? (a) -4 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014855897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.061 + 8.1. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/84*14*6\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from aaaosasassasssssssa?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 11*i**2 - 1\/360*i**6 + 0*i + 0 - 5\/72*i**4 + 1\/9*i**3 + 1\/45*i**5. Suppose w(g) = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33967789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 567580.59?\nAnswer: -567583.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(11\/(-6)). Let v = 29 + -24. Let k(g) = g**3 - 5*g**2 - g + 4. Let u be k(v). Are y and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 83. Suppose -b*r = k - 157, 7*k - 2*k = 5*r - 215. Suppose -3*s + 11 = 2*u, -u - s + 2 = -5. What is the highest common factor of r and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171 or -862\/5?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2)**33*z**(2\/15)*z**(-4) assuming z is positive.\nAnswer: z**(1427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 44.\nAnswer: -19\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235665537.5 minus 5?\nAnswer: 235665532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 110. Let y be 2\/11 - p\/220. Which is the smallest value? (a) -5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/287661828 and -73\/4782102.\nAnswer: 3739603764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 + 6. Let n be g(5). Calculate the highest common divisor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)\/a)**(-42)\/(a**(-1\/5)*a**5) assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -18*y**5 + 30*y**4 + 59*y**3\/2 - 29*y**2 - 23*y\/2 - 1 = 0.\nAnswer: -1, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261316 is divided by 169?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 54 - 42 = 0, -31 = 402*g - 406*g + 3*s for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a**2 - 9*a + 6. Suppose -3*t = -21 + 3. Let p be t - 0\/2*(-4)\/(-8). Is w(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 - 12*l - 8. Let p be s(-9). Suppose f - 20 = -p. Let i = -0.1 + -0.9. What is the second smallest value in 2, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 189, 676, 1163?\n\"Answer: 487*t - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7212254974 to the nearest integer?\nAnswer: 84925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 + 5*w + 6. Let a = 16 + -10. Let p be q(a). Let u be -1*-2*(-12)\/(-8). Solve c - u*c + 6 = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/59, -2.1, -571\/6, -1?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose 0 = y - u*y. Differentiate 2 + y - 4 + 0 + 3*t with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 79?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -4, -1 in ascending order.\nAnswer: -18, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 74*g + 72. Let r be u(1). Solve -j - 5 = r, 5*t - 3*j = 10*t + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2. Let u(z) = 79336*z. Let j(n) = 215*n. Let p(i) = 1477*j(i) - 4*u(i). What is p(k(h))?\nAnswer: 422*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2 + (-5 - 1 + 5)*(4 - 2 + 0))*(432 + w + 2425 - 773).\nAnswer: -5*w - 10420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 430726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -224.6 * 4.\nAnswer: -898.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 1184755 = 240565. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (38 - 152 - -26) + 26\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12549?\nAnswer: 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169 times -284.6261?\nAnswer: -48.1018109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r**2 - 7299*r - 1786. Determine n(-608).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sehro. What is prob of picking 1 s, 1 h, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 - 10*t + 39. Let v(u) = 7*u**2 + 10*u - 41. Let h(l) = -5*v(l) - 6*x(l). What is the units digit of h(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 - 2*b**2 - 6*b**2)*(-b - 2 + 2) + 3*b**2 - 3*b**2 - 2*b**3)*(2*b - 2*b**2 - 2*b) - b**5 + 4*b**3 - 4*b**3.\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -68*r - 2. Let y(n) = -27*n - 1. What is 5*q(h) - 12*y(h)?\nAnswer: -16*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05070903 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48004 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-276)\/141 + 2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a century in months?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 12:43 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42962 is divided by 279.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o + 113. Let y be d(11). Let r be (-44 + -1)*y\/10. Calculate the highest common divisor of r and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28\/(-4)*(-2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*i = 160*i - 132. Let d be 2\/i + (-182)\/(-156) - 4. Let s(t) = 2*t + 5. Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1193345694 and 2979.\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40140644 (base 7) in base 4?\nAnswer: 30222301031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 2, 17, 38, 65?\n\"Answer: 3*u**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1339062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (0 - (0 + -3)). Solve -16 = -4*m + 4*p, m + 2*m = p + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36221 < -36219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 2*m + 2*m + (-2 + 4 - 1 + (3 - 3 - 2)*(0 - 1 + 2) - 3 + 0 + 4 - 5 + 1 + 2 - 3 - 2 + 3)*(231*m - 44430 + 44430).\nAnswer: -925*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41451, -83445, -125439?\nAnswer: -167433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 1. Calculate c(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2480?\nAnswer: 1\/2480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/11 at least 173\/1014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 759038.2 kilograms in milligrams?\nAnswer: 759038200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1496 = -2*f, 2*f = x - 4*x + 1516. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 66*f**2 - 718*f - 3338. Calculate w(-75).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37677 (base 9) to base 3.\nAnswer: 1021202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, 609, 1341, 2071, 2799, 3525?\nAnswer: 4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 5:14 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28420183*t**2 + 17583598 wrt t?\nAnswer: 56840366*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.323505 meters in centimeters?\nAnswer: 332.3505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o - 21. Let h(s) = 10*s - 4. Let y be h(0). Let m be d(y). Calculate the highest common factor of m and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -115*j + 117*j - 17227, -c + 3449 = 4*j. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let w(l) = -9*l**2 + 5*l. Let k(b) = -26*b**2 + 14*b. Let u(v) = -5*k(v) + 14*w(v). Calculate c(u(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - -4*(sqrt(171) + (sqrt(171) - 3*sqrt(171)))))\/(-4*sqrt(900))*3.\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 11*z**7\/840 - z**4\/8 - 5*z**3 - 12. Let y(j) be the third derivative of h(j). What is the derivative of y(a) wrt a?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65534028 a multiple of 662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.68837nm in millimeters?\nAnswer: 0.00001668837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 9:27 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -27. Solve 4*j = -o + 20, -3*o + j - v = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and -7137.\nAnswer: -7136.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/41719860 and 29\/19810?\nAnswer: 41719860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.756 - -0.656. Let b(r) = r - 1. Let m be b(-3). What is the third smallest value in u, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**4 - 3581543*w**3 + 101308179*w**2 + 2*w.\nAnswer: 96*w - 21489258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 7364?\nAnswer: 22092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h**3 + 0 + (899*h + 360*h - 190*h)*(5*h + 2*h**2 - 5*h).\nAnswer: 2137*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-1989)*(-7)\/((-7)\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 1 = 7*o. Suppose 0 = -l - i + 2, -o*l = -5*i - 4 - 0. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 107*u\/2 + 11449\/4.\nAnswer: (u - 107)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94922 + -60711. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*b + x, 132 - 122 = -5*b - 4*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -x - 69, 882*x - 7 = 887*x - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -40 + 8. Let q be 4*-10*(-2)\/k. Sort q, 18, -3, -4 in descending order.\nAnswer: 18, -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 129*r**2 + 265*r - 2132. Determine y(127).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32436450 (base 8) in base 5?\nAnswer: 3240244342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -464381*l**3*q + 4*l**2*q + 12028712*l*q wrt l?\nAnswer: -2786286*l*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/(-3*(-3*sqrt(11) - sqrt(11))))\/(-3*sqrt(1008)*-5))**2.\nAnswer: 1\/1555200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 1\/2, 0.2, -0.1, -2.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-270)*-15)\/(10\/(-55)))\/((-2)\/(-8))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 15. Suppose w*u = -2*j + 2, 0 = 3*u + 4*j - 5 - 5. Let c be 0\/(u - (-2 - -2)). Solve 4*v - 4 + 16 = c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/6 - 11*m. Let i(g) be the first derivative of 0*g + 1 + 0*g**2 + 5\/3*g**3. What is p(i(v))?\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-4) + 7\/(-14). Suppose 0 = -3*c + h - 11 - 1, y = -4*c + 4*h. Put 5, -4, c in increasing order.\nAnswer: c, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6482487 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2475709439?\nAnswer: 7, 17, 29, 401, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (-5 + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 prob of sequence ooy when three letters picked without replacement from yoyoyooyoy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + -6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11896637 to the power of 1\/2, to the nearest integer?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005908704 to 7 dps.\nAnswer: 0.0005909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276 is divided by 115.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 5*k - 3. Let l be h(6). Let n = l + 44. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n**2 - 612235 + 13*n + 612235)*((2*n + 0 + 0)*(-n - n + 0*n) + 3*n**2 - 3*n**2 - n**2) to the form u + w*n**3 + j*n + a*n**2 + v*n**4 and give w.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 8*x + 19. Is 13 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 5*d + 45*d**2 + 6*d.\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a + 2. Let l(z) = 6*z - 1. Let q be l(-1). Let o be p(q). Solve n = -4*w - 7, 5*w - 2*w + o*n = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 45 = 0. What is the units digit of (g - 7)\/((-4)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2. Let n(a) = -a. What is t(n(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -997.\nAnswer: 2\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1200 - 22799\/19. Sort q, 0.6, 1, 2\/11 in ascending order.\nAnswer: q, 2\/11, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*j - 38 + 13, -4*m - 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1\/6 (b) -0.7 (c) 1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from jtddjtjtj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.33 (b) 0.06 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*n - 118*n - 3*n + 2*n + 0*n - n + (-3*n + 5*n - 3*n)*(1 + 1 - 4))*(2 - 2 - n).\nAnswer: 73*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/2 - (-179 + 157). Solve 2*c - 2*a + 22 = w, -4*a + 32 = 3*c - 5*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1277 + -377. What is the tens digit of (h - (1 + 4)) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(21\/14)\/(5\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/l)**(-23\/2) assuming l is positive.\nAnswer: l**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 16764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -1, 3, 4, -426 in decreasing order.\nAnswer: 5, 4, 3, -1, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/((-899)\/174))\/((6\/32)\/(12\/(-12)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 3. Let t = -11 - -15. Suppose -g = g + t. Let i(q) = 2. Give g*x(h) + 3*i(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -25742104.9 to the nearest one thousand.\nAnswer: -25742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 150 - 43 = -x, 2*m = 2*x - 410. List the prime factors of x.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2070607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8865 - -5716. Let m = -25287\/8 - y. What is the common denominator of (218\/(-44) + 0)\/(-1) and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -1\/105*h**7 + 0*h**3 - 1\/15*h**4 + 3\/50*h**5 + 0*h**6 + 0 - 7*h + 0*h**2. Factor k(l).\nAnswer: -2*l**2*(l - 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030691222 rounded to seven dps?\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - (0 - (10 + 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 13. Let p(d) = d**2 + d - 4. Let b be p(-3). Put b, q, 0 in descending order.\nAnswer: b, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*s - 85. Let h(u) = -u**2 - 18*u + 17. Let m be h(s). Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q - 2*q**3 - 7*q**2 + 5*q**2 + 4*q. What are the prime factors of k(-7)?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77200 divided by -4.\nAnswer: -19300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*v + 23 - 63, 4*y - 3*v = -32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*i + 10 = -3*i, -5*r = -5*i + 10. Let x be (r\/(-10))\/(5\/(-10)). Which is greater: x or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**3 - 2*j + j**2 - 2*j + 3*j as d*j**2 + l + i*j + f*j**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let p(q) = -3*q**2 + 6*q**2 - 4*q**2 - 25*q**2. Determine p(j(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -29 + 23. Let a(c) = 2*c + 16. Suppose -8*p + 2*p = -1338. What is the remainder when p is divided by a(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115248 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + 2*z**2 + z. Suppose -g - 4*g - 15 = 0. Let s be y(g). Calculate the highest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 divided by 5?\nAnswer: 407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + (-1 + sqrt(288))*4 + sqrt(288))*-4 - (-2 + sqrt(288) + -3*(0 + sqrt(288)) + sqrt(288))**2)*4 + -1.\nAnswer: -1344*sqrt(2) - 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4290\/(-132) + 18\/(-12)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0.1 (c) 1\/8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31272023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 810*(-40)\/480*4\/(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 62*h + 1012 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 478*f + 304070. What is y(362)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, f: 5, k: 1}. What is prob of sequence zy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -430\/39, -2, -1\/4, 0.0335 in descending order.\nAnswer: 2\/7, 0.0335, -1\/4, -2, -430\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9857220?\nAnswer: 2, 3, 5, 41, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 17724*j + 26178348.\nAnswer: 3*(j + 2954)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlzqlmqqqmqqx. Give prob of picking 1 l, 2 m, and 1 z.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369 + -343. What is the remainder when 206 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/12)\/(1\/3). Let u(p) = -p**3 - 11*p**2 - p + 1. What is the remainder when u(-11) is divided by -1 - 20\/x - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*q - 12*q. Let p(n) = 10*n**2 - 6*n + 6. List the prime factors of p(q).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 221 = -12*a. Solve 2*y + 5*r = a, -2*r = 2*y - 5*r + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230191932 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -5, 2\/3, -1 in increasing order.\nAnswer: -14, -5, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(147)\/sqrt(3))\/(sqrt(14)\/(sqrt(10)\/sqrt(5))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 4*t - 16*t)*(3 - 2 + 1)*(-1 + 0 - 2).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 1048*n + 241816. Determine z(-343).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let b = d + -2. Suppose 5*s - 3*r = 155, -b*s - 3*s = -r - 155. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205.0391 + -0.0391. Let a = -115 + b. Let f = a - 86. What is the nearest to -2\/5 in -2, f, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/5 + 72*s**2\/5 - 356*s\/5 + 528\/5.\nAnswer: -4*(s - 11)*(s - 4)*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.23352cm in nanometers?\nAnswer: 402335200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and 0.316.\nAnswer: 1.2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000544757156 to seven dps.\nAnswer: 0.0000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0441003 take away 0.9?\nAnswer: -0.9441003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -77, -4.\nAnswer: -77, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96440 by -2.\nAnswer: -48220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44495183.\nAnswer: 44495183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 3*a + 5. Let i(s) be the third derivative of -s**5\/15 - s**4\/8 - s**3 + 18*s**2 - 3. Determine 5*i(p) + 6*x(p).\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*u - 2 + 82*u + 3 to the form k*u + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 8) to base 5\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + ((-15)\/3 - -3). Suppose b + q = 3*b. Suppose 0 = -0*x - b*x + 126. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-2)\/(7 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**(-2)\/y*y))))**(-2\/17)*(y**(-1\/2))**(1\/65) assuming y is positive.\nAnswer: y**(-797\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -34. Let k = -93.28 - -77. Let f = k - z. Round f to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.01 + -2.31. What is the third smallest value in c, -3, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233213659 to the nearest integer?\nAnswer: 15271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.5. Let m = -346 - -292. Let c = m + 61. Sort c, 3\/4, q in decreasing order.\nAnswer: c, 3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, 1\/7, 14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*x**3 - 47722*x**2 + 235*x + 205764782 wrt x.\nAnswer: -15*x**2 - 95444*x + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2. Let n(o) = o**2 - 11*o + 72. Let z(s) = s**2 - 11*s + 84. Let j(x) = 7*n(x) - 6*z(x). What is j(a(t))?\nAnswer: 36*t**4 + 66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 33.\nAnswer: 46\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + 9*h**2 + 24*h - 25. Let i be x(9). Let j = 2292 + i. What are the prime factors of j?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3*h - 257. What is the remainder when r(22) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -10 - (44 - (-9 - -46))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(99) - (sqrt(99)*2 - sqrt(99))))\/((sqrt(1296) - -3*sqrt(1296))*3 + sqrt(1296)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 569129542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*o - 275*o = -13338 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172bd7 - 8d?\nAnswer: -172c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -x + 33. Let l = x - 58. Let k = -29\/30 + 3\/10. Sort -2, l, k in descending order.\nAnswer: k, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(6)*-3*-2 + sqrt(6) - ((sqrt(288)\/sqrt(6))\/sqrt(8) + sqrt(6)))\/(-5*(4*sqrt(528))\/sqrt(11)))**2.\nAnswer: -383\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-4950))\/((-2)\/9). Let n = -7839\/550 + y. Let x = 102643 - 102658. Is x at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 2*a + 2*a + (-2*a - a + a)*(a + 2*a - 5*a))*(-3 + 3 - 2)*(-4*a - a - a).\nAnswer: 108*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(117) + 5*(sqrt(117) + 0 + sqrt(117)) + (sqrt(117) + 1 - sqrt(117))*5 + sqrt(117) + (sqrt(117)*-2 + sqrt(117))*4 + 1)**2.\nAnswer: 1680*sqrt(13) + 37685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -3b505b?\nAnswer: -3b5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 - 0.25. What is the third smallest value in -0.2, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 2. Let g = -0.54 - -0.14. Let v = 977\/6266 + -1\/482. What is the biggest value in s, g, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 16*r**2 + 12*r + 9. Let q(a) = -a**3 + 8*a**2 - 6*a - 5. Let z(f) = -5*q(f) - 3*v(f). Let d be z(7). Solve -3*o = -8*o - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5628.533 nanoseconds in seconds?\nAnswer: 0.000005628533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/32 and -67\/367412.\nAnswer: 2939296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/(4\/(-1)). Let u = 118 - 1300\/11. Sort -2, u, n in decreasing order.\nAnswer: n, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 907 - 934.088. Let k = -27.132 - -0.132. Let i = k - m. Round i to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 minus -0.077?\nAnswer: 577.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8981 + -1182. Does h = 7798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -745 or -746?\nAnswer: -746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217140 and 490?\nAnswer: 1519980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 667, 1321, 1937, 2497, 2983, 3377, 3661?\n\"Answer: -3*q**3 - q**2 + 678*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292\/33 + 26\/3. Let j = -190 + 169. Let z = j - -24. What is the third smallest value in z, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 1425*n - 1426*n - 36.\nAnswer: -n + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (28 - 16) - 28\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 5*s - 2*s)*(s - 2*s - s) - 5*s - 2*s**2 + 5*s - 694*s**2 + 554*s**2 - 3 + 631*s**2 to o*s + x*s**2 + c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 - 4*u + 1. Give j(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-143) + 57\/11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/605704 and 119\/82596?\nAnswer: 1817112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2140 - -207577\/6420. Let f = -33 + l. Is -1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122848 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31b9b6 - 1?\nAnswer: 31b9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2059 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15 - 20891\/(-429)) + -34)*(-7)\/((-105)\/(-72))?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -407, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 8. Suppose 47 + n = 11*a. Let b be -2 + 6 - (3 - 1). Sort b, a, 4, 11.\nAnswer: b, 4, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 - 8 = -3*v, -5*m - 2*v = -44. Let i = 21 - m. Suppose 0 = -5*u + 2*t + 10, i = 5*u - 3*t - 2. Solve -4*j + 3 + 5 = u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669014291?\nAnswer: 3, 7, 283, 280837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*d - 68 + 68 - 3*d as a + c*d and give c.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - -5 - (83 - 82)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 190*f**2 - 7*f + 719. What is d(95)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrkwrkkldrd. Give prob of picking 1 w and 2 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -427 and -0.13.\nAnswer: -427.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000102295 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 12, 136, 392, 828, 1492?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**3\/5 - 28*i**2\/5 + 16*i\/5.\nAnswer: -4*i*(i + 4)*(2*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*v. Suppose 53*h = -0*h - 81*h - 134. Sort h, v, 0.08.\nAnswer: h, 0.08, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, v: 2, l: 4, r: 1, e: 1, p: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178746*i**4 - 69612 with respect to i.\nAnswer: 714984*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 2 + 21*g**3 + 47*g**2 + 0 - 4 - 46*g**2 to the form a*g**3 + w*g**4 + f + c*g**2 + n*g and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**2 - 9*u**2 + 31*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-38864)\/(-24))\/(-7)*3*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420244082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -19 + -1 + 40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*b = 3*b - 35, 5*k - 3*b = 35. Let f(c) = 2*c**2 + 5*c + 1. What is the lowest common multiple of f(-3) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188193 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(r**3 - 4*r**3 + 2*r**3)*(0*r**2 - 4*r**2 + 2*r**2).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 78*s**2 + 79*s - 202. Determine h(38).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2584 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 673\/232 - 8\/29. Let v = 171\/56 - k. Which is the nearest to -1\/3? (a) -0.3 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**9\/60480 + n**6\/240 + n**5\/60 + n**2. Let z(k) be the third derivative of r(k). Differentiate z(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixiixexx. Give prob of sequence ix.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/10 - (-20)\/(-50)*1. Solve -8 = t*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + r. Let o(k) = -3 + 3*k**2 + 7 - 4*k + 4*k**2. Let g be o(r). Solve 2*d - 3*j = -15, -4*j - 4 + g = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**4 + 2*o**3 - 13*o**2 - 2*o + 2. Let l(d) = d**3 - d + 1. Let h(b) = -2*l(b) + r(b). Find the third derivative of h(j) wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031.84313 to 0 dps.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 != -14650475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208606913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 73 + 5 = -4*c, 4*c + 84 = 4*d. Let q(k) = k**3 + 19*k**2 + 20*k + 35. Determine q(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + z - 55 = 0, -9 = -j + 5*z - 3*z. Let r = 3 + j. Solve -4*x + 5*f + r = x, 2*x - 23 = 5*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6733.\nAnswer: 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2)*(-4)\/((-4)\/2). Is -2 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357, -10893, -36775, -87175, -170265, -294217, -467203, -697395?\nAnswer: -992965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1220.3 * 0.3.\nAnswer: 366.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q + 3 = 0. Suppose -q*x + 87 = -x - 3*o, -2*o + 170 = 5*x. Suppose 4*a = 3*b + b - x, 2*b + 3 = -a. Sort -3, 1, a.\nAnswer: a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-7)*(-38)\/(-513).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 13. What is the tens digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(100)\/(sqrt(50)\/sqrt(5)))*-2)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -6*sqrt(396)*-2 + 4).\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a decade in months?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-8) + (-86)\/(-688). Which is bigger: -90 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -267 + 28 + 12*d + 61 + 1 + 57 in the form j*d + g and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0 + -5?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-57) - (-2144)\/80*25\/30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 14*o**2 - 6*o + 22. Suppose -5*s = -4*t + 15 + 32, 3*s = -3*t + 42. Let q be f(t). Let g = 12 - q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 10*c + 16. Let p be l(-9). What is the derivative of -14*g - p*g - 6*g - 17*g + 23 wrt g?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -9)\/(6*(-4)\/(-144)). Let g be (s\/(-21))\/3 - 2\/14. Let p(a) = 5 + 5*a - 8*a - 1 - 1. Let t(r) = -r. Give g*p(z) + t(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 41447.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19949, 20007, 20065, 20123?\n\"Answer: 58*v + 19891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17510341, -17510342, -17510343, -17510344, -17510345?\nAnswer: -17510346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 13. Let k(d) = d**3 + 5*d**2 + 4*d + 5. Let g be k(h). What is the third derivative of -3*a**5 - 2*a**5 + 2*a**g + 2*a**5 + 2*a**2 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24112042 - 10?\nAnswer: 24112032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -2\/5, -1, -2\/3, 2, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -39 - (722 - 763) - (-11 - 0).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2078 + (-1 - (-36)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 + 7*w**2 - 17*w + 4. Let o(t) = 9*t**3 + 22*t**2 - 59*t + 13. Let d(h) = 2*o(h) - 7*p(h). What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**3 - 2*w**2 - w + 30. Let g = 21039 + -21039. Give v(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9557.1 + 9557. Sort 20, -1, 0.5, z.\nAnswer: -1, z, 0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104191?\nAnswer: 31, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - 44. Let w = u + 58.6. What is the nearest to 0 in w, 1\/2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200071 is divided by 265.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(234\/4) + 58\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76830013 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 2\/3*q - 2 - 2\/3*q**3.\nAnswer: -2*(q - 3)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5*s + 4*n**3*s + 54*n**3 + 200*n**2*s wrt n.\nAnswer: -120*n**2*s + 24*s + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g + 3*g - 3*g)*(-2*g + 6*g + g)*(-659 + 46*g + 659) + g**3 - 1 + 1)*(2*g**2 + 2*g - 2*g).\nAnswer: -458*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1\/8, 2\/589, 0.2 in ascending order.\nAnswer: -3, -1, 2\/589, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 574 + -572. Let n be (-5)\/45*-6 + 0. Let -8\/3 + n*h**c - 2*h = 0. Calculate h.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 12\/(-9)*-6. Let q = w + -5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l - 4. Let c(j) = -55*j + 25. Let r(m) = 4*c(m) + 25*f(m). Let o(h) = 5*h**2. Calculate o(r(z)).\nAnswer: 125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 - (-2698)\/171. Suppose 8*a - 10*a + m = 0. Let i be a\/2 - (2 + -1). Solve -i*n = -8 - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669739 is divided by 257?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -1.058, 6\/71, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 17*q**2\/2 + 3634. Determine t(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4)*1)\/(59\/1770). Let b(j) = j - 16. Let s be b(c). Let z(t) = -2*t**3 + t**2 + t + 1. What is z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 - 389. Suppose 0 = 2*d + 3*d - v. Let l = d - 15. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-10))\/((-9)\/(-3810)). Let l = g + 345. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067671 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = o - 62, -241 = -5*o + 2*l + l. Calculate the lowest common multiple of o and 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182118161 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/45*(-25)\/(-20).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9273 divided by -3091.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5 + 13. Solve s*p = -p - x + 2, p + 5*x - 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -9705, 4, -217 in increasing order.\nAnswer: -9705, -217, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 - (5 + -95 - -5)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/42 - g**3\/21 - 4*g. Factor n(p).\nAnswer: 2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 1239340 = 4428738. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4316564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33488.99 + -33624. Let q = i + 135. Which is bigger: q or -20?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230022 + -222?\nAnswer: 223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/3))**(-3\/26)*(x*x*x*x*x*x**(2\/3)*x)**(-2\/79)*((x*x\/(x*x**(-1\/11)))\/(x*x**0))**(-3\/5) assuming x is positive.\nAnswer: x**(-140861\/338910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*d**2)*(-5*d + 3*d + d) - 14452*d + d**2 + 14452*d + 31*d**3)*(d - 2*d + 3*d).\nAnswer: 66*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/230 + 42\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206*g**2*s**4 - 473*g**2*s**2 - 3*g**2*s + 664*g**2 - 683*s**4 wrt s.\nAnswer: -4944*g**2*s - 16392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340 + 230. List the prime factors of k.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84970*y**4 + 959100?\nAnswer: -339880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 20.8027g?\nAnswer: 20802.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/30 and -79\/2200974.\nAnswer: 11004870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 2.6. Let n = -0.043 + 1.043. Which is the third biggest value? (a) g (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 155\/(-15) + 2 + 8\/(-30)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250 - 296*y**3 - 3*y + 293*y**3 + 161.\nAnswer: -3*y**3 - 3*y - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*y = 229*y - 55601 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = -3. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-312))\/((-2)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022001211 - -1102?\nAnswer: 2022010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 2*o + 2*o + 3*o - 3*o + 2*o + (0*o + 0*o + 2*o)*(-1 + 5 - 3) + o - 2*o + 0*o to the form p*o + u and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 234*p + 125. What is g(0)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311584 and 13482?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(5\/4)\/a)\/a)\/a)\/a**(3\/2)*(a\/a**(-7))\/a**(-1\/5))\/(a\/((a**11*a)\/a)*(a\/(a**(-10)*a))\/a)**(-37) assuming a is positive.\nAnswer: a**(-641\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2254600 to the nearest 10000.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*r**2 + b*r - 793*b - 2591849*r + 190 wrt r.\nAnswer: 6*b*r + b - 2591849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**4 + 86*l**3*p + 210*l**2*p**3 + 72*l*p**3 + 5*p**3 - 12*p wrt l.\nAnswer: 48*l**2 + 516*l*p + 420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4 - 53*l**3 - 3*l**2 + 157*l + 106 = 0.\nAnswer: -1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.6 at most -3016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 6}. Give prob of picking 2 b and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 276\nAnswer: -1\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 2. Let i be q(6). Let d = -11 + 7. Let l = i - d. Calculate the greatest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 10180 + 9620 = 73*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -0.3, -0.19, 24 in ascending order.\nAnswer: -0.3, -0.19, 0, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71535 is divided by 2465?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**6\/720 - t**5\/8 + t**4\/6 + 4*t. Let u(r) be the third derivative of d(r). Let o be (10 - 8) + 8\/(-2) - -2. Give u(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -192*s**4 + 852*s**4 + 792*s**4 - s**4 - 4*s**2 + 4*s**2 + (-4 + 2*s**2 + 4)*(2 + 2*s**2 - 2) - 6 - 2*s**4 + 6.\nAnswer: 1453*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-32)*-12*(-3 + -20) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:00 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1124681*x**3 - 420*x**2 + 334*x**4 + 35*x**5 + 341*x**4 - 1125961*x**3 = 0.\nAnswer: -21, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:08 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 127344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-24) - (-47)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 3, b: 6, c: 4, x: 1}. Give prob of sequence xb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 3}. What is prob of picking 1 x and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 14*t**2 - 26*t - 1. Determine c(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5016716 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*w - 2*w - 1211, -4*w = 5*j - 2397. What are the prime factors of 34 + -33 + w + -2?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) - (4 - 7). Let x = -17 + o. Calculate the remainder when 87 is divided by (-6)\/x - 755\/(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 33. Let m be (119\/35 - -3) + (-2)\/5. Let i = q - m. Which is greater: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 1836?\nAnswer: 53244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x - 4*p, p + 9 = 2*x + x. Suppose -x*t - 5*j - 80 = -5*t, -3*t + 130 = 5*j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 2*d - 494 = 0. Suppose -66 - 90 = -d*n. Solve -16*m = -10*m - n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 113.4. Let l = d - 4.6. What is the closest to 1\/2 in l, 5, -2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 222940 and -0.2.\nAnswer: -44588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, 1, -1, -279 in increasing order.\nAnswer: -279, -16, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 731\/(-85527) - (-52888)\/468?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 12*a + 16*a)*(a**2 + 4*a**2 + 2*a**2 + (8 - 4*a - 8)*(2*a + a - a)).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0, -0.124, -2\/37, -4 in decreasing order.\nAnswer: 2\/15, 0, -2\/37, -0.124, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/152 and -24\/53.\nAnswer: 8056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w + 51. Let n(c) = -c**2 + 6*c - 55. Determine 2*k(p) + 3*n(p).\nAnswer: -p**2 + 4*p - 63","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4762*j**4 + 959 wrt j.\nAnswer: 19048*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115748338 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/4 + 22*t**3\/3 + 11*t**2 + 27*t - 4. Let o be r(22). Let s = -253 + o. What are the prime factors of s?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.57 - 55.57. Which is the nearest to 1\/4? (a) -25 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:19 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + 0 + 0)*(-776*f**2 - 652*f**2 + 48*f**2) as q*f**4 + b*f**3 + t + i*f**2 + z*f and give q.\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 not equal to -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17048198?\nAnswer: 2, 23, 370613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2 - 1 + 0)*(-11*o + 7*o - 14*o).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 10 = -2*p. Let r = -757 + 808.3. Let x = -51 + r. What is the second biggest value in p, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**3 + 3*j**2 + 2*j + 1 + 1\/2*j**4. Factor d(w).\nAnswer: 2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 + 353 - 57 = -155*f - 2*s, -2*f - 12 = 2*f - 4*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -19, -6, 41, 134, 285, 506?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 18}. What is prob of sequence aaav?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -555 - -62. Let b = 1542 + x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -w + 5*h, 0 = 8*w - 5*h + 4 - 64 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -58, -102, -152, -208, -270, -338?\n\"Answer: -3*a**2 - 29*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -103b60 (base 16) in base 3?\nAnswer: -2000001020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 times -0.907?\nAnswer: 229.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 17*z = 2. Let u be (4 - 4) + z + 3. Let -386 - 18*l**3 - 12*l**u - 12*l**4 - 3*l**5 - 3*l + 386 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.3293.\nAnswer: -1.6465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*k + 2*n + 157, k = -n - 39. Let m = 23 + k. Let g be 3 + 0 - (m - -17). Solve f - g = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/1*120\/100?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 9*k - 3*k)*((-2 + 1 - 1)*(-2*k + 0*k + 4*k) + k + 0*k + k + 10*k + 360*k + 126*k) to v*k + h + r*k**2 and give r.\nAnswer: -6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(272)*1 + sqrt(17))**2 - (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + 0)**2))).\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088021.\nAnswer: 3088021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 4210 - 4414 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 339*s = -335*s + 207936, -5*s + 103947 = 2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (9 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46734, 92690, 138672, 184692, 230762, 276894, 323100?\nAnswer: 369392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -329, -502, -681, -866, -1057?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 2)*(11*n**2 + 7 - 7) to f*n + m + y*n**2 and give y.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 4*i**2 - i + 2*i**2 in the form t*i + o + j*i**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-5)*24\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -12, 143, -4, -36 in increasing order.\nAnswer: -36, -12, -4, -2, 2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 310*p + 2330. What is the thousands digit of k(-164)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and -91\/136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(540)\/sqrt(6) + (sqrt(250) - sqrt(250)*1)))\/(sqrt(2) + sqrt(22)\/(sqrt(22)\/sqrt(2)) - (sqrt(18)\/sqrt(3))\/sqrt(3))*-6.\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1656379 + 36978*i**2 - 36977*i**2 + 1656379.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/30*24\/((-864)\/1116)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vumpc. Give prob of picking 1 u, 1 c, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-12) - 231\/(-4). Let u be 8\/(-36) - i\/108. Suppose 0 = -4*y + 8*y - 8. Which is the closest to y? (a) u (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 32.\nAnswer: -13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625880 is divided by 720.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 + 4*u - 1. Suppose 8*v + 3 = 7*v. Let l be (0 - (-9)\/(-6))*10\/v. What is d(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19184*f**2 - 111905.\nAnswer: -38368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209)*3)\/((sqrt(11) + sqrt(44)\/sqrt(4))*4).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1e73?\nAnswer: -1e72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 6 - 16)*(1 + 4*g - 1) in the form k*g + n and give k.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, -3, -2, 7 in decreasing order.\nAnswer: 22, 7, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182549 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.636 + -1.956. Let u = i - 3.18. What is u rounded to zero decimal places?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782714 is divided by 195667?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4446\/(-57))\/78)\/(((-420)\/(-16))\/(-15))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 + 3*l. Let j(k) = 8*k**3 - 4*k. Give -5*j(v) - 6*u(v).\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 170 = -b, 0*m + 3*b = -5*m + 170. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 10. Let f be b(0). Let m = 11 + 24. Solve -5*u - m = -f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 25036*c + 4. Let u(h) = 8*h. Determine n(u(z)).\nAnswer: 64*z**2 + 200288*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 39*p - 12*p - 7*p - 10*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 247301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l + 3. Let u be p(2). Suppose u*o - 2 - 3 = 0. Let a = 4 - 1. Solve -b = a - o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110) + (2*sqrt(110) - sqrt(110))) - sqrt(110))\/sqrt(10).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let l = -3\/2656 - 1319\/7968. What is the third biggest value in t, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44037998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5249 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45833 = 3*w - f, 14 = 185*f - 187*f. Is w equal to -15280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490833689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -8. Let t be -1*((y - 4) + 4). Let i = -6 - t. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(104) + (sqrt(104) - sqrt(104)*3 - sqrt(104) - sqrt(104)))*-1*1)\/((-2*sqrt(512) - sqrt(512))*-5*-2))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356\/11 equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 3*y**6\/10 - 313*y**5\/60 + y**4\/8 + 650*y**2. What is the third derivative of z(x) wrt x?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) + (-6)\/(-5). Suppose 3*y - 3*q - 54 = 0, -3*q = 5*y - 59 + o. Let i = -2 - -10. What is the remainder when y is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**3 + 6*o**3 + 2*o**3)*(-143*o - 969*o + 3603*o).\nAnswer: 17437*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*x**2 - 6322*p**3 + 11703*x**2 + x wrt x?\nAnswer: 4*p**3 + 23406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 312 = -2*o. Let u = -35 + o. Solve -u*b = -12 + 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -6 - (10 - (-13 + 9)) - (10 + 55)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 64 + 15*v**2)*(-55*v**2 - 10*v**2 + 15*v**2)*(-2*v + 4*v - 6*v).\nAnswer: 3000*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.54779 to two decimal places.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -805600.2 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*g - 174 = 0, -5*x + 2*x = g - 102. Suppose -4*i + 12*f = 10*f - 46, 2*i - 3*f = x. Solve -10*p + i = -7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - (80 - 73)) + 60.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18980.24 minus -15.5?\nAnswer: -18964.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 101. Let c(x) = -9 + 6 - 2*x**3 - 4*x**2 + 2*x + 3*x**3. Let t be c(j). Solve 3*z + 6 = 3*p, 5*z - z = -t*p - 35 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -229, 17, 234?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -1. Suppose 0 = n*g - 5*u + 4, -5*g - u = -g - 20. Suppose o - l = -3, g*l - 5*l = 2. Let a(p) = -p**3 - 5*p**2 + 4. Calculate a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:51 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let d(n) be the third derivative of n**4\/2 - n**3\/6 + 3*n**2. Calculate d(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.2, 123?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 9. Let u be v(-15). Suppose -5*p + 31 = -u. Let o be p\/4 + 5\/20. Solve -h = -t - 4 + 8, o*t - 14 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 26*g - 9. Let k(i) = 7 - 8 + 5*i**2 - 6*i**2. Let a(o) = -d(o) + 2*k(o). Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.742583 millilitres to litres.\nAnswer: 0.000742583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5 + 1\/2*j**2 + 0*j. Let x(k) = -6*k**2. Calculate x(i(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73236 + 35243. Let w(y) = 55*y**3 - 2*y**2 + 5*y - 11. Let n be w(-6). Let t = d - n. What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 8, 25, 44, 65?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*x + 2163 = l, 2155 = l + x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/88 and -19\/42557988?\nAnswer: 85115976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 90*w - 3. Let t(o) = 4*o. Determine c(t(b)).\nAnswer: -16*b**2 - 360*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -26*r + 27. Solve 8*a + 5 = 13*a, -r*a - 12 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:35 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3547 (base 12) in base 9?\nAnswer: -8151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 8*z + 7. Suppose -11 + 3 = -i - 2*x, 0 = 4*x + 4. Suppose t + i = 2*r, 3*r = t + 11 - 0. List the prime factors of g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -130, -195, -260, -325, -390?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264852071 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: Let u = -223 - -223.4. Let r = 4 + -17. Let v = -13.2 - r. Sort 10, u, v in descending order.\nAnswer: 10, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119659 = -156*c + 108115 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeeexed. What is prob of picking 2 d and 1 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 30. Let g be v(15). Sort g, -2, -5 in decreasing order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309145*q**3 - 185889*q**2?\nAnswer: 1854870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:14 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 3243 = -7*o - 32*o + 79*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6169 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-6)*(49662\/(-62))\/89?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.245012 decades in months?\nAnswer: 1109.40144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 2. Let c = f + 15.9. Let n = c - 17.088. Round n to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 16*y**2 - 17*y - 15. Let l be g(-15). Solve s = 4*s - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 - 6*o - 3. Let a be t(7). Let c(j) = -2*j**2 + 3 - j**3 + a*j**3 + 0 - 2*j. Suppose 9*s + 1 = 19. What is c(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -28*b + 41. Calculate the remainder when 234 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33532.20821 and 3.283.\nAnswer: 33535.49121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 1 + b - 1 + 6*b**2 - 5*b**3. Let j be v(6). What is the third derivative of -2*p + 2*p + 4*p**j + 23*p**2 - 17*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8948245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5157 divided by -27.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = g - 0*g, -3*g = -p - 43. Suppose 5*n - 250 = -g. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {u: 1, w: 1, q: 1, l: 1, k: 1, v: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u**2 + 0*u**2 + 0 - 14*u - 28 + u**2. Let t be x(15). Let q = 16 + -16. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 3. Let v be t(5). Suppose v*b = 31*b - 8. Suppose -2*d + 19 = 5*g, -4*g - 12 = -b*d - 2*g. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 5405975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5*i + 8. Let c be p(-6). Let s be -2 - 2*(-12)\/28*7. Suppose -c = 2*m, -4*v - m = -3*v - s. Which is greater: 2\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-15708)\/(-1149302)\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -115, -16\/9, 2\/9, 7, 926?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 52\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = -2*w - g, -4*g + 10 = 2*w. Solve -2*f + 2 - 4 = -2*z, w*z - 13 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (0 + 1 + 2). Let w = j + 8. Suppose m - 11 = d, 2*d + 30 = -0*m + 3*m. Calculate the remainder when m is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47407800 and 39506500.\nAnswer: 237039000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1462 - 542?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c)\/((c**(-12)*c*c*c)\/c)*(c**3)**(-6\/17) assuming c is positive.\nAnswer: c**(67\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, -8.3, 1\/3.\nAnswer: -8.3, -3, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/11? (a) -0.2 (b) -4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11294993629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1. Let l(t) = -2*t + 3. Let s be (-94)\/94*2\/(1 + -3). Calculate s*l(f) - 6*m(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 204413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6 - (-46)\/4. Suppose -w + 0 = 3*g - 7, 0 = 2*w + 5*g - m. Which is the closest to w? (a) 5 (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7082 + -7080. Let h = -73 + 125. Calculate the lowest common multiple of h and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let t(r) = -r**2 + 10*r - 14. Let p(y) = y - 10. Let f be p(19). Let z be t(f). Is z at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(28) - (0 + sqrt(63))) + 1)**2 - (4*sqrt(196))\/(sqrt(1008)*1 + sqrt(7)).\nAnswer: -8*sqrt(7)\/13 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 274*i - 166*i + 1333 + 395 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775318015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6271 + 1840*z + 12542 - 6271 as v + n*z and give n.\nAnswer: 1840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o - 8. Let u(g) = 2*g + 8. Let p(d) = -u(d) - v(d). Let z(c) = -12*c**2. Give p(z(y)).\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32417199?\nAnswer: 3, 1200637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*c + 83*c - 46410. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, p: 2, s: 5}. What is prob of sequence tt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/10, 2, 0.59, -1, 0.4, -0.12, -11?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - 1) + 2)*3. Let i(o) = o + 4*o - z*o. Let h(j) = -7*j**2. What is h(i(k))?\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtghttgtghtt. Give prob of picking 1 h and 1 t.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*d = 514*d - 492636. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z + 37 = 0, 3*q - 9 = 2*q - z. Let s be (-8)\/7*(-21)\/6. Suppose 0 = s*v + 17 - 81. Calculate the least common multiple of v and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 15. Let g(h) = -h - 7. Give 13*g(k) - 6*l(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3403 - 2042. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.66 - 0.34. Let t = -19 - j. Which is the second biggest value? (a) t (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 0*c - 6 + 2*c. Let v be l(-4). Find the third derivative of 66*i**3 - 78*i**3 + 3*i**v - 2*i**2 wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2407 - 2*w + 7*w**2 + 0*w + 9*w**3 + 2407 to the form q*w**3 + z + t*w + k*w**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 117, 92, 13, -120, -307?\n\"Answer: -27*m**2 + 110*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d. Let p(k) = 2*k - 8. Let q(y) = y - 10. Let l(m) = -5*p(m) + 4*q(m). Give l(w(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 80*j**2 + 5180*j - 43120.\nAnswer: -5*(j - 14)**2*(j + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -37. Let w = z - 0. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3 + 11. Find the second derivative of 6*r + r**2 - 3*r + 3*r**c - 5*r wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*y**2 + y + 6 to l*y**2 + k + t*y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 (base 6) in base 15?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 11:30 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + -7a3257?\nAnswer: -7a3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27581886*x**6 - 2*x**2 - 207340*x - 1.\nAnswer: 3309826320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1975bc9d + -4?\nAnswer: -1975bca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 + 10*i**2 + 9*i + 2. Let j(s) = 5*s**3 + 9*s**2 + 8*s + 3. Let c(n) = -4*g(n) + 5*j(n). Determine c(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51659 + -51663. Let p = -6 - 8. Sort p, -5, g.\nAnswer: p, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/4)\/(6\/4). Suppose -2*c + 74 = -d*a + 3*c, c = 1. Let i = a + 25. Solve -1 = -i*f + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4411760473?\nAnswer: 4411760473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200874 is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91800\/(-1360)*(-16)\/(-12)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 9 - 65. List the prime factors of ((-44)\/(-8) - 4)*w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.466402 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(-56)\/(-42). Suppose -7 = -r*k - 1. Solve 5*s - 30 = 2*q + k*q, 5*s - 4*q = 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 58. Suppose 3*j + 51 = 3*w, -3*j - 93 = 2*j - w. Calculate the remainder when 52 is divided by l(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 4*v - 2 - 1 + 13. Let t be r(6). Find the third derivative of -t*q**2 - q + q - 3*q**3 + 2*q**2 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 5*y - 16. Let i(j) = -4*j**2 + 4*j - 17. Determine 2*b(d) - 3*i(d).\nAnswer: 2*d**2 - 2*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 13.4, 777, -3?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 2*t**2 - 2. Let w(v) = 6*v - 49. Let g be w(14). Let i = g + -37. Let y(j) = 16*j**3 + 11*j**2 + 10. What is i*y(f) - 11*z(f)?\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*d - d. Suppose 5*b = -5*y + 75, 0 = d*b - y - 4*y - 55. Solve 5*q = 0, -4*q + b = 4*k - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 18*s**2 + 3*s + 1. Let v be c(-4). Suppose -4*t + v + 7 = 0. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.01, -57, 11 in descending order.\nAnswer: 11, 3, 0.01, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 1, 2055?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245572 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 1 + 4*x + 13*x.\nAnswer: 27*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-9)*(-12)\/10. Suppose -1 + 73 = t*g. Suppose 0*a - a - g = -4*j, -3*a - j + 11 = 0. Solve a*k = -7 + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:00 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 449 + -466. Sort 7, p, -1.\nAnswer: p, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - 0.25000055. Round x to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rsfr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 60.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12320197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5162*z**4 - 64556*z**3 - 173358*z**2 + 101636*z - 1120 = 0.\nAnswer: -8, -5, 1\/89, 14\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 28 - 3 - 17)*(2311 - 2311 + 133*z).\nAnswer: -9044*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjnjzncuzuvcvvc. What is prob of sequence cv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6782 - 6161 = 568*c - 85*c + 18975 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 591717 divided by -1483\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 5*o**2 + 3*o - o**2 + 3*o**2 + 2*o**2 - 128*o**3 + 132*o**3 in the form b*o**3 + h + j*o**2 + c*o and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10*24\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 16*t - 328656, 0 = -2*t + 19*d - 21*d + 41088. Is 130 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07128*-12.2.\nAnswer: 0.869616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + 10 + 1 + 0 + -17 + 135.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s + 3 - 3*s**2 + 5*s**2 + 4*s**2 - 3*s**2. Calculate w(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -16. Let c be 47850\/(-16) - k\/(-4). Let m = -2995 - c. Find the common denominator of -16\/7 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 - 7*z + 5. Suppose 2 = 2*i - 8. Suppose 0 = 4*h - i*c - 1, 2*h = -2*h - 5*c + 31. Give p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1176)\/(-67605300)*-365)\/((3\/(-5))\/3)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j - 4*n, 0 = 4*j - 4*n - 10 - 6. Suppose -3*r + 40 = -0*s + j*s, -r - 50 = -5*s. Suppose 0 = 2*g - 0*g - s. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -6, 3, 0, -5 in descending order.\nAnswer: 3, 0, -5, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2116\/(-529)*(-106)\/(-4)*1\/(-2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose 4*r + a*p - 33 = 0, 22 = r + 3*p + p. What is the first derivative of -1 - 1 + 5*z**2 - 6*z**r wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 70*f - 770. Let n be w(11). Solve 4 = k - n*k, -5*r = -k + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.561999274 + -0.562. What is x rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 59600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24310 and 561?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9, -5*g - 4*w + 70 = -33. Suppose 4*a - g - 138 = 5*u, u + 129 = 3*a. What is the remainder when 127 is divided by a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011011001101010 (base 2) to base 15\nAnswer: -233c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 at most as big as 379\/1503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r + 14. Let o be g(4). Suppose -3*d - 4*p = -d - o, -3*d + p = -108. Suppose d*y - 22 = 34*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + w + 10 = 0, -2*r + 2*w - 5*w + 12 = 0. Suppose -5*m = -2*p - 8, 5*m + 5*p - 2*p = 13. Sort -4, r, m in decreasing order.\nAnswer: r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k. Let c = 17 - 13. Suppose i + 3*x = -c*i - 11, 3*i + 11 = -4*x. Let s(v) = 1. Let q(l) = 2*l**2 - 4. Let w(p) = i*q(p) - 4*s(p). Give a(w(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(3\/594). Suppose 3*i - 1035 + j = 0. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 19*d**2 - 82 + 39 to w*d**2 + y*d + f and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9242043043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4118*o**2 - 3*o + 290?\nAnswer: -8236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17516 (base 15) to base 2.\nAnswer: 10010011010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Put w, 7, -2 in ascending order.\nAnswer: -2, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 15, y: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 52. Suppose -g + 10 = -4*s - 15, -5*g - t*s + 15 = 0. Suppose g*d + 5*b - 2115 = b, 3*d + b - 1262 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.49? (a) 69.91 (b) 2\/7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202157 at least 1202156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 242316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 0.2 (c) 0.3 (d) 1 (e) -313.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-212*s**2 - 2*s**3 + 427*s**2 - 3*s - 204*s**2 + 5)*(1 + 1 - 1) to d*s**2 + q*s**3 + z + j*s and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*o + 3*o**4 - o**2 - 34 + o**2 + 32 + 2*o**3 in the form l + x*o**4 + n*o + j*o**2 + k*o**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*r + 4904 = -0*z, 4*z - 3*r = 3948. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8370 and 7380.\nAnswer: 686340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 136, 5 in descending order.\nAnswer: 136, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3 + 5*m**3 + 5 to the form r*m + h*m**3 + z*m**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c4 (base 15) to base 7.\nAnswer: -2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 less than -1772476?\nAnswer: -1774043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1916*v*w - 3440*v wrt w?\nAnswer: -1916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41709657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -647 + 652. Let j(z) be the second derivative of -1\/30*z**3 + 1\/150*z**6 + 0 + 0*z**2 + 1\/20*z**4 - 3\/100*z**5 - t*z. Factor j(b).\nAnswer: b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 90\/24)*12. Suppose 0 = c - m*c + 32. Solve 1 = c*b + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1961910*y**3 + 468*y - y**4 + 1961909*y**3 + 1598*y to the form t + r*y**2 + s*y + m*y**3 + k*y**4 and give s.\nAnswer: 2066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84172*g**5 - 111*g**4 + 3075*g + 13573?\nAnswer: -1683440*g**3 - 1332*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f + 11 - 7 - 4.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2401785 is divided by 1503.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/5*35\/(-14). Suppose 2*z = -2*p - 4, -y*p = p + 5. Let c = 1 - z. Solve 4*d - 4*q = 32, 4*d + q = -c*q + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*w - 5317, 3*y - w + 1401 = 9393. What are the prime factors of y?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + -1 - -4) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2704, 2712, 2720, 2728?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-112)\/(-20)*(-3 - (-2036)\/(-8)). Let u = w - -2329. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-10 - -15) + (-6 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4 + 0*h + 0*h**2 + 1\/3*h**3 - 11. Find the third derivative of x(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 3774\nAnswer: -13\/1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 731392 and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5 + 5019*q**4 + 455163*q**3 - 2360991*q**2 + 3821640*q - 1920828 = 0.\nAnswer: -91, 1, 2, 1759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + 2 - 2) + -2 + -1. Solve 2*k - w*k = -4*l - 12, 0 = 5*k - 3*l + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 77*k**2 - 10*k - 42. Let w(t) = 77*t**2 - 11*t - 36. Determine -7*w(d) + 6*x(d).\nAnswer: -77*d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*q + 239*q - 40. Let y be -2*-1*(-9)\/6. Put q, -7, y in decreasing order.\nAnswer: q, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**6\/90 - 7*f**5\/30 - 4*f**4\/3 + f**3\/2 - 7*f**2\/2 + 55*f. Let n(p) be the second derivative of z(p). Solve n(b) = 0 for b.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -2*o**2 + 5. Let q(r) = 2*r - 4. Let a(t) = 5*t - 9. Let z(p) = 4*a(p) - 9*q(p). Calculate d(z(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f - l + 8 = 0, f - 13 = -2*l. Solve -1\/2*p**4 - 1\/2*p**2 + 0 - p**f + 0*p = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i**2 + 3*i)*(-2*i**2 - 3*i**2 - 4*i**2).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 2*d + 12*d. Let o = 69 - d. Let v(n) = 6*n - 6. Give v(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7663, 7649, 7631, 7615, 7607, 7613?\n\"Answer: r**3 - 8*r**2 + 3*r + 7667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.269 + -0.079. Let a = g - -0.3146. What is a rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/29308619 or 7?\nAnswer: -1\/29308619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416951 and 96732632.\nAnswer: 96732632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 98 + 312 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 + 2*l - 45. Let i be u(4). Suppose 3*p = c + c - 118, c + 5*p = i. Solve 39 - c = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(2\/(-20)). Suppose -3*i - 74 = -4*m - o, 2*i + 6 = 0. What is the remainder when 52 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(300)*-2)\/(6*sqrt(8)\/sqrt(2) + sqrt(4) + sqrt(512)\/sqrt(8)))**2.\nAnswer: 2700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/4 - (28\/(-16) + 2). Find the third derivative of 16*z**6 + 8*z**w + 378*z**2 - 341*z**2 + 14*z**6 wrt z.\nAnswer: 4560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j**10*j**(-1\/2)\/(j**10*j) assuming j is positive.\nAnswer: j**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/10)\/c*c*c**(1\/38)*c)**(-47) assuming c is positive.\nAnswer: c**(-3243\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 2c03?\nAnswer: -2c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and 1.1016818.\nAnswer: 1.0616818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m + 59. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - (2 + (2 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65570000 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60861939*s**3 - 19959570?\nAnswer: -182585817*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {p: 9, i: 1, h: 9}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3426*v**2 + 210*v + 4. Let g(l) = 6846*l**2 - 424*l - 6. Let p(c) = -2*g(c) - 5*i(c). Find the second derivative of p(z) wrt z.\nAnswer: 6876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*f - 7, 0 = 6*f - 2*f + 5*w - 37. What is the lowest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4567)\/10 + (-2)\/(-4). Let f = w + 459. Let q = -584 - -2877\/5. What is the common denominator of f and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 345704558, 345704557, 345704556, 345704555, 345704554, 345704553?\n\"Answer: -j + 345704559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/100 and -29\/303940.\nAnswer: 1519700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -95*b**3 + 17*b**2 + 38*b - 17. What are the prime factors of o(-6)?\nAnswer: 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 + 271*p**2 + 2836*p - 158. Calculate k(77).\nAnswer: -1159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -5 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300) + -1 + sqrt(300)) - -6*(-1 + sqrt(300)))**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135190 is divided by 26902.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*j**2 - 173*j**2 - 165*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*m + 28, -4*m + 26 = 5*c - 10. Let j = -10 + c. Suppose -2*i = -0*i + 6. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1070483 * 1.\nAnswer: 1070483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 5, -5, 7.\nAnswer: -5, 5, 7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 - -411. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (18 - 13) + 15 + (13 - 21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - -4) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3048083, 6096166, 9144249, 12192332, 15240415, 18288498?\nAnswer: 21336581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3943, -25061, -60253, -109513, -172835, -250213, -341641, -447113?\nAnswer: -566623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 6, o: 7}. What is prob of sequence rr?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 + 2\/(-10). Suppose 2*h - h = -3*o + 107, 3*o + 4*h - 104 = p. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k - 36*k - 38*k + 146*k - 38*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 276 + -144. Do 531\/4 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1925700 divided by -147.\nAnswer: 13100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than -68817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98768 and 296304.\nAnswer: 296304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1000, 1757, 2376, 2857?\n\"Answer: -69*b**2 + 964*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 j when three letters picked without replacement from {j: 1, x: 3, w: 1, e: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/151 in 1, -38, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 1.68?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -566 + 502.3. Let s = t - -64. What is the nearest to -13 in -6\/7, s, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7970 (b) 22 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 21686*k + 43385*k - 1 - 21708*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqhqujhuhjhqjjh. What is prob of sequence hjh?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 + (-5 - (-2 + -2)) + -41\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h + 4. Let d be 3\/(-18) + (-13)\/(-6). Is s(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.5173911 rounded to 3 dps?\nAnswer: -40.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/157, 3, -4, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/(p\/p**5))\/(p*(p\/p**(-2))\/p*p*p)**(2\/13))**29 assuming p is positive.\nAnswer: p**(2900\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2824.1 - -3127.96. Let x = h - 265.2. Let m = x - 40. Round m to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*g - 69*g + 650 - 100 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 - 5.657. Let k = -22526.67600137 + 22526.533. Let x = q + k. What is x rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369038 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x - 19. Suppose 2*z - 5*f - 84 = 0, 152 = x*z + 5*f - 76. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(2*sqrt(4) - sqrt(4)))\/(1*(sqrt(44) + sqrt(11))) - ((1 + sqrt(720))*-5 - (-3 + 0 + sqrt(720)))**2.\nAnswer: -25924 - 863*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(304)\/sqrt(200))\/(sqrt(2)*-2*4))**2.\nAnswer: -3181\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(8\/(-6 - -2)). Suppose -l*u + 194802 = -2403. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*b + 12906 = -582*b + 1602*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + q + 1. Let l(u) = -8*u**3 - 6*u**2 - 6*u - 6. What is l(p) + 6*z(p)?\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4422331*s**4 - 122*s**3 - s**2 + 49665167 wrt s.\nAnswer: 106135944*s - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -36. What is the remainder when 38 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from vvvfefhvvhkh?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929532943.\nAnswer: 13, 37, 181, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 20. Let x = 1918 - 1920.006. Let g = x + 0.006. What is the third biggest value in j, -0.3, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-4)\/3). Let w = -3.28 - 110.72. Let m = 113.6 + w. What is the third smallest value in -4, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-72)*(-2)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266874.\nAnswer: 2, 3, 19, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 8*u + 2. Let x be q(3). Let t(g) = g**2 + 12*g - 12. Let o be t(x). Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 40 = -70. Put 0.5, 0.4, o in descending order.\nAnswer: 0.5, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 842 + 674. Calculate the remainder when 31 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3867 and 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -98, -0.2, -1\/3, 1, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 18*j + 12. Suppose -2*z - 12 = -3*z. Let t be w(z). Let a be (6\/2)\/((-15)\/t). Solve m = 5*m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104286 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3204, 3236, 3268, 3300?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*i + 1584*i - 277*i = 35469 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79339870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -31600 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -5 (c) -3 (d) 0 (e) 4\/257 (f) -0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4409*h - 184752. Determine u(42).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(288)*1)**2 + -3.\nAnswer: -95\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.02 + 0.17. Let w = o + -0.15. Put 5, w, -0.1 in descending order.\nAnswer: 5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3910*f**2 - 85*f + 340. Let d(g) = 186*g**2 - 4*g + 16. Let c(u) = 85*d(u) - 4*o(u). Let q(r) = -3*r. What is c(q(l))?\nAnswer: 1530*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/5 - 879*g**3\/5 - 174*g**2 + 1752*g\/5 = 0 for g.\nAnswer: -292, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -37359260 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, 1\/6, -2\/1687, -1, -2, 4 in descending order.\nAnswer: 4, 3.1, 1\/6, -2\/1687, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u - 283. Give x(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3338 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - 1) + (-6)\/6. Suppose x = 5*l + 13, -4*x + x + u = -l. Solve -x*k - 5*z - 14 = 0, 0 = -k - k + 5*z - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*f + 66, -3*f - 26 - 106 = -4*g. Let o be (-2)\/11 - (-171)\/g. Suppose 1974 = o*a - 1411. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**27*x\/(x*x\/((x*x\/x**(1\/17))\/x)))**(23\/4) assuming x is positive.\nAnswer: x**(5267\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-504165)\/(-114) + (-1)\/2 + -5 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2029\/48 > -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9975 + 9720 = 39*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 9:53 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*m + 28, -4*y - 4 + 2 = -2*m. Suppose 4*o - y*p - 2399992 = 0, -3*o + 746492 = 5*p - 1053528. Round o to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atte when four letters picked without replacement from {t: 4, m: 1, a: 3, e: 5, q: 1}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -6563311\nAnswer: 5\/6563311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -4. Let j(x) = -3545*x + 1. Let q be j(s). Let v = q - -8184. Round v to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:35 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -3.314?\nAnswer: 0.3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -91, -141, -193, -247, -303, -361?\n\"Answer: -q**2 - 45*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 1\/6 (c) -3 (d) -25\/6 (e) 4 (f) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -4277?\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2386445 by -12365.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*w - 2874, 4*w + 1 = -7. Let v = i - -1117. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 105. Let m be (j\/35)\/(6\/4). Let p = -4 - -7. Which is the second biggest value? (a) 1\/3 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j - 219*j**2 + 0*j**3 + 0 + 0*j**4 - 1\/15*j**5. Let b(f) = -2*f**2 + 10*f. Determine a(b(n)).\nAnswer: -16*n**4 + 160*n**3 - 400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + y**2)*(2*y - 2*y - y) + (-322 - 3*y + 322)*(-1 + 1 - 2*y**2) as r*y**3 + b*y**2 + j + x*y and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b**2 + 70*b - 32. Let q be y(6). Let p be 26 - (-1 - 1)\/1. What is the greatest common divisor of q and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 + 2 = 0, 5*v - 89 = -2*i. Let y be (-3 - (-162)\/i)\/(9\/42). Is 877 - (y + -4 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -863*d + 871*d. What is the greatest common factor of d and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*(-1158)\/(-15). Let j = s - 2181\/20. Calculate the common denominator of 226\/12 + ((-1)\/1 - -7) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) + (-2)\/(-2). Suppose 2*f - o = -1, -3*f + 20 = 2*f + m*o. Suppose 0 = -2*d + 5*b + 8, 2 + f = d + 3*b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(-2)\/(-4))\/(-3*(-6)\/288). Suppose 2 + 0 = j. Solve k*r + 5*r**j + 6*r - r - r = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101585558 and 9846?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 0.3, -0.13, 2440, -7\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 times -882?\nAnswer: -134946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = -5*d. Suppose 0 = -d*n + 4*n - 4, 5*n + 52 = 4*k. What is the greatest common divisor of 144 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/7, 11\/4, 126?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118 and 10868.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + 3 + -10 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260, 6522, 9786, 13052, 16320?\nAnswer: 19590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -982121, -982444, -982767, -983090?\nAnswer: -983413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10545 and 3332997.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.158 + -0.052. Which is the closest to h? (a) -4 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 237 - 232. Suppose -24 = -m*x + 4*z, -4*x + 7*z + 13 = 10*z. Solve 0 = 5*b + 25, -b + 3 + 8 = -x*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 3\/7 (b) 2\/23 (c) -1\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6921130 and 116070?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c - 1\/2*c**3 + 0 + 0*c**6 + 6*c**2 + 0*c**5 - 1\/30*c**7 + 0*c**4. Differentiate i(t) wrt t.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17722, -34797, -51872, -68947?\n\"Answer: -17075*o - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28265 - -30180. Calculate the smallest common multiple of f and 383.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472 + 934 - 462 + 105067*d**2.\nAnswer: 105067*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 2*x**2 - x + 35. What is the units digit of f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95207.28 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625869 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 + 14610 = 10*i. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 3*i + 3. Let q be b(1). Let a(k) = 5*k - k - 3*k**q + 1 - 2*k**2 + k. What are the prime factors of a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1644 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -288?\nAnswer: -1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -0.2 (c) 4\/7 (d) 216 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 11*v - 8. Let z be w(-11). Let l be (z\/(-10))\/(1 + 4\/(-5)). What is the third derivative of -16*h**l + 0*h**2 + 28*h**4 + 6*h**2 wrt h?\nAnswer: 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -310309 divided by -11.\nAnswer: 310309\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 30227881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147402*r**2 + 297204*r**2 - 149799*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2916) + sqrt(2916) - sqrt(36))\/sqrt(12).\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -49. Which is the nearest to k? (a) 5 (b) -3\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66262 by -11.\nAnswer: 66262\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7811697*a**3*l + a**2 + 3*a*l + 487612*l wrt a.\nAnswer: -46870182*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8) + -3 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*n + 30376 = 0, -7*n + 18248 = 3*d - 5*n. List the prime factors of d.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89282*b**5 - 3*b**4 - 39*b**3 + 23358990*b**2 wrt b?\nAnswer: 5356920*b**2 - 72*b - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -30*i**3 + 17*i**2 - 13*i - 29. Let y(z) = 23*z**3 - 13*z**2 + 10*z + 22. Let n(w) = -10*j(w) - 13*y(w). Calculate n(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 99 = 12*k, -p + 3*p - 10762 + 10652 = 2*k for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.460875 minutes in days?\nAnswer: 0.04198671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 + 1)) + (-96)\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3. Let m(c) = -c**2 - 6. Let n(w) = 3*m(w) - 6*r(w). Let y(a) be the third derivative of 0*a + 0*a**3 + 1\/12*a**4 - 7*a**2 + 0. Determine n(y(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1663 + -80?\nAnswer: -1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 11\/248765831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 3*s**2 + s - 3. Let j(w) = -5*w**3 - 4*w**2 + 2. Determine 3*j(f) + 4*x(f).\nAnswer: f**3 + 4*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.44 + -1.5385953058?\nAnswer: -5.9785953058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -314 - 7*a - 8 + 5*a + 2579 in the form f + o*a and give f.\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r + 10. Let a(v) = -5*v - 9. Let j(p) = 2*a(p) + 3*h(p). Is 33 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l - 5. Let t(x) = x**2 - 6*x - 6. Let d(s) = -6*m(s) + 5*t(s). Let p(i) = -i + 0*i + 5*i + 3*i. What is d(p(a))?\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 74) + -1 + 2 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 + 1142. List the prime factors of h.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 13 + 1)*(0*h**2 + 0*h**2 + 2*h**2) + (-2*h - 2 + 2)*(h - 6*h - 3*h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.60079 rounded to 1 decimal place?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*z**2 + 5 - 33 + z + 7 wrt z.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.58 - -0.58. Let r = 0.5 - -1.5. Which is the nearest to -1? (a) i (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1090*y + 663*y + 428*y. Let p(k) = 7*k - 5. Determine -5*b(w) + p(w).\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*m**5 - 2366*m**4 + m**3 + 887138*m**2 wrt m.\nAnswer: 4680*m**2 - 56784*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -31. Calculate the remainder when 2\/(-10) + ((-738)\/(-15) - g) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhi when three letters picked without replacement from {i: 13, h: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 34*v + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - 2*i**2)*(-3 + 3 + 2*i)*(-3*i + 5*i + 0*i) + (2*i**3 + i**3 - i**3)*(2*i + 2*i - 7*i).\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*s**3 + 90*s**2 + 21574*s wrt s?\nAnswer: -246*s + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1943 - 1944. Is v at most as big as -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -968, -5, -2, -1 in increasing order.\nAnswer: -968, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576132 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -0.2, 1992 in ascending order.\nAnswer: -0.2, 102, 1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.4 - 32. Let r = -0.8 + 1.3. Which is the smallest value? (a) r (b) l (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7001290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1590 = k + 4*x, 5*k + 5*x - 1595 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343 - 44?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12740 divided by 196?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 31.753\nAnswer: 222.271","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*q**3 - 11*q**3 + q**3 + 8 - 2 wrt q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.018 - -0.018. Let v = -6 - -2. Let x = 1 + v. Which is the nearest to w? (a) 0.5 (b) -3\/10 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 7*f + 9. Let x(u) = u. Calculate -g(b) + 2*x(b).\nAnswer: 2*b**2 - 5*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -4\/7, 11, 10, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine quarters of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829324741 to the power of 1\/3, to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from nnononnnnoqonnnonn.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72881, 145737, 218593?\nAnswer: 291449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49101523 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 207 = 5*n, 0 = -9*n - 24*l + 21*l + 228 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -11708030.\nAnswer: -1\/11708030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 89. Let j(s) = 12*s**2. Determine j(a(k)).\nAnswer: 48*k**2 - 4272*k + 95052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 + 2200\/(-140) - (-38)\/14. Solve 2*o = 7*d - 2*d - 33, -27 = -3*d + z*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/10 (b) -5 (c) -1\/13 (d) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17993*j = -18068*j + 2625 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 258180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272616*0.4.\nAnswer: 109046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. List the prime factors of 33 + y - (-4)\/1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1070*a + 37567. Give s(35).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 6*x + 20, 11*x - 8*x = -2*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 104 = 0. Let i = -23 + w. What is the remainder when 10 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/19292904 and 131\/9289176.\nAnswer: 250807752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 13*b**2 + b + 9. Let d be n(-13). Sort 0.2, d, 8.\nAnswer: d, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:47 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16643 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2346*l - 442 + 2347*l - 224.\nAnswer: l - 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h + 20. Let u(j) = -8*j**2 - 5*j + 3. Let z(d) = -7*d**2 - 5*d + 2. Let i(f) = h*u(f) + 6*z(f). What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 98*a**3 - 37*a**3 - 15*a**3 - 4*a**2 + 6*a**2 - 77*a**3.\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 649067 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77452, -77807, -78160, -78511, -78860, -79207, -79552?\n\"Answer: o**2 - 358*o - 77095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -16.4\nAnswer: -26.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5264\/(-42))\/4*(-135)\/45.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.3 (c) -0.5 (d) 5 (e) -0.1 (f) 129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 1, -2\/9, -4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 615, 1234, 1853, 2472, 3091, 3710?\n\"Answer: 619*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7*l. Let n = 13 + l. Suppose 1 = -4*b + n. Solve -3*m = -4*m - b, f + 20 = -5*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798.\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2784 + 2787. Are v and 4054 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x - 128*x = -198, 5*h = x - 1 - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 109*r**2 + 396*r - 99. What is v(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2 - 1768*x - 781456 = 0.\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 6, 8, 5, -20 in ascending order.\nAnswer: -20, 0, 2, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*t**4 - 8)*(t + 15*t + 2*t).\nAnswer: 36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d + 16. Let a(b) = 11 + 137457*b + 20*b**3 - 21*b**3 - 137452*b. Give -7*a(z) + 5*s(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/672 - m**7\/105 + m**6\/40 - m**5\/30 + m**4\/48 - m**2. Solve x(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, t: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -51*u - 69. Let b(l) = 5*l + 7. Let k(t) = -21*b(t) - 2*o(t). Let h be 32\/(-6) - 2\/9*3. Give k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**9\/126 - p**5\/20 - 4*p**2. Find the third derivative of i(o) wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-143 - 131 - 363*i + 271)*(3 - 1 - 3) to t + k*i and give k.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430374 is divided by 12296.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 3*sqrt(121))*-3)\/(-5*(sqrt(539) + sqrt(11))).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/23263 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 67002847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 11*f + 83 = 0, -f = -2*q + 7*f + 13367 - 13315 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13483326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4\/(1 + 1\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let f(a) = -1425*a. Let w(z) = -760*d(z) - f(z). Let y(b) = -17*b. Give y(w(p)).\nAnswer: 1615*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 11*j + 10. Let b be n(10). Is 12 a factor of (24 - 1)*(1 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 130*z**4 - 5*z**2 + 588*z. Let b(w) = 2*w**4 - w**2 + w. Let k(a) = -5*b(a) + u(a). Find the second derivative of k(d) wrt d.\nAnswer: 1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 3*s)*(-24*s**2 - 14*s**2 + 51*s**2).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(31\/2))**6\/(i**(-18)\/i)**(-5))**(-32) assuming i is positive.\nAnswer: i**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 9:50 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11\/4, 1\/7, -5, -1.1948 in descending order.\nAnswer: 11\/4, 1\/7, -1.1948, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 3*f**3 + 0*f**2 + 3*f**2. Let c be m(1). Suppose s - 12 = c*w, 5*s + 3 + 14 = -w. Is -7 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 17*r + 15. Calculate z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 + 90. Let a = 41 + j. Solve 3*w + a*f - 4 = 5*w, 4*w + 4 = 3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 22221.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 + (2 - (75 + -43))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-5\/3)))\/(((b*b**1)\/b*b)\/b))**(-17) assuming b is positive.\nAnswer: b**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3510 and 142389?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -20*n**3 + 339*n**2 + 18*n - 9. What is t(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326444 + 0?\nAnswer: 326444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-1)\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 99*j + 158. Let y = 60 + -108. Let h be v(y). Solve 4*b = 3*g - 7, g + 3*g = 3*b + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-1)\/(16\/(-72009)). Let x = 4499 + p. Find the common denominator of 2\/(-10) + (-638)\/(-140) and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.04 - -2.34. Let w = s - -3.7. Let p = w + 20. Which is the third smallest value? (a) -0.5 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1. Let s(y) = 2*y + 7. Suppose 0 = -4*v + 3*v + 3*z - 1, v = -4*z + 6. Let j(k) = v*b(k) - s(k). Differentiate j(x) with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193913177 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 9*i - 11. Let t be u(-6). Suppose -6*f = r - f - 13, -r = -f - t. Let y = -37 + 41. What is the greatest common divisor of y and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 169, 3, -3, 4, 76 in descending order.\nAnswer: 169, 76, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-360)\/81)\/(-10))\/((-101)\/(-11817)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 0.5 (c) -0.06 (d) -0.161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/210*f**7 + 0 - 3*f**2 + 0*f - 1\/12*f**4 + 0*f**5 + 1\/60*f**6 - 1\/6*f**3. Factor j(q).\nAnswer: (q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-28) + -2 + 4 + -1. Let q be (-3 - (-1 - 12)) + 4\/2. What is the second smallest value in -4, -1\/2, x, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(192)\/sqrt(4) - sqrt(3))) + sqrt(3) + (sqrt(3) + 0 + sqrt(3) + 2 + sqrt(3) + sqrt(3) - sqrt(3)))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -5. Let c be (-2)\/(w\/9) + -1. Suppose -p + 0*p = -c. What is the highest common factor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 281 = -1375. Let n = l - 1099\/6. Factor -5\/6*k**2 + n + 0*k.\nAnswer: -5*(k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-24)*34\/(-17) - 29\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y + 4*l - 18784, 2*y - 3*l = 9407. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15\/(-10))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 0.45034?\nAnswer: -5.45034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 59*n - 21. Let a(f) = 27*f - 11. Let q(g) = -5*a(g) + 2*j(g). Let r(m) = 4*m - 3. Determine -6*q(w) - 26*r(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*10246515\nAnswer: 51232575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1106 - 4766 = -183*n. Solve 18*q - 2 + n = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140042201 (base 6) in base 7?\nAnswer: 32561662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-5) + (51 - 52). Which is the third smallest value? (a) 0.2 (b) m (c) 4 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19803960, 19803964, 19803970, 19803978?\n\"Answer: h**2 + h + 19803958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12313192 or 2?\nAnswer: 12313192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130044589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*a = 22, w + a + 0*a = 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -13. Let q be ((-6)\/p)\/((-4)\/(-108)). Suppose -a + 4*s + q = -3*a, a - 2*s = -5. Let f(c) = -c**2 - 8*c - 6. Calculate f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -243*w. Let y(t) = 234*t**2. Give o(y(z)).\nAnswer: -56862*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 58 - 7 = -z, -53 = -2*i + 5*z. Solve 5*f = w + w - i, 3*f + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 6 = -4*p. Suppose 4*j = 2*m - 68, 0*j - 164 = -4*m + j. Suppose -f + 5*b = -m, 154 = 2*f + 3*f + p*b. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, 7, -3, -1, 1, 0 in descending order.\nAnswer: 744, 7, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3\/7, -1, -3, 256?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -4\/7, 18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 6. Suppose 2*p = k*p. Suppose -5*r + 0*r + 130 = p. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61, 52, 43?\n\"Answer: -9*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 580 = -4*b + 505, -2*b + 541 = 3*n. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*i**3 + c**2*i**2 - c*i**3 + c*i + 92*i**3 wrt c?\nAnswer: -12*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 244 = 28 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -0*r + 4*r, 0 = 5*k - 20. Let d be ((-7)\/14)\/(r\/(-2)). Sort d, 1, -2.\nAnswer: -2, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x - 22*x**2 + 35*x**2 + 2 + x**4 - 14*x**2 as s + h*x**4 + q*x**2 + y*x**3 + c*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 + 7876*p**3 - 1316880*p**2 = 0 for p.\nAnswer: -2124, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - -132. Let p(c) = 14*c - 1. What is p(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5 - 2*n + 2*n - n. Let y = 7 - -11. What is the least common multiple of i(-5) and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*s + 65*s + x + 2180, 2*s + 4*x - 2160 = 0. What is the greatest common divisor of s and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**4 + 564356*c**3*s**2 - c**2*s**2 - c*s + s**2 - 14477*s wrt c?\nAnswer: -96*c + 3386136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - t - 969, 0 = -3*r - 2*t - t + 585. Let d = r + -133. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - -1) + (-58 - -142)\/12. Let t be 1\/(-2) + (-2102)\/(-4). Calculate the highest common factor of m and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 + 30*d**2 + 13*d - 6. Let b be p(-7). Let r(z) = -z**3 - z + 1. Determine r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5 - q + 3 - 1. Let u be d(-6). Let l(s) = 2 + 4*s**u - s**3 - 2*s - s**3 + 3*s**2 - 3*s**3. What is l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d9 (base 14) to base 13.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = c + 33*k, 21*c + k - 64 = 25*c - 2*k for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4274 - 842 + 18 = -115*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8547 + -239341\/28. Calculate the common denominator of i and 85\/12 - 161\/690*-5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 + 16*k**2 - 257*k - 1468. Let s be j(-6). Let 1\/2*b**4 + 5\/2*b**2 - b + 0 - s*b**3 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**6\/180 - a**5\/120 - a**4\/12 - 49*a - 58. Let d(f) be the first derivative of t(f). Factor d(y).\nAnswer: y**2*(y - 3)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + -1 - (0 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 27683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134308 is divided by 206?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -129?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:26 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 5. Let a be f(4). Suppose o - 5*z = 11, 16 = a*o - 2*z - 85. Suppose 2*s - o = s. What is the remainder when 41 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 584 + -648. What are the prime factors of (-6)\/(-16) - 53736\/c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20828468231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -4 + 1 - 10. Let h be (-38)\/(-12) - o\/(-96). Factor 2\/7*r**2 + 0 + 0*r - 2\/7*r**h.\nAnswer: -2*r**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-26)*(-8)\/(-28). Let m = 3.7 - 2.6. Let k = 45.1 - 44.6. Sort 1, n, k, m.\nAnswer: n, k, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -1, -2, 24, -4 in ascending order.\nAnswer: -4, -2, -1, 24, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 y when four letters picked without replacement from {a: 7, o: 2, y: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4)*14\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0 - 107\/30*t**6 + 0*t**5 - 110*t + 0*t**2 + 0*t**4 + 86\/3*t**3. Find the second derivative of v(s) wrt s.\nAnswer: -1284*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1428, 1371, 1314, 1257, 1200?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30248, -29817, -29100, -28097, -26808, -25233, -23372?\n\"Answer: 143*f**2 + 2*f - 30393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 6 - 21. Suppose 1752 = 5*n + p*c, -6*n + n + 3*c + 1728 = 0. What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 49692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 8*f + 15. Let q be x(4). Let p(c) = 95*c**2 + 4*c + 3. What is the tens digit of p(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 3. Calculate the highest common divisor of 44 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 + 0 + 10*k - 11*k. Let j be 15\/(-20) + (-1)\/4. Let w(r) = 5. Let m(s) = j*w(s) - 5*z(s). Calculate m(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79733 - -79737. Let t = -5 - -5. Suppose -4*i = 16, -5*g + 4*i = -7 - 29. Solve -g*m = -t*m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j\/(j*j*j\/(j*j**17)))**(-9) assuming j is positive.\nAnswer: j**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - -1.4. Let s = r + -6. Is s greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (88 + 1 - (-36)\/9). Let l(b) = -3 + 46*b - f*b + 4 + 46*b. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -2*z + c, -10*z + 13*z - 3*c - 339 = 0. Suppose x - 2*x - g = -z, -2*g = 4*x - 452. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-156)\/(-27) - 2) + 16\/72. Suppose -w*s - 16 = -28. Solve s*x + 0 = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2989*w**3 + 1450*w**3 + 1164*w**3)*(-w + 6*w + 4*w) as b*w**3 + f*w**2 + z*w**4 + d + r*w and give z.\nAnswer: 50427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 1 - (-16 + 17). Let k(o) be the third derivative of 0*o**4 + 0*o + j*o**2 + 1\/60*o**5 - 1\/6*o**3 + 0. What is the derivative of k(c) wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 826722?\nAnswer: 3306888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 408954960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*t**3 - 24246*t**2 + 3*t - 1757709 wrt t?\nAnswer: 102*t - 48492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*d - 6874 = 116*d - c, 3*c - 3 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -5. Suppose 0 = -q*v - 25, z + 2*z = -4*v - 11. Suppose z*w = 21 + 12. Solve l = -0*l - 4*h + w, 0 = -4*l - h + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*k + 6. What is the remainder when 13 is divided by (k - 2) + 2*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139816897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -20\/397 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2388 = 18*p - 4542. Calculate the greatest common divisor of 594 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 5*k + 6. Let c be d(-3). Calculate the greatest common factor of 36 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 52. What is the second derivative of 5*j**4 + 3*j + 6*j + 0*j - j**c wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1 + 4 - 4 + 2 + u**2 - 4*u. Let c be l(3). Is -2 + c\/(-2)*39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 - 7*h - 6. Let a be m(7). Let d be 4\/a - 28\/(-6). Factor 0*c**2 - 2*c**2 + d*c - 2 + 0.\nAnswer: -2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100011011 - 101?\nAnswer: 110010100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 73*i**3 + 39*i**2 + 17*i + 10. Let d(x) = 49*x**3 + 28*x**2 + 12*x + 7. Let u(p) = -7*d(p) + 5*w(p). Calculate u(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-48)*(-4)\/(-10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -18. Let f be 12 - (0 - r\/2). Suppose -3*n + 6 = g, -3 = -2*g + 3*n - f. Put 1, 9, g in descending order.\nAnswer: 9, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-2))\/(-3) + 18\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 28*j = -1222. Calculate the greatest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1118\/7 + 160. Let t = -15.8 + 27. Let z = t - 14.2. What is the fourth biggest value in 3\/4, 2\/3, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = h + 4*d, -1959 + 1951 = 4*d for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20295 divided by 5\nAnswer: -4059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**2 - 2 - 16*w**2 + 6*w**2 in the form r + f*w + s*w**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -67*d**3 + 9*d**2 - 5*d - 53. Let v(q) = -q**3 + q**2 - q - 4. Let k(n) = -i(n) + 5*v(n). What is the third derivative of k(j) wrt j?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10911, -10916, -10925, -10938, -10955?\n\"Answer: -2*u**2 + u - 10910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from nnnsnds?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273145 + -14?\nAnswer: -273161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77011?\nAnswer: 11, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8 - z**3 + z + 6*z + 0 + 1 + 6*z**2. Is 9 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s + 86. What is the remainder when z(0) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/5)\/(33*(-44)\/7260).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 5, z: 2, q: 8}. Give prob of sequence tqv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54404900399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-4 - -3)\/(497\/(-8875))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3 + (-32)\/(-10)). Suppose -6*w + p = -7. Let b(f) = 3*f + 3. Let l(y) = 16*y + 16. What is w*l(x) - 11*b(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 12*c**2 + 12*c - 3. Let s be (-14 - (3 - 4)) + 0. Let v be f(s). List the prime factors of v\/(-35) - 956\/(-14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wrw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 1 + sqrt(1216).\nAnswer: -6 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088) + 1)*3)**2.\nAnswer: 288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486053143*-2.\nAnswer: 972106286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*3*-1)\/((-1*sqrt(275) + sqrt(275) - sqrt(275))*5 + sqrt(275) + sqrt(275)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 2*a + 1. Let h be f(2). Suppose -h*u - 3*x + 123 = 0, -100 = -5*u + u - 2*x. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*l = 10, 5*l = 3*u + 2 + 1. Suppose 0*z + 16 = -u*z. Let s(h) = -2*h**2 - 2*h - 1. Let i be s(-2). Is i greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68767678957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:13 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/59)\/m)\/m**(-15\/2))**50 assuming m is positive.\nAnswer: m**(19275\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*q + 6001, t + 3005 = 2*q - 0*q. Let m be (t\/(-15))\/(8\/2). Let b = m - 234\/5. Calculate the common denominator of 76\/3 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r**2 + 6*r + 33*r - 38*r - r.\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*h + 2 = 0, 2*f - 3*h + 6 = -0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfadydyfdfddyffddd. What is prob of picking 1 d and 2 f?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Suppose -o - 3 = -t*o. Let b(j) = 2*j**2 + 4*j - 1. Let f be b(o). Solve -f*g - 30 = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 68*a + 8*a**3 - 63*a - 4 - 14*a**3 - 1 - 5*a**2. Let n(v) = 3*v**3 + 3*v**2 - 3*v + 3. Determine 6*k(h) + 10*n(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*o + 41*o - 22*o)*(-3*o**3 - 2 - o**3 - 4*o**3) - 3*o**4 - 2*o**4 + 6*o**4 to z + h*o**4 + v*o**3 + t*o + k*o**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 253*w + 1. Let f(g) = 21*g**2. Determine f(k(l)).\nAnswer: 1344189*l**2 + 10626*l + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 7. Let s be y(-3). Suppose 75*h = 70*h - 140. Let g be 12\/h + 100\/364. Sort g, s, -1 in descending order.\nAnswer: s, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (-42 - 45 - -78)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43034*b - 86121*b + 43054*b.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 12480 - 12476 - 6*o + o**2 - 3*o**2. Let v = -1 + -4. Is k(v) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110012 - 10?\nAnswer: 110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let w be 16\/10 + (22 - 24). Let y be (-2)\/(-3)*12\/(-20). Which is the nearest to w? (a) 5\/3 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4065369*j**2*t*y**2 + 78*j*t - 2*j*y**2 + 12*j - 413*t*y wrt j.\nAnswer: -8130738*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211001211011201 - 21?\nAnswer: -1211001211011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -648*z**3 - 29304*z**2 - 331298*z = 0.\nAnswer: -407\/18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) - -1*sqrt(2187))*-5 + sqrt(2187))\/((sqrt(576)*4)\/sqrt(4)).\nAnswer: -81*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/32832100 and 109\/40.\nAnswer: 65664200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 2, p: 1, j: 1, r: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -24. What is the remainder when 16 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 6*n**2 - 3*n + 3. Suppose s + 2 = -4. Does 7 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4 - 392767*k**3 - 10594*k**2 + 4*k - 3 wrt k.\nAnswer: -24*k - 2356602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-4)\/9*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 23. Suppose -3*n + 22 = 5*w, 2*n = -2*w + t*n. Solve 6*b - w*b + 20 = 4*v, 0 = 2*b + 2*v + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -0.5\nAnswer: 62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*f**3 + f + 58*f**3 + 1 + 19*f**3 - 1.\nAnswer: 9*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.265 and -55962.\nAnswer: -55962.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 4\/4)\/(15*1\/60). Let s(l) be the first derivative of 23\/4*l**4 + 0*l**3 + 0*l - d + 7\/2*l**2. What is the second derivative of s(a) wrt a?\nAnswer: 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let j(m) = 4*m + 9. Let a(w) = -j(w) - 5*l(w). What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 1881 + 939 + 942 + 9*j to the form x*j + o and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q - 0*b - 5*b, 2*b = -5*q + 12. Solve -4*f = 2*d - 6*d + q, 3*d - 2*f = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -53*k**2 + 2*k + 2. Let b(s) = s + 1. Determine -2*b(v) + d(v).\nAnswer: -53*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = -16, 0 = -2*t + 5*h + 84. Suppose t*f - 12*f = 220. Calculate the highest common divisor of f and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k + 215. Suppose -4*d - 52 = -2*d. Let r = d - k. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (91128\/9)\/4 - 6\/(-9). What is the third derivative of -188*m**5 + 30*m**2 + 4*m**5 - 2534 + p wrt m?\nAnswer: -11040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68326?\nAnswer: 2, 127, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3135318549 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.004? (a) 0.8 (b) 1\/2 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 6*y - 13. Is w(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v + 2. Let n(s) = -16728*s**2 - s. Determine x(n(j)).\nAnswer: 284376*j**2 + 17*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.31 times 1?\nAnswer: 554.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, q: 1, r: 1, j: 8, s: 2}. Give prob of picking 1 r and 1 j.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 2. Let a = l + 13. Suppose p - 13 = 4*m, -a*p + 4*m + 9 + 6 = 0. Let j(f) = -2*f**3 + f. Determine j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68272.34 rounded to the nearest 10?\nAnswer: -68270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v - 3. Suppose -3*n + 22 = -4*q, 0 = 2*n - q - 0*q - 8. Determine u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s - 3*d + 22, s + d = 6. Let x = 349 + -1033\/3. What is the common denominator of x and s\/10 - 6816\/840?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m - 12. Let q be p(18). Is (q - 0) + (-23 - -22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkqxkf. What is prob of sequence xx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c6893 (base 13) to base 6\nAnswer: 11354322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3\/5, -1\/17, -1.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, 3*d + 20 = 4*c + 3. List the prime factors of (3\/3)\/(-1)*d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 80) + 1 + -2. Let u = -34 - m. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*b - 3*b. Calculate the least common multiple of 56\/(-21)*(13 + -1 + -33) and b.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1621, -12084, -40485, -95794, -186981, -323016, -512869?\n\"Answer: -1495*a**3 + a**2 - a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1009 - 1115.1. Let v = i + 106. Which is greater: -14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-122)\/(-5) - (-4)\/(-10). Suppose 2*r = r. Solve 5*v - l - 1 = r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:41 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5256 by 1314.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -4*q**2 - q + 70. Calculate p(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 5, q: 6, x: 5, w: 2}. What is prob of picking 2 v?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3 + 18*m - 9.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose 76*k - 11 + 11 = 0. Let l be (-12)\/5*40\/(-3). Solve k = 4*v - 3*p + l, -w*p + 3 = 2*v - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*r - 14*r + 140*r)*(5 + 10 + 3) + (-2 + 2 - 2)*(1 + 2*r - 1) to the form c + a*r and give a.\nAnswer: 3812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - n**2 - 2*n - 1. Let l = -1 + 0. Let g be b(l). Put 0, 1, g in descending order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 993 = 7*a. Suppose -4*h - 11 = -a. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/5 - 177*s**3\/5 + 816*s**2\/5 - 60*s - 1296\/5 = 0. What is s?\nAnswer: -1, 2, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -8*z + 27. Suppose -10 = -5*f, z*n - 2*f + 4 = -0*n. Solve n = 4*u - s - 1, -5*u + 0 - 5 = 5*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 161. Let t(u) = u**3 + 2*u**2 - 2*u + 26. Let a be t(0). Let s be h(a). Solve -5*z + 2 = -8, s*r - 5*z = -35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*x + 586, -5*x + 466 = 4*h - 715. Suppose p + 3*u = h, 2*p + 0*p - 3*u = 579. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*y + 2070 = -101*y. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -177\/5 in -3, -2, 4313, -0.3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from fdadddafffaaaff.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3 + 366568*n**2 - 366572*n = 0. What is n?\nAnswer: -91643, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 f when four letters picked without replacement from {a: 3, e: 3, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 6*q + 9. Let g be d(7). Let c = 0 + g. Suppose 0 = -5*t + i + 102, 2*t + c*i + 44 = 4*t. What is the greatest common factor of t and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -6, 0.3, 10 in descending order.\nAnswer: 10, 0.3, 0, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.99 times -25\nAnswer: -99.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 92*w + 7*w + 64*w - 13*w.\nAnswer: 143*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2537, 3 in descending order.\nAnswer: 2537, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.576 from 0.3.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**35\/n))\/(n**43\/n) assuming n is positive.\nAnswer: n**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 1. Let k be u(0). Calculate the remainder when 12 is divided by (-9)\/(0 - k) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191546650 a multiple of 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*s + 28, 54 = -3*c - 4*s + 10. Let b be (1 - 3) + (-66)\/11. Let n be (-90)\/b*c\/(-6). Are n and 30 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 9*s**8\/28 + s**6\/30 - 19*s**4\/4 + s**2 - 4*s + 31. What is the third derivative of x(m) wrt m?\nAnswer: 2160*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 51?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 16997\/80745?\nAnswer: 16997\/80745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 161*u - 41. Let x be w(40). Let p(k) = -17*k. What is p(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354500334 and 2484.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 5*a**2 + 5*a**2 + (-47*a - 17*a - 16*a)*(-5*a + 23 - 23).\nAnswer: 399*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 495*p + 3. Let z(i) = 515*i + 3. Determine 5*r(w) - 4*z(w).\nAnswer: 415*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1614, -3252, -4904, -6576, -8274, -10004, -11772?\n\"Answer: -o**3 - o**2 - 1628*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.87 - 0.13. Let i = -1152\/7 + 164. Suppose 0 = 5*w + 15, 0*w + 5*w + 15 = -y. Which is the third biggest value? (a) i (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 8.03.\nAnswer: 4.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/15 + x**4\/3 + x**3\/2 + 6*x**2 + 2*x. What is i(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -194*h**2 + 4*h - 82. Let i(u) = 18*u**2 - 1. Let y(d) = 4*i(d) + j(d). What is the second derivative of y(l) wrt l?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4323 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355 - 86. Let m = o - -441.546. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 306 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -59. What is the highest common factor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*u + 1767 + 2265, 4*u = -3*s + 6042. Let b = s - -3373. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 9*r + 11. Let k be a(-8). Suppose 0 = 3*s + 2*s + 3*z + 13, k*s = -z - 7. What is the units digit of (s - 1)*-3 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 + 2. Let w be k(-5). Let l be 3 + (-8794)\/(-4 + w). Round l to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/1417541 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/49389617?\nAnswer: 6\/49389617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 1, a: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -2, 2, -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106606414 to the nearest integer?\nAnswer: 10325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231345 times 2?\nAnswer: 462690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.1. Let m = g + -0.1. Let k be 10\/(-25) + (-48)\/(-320). Put k, 1, m in increasing order.\nAnswer: k, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 9, -4, -16, 32, 3 in increasing order.\nAnswer: -16, -4, -3, 3, 7, 9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, -0.3, 0.1, 5787 in increasing order.\nAnswer: -36, -0.3, 0.1, 4, 5787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2682 and -35\/10728.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 3, n: 12}. Give prob of picking 1 d and 1 q.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 223*c. Let q(b) = -b. Calculate p(q(t)).\nAnswer: -t**2 + 223*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**5\/3 + 1038*y**4 - 12982*y**3\/3 + 17492*y**2\/3 - 2843*y + 898\/3 = 0.\nAnswer: -449, 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3908055 and -67\/2555.\nAnswer: 27356385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66074 rounded to two dps?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25177591 to the nearest integer?\nAnswer: 5018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1313 (c) -37 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - 4) + -8 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -325\/4. Which is greater: 1\/28 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/7, -1, -1\/8, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 + -8 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.156682 + 11708346.\nAnswer: 11708379.156682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 5450?\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*n - 1558*n - 1715*n + 542*n - 488*n.\nAnswer: -3572*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10 + -5 - (-7 + 10 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 525 + -527. What is the biggest value in d, -5, 10.7?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667216758*y**3 + 107 - 1667216759*y**3 - 52 - 55.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -25. Suppose -b = -s + 25. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -40. Let z(v) = 6*v**2 + 23*v + 3. Is z(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:28 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.001 (b) -198\/245 (c) -82 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/6 - 10*m**3 - 41*m**2\/2 - 31*m\/3 = 0.\nAnswer: -1, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j**5\/9 + 16025840*j**4\/9 - 2006316969506*j**3\/9 - 12374067912448*j**2\/3 - 2020546270586*j - 250826682276 = 0.\nAnswer: -18, -1\/4, 250413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(2\/9))**48\/(r**(6\/5)\/r**(-14)))**(3\/23) assuming r is positive.\nAnswer: r**(1372\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -380 - 55*x + 378 + 5*x in the form k + r*x and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 1 = 0. Let v = -1 + o. What is the third biggest value in v, 1\/4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 15*v - 1 + 1 to the form a + t*v and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -1 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 3*x**2 - 338*x + 6. Let v(z) = 25*z**3 - 35*z**2 - 4050*z + 70. What is -3*v(b) + 35*y(b)?\nAnswer: -5*b**3 + 320*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymaqayqfamyaqqaoqqq. Give prob of sequence ym.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-158)\/10 - 1)*560\/(-168). Calculate the highest common divisor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18*c**3 - 1962*c**2 - 34*c + 3716. Determine n(109).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + n**2 + 2*n**2 - 8*n + 0*n**2.\nAnswer: 3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*t**3 - 1)*(50 - 24 + 18 + (0 + 1 + 0)*(0 + 1 - 3)) + (-2*t**3 + t**3 - 2*t**3)*(0 + 2 + 0) to the form m*t**2 + f + p*t**3 + w*t and give p.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29839729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -704 - -707. Let v(u) = u. Let k be v(-6). Which is the closest to 0? (a) 1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 76 = -4*n, -2*n + 2*x - 21 = 7. Which is the closest to 1? (a) 1 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132.1 - -138. Let w = -7.9 + u. Put -4\/7, w, 1 in descending order.\nAnswer: 1, -4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/7 (b) -4\/5 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13679946 and 62536896.\nAnswer: 437758272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205439040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 14)\/1*(-26)\/52. Let m(h) = 10*h**3 + 8*h**2 + 6*h - 7. Let z(f) = 9*f**3 + 7*f**2 + 5*f - 6. Determine a*m(i) + 7*z(i).\nAnswer: 3*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*s = -0 + 6, 4*z = -s + 14. Let p = -409 - -413. Solve 4*c = z*g + 12, c - 8 = -p*g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 903 and 2003451?\nAnswer: 603038751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieixwiiwwe. What is prob of picking 1 i, 1 x, and 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.5 - -3.5. What is the closest to 0.1 in f, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.57 + 0.55018. Round j to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 341182 or 341304?\nAnswer: 341304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 15*j**2 + 21*j - 10. Let z be m(14). Suppose 14 = -w - i + 35, -z = -4*w - 5*i. Calculate the remainder when 32 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 + -2 + (59 - 52)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681 is divided by 868?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505719, -1011616, -1517691, -2023938, -2530351?\nAnswer: -3036924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 15*y**3 + 0*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7 - 2, -2*t - 17 = 3*y. Suppose -5*s + 4*n = -68, -s - 2*n + 7 + 15 = 0. Let l = s + t. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 42 = 0. Let b(l) = 2*l**2 + 8*l - 2. Calculate the lowest common multiple of y and b(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15164550 divided by -225?\nAnswer: 67398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.145 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2 - 2*x - 1. Let b be 0\/(0\/1 + 2). Suppose -j + b*j + 2 = 0. What is s(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 3500?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8\/6)*(-20)\/(-3). Let u be (8\/6)\/(p\/15)*2. Solve 0 = o - u*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 712 = 3*m + 112, 4*u + 392 = 2*m. Suppose 295 = 3*n + 2*i, 0*n = -2*n - 5*i + m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + -1 + -9 - 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:48 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59913.88 micrometers in centimeters?\nAnswer: 5.991388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Let o be (y - 3)*-1 + -1. Let c = 15 + o. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(24)\/sqrt(96)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(-4 + ((1 + -3*sqrt(80) - sqrt(80)) + sqrt(80))*5)*-2)**2.\nAnswer: -192000*sqrt(5) + 28801600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 6249997.\nAnswer: -131249937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(9\/4)\/k)\/k)\/(k\/k**(1\/15)) assuming k is positive.\nAnswer: k**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2522 - 22696\/9. Which is the closest to 0.2? (a) r (b) -1 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 162*d - 495 = 165*d, 4*z + 5*d + 497 = 0. Which is bigger: -138 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l + 113 = 319. Let d(y) = 5033*y**2 - y + 1. Let g be d(1). Suppose 0 = 2*z + l - 8, -z = -4*w + g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4103.422km to millimeters.\nAnswer: 4103422000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 - 2*w**2 + 2*w + 2. Let v(s) = 266*s**3 - 77*s**2 + 77*s + 77. Let r = 1048 - 894. Give r*f(b) - 4*v(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 - 35716*t**2 - 4493956*t + 33206404 = 0.\nAnswer: -131, 7, 9053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1767479.\nAnswer: -1767479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d*d*d**(-8)\/d)))\/d*d)\/d**8*(d**(2\/19)*d*d)\/d**(-5))\/(d**(-14)\/d*d**4)**(7\/10) assuming d is positive.\nAnswer: d**(-227\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-6)\/(-21) - (-185112)\/(-210)). Is 6*70\/(-15)*u\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0 + 1\/2*w**2 + w - 1\/6*w**3 + w**4. What is d(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**2 + 45*k + 11. Give a(-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.9 - 0.1. Let d = y - -2. Let v = d - -9. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 4*y**2 + 2*y**2)*(-2*y - 3*y + 0*y).\nAnswer: 10*y**3 + 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32\/13, -1\/3, 1\/8.\nAnswer: -32\/13, -1\/3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmjjmmmmjmmmmjj. Give prob of sequence jjm.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09312 rounded to three dps?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - ((63 - 61 - 25) + (15 - -1))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54325452*h**3 - 2*h**2 + 37423599*h wrt h?\nAnswer: -325952712*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 8*f**2 + 14*f - 5. What is u(-5)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185 (base 9) to base 8.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, -4, -2\/11, -491, -1043?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -131? (a) 5 (b) 1\/5 (c) 0 (d) -104\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26bde3 (base 16) to base 7\nAnswer: 30403162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 = 0, -2*p = 3*m + 4550 - 41744. What are the prime factors of p?\nAnswer: 2, 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.087 * 49\nAnswer: -4.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18007 + -9199. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:23 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4667\/(-143) + 41.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*5 + sqrt(91) + sqrt(91))\/(-3*sqrt(28)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75424900, 150849824, 226274748?\nAnswer: 301699672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458187964.\nAnswer: 2, 13, 19, 463753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -4 + (12 - 1 - (-17 + -60 - -83))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011101 (base 2) to base 9.\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n + 25125 = 10*n. Let d be (-15 - 0)\/((-2)\/2). What is the highest common factor of n and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 333 in ascending order.\nAnswer: -3, 5, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.62620327 rounded to one decimal place?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 142476\nAnswer: 5\/142476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -951*v**2 + 772*v**2 + 563*v**2 - 2*v to the form c*v**2 + p + z*v and give c.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57200 plus 0.013?\nAnswer: 57200.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127\/208 + 73949\/120432. Sort g, 3, 11\/5 in ascending order.\nAnswer: g, 11\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21280 divided by -10640.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k + 0*k + 0*k)*(33 + 3 + 20) + 2*k - 4*k - 1 + 3*k to the form i*k + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -435182\/471 + 1503\/314. Let n = -933 - k. Let s = -867\/2 - -405. Find the common denominator of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136.1 and 0.3.\nAnswer: 40.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, e: 9}. Give prob of sequence ee.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3813991?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 3*h**3 - 4*h**3 + 0*h**3 - 3*h**3 + 2*h**3 + (1 - 1 + 2*h**3)*(2 - 3 + 0) + 45*h**2 - 45*h**2 + 23*h**3.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -30 (b) -101 (c) -16119 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15863261 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/(j**(-1\/2)\/j))\/j*j))**(-20\/9)\/(j*j**(2\/21)*j\/((j\/j**32)\/j)) assuming j is positive.\nAnswer: j**(-1798\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.111 + 12.689. Let g = v + -13. Which is the third biggest value? (a) -1\/3 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 26*z + 65. Let n be j(23). Let q = -1137 + 1136.7. Suppose m + 0 = -13. Sort q, m, n, 0.5 in descending order.\nAnswer: 0.5, q, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.168 times 4\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(5 + 3 + (sqrt(1088) - sqrt(1088)*2 - sqrt(1088)) - 6*(sqrt(1088) - ((1 + sqrt(1088))*-2 - sqrt(1088)))))**2.\nAnswer: 8320*sqrt(17) + 3677520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159738 divided by -1011.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Suppose 0 = 5*c + 5 - 0. Let w(p) = -p - 5. Let y(g) = c*w(g) - 3*t(g). Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 8, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (160\/12)\/4)*6. Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 44609*j**4 + 915267*j**3 + 1294831*j**2 + 424175*j = 0.\nAnswer: -19, -1, -1\/2, 0, 22325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232122702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*y = 51, 5*p = -4*y + 3*y + 91. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063343 to five decimal places.\nAnswer: -0.00633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r**2 + 2*r + 1. Let n be m(-1). Let q = n + 5. Let d be q*(7\/2 + -3). Which is the smallest value? (a) 0 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 280727*u + 2. Let k(a) = -3*a**2. Determine l(k(f)).\nAnswer: -27*f**4 - 842181*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13456*l**3 - 4141*l**2.\nAnswer: 80736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/120 - q**5\/40 - q**3\/2 - q**2. Let i(g) be the first derivative of s(g). Find the second derivative of i(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3\/3 + 44*g**2\/3 - 4888*g\/3 - 9920\/3 = 0?\nAnswer: -40, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596013711.\nAnswer: 3, 198671237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/143 and 63\/208?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j. Let k(p) = -40*p + 4*p**2 + p**2 + 46*p. Let q(d) = k(d) - 6*w(d). Let i(u) = -14*u**2. Give q(i(s)).\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 - 7388*o - 44256 = 0.\nAnswer: -3688, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - sqrt(425)*3) + sqrt(17))**2 + -1.\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41533 = -73*t + 42336 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(-1 + 1 + 2) - 1 + 1 + 2*o - 4*o + 2*o - 20*o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 1873*r**2 + 112155*r\/4.\nAnswer: r*(r + 15)*(r + 7477)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86 + 158*n + 86)*(-7*n + 4*n + 5*n) as l + g*n + z*n**2 and give z.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185951 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -789, -5952, -11125, -16314, -21525?\n\"Answer: -n**3 + n**2 - 5159*n + 4370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4259\/4 + 1070. Factor -f*y**4 - 9*y**3 + 0 - 9\/4*y**2 + 3\/2*y.\nAnswer: -3*y*(y + 1)**2*(7*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 55 + 141 - 55 + 23 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 8486 - 5*j + j.\nAnswer: -j - 8486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 844468966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*h - 480 = -216*h. Let u(c) = c**3 - c**2 - 4*c + 1. Let a be u(3). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12789 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46 times 0.04?\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1\/3. Let w(c) = -c - 1. Let a be w(-3). Suppose -4*t + 5 = -x + a*x, 3 = -t + 4*x. What is the closest to 1 in r, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 7*j + 7. Calculate the remainder when p(4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276*p**4\/5 - 236*p**3\/5 + 48*p**2\/5.\nAnswer: 4*p**2*(3*p - 1)*(23*p - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 4*m, -2*m = -0*m + 4*a + 12. Let o(u) = 29*u + 3*u - 32*u + 4*u**m. Let b(f) = -3*f - f + 3*f. Calculate o(b(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 19. Let z(c) = 7*c - 37. Let l(b) = 11*r(b) + 6*z(b). Suppose -13*o - o - 280 = 14*o. Determine l(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d = -56*d - 60630. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*a - 20 = -2, 4*b + 3*a = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, h: 3, l: 1, e: 2, x: 3}. Give prob of picking 1 x and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6 + 3\/6*-6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 1, -1, -5, -0.1711, 8\/9, 5?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 116\/(-16) - (-4)\/16. Let n(x) = -66*x - 30. Let r be n(y). Suppose -2*u = 4*m - 288, u + 2*u = -4*m + r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. Let m(c) = c + 4. Let p(r) = -r - 5. Let g(t) = -7*m(t) - 6*p(t). Let j be g(-3). Solve 3*z + j*d + 34 = 0, -y*z - 5 = z - 2*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 8, b: 5, n: 2, c: 3, y: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -10, -23, -2 in ascending order.\nAnswer: -23, -10, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2170 + 2169. Let b(i) = i**3 + 1. Let z(q) = -3*q**3 - 3*q**2 - 2*q + 5. What is u*z(c) + 5*b(c)?\nAnswer: 8*c**3 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724.6 millennia to months.\nAnswer: 8695200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16966 is divided by 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52116 or 52191?\nAnswer: 52116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2907.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 - q - 1. Let s(d) = -2*d + 12. Let f be s(-9). Let y be (3 - f\/14)\/((-2)\/112). Let o = -53 - y. What is c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/21*(-63)\/18. Let d(l) = -l**3 - 6*l**2 - 6*l. Let o(s) be the second derivative of s**5\/20 + 11*s**4\/12 + 11*s**3\/6 - 9*s. Give b*o(f) - 11*d(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1705 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339 + -138. Suppose -7*j - 86 = h. Let g = j + 201. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*c + 291, -4*y + 4*c + 589 = 3*c. Let d = -25834\/9 + 2863. What is the common denominator of (38\/8)\/(63\/y) and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4326 and 5562.\nAnswer: 38934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/170 and -169\/90?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/96 and -29\/2448.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 minus 223?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 1, s: 2, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 2*s + 4. Let i(w) = 4*w**2 + 2*w + 5. Calculate -5*i(p) + 6*v(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 9*j + 14. Let k be t(-7). Let b be (-3 - -5)*1\/2. Let h = b - 1. Solve -s + h*s - 4 = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 2*sqrt(204))\/sqrt(12) - ((sqrt(68)\/sqrt(4))**2 + -2).\nAnswer: -15 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(-3))\/(4\/(-996)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487 - 911. Let l = -429 - w. What is the third smallest value in 0, l, -1, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 12*y + 0*y**2 - 3*y**2 + 2*y**2 to the form t*y + v*y**2 + k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(182)*-2)\/sqrt(7))\/((sqrt(132)\/sqrt(96))\/sqrt(11)) + -5.\nAnswer: -16*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 84583268 divided by -3844694\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 231*l**5\/20 - 542*l**3\/3 + 21*l + 20. Find the second derivative of g(n) wrt n.\nAnswer: 1386*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence affa when four letters picked without replacement from alifvaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 28. Suppose -i - 2*i + w = 0. Suppose g - 7 = -3*t, -i*g + g = 4*t - 28. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*f*h - 5*d**3*f + 34*d**3*h + 5*f - 2*h wrt h?\nAnswer: d**3*f + 34*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18586?\nAnswer: -18586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4871*j**2 - 1469*j**2 + 1650*j**2 as x*j + m + z*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 174, 262, 368, 498, 658?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.6. Let t = v + -1.6. Which is the third smallest value? (a) 1\/3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12290, 12304, 12336, 12392, 12478, 12600, 12764?\nAnswer: 12976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 737 = -13*t. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -381610485*v - 491488966 wrt v.\nAnswer: -381610485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190976 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 5. Let o be k(-6). Sort 5, 0, o.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 7*b**2 + 66*b - 20. Let n be z(-5). Let p(v) = 5*v**2 - 14*v + 14. Let l(c) = -2*c**2 + 5*c - 5. What is n*p(q) - 11*l(q)?\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 60*s + 954 = 63*s, 2*m = 4*s + 982. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + (-597)\/9. Let o = -30 - z. What is the remainder when o is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5*p)*(-21*p + 26*p + 8*p) - 41 + 41 - 36*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 2 + 6)*(13*m**3 - 224*m**5 + 226*m**5 + 628*m**3).\nAnswer: -2*m**5 - 641*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 18*u - 0*u. Suppose -u*k + 17 = -73. What is the highest common factor of k and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2593995 divided by 15\nAnswer: 172933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4 - 1281*f**3 - 1331559*f**2 - 230227515*f - 6048885600 = 0. What is f?\nAnswer: -255, -32, 969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:05 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.939 + -140.499. Let o = b - -133. Let d = o + 38.66. What is d rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2*4)\/(76\/(-57)). Differentiate -6*l - g*l + 38*l + 90 + 15*l with respect to l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - 32. Let q be (-1 - 1)*(-7)\/o - 20. Let i = -169\/9 - q. Which is the closest to 0.03? (a) i (b) -0.5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from memmmemeemmmeeemeeee. What is prob of sequence emem?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (3 - (-7 + (-3 + 2 - -24)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 1 + 114 = -110 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6*j = -2. Suppose -j*u - 2*u + 20 = 0. Suppose -30 = 3*x - 8*x + 5*i, -2*i = 4. Solve -7 = -u*t + 2*v + 4, x*t = -2*v - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2\/11 (c) 1\/4 (d) -0.3 (e) -7 (f) -11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - (-436)\/(5 + -1) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403 + 408. What is the closest to 4 in y, -2\/11, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (3 - (1 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 70*t - 66. Let u be z(1). Solve -u*k - 2*k = -24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -43*w**2 + 2*w - 584. Let c(p) = -11*p**2. Calculate u(c(q)).\nAnswer: -5203*q**4 - 22*q**2 - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*95\/38*7\/(140\/88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 4*m + 1. Let d be w(5). Does 10 divide (d\/(-1))\/(3\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123006 and -65.\nAnswer: -7995390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/39463?\nAnswer: -10\/39463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44.4 - 44. Let a = -0.6 - -2.6. Put a, r, 0 in descending order.\nAnswer: a, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from umlhuuouohmmuuuoom?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 665*k**2 + 4387*k - 144107. Give c(-658).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 + 5*h + 3. Suppose -6*s + 177 - 153 = 0. What is x(s)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(-196)\/(-5831)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 7, s: 3, g: 1}. Give prob of sequence tt.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -4. Let s(g) = -2*g**2 - 7*g + 2*g**2 + 4 - g**2. Let w be s(-4). Calculate the greatest common factor of w and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.841782 weeks to microseconds.\nAnswer: 509109753600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 5. Let j = w + 13. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*p - 3. Find the third derivative of -38*n**2 + 4*n**p - 21*n**3 + n**3 - 3*n**3 wrt n.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4796\/(-6)*2\/(-4). Let t = 396 - b. Is -4 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1715*o*w**3 + 2*o*w**2 - 109*o*y - 4*o - 10*w**3*y + 384*w**2*y + 12*w + 4 wrt y?\nAnswer: -109*o - 10*w**3 + 384*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-123)\/(-39) - (3 - 0). Suppose -5 = 5*y - 5*t, 6*y + 4*t = 9*y + 6. Which is the biggest value? (a) -0.2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let l = -0.82 - -1. Let d = 0.08 - l. What is the smallest value in d, -1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 50, -2\/17, 2, -1\/4, 7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4\/3 in decreasing order.\nAnswer: 3, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286 - m - 367 - 263.\nAnswer: -m - 916","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3\/6)\/(-1). Suppose d = 2*k - y - 14, -3*k - 2 = -y - 24. Suppose -k*l + 10*l = 6. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 621 + 12 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w - 207. Give t(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4568 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 10 - 3*w)*(2*w**2 + 3 - 3).\nAnswer: -6*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 10*k**2 - 6*k + 3. Let a be x(-9). Let b = -14 - a. Suppose 7*f = b*f - 153. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1155178 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113891, -113903, -113915?\n\"Answer: -12*z - 113879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 86389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 37*y**2. Let n(h) = 111*h**2 - 1. What is -11*d(s) + 4*n(s)?\nAnswer: 37*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*f + 32*f - 1244*f**2 - 5*f**4 + 1243*f**2 + 36*f**4 wrt f.\nAnswer: 372*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g - 520 = -119*g - 123*g - 2830 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a decade in years?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-4*(43125\/(-2250))\/(5\/9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190202 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/17 + 154*r**2\/17 + 728*r\/17 + 576\/17 = 0. Calculate r.\nAnswer: -72, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 - -1211?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.2 + 19. Let t = b - -0.19999905. What is t rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - 2*d - 3*d + 2 in the form h + c*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -326076, -652157, -978246, -1304343, -1630448, -1956561?\n\"Answer: -4*b**2 - 326069*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61602, 1\/25, 8.\nAnswer: -61602, 1\/25, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 34 = -3*n - 2*g, -n = 3*g - 6. Let v = -5 + n. Suppose -13 = v*i + a, 0*a = -5*i - 4*a - 8. Sort i, 2, 0.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4 - 130\/32). What is the highest common divisor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.75 - -14. Let w = -0.25 + v. Let j = 3.98 + 0.02. Which is the nearest to -1? (a) j (b) w (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 154 = 5*s. Let t = -30 - s. Differentiate 13*m - t*m - 7 - 5*m - 15*m**3 with respect to m.\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 3*d**4 + 1733 - 2*d**3 - 1781 to the form t*d + s*d**2 + w*d**3 + z*d**4 + n and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -335243*i + 335257*i - 406 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237168 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4330174954?\nAnswer: 2, 7, 47, 6580813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 23. Suppose -3*n = -y - 5*n + 1, 0 = -2*y - 5*n + s. Is -7 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111012 (base 3) in base 8?\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2015*s**4 - 4*s**3 - 59863*s**2 wrt s.\nAnswer: 48360*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 113*d - 55. Let o be 340\/90 + (-2)\/(-9). Is k(o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q*q**1)*q\/(q*q\/q**(-6))*q**(4\/3)*q)\/((q**1)**(19\/4)*q*q**(-9)*q*q*q\/(q**(-2\/29)\/q)) assuming q is positive.\nAnswer: q**(-3301\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + -2*sqrt(78))\/sqrt(2))\/(2*sqrt(432)) - ((-4*sqrt(1053)*-2 - sqrt(1053))**2 + -2)) + 3.\nAnswer: -51592 - sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:47 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1051654 divided by 36\nAnswer: -525827\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.520745 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = s, -3*s + 3 = 2*x - 4. Let r be (-2)\/4 - (-1 - x). Does -2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1247.88 + -1276. Let v = 28 + b. Let h = -0.015 + v. Round h to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715 - 603. Calculate the greatest common factor of 189 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 6. Let y = -0.1628 + 0.0628. What is the third smallest value in -4\/3, y, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:56 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 + 251 = 57*u. Suppose -a = -4*q - 1715, 0 = -2*q - u + 8. List the prime factors of a.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*h - 566*h - 7951 = -25906 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 - -0.19. Let p = w - 0.04. Let h = -152 - -156. Which is the closest to 1? (a) p (b) h (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from sgwgpgwggwscggss?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 299800167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151144097 is divided by 2957?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 - s**3 + 3*s + 5*s**2 - 4*s**2 - 3 + 3*s**4 as k*s**4 + n*s + o*s**2 + j*s**3 + t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * 17.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:04 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10*k + 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in 2\/15, -4\/5, -0.13, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(8) + -4 + -2 + -4)**2.\nAnswer: -20*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-5))\/(27\/((-96390)\/14)*3).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3757907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202020 - 1?\nAnswer: -202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 + 3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2862 or -2863?\nAnswer: -2862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 333*f**2 - 7*f - 13. Let h(y) = -330*y**2 + 7*y + 12. Let p(c) = -7*h(c) - 6*n(c). What is the second derivative of p(r) wrt r?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 10. Let i be p(7). What is the second derivative of 0*f**3 + 52*f + 0*f**i - 53*f + f**5 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010110100001 + 11001110?\nAnswer: 10000011001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b + 3*b - 9*b - 7*b + 24*b + 25*b**2.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3826\/21 + 6427\/21. Find j such that m*j**3 + 12\/7 + 663\/7*j**2 - 192\/7*j = 0.\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 4 = 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 25, 25, 9, -29, -95, -195?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 12, 2*v - p + 11 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81, -79, -77?\n\"Answer: 2*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3208 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16578764.\nAnswer: 2, 59, 70249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 9 = -2*l - w, 0 = 3*l - 4*w - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4411 - -1512. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u - 1. Let k(i) = 2*i**3 - 8*i**2 + 8*i - 84. What is -k(r) + 6*l(r)?\nAnswer: -2*r**3 + 2*r**2 - 2*r + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -7*t**4\/4 + 2*t**3\/3 - 5*t**2\/2 + 7*t + 9. Let m(n) = -8*n**3 + 2*n**2 - 6*n + 8. Give -5*m(p) + 6*u(p).\nAnswer: -2*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.03, -1, 130, -2 in ascending order.\nAnswer: -5, -2, -1, -0.03, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 49278*p**3 - 303860294*p**2 - 3943829274*p - 12128797520 = 0. What is p?\nAnswer: -12313, -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkktttkkkk.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2162733 divided by -5\nAnswer: 2162733\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 10*b + 7 + 7*b - 1. Let n = 8 - 13. Give s(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3369 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 209228261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -823*-0.5.\nAnswer: 411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*a + h + 10, -3*h = -5*a + 48. Solve a = 2*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 954*m + 234. Is 42 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 53. Let a be (5 - 1) + -7*2. Let o = a - -28. Solve 16 = 4*g + 4*y, 5*g + 3*y - o = -s*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 + 577. Calculate the greatest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 + 2*m + 3. Let p be n(4). Let x = 8 + p. Solve -x*r - 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961443627?\nAnswer: 11, 13, 379, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 22 - 7. Let j(t) = -3*t**2 - 27*t + 6. Let c be j(-9). Suppose -68 = -10*p + c*p. Solve -n - 1 = h*v, -2*n - 3*n = 4*v - p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.59919 + 7.\nAnswer: -39.59919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81597736.\nAnswer: 2, 11, 419, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 132, 532, 932, 1332?\n\"Answer: 400*q - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12461574 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 21. Suppose -2*c = -b - n, 2*c + 3 = -0*c + 5*b. What is the greatest common factor of c and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 285500.9 meters?\nAnswer: 285500900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1062045, 1061495, 1060579, 1059297, 1057649, 1055635, 1053255?\n\"Answer: -183*l**2 - l + 1062229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let p(v) = -2*v + 1. Let j be p(-3). Let q = 12 - j. Let f(k) = -3*k**2 - k**2 + q*k**2. Calculate f(h(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 31*k**3 - 40*k**2 - 15*k + 115. Let z(l) = -22*l**3 + 27*l**2 + 10*l - 76. Let i(j) = -5*c(j) - 7*z(j). Give i(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 19. Suppose -10 - 2 = -3*v. Suppose 7 = 4*a + v*g - 1, 0 = -3*g + 6. What is the remainder when 93 is divided by p(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 545629.8nm?\nAnswer: 0.0005456298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (20 + 13)) + 3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 - y + 6. Let t(f) = 21*f**2 + 4*f - 30. Let k(p) = -2*t(p) - 11*x(p). Let m be k(-4). What is the units digit of (m - 6)\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 389*b**4\/12 - b**3\/3 - 373*b**2\/2 + 6*b - 23. What is the second derivative of g(d) wrt d?\nAnswer: 778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6342 is divided by 1347.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29517, -30397, -31277, -32157?\nAnswer: -33037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37420.9l?\nAnswer: 37420900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4282728?\nAnswer: 2, 3, 178447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 44. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02365 and -3.\nAnswer: -3.02365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o. Let x be (-22*3\/2)\/(6\/(-4)). Let b(m) = 4*m - 22 + x. Give b(f(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593370341 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15559202\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i. Suppose 0*u + 3*u = -g, g - 3*u - 6 = 0. Let s(t) = -t - g*t + 3*t. Let r(z) = -3*d(z) + 16*s(z). Let k(a) = 2*a. Calculate r(k(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + 9*w + 2*w)*(5 - 4 - 3) + (-2 - 3 + 6)*(-1 + 1 + 2*w) + 3*w + 3*w - 5*w)*((-w + 0 + 0)*(2*w + w - 4*w) - w**2 - w**2 + 3*w**2 + 0*w - w**2 + 0*w).\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 2.1. Let s = -1.90044 - h. Round s to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, -3\/4, -3.2, 107, 0.5, 5\/6?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 14\/(-12) + (-40)\/(-5040)*1533.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -164 times -7.9\nAnswer: 1295.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let q(c) = 11. Let w(z) = -9. Let f(u) = -4*q(u) - 5*w(u). Let v(r) = 90*r - 30. Let x(m) = 30*f(m) + v(m). What is x(a(t))?\nAnswer: -90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*f + 82 = -2*f, -4*q = -f - 200. What is the remainder when q is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159718*q**3 - 3*q**2 - 45814*q + 6 wrt q?\nAnswer: -958308*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1056 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b628 + 0?\nAnswer: 7b628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 0 + 2 + 2 - 5. Let f(z) = -14*z + 2. Let p = 21 + 3. Suppose 2*s = -s + p. What is s*t(l) + 3*f(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q - 4765 - 4768 + 85*q + 9533.\nAnswer: 147*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(63)\/(sqrt(3)*-1))\/(-1*sqrt(343) - sqrt(343)).\nAnswer: sqrt(3)\/14 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.730668 to three decimal places.\nAnswer: -22.731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 11*o - 3. Let v(g) = 2*g**2 + 10*g + 4. Let u(j) = -4*t(j) - 5*v(j). Determine i, given that u(i) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414292.67ms in weeks?\nAnswer: 0.002338446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tititttiii. Give prob of picking 2 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 0.4, -5, 3, 4.\nAnswer: -5, 0.28, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + m = 40, 1 - 99 = -5*s - 2*m. Suppose -p + 24 = 2*p. What is the remainder when s is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1377, 5525, 12439, 22119, 34565?\n\"Answer: 1383*g**2 - g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4840290 divided by -30\nAnswer: -161343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 2, 3 in ascending order.\nAnswer: -2, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 1446 in ascending order.\nAnswer: -0.3, 0, 1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*v + 73*r - 103 = 200*v + 75*r, -4*v = -2*r - 96 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from gegg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 80496209?\nAnswer: 321984836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = -t, t + 13*m = 8*m + 38. Solve -g - 5*r = -11, -27 = t*g - 2*r - 3*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26\/211 + 12209\/1477. Find the common denominator of 5\/19 and x.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1929 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 580 = 7*g. Suppose -2*j = -5*o - 0*j - 136, 4*o + 2*j = -g. What is the units digit of 1\/((-58)\/o - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26273\/6 - 4395. Let m be ((-10)\/420)\/(8\/509). Let k = -11\/112 - m. Calculate the common denominator of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -101010?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224)*-3 - sqrt(1224)) + sqrt(34))\/(sqrt(6)\/(sqrt(3) + -3*sqrt(3) - sqrt(3) - sqrt(3))).\nAnswer: 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**5 + 0*r**4 - 3\/2*r**2 - 161\/3*r**6 + 0*r - 11\/3*r**3 - 260. Find the third derivative of i(b) wrt b.\nAnswer: -19320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 16*d - 36. Let m be r(-18). Suppose -u - 2*n + 4 = m, 0 = 5*u + 3*n - 33 + 6. Suppose 4*a = u*a - 118. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 185 = -5*u, u + a - 6*a = 64. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 122, 204, 306, 434?\n\"Answer: c**3 + c**2 + 58*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*3 + sqrt(275)*-1.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Let z = -144258\/18445 + -4\/527. Let q = z + 52\/7. Which is bigger: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395293021 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 153626 = 9*s, 193*s - 2*d = 198*s - 85386. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(10\/(-4) + (-234)\/(-52)). Let z be (-21)\/(-12) - 15\/20. Solve c = -f + 2*a - 4, a = -z + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/18876 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(13) + sqrt(13)*-2)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000397 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37629\/380 - -121\/95. Is d greater than or equal to -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -4)\/(-45))\/2*6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l + 8. Let k be n(7). Sort k, 3, -3.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 244\/1069 - 2550204\/7483. Let s = 48037\/140 + u. Calculate the common denominator of s and 103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*s - 104, -d = -2*d + 3*s - 72. Let k = d + 65. Which is the smallest value? (a) 0.3 (b) k (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 31*k**3 + 2*k - 1. Let a be h(1). Suppose 2*n + 38 = 4*n. Let j = a - n. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -26. Suppose -i = -k - 3*k. Suppose k*d = 4*d - 32. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - (12 + 19)) - -16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173914 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 4, i: 2, m: 1, r: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o + 5 - 7\/6*o**3 + 9\/4*o**2. Factor v(w).\nAnswer: -(w - 1)*(7*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 381\/(-9525)*350 + (14\/(-1))\/2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) 1\/4 (c) 3\/5 (d) 2\/227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3\/23114216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 15*x + 14418. Calculate v(89).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let i = -6 - -0.7. Let v = -5 - i. Which is the second smallest value? (a) v (b) 3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 120*a - 499. Determine z(-3).\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y - 24*y + 2*y**4 + 32 + 40*y to the form v*y + x*y**4 + f*y**2 + u*y**3 + j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/13 (b) -2\/7 (c) -9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - q - 9, 6*w - 10*w - 2*q + 2 = 0. Suppose 3*i + 4*t - 149 = 0, -9*t = w*i - 7*t - 96. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 5*d**2 - 7*d - 4. Let g be n(6). Let z = 12 + g. Suppose 8 = t - 5*p, -2*p - 16 = -z*t + p. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:28 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11104, -10761, -9848, -8083, -5184, -869, 5144?\nAnswer: 13137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*j**4 - 19*j + 20*j + 26 - 64*j**3 + 19*j**4 wrt j?\nAnswer: 12*j**2 - 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**4 - k**2 - k - 2. Let z(y) = 18*y**4 + 30*y**3 + 54*y**2 + 35*y + 26. Let h(n) = 44*a(n) + 4*z(n). Factor h(b).\nAnswer: 4*(b + 1)**2*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 156332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s - 443 - 457 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396\/(-22) + 30601 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552478410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317961901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-595)\/(-850) - (-4575)\/(-7250)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/895 + -58169\/5370. Find the common denominator of 107\/22 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001804343014 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -424 (b) 5 (c) 7 (d) 3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 21709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171126689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -36. Let d = c - -15. Suppose -4*a + 3*z = -5, 4*a - 33 = -4*z + 7. Solve d = -a*x + 32 - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*c**3 + 0 + 3\/4*c - 9\/4*c**4 - 15\/4*c**2.\nAnswer: -3*c*(c - 1)**2*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2795.5 - 2796. Let c = 304\/35 - 42\/5. What is the closest to 0 in -8, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 66503.16ug?\nAnswer: 0.00000006650316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2\/(-1) - -4). Let c = 1 - -1. Solve -2*p + 4*d + c = 0, 3*p + 3 - 16 = -y*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16717*-1.8\nAnswer: -30090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887575 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7560, 15095, 22624, 30147, 37664, 45175, 52680?\nAnswer: 60179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/((-45)\/(-50)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 - 7.5. Let w(a) = a**3 - 5*a**2 - 6*a + 3. Let y be w(6). Let j be (-2)\/63*(0 - y). What is the nearest to -2\/7 in i, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2700) - sqrt(2700)) + sqrt(2700) + 5 + -3*sqrt(27) + (3 + -2 + sqrt(81)\/sqrt(3))*-1)**2.\nAnswer: -336*sqrt(3) + 5308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 - -0.4. Let z = 1471 + -1470. Which is the nearest to 1? (a) -5 (b) -2 (c) z (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/64*(52 - (-2 - -6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 - (1 - (1 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.1 and 3.\nAnswer: 57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**2 - 6*v - 26 + 22 + 18*v. Let r(j) = 7*j**2 - 12*j + 4. Let z(o) = -6*c(o) - 5*r(o). Let w be z(12). Solve -g - 6 = -w*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 w when four letters picked without replacement from wcccwcwhc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 - 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 29. Let b be v(10). Let w = b + 109. Solve 2*p - w - 2 = 2*s, -s = 5*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k - 50. Find the first derivative of 6 + 10*w - 4*w**2 - k*w wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/301967 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2\/65, -0.05, -3\/5, -1959?\nAnswer: -1959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 m when four letters picked without replacement from mmgnnkggg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c + 17. Let m = -1051 - -1058. Determine k(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3956)\/772 - -3 - -2. Let u = -8201\/2316 - d. Calculate the common denominator of u and (-4 + 4440\/1100)\/(3\/25).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2118 + 2162 + (-30 - (-4 - -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/11232 and -97\/26208?\nAnswer: 78624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:43 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13954561?\nAnswer: 13954561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2 - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5 + 174*o**4 - 2914*o**3 - 22406*o**2 - 35364*o - 16048 = 0?\nAnswer: -4, -1, 34, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**3\/6 + 7*x**2\/2 - 2*x. Let f(k) = -2*k + 3. Let h = 1 - 10. Let t = -7 - -11. Calculate h*f(q) + t*s(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -579, -1475, -2729, -4341?\n\"Answer: -179*j**2 - j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 187?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16497, -29, -48 in increasing order.\nAnswer: -16497, -48, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let k(z) = 2*z + 16. Calculate t(k(q)).\nAnswer: -8*q**2 - 128*q - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -5 - (-2 + (-2 - -2)). Put q, -5, -3 in increasing order.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r**(8\/3))\/((r\/(r*(r\/(r\/(r**(-2\/19)*r)))\/r))\/(r*r\/r**(2\/19)))*(r\/r**(-1\/13))\/((r*r**(-1\/15))\/r)*(r**2)**(-7) assuming r is positive.\nAnswer: r**(-8316\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85506487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 19*l + 14. Let i be s(18). What are the prime factors of (-8)\/i + 399\/12?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from eeeewweweewwe.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848089?\nAnswer: 151, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13 - u**2 + 0*u - 3*u + 15 + 0*u**2. Let b be n(-3). Solve 5*z + 0*h - 5*h = 5, -z + b*h = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82218 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1905*f**2. Let q(a) = 3*a**2. What is k(q(n))?\nAnswer: -17145*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.367 - 0.467. Which is the closest to 2\/5? (a) 0.1 (b) -3 (c) -2\/21 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 176634.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -663 - 407.\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 259, 5, 4, -3 in decreasing order.\nAnswer: 259, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5*d + 9. Suppose 83*m - 82*m = -5. Let n be t(m). Let x(y) = -y**3 + 8*y**2 + 8*y + 10. Calculate x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010100100 + 1?\nAnswer: 1111010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243\/(-36) - -7 - 3262\/(-8)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by ((-104)\/364)\/((-4)\/1526).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-3))\/((-8)\/(-884)). Let r = h + -111. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 + 5*j**2 - 2. Let v(w) = -8 - 2*w**3 + 14*w**2 + 16*w**3 + 3. Give -11*a(y) + 4*v(y).\nAnswer: y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*p - 4*f - 21, 5 = -p - 2*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 13*d**2 - 25*d - 27. Give w(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9819842477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 56. Put 3, 2, h, -9 in increasing order.\nAnswer: -9, h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-11778)\/(-1359))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975441 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: Evaluate (-4)\/(-6)*(486\/(-48))\/(-27).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2868608073 - 2868608127.30000389. Let p = m + 54.3. Round p to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-122)\/6 - -1)\/((-320)\/94560) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123681 (base 12) to base 4.\nAnswer: -1020120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 6. Let y(g) = -g**3 + 4*g**2 - 2. Let l be y(o). Suppose l*w - 2*n = 3*w + 16, 0 = 5*w - 5*n - 15. Solve 6 = -w*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j + 11. Suppose 228 = 5*g - t, -350 + 114 = -j*g - 3*t. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/582073 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*b - 1 + (-3 - 2*b + 3)*(3 - 2 + 1) + 2*b + 1 - 1 in the form g*b + y and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 63*t + 832. Give i(-53).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 45855, -5 in ascending order.\nAnswer: -5, 6, 45855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 6. Let y(a) = -3*a + 19. Let d be y(-5). Suppose -60 = -3*q + 2*p, q + 8*p = 4*p + d. Calculate the remainder when q is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5739 is divided by 101?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 39*r**2 - 164*r + 327. Calculate t(-43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1)\/(sqrt(196)*-3)*-2*1.\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 866949389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*v + 16*v + 16*v. Let l = -40\/19 + 1421\/684. Is v <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189\/8 <= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -183, -185, -187, -189, -191?\n\"Answer: -2*m - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - x**3 + 2*x**3 + (42*x + 10*x**2 - 42*x)*(x + 3*x - 2*x).\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 333)*(-3)\/(-6). Let o = 141 + b. What is the highest common factor of 28 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3)\/((-1 + 2)\/(-13))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2\/5 - 118938*l\/5 + 1178853987\/5 = 0.\nAnswer: 19823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/46? (a) -1 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 + o - 101 - 4*o + 2*o + 2*o**2 - 130 + 45*o.\nAnswer: 2*o**2 + 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:52 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.11 + 66.81. Let b = p + -62. Let a = -18.7 - -18. What is the nearest to -0.1 in 0, a, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 3, -4, -111\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1b586?\nAnswer: -1b581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6395 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-252)*(-201)\/536.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2736*f - 2426 wrt f.\nAnswer: 2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:07 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 652, 5, -7, 2, -23 in increasing order.\nAnswer: -23, -7, 0, 2, 5, 20, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 + i**3 + 4*i**2 - 16*i. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9864774.\nAnswer: 2, 3, 182681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - -52. Let j = m - 60. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 197*p - 48*p - 49*p - 47*p - 48*p.\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*q + 10, 8*s - 7*s + 5*q + 14 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.368 - 0.078. Let l = -97.29 + x. Let o = l + 95.807. What is o rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1\/8)\/p)\/(p\/(p*p**(1\/4))))\/(p**(-2\/7))**(-4) assuming p is positive.\nAnswer: p**(-1\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 13*l - 2*l + 9*l + 1 + 1 in the form h*l + j and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 47*s - 179. Let k be q(-41). Let z = k + -64. Solve -d + 5 - z = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqgm when four letters picked without replacement from ggmqmqmqmgmqq?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -16 + 69 - 60?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -913*s**3 - 2*s**2 + 3*s + 3. Is g(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9796160 and 145\/4408272.\nAnswer: 88165440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 - 5*w + 4. What is the smallest common multiple of 4*5*12\/40 and y(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3349 and 660?\nAnswer: 2210340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029272 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037359 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -g + 3 + 3, 8 = 2*g. Let o(j) = 4*j**2 - 2*j - 6. Let m(l) = -3*l**2 + 3*l + 6. Let f(i) = s*o(i) + 3*m(i). What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.9, 2580, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/2*6. Suppose -o = 2*d - 0. Sort d, 1, 2\/15 in increasing order.\nAnswer: d, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 19*r + 57. Let l be z(-4). Let h(f) = -38*f + 7. What is h(l)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -9. Suppose -5*c - n = -2*y, -4*c = -3*y - y + 12. What is the first derivative of 2 - 4*l**3 + y*l**3 + 0*l**3 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*s - 278*s = 360. Put 34, -3, s, 0 in increasing order.\nAnswer: -3, 0, s, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f + 85. Let p(y) = -50*y + 284. Let m(d) = 8*p(d) - 27*v(d). Calculate m(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -4*m**4\/3 + 82*m. Let a(h) = 5*h. Calculate w(a(t)).\nAnswer: -400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47770312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let g(z) = -9*z + 7*z**2 + z**2 + 9*z. Determine g(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -8. Suppose 4*k - 6*k = -4. Suppose 0 = -m + 4*r + s, 0*r = k*m - 3*r - 18. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*a*l**5 - a*l + 6*a - 4*l**2 - 10*l wrt l.\nAnswer: 1060*a*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/4) - ((-4 - -14) + -4). Let i = 13 + -27. Sort i, -1, g in descending order.\nAnswer: -1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/(-238)*(-30)\/(-25))\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)*(4 - -1). Let p = -5 - -5. Suppose -3*j - d + 17 = 0, -2*j = l*d - p + 6. Solve -2*i + j*i = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(325) + 5)*5)**2.\nAnswer: -1250*sqrt(13) + 8750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 3*r + 6 - 2. Suppose -6*m = -m. Let l be u(m). Solve 6 = l*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/8*8*(-5)\/(-75). Let m = 0 - 1. Which is the third smallest value? (a) f (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 4 + 10*o - 62146*o**3 + 61944*o**3.\nAnswer: -202*o**3 + 13*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 8*b**2 + b + 6. Let u be w(-8). Let m = 0 - u. Is 43*(-3)\/(-6)*m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13111415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*g + g = -52, -2*u - 5*g = 52. Let k = u - -27. Calculate the least common multiple of k and 6\/(-21) + (-79)\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 14064076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1799 - 3553\/2. Factor -5\/2*h**2 - t - 15*h.\nAnswer: -5*(h + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 2, c: 1, k: 1, i: 2}. What is prob of picking 1 k, 1 c, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 42\/8557.\nAnswer: -1, 42\/8557, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1224)\/21)\/8 + 0 + 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*h**3 - 12731*a*h**2 + 62*a*h*l - 6*a*l**2 - 2*a*l + 20*h**3*l**2 - 2*h*l - 13 wrt h?\nAnswer: -12*a*h - 25462*a + 120*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 24. Factor 4*q**5 + 3*q**4 + 1 - 2*q + 5*q - 6*q**3 + 2 - 6*q**2 - q**u.\nAnswer: 3*(q - 1)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2174 - 882*t - 1086 - 1088.\nAnswer: -882*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2384 - 1?\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10629)\/28344*1*-72.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 19*b + 4*r + 8, -5*r - 60 = -5*b. Let w be (0 - -6)*4\/b. Solve -3*t + 0*t + 9 = -3*a, 4*t - 9 = w*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504353.\nAnswer: 504353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/9 + 12307048*u\/9 + 9466464404644\/9.\nAnswer: 4*(u + 1538381)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000052 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*n + 18 = i, -2*n = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - a. Let u(n) = 5*n**2 - 17*n - 2. Determine -3*k(l) - u(l).\nAnswer: l**2 + 20*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -104*m + 32. Let v be f(-7). Suppose -4*p + 380 = 3*i - i, 0 = -4*i - p + v. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1471161*u**2. Let z(d) = 128*d. Give p(z(m)).\nAnswer: 24103501824*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72)*-1 - sqrt(24)\/(sqrt(12) + sqrt(192)*-3)) + 2 + 3)**2.\nAnswer: -780*sqrt(2)\/11 + 12806\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36816 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (-5 - (-7 + -4)). Is (0 + -2 - -1943) + (5 - x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 4*v**2 - 2*v + 5. Calculate y(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.091982 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-2\/71)*q**(-2\/35)\/(q\/(q*q*q*q*q*q**(-15)\/q*q*q)) assuming q is positive.\nAnswer: q**(-24642\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 3 - 3*h**4 + 3*h**4 - h**3 as j*h**2 + b*h**4 + k + v*h**3 + d*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741 and 936?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/16601 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19026 + 3\nAnswer: -19023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -0*l + 5*h, -3*l - 3 = 2*h. Let j = l - -3. Solve 0 = 3*v + u - 9, -j*v - u + 6 = -3*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/294000 and -149\/6160.\nAnswer: 3234000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {v: 1, a: 9, x: 10}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*1*sqrt(91))\/((sqrt(42) + (sqrt(126)*4 - sqrt(126))\/sqrt(3))\/sqrt(6)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from lallalkglagalkwklkaw?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 29 - (4 - 10 - -25 - 14)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945151832, 945151831, 945151820, 945151793, 945151744, 945151667?\nAnswer: 945151556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1054171 days in microseconds?\nAnswer: 9108037440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2883 - -148.06?\nAnswer: -2734.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c. Suppose 5*l - h = 309, 10*l - 2*h + 53 = 11*l. Let i(w) = 134 + 4*w - 73 - l. Calculate i(y(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 24*c + 127. Let i be s(17). Let o(a) = a**3 - 9*a**2 + 8*a - 8. Calculate o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (-2 + 7 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -1 (b) 0.3 (c) -5 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:08 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.034072 to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h + 2. Let a(d) = -21*d + 5. Suppose 2*l = -164 + 152. Calculate l*a(c) + 13*k(c).\nAnswer: -4*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 160, 1459, 4980, 11833, 23128, 39975, 63484, 94765?\n\"Answer: 185*i**3 + i**2 + i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295973055 divided by -53473.\nAnswer: -5535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k + 4*z - 1496, -5*k = 2*z - 1858. Is k > 370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, m: 5}. What is prob of sequence mz?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:31 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqkqsv. Give prob of picking 1 v and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312322 - -4?\nAnswer: -312314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25\/84 - -1\/21. Let x = -45.3 - -45.5. Which is the third biggest value? (a) x (b) s (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 1265*h**2 - 421805*h - 423065 = 0. Calculate h.\nAnswer: -443, -1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.518 - -1.918. Which is the second biggest value? (a) -10.1 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3276 - -3276. Let c = -7.2 + 1.2. Let o = 2 + c. What is the closest to o in -0.1, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3637 is divided by 161.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let b be v\/((-9)\/(-12) - 0). Put b, -1, 2 in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10010100?\nAnswer: 10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = -1. Let x be b*(-6)\/(-3) + 3*17. Let c = x + -11. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzk when three letters picked without replacement from {z: 2, k: 5, e: 5, d: 1, q: 1, u: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2154683, -2154661, -2154639, -2154617, -2154595?\n\"Answer: 22*g - 2154705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 43*y + 17*y = -132 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 + 6461\/117 + -14. Let m = q - 37. Solve 2*b - 6 = m*y, -2*b + 6 = y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129676446?\nAnswer: 2, 61, 1811, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + sqrt(275) + -2 - (-3 + sqrt(275) + 0)) + 3)**2 - -5*(((sqrt(275) - (-1 + sqrt(275))) + -1)**2 + (sqrt(275)*-2*-5 + sqrt(275))**2).\nAnswer: 40*sqrt(11) + 166666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -15, -17632, 3, -2 in descending order.\nAnswer: 4, 3, 1, -2, -15, -17632","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 96, 143, 174, 183?\n\"Answer: -z**3 + z**2 + 61*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 37*b**3 + 64*b**2 + 17*b - 9. Let k(z) = 13*z**3 + 23*z**2 + 6*z - 3. Let x(t) = 6*d(t) - 17*k(t). Suppose 2*v = -v + 21. Give x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 99, 102, 105, 108, 111?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*x + 2 = -x, 3*z + 39 = 2*x. Suppose -48*k + 50*k = -42. Let d = k - -22. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/315)\/(2\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o - 33. Let a be c(0). Let v = 24 - a. Suppose 800 = 61*k - v*k. What is the remainder when k is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -24317, 2, -2 in increasing order.\nAnswer: -24317, -4, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 4}. Give prob of picking 2 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 3*w**2 + 3*w + 5. Let x = -533 - -536. Let a(k) = 3*k**3 - 4*k**2 + 4*k + 6. Calculate x*a(m) - 4*c(m).\nAnswer: -3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 - 35\/(-154)*451\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p. Let h(a) = -6*a**2 + 5*a. Let z(o) = 15*o - 115. Let m be z(8). What is m*l(b) - h(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-9)*(24246\/(-2694))\/((-2)\/(-2))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -28\/3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 5*k**4 + 3*k**2 + (-k + 2 - 2)*(-3*k**3 - 3*k**3 + 4*k**3) + (2*k - 2*k + k)*(23*k**3 - 1520*k**2 + 1520*k**2) - 5 - 2*k**4 + 5.\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (14 - (-6 - -10)) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = n + y, -2*n = -3*n + 5*y + 60. Calculate the highest common factor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261 + -260.2. Let d = -5.15 - -0.15. What is the smallest value in d, 0.4, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4222, 1\/2, 3, -4, -141\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = 0, -5*m + 8*m = 3*l - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 - 475856*t = 0. What is t?\nAnswer: -118964, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.37162099*0.1\nAnswer: 0.237162099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 207, 423, 731, 1143, 1671, 2327, 3123?\nAnswer: 4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b + 1. Let w(q) = 8*q - 2. Let s(o) = 3*l(o) + 4*w(o). Give s(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -63*j**2\/5 + 807036*j\/5 - 15372 = 0.\nAnswer: 2\/21, 12810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46180, 184465, 414956, 737665, 1152604?\nAnswer: 1659785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - v + 9 = 5*x, -5*v = 2*x + 7. Let j be (-2)\/((-23 - -3)\/x). Let o be (-6 + 258\/45)\/((-30)\/25). Which is the closest to j? (a) -3 (b) o (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -290*y**2 - 874*y\/3 - 4\/3.\nAnswer: -2*(y + 1)*(435*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 6*p - 6. Let x = 96 - 92. Let j be c(x). Let h be ((4 - -2)*1)\/(3\/j). Solve h = -d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 38 = -2*t, 5*t = h + 4573 - 4652 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 2*x, -4 + 16 = -5*y + x. Put 1, 5, y in increasing order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1205337698161\/253707850914 + 3\/90159151. Let o = 7\/201 - d. Let w = 87101\/16 - 5442. Find the common denominator of o and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1088\/7 + -155. Find the common denominator of (-8310)\/(-670) - (-156)\/(-13) and f.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3955*u**3 - 3952*u**3 + 15793*u**3 - 3951*u**3 - 3946*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7394a + -3?\nAnswer: 73947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 3*h**4\/4 + 2*h. Suppose 2*o - 1 = o. List the prime factors of m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.3 (b) 244 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2112?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 71. Let s be h(0). Let r be (-30155)\/(-111) + 4\/(-6). Let i = r + s. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46263836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-5)\/(2 + -1). Let w(u) = u**3 + 4*u**2 - u. Let t be w(q). What is the second derivative of 2*k**4 + 2*k**5 - 2*k**t + 3*k - 2*k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 77*u + 1994 = 0, -5768*u + 5772*u + 98 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2600 minus -10959038?\nAnswer: 10956438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9516*o**3 - 8*o**2 - 36937 wrt o?\nAnswer: 28548*o**2 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*t - 874 = -2*h, -4*h + 12*t - 3 = 11*t + 23 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 11*d + 4. Let f be x(0). Solve 3*n - f = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:17 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/5, 243, -0.3, 0.9, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*h - 7 = 0, h - 13 = -g - 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 22. Let s be g(-25). Let q(f) = -f + 2. Let r be q(s). Which is the fourth biggest value? (a) 0.3 (b) 1\/2 (c) r (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 94171.31 weeks?\nAnswer: 659199.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 602, 1525, 2852, 4583?\n\"Answer: 202*i**2 - 87*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**1)\/(t**0*t)*(((t\/(((t*t*(t\/t**(-10))\/t)\/t)\/t))\/t)\/t)\/(t\/t**(-12)) assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivkfvvjfvjikkfkkfif. Give prob of sequence vji.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - 3*sqrt(140))\/sqrt(1620).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101101010011010 + 110000?\nAnswer: -1000101101001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16639.\nAnswer: 7, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.374 (b) 0.12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73\/8 - 37\/4. What is the third biggest value in 4, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 + 8*l - 4. Suppose 2 = -2*s, 3*v - s = 3*s + 49. Calculate the remainder when g(6) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1. Let r(v) = 29*v**2 + 1. Suppose -2*d - 18 = 0, 15 = -2*h - 4*d - 23. Give h*r(b) - c(b).\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10. Let w be n*2\/12*3. Suppose 2*y - 58 = -w*y. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365903 = -37*v - 119853. What is the smallest common multiple of v and 2?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.030042 - 0.2699605. Let o = j - -0.3. What is o rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4 - 30539592*m + 119102402 wrt m.\nAnswer: 8*m**3 - 30539592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-6 - 3) + 17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 60504*a - 60506*a - 59, 0 = 3*a - 5*j - 41 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-90) - 8\/(-36). Suppose s = -5*o - 3*t + 7637, -12*o - 4*t - 7609 = -17*o. What are the prime factors of o?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + (-8)\/(-4). Suppose 3*l + p + 21 = 0. List the prime factors of 1\/(-1 - l\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let s = 10 + q. Is (-8)\/s - (-82)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 - 72*d**3 - 244*d**2 - 288*d - 112 = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -216034 (base 8) in base 14?\nAnswer: -1c712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-7)*7*1\/(-2). Is p greater than or equal to -75\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/5)))**(-46\/5))**(-6) assuming o is positive.\nAnswer: o**(552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22573.82 millilitres in litres?\nAnswer: 22.57382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 2*n**2 + 2*n + 1. Suppose 4*u - 2 = -6. Let j be q(u). Solve 4*x + 3*y = j, x - 4 = -4*y - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -2832?\nAnswer: -2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/8 - 3381*d\/8 - 1721667\/4.\nAnswer: 3*(d - 1774)*(d + 647)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 126101044 (base 7) to base 6\nAnswer: 450205511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 2*k. Suppose 0 = k*n - 5*j, 6*n - n + 5*j - 10 = 0. Calculate the greatest common divisor of 8 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {i: 6, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1874 + 1225. Let v = -639 - o. Suppose 2*x = -0 + 10. Solve -2*g = -5*q - x, g - 6*q - v = -q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 397*f. Let a(b) = 8*b. What is c(a(y))?\nAnswer: -192*y**2 + 3176*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/965 + -105197\/3860. Let t = -27 - l. What is the nearest to t in -2, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 897 divided by 397\nAnswer: 897\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -42, 0.1 in ascending order.\nAnswer: -42, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, t: 1, p: 3, q: 3, v: 3}. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 498291.5 microseconds?\nAnswer: 498.2915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) 1 (c) 0.11 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -156100 to the nearest one thousand.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -37*l**2 + 116*l**2 + 37*l**2. Let f(w) = -2*w. Calculate z(f(a)).\nAnswer: 464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 4*n**2 + 5*n - 1. Suppose 9*j - 44 - 1 = 0. Suppose -10 - j = -3*q. Calculate u(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 5. Let r be o(5). Suppose 5*z = r*a + 55, 0 = -3*a + 2*a + 3. Let h be (-16)\/(-7) + (-4)\/z. Solve 2*y - 2 = -4*w, 3*y + h*y - 23 = -w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 147, 317, 565, 897?\n\"Answer: w**3 + 30*w**2 + w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 1. Let b be v(0). Let f(p) = 17*p**3 + 2*p**2 - 2*p + 1. Let g be f(b). Is 50\/3 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -76671\/1087?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.24 + -2.74. What is the fourth biggest value in f, -2\/9, 1, 3.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 - 2*a**3 + 3763*a - 1 - 3763*a in the form u*a + r*a**2 + y + i*a**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20419 or 20863?\nAnswer: 20419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**3 + 68*m**3 - 148*m**3 - 20*m to d*m + q*m**2 + u*m**3 + v and give u.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.3 + 0.3. Let h = -12 - -20. Let n = z - h. What is the closest to 1 in 0.2, n, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1*((-2288)\/764 + 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddzlvolvoodd. Give prob of picking 1 z and 1 l.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/9 + 7\/36. Let x = 0.121 + -0.001. What is the closest to x in j, -1\/9, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75c + 6?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8342 + -5833. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22823, 2, -4, -82.\nAnswer: -82, -4, 2, 3, 22823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75469, 604066, 2038819, 4832806, 9439105, 16310794?\n\"Answer: 75513*v**3 + 6*v - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**2 - 14*q**2 + 11*q**3 - 3*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q + 86*q + 415*q - 43945 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (8\/28 - (-54)\/7). Calculate the highest common factor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-15) + 97190\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 - 30 = 6*m. What is the third derivative of 8*y**5 - m*y - 7*y**2 + 17*y**2 - y - 8*y**2 wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-3*w**2 + 4*w**2 + w**2)*(-w + 4 - 3 - w).\nAnswer: 8*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**4\/8 - 11*v**3\/6 + 2*v**2. Let u be o(5). Find the first derivative of -8*n + 5*n**u + 2 + 8*n + 1 wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/20 + -1)\/((-16)\/(-24))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 + 5 = 0. Let s = 8 - x. Put 0.1, 5, s in increasing order.\nAnswer: 0.1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13852568000 rounded to the nearest one million?\nAnswer: -13853000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 0*m - 5*m + 41*m**3.\nAnswer: 41*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 + 2*j - 2. Let a be v(-3). Suppose a = -2*u, 0*z - 3*z - 13 = 5*u. Let r = 8 + z. Solve 0*i = -4*i - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22663659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388698.\nAnswer: 2, 3, 64783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a - -b561a?\nAnswer: b5847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282590998.\nAnswer: 2, 141295499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8775 and 3175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 56 = 34508*h - 34513*h, 4*h - m - 38 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -3, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/20)\/((d**(-2\/33)\/d)\/d))\/(d*d\/(d\/(d\/d**(-12\/5))*d)*d*d)**(-4\/15) assuming d is positive.\nAnswer: d**(11057\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/14*(-27 + 62) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j - 17*j + 118*j**3 + j - 20*j.\nAnswer: 118*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 3:03 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 3}. Give prob of sequence ggq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 24 - 28. Suppose 12*x - 14*x = -d. Suppose x = -f - 5*o, -23 = -5*f + 4*o - 1. Solve -5*y = 5*n - 2*y + f, -3*n + 26 = -5*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d + 945. Let x = d - 71. Suppose m - 79 = -2*m - k, 5*k = 4*m - x. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 68*k. Let x(j) = -29*j**2. Determine n(x(q)).\nAnswer: -1972*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 4. Let p be t(2). Solve -p*v - 3*i = 8, 0*i + 5 = -3*v - i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20*i**2 + 222*i + 347. Calculate g(8).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3554*g**2 - 5*g + 3751. Let z(i) = 3564*i**2 - 4*i + 3750. Let m(k) = 4*q(k) - 5*z(k). What is the first derivative of m(h) wrt h?\nAnswer: -7208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137920972 divided by 9851498?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 3}. Give prob of sequence jx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10236324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18359 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22610 divided by -35\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*12\/18 - (0 - 0). Let q be x - 2\/4 - (-4)\/1. Which is the closest to -1? (a) -1\/7 (b) 24 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1070?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188.93 + 185. Let y = 3.53 + g. What is the third biggest value in y, 0.4, -2\/11, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 4*l**5\/15 - 5*l**2. Let b(h) = -h**2. Give y(b(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -964, -960, -956?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 10. Let z be i(-8). Put -1, -0.4, z in ascending order.\nAnswer: -1, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87498121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*h + 24 = 0, 0 = -v - 0*v - 5*h - 9. Suppose f + v = 5*d - 4, 0 = -4*d + 20. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1816*p**3*s**4 - 1874*p**3*s**2 + 5*p**3 - 9*p**2*s**4 wrt s?\nAnswer: 43584*p**3*s - 216*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 329\/6 - (-2 - (-51)\/18). Suppose 18 = -48*u + o*u. Calculate the smallest common multiple of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1436 - 810. Let z = h - 615. Which is the second biggest value? (a) -2\/7 (b) -3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15 (b) 0 (c) 500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52413479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38969638 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/20 - n**4\/12 - n**3\/6 - n**2\/2 - 8*n. Let j(w) = -3*w**3 - 3*w**2 - w - 2. Let c = -1 + 2. Determine c*j(q) - 2*r(q).\nAnswer: -q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3\/5 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g - 61. Let o be m(-11). Is 45 a factor of (o\/(-10)*-45)\/((-3)\/(-138))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20203, 19953, 19523, 18901, 18075, 17033?\nAnswer: 15763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:05 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274562.49082 + -274565. What is u rounded to 2 dps?\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 3*u**2 - 9*u**2 - 20*u**2 + u**2.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p + 111. Let d = -4475 - -4483. Determine k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1)\/z)**18)**41)**(2\/47) assuming z is positive.\nAnswer: z**(-2952\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714104, -2856432, -6426974, -11425730, -17852700, -25707884?\nAnswer: -34991282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22140674117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - (-4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = -0. Let s(m) = m**3 + 5*m**2 + 4*m - 1. Let f be s(g). Let o(k) = -k**3 + 6*k**2 - 8*k + 7. Determine o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 + 14 = 0. Let s(f) = -f**2 + 6*f - 3. Let h be s(i). Suppose 110 = h*u + 25. Calculate the remainder when 32 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/(-32)*-2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b + 4*b)*(45 - 11 + 46)*((2*b + b - b)*(0 + 2 - 3) + 1 - 1 + b + 2*b - b + b) to v + m*b + z*b**2 and give z.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-2)\/(1 - 0)). Suppose -2 = z, -x + 29*z = 30*z - 37. Suppose x*v = 29*v + 50. Is l greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:01 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 278 + 36 = 22*l. Let h(r) = -31*r + 2. What is the remainder when h(-5) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(105*c**3 + 7847*c**2 - 7847*c**2) + c**3 + 4*c**2 + 2 - 2.\nAnswer: -209*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.2 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2007.417?\nAnswer: -2006.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6693978971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50984?\nAnswer: 2, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/3 - a - 267. Let g(q) = q - 120. Determine g(w(s)).\nAnswer: 2*s - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2078150 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0) + 20 - 1. Let l = -69\/4 + y. Calculate the common denominator of l and (2\/(-7))\/((-234)\/(-4186)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = -5*u, 0 = -2*i + u + 3 + 5. Suppose 3*n - w = 4017, -n + i*w - 188 + 1527 = 0. What are the prime factors of n?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 5)*(-h + h + 2*h**3) - 5*h**2 - 2*h**3 + 5*h**2 + h - 2*h**3 - h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + 0.07. Put d, 5, 1\/3, 2\/15 in descending order.\nAnswer: 5, 1\/3, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81642 (base 9) to base 10\nAnswer: 53741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-164)\/(7\/413*(1 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + (-30)\/(-8). Let i be -4*(l - 6)\/(-6). Let w(s) = -2*s - 3. What is the units digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1914\/104 + 18\/(-117) and (-4)\/(-10) - 516\/140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -0.16, 7, -0.02?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/6716 + (1812\/(-7701))\/(2 - 320\/68)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 12*s**2 + 34*s + 18. Let u be k(7). Calculate the greatest common divisor of 319 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/74, -45\/52, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + 0 + -8 - (6 + 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416445 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*l + 6*f - 46 = 0, -71*f + 1 + 3 = -75*f - 12 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1020121 (base 3) to base 2\nAnswer: 1110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/300 and -59\/11100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let t be w + (-1)\/((-3)\/(-6)). Let h(g) = 11*g**3 + 1. What is h(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8387874, 16775732, 25163590, 33551448, 41939306, 50327164?\nAnswer: 58715022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/3)\/((-483)\/36 - -13). Solve z*d + 2*u - 3 + 5 = 0, -2*d = -u + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 5*o - 13 + (4 - 2 - 1)*(-118 - 2416*o + 118).\nAnswer: -2411*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -438 - -438. Solve 9*f + 4 - 13 = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7797 + 7796. Which is the fifth biggest value? (a) -2\/29 (b) m (c) -0.3 (d) -135 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 711423*q**4 + 12*q**3 - 113088019 wrt q?\nAnswer: 2845692*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 7 = 13*a + b, -5*b + 31 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13939*d + 4 + 13933*d + 2*d**2 - 6 to j*d**2 + k*d + m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 49. Put -3, 0, m, 4 in decreasing order.\nAnswer: 4, m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 - 4*p**2 + 5*p**2)*(2*p + 7*p - 6*p).\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107184 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((210\/(-40))\/(-21) - (-497)\/28) + -8. Let l(q) be the second derivative of q**3\/6 - 3*q**2\/2 + q. Calculate l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277248725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 68*r**2 - 5*r. Let m(h) = -118*h + 8. Calculate a(m(b)).\nAnswer: 946832*b**2 - 127794*b + 4312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 110*x**2 - 112*x + 2. Let h be y(-56). Solve 0 = 5*j - h*g - 1 - 11, -3*j - 5*g + 1 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -5 in descending order.\nAnswer: 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56\/57 in -1, -1\/2, 1683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 4) to base 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34516\/3494745*9\/(-14)\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15215024?\nAnswer: 2, 11, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 + 2*r - 5. Let o be l(4). Let i = o - 16. Calculate the remainder when 9 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50602939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -50.9259+-6\nAnswer: -56.9259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 + 7*c - 7. Let i be q(5). Let k be (i - 2)*(-1 + -1 - -2). Put -1\/9, 9, k in descending order.\nAnswer: 9, k, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + (-1)\/2. Let h be 80\/12 + 4\/(-6). Let p = h + -3. Calculate the greatest common divisor of p and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11882854 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 -15*q + 87 = 14*q. Suppose 3*u = 3 + 12. Calculate the least common multiple of q and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:28 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223675 by 44735.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(5 + -1) - -1. Which is the closest to -1? (a) -5 (b) 5\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/7, 0.3, -149292, 27, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 - 22*k + 72. Calculate the remainder when 167 is divided by i(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(-1 + sqrt(117) + -2 + 2 - (-5 + sqrt(117)*2 - 3*(sqrt(117) + 2))))**2.\nAnswer: 4320*sqrt(13) + 20452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8721 and 19737.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (4 - 4) + 10 - (30 - 7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 10*j + 6. Let b(i) = -10*i - 5. Let v(w) = 4*b(w) + 5*d(w). Let z(q) = -9*q**2 + 20*q + 19. Let o(h) = -7*v(h) + 4*z(h). Calculate o(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488 - 3520*q + 104 - 593 to the form j*q + v and give j.\nAnswer: -3520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + -2 + -4 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g. Suppose -4*n = -17 - 3, -20 = 3*t - 4*n. Suppose 2*o + t*o - 214 = g. Calculate the remainder when o is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -958?\nAnswer: -1\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:59 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -2 + -1 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g**3 + 0*g**7 + 0*g**6 + 0*g + 1\/896*g**8 + 0 + 0*g**5 + 4*g**2 + 0*g**4. Factor a(k).\nAnswer: 3*k**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 + 34?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1752 and -49\/2490?\nAnswer: 727080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -21, -23, -25, -27, -29?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11006331 and 42.\nAnswer: 22012662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 7*t**3\/6 + t**2\/2 - 3*t. Let j(q) = 2*q**2 - 47*q - 76. Let r be j(25). Give i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21420 (base 5) to base 15.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42207*d + 1735 with respect to d.\nAnswer: -42207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377913.\nAnswer: 29, 167, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t - t)*((-5*t + 3*t + 0*t)*(-2 + 4 - 4) - 1 + 0 - 5*t + 4) to i*t**2 + x + g*t and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1151667390 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173811600 to the nearest integer?\nAnswer: 13184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.20919 litres in millilitres?\nAnswer: 60209.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 + 7*x**4\/12 - x**3\/3 - 13*x**2 + 2*x - 22. Find the second derivative of w(p) wrt p.\nAnswer: 6*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -3*o + 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 13. Let q be (-2 + l + -1)*-3. Is -5*(-3)\/(q\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 3*h**2 + 0*h**2 - 2*h**2 + 4*h**2 + 0*h**2 + (-h + 3*h - h)*(-2*h - h - h) - 3*h**2 + h**2 + 0*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -91, -346, -835, -1636, -2827, -4486, -6691?\n\"Answer: -13*s**3 - 8*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((sqrt(1900) + 2)**2*-5 + sqrt(1900) - (-2*sqrt(1900) + 0))).\nAnswer: 1020*sqrt(19) + 57132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 11*d = -4659. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002295 to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4*(0 + sqrt(243)) - 2*sqrt(243)*-2 - (-3 + 3*-2*sqrt(243)))*-6 + 4)**2.\nAnswer: 21168*sqrt(3) + 1714800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*s - 5*s + 4*s)*(-4 + 2 + 1) - 2*s - 2*s + 2*s)*(3 - 3 - 2*s**2).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(1300) + 0 - sqrt(1300)))**2 - ((sqrt(1300) - (0 + (-1 + sqrt(1300))**2)) + (sqrt(1300) + 0 + sqrt(1300))*4).\nAnswer: -110*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*i + 115 + 25 = 0, 4*q + i - 594 = 0. Let n = 243 - q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51651, 51645, 51627, 51591, 51531, 51441, 51315, 51147?\nAnswer: 50931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -531 and 0.4?\nAnswer: 531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w**2 - 2*w - 5. Let r(h) = -64*h**2 - 10*h - 24. Determine -14*n(d) + 3*r(d).\nAnswer: -10*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -185 and 0.03.\nAnswer: -184.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494*r = 499*r - 15. Solve 5*c - r*g + 2 = 0, -2*g = -2*c - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3754*u + 33707. Determine r(9).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.79 - 171778993?\nAnswer: -171778962.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i\/i**1))\/(((i*i*i*i*i**(-4)*i)\/i)\/((i\/i**1)\/i))*((i*i**(-1\/4)\/i)**(-5))**30 assuming i is positive.\nAnswer: i**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12210 and 1335180?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1394\/(-8))\/(-1) + -2. Let a = -2017\/12 + s. What is the common denominator of (-53)\/(-212)*((-1)\/(-1) - -42) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/7 - 44*j**4\/7 + 5*j**3\/7 + 220*j**2\/7 - 4*j\/7 - 176\/7 = 0. Calculate j.\nAnswer: -44, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 + 26 - 8*s**2 + 33 + (-730 + 507 + 546 + (4 - 1 - 2)*(-4 + 2 + 1))*(s**2 - s**2 - 2*s**2) in the form l*s + o*s**2 + w and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4116)\/(-6517))\/((-2)\/(-19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaalaalloollaoo. Give prob of sequence alla.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21919 and 113407.\nAnswer: 2608361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 216894229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 107 = 3*k - u - 57, 4*u + 160 = -564*k + 567*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 187120 - 187637 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/4)\/((-1066)\/(-1148) - (-15)\/(-35))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 1. Let q be t(-1). Let l = 9 - q. Let a be (l\/(-2))\/(4\/(-8)). Are a and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = -1. Suppose d - 9 = j*a - 40, 5*d = 3*a - 1. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 793, 823, 853?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*x = 138*x - 19296. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*w - 3190 - 18477 = 0 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from dxxzxdxdrz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*1*6 - sqrt(35))\/(sqrt(405) + (sqrt(405)*2 - sqrt(405)) + sqrt(405) + sqrt(405)).\nAnswer: 5*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let l(p) = 30. Let j(f) = -2*f + 60. Let r(k) = j(k) - 2*l(k). Calculate r(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, -11*y + s = -12*y + 3. What is the greatest common divisor of 396 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**2 + 0*g - 1\/24*g**4 + 0 + 0*g**3. Let c(h) = -273*h**2 - 278*h**2 + 549*h**2. Calculate c(b(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**7\/630 - f**6\/180 - f**4\/3 + 17*f. Let b(h) be the third derivative of v(h). Let b(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, -3, -1, -225.1, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44480 and 28480?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2002012010110?\nAnswer: -2002012010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 7 + 2)*(3*y + 19 - 19)*(-1 + 2 + 0) to b*y + v and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101100 (base 2) to base 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35042?\nAnswer: 2, 7, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 6 = -30. Let i(u) be the first derivative of 1\/4*u**4 + 0*u**3 + 0*u**2 - 4 - h*u. Find the first derivative of i(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 64161.\nAnswer: 898254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x + 56 = 0. Let d be 2\/7 - (-32)\/x. Let p(h) = -h. What is the units digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3526.6 - 3524.6. Let v be 0 - 2\/(-4)*-4. What is the fourth smallest value in c, v, -0.1, 6\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 131*p**2 - 153*p - 395. Give z(-3).\nAnswer: 1243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, s: 2, g: 1}. What is prob of sequence gv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -4285\/19 and -227 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/10 - 1\/((-14)\/(-24)). Let g = 17 + -18. What is the third biggest value in g, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 31, 57, 93, 139?\n\"Answer: 5*t**2 + t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 131\/2. Suppose 0*i = -4*i + 40. Suppose 5 = 3*m - i. Put 0.3, m, z in descending order.\nAnswer: m, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 1. Let u be a(1). Suppose 0 = u*o + 2*o - 236. Calculate the remainder when o is divided by 3\/((-18)\/(-28))*2142\/833.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 147, 5, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1477063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15508 or -15486?\nAnswer: -15508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2 + sqrt(64)\/sqrt(2))*-2 - -6*((sqrt(32) - (sqrt(32) + 0)) + -3)))**2.\nAnswer: 8064*sqrt(2) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 1 - 9 - 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 7816 + 7879 = -5*t, 5*a + 5*t + 65 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 3*r + r)*(r + 2*r - 2*r) - 78*r + 78*r + r**2 - 2.\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - (-1 + 2\/(-1)). Let o be s\/6 + 49\/(-3). Let q = 37 + o. Solve -q = -3*l + 8*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201220 (base 3) to base 4.\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + 20*x**2 - 8*x**2 + 15 as o*x + v*x**2 + f and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + -5 + -7 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 27 = 5*b. Suppose -4*d - 5*a - 25 = 0, 3*d + 0*a = 2*a + b. Let n = -43 + 42. Put d, n, -2\/5 in decreasing order.\nAnswer: d, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 58257236.\nAnswer: 58257236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9)*(6 - 0). Suppose -98 = -4*y - 0*d + 3*d, 50 = f*y - d. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y - y)*(-15 + 12*y + 15)*(-4 + 4 + 5) + (y + 0*y + 0*y)*(-4 - y + 4) - 1 + 2*y**2 + 1 + 4*y**2 - 4*y**2 + 6*y**2 + y**2 - 5*y**2 + 3*y**2.\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/9 + 2*j**4\/3 - 14*j**3\/3 - 22*j**2\/9 + 32*j\/3 + 8 = 0 for j.\nAnswer: -6, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppyypdtpppd. Give prob of picking 1 y, 1 d, and 1 p.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 112?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88086538.2658175601328 + -367.2341820598672. Let v = -88086928.5 - j. Let k = v + 23. Round k to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:26 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558658.\nAnswer: 2, 279329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/10 - y**4\/4 - 5*y**3\/6 - 5*y**2\/2 + 2*y. Let d be m(-2). Let r = d + 24. Sort 3, r, 0.4 in decreasing order.\nAnswer: 3, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k**2*t**2*x + 4*k**2*t - 9*k*t*x**2 + 5*t**2*x**2 + t*x wrt t.\nAnswer: -30*k**2*x + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 81. Let l = -11 - i. Let a = -97 + l. Sort -3, -1, a in descending order.\nAnswer: -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 347 + 3. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -173?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*6*(0 + 0 + ((-1 + sqrt(147) + sqrt(147))*-1)**2).\nAnswer: -7071 + 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58757 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6727 divided by -246\nAnswer: 6727\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45962 is divided by 3359.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259545 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13036 - (-32)\/12*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 14 = 2*i, -2*i + 4445*u - 4450*u + 14 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-912)\/95)\/((-3807)\/1410).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let o be (-2 + 1)*-2*(-3)\/39. Sort -0.2, j, o in decreasing order.\nAnswer: j, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.7 + -0.3. Let h = -7.3 - o. Let q = -116 - -1974\/17. Which is the smallest value? (a) q (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v + 10. Let u(m) = 2*m - 9. Let y be u(7). Suppose 0*c - 10 = -y*c. Solve -v*s + 3*r = 3, -3*s - s = c*r - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 9 - 5. Suppose a = 24 - 12. Does 16 divide (a\/(-30)*-1)\/(c\/(-240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/130 and 73\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(3 + 6\/2)*16\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - 6097\/(-63)) + 2\/9. Let w = 632\/7 - q. Let j = -23\/3 - -43\/6. Which is the nearest to j? (a) -2 (b) 7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y. Let l be g(1). Let a = 28 + l. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 25*q**2 - 82*q + 2. Calculate t(28).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*b + 2*b. What is the lowest common multiple of 16 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 5*u + 2*u)*(89 + 359 - 117)*(-3 + 3 + 2*u) to q*u**2 + w*u + s and give q.\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (0 + -12 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12600005\/(-30) + (-4)\/(-24). What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-231))\/((-1)\/2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 + 2898 = 14*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (33\/(-55))\/1 + 2 + 290\/(-225). Find p such that -1\/9*p - 2\/9 + w*p**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -95a6 - -2a?\nAnswer: -9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 368\/36 - (-4)\/(-18). Suppose -136 = -15*h - 2*h. Solve -3*m - a = -h*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbja when four letters picked without replacement from jjbawb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58410 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 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 -1.05 take away -18.504628?\nAnswer: 17.454628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(9)\/(sqrt(3)*-2) + sqrt(30)\/(sqrt(40)\/sqrt(4)))**2 - ((sqrt(135) + sqrt(135)*2)\/sqrt(5) + -2).\nAnswer: -8*sqrt(3) + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -39*d - 1419. Calculate t(-37).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6677, -13355, -20033?\n\"Answer: -6678*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j**3 - 171995012*j**2 + 171995012*j**2.\nAnswer: 75*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218571 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307 divided by -1.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {c: 13, j: 6}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 396123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/394 and -149\/9684?\nAnswer: 1907748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 22. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-113)\/(-6) + (-126)\/(-189))\/(3\/2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from eegn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4 + 39*u**3 + 180*u**2 + 348*u + 240 = 0.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -66*f**2 + 41*f - 66*f**2 + 126*f**2 - 47*f - 6. Let w(v) = -7*v**2 - 5*v - 5. Let a(u) = -u**2 + 14*u + 9. Let r be a(15). What is r*w(p) + 5*o(p)?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/45*(-24)\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 0*v, -2*t = -3*v - 10. Suppose 4*l + 1 + 0 = 5*o, 0 = 4*o - 4*l. Let a be (-2 - (1 - o)) + 7. Put t, a, -1 in ascending order.\nAnswer: -1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*p + 154, 289*a = -282*a + 489*a - 2*p - 86 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 1 + 1)*(-l - l + 6*l + (3 + 3 - 5)*(3*l + 2*l - 3*l) + 2*l + 0*l - l + 2*l + 2 - 2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15823445 is divided by 10801?\nAnswer: 10781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/80*11114\/61127?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63320313, -63320311, -63320309, -63320307?\n\"Answer: 2*m - 63320315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*a - 5*a + 1052 = 0, 0 = 4*b - 5*a - 4191. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09308 + 0.00692. Let j = -2.5 + 3. What is the third smallest value in j, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*w**2 + 632*w**2 - 1669*w**2.\nAnswer: -1205*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.9. Let q = -24071 + 24071. What is the nearest to q in 5, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579768711.\nAnswer: 3, 109, 1772993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 319366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, 78, 1 in increasing order.\nAnswer: -4, -2, 1, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**3\/3 - 2*g**2 - 5. Let x be z(4). Which is the nearest to -6? (a) x (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-1 + sqrt(130) + sqrt(130))*-4)\/(-2*sqrt(20)\/sqrt(2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxlzxnnzxlllldlzll. What is prob of sequence xn?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.09236?\nAnswer: -0.009236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -1\/3*c**3 - 3*c**2 + 1\/60*c**5 - 1\/12*c**4 + 0*c - 7. Let m(y) be the second derivative of v(y). Calculate m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10440672 + 6?\nAnswer: 10440700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 6*s**3 + 6*s**2 + s - 28. What is the tens digit of m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10426 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23863122097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/24 - 2*i**3\/3 + 2*i**2. Let m be r(-8). Let p be (-3983)\/(-63) - m\/18. What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 6. Let m be k(-1). Suppose m = -22*a + 809 + 11709. What are the prime factors of a?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*q - 15, 5*q + 29*z + 5 = 32*z. Solve 10 = 3*l - 4*v, 4*v = l - 4*l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -73 - (3337 - 3328)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x + 475*x + 48930 = -142*x for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 + 2 = 2*u, -4*u - 16 = 5*z. Solve z = -y + 1, 3*y - 7 = q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.399 + -10.3. Let x = u + 0.101. Which is the closest to -1\/4? (a) 2 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u - 3*f = -64*u + 24, 4*f = -5*u - 41 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.1568 rounded to one dp?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctfzczffqzzfzfz. Give prob of picking 2 z and 1 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323333*h**2 - 410616*h**2 + 288172*h**2 - 480291*h**2.\nAnswer: -926068*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) 0.2 (b) -1\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 90*a + 1862 = 37*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 763, 759, 755, 751?\n\"Answer: -4*k + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 6*n**3 - 4*n + 33018 - 16504 - 16508. Let b(z) = -5*z**3 + 3*z - 5. What is -4*b(m) - 3*p(m)?\nAnswer: 2*m**3 + 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15367704, -30735403, -46103102, -61470801, -76838500?\n\"Answer: -15367699*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, r: 1}. Give prob of picking 1 r and 3 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 - 2*m - 2. Let x be u(-5). Suppose x = 3*h + 17. List the prime factors of ((-17)\/h)\/(6\/18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/8 - 17*h\/4 = 0. Calculate h.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/20*-5*(1 - 1). Suppose 0 = -2*p + 2*q + 7894, -5*p + 4*q + 19731 = -z*q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f + 8*f + 3*h, -f + 15 = -5*h. Suppose -4*w = c - 20, 5*c + 0*w + 5*w - 70 = f. Calculate the highest common divisor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120200010010 (base 3) in base 7?\nAnswer: 46146003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:22 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -35 - 18) + 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**2 - 6*c. Let n(v) = -v**2 + v. Let l(w) = -h(w) - 3*n(w). Find the second derivative of l(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, -1439 in ascending order.\nAnswer: -1439, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*f + 3*k + 830, -2*f + 5*k = -1657. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/z**(1\/3)*z))\/z*z*z)\/z*z\/(z**(-2\/27)\/z)*z**(-5)*z**(-2\/7) assuming z is positive.\nAnswer: z**(-544\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (620\/5)\/((4\/9)\/(112\/(-72))*-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1976 + 1998. Suppose 0 = -8*c + 4*c - o + 16, -3*c + 12 = -o. Suppose -c*p + 147 = -73. What is the greatest common factor of p and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -31*l**2. Let m(r) = -304*r. What is m(n(s))?\nAnswer: 9424*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24577 and 5919066?\nAnswer: 5894489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 5.301.\nAnswer: 10.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106332.\nAnswer: 2, 3, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 950319779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + sqrt(168) + (sqrt(168) + sqrt(168)*-1)*-1)\/sqrt(6))\/(sqrt(24)\/(sqrt(6) + (sqrt(6) - sqrt(54)\/(sqrt(36)\/sqrt(4))))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(11\/176*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.054065+0\nAnswer: -1.054065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -4, -5, 1 in descending order.\nAnswer: 1, 0.01, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -399*q**4 - 236*q**4 + 468*q**4 + (q - q + q**2)*(0 - q**2 + 0) as n*q + o*q**4 + s*q**2 + u*q**3 + r and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727043 (base 8) in base 3?\nAnswer: 221120102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159554, -1159558, -1159562, -1159566, -1159570, -1159574?\nAnswer: -1159578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 646*g. Let a(q) = -3*q - 214. Calculate a(v(k)).\nAnswer: -1938*k - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, b: 2, t: 2}. What is prob of sequence tltl?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**5 + 0*s**6 - 2\/3*s**3 + 0*s**4 + 1\/14*s**7 + 0*s**2 + 0 - 3*s. Find the second derivative of q(h) wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 2}. Give prob of sequence is.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -63 + 18 - 127*m**2 + 98*m**2 + 31*m**2 + 42*m. Calculate j(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + (-450)\/(-42))\/(2\/14). Suppose -w*p + 18705 = 5367. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3544 or -53146\/15?\nAnswer: -53146\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851961 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 38*g**2 + 45*g**2 + 130*g**2 - 5 - 216*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k - 20 = 0. Suppose -2*r - 19 = k*w, 5*w = -5*r + w - 5. Let j(t) = 4*t**2 - 3*t + 2*t - r - t**2 - t**3. Calculate j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 25*l - 19. Let x be d(1). Suppose -g - 4*g = -4*m + 14, 2*g - 2*m = -x. Sort 0.5, -1, 0.1, g.\nAnswer: g, -1, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*s - 107, 4 = -3*c - 2. Let p = 37 + s. Sort -5, 4, p in ascending order.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (11 + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -931 + 2759*b**3 - 277 + 787 wrt b.\nAnswer: 8277*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245037*r**2*x**4 + 16*r**2*x + 5429851*r**2 + 2 wrt x.\nAnswer: 980148*r**2*x**3 + 16*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(9) + sqrt(225)))\/sqrt(12).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Let m = 3.28 - -0.32. Let p = -4 + m. What is the second smallest value in v, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242046.4km in centimeters?\nAnswer: 24204640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14805 and 18048?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-2)\/24). Let p(s) = -2*s + 8. Let m be p(v). Let r(t) be the third derivative of -t**4\/24 + 5*t**3\/6 - t**2. Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 15*d**2 - 27*d - 181. Give n(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 17*i - 8. Let z be l(-10). Suppose -z*t - 3*t**3 + 20*t**2 + 2*t - 20 + 15*t + 8*t**3 = 0. What is t?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-2 - 1) + 0). Suppose 4*s - 3*h + 28 = 357, -5*s + 3*h + 409 = q. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 - 4*d. Let z(x) = -26*x**3 + 9*x. Let q be 0 - -2 - (143 + -136). Calculate q*t(s) - 2*z(s).\nAnswer: -13*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 31369302.9 to the nearest 1000.\nAnswer: 31369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5659 - -26758?\nAnswer: 32417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24*6\/(-45))\/(2\/5). Suppose 3*x - 5*z - 14 = a, x = -2*z. Solve 0 = l + x - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 6)*(0 + -2). Let k(i) = 28*i + 2*i**2 + 0*i**2 + 32 - 4*i**w + i**2. What are the prime factors of k(25)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -543*g + 2743. Determine t(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 5, v: 4, h: 5, l: 1}. Give prob of sequence nhv.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(272)*-2*-2)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587\/2 smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 7*u**2 + 4*u + 2. What is w(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/13 (b) -2\/19 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000247273 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 2. Let z(y) = -2. Let t(c) = 1. Let m(i) = 3*t(i) + 2*z(i). Give -h(r) + 3*m(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 30. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 31. Let i(o) = 3*o - 31. What is -5*h(u) + 4*i(u)?\nAnswer: -3*u + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 11*t**2 + 10*t + 14. Let b be l(-7). Suppose -b = -n + 1230. Suppose 0 = 5*m - 5*p + 272 - n, -5*p + 10 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1893\/4 + -474. Let s = -11 + 10.7. What is the closest to a in s, 0.6, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -1. Let l be 2\/v + 2\/(-5). Solve l*w - 4 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)*(y*y**2*y)\/y*y*y*y)\/(y**(1\/2)\/(y**(-2\/7)\/y*y)))\/((y**(-1\/4))**(-3\/8)*y*y*y\/(y\/y**(-3\/8)*y)*y*y*y\/((y**1*y)\/y)) assuming y is positive.\nAnswer: y**(5479\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-48))\/(91\/(-7280)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*2\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*c - 617385 = 0, -5*i + 5*c + 1028983 = 8*c. Let f = 1 + -1. Suppose 3*m + i - 40796 = f. Round m to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w**4*w)\/w)\/w)*w*w*w**(-2\/5)\/w)**(-27) assuming w is positive.\nAnswer: w**(324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 equal to 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 2. Solve -7 + p = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7*x - 7875 = 0. Let p = -1035 - x. Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + 1 - (-344 + 342).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from brfrrhffhsbsrbhr?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4 - 20*v**2 - 3*v + 8*v**2 + 7*v**2 + 6*v**2 + 2. Give d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5355 + 5356. Let t be 60\/33 - 4\/(-22). Solve 0 = -4*b - 4*z + 8 + 4, t*b - 5*z + n = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5034*m**2 - 2454*m**2 - 2572*m**2. Let u(h) = -28*h + 3. Let x(g) = -279*g + 31. Let i(j) = -31*u(j) + 3*x(j). What is i(k(a))?\nAnswer: 248*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 = 2*g, -4*h + 23 - 7 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-21)*((-16)\/320 + (-10)\/(-200)*-629).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(45)*1 + sqrt(45) - sqrt(45)) + sqrt(45))\/(-2*sqrt(36) - sqrt(36) - sqrt(9)))**2.\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 - 20*d + 124. What is the tens digit of f(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-101)\/202)\/(2 + (-39)\/18). Solve -12 = -n*l + 5*g, 0 = 5*l + 5*g + 14 + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02081 + -0.07919. Is q greater than 22029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10068, -9727, -9384, -9039, -8692?\nAnswer: -8343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 19782128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from ygqsjysjgyym?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/5 + 13\/15. Let d = 0.31 + 0.09. Which is the third smallest value? (a) 2 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4375515\nAnswer: -4\/4375515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*l**3 - 4548*l**2 + 41840*l + 46500 = 0.\nAnswer: -1, 465\/28, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, -1, 1.3, -1060\/7 in descending order.\nAnswer: 1.3, 12\/11, -1, -1060\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + (-18 - -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y**5\/2 + 191*y**4\/2 - 118*y**3 + 26*y**2 = 0 for y.\nAnswer: 0, 2\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-4) + (-1)\/(-2). Let x be (-2)\/(-7)*(z + 1). What are the prime factors of 2\/x - (-45 + -5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 260951 = -54815. Let k = u + -3943. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2133732 (base 9) to base 5.\nAnswer: 243110042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + -2 + 1 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2495 - -3668. List the prime factors of s.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/111173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(sqrt(91) + 1*(sqrt(91)*1 + sqrt(91)))\/sqrt(7) + 1))**2*-4.\nAnswer: -421300 - 3600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 312937939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3240*z. Let a(u) = 172*u. What is g(a(q))?\nAnswer: 557280*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266160 is divided by 377.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010021022120 - -10?\nAnswer: 1010021022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.634 + 406.366. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39798?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1843 and 19817779?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let p(y) = 4*y + 12 + 11*y + 5*y. Let g(j) = -6*f(j) - p(j). What are the prime factors of g(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18549.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q + 80*q - 15*q.\nAnswer: 123*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1100) + 0)**2 + 3 - (sqrt(1100)*2)**2*-1))*1.\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + (6\/9)\/1). Suppose -5*z + 2*w + 70 = 0, 0 = -7*z + j*z - 4*w - 12. Solve -2*c = 2*c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23547 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 278719 times -0.3\nAnswer: -83615.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyylx. What is prob of picking 1 x and 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1500, 1506, 1512, 1518?\n\"Answer: 6*n + 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2003, 723, -2753, -9523, -20685, -37337, -60577, -91503?\n\"Answer: -183*z**3 + z + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -240*n**3 - 2*n**2 + 1. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:49 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3334732*p**5 + 6147014*p**2.\nAnswer: 200083920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18563, -20, 43 in descending order.\nAnswer: 43, -20, -18563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 708 - 5685. Calculate the remainder when q is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.8 - 14. Let u = k - 3.6. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81161474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -110*k - 141. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32068 or -481034\/15?\nAnswer: -481034\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 26. Suppose 3*q = h*q. Let b = 0.41 - 0.01. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24863988 to the nearest integer?\nAnswer: 4986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 139. Suppose m - 2*m = -n. Suppose 6*c - 286 = -m. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*q - 7 = 3*o + 116*q, 3*o = 4*q - 16. Let l be ((-7)\/2 - -1)*2. Which is the third biggest value? (a) 4 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.02 - -0.02. Let a = 8.1093 - 0.2013. Let o = a + k. Round o to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*g**3 + 224*g**3 - 781*g**3 + 280*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1030288, -2060571, -3090854, -4121137, -5151420, -6181703?\n\"Answer: -1030283*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.6418 hours to nanoseconds.\nAnswer: 1949910480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 3, -3, -6.7, -1\/7, 4\/5 in descending order.\nAnswer: 3, 4\/5, -1\/7, -3, -6.7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**31\/c))\/c)\/c)**(-43)*c**4\/c**1 assuming c is positive.\nAnswer: c**1336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 4}. What is prob of picking 1 s and 1 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - ((5 + -8 - 2) + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(3 - 5 + 3) + (-2 - 2*w + 2)*(1 - 6 + 3).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3828, -1, -1\/5, 204, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:33 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 5*2*sqrt(84) + -3*(sqrt(84) - sqrt(84)*1 - sqrt(84)))*-2)\/(-2*(sqrt(48)\/sqrt(4) - sqrt(12)) - sqrt(768)\/sqrt(4)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -63 - 259. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a**(-2)\/a)\/a)))**(1\/28)\/(a**(1\/4)*a)**(-1\/24))**(1\/19) assuming a is positive.\nAnswer: a**(-61\/12768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21055*c**2*i**3*p**3 + 22*c**2*i**3*p - 3*c*i**3*p**2 + c*i**3*p - 33*c*i**3 + 4*c*i**2*p**3 + 11*c*i**2 - 4*i**2*p**2 wrt c?\nAnswer: -42110*i**3*p**3 + 44*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 109194\/290 - (-57)\/(-95). Let j = 376 - y. Let x = j + -91\/58. Are x and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let j(g) be the first derivative of g**2 - 99. Let i(r) = -r**3 - 22*r**2 - r - 24. Let n be i(-22). Calculate n*s(a) - 5*j(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:24 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - 2 + 251*b**4 - 237*b**4 + 2*b - 2*b**2 + 0*b + 0*b**2 to the form l*b + o*b**2 + c + n*b**4 + z*b**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31376\/5 or 6274?\nAnswer: 6274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3591 = -2*t, i - 1526 = 4*t - 329. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 + 4584*v - 960748 = 0. What is v?\nAnswer: -1327, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-1080)\/4))\/(((-468)\/(-60))\/(-39)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 32*d - 55 = 0. What is the first derivative of -22 + 25 - d*j**2 + 13*j**3 - 32*j**3 + 14*j**3 wrt j?\nAnswer: -15*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 19 = -5*u, 4*u - 2*u = -2*m + 16. Suppose u*o - 40 = 2*o - 5*f, -5*o + 2*f = -46. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1219373*o**4 - 376*o**2 - o - 164?\nAnswer: 29264952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 64*f - 648. Determine d(-16).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397977.\nAnswer: 3, 53, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 10*j**3 - j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*x + 95. Let g be (-191444)\/(-638) + 24 + 6\/(-87). What is the greatest common factor of g and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*q**2*s**2 + 82*h*q**2*s - 3*h*q**2 + 7*h*q*s**2 + 6*h*q*s - 2*h*s**2 + 6*q**2 + 14*q*s**2 wrt q?\nAnswer: 4*h*s**2 + 164*h*s - 6*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -0.2, 4\/3, -2\/131?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from ppzgrqpoppzoqprqrq.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2662 divided by 2\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*d = 191*d - 19626095. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 - 209. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/(-8) - -2)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 146*l**2 + l - 17. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8904 and 21465?\nAnswer: 1202040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -33. Let x = -20621 - -20620.5. Put -3\/4, x, r in ascending order.\nAnswer: -3\/4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8 - 9*c**2 + 36*c**3 - 15*c**3 - 4*c - 20*c**3. What is i(9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -183.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 18*z - 5*n + 167, -5*n + 71 = 2*z. Calculate the remainder when 1006 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 9*f**2 - 23*f + 3. What is g(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(325) + 1*sqrt(325))*2)**2 + ((sqrt(104)\/sqrt(8))**2 + 1)*-3).\nAnswer: -20632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-19 - 4 + 8)*(3 - 3 - 2)*(1 - 1 + a).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 35 = 10*j. Suppose 0 = 25*k + 21*k - 5152. Calculate the highest common divisor of j and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**3 + y**3 - 3*y**3 - 3 - 6 to h*y**2 + n*y + r*y**3 + o and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-723)\/84 - 2 - -4. Let k = -120\/7 + q. What is the common denominator of -95\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0) + (9 + -1 - 25) + 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y. Let c(t) = -t**2 - t + 1. Let p be c(y). Let x be (10\/(-15))\/(p\/(-3)). Solve v + 1 = -x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 = -4*u, -u = 1 - 0. Let f be (i - 5399)\/(3755\/1250 - 3). Round f to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + 1104?\nAnswer: 112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-669)\/(-39) - (-4)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 p, and 1 b when four letters picked without replacement from {u: 4, e: 2, c: 4, p: 1, b: 3}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9871 smaller than -9875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 6, i: 5, m: 1, d: 2}. Give prob of sequence qdi.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Let j(g) = -7 + 2*g + g - 4*g + 0*g. Let y(m) = 3*j(m) + 4*u(m). What is the derivative of y(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.979 times -178?\nAnswer: -7472.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0)\/3 + (1 - -2). Suppose -l*j + 4*f = -54, -11 = -j - 2*f + 24. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682*a*l*m*s - 2*a*l - a*m*s + 9*a*s - 2*l*m*s + l*m + 5*l*s + 3*s wrt m.\nAnswer: 682*a*l*s - a*s - 2*l*s + l","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Do -69 and -67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k = 2*q + 38*k + 27, -2*q = -4*k + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 26*v - 2*v. Is v <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1224 and 3473568?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((44\/7 - 4) + -4)*(-91)\/(-13). Let m = 0.034 + 0.066. Let i = 0.1 + -0.1. Which is the closest to i? (a) m (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61348.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 9799.7119911?\nAnswer: 9804.7119911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (0 - 3 - 0). Let v(c) = 6*c**2 + 2*c - u - 2 - 9*c**2 + 0. What is v(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:19 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 115 = 5*x. Suppose 4*m + s - 934 = -s, -3*m + 698 = s. Calculate the greatest common divisor of m and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2607 divided by -17.\nAnswer: 2607\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3 = -12*x + 7*x, 0 = -4*n - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12160 - -12433. Put l, -2\/9, 4\/3 in ascending order.\nAnswer: -2\/9, 4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 3*s**2 + 16. Let x be o(5). What is the units digit of (x\/10)\/((-3)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1220\nAnswer: 4880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 32. Let h be i(20). Solve -u = -z - 9, 4*u + h*z = 5*z + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 242?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*1\/12. Suppose 0 = 20*c - 17*c. What is the nearest to c in -1\/3, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5444 greater than -5445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 5, d: 3}. What is prob of sequence ud?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 + 1 - (-11 - -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129404 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -2, 21, 64, 133, 234, 373?\n\"Answer: s**3 + s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199.1 - -199. Which is the nearest to -0.1? (a) 2.1 (b) -1\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let s(f) = 4*f. Give k(q) + s(q).\nAnswer: 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-16)\/(-30)))\/(1506\/(-2008)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-340)\/952?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 3*g**3 - 13*g**3.\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 24*d**2 + 3. Let q be g(-24). Solve -q*m - 2 = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 80. Find the second derivative of 4*a - 4*a - 31*a**z + 8*a + 2*a**2 wrt a.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 - 670 = -47*v. Calculate the remainder when 34 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11930 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -63. Suppose -b*j - 5*u + 422 = 0, 143 + 65 = j + u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 9*j**2 - 11*j + 13. Let o be d(10). Suppose -6*b = -15 + o. Solve 2*l + b = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23817.\nAnswer: 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1424 by -4.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasfahehsffsaaee. What is prob of picking 1 e and 1 s?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*y**2 - 159*y**2 - 164*y**2 + 563*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7977503us in milliseconds?\nAnswer: 0.0007977503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 + 2 + -1 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 13*b**2 - 11*b + 22. Let z be y(-12). Suppose 0 = 4*j - 18 + z. Let q(s) = -s - 5. Let n be q(-5). Solve -4*r - 2*x = 16, x + n*x = j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 8. Give t(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2904 rounded to three dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.59 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 8332 - 52757 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 5715*d - 488124. What is a(83)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 2168, 4917, 8736?\nAnswer: 13625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047253 rounded to 3 dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6941?\nAnswer: 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 27. Suppose -s*g = -2*g + 9. Is g >= 2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(1 + -6)*(-1)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67806?\nAnswer: 2, 3, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429870.8326 + 0.\nAnswer: -429870.8326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89118*d**2*p**2 + 16*d**2 + 771*d*p**4 - 768162 wrt p?\nAnswer: 178236*d**2*p + 3084*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-1)\/(-2)*(-10)\/(-15). Let k = d + -2. Let i be (k - -125)*(-6 + 366\/5). What is i rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 25. Let m = 1465 + -1460. Solve -m*t - 2*u - 19 = 0, -3*t = u - h*u + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -23 + 7. What is the tens digit of (-179)\/(-4) + (-6)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296544?\nAnswer: 2, 43, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6*p = 2*p + 5, 0 = 3*p - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12312833\/1968 + -2 + 2. Let i = w - 6255. Let d = 4941\/860 + -128\/215. Find the common denominator of d and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16739 or 16725?\nAnswer: 16739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 849 - 849.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 30 = -4*w, -5*a + 55 = 4*w - 31. Solve 2 = 4*n - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 6*g - 3*g)*(-35 + 35 - 91*g).\nAnswer: -91*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/120 + 3*y**5\/80 + y**4\/16 + y**3\/24 + 12*y. Factor x(g).\nAnswer: g*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 5214410?\nAnswer: -5214420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-6) - -3) + 0)\/((-6501)\/331551).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:54 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 35.2. Let d = -5.4 - a. Put d, -6, -0.4 in decreasing order.\nAnswer: d, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 819*p**2 + 0 + 2*p - 2 - 3*p**3 - 2*p**4 - 823*p**2 to g + a*p**2 + s*p**3 + x*p**4 + w*p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*x**2 - 2264469*n**2 + 43*n*x**2 + 24*n*x - 35*x - 10 wrt n.\nAnswer: 2*x**2 - 4528938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 19*y = -215. Calculate the remainder when y is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -21) + 23 - (-5 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 44. Suppose -2*x - 17 = z + 23, -x + 2*z - 15 = 0. Let w = t + x. Solve w = 3*p - 3*n + 9, 3*p + 2*n = -0*n + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4450*i. Let f(l) = -2*l + 4. What is f(w(p))?\nAnswer: 8900*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-24))\/7)\/(30\/48).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664675849.\nAnswer: 101, 1747, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1765, -3131, -4565, -6067, -7637, -9275, -10981?\nAnswer: -12755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138781 or -138615?\nAnswer: -138781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2584, 5089, 7596, 10105, 12616, 15129?\nAnswer: 17644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112111 + 10?\nAnswer: 112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 42. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*b = 3*j - 176*b - 59548, -10 = 2*b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/9 - 4613296*q = 0 for q.\nAnswer: 0, 20759832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrzzrznr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 1?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) + 34\/12. Let f = 17\/6 - i. Let z be (5 - 11)*3\/6. Sort f, z, 0.3 in increasing order.\nAnswer: z, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) 1\/3 (d) 5.6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.034, 0.2, -4\/99?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-3) - ((-112)\/(-22) + 0)*3458\/(-3458).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.098357 from 8356.\nAnswer: 8356.098357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -3, -2193, -222, -6 in decreasing order.\nAnswer: 1, -3, -6, -13, -222, -2193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 15*l**2 + 2*l + 20*l**2. What is the units digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67\/5 of a hour?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:51 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -22)\/(-1 + 2). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 - 303. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:46 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35913*g**2*p**3 + 381*g**2*p**2 - 2*g**2*p - 3*g*p**3 - 6*g*p**2 + p**3 wrt p.\nAnswer: -215478*g**2 - 18*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119, 101, 53, -37, -181?\n\"Answer: -2*j**3 - 3*j**2 + 5*j + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + -6 + -5 + (287 - -1). Calculate the common denominator of 3 - (-2)\/(-6)*l\/4 and 146\/20*3\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 1. Let u = 96 + -41. Let z = u + -1. What is the remainder when z is divided by x(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1899, 7199, 15879, 27933, 43355, 62139, 84279?\nAnswer: 109769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by ((-3)\/(-5))\/(2 - 57\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 255 + 0*c - 4\/3*c**3 + 0*c**2 + 44\/5*c**5 + 10*c**4. Let d(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52542216.\nAnswer: 2, 3, 43, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Suppose 0*d + 5*d = 15. Let b(y) = -y + 2*y - d*y + 4*y. Determine g(b(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, 872, -5 in increasing order.\nAnswer: -5, -3, -2, 4, 872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssv. Give prob of sequence ssss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -13, 2 in decreasing order.\nAnswer: 5, 3, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -65. Let i be n\/2*-35*(4 - 40). What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286610959 to the power of 1\/3, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 41649608.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 42203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 138 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = 520. Let r = 125 + s. Calculate the lowest common multiple of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**5 + 4*u**5 + 166*u**2 - 14*u - 5*u**5 - 162*u**2 + 8*u**3 wrt u.\nAnswer: 120*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105863464 - 5340*g**2 + 105863464.\nAnswer: -5340*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*c**3*f - 26*c**2*f - 2*f + 1 wrt c.\nAnswer: 1356*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:59 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 519224 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + t - 14, 2*c + 0*t = -t + 6. Let q be -4060 - 0*(-2)\/c. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 601 + -589 + -18 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -860683285, -1721366570, -2582049855, -3442733140, -4303416425, -5164099710?\n\"Answer: -860683285*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 + 12 = v, -3*i = 3*v - 90. Let l = 16\/35 + 9\/35. What is the common denominator of l and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1625677, -1625668, -1625651, -1625620, -1625569, -1625492, -1625383, -1625236?\n\"Answer: x**3 - 2*x**2 + 8*x - 1625684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40415923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484\/(-318) - (-86530)\/6.\nAnswer: 13, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u, -4*u + 105 = 5*n - 10. Suppose -13 = -2*p + 5*i, -5*p + 3*i + n = -p. Suppose 0 = 4*t - p, 4*w - 771 = 3*t - 178. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8524.4nm?\nAnswer: 0.0000085244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144938723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 78.2. Let s = 1.6 - 1.2. Which is the nearest to 1? (a) s (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199444 by -49861.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10219 = 6114*i + 240455 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897371 is divided by 4098.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8666323 to 3 dps.\nAnswer: 0.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323 - 123. Suppose 0*h - 5*h = -y. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65223469 or -326117342\/5?\nAnswer: -326117342\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379\/2270 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6886714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 12 = 2*c. Suppose -2*h - 53 - 2 = 3*z, 85 = -2*h + 3*z. Let d = h - -49. Solve -d = c*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2 + n + 1. Let d be s(2). Let m = d - -15. List the prime factors of 8\/(-20) - m\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128532*h*y**4 + 2*h*y**2 + 463579*h*y + 113*y**5 - 8 wrt y.\nAnswer: 3084768*h*y + 6780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1704.98768 + -1705. What is c rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9 + 6, 4*w + 4*x - 20 = 0. Find the second derivative of 6*b - 3*b**w + 3*b**3 - 2*b**2 + 5*b**2 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 60*p - 287. Let j be c(30). Which is bigger: 1515 or j?\nAnswer: 1515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11034664)\/(-69) - 11)\/(1\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -50. What is the remainder when 49 is divided by ((-6)\/(-9))\/((-2)\/m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9010, -9021, -9044, -9079, -9126, -9185?\n\"Answer: -6*n**2 + 7*n - 9011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/7*(-402)\/(-11256).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118452, 118455, 118450, 118431, 118392, 118327, 118230?\nAnswer: 118095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/5588894 and -59\/16?\nAnswer: 44711152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3022 - -1?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**4 - 5*a**2 - 4*a + 5. Let p(d) = d**4 + d**2 + d - 1. Let q(s) = -5*p(s) - t(s). What is the second derivative of q(l) wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {m: 1, k: 3, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 6*m - m. Let i(u) = u**2 + 34*u + 138. Let t be i(-7). Let q(h) = h**2 + 17*h. Let v(d) = t*r(d) - 6*q(d). Let p(c) = c**2. Calculate p(v(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/570 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*c = -15, -c = -437 + 434 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 4*g + 3. Let t be 2*3*(-5)\/15. What is p(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let d(b) = 14 + 0 - 3 - 41*b. Let p(w) = 10*w - 3. Let u(k) = -6*d(k) - 22*p(k). Calculate l(u(g)).\nAnswer: 1352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10011 - -5?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20713, 79193, 176661, 313117, 488561, 702993?\n\"Answer: 19494*d**2 - 2*d + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 857910.6us?\nAnswer: 0.8579106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2457*k**2 - 2450*k**2 + 7372*k**2 - 2459*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 19*c**2 + 101*c + 24. What is n(-7)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -16\/15 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -23, -88, -201, -374, -619, -948, -1373?\n\"Answer: -2*k**3 - 6*k**2 + 3*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 - 3*a**3)*(4*a + 3*a**2 - 4*a + (-a**2 - a + a)*(3 - 3 - 1)) + 10*a**3 - 10*a**3 + 18*a**5 + (14*a**4 - 8*a**4 + 7*a**4)*(3 - 3 + a).\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 373324 and 14194670.\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629 = 2*a - 635 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050792 to 7 dps.\nAnswer: -0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.11 + -44.11. Which is the second smallest value? (a) f (b) -2 (c) -0.74 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*s + 1660, -3*g = 4*s - 3324 + 806. Is g a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y + 2481. Let d be p(138). What is the second smallest value in -1\/2, d, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**25)**(3\/7))**(7\/4))**(2\/17))**(12\/7) assuming i is positive.\nAnswer: i**(450\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15900, -16221, -16778, -17571, -18600?\n\"Answer: -118*b**2 + 33*b - 15815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16015 = 15995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/70 and 99\/28305934?\nAnswer: 990707690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 8\/5, -78, 2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3988*d + 426978 = 76034 for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 8*r + 5. Is h(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -48620\/1569?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-100)*(-341120)\/656?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 45 = -4*t + 3*t, 2*q = -2*t - 84. What are the prime factors of t\/(-6)*(13 + -7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 1448669300.\nAnswer: -1448669317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-32)\/4. Suppose 20 - r = 2*b. What is the second derivative of -4*m**3 + 2*m**5 - b*m + 0*m**3 + 4*m**3 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 4\/7, -0.1, -3\/5, 2\/35?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08710436? (a) 0.5 (b) -0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*u + 21 + 64, 0 = -u + 4*k - 5. Which is bigger: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7.6. Let r = -0.608 - i. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 554, 0.6, 3\/2, -3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 36\/115. Let x = -8.3 + 8. Let q = x + -0.1. What is the closest to 2\/7 in 2, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1600233?\nAnswer: 1600240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 + 26*m - 37 + (-50 + 50 - 28*m)*(-1 + 6 - 1).\nAnswer: -86*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*h + 5 - 6, 2*i - 5*h = -3. Let f be 24\/i*(2 - 4\/3). Suppose 4 = 2*g - g. Solve -8 = 4*p - 4*j, -p + 3*j - f = g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 15 = 2*x, -4*x - 336 = -107*k + 179 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -137265 divided by -5\nAnswer: 27453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6169208 litres to millilitres.\nAnswer: 616.9208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 6200000 = 0. Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4271631988 to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/15 + (-28)\/567*18 - 4\/36.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*f + 558, -v + 1403 = -5*f + 2*v. Let g be ((-4)\/(-14))\/((-4)\/f). Solve 2*o = 6*o + g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 + 3*i**2)*(-4*i - 4*i - 3*i).\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0 + 6 - 4)*(59*t - 3 + 3).\nAnswer: -236*t**2 + 118*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 116 = -2*l. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2619148 times -0.18\nAnswer: 471446.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13337595 and 405?\nAnswer: 40012785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -184, -607, -1428, -2779, -4792, -7599, -11332?\n\"Answer: -22*g**3 - g**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 180*x**2 - 2*x + 7206*x**3 - x - 7236*x**3.\nAnswer: -30*x**3 - 180*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 37*c = -8. Let t(n) = 3 - 6 + c. Let m(k) = -1. Let j(z) = -z**2 - z - 1. Let r(u) = j(u) + 3*m(u). Calculate -r(d) - 5*t(d).\nAnswer: d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 + 60*v**2 - 12*v**2)*(-1 + 2*v + 1) + (-v + v - 2*v**2)*(-4 + 3*v + 4).\nAnswer: 106*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110232331 (base 4) in base 6?\nAnswer: -1453101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o + 512 = 5*v, 61*o = 126*o - 60*o + v - 80 + 28 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3333 + 3333.14. What is the fourth smallest value in -4, 3\/5, 1\/3, -1\/4, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:00 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/18)\/((-88)\/33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(10\/6 + -4). Let b = k + -4. Suppose b*w - 1 = 6*c - c, -2*w - 2 = -2*c. What is the third smallest value in 0, -5\/2, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 35. Let w(n) = 2*n**2 + 12*n - 27. Calculate the remainder when w(6) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -25185, -6, 3 in decreasing order.\nAnswer: 3, -6, -12, -25185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-65)\/((-7540)\/(-87))*12\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11627 + 14588. Calculate the greatest common factor of 63 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1847942\nAnswer: -2\/923971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -8 - (1 + -1). Suppose s + 3 = j. What is the remainder when 46 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -8. Let n = p + 7. Let u = n - -8. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(3 - 2 - 2)*(-523 + 2125 + 1276)*(0*w + 2*w + 0*w).\nAnswer: -5756*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3972\/(-546)*(-63)\/(-540) + 20\/(-390)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**2 + 14*u - 21*u - 132 + 9*u**2 + 7*u to the form w*u + a + x*u**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 495580769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*n - 314*n + 2120*n.\nAnswer: 2058*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 59 - 13 = -5*p, -12 = -l + p. Suppose l*i + 134 = -118. Is (i + (-8 - -8))*14\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 3*q**2 + q. Suppose 0 = 9*v + 4 - 40. Let o be y(v). Solve o = 4*l, 2*l = -4*j + 5*l + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let t(z) = -z**3 - 10*z**2 + 15*z - 9. Let h(o) = 5*f(o) - t(o). Let l be h(-11). Let j = -408 + 408. Sort j, l, -2 in decreasing order.\nAnswer: l, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -13. Let i = -9 + z. Which is the closest to i? (a) -1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 907*l**2. Let p(k) = 1 - 972573*k - 3 + 2 + 972577*k. Determine b(p(q)).\nAnswer: 14512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/28*4\/3. Solve -p = -v*t + 7, 3*p + 2*t = 2*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 0*j - j + 3*j - 2*j + j + (-6 + 1 + 3)*(-j + 3*j - 3*j) + (-1 - 2 + 2)*(-j - 2*j + 5*j) - 5*j - 2 + 2.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -2*w - 229. Suppose -2040 = -3*p - 3*g, w*g + 15 = 40. Calculate the greatest common divisor of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29260.\nAnswer: 2, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8 - -22 - 47 - -23) + 2 + -75?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 231 - 229. Solve 0 = -b*z + 8, -4*z = 4*k - 3 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - 4*i + 8. Calculate n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -10 - (21 - (19 - 9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1474218, 2948396, 4422574?\nAnswer: 5896752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**4 - 198*k**5 + 8*k - 888*k**5 + 16*k**2 - 24*k**2 + 6*k**4 wrt k.\nAnswer: -65160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10441 - 3?\nAnswer: -10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 - 9*t + 15. Let d be o(-9). Solve d = 3*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 - 110. Let z = -383\/6 + o. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 - 6)*(19*a**4 + 1039*a**2 - 1039*a**2) + (2 + 0 - 4)*(a**4 + a**4 - 3*a**4).\nAnswer: 211*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48141 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 6. Let i(l) = -7*l - 25. Let a(m) = -2*i(m) - 9*q(m). What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/828 and 139\/45860868?\nAnswer: 1054799964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - 2*q**2 + 11*q**2)*(-15*q**2 - 39*q**2 - 15*q**2).\nAnswer: -1035*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = 3*h. Let z be h\/(-3) - 2\/(-3). Put -1, 3, z in increasing order.\nAnswer: -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 457924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10829.8 - 10830. What is the nearest to -0.1 in 7, i, -16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3193*k + 2404*k - 5599*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + z**2 + z - 1. Let q be f(1). Let y(o) = 1 - 4 + 6 + 5*o. Let d(j) = 4*j + 3. Let c(g) = 6*d(g) - 5*y(g). Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.0936\nAnswer: 0.1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 196*o**2 - 6*o - 4. Suppose -15 = 2*b + 3*q, -3 = -4*b - 2*q - 29. Let z be h(b). Suppose 0 = 5*l + 1338 - z. What is l rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*k + 456, 5*k + 4*h - 1759 = -593. What is the greatest common divisor of k and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 523*c**2 + 227*c**3 - 523*c**2 - c + (4*c**3 - 5*c**3 + 3*c**3)*(-1 - 4 + 3).\nAnswer: 223*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-875370628)\/6*(-24)\/16. Suppose 366357343 = 11*c - u. Round c to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3895cc (base 14) to base 10\nAnswer: -1946656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 42 - 14 = 0. Suppose b*a = 30*a + 5689394. Let l = a - 155303. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*s - 18*s - 20*s**2)*(3*s - 3*s + s + (-s + 2*s + 0*s)*(3 + 1 - 3)).\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8b94 (base 13) to base 3\nAnswer: -222211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 3*b**3 + 9 - 4 - 9*b**2 - 2*b**3. Is 11 a factor of n(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let n(p) = -p - 7. Let y be n(-18). Let q(k) = 105 - 105 - y*k**2. Calculate q(u(m)).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 812. Let i(j) = 19*j + 1638. Calculate -4*i(a) - 9*q(a).\nAnswer: 5*a + 756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426611 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 33537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42588 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c. Suppose -17*m = -115*m - 2*m - 200. Let f(d) = 35*d - 1. Calculate m*f(p) - 7*o(p).\nAnswer: 14*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212011223 (base 4) in base 7?\nAnswer: 1216562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -75*a - 20. Let i(k) = 6*k**2. Determine q(i(z)).\nAnswer: -450*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201111112 (base 3) in base 13?\nAnswer: 333cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -20. Suppose 28 = i*b + 5*b. Solve 2*x = -2*o - 3*o - 6, 0 = b*o - 4*x - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:47 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b**2 - 39*b - 2. Let h be j(-2). Solve 16*l + h = -32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/878750 and 81\/548?\nAnswer: 240777500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2. Let g(l) be the third derivative of -l**4\/6 + l**2. Determine g(m(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(3\/14))\/y)\/(y**(-3\/4)\/y) assuming y is positive.\nAnswer: y**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r - 4. Let w be k(3). Let z(x) = 3 - 5 + 6 + 4*x + x**w. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, w: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19275998 is divided by 69?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.73076 kilograms to tonnes.\nAnswer: 0.01673076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 119. Sort -12, 5, -1, o in decreasing order.\nAnswer: 5, -1, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-28)\/(-4) - ((3 - -1) + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 9. Let j(q) = q**3 + 2*q**2 + q. Let c be j(s). Solve 0 = -3*p + 3*i - 9, c*i - 2*i = -3*p - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:48 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65.52 - 65.72. Which is the second smallest value? (a) p (b) 0 (c) -5 (d) -0.93 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 265 = -290. Is 32 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7268, -8730, -10194, -11660, -13128, -14598, -16070?\nAnswer: -17544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465.921 centimeters in meters?\nAnswer: 24.65921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 145\/4. Calculate the common denominator of 111\/494 and z.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/1740*-24*115?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6192 - -3?\nAnswer: -618a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + 1*sqrt(171))*2*-2)\/(sqrt(225)*3*3))**2.\nAnswer: 1216\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 50 = -65. Let x(d) = -4*d + 1. Let q be x(-1). Suppose -5*u - q*f + 1 = -4, -4*f - 8 = 0. Solve 0 = 2*h - u*a - b, 2*h + 17 = -4*a - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/504)\/(8\/(-6))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 526*f + 3720. Let a be z(-7). Is -0.36 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 186*x - 172. Let a be b(-3). Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -644 + 1516. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 61.4. Let f = r + -6.4. What is the nearest to f in 6, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 15*q**2 - q + 17. Give g(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1749772 = -38494957\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -125?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 + 6 - 59*h**2.\nAnswer: -59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9667775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/3360 + p**6\/480 - p**4\/24 - 7*p**3\/6 + 3*p**2\/2 + 24*p - 2. Let g(c) be the second derivative of i(c). Factor g(m).\nAnswer: -(m - 2)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c - 45 - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13 - 2*v - 5 - 4. Let n(q) = 4*q - 7. What is 6*n(x) + 11*t(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 4*d - 66. What is the hundreds digit of 447\/d*(-2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 - 2488*f - 1142. Calculate k(277).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0599774 and 0.13?\nAnswer: -0.007797062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1353 - 1352.5. Let m(q) = -q**3 - 3*q**2 + 2*q + 1. Let r be (-8)\/3 - 3\/9. Let y be m(r). Which is the third smallest value? (a) -0.2 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52817 is divided by 1056.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 8512.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 < 968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115702226.\nAnswer: 2, 73, 792481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 912528*w**3 - 535295*w?\nAnswer: 5475168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.6, -49 in ascending order.\nAnswer: -49, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 1, o: 2, y: 1, w: 1, k: 1}. Give prob of sequence kybo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 2915 + 3*h**2 + 2910 + 2*h**2 + h**3. Let n = 25 + -17. Suppose -10*r = -n*r + 10. Calculate j(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/12 - i**3\/3 - 3*i**2 + 3. Let h(b) be the second derivative of r(b). What is the tens digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 + 1.78. What is the third biggest value in w, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v**2 + 3\/2*v**5 - 45\/2*v + 21*v**3 - 27\/2*v**4 - 75\/2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 192. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -494, -1076, -1640, -2180, -2690, -3164?\n\"Answer: l**3 + 3*l**2 - 598*l + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10880 and 912560?\nAnswer: 7300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147.7 - 146.629. Let l = k - 0.071. Which is the nearest to -0.1? (a) 0.4 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -2, -1, -5 in increasing order.\nAnswer: -15, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16398, -32832, -49286, -65748, -82206, -98648, -115062, -131436?\nAnswer: -147758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h. Suppose -10*o - 2 = -11*o. Let r(y) = y**2 - 3*y**o + y**2. Calculate k(r(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3 + 1. Let q be 0 + 2 + (-2 - d). What is the units digit of 8 - 1\/(-1 + q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*3)\/(sqrt(98)*-1))**2.\nAnswer: 180\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267, 580, 907, 1254, 1627, 2032, 2475?\n\"Answer: u**3 + u**2 + 303*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*b = 4*k + 1, -b = k - 7. Let x(t) = 21*t - 2. What is the units digit of x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-1 - 5)) + (-24 - -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 3\/7, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**6\/180 - q**5\/15 + q**4\/3 + 20*q**3\/3 + 16. Let g(a) be the third derivative of w(a). Suppose g(x) = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from {k: 3, f: 5, y: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 82*m**2 + 30 - 23.\nAnswer: 82*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + m - 9 = 0, 11 = -3*n + 5*m - 8. Suppose -4*x + 332 = 4*k, -n*k = 3*x - 197 - 56. Let f = -55 + x. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3435 and 209825.\nAnswer: 144149775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29732 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234723093\/1316 + -178361. Calculate the common denominator of -69\/98 and b.\nAnswer: 9212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.818557 decades in years?\nAnswer: 98.18557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = -2*w + 5*b, 14 = -2*w + 4*b. Let i(d) be the third derivative of d**4\/24 - 82*d**2. Let o(u) = 4*u + 2. Give w*o(a) - 5*i(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/(-418) + 26\/33)\/((-10)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - q + 14944, -2*m + 243*q = 248*q - 14960. Is m a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*o + 3*b, -5*o = -2*b + b + 19. Let r be (-32)\/(-3)*(-6)\/o. What is the second derivative of 128 - 128 + r*v + 16*v**2 wrt v?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d + 420 = 20*d. Let z(p) = p**2 - 2*p + 31. What is the tens digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = i - 3*y - 42, -4*i - 5*y = -10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxff when four letters picked without replacement from {f: 13, x: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.023, 0, 0.4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/(p\/p**(2\/79)))\/p*p))\/p*p**(-1\/5) assuming p is positive.\nAnswer: p**(-484\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-20))\/(-7)*(-12)\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-d**3 + 3*d**3 + d**3) + (0*d**2 + d**2 + d**2)*(-2*d + 3*d - 2*d) - 6*d**3 - 3*d**3 - d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*g - 4*p, -5 = 13*g - 10*g + p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 285, 258, 211, 138, 33?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151174365 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258 (base 9) to base 4.\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.218627324\nAnswer: -0.0874509296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/3 - 36*g = 0. What is g?\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20586?\nAnswer: 2, 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2704.2000044542 + -2704.2. What is m rounded to 7 decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3575460 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1342*h**3 + 11*h**2 + 116*h - 19. Let m(f) = -447*f**3 - 4*f**2 - 40*f + 6. Let l(d) = 3*k(d) + 8*m(d). Find the second derivative of l(p) wrt p.\nAnswer: 2700*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 51\/(-18))*-4 - 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55473108 to the power of 1\/2, to the nearest integer?\nAnswer: 7448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -29. Let q(s) = 2*s**3 + 63*s**2 - 38*s - 42. What is the remainder when q(d) is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 42*g**2 - 1640*g + 54. What is y(39)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, 0.1, -1\/3, -1503?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 35*a**3 - 47*a**3 + 14*a**3 to the form o + t*a + z*a**2 + f*a**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - n**2 + 7*n. Let i(t) = 27*t**3 + 5*t**2 - 49*t - 5. Determine -i(o) - 5*l(o).\nAnswer: -17*o**3 + 14*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (72\/96)\/(-4 - (-28)\/(-32))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 20*q**2 - 13*q + 27. Calculate the remainder when d(-21) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409*-3.\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.872 - 0.028. Put i, 0.3, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62511433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 18*j + 2. Let f be i(18). Suppose 3*v - 224 = f*d + v, 4*d - 2*v + 444 = 0. What is the tens digit of ((-6)\/6)\/(2\/d) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -1\/3 (c) 4\/7 (d) -0.2 (e) 832\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 767*k - 6141. Let a be d(8). Sort 21, a, -181 in decreasing order.\nAnswer: 21, a, -181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:34 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2168 and 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 0*o**4 + 2*o**4)*(315 - 3012 - 4233 - 2384 + 1979 - 260).\nAnswer: 7595*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 97*z**2 + 464*z + 421. List the prime factors of s(95).\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d + 5*v = -19, -v = 2*d + 15. Let x(c) = c**3 - 4*c**2 - 4*c - 4. Let b be x(5). Is 8 a factor of (-22)\/d*8\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 9\/10 (c) -372\/25 (d) 0 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11)\/(g\/(g*g\/(g*g**9))))\/(g**(1\/3))**(2\/109) assuming g is positive.\nAnswer: g**(-33049\/3597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, 6, 21, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 306877, 613757, 920637?\n\"Answer: 306880*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - u**4 + 2*u**4)*(0*u - u - 13 + 12).\nAnswer: -3*u**5 - 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 376, 373, 370, 367, 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 116 = -11*c, -3*w + 1198*c = 1195*c - 66 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3 + 1 + 4 + m**2 + 2*m. Let t(b) be the second derivative of -b**3\/2 - 15*b**2 + 15*b + 1. Let p be t(-9). Determine a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))\/(a\/((a*a\/a**(-1\/6))\/a)))**(-1\/2) assuming a is positive.\nAnswer: a**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - b - 1. Let l be h(2). Let m(a) = a**2 + 3*a + 4. Let s be m(-5). Let f = 18 - s. Solve l*q = f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -17*l. Let g(m) = 3*m**2. Determine p(g(h)).\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let q be 1*-3*(-16)\/6. Suppose 2 = -b + h, 3*b = 4*h - 2*h - 2. Let t(n) = -2*n**b + 8 - q. Give t(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2752.10779 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*-8*(-4)\/96?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 888313 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5517157732?\nAnswer: 2, 59, 23377787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 h when three letters picked without replacement from {l: 1, q: 1, h: 2, k: 1, x: 1, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902*c + 905*c - 9 = 0. Let j(q) be the first derivative of 0*q**c + 0*q**2 - 5*q + 2\/5*q**5 + 0*q**4 - 4. What is the first derivative of j(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542949439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 25 - (21 - 14)) + (4 - -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3202890 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 100002202?\nAnswer: 100001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47777128.\nAnswer: 2, 7, 43, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(200)*-1)\/(-1*sqrt(484)).\nAnswer: 20*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 8*s + 2. Let i be z(-6). Let f = 29 - 21. Suppose f*d = 15*d - 14. What is the greatest common factor of d and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((75\/(-144))\/(435\/(-348)))\/(-5))\/((-2)\/156)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2979 - -6645. Calculate the highest common divisor of k and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 3*y - 2. Let c be h(4). Let r = -62 - -89. What is the highest common factor of c and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17066 and 510202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-40)\/42. Let o = 22.764 + -22.9. Let s = o - 0.364. What is the nearest to s in -2\/5, 3, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (-1 + sqrt(343) + 2 - sqrt(343)))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245909?\nAnswer: 245909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 519 = 345. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020121121000 (base 3) to base 8.\nAnswer: -2414203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-344)\/(-56) - 7\/49 - (7525 - -3). Is f < -7523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 10*s - 11. Let g be a(-8). Suppose -2*i + 3 = -g. Suppose 5*d - 27 = 3*d - 3*k, i*d + 3*k = 51. Solve 4*f + m - 16 = -m, -3*m = -d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90982127*j + 90982085*j - 2982 = 0 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-12))\/((-15)\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 15912*x**2 + 31836*x = 0. Calculate x.\nAnswer: -5306, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i**3 + 7*i**2 + 4*i - 7. Let n be (-2 - -6) + (4 - 3). Let j(a) = 8*a**3 + 5*a**2 + 3*a - 5. Determine n*o(l) - 7*j(l).\nAnswer: 4*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27625 - -27626. Let q(w) = -5*w**2 - 2*w + 2. Let f(l) = 3*l**2 + l - 1. Let c(g) = 7*f(g) + 3*q(g). What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 13*c + 0*c)*(c - c + 2*c) + (-c - c + c)*(c + c + 2*c) - 9*c**2 - 9 + 9 as k*c + q*c**2 + m and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14795728 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (3 - 8 - -2*21\/6). Solve 22*k + 12*k - 136 = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3686.68 times -1\nAnswer: 3686.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -383, -15 in descending order.\nAnswer: 1, -2, -15, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8216 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 908*d**2 - 4 + 2 + 1 as x*d**2 + o + u*d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, 404, 2101, 5598, 11495, 20392, 32889, 49586?\nAnswer: 71083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 - -2) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249801278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/((-215)\/344*4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 5*h + 7. Let z(p) = p**2 - 7*p + 10. Let a be ((-473)\/(-66) - 7)*30. Calculate a*z(f) - 7*w(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 10003 + 3*(160\/12)\/(-8).\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qzkrrqcik?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -542754*q**2. Let w(n) = 15*n. Calculate j(w(x)).\nAnswer: -122119650*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7802 divided by -1.\nAnswer: -7802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 4*n**4 - 25*n**3 - 26*n**2 - 8*n.\nAnswer: n*(n - 4)*(n + 1)**2*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 264*h**2 + 2313*h - 70956.\nAnswer: 3*(h - 12)*(h + 27)*(h + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -40, -34, -28, -22?\n\"Answer: 6*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4038)\/38361)\/((-116)\/76)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*u - i, 3*u - 15 = -5*i + 14. Solve 0 = -r - 0*r - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2590227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*b - 128*b = 118*b - 56 + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32124 - 1?\nAnswer: -32125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y**3 - 37*y**3 - 39*y**3 + 48*y**3 - 37*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14603\/672 + 663\/32. Let m = -841\/5 - -6353\/40. What is the common denominator of m and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1106 - -2c8?\nAnswer: -b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*p**2*q**4 + 7*p**2*q**2 - 2*p*q**4 - p*q**2 wrt q.\nAnswer: -600*p**2*q - 48*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/2)*21\/105\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 764 + -751. Solve -y*l + 11*l + 18 = 2*o, -3*o = -5*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let h = f - -8. Suppose 4*z = -q + h*q + 38, -q + 26 = 3*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219326 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -924*g**2 + 57246*g + 2663. Determine h(62).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1257429625 to five decimal places.\nAnswer: 0.12574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 569442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + 1.18. Let l = 9 - 8. What is the closest to l in f, 2, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 58 = 5*z, -7*z = -2*z - 25. Let i(l) = 33136 - 33136 - s*l. Let n(m) = 7*m. What is n(i(b))?\nAnswer: -77*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 3603990 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(448)*-2 + 0 - (sqrt(448)*1*-2 + sqrt(448))) + 0 + 1)**2.\nAnswer: -12099 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 17*p\/4 + 33\/4.\nAnswer: (p + 3)*(2*p + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(-16)\/104. Which is the closest to 1? (a) -3\/2 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1860992 and -97\/1242046.\nAnswer: 556436608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48.1972 - 98\nAnswer: -49.8028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -9) + -57 + 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2621*p - 870*p - 874*p - 880*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6668664743 take away 47.23?\nAnswer: -6668664790.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/21 - (-4)\/(-28). Which is the fourth biggest value? (a) k (b) -4 (c) -2\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 128\/42)*(-8 + 2)*21\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 26*t**2 + 66*t + 281. Let n be j(-28). Put n, -11, 3, -6 in decreasing order.\nAnswer: 3, n, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -583\/28595 + 6\/215. Calculate the common denominator of c and -59\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) 2 (d) -0.04 (e) -1\/466 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009120624429 rounded to 4 decimal places?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/(((-1207)\/(-510))\/71).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6.1. Suppose 3*i - 3*s - 495 = 0, 0 = 4*i - 2*i + 3*s - 310. Let g = i - 804\/5. Put -5, l, g in descending order.\nAnswer: g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4234075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -1cc8?\nAnswer: 1cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/6*(-7368)\/24560.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 255\/2*2\/3. Suppose 4*m - w = -m. Suppose 2*l - 21 = 13. Calculate the greatest common divisor of l and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 12*p - 7*p - 175, 5*p + 3*n - 170 = 0. Suppose -63 = -8*a - p. Suppose -6*t = -9*t + 9. Solve -z + 3*z = -t*g + 8, a*g - 3*z = 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b + 8. Suppose 10*z - 15 = 5*z. Let d(l) = 4*l - 3. Let r(s) = z*y(s) + 8*d(s). Let o(c) = 5*c - 4*c + 3*c. Calculate o(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1564 + -10950\/7. Which is the closest to 0.1? (a) u (b) -7 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 - f - 1. Let u be t(2). Let c = 0 - u. Solve -c*i - 5 = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*b**2*z**5 + b**2*z**2 + 7*b**2*z + 2*b**2 + 2 wrt z.\nAnswer: -860*b**2*z**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let l = 155.1 + -147. Let c = l - 8. Is c smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -31, -58, -87, -112, -127, -126?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -18 - (59 - 52 - (1 - -46))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 18*t + 47. Let s(k) = 3*k**2 - 10*k - 23. Give -4*m(b) - 7*s(b).\nAnswer: -b**2 - 2*b - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2 (b) -4 (c) 1502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-36) + 6\/(-9) + 3. Calculate the greatest common divisor of w and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(-1 + 0 + 3)*(-2 + 7 + 18)*(-8*z - 26*z + 2*z) to the form o*z + k and give o.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1515 and 4700136.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 158. What is x(66)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10021, -20114, -30239, -40396, -50585, -60806, -71059?\nAnswer: -81344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (753*c + 4373*c - 300*c)*((2*c**3 + 0*c + 0*c)*(-1 + 0 + 0) - 1 + 0 - c**3 - c**3).\nAnswer: -19304*c**4 - 4826*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from qrjlqjuv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -258775 and -0.1.\nAnswer: 25877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 4*p - 99. Is j(11) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189701120\/13 or 14592395?\nAnswer: 189701120\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 6418*r - 3208.\nAnswer: -2*(r + 1604)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 + 3 = 0. Let j = f + -8. Suppose 3*c = j*c - 12. Solve 0*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 290\/(-609)*2\/(-32)*-4*168\/18?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*m*m\/m**(-3\/14)*m\/(m*m**(3\/22)\/m*m)*m*m**(5\/12) assuming m is positive.\nAnswer: m**(865\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 290*t**2 - 266*t - 474. Let q be k(-74). What is q rounded to the nearest ten thousand?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0147 or 1.7?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 2889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbboyg. Give prob of sequence by.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*m + 1418*m - 426*m - 673*m**2.\nAnswer: -673*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.3 != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v. Let y(m) = 3367 - 3365 + 2*m - 6*m. Let g(t) = 17*t - 9. Let o(l) = 2*g(l) + 9*y(l). What is o(s(a))?\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 3 (c) -2\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 3*s - 3. Let t be a(6). Let p be 4872\/36 - (-1)\/(-3). What is the highest common divisor of t and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6988.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 32. Let x(u) = u**3 + u**2 + u. Let o be x(a). Let y = o + 30. What is the least common multiple of 26 and y?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(33\/1628). Let q be -1 + -3 + v\/(-18). Put q, -8, -0.2 in increasing order.\nAnswer: -8, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**3*g**2 + 57*d**3 + 80*d**2*g**3 wrt g?\nAnswer: -8*d**3*g + 240*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/3960 + l**5\/1320 - l**4\/132 + 15*l**3\/2 - 2*l - 2. Let j(a) be the second derivative of i(a). Solve j(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.475 and 549638465?\nAnswer: 549638465.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 a when four letters picked without replacement from zzazaoaaaz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85429033 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - -2.3. Let r = z - 2.8. Sort r, -0.3, 6 in ascending order.\nAnswer: -0.3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 66. Let y = x - 33.56. Let v = y + -0.94. What is the nearest to -1 in -0.4, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 33. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2581*w = 346*w - 67050 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r - 2)*(0*r + 77*r + 2*r).\nAnswer: 79*r**2 - 158*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 5*m + 4. Let o(n) = -2*n**2 + 6*n + 4. Let u(c) = 3*h(c) - 4*o(c). Let y be u(-4). Let z = -1455 + 1455. Solve z - y = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92186 (base 14) to base 3.\nAnswer: -122212020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202120210121 (base 3) in base 16?\nAnswer: -16669c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 162848389?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and -16?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 42 = -32*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -2*y - 17, y = -u - 3. Let l be 176 - (-1)\/(u\/8). What is the highest common factor of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-23 + 27)) + -8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -138?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 7*n**2 + 4*n - 27. Suppose -9*o = 105 - 168. Calculate x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -308. Suppose 2*v + t + 1 = 6*t, -t + 1 = 0. Suppose 13 - q = -v*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:25 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -5 (c) 47656103\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/((-2)\/(-2)))\/(-1). Suppose 6 - 24 = -3*j. Let p be j + 15\/(-2) + 3. What is the second biggest value in p, k, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8022913 is divided by 922.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/12355 and 40\/70791.\nAnswer: 124946115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:03 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81878 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*s - r, 55 = 2*s - 5*r + 94 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 237*g - 250*g - 416, -4*p + 160 = -5*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-196)*-12 - 7480\/238.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 30, 82, 144, 210, 274, 330, 372?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 506 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 12 + 2 = 0. Suppose 0*s = n*s - 3680000. Round s to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*t - 14, 5*t = -5*j - 0*j + 40. Let n(f) = 13*f - 5 - 9*f - 3*f. Let d be n(j). Put 3, d, -4 in increasing order.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/4*(12\/(-3))\/4. Let v(l) = -l + 1. Let o(a) = 6*a - 13. Let q(g) = s*o(g) + v(g). Calculate the remainder when 15 is divided by q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 556 and 70648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 1 + (-38)\/42 + 592\/(-777)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsgrbfr. Give prob of picking 1 x, 1 f, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*p**3 + 30*p**3 + 2*p - p**2 + 18*p**3 as y*p + b*p**2 + x + i*p**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*n**5 - 3 + n**5 + 3 + (-3 + 3 + 3*n)*(3 - 2*n**4 - 3) + n**5 - 3*n**5 + n**5 + (-n**2 + n - n)*(n**3 + 8*n**3 - 5*n**3).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10138050.6 times -2?\nAnswer: 20276101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + r + 6 = 0, -3*i - 4*r - 7 = -25. Solve 75*j - i*j = 414 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29556 (b) -1\/2 (c) -0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1933.53 - -1933.6. What is the fourth smallest value in q, 1, -0.09, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3136, -2737, 1 in ascending order.\nAnswer: -2737, 1, 3136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 10*p + 3. Let b be y(10). Suppose b + 1 = k. Is k smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:19 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-4350)\/(-275) + 0\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - (9 + -6)) - (-25 + 21 + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5 - 2891*p**4\/5 - 23373*p**3\/5 - 8797*p**2 + 11624*p\/5 + 11724 = 0.\nAnswer: -5, -2, 1, 2931\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t - 3*t)*(-1 - 1 + 4 + (-4 + 3 - 1)*(-1 - 2 + 2) + 3 + 0 - 2)*(-29*t**2 + 29*t**2 - 48*t**3).\nAnswer: 480*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 32 = 21*t - 17*t, 32 = 5*i + 3*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 20*b + 60, -4*j - 3*b + 70 = -9*j + 113 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**3 - 4*d**2 + 14*d - 6. What is the remainder when z(4) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1516 + 1518. Calculate the greatest common divisor of z and 5646.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -11. Put j, -5, -2 in ascending order.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 2*x)*(-365*x - 20 + 11 + 9) to the form m + o*x + r*x**2 and give r.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/(9\/(-63)*(-10 - 3))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:14 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 1\/45*g**6 - 3*g + 0*g**2 + 1\/30*g**5 - 1\/18*g**4 + 0 - 1\/9*g**3. Determine l, given that c(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + -4) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*v - 115*v = -10. Let p be (2\/6)\/((-1772)\/888 + v). Let k = 326 - p. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15266.4 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/5, -2\/11, -0.4, -5 in increasing order.\nAnswer: -6, -5, -0.4, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/30 + c**4\/24 + 13*c**3\/3 + 23*c. Let y(u) be the second derivative of h(u). Let v be 6 - -3*4\/(-3). Determine y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*r = -216, 5*y - 2*r - 411 = 101. What is the units digit of (y\/(-16))\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q - 4 - 4*q - 7. Calculate w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 981 + -6865\/7. Which is the second smallest value? (a) 16 (b) k (c) 2\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 0.0182 (c) 5 (d) -449 (e) -0.1 (f) 0.5 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -20\/9 (b) -394.8 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2256 and -97\/12?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11309*w + 3265*w = 723960 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/117*0 + 1\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -13. Let s = v + -37. Suppose -211 = -3*i + s. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4 - 19*h**3\/3 + 5*h**2\/2 + 472. What is d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 232.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 + -282. Solve -v = y*u + 1, v + 8 = -u + 2*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 490*i - 2308. Let v(y) = 2*y**2 - 5*y - 1. Let q(z) = c(z) - 5*v(z). Differentiate q(j) with respect to j.\nAnswer: -4*j + 515","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2404*y - 57060. Give d(24).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -30, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s = 758*s + 7286 + 22849 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and (-2)\/(-72) - (-28)\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 5*q**3 + 6*q + 2*q - 3*q.\nAnswer: -5*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14454 is divided by 4812?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 2, h: 2, e: 2, v: 10, n: 1}. What is prob of picking 1 n and 1 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 + w + 2. Suppose -4 = -3*f + 2*f. Let x be k(f). Suppose 0*y - x = -2*y. Let b(m) = m - 4. What is b(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -56*t**3 + 106*t**2 + 5*t + 5. Let m(a) = -a**3 - a**2 - a - 1. Let b(w) = -2*i(w) - 10*m(w). What is the third derivative of b(f) wrt f?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2 + 7. Let v(x) = -3892*x**2 + 1313*x**2 + 1314*x**2 + 1290*x**2. Give v(f(z)).\nAnswer: 1225*z**4 - 2450*z**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8385089?\nAnswer: 29, 289141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*z**2 + 86*o**2*z - 5*o*z**2 - z**3 wrt z?\nAnswer: 4*o**2 - 10*o - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = -5*w, 0*m - 2*w + 10 = 2*m. What is the remainder when 56 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.95276 + -0.02276. What is h rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800605 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 -15*l + 1180 = 70. Calculate the remainder when l is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3, -0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1 + 2) + 1. Let d(p) = 0*p + 21 - 10 - i*p + p. Let r be d(8). What is the smallest value in -0.3, 0.4, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115477 is divided by 1367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11091857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152 = -33*j - 1591 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/((-6)\/(-10)))\/(-1). Suppose 5*y - 2*i = 2*y + p, -y = 5*i + 4. Calculate the smallest common multiple of y and (-100)\/20*4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71316 and 96516?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 43*m**5\/6 + 187*m**4\/24 - m**3\/2 + 914*m**2. Find the second derivative of o(b) wrt b.\nAnswer: 860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**5\/60 - 3*m**2\/2 - 4. Let n(q) be the second derivative of b(q). Let l(o) = -o**2. Determine l(n(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8089 - 3.83. Round l to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/134)\/(2 + -1). Let b = -5768625355\/938 + 6149921. Let f = i - b. What is the second smallest value in -2\/3, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2536 - 2536.4. Let k = 33 - 98\/3. What is the closest to k in -18\/5, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15405 - -15407.7. Let s = -0.3 - 0.7. What is the biggest value in x, -0.4, -3, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 620.75, 0.2, -13\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -27. Let w be (3\/((-45)\/10))\/(s\/24). Let n(i) = -11*i - 27. What is the tens digit of n(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/24)\/(2\/(-12)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -1 - (8 + -14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7*p - 2*p + 4*p)*(0*p**3 - 4*p**3 + 3*p**3).\nAnswer: 5*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 320 = 0. Suppose 37 - 13 = y + 4*n, -5*n = -4*y + 12. Let c be 222\/24 - (-6)\/y. What is the highest common factor of c and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2840\/15 - (-2)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*y + 3, 0*k - 17 = 3*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/7 - ((-44)\/(-7) + -6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 - 28*o - 34. Determine p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**0)*j*j**(-2\/15))\/(((j\/(j**(-3)*j))\/j)\/(j*j**(-5\/2)\/j)) assuming j is positive.\nAnswer: j**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -20. Let o = -296 - -304. Calculate the highest common divisor of d and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671 and 130492725?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t - 100. Let z be i(-11). Let q(g) = g - 3. Let x be q(z). Put -0.1, x, 3\/98 in increasing order.\nAnswer: x, -0.1, 3\/98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73174498 is divided by 2286703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -410 + 18. Let g = i - -191. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**2 + 21*d*l**2 - 5*d - 243*l**2 with respect to d.\nAnswer: 8*d + 21*l**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**2 + 2*l**2 - 4 + 4*l**2 - 7 to v + x*l + p*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -13, 4 in descending order.\nAnswer: 4, 1, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*5824\/(-42). What is the highest common divisor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61672.34ng in kilograms?\nAnswer: 0.00000006167234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 2*p**3 + 3*p**3)*(-7*p**2 - 17*p**2 + 7*p**2) + (p**3 + 3*p**3 - p**3)*(5*p**2 - 4*p**2 + p**2).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -p - 4*b, 2*p - 6*p + 2*b = -14. Let u be (15 - 4\/(-2))*p. Solve 0 = 4*v + 1 - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12*h = 13*h + 5, 7 = -j - 3*h. Let f = 2 + -1.8. What is the closest to 1\/3 in f, 5, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 977? (a) -4 (b) -14\/5 (c) 0.3 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -235?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.04 - -2.14. Are p and 65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6335 by -12750.\nAnswer: 1267\/2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 + -5. Let c = g - 0. Let o = c - -0.7008. What is o rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 18*x + 54 - 54. Let q(d) = -15*d + 48. Let g(z) = -2*z + 6. Let p(f) = -24*g(f) + 3*q(f). Give y(p(o)).\nAnswer: -75*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/p**22*p*p**(-1\/29) assuming p is positive.\nAnswer: p**(-523\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 4*g + 3. Let s be z(2). Let p = 185.239 + -185.039. What is the closest to s in 1, p, 0.21?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/v**(4\/15))\/v*v))\/v**(-21))\/(v**14\/v**33))**49 assuming v is positive.\nAnswer: v**(29596\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 11*f**2 + 1. Let d be m(11). Let o be (d + 0)*(6 + -1). Let p = o - 10. Sort -1\/5, 0, p in increasing order.\nAnswer: p, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 21*a**2 + 16*a**2 + 27*a**2 + 33 - 62*a**2 + 53*a as d*a**2 + v + z*a and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14359*u + 406 = 14373*u. Suppose 0*l - 129 = 3*l. Let w = l + 72. Calculate the highest common factor of u and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + d1b5?\nAnswer: d152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.675 - 2.075. What is the closest to 1 in z, -0.1, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*y**5 - 114*k*y**3 + 96*k*y - y**5 + 5*y - 8 wrt y.\nAnswer: -20*k*y**3 - 684*k*y - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/3)*z)**(1\/8)\/(z**(2\/15)*z\/(z\/z**1)))\/((z**(-2\/3))**(-44)*z**3*z**(-6)) assuming z is positive.\nAnswer: z**(-407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, 5, -4\/65661, -0.3, 6\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3588.93 kilograms to grams.\nAnswer: 3588930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - 28\/(-8). Let h(n) = n**2 - 6*n - 2 - 1 + z*n. Does 3 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jtjtttjtjjmtjmjtett?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10604, -10536, -10416, -10238, -9996?\n\"Answer: y**3 + 20*y**2 + y - 10626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 223300333 (base 5) to base 8\nAnswer: 3625063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 10*t**2 - 7*t - 57. Let v(q) = -2*q**3 + 9*q**2 - 6*q - 56. Let y(k) = -6*c(k) + 7*v(k). What is the first derivative of y(r) wrt r?\nAnswer: 12*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 14 - 110. Let g = 48 + q. Calculate the remainder when 2\/(3\/(-366)*-4) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12230034*q**4 - 15*q**3 + 8474*q - 8225?\nAnswer: 146760408*q**2 - 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:40 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17762, 35494, 53226?\n\"Answer: 17732*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -5706\/5 and -1142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l + 4*d, 2*l - 3*d + 0 = 5. Let g(t) = -t**3 + 7*t**2 + 15*t - 54. Let m be g(8). Solve -2*u = 2*u - 5*i - m, -2*u = -l*i + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -743, -1455, -2309, -3227, -4131, -4943, -5585?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3 + 0*l - 1\/3*l**4 - 104\/3*l**2 + 0.\nAnswer: -l**2*(l - 26)*(l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202118831 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003079027698 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 12*a + 18. Calculate z(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3243784 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-18) + (34\/(-9) - -4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194508584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 64*v - 28 = -29*v, 266*o + 61 = 269*o - 4*v for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 215. Suppose -5*h = -4*g + 7*g - 74, -43 = -g + 2*h. Suppose p - 92 - g = 0. What is the remainder when p is divided by n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13114318, -26228635, -39342952, -52457269, -65571586?\n\"Answer: -13114317*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4549996)\/14 - (400\/28 - 14). Round x to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -27292?\nAnswer: 3\/27292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 654088965 divided by -2265?\nAnswer: -288781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2377599 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*h**2 + 17*h + 116*h**2 - 229*h**2)*(-25*h**2 - 2*h**2 - 7*h**2).\nAnswer: 68*h**4 - 578*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - l + 9 = 2*l, 5*y + 4*l - 12 = 0. Let q be 10\/5 + y + 0. Solve 0 = -q*w - 2*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 - 125*a**2 - 124*a - 3. Let h(n) = 10*n**3 - 250*n**2 - 250*n - 5. Let u(m) = 3*h(m) - 5*t(m). Suppose u(k) = 0. What is k?\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -179*l. Let k(v) = 3*v**2 - v + 8617. Determine u(k(p)).\nAnswer: -537*p**2 + 179*p - 1542443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -46*s. Let a(i) = 16*i. Give a(y(j)).\nAnswer: -736*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39078963 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6569831?\nAnswer: 37, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3661534 - 2?\nAnswer: 3661532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 times 2072?\nAnswer: 1889664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/950 and -37\/576.\nAnswer: 273600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1429963*v**2 + 4197700?\nAnswer: -2859926*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -4*18\/3. Suppose j*i - 19*i - 12 = 0. Let y(p) = -p**3 + 3*p**2 + 4*p. What is the units digit of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318 and (-8)\/(-24) + 19\/(-39) + (-6894)\/(-26).\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26963848711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238529016 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 0*n + 3 - 3\/2*n**2. Let v(g) be the third derivative of -g**5\/60 + 11*g**2. Determine v(b(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11894 = -865*i - 5035 + 9081 + 3090 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27698614 divided by -9\nAnswer: 27698614\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/15 - 539\/(-105). Suppose -c*j - 4*k = -4*j - 1407, 4 = 2*k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -10812911, -4 in decreasing order.\nAnswer: 4, 1, -4, -10812911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 350545512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.69 - 14.39. What is the smallest value in -3, -3\/7, p, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 20*y = -3*y + 47680. What are the prime factors of y?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 3. Let n(x) = x**2 - 3*x + 7. Let u be n(3). Let c be 1 + (76\/(-28) - 2\/u). What is the units digit of q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2108 + -2104. Solve -s*y + i + 3*i = -4, i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.23758?\nAnswer: 0.13758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2787)\/(-42))\/((-21)\/(-182)). Let z = f + -575. Find the common denominator of (726\/24)\/(0 - 6) and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b = 63*b - 30*b + 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73 (b) 4 (c) -1\/186 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -b + 22, 745*b = 781*b + 4*t - 232 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 5. Suppose 0*w - 18 = 4*f - 2*w, 5*w - 24 = 3*f. Let c be g(f). Suppose 2*b - b + 5*j - 40 = 0, -c*j = -5*b + 92. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15. Suppose 0 = -3*r - j + 6. Suppose r*u - 5*z = 129980, 4*z + 10 - 26 = 0. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 46 = 10*p. Calculate the remainder when 91 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 166 - 61 - 51 - 1310*q to the form t + c*q and give c.\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-3*sqrt(52) + sqrt(52) + 1) + ((3*(sqrt(156) + sqrt(156)*2 - sqrt(156)) - sqrt(156))\/sqrt(12) - (0 + sqrt(832))*-2))**2.\nAnswer: -198*sqrt(13) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2 - 5*c + 2. Let h(t) = -33*t**2 - 20*t + 9. Suppose g - 2 = 2*g. Let j(b) = g*h(b) + 9*m(b). What is the second derivative of j(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 76. Which is the closest to -0.1? (a) -0.1 (b) l (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141606.\nAnswer: 2, 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 - 135*x**3 - 355*x**2 + 135*x + 360 = 0. Calculate x.\nAnswer: -24, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -536 - -525. Let l(h) = -8*h + 11. Let o(k) = -3*k + 4. Let b(m) = g*o(m) + 4*l(m). Let q(f) = -462*f. Calculate b(q(z)).\nAnswer: -462*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043005, -2086014, -3129023?\nAnswer: -4172032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 182, -5, 10, 4 in descending order.\nAnswer: 182, 10, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -153440 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 380728*c + 333873276.\nAnswer: -4*(c - 869)*(c + 96051)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 5866244.\nAnswer: 5866236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3 - sqrt(13)) + -1)**2.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4 - 0. Let w be -1*((-1)\/2)\/((-2)\/(-4)). What is the third biggest value in 0.5, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/21 (b) 3 (c) 2 (d) 0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2816)\/15488)\/((-8)\/484)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 45c?\nAnswer: 45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(228)*1 - sqrt(228) - (sqrt(228) - (2*sqrt(228) + sqrt(228) - sqrt(228))*-6))\/(sqrt(588) - (sqrt(588) - sqrt(588)*2)*-3).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = -0*m, 3*t + 2*m = -79. What is the tens digit of (130\/t)\/((-3)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/3780 and -73\/4860?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*g + 1116*g + 219*g + 162*g to q*g + s and give q.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 72. Let r be -18*((-1)\/s + (-14)\/24). Solve -r = 3*w - w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f - 6. Determine r(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:13 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-13\/5)*f*f)**(-30)\/(f**(2\/5)*f**(2\/5)) assuming f is positive.\nAnswer: f**(-214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 1389024*q**3 + 19445748*q**2 - 68059432*q.\nAnswer: 4*q*(q - 347242)*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/240 and (-27)\/(-6) + -3 + (-122)\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxnn when four letters picked without replacement from {n: 4, z: 4, x: 7}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5571, -11039, -16507, -21975, -27443, -32911?\nAnswer: -38379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5171844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -2.9, -0.34, -1.59?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111101101 (base 2) to base 13.\nAnswer: -3949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12399 times -6\nAnswer: 74394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2635, 2649, 2665, 2683, 2703, 2725?\n\"Answer: j**2 + 11*j + 2623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325\/4 + -887\/12. What is the closest to -1\/3 in g, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2730 (base 8) to base 12.\nAnswer: a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 7*o + 0*o)*(-93 + 103 - 4*o**2 + 2*o**2) in the form g*o + i + a*o**3 + v*o**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*y + y - 2, -7 = -g - 5*y. Let t(f) be the first derivative of -f**3\/3 - 3*f**2\/2 + 3*f + 1. Calculate t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 119*n - 1647135. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 926\/1409 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:51 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 24*b**2 - 93*b + 66 = 0. What is b?\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 2*x + 5. Let r be u(-5). Let w(q) = 40*q - 36. What is the units digit of w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 54 - 60 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688497 to the power of 1\/2, to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = -0*r - 5*r, -5*b - 8 = 3*r. Let q(j) be the first derivative of -2*j**3 - j**2\/2 + 6519. Calculate q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5766337 by 49.\nAnswer: -5766337\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43968, -45637, -47306, -48975, -50644?\nAnswer: -52313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a. Let u(i) = -4*i**3 - 5*i**2 + i. Let s be (-5)\/((-80)\/(-12)) + (-8)\/32*1. Calculate s*t(n) - u(n).\nAnswer: 5*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t + t. Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 1\/10*z**3 + 0 + 9\/50*z**5 - 7\/20*z**4 + z + 0*z**2. Factor q(d).\nAnswer: 3*d*(d - 1)*(6*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 453743c - -c?\nAnswer: 453744b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.909 to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snsnnnnvnnvknk. Give prob of picking 2 n, 1 v, and 1 k.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-16)\/10)*-4. What is the third derivative of -f**2 + 0*f**v + 3*f**5 - 32*f**5 wrt f?\nAnswer: -1740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s + 0*s - s**2 + s**3 - 1 - 10*s**3 - 2*s. Let r = 7 - 6. Determine i(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5185 + 9635. Suppose n = 6*n - l. What is the common denominator of -89\/2 and -3 + 0 - n\/(-140)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169172, 3, -1, -2, -37 in descending order.\nAnswer: 3, -1, -2, -37, -169172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109\/10 + -723\/70. What is the closest to 0 in -6, -5, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -40 + 16*o + 9*o**2 + 15 + 7 - o**3 + 7 - 3. What is g(10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16147626 (base 9) to base 15.\nAnswer: -a93d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3945957 milligrams in micrograms?\nAnswer: 394.5957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 504\/(-87) - (-4 - 2). Is r < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 209, 460, 739, 1046, 1381, 1744, 2135?\n\"Answer: 14*y**2 + 209*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*o**2 + 2550*o**2 - 1289*o**2.\nAnswer: -421*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58246308 divided by -6?\nAnswer: -9707718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = 0, -56*d - 76*d - 38*d - 2*i = -11*d - 475 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2552.35 and -174347686.\nAnswer: -174345133.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2664209\/55 - 48443. Which is greater: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4013*l**2*p**3*x**2 - 9*l**2*p*x**3 - l**2*p - 9526*p**3*x**3 - 6*p*x**2 wrt x?\nAnswer: -54*l**2*p - 57156*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.6 + 106.9. Let x = 68.30000763 - j. Round x to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 0.04. What is the third smallest value in 0.1, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 221952.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 - 2*l**2 + 2*l + 2. Calculate j(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*z + 5*z - 3*z)*(0 + 3 - 1) + 0*z - z + 0*z - 138*z - 142*z + 274*z)*(3*z**3 - 3*z + 3*z) as i*z + r*z**4 + s + q*z**3 + u*z**2 and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96911419 to the power of 1\/2, to the nearest integer?\nAnswer: 9844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-20)\/(-8)*16\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12.98. Let p be (3\/8)\/(6\/8). What is the nearest to b in p, 5, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104385603.\nAnswer: 3, 7, 4970743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2272, 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = -r + 11*r. Calculate the greatest common divisor of r and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 41*m - 13. Let o(g) = 21*g - 6. Let v(l) = -5*o(l) + 3*y(l). Suppose -2*j = -19 - 11. What is the remainder when v(2) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -36. Let p be 13\/(-4) + (-2)\/(-8). Put q, 5, p in decreasing order.\nAnswer: 5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 90 - 2*z - 85 - 88 + 263 + 17*z**2 + z**2.\nAnswer: 25*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.0225 (b) 4\/35 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506 - 24*q + 2507 - 5013.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 331557484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 - g**2)*(-1 + 3 + 1)*(-310*g + 159*g + 162*g).\nAnswer: -66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*a - 306 = 0, -d - 4*a - 43 = -166. Let g = -2527 + 2430. Let r = g + d. Calculate the remainder when 182 is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 + 30*r - 4. What is j(7)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(931)*-2 + sqrt(931) + sqrt(931).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*((-442)\/(-52) - 7). Solve l = i - 5, i - s*l = -4*l - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 1. Let j be l(2). Suppose 0 = -j*c + 94 + 29. Suppose -g + 1 = -7*v + 2*v, 2*v - 15 = -g. What is the remainder when c is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8929*a + 35677. What is f(4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1733477*w**5 + 10*w**4 - 195258217*w.\nAnswer: 34669540*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2712175462 to the nearest integer?\nAnswer: 52079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/30 - 73*h**4\/9 - 568*h**3\/9 - 1939*h. Factor r(n).\nAnswer: -2*n*(n + 4)*(n + 142)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-14))\/(-27)*(134 + (-72)\/(-9))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 3*q**2 + 2*q - 3. Suppose -6 = -3*x, -11*j = -9*j + x + 4. Let h(i) = -i**3 + 4*i**2 - 2*i + 4. Determine j*h(g) - 4*t(g).\nAnswer: -g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -u + 30. Let a = -574 - -452. Let l = a + u. What is the highest common divisor of l and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 11 = 3*c + 5, -4*c + 8 = x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1790 - -1790.477. Round x to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30733)\/(-803) + (-380)\/10?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 + 13*p**2 + p + 12. Let d(v) = -4*v**3 + 19*v**2 + 2*v + 18. Let f be (-7)\/(-3)*(4 + -1). Let a(n) = f*r(n) - 5*d(n). Is 3 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1\/2, 2\/23, -0.3, 5, -1199?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-5)\/c))\/(c**8*c*c*c))**(-3\/46) assuming c is positive.\nAnswer: c**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (5 - (7 - -9))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-2)\/(-2) + 128\/24)\/(72\/15336)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3405448 + -3405183.00036. Let a = -265 + p. What is a rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2162 times 4\nAnswer: 8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*a = 19, 3*a - 7*a - 15 = -s. Let g = -57\/5 - -11. What is the nearest to g in -4, s, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6.2. Let y = 0.6 + r. Let z = 17\/21 - 20\/21. What is the nearest to z in 1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -854\/31 + 12317\/527. Which is greater: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*f + 13, 5*f = 4*u - 0*u - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**2 - 4*i**2 + 3 - 149*i + 147*i - 2*i**4 as q*i**4 + o*i**3 + v*i**2 + b + f*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 2206, -2, 2, 5, -3\/2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 670.5884 decades?\nAnswer: 6705.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2945344.\nAnswer: 2, 46021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyxttytttxuytuttyxtx. Give prob of sequence xux.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.6 - -75.6. What is the fourth biggest value in 4\/19, -0.3, r, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:44 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077 = 2*f - r, -2*f + 1438 = 3*r + 373. Let n be f\/(-45) + 11 - (-4)\/(-10). Let x = -2 - 1. Which is the biggest value? (a) 19 (b) 0.2 (c) n (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 129 = -105. Which is smaller: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g - 17. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 + 4 + 4*n - 1. Let v(p) = p + 2. Let l(d) = 3*d + 4. Let k(y) = l(y) - 2*v(y). Let x be (-21)\/27 - (-4)\/(-18). Give x*j(o) + 2*k(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 27951\nAnswer: 195657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 - 1405 + 472 + 5*i**2 + 469.\nAnswer: 5*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 4*t = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 69385585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 6. Let h be s(6). Suppose -2*c - c + h = 0. Let y = -1914 + 1926. What is the highest common factor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -6, -36, -82, -144, -222?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*4\/(-132)*-11.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 - 120\/(-28). Suppose -6*c + n*c + 94 = 0. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2588277*i**4 - 3761935*i**2?\nAnswer: 62118648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -139*h**2. Let f(c) = c**2. What is f(j(o))?\nAnswer: 19321*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 27. Let j(r) = 27*r - 188. Give -3*j(l) + 22*t(l).\nAnswer: 7*l - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/4))**(-1\/3))**(-1\/8) assuming y is positive.\nAnswer: y**(5\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k + 1. Let w be v(3). Let g be w\/(-36) - 2\/8. Which is bigger: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3485373055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 8. Let u be 2\/(-4 + 45\/10). Suppose u*n - h = 503, -n - 513 = -d*n - h. Is n 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 309*a**6 - 426*a**2?\nAnswer: 37080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 9 + 31. Suppose -10*s + 24 = -p*s. Let y be (16\/s - 3) + -1. Solve y*x + 2*x - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 + 813 = 5*c. Let f = 18 + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690, 704, 714, 720, 722, 720, 714?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3447 + -3469. Let z = -213.6 - -190. Let a = n - z. What is a rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406812 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -46*i + 183. Let r be x(4). Put r, 5, 1\/13, 0.3 in increasing order.\nAnswer: r, 1\/13, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7069, -6289, -4247, -313, 6143?\nAnswer: 15751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -3 (c) -11 (d) -23.7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 + 541*k**3 - 1607*k?\nAnswer: -40*k**3 + 3246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 1. Calculate the lowest common multiple of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -6 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 - 40*b**2 - 250*b. Suppose -1280*d + 12 = -1292*d. Let o(r) = r**3 + 9 - 9 - 2*r**2 + r**2 + 2*r. Let w(j) = d*l(j) - 4*o(j). Solve w(k) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/6 + 14*o. Let w(c) be the second derivative of c**3\/3 - c. Determine r(w(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + v + 3. Let d be y(3). Suppose -901 = -25*h + 1249. Let l = h - d. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -27*z + 184 + 5*z**2 - 93 - 96. Let o be f(8). What is the greatest common divisor of o and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110278 - 110284. Let p(d) = -11*d**2 + 6*d. Let q(x) = 6*x**2. Let s(t) = -t**2 - t. Let y(c) = q(c) + 2*s(c). Calculate u*p(w) - 17*y(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1178, -1180, -1182?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*l + 1232*l - 240*l.\nAnswer: 1508*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0 + 2*k + k**2 - 1\/6*k**3. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 4*d**2 - 9*d - 16. Calculate o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((2 + (sqrt(2448) - 2*sqrt(2448)))**2 - sqrt(2448)).\nAnswer: -14714 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1476*(-33)\/33*(-3)\/(-1)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162169639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249 - -252. Which is the nearest to -2? (a) 0.4 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 13, 32, 53, 76?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/7)\/(f\/f**(2\/5)))\/(f\/f**(1\/11)*f\/((f\/(f*f\/(f\/f**(2\/7))))\/f*f)))\/((f**(-2\/5)\/f)**(33\/2)\/((f*f*(f\/f**(-1))\/f)\/f)**(-36)) assuming f is positive.\nAnswer: f**(-7983\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*v = 225*v + f - 8650, -2*f = -4*v + 34570. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39539430 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2789 (base 12) to base 10.\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.428284338 rounded to 5 decimal places?\nAnswer: 0.42828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4615 + -4615. Solve 18 = 2*z + 2*k - m, 4*z = -2*k + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/5 - 2004*f\/5 - 291668\/5 = 0.\nAnswer: -1846, -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 5. Let o(c) = -c - 2. Let z(y) be the first derivative of -y**2\/2 - 16*y + 1. Let p be z(-9). Let i(f) = p*o(f) + 3*w(f). Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7776, -13887, -19990, -26085, -32172?\n\"Answer: 4*x**2 - 6123*x - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x + 2. Suppose -154*o = -147*o - 2436. Let r = 348 - o. Give v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016178281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {m: 1, f: 3, r: 1, a: 1, w: 6, t: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-49) - ((-102)\/(-231) - 2) and -81\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*o**2 - 236*o**2 + 108*o**2.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 34. Let d = 7 - m. Let y = 7 + d. Solve y = 6*i - i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let w(i) = 2*i**2 + 18*i + 5. Let l = 15 + -23. Let d(p) = -p**2 - 6*p - 2. Let v(k) = l*d(k) - 3*w(k). Give v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = h - 85, 7*h - 2*h + 4*r = 430. Let m be 40865\/h*3 - 0. Let l = m - 1370. Find the common denominator of -59\/18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s + 115. Let b be h(15). Let z(d) be the third derivative of -2*d**3 + 0 + 0*d - 1\/24*d**4 - d**2. What is z(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2043909 divided by -63\nAnswer: -32443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 30, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 344*l - 15. What is u(-1)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2090*z - 24774. Calculate u(-12).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 14) to base 6.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 2.622007\nAnswer: -0.13110035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 1. Let u be ((-12)\/33)\/((-2)\/22). Suppose -5*y - 20 = 0, 0 = 27*i - 30*i - u*y - 13. Calculate the remainder when m(1) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1891 and 80570519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + 24)\/(20\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - 151. Let d = c + 258. Is -45 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/243 and (((-2)\/(-32))\/((-84)\/63))\/(405\/130).\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 40026 - 40026.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20673338261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00567 * -114.\nAnswer: 0.64638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 264740\/3 and 88247 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -18. Solve 8*a = 4*a + 2*o - 28, 0 = f*a + 4*o - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153272 and 20678?\nAnswer: 32340392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjbj. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2703047 to three decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 1510?\nAnswer: 14ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63730, -127469, -191208, -254947?\n\"Answer: -63739*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01655 * 0.5\nAnswer: -0.008275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 6*r - r)*(-1 - 3 - 1)*(311*r - 2104*r + 1014*r)*(-3 + 2 + 2) as a*r + c + h*r**2 and give h.\nAnswer: 3895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/12 - 65*f**3\/2 - 297*f**2\/2 + 142*f - 1. Find the first derivative of i(d) wrt d.\nAnswer: 2*d - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1542*b**2 + 1. Let d(i) = -i**2. Calculate x(d(t)).\nAnswer: -1542*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25921633 and 1358081.\nAnswer: 596197559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (4 + 1 + sqrt(2057) + sqrt(2057))*-6 + 5*(-1*sqrt(2057) + -5))**2.\nAnswer: 19448*sqrt(17) + 597177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -4117*m**7\/210 + m**4\/12 - 161*m**3\/3 + 7*m**2 - 19*m. Find the second derivative of c(n) wrt n.\nAnswer: -49404*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -463 * -4.\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/11 - 74*b**2\/11 - 412*b\/11 - 336\/11 = 0. Calculate b.\nAnswer: -4, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-40)*2)\/(68\/((-272)\/6))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 30*k**2 + 33*k + 65. Let y be g(-31). Solve 2*t - 3*f = -6, y*t - 7*t = -2*f + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:10 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 625496149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t. Suppose 3 - 11 = -4*u. Suppose -k - u = -2*k. Let s be 8\/(-8)*k\/2. What is h(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 1110012?\nAnswer: -1110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)\/b)**1 assuming b is positive.\nAnswer: sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17312, -36339, -55376, -74429, -93504?\n\"Answer: -z**3 + z**2 - 19023*z + 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342.01 - 344.01. Suppose 15 = -0*k - 2*k + 5*g, 5*k - 5*g = -45. Which is the second biggest value? (a) -0.06 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 2598104991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/5 + 208\/35. Which is the second biggest value? (a) -2\/113 (b) 0 (c) -2\/21 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 1, o: 2, p: 3}. What is prob of sequence glp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s + 41*s**2 + 4 - 38*s**2 - 35*s + 10*s + 10*s - 1. Let m(k) = -2*k**2 - 3*k - 2. Let b be (-14)\/(-4) - (-1)\/(-2). Calculate b*f(w) + 4*m(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.079 in -0.1, 1\/8, 31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 + 13. Suppose 3*o + 2*z - 1 = 0, 5*o + 2*z = 3 + m. What is the first derivative of 3 + g - o*g**4 - g + g**4 wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*1)**2 + 0)*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.466 - -0.124. Let k = 0.59118 - x. What is k rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 6*h - 2318. What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:03 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 222*u**2 - 1632*u + 3168.\nAnswer: -3*(u - 66)*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:53 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 1 = 16 + 89 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(200))\/(sqrt(70)\/sqrt(28)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqz when three letters picked without replacement from {b: 1, z: 1, p: 1, f: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/10)\/d*d\/((d*d\/d**10)\/d*d) assuming d is positive.\nAnswer: d**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, -531, -512, -485, -450?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 - (1 - 16 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(175) + sqrt(175) - sqrt(175))**2 + 1 + sqrt(175) + (sqrt(175)*-1)**2 - (1 + (2*sqrt(175))**2*-6 + -3).\nAnswer: -5*sqrt(7) + 4554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p\/p**2*p*p)))**(6\/13)\/(p**(-1\/4))**(-3\/13)*(p\/p**6*p*p**(-3))\/(p**2)**(-14) assuming p is positive.\nAnswer: p**(1137\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 732*t**3 - 12814*t**2 - 6518*t + 36 = 0.\nAnswer: -1\/2, 1\/183, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -204*z - 80. Let g be i(-1). What is the greatest common divisor of 4588 and g?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 339790201 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316572 is divided by 125?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9.05. Let f = 8.56 + -8.5. What is the third biggest value in k, 0, 1, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/120 + t**5\/30 + t**4\/8 + t**3\/6 - t**2. Suppose 0 = -5*a + 4*a + 3. Calculate the least common multiple of i(a) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212001222 (base 3) in base 12?\nAnswer: 1915b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 8. Let a be f(-14). Suppose 0 = 3*z + 2*n + 26, a*z = z + n - 39. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79535770?\nAnswer: 2, 5, 31, 256567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*d - 25863, 4*o + d = 7677 + 13019. What are the prime factors of o?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/315 and 92\/17955.\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*t - 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*s = -194*s + 721952. Which is smaller: s or -4686?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 3*w**3 + 0*w**2 + (-4*w - 2*w**3 + 4*w)*(-2 + 4 - 4) - 5*w**3 + 8*w**3 + 13*w**3 to the form z + c*w + o*w**3 + y*w**2 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - n + 3*n + (-3 - 1 + 2)*(n - 3*n + 0*n) - 756*n - 91 + 1521*n - 761*n as m*n + g and give g.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 36*x + 69 = -2*x. Sort 3, x, 2634 in descending order.\nAnswer: 2634, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1433332*o - 12. Let d be m(9). Round d to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = c + 23, -3*n - n - 32 = 2*c. Let m be (-616)\/(-12) + 6\/c. Factor -41*y**2 + m*y**2 - 7*y**3 + 2*y**3.\nAnswer: -5*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230592 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15399 and 76473?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740 divided by 4?\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let f = 460 + -461. Let b(x) = 7*x. Suppose p = -5*s - 35, 37 = -2*s - 2*p - 3*p. Determine f*b(n) + s*j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 6*-2*sqrt(114)) + sqrt(114) + sqrt(114)*2*-6)\/(sqrt(864)*4*-1).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.70378um to kilometers.\nAnswer: 0.00000006470378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/(-18))\/(395\/(-1975)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44993363*b*w**2 - b - 137447196*w**2 with respect to b.\nAnswer: 44993363*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by 3?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from {x: 15, f: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/16*4\/(-12). Let i = -4.89062 - 0.10938. Which is the closest to 0.1? (a) x (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5409*j + 5410*j - 10801*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 219657.3\nAnswer: -4393.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 + 3*p - 2. Let o be u(-3). Let f = o + -40. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-45) + 6916\/9555?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 1. Calculate the remainder when (-28)\/(-4)*2 + -7 + 4 is divided by (s\/(-2) - 1)*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.327 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3433659 and 48603?\nAnswer: 2859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -0*d - 2*u, 2*d + 2*u = -6. Suppose -2*q = d*q + 76. Sort -0.4, q, -4 in decreasing order.\nAnswer: -0.4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57736*o**3*u*v + 2851*o**3*v + 5*o**2*v + 2*o*u*v with respect to u.\nAnswer: 57736*o**3*v + 2*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {d: 2, o: 2, q: 2, h: 3, w: 1, z: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i = 180, 835*i - 24 = -y + 832*i. Solve 21*o - y*o - 72 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbtb when four letters picked without replacement from {b: 7, t: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34522 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -47. Suppose 5*f + y - 343 = -68, 4*y = m. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 31*p - 192. Give n(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 24 = 5*u - 31. Let p be (-14)\/(-4) - (-1)\/2. Put p, u, -3, -2 in descending order.\nAnswer: u, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -431 - -959. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13533226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 353 - -236?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 174721725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185184 divided by 5787.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 180, 284, 388?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 14118.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + 5*x**2 - x + 0*x + 6. Let v(i) be the first derivative of -i + 97. Give b(y) + 4*v(y).\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*a - 281. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n - 1. Let x(q) = -12*q - 5. Suppose l + 1 = 2. Let w(r) = l*x(r) - 5*p(r). Let a(c) = 3*c**2 + 4*c. Determine -7*a(t) - 4*w(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -0.07 (b) 589 (c) -0.3 (d) -2\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1254345712053 + -1254334881682.000034. Let o = y - 10830345. Let w = -26 + o. Round w to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3*19)\/((-348)\/(-348)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 203751299 and -3091.\nAnswer: 203748208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2276 + 0.0066. Let o = -0.004 + g. Let n = -0.949 - o. Round n to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**3 - 15*f**3 - 7*f**3)*(161*f + 17 - 4 - 15).\nAnswer: -1610*f**4 + 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.32, 1\/43, 0.1, 0.4, 1?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110001011000011010011100000?\nAnswer: -110001011000011010011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*j = 60, -s - j = -29 - 23. What is the highest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 680.3077 micrometers?\nAnswer: 0.0000006803077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/120 + 2*j**5\/15 - 11*j**4\/24 + 5*j**3\/6 + j**2. Suppose -n + 0*f = -4*f + 25, 65 = -5*n + 5*f. Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32324197 and -32324196 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/5, 1\/4, 3, -5\/47?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 223\/3, 4 in ascending order.\nAnswer: -5, -0.4, 4, 223\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/5562 and -7\/198.\nAnswer: 61182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8205 divide 3725929543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2446 - 27?\nAnswer: -2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4 - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*t = t - 6, -2*s = 3*t - 15. Suppose 4*o + 3*x = 57, o = -s*x + x + 8. Is 3\/(o\/8)*6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, -1160, -36 in descending order.\nAnswer: 4, 2, -4, -36, -1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 10. Let j be d(-7). Let x(u) = 2*u + 8. Let a be x(-6). Is j greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 263801.12\nAnswer: 131900.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-450)\/72 - 22?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51467728391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -70, -149, -300, -547, -914?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w + 5. Suppose 3*m - 25 = -4. Let l be s(m). Solve -l*r + 5 = 5*a, -2*a - 4*r = -6*r + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 41\/11101?\nAnswer: 41\/11101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 v when three letters picked without replacement from vkellbkggkbk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 506733?\nAnswer: 4\/506733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2381, -1945, -1509, -1073, -637, -201?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 12*y**2 - 361*y - 1810. Determine l(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 124, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 - 855141*d**2\/5 + 60938416584*d\/5 + 60939271728\/5.\nAnswer: 3*(d - 142524)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 4547991.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 792241.13 to the nearest one hundred.\nAnswer: 792200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 11*a + 7. Let n be c(-9). Suppose -3*b - 11 = 10. Let q = n - b. Let w(t) = -2*t + 5. Determine w(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1)*(14 + 4). Let v be (-32)\/(-18) - 4\/o. Suppose 4*b - 3*z = 3*b + 88, v*b - 4*z = 170. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 766 - 762. Sort m, -27, -5, 2 in descending order.\nAnswer: m, 2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-21)*-4*(-534)\/4 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 62 + 62. Let p = w - -258. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 8*y + 13. Let l(q) = q**2 - q - 1. Let i(a) = 4*l(a) - w(a). Calculate the remainder when i(-10) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**2 + 0*g**2 + (-4*g + 4*g + g)*(1 - 1 + 1)*(-g - 4*g + 4*g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -7) + 0 - -21. Let v(h) = 4*h**2 - 92*h + 92. What is the tens digit of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**2. Let s(b) be the second derivative of -b**6\/180 - 5*b**3\/3 - 11*b. Let p(q) be the second derivative of s(q). What is p(f(v))?\nAnswer: -200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(256)\/sqrt(8)))**2*-1 - ((sqrt(200) + sqrt(200)*2*-6)**2 - ((-1 + sqrt(200))*-2)**2).\nAnswer: -187169\/8 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 410*z**3 + 2*z**2 - 7*z**2 - 402*z**3.\nAnswer: 8*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - x)*(-8968*x**2 - 5698*x**2 - 17965*x**2).\nAnswer: 32631*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1893\/11 - -66149\/297. Let h = -394 + f. Find the common denominator of h and 70\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 3. Give k(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {u: 7, l: 5}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32291315*o**3 - 18659248*o wrt o.\nAnswer: 193747890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 143\/(-990) + 3\/(-10). Let z = 286.3 - 286. Which is the closest to z? (a) 1\/4 (b) 1 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*l - 17, -3*p - 33 = -l - 7*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3\/2 (b) 1281926 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 9. Let l = a + 16. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 + 3*v + 4. Give m(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7310000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-11) + 45\/(-55) + -2 + 10. Solve 0 = -2*u + 10, -4*u = 3*v + 2 - n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.213 + -70.163. Let b = 68 + d. What is b rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)*c*c*c*c\/(((c*c**7)\/c)\/c)*c)\/(c**0\/c**8))**(-2\/7))**(2\/79) assuming c is positive.\nAnswer: c**(-16\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -11. Let d = 7 + h. Solve -25 = -d*p - 5*q + q, 5*p = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -8. Let t = 22.4 + r. Let x be (2\/4)\/(1\/(-3)). What is the smallest value in -1\/5, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23040121 + 0?\nAnswer: 23040121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9769271 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 388.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) 0.4 (c) -3\/20 (d) -0.146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, n: 3, h: 1, s: 1, j: 4}. What is prob of picking 2 n and 2 e?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1848 and -23\/57036.\nAnswer: 1254792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/14)\/(15609\/602 - 26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316.51209 rounded to the nearest ten?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 1 + 91. Let g(f) = -f - 1. Let z be g(-10). What is the greatest common factor of z and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65, -103, -159, -227, -301, -375?\n\"Answer: q**3 - 15*q**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*s - 13 = -304*s + b, -7*s + 5*b - 143 = 9*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 106165237103806\nAnswer: 106165237103805.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**16))**12\/(g**10)**(-8) assuming g is positive.\nAnswer: g**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2132054?\nAnswer: -2132055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7705587 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-52) - (-10)\/(-65). Let s(p) = z - 1 - 3 - 2 - p. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -q - 65. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*i + 46, 4*i = -2*m + 5*m + 23. Solve -12*b = i*b + 120 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -16998*r - 6. Let k be l(3). What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 8*d + 12. Let n be k(6). Suppose 7*o + 12 = -2*v + 2*o, n = 4*v + 2*o - 8. Solve -2*l - 3*y - 10 = 2*y, v*l - 40 = 5*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:35 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022202112121 + -10?\nAnswer: -2022202112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, 4, 40, 110, 226, 400, 644, 970?\n\"Answer: 2*k**3 - k**2 + 3*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 3*w**3 + 0*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13837719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 3 (c) 7 (d) -19 (e) 0.53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 48*y**4 + 166*y**3 - 120*y**2 = 0. Calculate y.\nAnswer: 0, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 296*r**2 + 272*r**2 - 140*r**2. Let l(t) = -4*t. Determine x(l(g)).\nAnswer: 6848*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 66.721kg to milligrams.\nAnswer: 66721000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104397 and 25024?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eoe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -4, 8241284, -3 in increasing order.\nAnswer: -4, -3, 2, 4, 5, 8241284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510200 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -38, 21, 132, 295?\n\"Answer: 26*c**2 - 71*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - (sqrt(243) + -2)*-1.\nAnswer: -2 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let p be o(6). Let c = 8 - p. Suppose t - 5*b - 32 = 0, 3*b = -2*t + c*b + 9. What is the greatest common factor of 56 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - (-77)\/(-14))\/(3\/30). Suppose -2*m + 7 = 2*b - m, f*b - 7 = m. Solve -b*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*p - 542*p + 38 = -1086*p - 2*s, 25 = 5*s for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/14 and 1\/(-15)*2133\/36 - -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11201 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20169 divided by -3?\nAnswer: -6723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -5, 31, 105, 229, 415, 675?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {a: 2, h: 4, p: 3, l: 2, f: 2, w: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 2*d**4 - 2*d**4 + 6*d**4 + 9*d**4 - 5*d**4 - d**4 + 14*d**2 - 14*d**2 + (0 + 0 + 1)*(14*d**4 + 4*d**4 - 4*d**4) - 2*d**4 + 3*d**4 + 0*d**4.\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2601, -20886, -70551, -167286, -326781?\nAnswer: -564726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -8*a**4 + 188*a**3 - 1172*a**2 + 2340*a - 900 = 0.\nAnswer: 1\/2, 3, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**4 - 24*w**2 + 17*w**2 - 2 + 7*w**2 - w as k*w**4 + i + o*w**3 + r*w + f*w**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:31 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 125 = -15*z. Let n = -2 + 0. Put z, n, -3 in ascending order.\nAnswer: -3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiriiiriiiiirri.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/40)\/(((-252)\/120)\/3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 80*a - 821. Determine w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 5. Let f(z) = 6*z + 11. Suppose q + 2 = u + 1, 0 = -2*u - q + 11. Suppose -4*m + 32 = -u. Calculate m*p(n) - 4*f(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161919, -1295259, -4371469, -10361985, -20238243, -34971679, -55533729, -82895829?\nAnswer: -118029415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331, -477, -625, -775?\n\"Answer: -j**2 - 143*j - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -38*s - 3. Let k be q(-2). Let o = k + -33. Let n be (5\/1 - 1) + 1. What is the greatest common factor of o and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11010 - -132132?\nAnswer: 121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -18. Suppose 2*p + 1 = f. List the prime factors of 52\/16 - p\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 71370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 9*j**2 - 5*j - 2. Let t be 10\/3*(-54)\/36. Let b be q(t). What is the greatest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 368361836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266386518 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285)\/(-152)*(-4)\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3015)\/270 - ((-2)\/12 - 0). Let h(t) = -105*t + 160. Is h(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -355, -1041, -2337, -4447, -7575, -11925, -17701?\n\"Answer: -34*u**3 + u**2 - 45*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2866\/3 + -940. Suppose -o = 6*k - 2*k + 44, -3*k - 44 = -2*o. Calculate the common denominator of 5\/(45\/24)*k\/28 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 3*-3*sqrt(130) + sqrt(130) + sqrt(130) + -2*-3*sqrt(130))\/(5*((1*sqrt(70))\/sqrt(7) + sqrt(80)\/sqrt(2) + sqrt(10)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.73 - -3.7. Put 3\/7, r, -0.5 in increasing order.\nAnswer: -0.5, r, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 10566*m**2 - 893736*m + 9201600 = 0 for m.\nAnswer: -10650, 12, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -44.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/312 and -89\/10608.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 368752?\nAnswer: 1843760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*b*k**3 + a*b*k**2 - 2*a*b*k*y - 9*a*k*y**2 - 6*a*k*y + 234*b*k**3*y**2 + k wrt k?\nAnswer: 12*a*b + 1404*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(2448) + 2 + 1)*1.\nAnswer: 7 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*125\/(165625\/24645)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 26 + 10 = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -33, -38, -39?\n\"Answer: 2*b**2 - 15*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -28309887.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387983589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 53, 60, 67?\n\"Answer: 7*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from helheuuehhhihhhq. Give prob of picking 3 e and 1 l.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 13. Let q = 4 + h. Let t be (-78)\/(-16) - q\/(-16). Solve n - 2*u = -3*n - 2, -2*n + 3 = -t*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 456978092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.3. Let q = 149105\/4 - 37276. Let h = -7 - -5. What is the nearest to h in -5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/5 - 13962*t**3\/5 + 6409044*t**2 - 23119161912*t\/5 - 2438621208432\/5 = 0. Calculate t.\nAnswer: -93, 2358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1771968 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*i - i + 5*b, i - 19 = -2*b. Suppose j - 2 = 2. Suppose f - 5*n = -0*n - 10, 3*f + j*n = 65. What is the remainder when i is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1995321, -1995347, -1995371, -1995393, -1995413?\n\"Answer: r**2 - 29*r - 1995293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from xxpvvve?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 302210 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (sqrt(432) + (0 + sqrt(432))*6)**2.\nAnswer: 12*sqrt(3) + 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((1\/(-2))\/(14\/(-12))). Let c(w) = -w**2 + 6*w + 2. What is c(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, 8*o - 5*f + 4 = 10*o. Which is the nearest to o? (a) -6 (b) -3\/2 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3, 171, -2\/5, 0.1, 3\/22, -5?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-105)\/(-140)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079894139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5*l*v + a**5 + 20*a**3*v + 2*a**2*l - 2*a**2*v - 6*a**2 wrt a?\nAnswer: -60*a**2*l*v + 60*a**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*h**3 - 3*h - 131*h**3 + 74*h**3 + 3*h**2 + 75*h**3 - h.\nAnswer: 128*h**3 + 3*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/3 + 41*i**2\/3 + 38*i\/3 - 80\/3 = 0. What is i?\nAnswer: -40, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4425 by -3.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -232 (b) 73 (c) 0.09 (d) 138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from donddnoonuono. What is prob of picking 2 d and 1 o?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 21, 26, 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 167*f**4 - f**3 - 682. Let n(l) = 2*l**4 + l**3. Let u(r) = j(r) + n(r). What is the derivative of u(o) wrt o?\nAnswer: 676*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -3*d, -25*d + 4*k = -23*d - 40. What is the greatest common factor of d and 1280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9*d = 0. Suppose -73*c + 74*c - 838 = d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 21*m - 17*m - 5*h, 0*m - 4*m + 11*m - m - 2*h - 22 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 8. Let c be (o - -1) + -2 + -581. Is -3 - (2 + 0 + c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9 - 9. Suppose m + s = 8. Solve 0 = -m*d - 2*b, 3*b + 8 = -3*d + 4*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106 + 20d49?\nAnswer: 20e4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + 5 + 5 + sqrt(363)*-2 + -3)**2.\nAnswer: -264*sqrt(3) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, -4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160670247 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002586844324 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -a2b3b?\nAnswer: -a2b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 11. Let o be t(6). Factor -4*x**2 - 6*x - 6*x**3 + o*x - x**5 + 2*x**5 - 2*x**5 - 4*x**4.\nAnswer: -x*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s - 1. Let m(b) = 3*b + 7. Suppose 0 = -0*o - o. Suppose -p - 3*p - 4 = o. Let q(r) = p*m(r) - 3*v(r). What is the derivative of q(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -518 (base 12) to base 11\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 87, 103, 135, 189, 271, 387, 543?\n\"Answer: w**3 - w**2 + 2*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0)\/((-38)\/3458). Solve d = -2*z - 24*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 27*s**2 + 74*s + 54. What is the tens digit of f(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 14 + 2*n**2 - 12 in the form a*n**2 + d + w*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 63*r**2 + 6809*r + 407. What is j(-108)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 237 + 186 - 475 + 68*w. Let m(t) be the third derivative of -t**4\/6 + t**3\/2 + 67*t**2. What is -104*m(z) - 6*p(z)?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:25 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 4 = -r + m, 0 = 5*r + 4*m + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + 7*k + 4. Suppose y - 4*d = -11, 9 = -4*y + 2*d - 21. Let v be i(y). Suppose -4*x + 140 = -v. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + f - 8. Let w be 80\/(-8)*(8 + 3\/(-3)). Let x be w\/(-8) + 2\/8. Determine a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jugkukkckccckkujjc. Give prob of sequence jc.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*o = -366, -4*x + 5*o + 268 = -113. Solve x = 24*t - 55 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q. Let i(g) = -38*g + 755. Give i(m(l)).\nAnswer: 798*l + 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1118664109 and 106.\nAnswer: -1118664003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-150)\/(-135))*14*35\/(-21).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10145, 10142, 10139?\n\"Answer: -3*i + 10148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = -15. Suppose -2*n = -n + 2. Let o be (3\/(-4))\/((-1)\/n). What is the third smallest value in b, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*l + 86*l + 1947 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 26*a**3 + 17 - 13*a**3.\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 6\/13 (c) 1 (d) 2\/7 (e) 4\/9 (f) -3 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 6. Let t be (-2)\/8 - (-26)\/8. Let i(p) = -2*p - 2. Determine t*m(w) - 8*i(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -202*h - 198. Let d be c(-1). Let x(p) = -5*p**3 + 4*p**3 - 1 + 13*p**2 - 9*p**2 + 0*p - 2*p. Let k(q) = q**2 - q. Give d*k(g) - x(g).\nAnswer: g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25547 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 = 1. Suppose -h - y = 5*k, -2*h + 2*k + 74 = -7*h. Let c = -11 - h. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275756047 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i + 90. Let f be c(-13). What is the common denominator of -7\/8 and (-3)\/2 - f\/1008?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121669539 is divided by 333.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -1.2. Let p = 131\/4 + -33. Let t be (16\/(-60))\/((-1)\/5). Which is the closest to p? (a) t (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/5 - 349567*r**3\/5 + 30549097086*r**2\/5 + 30550145792*r\/5 - 61098893312\/5 = 0.\nAnswer: -2, 1, 174784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -983303*p + 11799636. Determine y(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-80)\/14)\/4*(-161)\/1 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 143*t**2 - 7*t + 5. Calculate the remainder when s(1) is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2\/(-10) - 342\/190).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*k = -642*k + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**4 + m**3 + 265.\nAnswer: -32*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1058855607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545.456ms in seconds?\nAnswer: 4.545456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 15*x - 2. Let b = 3 - -7. Let u = b - 3. What is the remainder when k(14) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1586970, 3174032, 4761084, 6348120, 7935134?\nAnswer: 9522120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -14. Which is smaller: w or 14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 5*h**4\/6 + 5*h**3\/3 - 5*h**2 + 24*h. Let u be l(9). Is 2\/25 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let c(p) = 10*p**2 - 2. Calculate -c(j) + 5*m(j).\nAnswer: -15*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546 and 15414?\nAnswer: 200382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443 - -1022?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 74\/19, 2, 0.028 in descending order.\nAnswer: 74\/19, 2, 3\/2, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 4*g**3 - g**3)*(10*g**2 - 10*g + 10*g).\nAnswer: -20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -822514.5289 take away 175?\nAnswer: -822689.5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 14 - 25 = 0. Let a be (i\/(-3))\/(21\/252). Solve 0*z - a = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-16)\/(-3) + -6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*o = -18, -3 = -5*u + 2*o + 42. Differentiate -6*g**2 - 5*g**2 - u + 6*g**2 - 5*g**2 wrt g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188.9 + 184.9. Which is the second biggest value? (a) 4\/49 (b) x (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26490 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73341, 73988, 74637, 75288, 75941?\n\"Answer: o**2 + 644*o + 72696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Suppose 2*u = -o*u. Solve u = 6*x - x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80795490 and 270.\nAnswer: 727159410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 11 + 3. Find the first derivative of 2*r + m - 1 - 1 wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + (-195 - (-12 + -73))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.038 (c) -0.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10685.82 milligrams to nanograms.\nAnswer: 10685820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 224. Suppose 5*v = -0*c + 4*c - s, c - 51 = 5*v. Let h = 77 - c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1465*t + 12663 = -3274*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 14*f**2 - 2*f - 24. Calculate s(14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 40. Let s(i) be the second derivative of i**3\/6 - 9*i**2\/2 - 3*i. Give s(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200 (base 13) in base 12?\nAnswer: -1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 1. Let m(z) = -2*z + 6. Calculate 6*i(x) - m(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**3\/6 - j**2 - 5*j. Suppose 0 = f + 7*f - 16. Calculate b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 2088 = -41*s. Calculate the smallest common multiple of s and 3.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138424 a multiple of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/2518 in -1\/3, 0, 3\/11, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 28 = -5*x, -2*x - x = -4*o + 30. Suppose y = o*y - 25. Suppose 4*p - 13 = -i, -3*i - i + 19 = y*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)\/x)\/(x**(-11)*x)*(x**2)**(-13\/6))**(-17) assuming x is positive.\nAnswer: x**(-1462\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 3*z**2 - 4*z + 2. Let v be n(3). Suppose -5*c + 5 = -f, 19 = -f - c + v. What is the remainder when 37 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -26. Let f be i + 3\/3 + 4. Suppose -f*c + 7 = 3. Solve -5*k = c + 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1001000111?\nAnswer: -1001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (5 - 1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(sqrt(5) - (sqrt(20) + -1 + sqrt(20))) + 4))**2 - (-2*sqrt(20) + 4 + -2 + sqrt(5) + (-1*sqrt(500))**2).\nAnswer: 3*sqrt(5) + 11018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1850, -5044, -13712, -30590, -58414, -99920?\n\"Answer: -456*u**3 - u**2 + u - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 114459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.7 - 340.7. Let p = -308 - v. What is the nearest to p in 1\/5, -3\/2, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*b + 2, -b - 46 = 5*u + 3*b. What is the tens digit of ((-2)\/u)\/(11\/1452)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33601, 5, -43 in descending order.\nAnswer: 33601, 5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1328155.\nAnswer: 9\/1328155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(170) - sqrt(170)*-2) + sqrt(170) + (sqrt(170)*-1 - sqrt(170))*4)*4)\/((sqrt(40) - sqrt(1440))\/sqrt(4) - (sqrt(100)*-2)\/sqrt(10)))**2.\nAnswer: 131648\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261680497 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2081 + 2081 - 250*z**2 - 385*z**2 + (2*z - 5*z + 4*z)*(-37*z - 32*z + 25*z).\nAnswer: -679*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 25, -4*d - 4 = -2*a + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -28. What is the second derivative of 12*r - 27*r**4 + c*r**4 - 5 + 5 wrt r?\nAnswer: -264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 32877690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -172. Let b = 69 + c. Is 1\/184 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.011, 3, 0.201 in increasing order.\nAnswer: -5, 0.011, 0.201, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h - 9\/8*h**4 + 0*h**3 - 31\/60*h**5 + 0 - 36*h**2. Find the second derivative of n(f) wrt f.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let t = -1942 + 1942. What is the nearest to t in 0.2, 0.7, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1109666358 and 18?\nAnswer: 1109666358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3 = n - 6*n, -2*k + 4*n - 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -5*p**7\/42 - 3*p**4\/8 - 1087*p**3\/6 - 963*p**2. Differentiate s(d) with respect to d.\nAnswer: -100*d**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 take away 361509489?\nAnswer: -361509901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 377.486218 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/20 + 7*s**4\/6 - 5*s**3\/3 - 21*s**2 + 2*s - 720. Determine h(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j + 15. Let t = 1.85274 - 1.85274. Which is the closest to t? (a) -1\/4 (b) j (c) -0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*1)\/(852\/(-852)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 - i - 70. Let f(z) = 2*z**2 - z + 34. Determine 7*f(v) + 4*h(v).\nAnswer: -2*v**2 - 11*v - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 7385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(2*sqrt(52)*-5 + sqrt(156)\/sqrt(12))\/(3*(sqrt(4) + (sqrt(196)*1 - sqrt(196))))*1.\nAnswer: -152*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 469. Calculate the greatest common divisor of z and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 + 12*c**3 - 4*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/5 + 268*z**4 + 853*z**3\/3 + z**2\/2 + 2376. What is the third derivative of p(w) wrt w?\nAnswer: -24*w + 6432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/6 - 17*b. Let a(t) = -t**2 + 2. Let z(o) = 1. Let p(x) = a(x) - 2*z(x). Calculate s(p(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**0*c*c*c)**8)**(-2\/15))**(1\/87) assuming c is positive.\nAnswer: c**(-16\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*n**3*z - 16*b*n**2*z**3 - n**3*z + 2*n**3 + 73*n**2*z**3 wrt b.\nAnswer: -4*b*n**3*z - 16*n**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, v: 2, r: 5}. Give prob of sequence svvr.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 965580 and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 20, 34, 50?\n\"Answer: u**2 + 9*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 20*c + 14. Let h be g(20). Let t(p) = h*p**2 - 521 - 6*p + 521 + 3*p. Let o(s) = -s**2. Give o(t(b)).\nAnswer: -196*b**4 + 84*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/63? (a) 59 (b) 1 (c) 0 (d) 16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.112 + 0.112. Let p = 27 - 18. Let k = 9 - p. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.128\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0664295 to 4 decimal places.\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 - 3*o**2 - 90*o + 378. What is r(7)?\nAnswer: -2114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d. Let p be (4 - 0)*(7\/2)\/7. Let j(v) = 105 - 105 + 0*v**2 - 2*v**p. Give i(j(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 64 (b) 2\/3 (c) 5\/4 (d) 7\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -547530, 8, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 20 = -6*s. Calculate the highest common factor of 40 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04228227 rounded to 5 dps?\nAnswer: -0.04228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 184045271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 406 = 2*x, 3*s - x - 3*x - 398 = 0. Does 46 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3177 - 6357 - 50*y + 3234. Let n(x) = -3*x**2. Give n(o(r)).\nAnswer: -7500*r**2 + 16200*r - 8748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b + 3. Let d be p(-3). Suppose 3*c - d = o - 3*o, o = 5*c + 16. Suppose o*q - 1285 = -19. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 241 - 1589. Calculate the remainder when n is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5844.255 centuries?\nAnswer: 584425.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 133. Let t(q) = -q - 2. Let j(o) = -2*k(o) - 14*t(o). Calculate j(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let d be n(0). Find the common denominator of (-321)\/9*(-3)\/10 and (-1 - d) + 356\/(-64).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 + 9381 + 53*w + 307*w + 7683 - 72*w + 3672 = 0. What is w?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1338866 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -100. Suppose 0 = 4*f + 5*n - 4, 2*n + 2*n = 3*f - w. What are the prime factors of (5145\/(-6))\/7*f\/(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741178.3 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*h**3 - 338*h**3 - 467*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, 86, 435, 926, 1559, 2334?\nAnswer: 3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(156) + sqrt(156) - sqrt(156)))\/(sqrt(192)*2).\nAnswer: 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (108 - 0)\/9. Solve x - g = -17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*m + 71 = 55, 5*j + 3*m = 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 95, 164, 247, 344, 455?\n\"Answer: 7*k**2 + 34*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22530214?\nAnswer: 2, 7, 1609301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 10 + 2 - t - 5*t**2 + 6*t**2. Is p(7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 16. Let h(p) = -79 - 75 + 238 - 85. Calculate c(b) + 5*h(b).\nAnswer: -3*b - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8769 rounded to 2 decimal places?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2236 - -3?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-566)\/4 + 3). Let o = 305 - u. Calculate the smallest common multiple of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.867 - 10.86699407. What is a rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 517*k - 239 + 119.\nAnswer: -517*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1433*m**2 - 13*m - 36. Let n(f) = -1435*f**2 + 11*f + 29. Let o(s) = 4*n(s) + 3*q(s). Find the second derivative of o(u) wrt u.\nAnswer: -2882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 16*s + 7*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32010224 (base 5) to base 8.\nAnswer: -1010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 5. Let k(b) = 4*b - 6. Let i(t) = -5*k(t) + 6*y(t). Let u(f) = 3*f**2 + f**2 + 13*f**2. What is u(i(a))?\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + -3)*5.\nAnswer: -10 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.18764016 rounded to two dps?\nAnswer: 66.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*u**3 - 28 - 12 + 40.\nAnswer: -406*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.0636, 5, 234 in descending order.\nAnswer: 234, 5, -0.0636, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10064, 9974, 9896, 9836, 9800?\n\"Answer: u**3 - 97*u + 10160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27210 divided by -907\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 + 1009\/5. Let x = 0.5 - -0.5. Let f = x - 1. Which is the third smallest value? (a) f (b) m (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-28)\/(-296)) - 3. Suppose -x - 70 = -r. Let s be (-2)\/4 + 14\/36. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 13*h. Let d = 0 + 0. Find the second derivative of d*y**3 + 4*y**3 + 3*y - 3*y**3 + h*y wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:12 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575, 11736, 32259, 60994, 97941?\nAnswer: 143100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 9*n - 1. Let x = 277 + -258. Suppose -2*d = -v - 4, 15*v - x*v - 4*d = -44. Calculate m(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189.1247 or -206?\nAnswer: -189.1247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 181*v = -319*v + 2538 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*o - 151, -2*w + o = w + 243. Let n be w\/32*1\/(-25). Which is the second biggest value? (a) n (b) 5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 13*b**4\/24 + b**3\/6 + 12*b**2. Determine v(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b**2 + 3*b. Let d(a) = -19*a**2 - 5*a. Let i(t) = -3*d(t) - 5*w(t). Let f(o) = 2*o. Determine i(f(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 13*s + 5. Give l(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.993423 millilitres?\nAnswer: 0.007993423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + r + 4)*(-4 + 3 - r + 0*r)*(3*r - 6 + 6).\nAnswer: -3*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/20013 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 3\/6)*-2. Let r = 8 - 7. Let v(i) = -2*i**2 + 7*i - 1. Let o(z) = -z**2 + z. Let n(j) = r*v(j) - 3*o(j). Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 3)*(17*j - 2*j + 47*j) to the form p + n*j and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 611805.\nAnswer: 4282635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1838 - -1834) + (-1 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffgfffff. Give prob of picking 2 f and 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/2)\/(t\/(((t*t**9)\/t*t)\/t))*t**4*t**(2\/13) assuming t is positive.\nAnswer: t**(381\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40210\/16084)\/((-2)\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*k - 57*k + 252. What is the least common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 71*t**3 - 5*t**2 - 5*t + 3. Let d(r) = -214*r**3 + 16*r**2 + 14*r - 10. Determine -3*d(g) - 10*u(g).\nAnswer: -68*g**3 + 2*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 6*a + 6. Suppose 3 = -94*z + 95*z. Suppose 5*c - 35 = -2*m, c - 11 = z*m - 21. Calculate the smallest common multiple of m and o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181.5 + 182.5. What is the closest to -2\/5 in 1\/3, 3, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 2*t**2 + 5225*t**3 - 5227*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + -1 + 1. Suppose -4*m + 5*m + 1454 = g. Let t be m\/(-10) + (-6)\/15. Round t to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354365 is divided by 35350?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295*j**4 - 4*j**3 - 1475*j**2 - 340677806*j wrt j?\nAnswer: 3540*j**2 - 24*j - 2950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*x - 58. Let c = 50 + x. Solve 8*p - 3*p = c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 9*u + 3. Determine n(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d. Let x(q) be the second derivative of 47*q**4\/12 + 359*q. Determine x(m(g)).\nAnswer: 36848*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001001 + -1?\nAnswer: -12001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/25 + (-56736)\/(-800) + 13.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555254109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -6. Suppose 0 = 4*l - 9 + 1. Suppose 0 = l*d - j - 0*j + 3, 4*d = 3*j - 5. Is d > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.027 (b) 0 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5509)\/(-10) - 10\/(-100) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 11*l**5\/12 - 27*l**2. Let r(v) = -v**2. Give n(r(b)).\nAnswer: 55*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4038 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 2. Let w be y(-2). Suppose 2*j = -o - 14 + 40, 5*j = -5*o + 75. Solve -1 = -5*i + w, j = -5*a + 2*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (200\/125)\/((-6)\/(-15)). Suppose 0 = 5*s + 4*j - 1, 6*j = 3*s + 5*j - k. What is the highest common factor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28124\/(-948) - ((-616)\/132 + 12\/2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 3*l**2 + 2*l - 1. Suppose -m + 2*z + 2 = -5*m, -10 = -2*z. Give s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.02 and 1.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1543, -14, -0.14 in ascending order.\nAnswer: -14, -0.14, 2\/1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/6 + p**3\/3 + p. Let a be (-3)\/3 + 3 - (-63 - -101). Let w be (-18)\/a - (-1 - 7\/(-2)). Give c(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 - 9*c - 14 = 0. What is c?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16679586 divided by 2?\nAnswer: 8339793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 + 10440?\nAnswer: 10540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2239 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 26 = 3*n + 2*n, -3*n - 10 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 19*l = -42. Let a be ((-18)\/(-8) + -2)*8. Solve 0 = t - l - a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161 * -1.42.\nAnswer: -228.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-89)\/18)\/(1\/3) and 14\/(-21) - 370\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 11*z**3 - 39*z**2 + 41*z - 14.\nAnswer: (z - 1)**3*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y. Let h(d) = 2*d + 598. Calculate g(h(u)).\nAnswer: -8*u - 2392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.618234ml?\nAnswer: 0.000618234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o - 8. Let i(l) = 4*l + 4. What is 3*b(h) + 5*i(h)?\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1.1 (c) -2\/3 (d) 10\/187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -67\/5, -3, -63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-10304)\/(-240) - 43)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from mhmehkmhihmhhhm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -23*d. Let y(m) = 64*m. Let j(i) = -216*i. Let q(r) = -j(r) - 3*y(r). What is -5*q(t) - 6*w(t)?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -7. Solve 2*t = -0*t - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 48. Is 0.1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 6)*(-6)\/4. Let o be (-5 + m)\/1 - -2. Suppose o*z + 2*z = 572. What is the greatest common factor of 26 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302391109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5597280*p**3 + 89336*p**2 - 2*p - 2.\nAnswer: 33583680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 21*k**2 - 17*k - 8. Let a be m(-19). Let x be (a\/(-55) - 9)*(-10)\/4. Solve -x*i + 16 = 0, -6 = z - i - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*2 + (-1*sqrt(432) + sqrt(432))**2 + (((sqrt(45)*-1)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1158.68459.\nAnswer: -69.5210754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*i - 7 - 9, 2*i - 2*b = 28. Suppose -i*p = -19*p + 320. Calculate the remainder when p is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 - 149*u + 37. Calculate the remainder when y(-15) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + l**2 + l**2 + 0*l**3 - 47*l + 46*l to k*l + a*l**2 + m*l**3 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000691052 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 28962929357.71.\nAnswer: 28962929353.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 + 3\/2*f**2 + f - 5\/6*f**3. Find the first derivative of c(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19386 divided by -54\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/m**(-19)*m)*m\/(m*m**6*m*m)*m*m\/m**(-1\/8)*m*m**(-21) assuming m is positive.\nAnswer: m**(-375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -13*v**7\/1008 - 7*v**6\/720 - v**5\/4 - 22*v**2. Let j(i) be the third derivative of g(i). Is j(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -886, -1739, -2528, -3259, -3938?\nAnswer: -4571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11292?\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16963*s + 4661*s + 7758*s - 2 + 7)*(2*s - 3*s + 2*s).\nAnswer: -4544*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/4 - 269*j + 72361 = 0.\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20539799?\nAnswer: 7, 47, 149, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:44 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 271.95 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -21\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + -0.31. Round h to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -29*m**6\/2 - 2189*m**2\/2 + 2150*m. Differentiate i(y) wrt y.\nAnswer: -1740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5225)\/88 + 4*(-15)\/(-160)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -1.3. Let n = -3.3 + -0.7. Sort z, 2, n in increasing order.\nAnswer: n, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242.0117 + 242. Round f to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 453*u**2 - 10*u + 3. Does 120 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 463*k**2 - 535*k**2 - 2*k**4 + 11 as s + r*k**3 + z*k + g*k**4 + h*k**2 and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-12)*(-10890)\/30855.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*r - 10*p + 2*r**2 - 4 with respect to r.\nAnswer: 2*p + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -2\/17 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:11 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11382 + -4722. Does 90 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t)\/t*t**14\/t*(t\/((t*t**2)\/t*t))\/t*t**(-16) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.094 + 0.094. Sort 3\/5, -0.7, -1\/4, o in ascending order.\nAnswer: o, -0.7, -1\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - 360\/(-63). Let b(z) = -z**3 + 5*z**2 + 8*z + 1. Let p be b(r). Solve 0 = 3*y - n - p, 2*n = 4*y - 23 + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((4 - -2) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 12*i**2 - 16*i + 8. Let b = -1 + 16. Is p(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, -6, 3, -8303 in ascending order.\nAnswer: -8303, -12, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + 1. Let n = 38.77 + -38.17. Put r, n, 2 in increasing order.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2, f: 2, p: 2, a: 1, q: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*r**2\/3 + 20792*r\/3 - 3200\/3 = 0. Calculate r.\nAnswer: -400, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 15. Let v(j) be the second derivative of 2*j - 1\/6*j**2 + 1\/9*j**p - 1\/36*j**4 + 0. Factor v(d).\nAnswer: -(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 + 576*i + 20736 = 0.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -262308 at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/486)\/(((-20)\/60)\/(2\/(-2))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxqtxxqxqpxqtqt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -18*p**2. Let a(l) = 10*l**2 + 2. What is x(a(n))?\nAnswer: -1800*n**4 - 720*n**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 82 - 454 = 0. Let s(w) = w**2 + 56*w + 756. Let k be s(-18). Factor -75*c**5 + n*c**4 + 201*c**2 + 11*c**4 - k*c**3 - 189*c**2.\nAnswer: -3*c**2*(c - 1)*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 11*u + 9. Let x be a(-9). What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 20*f - 1\/51*f**4 - 1\/170*f**5 + 0 + 5\/51*f**3 + 6\/17*f**2. Factor s(m).\nAnswer: -2*(m - 2)*(m + 1)*(m + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8857.524 tonnes to kilograms.\nAnswer: 8857524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 695520937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5.5 (b) -12 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*m**2 + 4394029066005 - 4394029066005.\nAnswer: 232*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-26 - (20 + -23))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/703080 and 37\/1044?\nAnswer: 20389320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 27*z + 69. Let v(t) = 109*t + 271. Let o(i) = 9*p(i) - 2*v(i). What is the derivative of o(q) wrt q?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4429*i + 97*i - 11718*i + 2131*i.\nAnswer: -13919*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, 49372, 0 in descending order.\nAnswer: 49372, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 4. Let t(v) = 20*v + 16. Let f(x) = 9*k(x) + 2*t(x). Let w = -21 - -14. Is f(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 13*r**6\/3 - 25*r**2\/2 + 30. Find the second derivative of k(t) wrt t.\nAnswer: 520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3308 + 3308 + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30155*h*y - 14*y + 1413 wrt h.\nAnswer: 30155*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264161, -526765, -789377, -1052003, -1314649, -1577321, -1840025?\nAnswer: -2102767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 + 151.981. Let m = u - -3.019. Which is the closest to m? (a) 1\/10 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.301 - -0.399. Suppose -u + 1 = -4. Which is the smallest value? (a) -4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and -95\/40996.\nAnswer: 40996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 2 + 1 + 9 in the form q + a*p and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -100*f + 100. Let g be z(-16). Round g to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1 - 3 - 32*t + 2 + 5. Is y(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22363 - -39794. Suppose -27*j + 19856 + a = 0. What are the prime factors of j?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 1, e: 3, u: 4}. Give prob of picking 2 u and 2 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 568, 1121, 1686, 2269, 2876?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(198) + sqrt(198))\/sqrt(11))\/(-2*(sqrt(36) - sqrt(9))) - (5 + -6*(sqrt(2) + sqrt(18) + 1)).\nAnswer: 1 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1966*b - 7693?\nAnswer: 1966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85044544 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15367547901 + 8.528\nAnswer: 15367547909.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -2*n - 18. Sort -0.4, n, -0.1, -5 in decreasing order.\nAnswer: n, -0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2. Let i(y) be the first derivative of y**2\/2 + y + 1. Let b(f) = -8*f - 7. Let u(j) = 6*b(j) + 42*i(j). Determine u(x(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -277732?\nAnswer: 1\/69433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57246897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 3:34 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23363643619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 24 = -4*b, 4*l + 5*b - 33 = 0. What is the highest common factor of 30 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Suppose -9 = -j*z + 21. Solve 0 = -3*k - 6 - z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 48. Calculate c(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffhfhvvfhfhh.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23\/6 (b) -4 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133333030323 - -10?\nAnswer: 133333030333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5032973933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-14) - 4\/(-14). Suppose -o - t*o = 0. Suppose -5*q + n + 15 = o, 5*q + 2*n - 22 = 2*q. Solve -l - 3*a = -3*l - 14, 16 = q*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-60)\/44)\/(40\/440)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*c + 66*c = -154*c - 21672 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 139)*(-16)\/10. Let r be w - (-3)\/9*-3. Suppose 0 = -5*u + 3*z - 47 + 155, -2*z = -2*u + 44. Calculate the greatest common divisor of u and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441.8 - 438.8. Put -105, d, 0.02 in descending order.\nAnswer: d, 0.02, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.056 + -28.056. Let l = 26.1729 + -0.1729. Let a = l + h. What is the third smallest value in -0.5, -0.12, 4, a?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771986, 1543990, 2315994, 3087998, 3860002, 4632006?\nAnswer: 5404010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mlemmmemllle.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(468)\/(-3*sqrt(18)\/sqrt(2)))**2.\nAnswer: 88\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -74892.\nAnswer: -9\/24964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - (-1 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7454 - 3725 - 3729 - 247*l**2.\nAnswer: -247*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -8 + -9 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2 - 5\/24*q**4 + 0*q - 1 - 1\/6*q**3. Let l(t) be the second derivative of i(t). Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 88 = 22*c. Sort 1, c, -1, 9 in increasing order.\nAnswer: c, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**3 + 7*a**2 - 12*a + 2. Let b(i) = -7*i**3 - 6*i**2 + 10*i - 2. Determine -6*b(n) - 5*x(n).\nAnswer: 7*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 27 = 3*h, 5*h + 1112*g + 18 = 1110*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152428125 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3))**(-16)*(n\/(n**(2\/3)*n*n*n))\/(n\/(n\/((n*n**(1\/38))\/n*n))*n) assuming n is positive.\nAnswer: n**(-989\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -4. Suppose -4*c + 32 = 4*o, -c - 31 = -n*o - 3*c. Let t = 18 - o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -13\/4. What is the third smallest value in p, -3, -5, 35?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 26 (c) -3.38 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(16\/3)*u**(-1\/13)*(u**(2\/7)*u)\/u**(21\/4) assuming u is positive.\nAnswer: u**(1411\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36570809 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 3, v: 1, f: 2, c: 4, r: 1}. What is prob of sequence ycy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70d9 - -3?\nAnswer: -70d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12379.581 + 0.28792\nAnswer: -12379.29308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 1645, 4270, 8091, 13102, 19297?\nAnswer: 26670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 7606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5408 + 5408.04. Let i = 0.05 + 0.35. Let j = 2 + 3. What is the smallest value in i, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/(((-1344)\/(-80))\/(-21)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1418.065 litres?\nAnswer: 1418065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6667111 is divided by 45665?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2193, -2197, -2203, -2211, -2221, -2233, -2247?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 170, -4, -1\/4, -1\/23, -1\/6, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 42*u**2 - 446*u + 45. Give x(21).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067673305 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6761 - 0.5761. Which is the closest to g? (a) -2 (b) -1 (c) 8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/2 + 9 + -7. Let o be 2 - (-1 + 1) - (-66)\/z. Let w = 34 + o. Sort 1, -5, -2, w in descending order.\nAnswer: w, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27220912 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Suppose 8*g + 140 = 4*g. Let y(c) = -95*c - 35. Let h(j) = -8*j - 3. Let i(k) = g*h(k) + 3*y(k). Give w(i(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218 - (-2 - 0 - (-3 + 0)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14 - 19 + 4*c**2 + 5. Let y(x) = -12*x. Calculate q(y(b)).\nAnswer: 576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*x = -5*p - 47, x = -2*p + 24. Calculate the highest common divisor of p and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105952 and 86688.\nAnswer: 953568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from {b: 4, s: 2, j: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 698883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 59 + 1045 = 0. Calculate the remainder when 45 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 4 - 4)*(0*f**2 + f**2 + f**2) + 3 - 3 - 4*f**4.\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225*128\/14080*(-1)\/((-9)\/4).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12275, -12274, -12273?\n\"Answer: s - 12276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4224 + -4223. Let k = 1322\/7 + -22425\/119. Is p <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35775 (base 15) in base 16?\nAnswer: 299c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 98\/17, -0.1, 4, -4, 0.4?\nAnswer: 98\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 + 2*z + 1. Let v be a(-1). Suppose 0 = -y + 2*y + 2. Put y, -4, v in ascending order.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1584) + -3)**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2096677838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 48578850.9 to the nearest 10000.\nAnswer: 48580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 22989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 7601.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from etgtegggtgttt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-1) + (-120)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + ((sqrt(12)*-5)\/sqrt(6) - sqrt(2)) + sqrt(2) + sqrt(2) + -5)**2.\nAnswer: 30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 16) to base 7\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 22 - (-1 - 2) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2319*b**4*c**3 - 2*b*c**3 + 3*c**3 + 2*c**2 + 590 wrt b?\nAnswer: 9276*b**3*c**3 - 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s + 8. Let l(d) = 3*d**2 + 8*d + 23. Let g(q) = -3*l(q) + 8*z(q). Give g(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z + 7*z - 10*z - 5*z. Let w(f) = 4*f**2. Give h(w(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Suppose -7*h + 5*h + 4*s = -164, 169 = 2*h - 5*s. Let c(a) = -12*a**2 + 36*a - 36. Calculate h*f(x) - 2*c(x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138004507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -36. What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116630, -9, -5 in descending order.\nAnswer: 116630, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 185862161 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyo when four letters picked without replacement from {y: 6, o: 6, d: 5, c: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23593107 and -3755.\nAnswer: -23596862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttuuuuu. What is prob of sequence uutt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 6*g)*(4 + 0 - 2) - 2*g + 3*g + 0*g - 4*g - 2*g + 0*g + 2*g - 3*g - g - 6*g + 7*g - 4*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1533, -3075, -4619, -6159, -7689, -9203, -10695, -12159?\n\"Answer: f**3 - 7*f**2 - 1528*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-10) - ((-14)\/10 - -1). Let h be 42\/(d - -3) + 3\/3. Let a(q) = -q**2 + 22*q + 15. Let s be a(h). Is 14 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = 2*a - 14*i, -a + 5*a + 10*i = 14*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwq when three letters picked without replacement from {w: 5, a: 1, j: 8, i: 1, q: 3, f: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**(-2\/3)*q*q)\/q))**(-3\/41) assuming q is positive.\nAnswer: q**(4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*w + 2*l, -3*w = -3*l. Let s = 12 - 4. Suppose w = m + s - 388. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40131363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 232560?\nAnswer: 232560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = 3976 - 15295. Suppose 4*n + 104*b - 2144 = 106*b, -n - b + l = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.3, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Suppose -2*d + 6 = 2. Suppose d = 5*n - 8. Let x(h) = h**n - 5*h**2 + 3*h**2 - h**2. What is t(x(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359389 times -0.3?\nAnswer: -107816.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 13. Let f be c(-9). What is the first derivative of -6 + f + 3*l - 8*l wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/55 (b) -4\/5 (c) -5\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 + -9 + 11 + -1 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 50 = p. Let x(i) = -i**2 + 11*i - 10. Let k be x(p). Solve -8 = -k*g - 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.005 + 0.005. Is d greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 9) to base 12\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9) + (36\/60 - 664\/90).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23177*g**2 + 2*g + 3 - g - 165*g**2 - 2.\nAnswer: -23342*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -d - 5. Suppose -6*n - d + 313 = 0. Calculate the remainder when n is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(756\/(-48)))\/(10\/(-21)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = 289*z + 9*z + 342. Which is the second biggest value? (a) z (b) -11\/5 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 3, q: 2, k: 3, n: 1, g: 3}. What is prob of sequence kkpp?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 + -519. What is the least common multiple of 1*-1 + -7 + 9 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/5*3560\/6408. Which is the fourth smallest value? (a) 1\/4 (b) -0.12 (c) v (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 - (13 + -29 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m = -58*m + 180 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2198 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 5. Suppose -31 = -2*n - f. What is the derivative of 5 + 1 - 5 - n + 2*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629062 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 116, 219, 372, 581, 852, 1191?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0694 - -0.06939644. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.425 + -28.4250007669. Round s to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2 - 5*q + 5. Let d be w(-6). Suppose 128 = -4*f + 428. Suppose -d = -5*n + f. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005436958193 rounded to four dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 + 3 = 0. Let f(s) = 3*s**2 + 3*s - 3. Let o = -48 - -50. Let q(z) = 5*z**2 + 0*z + z**3 - 9 + 7 - 3*z**o + 2*z. What is i*f(n) - 3*q(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 25407874 divided by 67?\nAnswer: 379222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -243? (a) 1\/3 (b) -3 (c) -2\/11 (d) -1\/4 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 divided by 28878?\nAnswer: 148\/4813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 127456.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3))**2 + 5 - ((5*sqrt(3)*-1)**2 + sqrt(3)).\nAnswer: -66 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 3*p - 4 = -10*g, -2*p = -3*g + 2. Solve -g = -6*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25476, 50947, 76416, 101883, 127348?\n\"Answer: -f**2 + 25474*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41721059*p**5 + 4016478*p**2.\nAnswer: 2503263540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398712 less than 3398713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 56, -0.5, -0.1.\nAnswer: -0.5, -0.1, 0.3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -f + 11*w + 62, -12 + 31 = -5*w + w + 7 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnee when four letters picked without replacement from {o: 6, n: 3, l: 1, q: 4, e: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 151*p**3 + 8*p + 143*p**3 - 7*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y + 15*d = 39, 10 - 25 = 4*y + 1920*d - 1917*d for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 163 = -d, -2*p + d - 2*d + 117 = 0. Suppose -p = -u - u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-879)\/(-2)*26\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**3\/21 - 31*y**2\/7 - 60*y\/7 - 154. Determine t, given that n(t) = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + -7 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/170 and -38\/119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -0.1, 1, -3, 0.0089, -5\/3, -3\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168446?\nAnswer: 2, 84223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2495*u - 2495*u + 7670*u**2.\nAnswer: 7670*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 203\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -18*k**2 - 13257*k. Let j(i) = -77*i. What is j(g(l))?\nAnswer: 1386*l**2 + 1020789*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 33. Suppose z = o + o + 4*h - 44, 0 = o + 5*h - 34. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 7*q**2 - q + 7. Let h be o(7). Let d(z) = z + 45. What is the units digit of d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, 0 in increasing order.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshh. What is prob of sequence hs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/22) - (2 + 1). Suppose -2*b + w = -15. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 28490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -401?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6989*k + 6928*k - 5978 for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 28476 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465 - 465 - 20*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 1524 + 1344 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10506 + -5035?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9878707427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-9)*-3. Suppose k = -a*k. Suppose k = -2*v - i + 68, v + i = 5*i + 43. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106817843?\nAnswer: 11, 53, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125750 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 18476.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1300333?\nAnswer: 1301003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1422539 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6489 - -6489. Let j(f) be the first derivative of 1\/2*f**6 + 0*f + p*f**3 - 18\/5*f**5 - 9 + 0*f**2 + 27\/4*f**4. Factor j(i).\nAnswer: 3*i**3*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918 = -91*u + 1175 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 513\/8 + -64. Suppose 4*v + 231 = 495. Let h = v + -196\/3. Which is the closest to 0? (a) u (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205395556?\nAnswer: 2, 29, 10391341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 443574409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 287737 rounded to the nearest 1000?\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4 + f**2 + 16 + 43 - 8 - 30*f. Let o be p(28). Sort 2, -5, o, 0 in decreasing order.\nAnswer: 2, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-5)\/(-10))\/(-2*11\/4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3075 and 85\/24.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m + 502 - 594. Let h = -1.2 - -0.2. Which is the second biggest value? (a) h (b) -0.01 (c) -2\/5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405907995 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1123041 (base 5) to base 11\nAnswer: 14362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 76433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 312294, 312320, 312354, 312396, 312446?\n\"Answer: 4*y**2 + 14*y + 312276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -15*n + 667. Is n less than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 15 in decreasing order.\nAnswer: 15, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - (38\/(-8) + -2). Let i be ((-40)\/15)\/(2\/q). Let s(y) = -y - 12. Give s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5481 - -5499. Let q be ((4 - 2) + -2)\/2. Solve q = 4*k + 5*f - 2*f - u, k - 7 = -2*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Suppose -4*g + 37 = 5*w, 2*g + w - 17 = -2*g. Let i(a) be the first derivative of g + 0*a - 1\/2*a**2. Give t(i(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.6 and 487665.704?\nAnswer: 487683.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (2 + -3)) + 16\/120*-78.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 - 2*i**2 - 2*i + 2. Let n(l) = -2*l**2 + 36 - 3*l**2 + 0*l - 4*l - l - 31 - 9*l**3. What is -5*f(t) + 2*n(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) + 165\/(-10)*-4. What is the greatest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 77. Suppose 2*x + 2*d - 6 = 0, c = 3*x + 2*x - 2*d - 22. Suppose h = -3*m + 651, 3*m + 112 = x*h + 748. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 8*t - 9. Let q be r(-6). List the prime factors of (0 - -4)\/(q\/156).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 822 - 194. Which is greater: 630 or h?\nAnswer: 630","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 12*l + 12*l + l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14471017 at least as big as -14471016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3888, 7778, 11678, 15594, 19532, 23498?\nAnswer: 27498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563 by -202.\nAnswer: 563\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hdyhhzhhhhwhzhdzhhy?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 divided by 2?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520 divided by -452?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/43, -5.26, 2\/13, -0.03, 9\/8 in ascending order.\nAnswer: -5.26, -2\/43, -0.03, 2\/13, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 + 716 = s + f, s = -2*f + 1635. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 15 - (-4 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.6 + 6.509. Let f = 0.419 - m. What is f rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 12. Let p be j(7). Suppose -p = 5*i - 15. Which is smaller: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 41 = 5*a + l, l = -2*a + 34. Let m = 17 - a. Let c(b) = 4*b**2 - 1. Determine c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70193540 or -70193541?\nAnswer: -70193540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 4 = 0. Let a be 1446478797\/33 + f\/(-22). Suppose 2*q - 15432691 = -a. Round q to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128445*d + 1128390*d + 4070 = 0 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = 9. Let h be 5 + -2 + 3 + y. Suppose -1 = 3*v - h. Which is the biggest value? (a) v (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*b - 9. Suppose b*p + 0*p = -k + 2, 3*k + 3*p - 6 = 0. Solve -6 = -k*g - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = 2*g, -2*m - 5*g + 35 = m. Determine q so that -m*q**3 + 0 - 8 + 15*q - 10*q**4 - 2 + 20*q**2 + 0 = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1203\/(-6765) + (-2)\/(-10). Let i = g - -31881\/6314. Let d = 1827\/41 + -5\/82. What is the common denominator of i and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**5 + 27*b**4 - 27*b**3 - 3*b**2 + 9*b = 0.\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2 - (2 + 2)). Suppose -320 = -5*r + d, -3*d = -5*r + d + 320. Suppose 0 = 5*m + 3*m - r. Sort n, -5, m in decreasing order.\nAnswer: m, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228673 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1240a69 (base 14) to base 4\nAnswer: -201122321011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 4, i: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.2 - 27. Let l = c - 3. Let o = -0.175 + l. What is o rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1022988, -1022987, -1022986, -1022985, -1022984?\n\"Answer: b - 1022989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Suppose -7*k - 6 = -k. Let n = 471.1 + -471. What is the closest to n in s, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**2 + v**2 - 199*v - 168*v**4 + 9*v**2 + 3*v**2 wrt v.\nAnswer: -2016*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126923309?\nAnswer: 17, 389, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -5, 3, -3, -36, 5, 13 in descending order.\nAnswer: 13, 5, 3, -3, -5, -36, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(5\/2)*c)\/c*c)\/(c*c**(-1\/11))*c**8\/c*c**(-1\/15))**(-41) assuming c is positive.\nAnswer: c**(-142393\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -372, -34, 5, -2 in decreasing order.\nAnswer: 5, -2, -34, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w + 2*w)*(4 - 5 + 2) + 8923*w - 9005*w - 5 + 3 in the form v*w + h and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 639, 2\/19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (9 + -3 + -19)) + -2 + 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1398*(39\/52)\/((-3)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 22 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2561, -2676, -2793, -2912?\n\"Answer: -g**2 - 112*g - 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (0 + 5 + -13)) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(35)\/sqrt(5) - sqrt(7)) + sqrt(7))*6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3235, 12, 148 in descending order.\nAnswer: 3235, 148, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*t - 35, 0 = -t + 3 - 7. Solve -j = -4*q - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 3\/7 (b) 0.5 (c) 1\/7 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 13 + 19 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/736668 and -59\/1026?\nAnswer: 736668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 14058711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {x: 1, s: 1, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7869393.\nAnswer: 3, 7, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1331) + -1) + -2 + 4 + sqrt(1331) + 2 + -1)**2.\nAnswer: -704*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15467 - -15463. Sort -3, 1.1, n, 2\/9, -0.05 in descending order.\nAnswer: 1.1, 2\/9, -0.05, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974592731.\nAnswer: 113, 149, 236063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 30*y - 177 = -16 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1*6\/153. Let f = -2190 - -2189. Is l at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878626439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/6 - y**2\/2 + 21*y. Give r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132597020 - 41587020. What is a rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23333 - -66100. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 13 = 15. Let q be 2\/t*(0\/5)\/(-3). Solve 2*z - 8 = -q*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1627 + -1624. Solve -k*j = -0*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p**2 - 986*p - 3683. Let d(q) = 10*q**2 - 739*q - 2763. Let l(i) = -7*c(i) + 9*d(i). Find the first derivative of l(g) wrt g.\nAnswer: -2*g + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2)**2 + -2*sqrt(22)\/sqrt(2).\nAnswer: -2*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23 + -17)\/((-2)\/3). Let v(r) be the third derivative of 17*r**4\/24 + r**3\/2 - 6*r**2. Let m(s) = 4*s + 1. Determine w*m(t) + 2*v(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {v: 2, c: 1, p: 2, j: 1, b: 2, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 25*c - 26. Suppose j + 7*j = -104. Is u(j) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(-n**2 + 4*n**2 - 2*n**2) + 2*n**2 + 3*n**2 - 3*n**2)*(0*n**2 - 2*n**2 - 15*n**2).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.51 from -2987.\nAnswer: -2999.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2 - 2. Let i(t) = 126*t - 189*t - 176*t - 130*t. What is i(c(w))?\nAnswer: -738*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -5*w**5\/12 + w**4\/24 - 13*w**3\/6 + 2*w**2 - 41*w. Differentiate f(c) wrt c.\nAnswer: -50*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 19*o**2 + 52*o - 25. Calculate m(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1000, 8067, 27276, 64699, 126408?\n\"Answer: 1012*r**3 - r**2 - 14*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.085 + 0.085. Let w = -50 - o. What is the nearest to w in 1\/3, 0.1, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, 89\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 287 - 5509 = 0. List the prime factors of o.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-1 - 56\/12))*(-14)\/(-4).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, h: 2, o: 1}. Give prob of picking 3 a and 1 o.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03972 times -7681\nAnswer: -305.08932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.6256 (b) -2\/9 (c) 2\/13 (d) -1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37\/234 - -1\/234. Suppose z - 7*z + 30 = 0. What is the fourth smallest value in 40, z, 1\/3, f?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628*n - 8 = 610*n - 62. Let s(t) = -19*t + 2. What is s(n)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 176158*i**2 + 0 + 344294*i**2.\nAnswer: 520452*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/13 - 28*z**3\/13 + 138*z**2\/13 - 280*z\/13 + 200\/13.\nAnswer: 2*(z - 5)**2*(z - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.063 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:29 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 28*n**2 + 17*n + 158. Determine d(-14).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and 6118.71?\nAnswer: 6119.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*(-18)\/2. Suppose -4*v = -4 + h. Is v at most as big as -11\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1804406935 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 2.1636943.\nAnswer: 1.7636943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612631 is divided by 10286.\nAnswer: 5757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 30*o - 175. Let t be g(-10). Suppose -u + 66 = -12. Let x be u\/(-27)*3*-3. Which is bigger: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {g: 1, d: 1, w: 3, h: 1, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u**4 + 24*u**3 - 3*u**2 - 6*u = 0 for u.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 23. Calculate the highest common factor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*j - 456*j = -4374. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1460720250 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 - 3 = 0. What is the tens digit of 20 - (f + -4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 515526 and 1898.\nAnswer: 6701838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222670.\nAnswer: 2, 5, 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3590, -2718, -1846?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31702 is divided by 360.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 4071*k - 70055. Give d(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 282, 1160, 2622, 4668?\n\"Answer: 292*z**2 + 2*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f + 130 = 0. What is the units digit of 4\/f - (-424)\/52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11178 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3253 (b) -1\/2 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose 1 = -3*z + c. Solve -2*g + 1 = -5*x, -3*g = -4*x + z - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(15\/2)*10. What is the second biggest value in 0, -0.3, n, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -40, -0.18?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/9 - 11438*a**2\/9 - 15232*a\/3 + 15240 = 0.\nAnswer: -5715, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 64450560?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 2*r + r, -2*r + 2 = 2*t. Suppose 384000 = -r*i - i. What is i rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.08, 3 in decreasing order.\nAnswer: 3, -0.08, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4950*v**2 + 2241*v - 3.\nAnswer: -9900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 31*w + 174. What is j(-25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - sqrt(168)*1)\/sqrt(12) - (-2*sqrt(126))\/sqrt(9))\/(-3*sqrt(21)\/sqrt(3) - (2*sqrt(49))\/sqrt(7)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 - 0.23. Is -3\/5 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 574 + -371. Let z = 8 - 3. Suppose -z*u - 48 = -s. 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 o(m) = 81*m + 12. Let g be o(7). Let b be 2\/9*-6*g\/2. Let d = b + 567. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3394 + 7484. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 63 - 75. Let i be -3*f\/12*1. Let b(t) = 215*t**3 - 2*t**2 + 2*t - 2. Is b(i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135674929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-1 - sqrt(187) - (sqrt(187) + (sqrt(187) - (2*sqrt(187) + sqrt(187))) + sqrt(187))*2)\/(sqrt(44)\/sqrt(16) - 3*sqrt(22)\/sqrt(2))*-1.\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-9)\/2)\/(27\/(-72)))\/2. Let f(u) = 5*u**3 - 4*u**2 + 6*u + 6. Let i(y) = 11*y**3 - 9*y**2 + 13*y + 13. Determine d*i(g) - 13*f(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 120 = 28*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3 + 2*m**2 + 2*m - 135. Suppose -c + 6 = -4*c. Let w(t) = 4*t**2 - 5*t - 2. Calculate c*w(v) - 3*p(v).\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 40 + 5*b + 39 + 17 to the form w*b + u and give u.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - 3.1. What is the third smallest value in 1, -5\/4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-15) + (8 - 2))\/(-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311103905 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1400185l in millilitres?\nAnswer: 140.0185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 10*c**2 - 2*c + 10. Let p be w(-8). Suppose -3*v = 2*z - p, 55 = z - 5*v + v. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19718691.\nAnswer: 3, 17, 386641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135000 divided by -1800.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2511 and -1.3?\nAnswer: 3264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let n(s) = 1. Let u(x) = 20*x**2 + 100. Let v(z) = -100*n(z) + u(z). Determine f(v(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731789131.\nAnswer: 31, 2411, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 15*p**4 + 1 - p + 2*p**2 - 1 + 0*p in the form k*p + h*p**2 + j + u*p**4 + g*p**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 12*v - 23. What is h(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 2*p - 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -127\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-6 - (4 - ((-10 - -4) + -4))) + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/2 + 27*u**4 - 6781*u**3\/2 + 3363*u**2 = 0 for u.\nAnswer: -114, 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-536*y**4 - 412*y**4 + 759*y**4)*(-2 - 2*y + 5*y + y).\nAnswer: -756*y**5 + 378*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227233?\nAnswer: 227233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-304*n - 3*n - 13 + 313*n)*(2*n - 2*n - 3*n).\nAnswer: -18*n**2 + 39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 538, 810, 1082?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313730 is divided by 11204?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:48 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 122. Suppose -4*i + x = -b + 6*b, -2 = i + 4*b. Solve -6*r + i*r + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/7)))**(3\/10)*(u\/(u*u\/((u\/(u\/u**(-1\/4)))\/u)*u))\/(u**(-2\/29)\/u) assuming u is positive.\nAnswer: u**(-8507\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c = 7*c + 2*j + 289, 18*c + 3*j + 65 = 164 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 4*q. Let v(i) = 2*i**2 - 5*i. Let x(z) = 5*k(z) + 4*v(z). Let u(j) = -16991*j + 33972*j - 16981*j + 6*j**2 + 0*j**2. Calculate u(x(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.54 - 1.2. Let z = w - 0.4. Let o = 0.34 - z. What is the second smallest value in o, -3\/5, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 6)\/(3 - (-7)\/(-2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 12, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**2\/5 - 12*z\/5 - 144\/5 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20 (b) 4 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/6 - 22*i**2 + 4*i. Let a(w) = -4. Let u(p) = 44*a(p) - 4*o(p). Let x(r) = -4*r. What is 2*u(g) + 3*x(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p**2 + 2. Let g be n(2). Let q = g + 3\/2. Let i = 3391 + -3385. Which is the biggest value? (a) i (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 - 2*o**3)*(-2*o**2 + o - o) - o**5 + 2*o**5 - 2*o**5 + 3 + o**5 - 68*o + 68*o.\nAnswer: 4*o**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6006 divided by 3003\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + sqrt(325) + sqrt(325)*-2)*2*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 20*f**2 - 26*f + 29. Suppose -11*j - 57 = -8*j. What are the prime factors of h(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16052876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 18*w - 6461 = 0. List the prime factors of w.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 20*s + 8. Let l(t) = t**2 - 10*t + 4. Let m(w) = 5*l(w) - 3*u(w). Let z be m(9). Which is the third biggest value? (a) z (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007565881 rounded to 6 dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 + 16*f - 104)*(-4 + 4 - f) as g*f**2 + v*f + l and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*h - 16 = 0, -3*o - h - 134 = -158. Calculate the highest common factor of o and 21832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -3 - ((28 - 37) + 32)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-826)\/392 + 144\/(-28) + 6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 5302471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 438*o + 3113. What is h(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -24 + -30 - 34\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3610 and 855?\nAnswer: 32490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 20. What is i(-19)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose l*u - u = 94. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + (174 - 183) + -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j - 5*j**2 + 9*j**2 + 0*j**2 - 6*j**2.\nAnswer: -2*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, 5*f + 46 = 5*z + 136. Let w be 2\/10 + 1570\/25. What is the greatest common factor of w and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -11. Suppose f = 5*x - 2. Suppose x*w = 5*w - 246. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*f - 89*f - 84 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 56. Suppose 2*o - 5 = a + 8, z*a = -3*o + 15. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8722*g - 3323086. What is m(381)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2454 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*w + 1 + ((-4 + 7 - 1)*(-1 + w + 1) - 1 + 1 + w)*(-1 + 2 + 1))*(-1 + 6 - 2)*(5 - 5 - 2).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11027, 22079, 33127, 44147, 55115, 66007, 76799, 87467?\nAnswer: 97987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n = -82*n + 18816. Calculate the greatest common factor of 48 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, x: 3, r: 1, d: 5}. What is prob of sequence lnl?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-12)\/10) + (-434)\/(-455)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 636 = 3*a, -2682*a + 2684*a = 5*o - 475. Calculate the greatest common divisor of o and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*v**6 - 2*v**2 - 1934235*v + 610*v**6 + 1934176*v wrt v?\nAnswer: 70200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 24*h + m + 11 = 0, -5*m = 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-208)\/10)\/(18\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18363, -18364, -18365, -18366?\n\"Answer: -z - 18362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11212 equal to -11212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -205. What is the highest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from ggwiiivigiwwwiv?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 25*w**2 + 2*w + 735. Give t(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60501912357*b**2 - 87*b**3 + 60501912357*b**2.\nAnswer: -87*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 7}. What is prob of picking 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -j + 26, j = -3*m - 0*m + 68. What is the second derivative of -m*z**2 + 21*z**2 + 19*z**3 - 25*z - 7*z wrt z?\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 5 + 5)*(10*x + 521*x + 15*x + 544*x - 220*x).\nAnswer: 6090*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/5 - 23256*p**2 + 465156*p\/5 - 465168\/5 = 0. Calculate p.\nAnswer: -38764, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -1511?\nAnswer: -159\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -13442, 0.06, -4, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**3 + f**2 - 4*f. Let z(a) be the first derivative of 17*a**2\/2 - 6*a - 80. Let s(w) = -8*o(w) - 3*z(w). Calculate s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -70695 != -70694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115094809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10851 + 10851. Let s(p) = -2*p + 38. Calculate s(c).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.178808ml to litres.\nAnswer: 0.001178808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let u(x) = x**3 + x**2 + x + 20. Let s be u(f). What is the greatest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f + 35. Let a(c) = c - f - 6*c + c. Is a(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*z**2 - j**3*z - j**2*z**2 - 4*j**2 + 15*j*z + 13*z**2 wrt j.\nAnswer: 12*j*z**2 - 6*j*z - 2*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(208) - sqrt(13) - 5*(sqrt(13) + 5).\nAnswer: -20 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(-1 + sqrt(847) + sqrt(847)) + sqrt(847) - (sqrt(847) - -2*sqrt(847))*5) + 5 + -3)**2 + -5.\nAnswer: -4752*sqrt(7) + 487948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:35 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) 7 (c) -5 (d) -1\/544\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*u - 9*u + 37*u + 28*u - 27.\nAnswer: -3*u - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 7. Let z be -1 - y\/12*5. Factor -2\/3*v + 0 + z*v**2.\nAnswer: 2*v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*v**3 - s**3*v + 5*s**2*v - 427*s*v**3 + 3*s*v - 12*v**3 + 7*v**2 wrt v.\nAnswer: -12*s**3 - 2562*s - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3054.\nAnswer: 21378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061552 rounded to 4 dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -17, -58, -135, -260?\n\"Answer: -2*v**3 - 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 12*o - 14. What is b(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/50*m**5 + 4*m**2 + 4\/15*m**3 - 1\/300*m**6 + 0 + 0*m**4 + 0*m. Factor l(k).\nAnswer: -2*(k - 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17855.913 months?\nAnswer: 148.799275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2174 - 2168. Let h(y) = 3*y - 2. Let a(f) = 4*f - 2. Calculate n*h(k) - 4*a(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53506255.\nAnswer: 5, 11, 37, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1791 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -1, -14, -9 in increasing order.\nAnswer: -14, -9, -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1416805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from {d: 7, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 - 9. Let w be j(3). Let o be -2 + -6*(w + 350\/(-6)). What is o rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703603514 a multiple of 2642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 268000 rounded to the nearest 1000?\nAnswer: 268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4161930935 - 7581.\nAnswer: -4161938516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(171)*1 - sqrt(171)) + sqrt(171) + sqrt(171))*-5)\/(sqrt(9)*-1*-6).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114525.\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*r = -1492, r = 3*f - r - 4472. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -20*o**2 + 0*o**2 + 7*o**4 + 13*o**4 - 5*o**5 + 20*o - 15*o**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**5*x)*x*x*((x*(x*x\/x**(-14))\/x)\/x)\/x*x*(x**(2\/63)*x)\/x**(-2\/11) assuming x is positive.\nAnswer: x**(9850\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 - -0.06. Let s = f - 8.6. Let u = s - -8.00000045. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 64 + 3 + -1?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192335105 and 3?\nAnswer: 577005315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36951 and 63111.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -484 + 988. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d*d**(-2\/11))\/(d\/(d*d*d**(2\/3)\/d*d*d*d))**(-13\/5))\/((((d**(1\/6)*d)\/d)\/d)\/d**(-1)*(d*d*d\/(d*(d*d**(-2))\/d)*d)\/d**4) assuming d is positive.\nAnswer: d**(-977\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + (-2)\/3 + 1496\/(-357).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/5 + 19161*a**2\/5 + 5896800*a - 716137500 = 0?\nAnswer: -3250, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-42) + 74\/(-14). Suppose -r + 4*r = -12. Suppose 0 = 8*q - 33*q - 50. Sort q, h, r in increasing order.\nAnswer: h, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 3\/7, 4, -49244, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = -2*c - 12, 3*c - 6 = 0. What is the highest common factor of 20 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 50 + 20 = 0. Let i be 2 + 6\/(-4) + (-3)\/y. Solve -4*q - 3 - i = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/51 - (-307)\/3. Let i(z) = p*z - 54*z - 1 - 56*z. Let c(r) = -7*r + 5. Let w(j) = -3*j + 2. Let k(m) = 2*c(m) - 5*w(m). Give -i(g) - 4*k(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 0.1, 3\/4, -41\/30?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -30*u**3 - u**2 + u + 1. Determine w(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -5, 0, 503 in ascending order.\nAnswer: -5, 0, 194, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1285221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -347\/12250 + -2\/875. Let f = y + 17\/98. Which is the nearest to 0? (a) f (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/59)\/j*j**12)**(-42) assuming j is positive.\nAnswer: j**(-27300\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/((-112)\/(-180)))\/(2\/(-8)). Let s = h - -142. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3043*s - 4639. What are the prime factors of r(9)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*f - 3*u + 47, -3*f + 2*u = 29. Suppose c + 5*h = 16, -3*h - h + 8 = 0. Let j = f + c. Let s(b) = -5*b**2 - b - 1. Determine s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*n - 12, 87*z - 84*z = 2*n - 12. Let v(p) = 2*p - 5. Let i be v(6). What is the fourth smallest value in -1, z, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -40. What is the remainder when 11 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 3, 399?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {c: 5, p: 8, l: 2}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -2 + 110536\/3198*21\/(-56)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 6. Let a(d) be the first derivative of -15*d**2 - p*d - 9*d**3 + 1 + 0*d**2 + 4 + 6. Factor a(q).\nAnswer: -3*(q + 1)*(9*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -2*j**4\/3 - 20*j**3\/3 + 39*j**2. Let q be y(-7). List the prime factors of q\/(-16)*(-176)\/6.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/588 and 73\/275016?\nAnswer: 1925112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1533321\/5 + 304489. Let w = -2168 - i. Suppose 32*y - 48\/5 + w*y**3 - 156\/5*y**2 = 0. What is y?\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 324 = 2*s + 4*q, -2*q = -4*s + 410. Suppose 2*h + 2*h = s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30374, -60748, -91122?\nAnswer: -121496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.4 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258595 is divided by 372.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5\/8 - 30*g**4 + 255*g**3\/8 + 120*g**2 - 243*g\/2 = 0.\nAnswer: -81, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630333291 rounded to the nearest 100000?\nAnswer: 630300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/565 (b) 3 (c) 17.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1664775 (base 8) to base 3\nAnswer: 220200111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 0 + 0*w**2 + 1\/5*w**4 - 1\/5*w**3.\nAnswer: w**3*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 508 (c) -666\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105972*k*w**2 + 114378*k*w wrt w?\nAnswer: 211944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6*-3 + 2. Does 15 divide 1033\/o + (-6)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2991691 or 2991689?\nAnswer: 2991689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + 210336?\nAnswer: 210450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-126)\/16))\/((-6)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279 + 249 - 119 - 315 = 61*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*k = 4*d - 8, -5*k + 21 = 4*d. Let f be (-7 + 2)\/(-5 - (-15 + 9)). Sort d, f, -4, 2.\nAnswer: f, -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -b - b. Find h such that -5*h**2 + 13*h + 2*h**3 - b*h**3 - 2*h**4 - h**2 + 5*h = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*i - 384, 0 = -q - 5*i - 7 + 86. Suppose -107*x + q*x + 2736 = 0. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 4. Let f be r(4). Is 13 a factor of 39\/(-6)*f\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/(h\/h**(7\/6)) assuming h is positive.\nAnswer: h**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**7\/504 - h**5\/60 + h**4\/6 - 4*h**2. Let q(y) be the second derivative of l(y). What is the derivative of q(p) wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27562 times -153\nAnswer: 4216986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -63, -0.2, 114.4, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/7 and 68\/309.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/60 - (-1 + 4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 + (-14 - -11) - 3) + 4 + -4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.039 and 40.\nAnswer: 39.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/289 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5425035 to the power of 1\/2, to the nearest integer?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 1387684*t**4\/3 - 24116016*t**3 - 63739892*t**2\/3 + 3218880*t - 339200\/3 = 0. Calculate t.\nAnswer: -1, 40\/589, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -145345, -145347, -145349?\n\"Answer: -2*f - 145343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 58*u - 344. Calculate p(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -6*l + 0*l**2 + 4 - 11\/3*l**3. Let u(i) = 4*i**2 + 2. What is -3*q(n) - 8*u(n)?\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 313. Suppose 41*w - p*w - 1995 = 0. Calculate the highest common factor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5725)\/134652*-147)\/(1\/((-8)\/(-9)))\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3313360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 15, -33 = -2*v - 5*a. Is 3\/(v\/3) - -466 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 3*r = -16, 5*d + 3*r = -10. Let p = 3 - d. Let b = 6 - p. Solve 12 = b*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*n - 60, 6*q + 11117 = 4*n + 11037 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6799474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. Let t(u) = -2*u**2 - 77*u + 2109. Let s be t(-57). What is the nearest to s in 4, -35, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 639982594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 555.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*m**2 - 17885*m - 10525284.\nAnswer: 262*m - 17885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1083 (base 12) to base 10\nAnswer: -1827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7))**(2\/51)*m**(17\/2)\/(m*m**1) assuming m is positive.\nAnswer: m**(4625\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 9520*z**4 + 5673912*z**3 - 11319280*z**2 + 5654884*z.\nAnswer: 4*z*(z - 1189)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21 - 0.09. Suppose -239 + 71 + 128 = -20*r. Which is the closest to m? (a) 3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513450 divided by -6\nAnswer: -85575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1602606*j - 518710.\nAnswer: -1602606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a**2 + 543*a - 4685. Determine y(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 3) + (36 - 16) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1633 (base 8) to base 16\nAnswer: -39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2. Let c be n(-2). Suppose 5*u - 4 = -19, 12 = 4*r - c*u. What is the remainder when (-1)\/(3\/(-114) + r) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14339 is divided by 1590?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230181, 460347, 690501, 920643, 1150773, 1380891, 1610997?\nAnswer: 1841091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4*c - 29. Let k(a) = -a**2 + 3*a - 40. Let m(x) = -2*k(x) + 3*q(x). Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + (6 - 11) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2369, -2371, -2373, -2375, -2377, -2379?\n\"Answer: -2*k - 2367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -191d45?\nAnswer: -191d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, w: 1, s: 1, u: 3}. Give prob of picking 1 q, 1 w, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = 161*d - 2470 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38861644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-190)\/(-20) + -8)\/(3\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4887702*k**3 + 100638*k + 13?\nAnswer: 29326212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9 = -2*l + 2*x, -2*x = -l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -85, -120, -155, -190, -225?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {j: 11, s: 7, z: 2}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4150 - -7152. Let n = z + -3017.67. What is n rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44703, 44647, 44557, 44433, 44275?\n\"Answer: -17*k**2 - 5*k + 44725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5182, -13450, -24806, -39244, -56758, -77342?\nAnswer: -100990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(-261))\/((-2)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2475 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284912177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -236*h**4\/5 - 4042*h**3\/5 - 3878*h**2 - 17504*h\/5 - 384 = 0. What is h?\nAnswer: -8, -1, -15\/118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 11*y**2 - 26*y + 38. Determine r(-7).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 22 = -5*i + 2, -4*c + 4*i + 28 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4\/(-56))\/(3\/(-7))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*v - 200*v = -64. Solve 46*u - 44*u = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*s = -13, 3*u + 2*u + 19 = -4*s. Let m be (-3)\/u*(-5 - -3). Let t(j) = 4*j**3 - j**2 + 2. Let p(b) = b**3 + 1. Determine m*p(g) + t(g).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(2040\/16)*((-4)\/(-2))\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-6)*-3*(-24)\/(-8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 1.5, 7.42, 3, -5 in descending order.\nAnswer: 7.42, 5, 3, 1.5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2450, -4882, -7294, -9686, -12058, -14410?\n\"Answer: 10*b**2 - 2462*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -4)\/((-2)\/4). Solve n + 2*n**3 + 0*n**3 - 3*n**2 - n**c + n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 0*z**4 + 0*z + 5 + 5*z - 2*z**4 as r*z**2 + x*z**4 + a*z + l + u*z**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(637) + 5 + (sqrt(637) + -1)*2 + 4*(sqrt(637) + sqrt(637) + sqrt(637)*-1 + sqrt(637) + sqrt(637)))*-5 + -3 + -2)**2.\nAnswer: 33600*sqrt(13) + 9173200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 264007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29232 is divided by 5486.\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**6\/3 - 7*j**4\/12 + 65*j**3\/3 - 5*j + 16. Find the second derivative of l(x) wrt x.\nAnswer: -120*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(11\/2)\/l)\/l)\/l*l*l**(4\/5)\/l assuming l is positive.\nAnswer: l**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-seven quarters of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1321098105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + sqrt(160)*-2)\/sqrt(2) + -3 - -5*(sqrt(245)*-2 - sqrt(245))*3)*-6)**2 + 0.\nAnswer: 68904*sqrt(5) + 18317304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = 72. Let h = -16 + x. Solve -4*n + 2*n = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7591, 9378, 11157, 12922, 14667, 16386, 18073, 19722?\n\"Answer: -j**3 + 2*j**2 + 1788*j + 5802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 12*f - 92. Determine b(20).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 596 - 368. Suppose 6*n - 2*n = -540. Let v = c + n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000246632 to 6 decimal places.\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 9*j**4 + 14*j**3 - 36*j**2 + 8*j = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -52*a - 4 + 336 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 40*c - 4. Let v be y(5). Calculate the highest common factor of v and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-25)\/40) + (-26)\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45124915.\nAnswer: 5, 11, 131, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 510 = -0*a. Let g = a + 65. Find the common denominator of -41\/4 and 4\/(176\/(-235)) - 15\/g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) 0.4 (c) 4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, 6, 0.1, 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 - 1560?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*l + 35 = 0, 12*a - l + 15 = 10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34692206*u**5 - 586*u + 19422 wrt u.\nAnswer: 693844120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*p + 35, 0 = 3*y - 9 - 6. Solve -o = 2*o - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.53686 + 6.55. Round x to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -633 in 4, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q**2 + 4*q**2 - q**5)*(21 + 3 + 0) - 2*q**5 - 2*q**5 + 2*q**5)*(0 + 3 - 4).\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 184953 = -4457. What is the highest common divisor of y and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2565.773544 rounded to the nearest integer?\nAnswer: -2566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1)\/(((-440)\/12)\/22)*7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2066859 and 0.1000512.\nAnswer: -2066858.8999488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:19 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130097 - 94*f**2 + 93*f**2 + 130097.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225298*x**3 - 1743*x**2 + 3*x - 12 wrt x?\nAnswer: 1351788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 7)*(-4*b**2 - b**2 + 4*b**2)*(-14 + 16*b**2 + 3 + 9).\nAnswer: -64*b**4 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.57 - 3.57. What is the biggest value in -62\/3, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117) - sqrt(117)*-1)))\/sqrt(9)*2 - sqrt(78)\/(sqrt(72)\/sqrt(108)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b + 0*b**4 + 49\/60*b**6 + 0*b**5 + 0 - 96*b**2 + 25\/2*b**3. Differentiate x(r) wrt r.\nAnswer: 294*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 9) + 5 - (-2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from {y: 4, p: 1, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, 75, 336, 731, 1254, 1899, 2660, 3531?\nAnswer: 4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4323 - -920797\/213. What is the biggest value in -1\/7, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5257 + 16637. Is t a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*r + j + 2, r + 5*j = 27 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**2 + 9*j - 1. Let f(u) = -u**2 - 2*u. Calculate 4*f(t) + y(t).\nAnswer: 12*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 68, 200, 458, 884, 1520?\nAnswer: 2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169536 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:02 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019970068 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2\/p)**(3\/2)*p\/(p*p*p*p*p**7*p)*p**(-10)\/p*p)**(-6))**(2\/17) assuming p is positive.\nAnswer: p**(234\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.09 (b) -3 (c) 2\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4387 - 629 = 347*r - 1100 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301 and 114724.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*i + 2*y, 3*i - 8 = 2*y - y. Let h(j) = -26*j + 31. Let n(g) = 6*g - 7. Let q(w) = 2*h(w) + 9*n(w). Let b(r) = r. Calculate i*q(t) - 7*b(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 2\/15 (c) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -0.0491.\nAnswer: 0.3928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020313200 (base 4) in base 11?\nAnswer: 9aa005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101564 + -26034?\nAnswer: 64530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 126. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149418016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*((-66)\/15 - -4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9188797, -2, 5 in descending order.\nAnswer: 5, -2, -9188797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540440380 and 18.\nAnswer: 4863963420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by (43\/(-43))\/(53\/145 - (-14)\/(-35))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156185 and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2300.8 millimeters?\nAnswer: 2300800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:51 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*g + h - 9, g + 4*h = -16. Let z(b) = 9*b**2 + 0*b**3 + b**3 + 5 + b + 7*b. What are the prime factors of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrcnrnrbrbrnbcprgrb. Give prob of picking 1 g and 2 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1582 divided by -9.\nAnswer: 1582\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -238*w**2 + 31*w. Let a(g) = 5*g + 534. Calculate a(d(p)).\nAnswer: -1190*p**2 + 155*p + 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -529745*z**2. Let o(a) = 457*a. Determine t(o(s)).\nAnswer: -110636713505*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.3. Let h = -1.2 + 0.8. What is the third smallest value in h, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -44. Let d be (-702)\/(-36)*(-22)\/(-33). Let o(i) = 0 + v - d - 14*i. Let l(g) = -g. Calculate o(l(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182\/18 - 10\/(-45) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83626 > -167253\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**3*q**3 - 287*a*q**3 - 2*q**3 - 27885*q**2 wrt a.\nAnswer: -30*a**2*q**3 - 287*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 29. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6997584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**3 - 51*f**2 - 6*f + 110. What is c(7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 550 = -u - 6*p, 2*u - 1090 = 4*p. Round u to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12652038 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 4*r - 9. Let g(l) = -23*l**2 - 23*l - 53. Determine -6*g(n) + 34*s(n).\nAnswer: 2*n**2 + 2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*g - g - 101, -4*f = -3*g - 440. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u\/(u*u**(-2\/15)))*u*u\/(u*u**(-4)*u))\/(u\/((u**(2\/5)*u)\/u*u*u))**(-1\/2) assuming u is positive.\nAnswer: u**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251 - -697\/3. Let i = -23457\/2312 - -6\/289. Find the common denominator of p and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 80*a + 21508. Give o(112).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28606020 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 16) in base 12?\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2. Let w(a) be the second derivative of 0*a**3 + 42*a - 7\/6*a**4 + 0*a**2 + 0. Calculate v(w(q)).\nAnswer: 1176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 15. Let f(i) = 44*i - 7 + 27*i + 36*i - 108*i. What is 10*f(b) - 4*k(b)?\nAnswer: -2*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let s(u) = -2 + u - 2*u + 2. Determine a(s(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -665362 (base 9) to base 2.\nAnswer: -1100001000100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - 3*q, -3*m - 39 = -8*m + q. Let s = -23 - -27. Solve 4*g + 4*a - m = 0, -a - 22 = -g - s*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1, -0.169, -2\/13, 1\/9.\nAnswer: -0.169, -2\/13, 1\/9, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let i(u) = -16*u**2 - 1200*u + 10. Give i(t(n)).\nAnswer: -16*n**4 + 1200*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:30 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10778751 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5\/5 - 138*s**4\/5 - 141*s**3\/5 = 0.\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3\/13 - 10*k**2\/13 - 4*k\/13.\nAnswer: 2*k*(k - 1)*(7*k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104904136423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l - 33*l**2 + 1\/30*l**5 + 0*l**4 + 0*l**3 + 0. Let f(w) = w**2. Give f(g(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -10013.\nAnswer: -360468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8899.7l in millilitres?\nAnswer: 8899700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10374, 21076, 32096, 43434, 55090?\nAnswer: 67064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12 - 3*r - 1 + r**2 - 18*r - 4. Let b be f(22). What is the second derivative of -22*i - 20*i**b + 45*i - 33*i wrt i?\nAnswer: -400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13*u = -80. Let f(v) = 8*v**2 + 16*v + 41. Does 25 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*h + 41*h = 795810. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z - 57*z - 17*z - 40*z + 32*z.\nAnswer: -134*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 22 (b) 2\/377 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0 - c + 0) + (149 + 506 - 65)*(0*c - 2*c + 3*c).\nAnswer: 591*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.59839 - 4.6. What is a rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.29, 34, -4 in decreasing order.\nAnswer: 34, -1\/5, -0.29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1689 (c) -61175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769 = 242*f + 365*f + 286*f + 32272 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-21))\/(1062\/413). What is the nearest to 3.5 in 0.2, -2\/21, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 761670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 900147 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 4*c + 5. Let w(k) be the second derivative of 3*k**5\/20 - 2*k**3\/3 - 3*k**2\/2 - 8*k. Let l be w(-1). What are the prime factors of o(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10902 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.46 + -0.14. Let c = -5 - k. Let s = c + 0.3. Sort 1, 4, s in increasing order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -77*r**3 + r**2 + 7*r + 1. Let b(v) = v. Let i(x) = -5*b(x) + k(x). Let g(n) = -n. Let j be g(1). Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46920 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 667695011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 + -0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1281*f**2*l - 2768*f**2 - 924*f*l - 2*f - 2*l - 11 wrt f?\nAnswer: 2562*l - 5536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from qcclccnqqccuqtlunnl.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3 = -75*r + 78*r, 26 = 5*r - 2*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74716237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313*a + 1420*a = 23112. Calculate the remainder when 652 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35 - 44) + (1 - -10). Solve 21 = -4*u - 5*z, -2*z - 9 = n*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14, 4, -87.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1743455 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p + 141. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42891966?\nAnswer: 2, 3, 13, 183299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + o - 3*o)*(-5 - 6 + 2) - 2 + 2*o + 2)*(0*o**4 + 0*o**4 + 2*o**4).\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10675, 85373, 288131, 682981, 1333955, 2305085, 3660403, 5463941?\nAnswer: 7779731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/51484 and 1\/16.\nAnswer: 205936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-9))\/(-8)*4\/(-16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(224\/(-8))\/13104?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/21 + 0 + (-168)\/294. Which is smaller: 8\/2667 or y?\nAnswer: 8\/2667","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 12. Suppose a - y - 9 = 0, -2*a + y - 3 = -4*a. Let u be x(a). What is the tens digit of 92\/(-3)*6\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*y - 1438 = 3469 - 147 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwdkl. What is prob of picking 1 i, 1 l, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 3*y. Let w be v(2). Is w not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 221, 276, 279, 212, 57?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {q: 1, x: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8875.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 33*j + 991. Let m be a(-30). Is 1\/994 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719665 < 1719668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 212. Let p = 134 - n. Sort 0.1, -5, p, 3\/2.\nAnswer: -5, p, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2053 - -10315352?\nAnswer: 10320435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038744?\nAnswer: 2, 73, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -115 from -0.017.\nAnswer: 114.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-30)*-3*(-60)\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-9 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -29.24 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - t - 13, 2*a + 2*t - 3*t - 5 = 0. What is f in -a*f - 7\/2*f**2 + 1\/2*f**3 + 0 = 0?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/16*1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -41, -52, -53, -38, -1, 64?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*x**2 + 3790*x**2 + 224*x**3 - 205*x**3 - 1 + 1 - 75*x**4 wrt x?\nAnswer: -1800*x + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11622*z**2 + 148*z - 149*z - 6727*z**2 as w*z**2 + x + p*z and give w.\nAnswer: -18349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**4 - z**3 + 3*z**2 - z. Let o(n) = -28*n**4 + n**3 + 24*n + 3. Let f(k) = -o(k) - r(k). Find the second derivative of f(v) wrt v.\nAnswer: 324*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and 61\/327.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 627.1 + -627. Let y = -3 - -4. Let m = -3.8 + 2.3. Which is the fourth smallest value? (a) m (b) y (c) -0.2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - c)*(1048 - 60*c + 1057 - 2103 - 5*c**3).\nAnswer: -10*c**4 - 120*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26 - -23)*(-32)\/6. Let d(q) = -q**2 + 16*q + 25. Let u be d(x). Factor 6*j**2 - 3*j**2 + 48 - 24*j - u*j + 73*j.\nAnswer: 3*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10\/n)\/n**(8\/3))**(-3\/20) assuming n is positive.\nAnswer: n**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1. Let b(l) = l + 5. Let c(u) = -b(u) + 5*d(u). Let w(i) = -3*i**2 - 8*i**2 - 7*i**2 + 15*i**2. Give w(c(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2*9\/(-36))\/(-4 - 0)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10534681?\nAnswer: 2477, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/15 - -1\/3. Let d = -17 - -17.5. What is the third biggest value in 0.3, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 1133*z - 5600. Calculate v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z**2 + 3*z + 102. Let v(a) = 160*a + 2. Calculate v(l(q)).\nAnswer: -2720*q**2 + 480*q + 16322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3369 (b) 5 (c) 0.4 (d) 0.04 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzevvqqvnuvvv. Give prob of picking 1 q and 1 n.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6698 - 0.0698. Let o = 8.31 + -0.91. Let h = o + f. Which is the nearest to -1? (a) h (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-5100)*17 - 9\/(-12)*228\/(-270).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 230. Calculate the remainder when w is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-136)\/(-32))\/((-5)\/(-1040))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010101 - -11?\nAnswer: -110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421910 is divided by 1867?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 0 + d**3 + 1\/3*d**5 + d**4 + 1\/3*d**2.\nAnswer: d**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/3)*v*v))**(-2\/7))**(-3\/20) assuming v is positive.\nAnswer: v**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -7 = 5*h - 17. Suppose 0 = -h*q + 4*g + 42, j = q + 4*g - 7 - 2. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.33\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -135*s**3 + 2*s**2 - 388*s - 1194. What is n(-3)?\nAnswer: 3633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 + 182*z**2\/3 - 2*z - 546.\nAnswer: 2*(z - 3)*(z + 3)*(z + 273)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 53*s = -32. Suppose -s*h + 242 = -1054. Suppose 3*u = k + h, u - 4*k + 2*k - 49 = 0. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/730956 and 55\/730956.\nAnswer: 730956","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.88 - 0.12. Which is the nearest to p? (a) -2\/5 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 - 96 - 130*k**2 + 191 + k)*(0*k + 7*k - 6*k) to the form c*k**2 + g + f*k**3 + i*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = 4*o. What is the smallest common multiple of (-11 - -3 - 3)\/o and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f - 6 - 55*f**2 + 10*f + 7*f + 4*f + 651*f**2 wrt f.\nAnswer: 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-44)*1*28\/21\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 12 - 7) + (4 - (1 + -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**4 + 70*a**3 - 2*a - 33258 wrt a.\nAnswer: -16*a**3 + 210*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221254 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 118*u - 1069. Determine i(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4765 != -4773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 610 + -614. Let b be (-16*(-2)\/n)\/(-2). Solve t + b*t - 4*o = 9, -3*o + 2 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 5}. Give prob of sequence nt.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946 - 313 + 251 = -72*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*z**2 + 90*z**2 - 246*z**2 + 30*z**2 to s*z + u*z**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y. Let r be y + (-3)\/3*-750. Round r to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 1700*a + 59 + 702*a as t*a + v and give t.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 431\nAnswer: 1\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -86. Which is the second smallest value? (a) g (b) -2 (c) -4\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 165614 - 165614.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5788691 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74585 is divided by 82.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkkkdzkkwzkkwzk. Give prob of sequence wzdk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 0*p + 2*p)*(-4*p + 3*p + 3*p)*(0*p + p - 5*p).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*v = 550*v - 1312*v - 3144 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 5\/3 (c) -2 (d) -5 (e) -1523 (f) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 2*z**2 + 9*z - 12. Give g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -328 and -4?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 25, -w + 2*f - 26 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21088 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/13 + (-1404)\/(-5070))*-15. Which is the fourth biggest value? (a) 1 (b) m (c) -0.2 (d) -1\/3 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/((-21)\/126)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, 4 in increasing order.\nAnswer: -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8747124 millilitres?\nAnswer: 0.0008747124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4230 and 3059700?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (55\/20)\/(4\/(-16 + 0)). Suppose -24 = -0*t - 2*t. Let r = t + p. What is the nearest to 0 in 4, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4084 (base 11) in base 6?\nAnswer: -41024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.6 and 0.008413?\nAnswer: 3.608413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-4)\/(-16)*22)*140\/(-21)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -62.1728612+-0.04\nAnswer: -62.2128612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 722*t - 4441. Determine i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5) + 2 - (-13 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2442*r - 18347 = -1950*r + 29377 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (-19)\/10)\/(2\/20). Let u(z) = -8*z + 19. Give u(m).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m - 3*m**3 + 5*m**3 + m**3 - 3*m**3 + (-3*m - 2 + 2)*(0*m**2 - 17*m**2 - 34*m**2).\nAnswer: 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = 3*p + 19*u, -4*u + 6 = 7*p - 7*p - 3*u - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2. Let g(r) = 7*r. Let k(h) = -h. Let m(y) = g(y) + 4*k(y). Give a(m(b)).\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 4. Let z be v(6). Let c(r) = -2*r**3 + 17*r**2 - r. Let q be c(8). Let m be ((-12)\/(-2))\/(52 - q). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:26 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from hhhhfhhfhffhhhhf?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 - 102. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -82.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*o + 12, -f + 4*o + 119 - 99 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 207*c - 1700. Give l(8).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206655138 divided by -3.\nAnswer: -68885046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-28)\/12)*-1. What is the second smallest value in y, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -55. Suppose -174*m = -168*m - a. Put m, -1, 0 in decreasing order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - 13c?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3331121 - -11?\nAnswer: 3331132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 875969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 14*d - 96. Solve -3*j - 4*h + d = -3, 0 = j + 5*h - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 14 - 27 - -12. Sort -1, p, 14, -0.7, 0.1.\nAnswer: p, -1, -0.7, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-5) + (-312)\/(-15). Let c = b - 14. Solve -c = 5*g + p - 0*p, 0 = -3*g + p - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(2662) - (sqrt(2662) + (sqrt(2662)*-1 - sqrt(2662)))) + sqrt(2662))\/((sqrt(99)*2 + sqrt(99))*-6))**2.\nAnswer: 121\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*p - 4*v, p = 2*p + 2*v - 13. Calculate the greatest common divisor of p and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -64. Let j = y + 40. Let i = j - -6. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52539, 50466, 47011, 42174, 35955?\nAnswer: 28354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-105)*171\/19\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-414)\/(-253))\/(-9) + 125\/(-220).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4)*-2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 365296 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/7316 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8599 + 8598.5. Let g = 0.25 + -0.15. Which is the nearest to 4? (a) 0.2 (b) g (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 12640024.603218.\nAnswer: -12640008.603218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11885 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3716 - -3711. Let a(u) = u**3 + 6*u**2 + 8. Determine a(p).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 11. Suppose -1017 - 849 = -552*i - 210. Solve i*v - z - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/(p*p**(-6))*(p\/((p*p\/(p*p**0)*p)\/p))**(-6\/19))**(-5\/11))**38 assuming p is positive.\nAnswer: p**(-2280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 6\/11, 43, 30?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**3 - x**2 + x. Let n be (0 + 1)*(2 + -1). Let d be o(n). Let j = d - -2. Solve 3 = -4*w + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -27. Suppose 30 - 40 = -g*d. Solve 2*u - d*m - 2 = 1, -2*u - 3*m + 11 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 69, 2\/3 in descending order.\nAnswer: 69, 2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/75)*q**(-6\/7)*q*q\/q**(1\/45)*q*q**(-5)\/q assuming q is positive.\nAnswer: q**(-6152\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -18. Let v = w + -4.5. Let p = v - 0.4. What is the closest to 0 in 2\/7, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1999, 7999, 17989, 31963, 49915, 71839, 97729, 127579?\n\"Answer: -v**3 + 2001*v**2 + 4*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -621\/5 + 125. Suppose -3*m = m - 4. Put -1\/4, m, q in decreasing order.\nAnswer: m, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*a - 837 = 103*a - 165. Sort -2, -269, -1, a in decreasing order.\nAnswer: -1, -2, a, -269","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**14)**(-17\/7)\/((u\/(u\/(u\/((u**(1\/8)\/u)\/u)*u*u)))\/((u**(-2\/7)*u)\/u*u)*((u\/((u*u**5)\/u))\/u*u)\/(u*u**(-4))) assuming u is positive.\nAnswer: u**(-177\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22*f + 9*f + f**3 - 7 + 0*f**3 + 10*f**2. List the prime factors of a(-11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -22*v - 120 + 206 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + 5 - 8 - (10 + 106 + -64)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9624 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 2 - (3 + 1). Let l(r) = 5*r + 14. Let a(z) = 2*z + 5. Let w(o) = -8*a(o) + 3*l(o). Let n be w(q). Sort -2, n, 3 in increasing order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42 + (6\/21 - 2\/7). Let j be t\/147 - (-131)\/(-42). Let g = j - -7\/3. Put g, 1, 2, 2\/15 in increasing order.\nAnswer: g, 2\/15, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11742 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9\/7)\/z*z)**30 assuming z is positive.\nAnswer: z**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-5)\/(-7) - 1). Let v = 15543 - 15537. Which is the closest to n? (a) -5 (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*g - 23 - 2590 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*(-6)\/2*176\/(-440).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 96 = 10*k. Let n = k - -50. Solve -i = n*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2167*z**4 - 2687.\nAnswer: 8668*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*a - 816421 + 817060 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42702?\nAnswer: 2, 3, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255709126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 0 - -5)*2\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49622?\nAnswer: 2, 43, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 93 = -3*w, 3*w - 22 - 47 = 3*c. Let k be -2*c\/(0 - -3). Suppose 12*t = k*t - 100. What is the greatest common factor of 10 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -215, -142, -67, 10, 89, 170?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 3, -5, -3 in descending order.\nAnswer: 3, -1, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c1b + -4?\nAnswer: -2c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 + 356. Suppose -a = 2 + 2, a = -4*o + k. Suppose 9*y + 2*u = 7*y + 204, -3*y + 5*u + 322 = 0. What is the remainder when y is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15308?\nAnswer: 15308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 922\/11 + -84. What is the second biggest value in 10\/7, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/5 - 136*a**3\/5 - 1686*a**2\/5 + 4408*a - 20216\/5 = 0 for a.\nAnswer: -38, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1669*m - 2 - 3006*m + 1631*m. Let x(d) = -d**2. What is x(c(r))?\nAnswer: -86436*r**2 + 1176*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b028 (base 15) to base 16.\nAnswer: 2e26e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02169 and 0.2.\nAnswer: 0.004338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coccogs. Give prob of picking 1 g and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 315 = -5*k + b, 5*b - 234 = 4*k. Let q = -305937 - -1529686\/5. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 37 = -3*b + 3*p, 0 = -5*b - 2*p + 10. Is b <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:01 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 0, 2.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*k - k + 2*k)*(-2 - 2 + 3) + (2 + 0 - 1)*(-1 + 1 - 12*k))*(10*k - 2*k - 3*k) to i*k**2 + y + x*k and give i.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 951654 and 36102.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.23 + -0.23. Let s = -10 + l. What is the biggest value in s, -0.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -47 + (-10 - 1) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1*9\/2)*0. Let i(c) be the third derivative of s*c**3 + 1\/120*c**6 + 4*c**2 + 0*c**4 + 0*c + 0 + 1\/30*c**5. Factor i(y).\nAnswer: y**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(425))*-1)**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (30\/(-25))\/(2\/(-35)). Let g = -13 + a. Let l(r) = -r**3 - 3*r**2 - 2*r + 1. Calculate the smallest common multiple of g and l(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let c be (n\/4)\/((-8)\/(-1312)). Suppose 44 = p + 2*q, -2*p + 0*p = -2*q - c. Calculate the highest common factor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 637 + 19?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-56)\/560\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9193 (b) 1\/4 (c) -0.5 (d) -7 (e) 1 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8689*d**3 - 4*d**2 - 5*d - 377?\nAnswer: 52134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99145 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 1:33 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1701 divided by -38580\nAnswer: -567\/12860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 22*d**3 - d**2 + 20*d - 48. Let x be l(4). Round x to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 78*x - 9. Give d(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**4 - 42*b**4 + 13*b**4)*(-3 + 5 + 0).\nAnswer: -76*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-2)*40\/60. Put 9, 8, j in ascending order.\nAnswer: j, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 37 - 15 + (-2 + 4 - 1)*(0 - 3 + 5))*(2*r + 5*r - 5*r).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 8. Let q(y) = 3*y**2 - 18 - 19 - 21 + y**3 + 55 - 6*y. What is q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000102 (base 4) to base 7\nAnswer: -14665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3)*q**(-1\/11)*q*q**(-1\/4)\/(((q*q**(-2\/19))\/q)\/q))**(-1))**(9\/4) assuming q is positive.\nAnswer: q**(-25815\/3344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82.65 - 113.04. Round f to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13361 = -473*x - 11235 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let k(u) = -11*u + 13. Let n(t) = -2*h(t) + k(t). Suppose 2*o = m + 2*m - 22, 0 = 2*m - o - 14. Let b(q) = -7*q + 6. What is m*n(j) - 11*b(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 264*f - 27 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 56*a = 3*m - 28, -4*m + 24 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-24) + (-738)\/(-8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 77 + 101. Suppose -k = -2*j + 41, 8*k - 3*k = -4*j + 117. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023 (base 5) to base 2.\nAnswer: -100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v - 24*v - v**2 + 43*v to the form s + b*v + k*v**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -934 = 6*a - 1006. Calculate the remainder when 83 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/319 or 1?\nAnswer: 3\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -148. Which is the closest to -2\/7? (a) 2\/11 (b) i (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 10*u - 35940 = 0. Round u to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/65340*-6)\/(((-27)\/(-36))\/(54\/12)).\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62107640 divided by 2.\nAnswer: -31053820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 - 5 = 0. Let f(u) = 7*u**2 + 12*u + 14. Let v(a) = -8*a**2 - 11*a - 14. Let i(d) = z*f(d) - 5*v(d). List the prime factors of i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 120*r + 79. Calculate n(-4).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z = 22*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:35 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1025 + 4*f**2 - 514 - 511. Let a(t) be the third derivative of -t**4\/12 + t**2. Determine c(a(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5643*u**3 + 8348.\nAnswer: -16929*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -645379*a**2*d**3 - 16151280*a**2*d**2 - 2*d**2 wrt d?\nAnswer: -3872274*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (5\/1 - (-1 + 2)). What are the prime factors of 1\/(3\/(-12)) + 783*r?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/12 + 139*i\/12 - 230.\nAnswer: -(i - 115)*(i - 24)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1662 and 47\/11634?\nAnswer: 11634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 27433.7 to the nearest 100.\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1644, 1564, 1488, 1416, 1348, 1284?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 414685.\nAnswer: 414684.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41434747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*l - 169*l + 33754 + 41714 = 2055*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 21*s**3 + 2*s - 1. Let o be v(1). Suppose 0 = 3*c + 3*y + 2*y - 66, c - o = y. What is the highest common factor of 88 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2915*b**2 - 2220*b**2 - 1222*b**2 + 1403*b**2)*(-2*b**3 + b**3 + 0*b**3).\nAnswer: 4954*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 14239?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17518 and 629265.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32394383 + -75192.53.\nAnswer: -32469575.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 53, 32, -9, -76, -175, -312?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1. Let o(w) = -w**2 - 23. Calculate -o(d) + y(d).\nAnswer: d**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -12*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 62.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 46541964344.529?\nAnswer: 46541964344.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 4*m**3\/3 - 266*m**2 - 3336*m - 999. Factor o(b).\nAnswer: 4*(b - 139)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 16*z\/3 - 32.\nAnswer: 2*(z - 4)*(z + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 24. Let s be 4\/(-6)*(-5 + -1). Suppose s*j = 12 + 8. What is the remainder when f(11) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + ((2 - 1) + -12 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336396868?\nAnswer: 2, 29, 653, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**2\/2 + 22*t - 4. List the prime factors of p(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + n - 2*n = -6*n + 2*n + n + 23, 63 = 7*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -150529*c**2 + 1. Let z(y) = -2*y**2. Determine d(z(x)).\nAnswer: -602116*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, t: 2, r: 1, o: 3, n: 3, p: 2}. Give prob of sequence or.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -4 - 1) + 8. Let l(w) = 2*w + 4. Let d(m) = -1. Let s(f) = 26*f - 779. Let u be s(30). What is u*l(i) + y*d(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = 2*p. Let m = 1 - p. Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1986810 divided by 97\nAnswer: -1986810\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(1*(-3)\/42)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-21*5\/45.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 15. Let c(v) = 7*v - 44. Suppose 6*j = -4*j - 110. Let k(d) = j*r(d) - 4*c(d). Let m(t) = t**2. Determine m(k(x)).\nAnswer: 36*x**2 - 132*x + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -1. Is (-10)\/b*(4 - -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01116401332 rounded to 7 dps?\nAnswer: 0.011164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose 5*y + s = 2*z, 2*y - 5*y = -5*z + 10. Let x(n) = n**z - 8*n + 4*n + 7 - 2*n. What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 83. Let a(d) = -18*d + 165. Give -3*a(g) + 7*t(g).\nAnswer: -2*g + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8728 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3075 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*y + 45, 0 = -5*y + 6*b - 5*b + 21. Suppose -t - 12 = -y*t. Solve t*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 412248\/(-46320) - (1\/(-7))\/(10\/(-7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9539\/14 + -681. Let m = 137\/70 - r. Factor -m*k**4 + 8\/5*k**5 + 0 + 18\/5*k - 22\/5*k**3 + 12\/5*k**2.\nAnswer: 2*k*(k + 1)**2*(2*k - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 276, 905, 2130, 4149, 7160, 11361?\n\"Answer: 33*d**3 + d**2 - 3*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636 + 243 - 1443 = -585*n + 6939 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1 - 2) - 2. Suppose -x*m + 5 = -7. Calculate the lowest common multiple of m and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 2*t + 5. What is f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -328940 rounded to the nearest 1000?\nAnswer: -329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 212471370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*z - 3*b, -11*z + 4*b = -8*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65220391*t**5 + t**2 + 27941783 wrt t?\nAnswer: 3913223460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*y - 3*y - 9, 0 = 3*w + 3*y + 3. Which is bigger: w or -4\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxjxj. Give prob of sequence xxj.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 53*d**2. Let f(x) = 26*x**2 + 133. Give f(z(a)).\nAnswer: 73034*a**4 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwme. Give prob of sequence mw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 23, 8, -10, -1 in decreasing order.\nAnswer: 23, 8, 0, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352 + -339. Suppose 8*k - z*k = -60. Suppose -2*h - 13 = -37. Is h equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*i + 10*i + 4*i**5 - 30*i - 1)*(0 - 1 + 2).\nAnswer: 4*i**5 + i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.685 (b) -0.0549 (c) -0.08 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 210200?\nAnswer: -210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-29*(-106)\/(-7685))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 16.\nAnswer: -71\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 34. Let j(q) = 139*q + 15. What is the hundreds digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5.8. Let d = a - 0.8. Sort d, 2, 3\/8 in descending order.\nAnswer: 2, 3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3205 is divided by 1594.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - s + 15, 2*n + 2*s = 4*s + 18. Suppose 0 = -z + 2*h + 6, -4*z + n + 26 = 2*h. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.91939 minus -0.0447?\nAnswer: -390.87469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164298 and 190302?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267 = 4*a + t - 1833, -2*a = 5*t - 292. What is the remainder when 845 is divided by a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/35*(((-42)\/(-168))\/((-3)\/12))\/13.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3799.8198 to zero decimal places.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 at most as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/24547348 and 17\/304936.\nAnswer: 49094696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 + 9591*u**2\/2 + 994803*u.\nAnswer: 3*u*(u + 223)*(u + 2974)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 2*g - g - 8 - g. Let s(p) = 2*p + 7. Let j(d) = -3*n(d) - 4*s(d). Calculate the least common multiple of j(9) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 - 13 = 0. What is the units digit of k\/(-3)*9*7\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1818*d**2 - 1152*d - 282*d + 901*d**2 + 919*d**2.\nAnswer: 2*d**2 - 1434*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**2\/2 + 374. Let c(p) be the first derivative of 97*p**2\/2 - 194. What is c(g(w))?\nAnswer: 291*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -113, -102, -91, -80, -69?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492 - 1067 = -85*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 239280728 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.5 (b) 14 (c) -0.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 67*u - 131*u + 62*u. Let o(z) = 3*z**2 - 2. Let k(g) = 1. Let d(b) = -2*k(b) - o(b). What is y(d(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.4. Suppose -4*r - 3*k + 23 = 0, 3*k + 2*k = 2*r + 21. Let z be r\/4 - (-21)\/(-42). Which is the second biggest value? (a) z (b) -8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576925346.\nAnswer: 2, 1288462673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 - 167. What is the units digit of x\/(-8) - 2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.1 + -19.1. What is the closest to p in -0.4, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 421 + -258. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1070 and 227375?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6032, -12074, -18116?\nAnswer: -24158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose -r*n + 112 = 3*m, -4*m + 5 = -11. Suppose 11396 = -2*l + 120*l + 36*l. Calculate the remainder when l is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 2. Let c(x) = 0 + 4*x - 5*x + 3 - 2. Let u = -10 + 7. What is u*c(w) + l(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose 2*i - 5*f = 5*i + 16, 3*f + 6 = -d*i. Suppose 5*y - 230 = -i*t, 0 = -4*y - 0*t + 2*t + 184. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.03 - -0.03. Let y = 2 - t. What is the closest to -2\/7 in y, -5\/6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(60) + sqrt(240)\/sqrt(4))\/sqrt(2))\/sqrt(6).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)\/(h**(-16)\/h))\/(h**18*(h\/h**(-1\/2))\/h*h))**(5\/11) assuming h is positive.\nAnswer: h**(-245\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12821 and 14327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 11. Let t(n) = 2*n - 21. Determine -5*c(s) + 3*t(s).\nAnswer: s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23216843, 23216841, 23216839, 23216837?\n\"Answer: -2*l + 23216845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*y + 111*y - 11545 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190) + (-2*sqrt(190) + sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190)) + sqrt(190)*-2*3)\/(-6*4*(sqrt(360) + sqrt(360)*1)).\nAnswer: sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*r - 23. Suppose 0 = 5*g - 5*h - 225, r*g + 5*h = 155 + 20. Calculate the smallest common multiple of 50 and g.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -17, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-28)\/26 + ((-5)\/15 - (-110385)\/(-3861))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22318?\nAnswer: 2, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500))**2 - sqrt(10)\/(sqrt(16)\/sqrt(8) + sqrt(2) - sqrt(2)))*5.\nAnswer: -205*sqrt(5) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115\/428 + -2\/107. Let a = 13 + -9. Let j = 1.81 + -1.77. What is the closest to j in a, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 50 = 5*c, 59*u - 6*c = 56*u - 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*q = -6*q + 120, -q + 70 = 3*l. Solve -4*d - i + 2*i - 5 = 0, 5*i - l = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p*v**2 + 4*p - 8306*v**5 - 38*v - 4 wrt v?\nAnswer: -20*p - 166120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -0*c + c + 6, -3*k - 4*c - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 134 + 116 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 1266*c - 3825.\nAnswer: 3*(c - 425)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 28 - (-51 + 62) - (-2 - -104)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*g**2 + 4*g**4 - 387 - 197*g**2 + 3723*g - 3721*g wrt g.\nAnswer: 48*g**2 - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.447*0.28.\nAnswer: -8.24516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -125372 (base 15) to base 7\nAnswer: -10315406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217553.\nAnswer: 7, 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajaj when four letters picked without replacement from jjaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 3*b**2 + 4*b**2)*(-3*b + 2*b + 2*b)*(1 - 4 - 1) to t + u*b + x*b**2 + l*b**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.8. Let p = -0.2 - k. Suppose 2*x - 4 = 0, 0 = -5*l + x + 3*x - 63. Which is the second smallest value? (a) l (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-6 + sqrt(117))\/(2*2*sqrt(9)).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-60) + 66808\/210. What is the highest common factor of r and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3398 - 3397.95. Which is greater: -159 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34638.22119 - 34639. Let c = 0.78 + n. What is c rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 22 = -3*c, 5*q + 4*c - 5*c = 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*r - 8533*j*x - 402450319*r*x + x - 3373 wrt r.\nAnswer: -2*j - 402450319*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-258 - -250) + 0 + -26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lik when three letters picked without replacement from ikwwwmmlmwwwwwwlww.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1590, -7, 3 in decreasing order.\nAnswer: 1590, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 77 = -60. Let l = c + 141. Let -5*j**2 + 11*j**3 + j**3 + 201*j**5 - 197*j**5 + j**2 - 12*j**l = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27668 and -21.335.\nAnswer: 590296.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5539 - 5538.95. What is the second smallest value in 0, -0.3, 4, -3\/5, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 559, 737, 1037, 1465, 2027?\n\"Answer: j**3 + 55*j**2 + 6*j + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 + 5*h + 6. Let c be d(-4). Let i be c*(2 + -3) - -5. Let u = 7 + i. Solve 3*l - 4*o + 0*o - u = 0, -3*o = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*z + 215*z**2 - 156*z**3 + 44*z**2 + 18*z**4 - 43*z**2 - 34*z**4 = 0. Calculate z.\nAnswer: -11, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 2*m**2 + 0*m**4 + 0*m + 19\/120*m**6 - 10\/3*m**3 + 0*m**5 + 0. Differentiate n(p) wrt p.\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - 0.67. Let y = -0.23 + a. Let i = y - 0.8. Sort -0.3, i, 0.4.\nAnswer: i, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1551 to two decimal places.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -177, -1\/8, -0.5 in increasing order.\nAnswer: -177, -0.5, -0.4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -3*z - 44. What is the lowest common multiple of (-3)\/(0 - (-12)\/z) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -193857061, -193857058, -193857055, -193857052, -193857049?\n\"Answer: 3*x - 193857064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 7200 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3364*w - 1. Let s(f) be the third derivative of -f**4\/24 - 1442*f**2. Calculate s(y(u)).\nAnswer: 3364*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-1*18\/12). Suppose -3 = -5*w + 12. Put w, k, 1 in decreasing order.\nAnswer: k, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6974, 6985, 7004, 7031, 7066, 7109, 7160?\nAnswer: 7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16 - 29 - 2*s**4 + 45*s**3 - 280*s**2 + 13 - s**4 wrt s.\nAnswer: -72*s + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:18 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 6*s**2 + 63. Let v be p(0). What is the highest common divisor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o - 46. Suppose 0 = -o*g + 15*g - 5. Let r(a) = -a**3 + 7*a**2 - 8*a. Let q be r(g). Solve -j = j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let m be 2\/(-4)*-4 - -3. Let g(h) = 0 + 0 - m*h. Let r(d) = g(d) + 4*l(d). Let y(p) = 11*p**2. Calculate r(y(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by 3?\nAnswer: -214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77102, -154272, -231442, -308612, -385782?\nAnswer: -462952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 + 2*j + 7. Give p(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16820910.31000565 + 16820912. Let l = g + -1.69. What is l rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 110.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 697 - 2350 = 0. Is -1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -412.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1957, -7906, -17847, -31780?\n\"Answer: -1996*o**2 + 39*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 93*b - 809. Let l(j) = -37*j + 405. Let p(a) = 5*l(a) + 2*o(a). Let i(f) = -4*f**2. Calculate i(p(s)).\nAnswer: -4*s**2 - 3256*s - 662596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 times -2?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*z - 3011 + 793 = 0, d - 2*z = 446. Let f = d + -444. Solve 0*w - 3*w = -3*r - 21, 2*w - 4*r - 18 = f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/12 (b) -1\/2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, 310?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 705\/(-75))\/(2 + -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*b = -13, 6951*s - 6948*s - 2*b + 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 8, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + 5*s + 1. Let w be o(-3). Solve -7*i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 93 = 2*y, -23 = m - 4*y - 0*y. Let v be (-34962)\/m - 10\/95. Round v to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*u + 3848 + 14150 = 1338 for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -37. Suppose -v = -4*r, 69 = 5*p + r - 61. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s**2 + 32*s**2 + 95*s**2 + 4*s**2)*(12*s + 8*s + 2*s).\nAnswer: 3212*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) - 68\/(-16). Suppose -w*j + 178 = -2*h - 824, -4*j + 3*h = -997. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352244200 rounded to the nearest one million?\nAnswer: -1352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.742721084 less than -3?\nAnswer: -74.742721084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*(0 + -3))\/2. Suppose -12 = 4*t - 3*c, 5 = -4*t - z*c - 7. Let x be (5 - -1)*(-80)\/t. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*w**2 - 30*d**3 + 29*d*w**3 - 2*d - 25905*w**3 - 1100*w + 82 wrt w?\nAnswer: 6*d**3 + 174*d*w - 155430*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 2*x**2 - 3. Let j be u(3). What is the common denominator of (35\/(-21) - (-244)\/(-336)) + j and 73\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -1. Let a = 5 - j. Which is smaller: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z - 2. Suppose 0 = -2*j - 3*g + 13, 4*g = -0*j + 3*j + 6. Let n be l(j). Let u = 0.07 - -0.03. What is the smallest value in u, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20*i**2 - 142*i - 297. Give k(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19)\/(-38) - (-50)\/(-6) and 53\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63070 = -43*t + 67026 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6*q**2)*(0 - 7 + 0 + 22*q**2).\nAnswer: -132*q**4 + 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700)*2)**2 + 1.\nAnswer: 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6 + 10*j - 3 - 3*j. What is x(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-272)\/(-20) - 6\/(-15). Let h be g\/8*21\/49. Let i(j) = -j - 11. Let x be i(-10). Which is the third smallest value? (a) h (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uscpffcfff. What is prob of sequence uc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12 - 108. Let n = -12 - o. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, -0.2, -124.68, 2 in decreasing order.\nAnswer: 2, -0.2, -2\/7, -5, -124.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -62457, -2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2614, 2698, 2800, 2932, 3106?\n\"Answer: 2*o**3 - 3*o**2 + 79*o + 2536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnn when four letters picked without replacement from nnnnnnnfnnf.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 98848265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*j + 9, 0 = -156*j + 150*j + i + 20. Factor 0 - 12\/5*h - 3*h**2 - 3\/5*h**j.\nAnswer: -3*h*(h + 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*a - 5, 357*d + 9 = 353*d + 5*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 53*f - 58*f - 345 = -9739 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*s + o + 18, -o = -3*s - 17. Let n be (20 - s) + (-3)\/3. Suppose n + 105 = 3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151516213 + 16?\nAnswer: 151516232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -59.3. What is the closest to 0.1 in r, 3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*o + 164. Let t = -1501 + 4463\/3. What is the common denominator of t and o\/54 - 3\/(-1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154391, 308602, 462813, 617024?\nAnswer: 771235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -68*h + 13 - 30 + 21 + 70*h - 12*h**2. Let k(r) = 13*r**2 - 3*r - 5. Calculate 3*a(c) + 2*k(c).\nAnswer: -10*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 6 + 21*2\/3*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8175.9?\nAnswer: -8177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k**2 - 1. Let u(t) = 67983*t. Determine u(n(j)).\nAnswer: -1155711*j**2 - 67983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 61\/2 - (-6)\/12. Suppose -21 = -3*h + 3*o, 5*h = o + l - 12. Suppose -7 = -2*j - h. Solve -n - 3*z = -8, j*n - 2*z - 7 = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 93986 - 95920 = 180364. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -30.3. Which is the second smallest value? (a) -2\/3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.1, -0.2, -22, -0.49, 2\/135?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 702*b*z**4 + 4*b*z**2 - 31*b*z - 539002*b wrt z.\nAnswer: 2808*b*z**3 + 8*b*z - 31*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 255 = 46*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2\/(-4))*6. Let p(t) = t**2 + 6*t + 3. Let r be p(-5). Let d(h) = 2*h**2 - 19*h - 61. Let y be d(12). Sort y, r, n.\nAnswer: r, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*u = 1 - 17, 3*u = 3*c + 9. Let z(t) = -t**3 + 13*t**2 + 2*t - 1. Let f be z(13). Let j(m) = m**3 + 49*m - m**2 - f*m - 26*m. Determine j(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -266482225.\nAnswer: 2\/266482225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -863943\/316 + 2734. Let r = w - -7801\/31284. Find the common denominator of r and 8\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 1. Let s(h) = -4*h**2 - 1. Let r = 53 - 58. Let u(l) = r*t(l) - 6*s(l). Factor u(a).\nAnswer: -(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (3 + -1 - 9). Suppose -p*c + 0*f + 3*f + 460 = 0, c + 3*f - 92 = 0. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from foggngfgfgggoggogfgg?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248 is divided by 93?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4904\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*o**3 - 14526 - 654*o**3 + 14526.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 + 121*j**2\/2 + 970*j - 13266.\nAnswer: -(j - 134)*(j - 9)*(j + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.182 in -2\/5, 4\/5, -6\/7, 0.05, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u**2 + 21*u**2 + 26*u**2 + 31*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 708\/(-354)*-2*152\/(-32)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (2 - -67))*-449. Suppose k = q + 2475. Suppose -3*t = -2*r + q, r - 1140 = -4*t - 37936. Round t to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 9. Determine t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osso when four letters picked without replacement from {w: 1, o: 2, z: 4, s: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19525871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 5, 1.43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108 - 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -519530 divided by 55\nAnswer: -9446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f - 11. Give v(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1\/2. Let a = 2.04 - 0.04. What is the smallest value in -4, z, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6387, -12792, -19209, -25638, -32079, -38532?\nAnswer: -44997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 18*j**2 + 154*j - 2845. Let a be c(13). Find k such that -27\/5*k + 3\/5*k**4 + 0 - 21\/5*k**3 + 9*k**a = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42145.22 grams?\nAnswer: 42145220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n - 10. Let i(v) = 9*v + 8. Let k(j) = -5*i(j) - 4*p(j). Let h(q) = 672*q**2. Give h(k(m)).\nAnswer: 672*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5515 - 686. Calculate the remainder when y is divided by 1606.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.048, 1, -4.7765?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1884 times 0.0200287?\nAnswer: 0.00377340708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 6, 3, -123.\nAnswer: -123, -5, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1102993 + -6?\nAnswer: -1102999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 162 - 162.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-75)*60\/(-100)*135\/(-18).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173988 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-5)*1)\/((-69)\/345). Suppose 0*p + 4*p = 3*o + 8, -3*o - 13 = -5*p. Sort -1, 1, p, q in decreasing order.\nAnswer: p, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2 - 329*p\/4 + 897\/2 = 0.\nAnswer: -46, 39\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5285, -11021, -17227, -23903, -31049, -38665, -46751?\nAnswer: -55307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 172*a**3 + a**2 - 2064*a**3 - 26*a + 5*a.\nAnswer: -1892*a**3 + a**2 - 21*a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p - 3. Suppose -l = -3, -l = p*v + 3*l. Let s(m) be the third derivative of m**4\/24 + 3*m**3\/2 + 14*m**2. Determine s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6337089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4332131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/39701?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(30) - (2*sqrt(480) - sqrt(30)))\/(sqrt(250)*-2) + ((2 + sqrt(108)*1 - sqrt(108))*-2*-6)**2.\nAnswer: -6*sqrt(3)\/5 + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -1, 32.6, -12, 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12271, 24624, 37013, 49456, 61971, 74576?\nAnswer: 87289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2\/47)*t**(-2\/7))**(-7\/4) assuming t is positive.\nAnswer: t**(-289\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -623 - -622.99359. What is i rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 10 - (-128)\/6. Is 19 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/36)\/(1150\/42780).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 241.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174550531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let f(g) = -28*g. What is o(f(m))?\nAnswer: 784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*2*-6)\/(-5*(sqrt(1008) + sqrt(1008) + (sqrt(1008) + sqrt(1008) + sqrt(1008) + -1*sqrt(1008) - sqrt(1008)) + sqrt(1008)) - sqrt(1008)).\nAnswer: -2*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15) + -1 - 34\/(-40). Let x be (-6)\/14 + 0\/5. What is the closest to 2\/5 in x, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80146*v = 79343*v - 52998 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n. Let x(v) = -2*v + 1098121. Calculate k(x(y)).\nAnswer: -14*y + 7686847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 389\/57276?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 42, -5, -2 in decreasing order.\nAnswer: 42, 6, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171163839 is divided by 787.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by 15.\nAnswer: 187\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 1*(-3 + 2). Let s(d) = 15*d - 1. Let g be s(z). Suppose 0 = -0*j + j + 3*r - g, -j = 5*r - 22. Solve a - u = -1, 7*a - 3*a + 2 = j*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 + l)*(-1 - 3 + 6) + (-2*l + 4*l + 0*l)*(-2 - 1 + 6))*(39*l - 143*l - 18*l) to q + z*l + g*l**2 and give g.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -12. Let s = 0 + 0. Suppose 3*t + 3*g = s, 5*t - 3*g = -0*g + 40. What is the lowest common multiple of q and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 307 - 3*h + 307.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42800 divided by -8560.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101533 - 0.3\nAnswer: -101533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(78) + (sqrt(78) - (sqrt(78) - -1*sqrt(78))*-4) - sqrt(78))\/(5*sqrt(12)\/sqrt(2)).\nAnswer: -1 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2870*h + 2870*h + 113*h**2.\nAnswer: 113*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is bc3 (base 13) in base 2?\nAnswer: 11111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991 = -81*j - 29*j + 111 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (-22088)\/(-880) + -78.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 30 = 18. Suppose 0 = -y + 8*y - 14. Suppose -m = y*g - 6*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(2015\/4505) - (-10)\/155 - -7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -1 - ((82 - -32 - 5) + -24)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343943 divided by 315.\nAnswer: -343943\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5)*-30*(-8)\/192. Solve 1 - 1\/2*q - z*q**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3192.229 + 4258.633. Let o = b - 7423.561847. Let y = o - 27.3. What is y rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1225 and 38325?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 41*l**3 - 49*l**2 + 151*l + 5. Calculate the lowest common multiple of t(3) and 281.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (10 + -6 - -2)) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 20206756*r = 0. Calculate r.\nAnswer: 0, 5051689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 9405691?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 6*g + 3. Let s(h) = -h**2 - 7*h - 11. Let o be s(-6). Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2665657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -67555.4599 to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 11, c: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103435*n + 103150*n - 18240 = 0 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8428\/175)\/(-2) + (-76)\/(-950))*38\/(-8)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -21. Let t = -4 + 1. What is the smallest value in 0, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1408659 < -1408660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imfffiyidpii. Give prob of sequence fd.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1 = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(11))*-4 + sqrt(1331)*-2*3)**2.\nAnswer: 3744*sqrt(11) + 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 13. Let u be n(6). Let x(c) = -c**2 + 7*c + 8. Let q be x(u). What is the highest common factor of 88 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 2*b, -1 = 4*p - 3*b - 3. Suppose 2*o = -p*a + 2, 4*a + 3*o = -a - 5. What are the prime factors of (-13)\/2*8\/a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14591 (b) 42\/19 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = -2*n + 3*w, -2*w + 10 = 0. Let x be (-10 - (2 - 11)) + 1*28. Let q = n + x. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - 0 - (-3724 - -3897)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 1\/4*n**4 - n**2 + 0 - 1\/2*n**3 - 1\/20*n**5 + 2*n. Let p(m) be the first derivative of t(m). Factor p(w).\nAnswer: -3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j - 20. Let q be 3*(j + -8 - -5). Suppose -5*k + 69 = 2*t, -q*k + 2*k = -t - 18. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 74\/37802781?\nAnswer: 74\/37802781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - -23. Let z = l + -43. What is the highest common divisor of 171 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 14*z + 15*z + 7*z + 8*z - 42*z.\nAnswer: 2*z + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 23*q - 2. Let v(h) = 3*h**2 + 45*h + 5. Calculate 5*o(s) + 3*v(s).\nAnswer: -s**2 + 20*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 23.5. Let i be (4\/(-6))\/((-6)\/9). Let c be 2\/i + (-8 - -2). What is the nearest to -0.1 in x, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 1 + 1)*(3*v**2 - 3*v**2 - 3*v**2).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 8. Let g be o(-6). Suppose -161 - 169 = -3*k + g*n, 2*n - 524 = -5*k. Suppose 3*a - k = -5*c, -2*a - 4*c + 84 = 10. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2905*b - 2912*b + 13706 = 0. What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8955864*l - 31*l**3 + 3 - 8955873*l + 2*l**3 in the form r + j*l**3 + u*l**2 + v*l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -39, -84, -147?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 2, 35, 0, 1 in descending order.\nAnswer: 242, 35, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 + (1 - 3 + 1)*(3 - 5 + 1) + 1 - 2 - 3)*(0 + 3 - 1)*(-4 - 1 + 4)*(4 + 0 + 1)*(2*m + 4 - 4).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -29*s - 14. Let d be l(-7). Let f be (-2)\/5 + d\/35. Suppose -2*w - 69 = -f*w. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4*z - 334649*s**3 - 5*s**2 + 16*s*z + 273*s wrt s?\nAnswer: -48*s*z - 2007894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 + 3. Let b be y(-4). Suppose -7 - 5 = b*h. What is the second biggest value in 2, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 5.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4\/3, 0.33, 5, -0.3 in descending order.\nAnswer: 5, 3, 0.33, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-11 - -20) - -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2312 is divided by 324.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.986 - -0.014. Let y = b + -29.00142. Round y to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 0.3, -0.1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119670 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: Collect the terms in -398*d**3 - 93*d**2 + 4 - 4 + 93*d**2.\nAnswer: -398*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**7\/525 - 67*h**6\/50 + 39589*h**5\/150 + 13601*h**4\/5 + 164836*h**3\/15 + 10*h**2 - 41. Factor f(m).\nAnswer: 2*(m - 203)**2*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f - 0. Let p be 81\/f - 1\/(-4). Is 453\/p + 6\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.225473 from -184303007.\nAnswer: -184303006.774527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*58355.\nAnswer: 10620610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 + 4*t + 1. Determine r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 23. Let c = k - -46. Solve -n - 2*m + c = 0, 0*n + 17 = -5*n + 3*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1100))**2*-6.\nAnswer: -6654 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 7*j + 2. Let m be c(7). Let d = 4 + m. Suppose 5*h - 53 = -b, h - 2*b + 2 = d. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 273 + 7 = 0. Suppose -g = -3*o - 4*o. Solve -o = 6*c - 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -21. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*-2*((-105)\/(-112))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 89 + 234. Let t = r - -33. Let b be (t\/(-8) + 1)\/((-1)\/(-6)). Solve -2*s - 10 = b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4776*w**2 + 2330*w**2 - 7*w + 2347*w**2 in the form v*w**2 + t*w + d and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkkk. What is prob of picking 3 k and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 0.17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -378 + 376 + 3*k**2 - k**2. Let d(b) = 18*b + 1. Let c be d(-1). Let o = 15 + c. Determine z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 27 - 2 = 0, 4*q - 144 = 4*s. Put -5, -4, -2, q, -1 in increasing order.\nAnswer: -5, -4, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(12)\/sqrt(4)) + (sqrt(76)\/sqrt(4) + -4)**2.\nAnswer: -7*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069*v = -4*z + 1066*v + 39, 0 = -5*z + 2*v - 3. What is the closest to z in 3\/19, 0.6, 0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -222. Let o be (-1 - (-1)\/(-1))*1. Is 1\/(o + l\/(-79)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:22 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 - 5 + 2 - 3 + (-2 - 2 + 2)*(1 - 1 - 2) + 1 + 4 - 3)*(-6 - 3 + 3)*(-d**2 - 3*d**2 + d**2).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 1201974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/13)\/(1 + 5). Let l = -0.17 + 1.07. Let t = l + -5.9. Sort t, q, 4 in increasing order.\nAnswer: t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194)\/388*4\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*b - 29*b = -156*b - 37062 for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3392 = -352481*k + 352534*k for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -79*y. Let v(n) = -4*n. Calculate v(t(s)).\nAnswer: 316*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9029 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 9. Let s(v) = 11*v - 10. Let b(a) = 6*c(a) - 5*s(a). Let w(o) = -88*o + 166*o - 77*o. What is b(w(z))?\nAnswer: 17*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2. Let g(u) = -14*u**2. Let v(s) = -3*g(s) - 8*q(s). Let p(h) = 38*h**2. Give p(v(n)).\nAnswer: 152*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (350\/(-4))\/((-95)\/38)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801023 is divided by 441?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -9.92. Let h = 6 + b. Suppose 0*c = 3*f + 2*c + 3, 4*f - 2*c + 18 = 0. Sort 0, h, f.\nAnswer: h, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1329*u + 8447*u + 3903*u + 4 - 4 - 2*u + (-2 + u + 2)*(-3 + 2 + 2) + 0*u + u + 0*u + 2*u + 4 - 4.\nAnswer: 11023*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**2\/11 + 948*y - 68131434\/11 = 0. Calculate y.\nAnswer: -4349, 2611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8 + 7821\/(-36). Let g be (o\/(-14) + -1)\/((-30)\/(-40)). Let d = 1210\/63 - g. Are 12 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 + -120. Let t(d) = 23*d - 138. Let j be t(7). What is the greatest common factor of x and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -84. Let r(v) be the third derivative of 1\/16*v**4 - 1\/40*v**5 + 1\/4*v**3 - 1\/80*v**6 + d - 4*v**2 + 0*v. Factor r(u).\nAnswer: -3*(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018346 to five decimal places.\nAnswer: -0.01835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*c = 8, -6*c + 2*c + 24 = 2*i. What is the smallest common multiple of i and (2\/1)\/((-2)\/(-14))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 12:54 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78386, -157217, -236048, -314879, -393710?\n\"Answer: -78831*z + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02568531 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*(j - 4*j + 0*j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 22133\/3, 2\/813, 4?\nAnswer: 2\/813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-2\/5))*n)**23\/(n**(3\/2)*n**(2\/3)) assuming n is positive.\nAnswer: n**(1039\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.64 + -225156.\nAnswer: -225159.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/26, -53, -1\/4 in ascending order.\nAnswer: -53, -1\/4, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1584) + -1)*3 + -1*(1 + sqrt(1584)))*1)**2*5*3.\nAnswer: -720*sqrt(11) + 95055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/91 and 73\/1014.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjxj when four letters picked without replacement from bbxxxjwjbbv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2269527.7 to the nearest 1000.\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-963)\/34650*5 - (-2)\/11. What is the second smallest value in -1\/2, 3, q, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -93. Factor 112*p + 160*p**3 + 128*p - 205*p**2 - 75*p**2 - 45*p**k + 5*p**5 - 80.\nAnswer: 5*(p - 2)**4*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (10\/55 - 1908\/(-33)). Let i = -5 - u. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smss when four letters picked without replacement from {m: 13, s: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 6. Let u be h(0). Let n be 35\/10*u\/(-56). Let f = 29\/15 - 8\/5. Put f, n, -3\/4 in increasing order.\nAnswer: -3\/4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.44. Let g = n + -0.24. Let d = 0.1 - g. What is the second biggest value in d, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 2578.9?\nAnswer: 2564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.79999847 + -6.8. Round a to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**6\/2 + 6*v**5\/5 - 3*v**4\/2 - 4*v**3 + 3*v**2\/2 + 6*v - 8. Find t, given that h(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 - h. Let m be r(-5). Let t(v) = -2 - 6*v**2 + 10*v**2 + 2*v - m*v**3 + 6*v**3. Determine t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9932159.\nAnswer: 23, 431833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 5, m: 13, j: 1}. Give prob of sequence jf.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.585734 centimeters to millimeters.\nAnswer: 75.85734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**10))\/t)\/t**(1\/5))**(36\/5) assuming t is positive.\nAnswer: t**(-2016\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/(6\/12). Let s(n) = n - n + f*n. Let k(x) = 4*x**2. Calculate k(s(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.204543 hours?\nAnswer: 0.758522625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2746512 * 79\nAnswer: -21.6974448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48731840 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293994?\nAnswer: 2, 3, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**6 + 18*z**5 - 432*z**2 wrt z.\nAnswer: -240*z**3 + 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1701080.892s to weeks.\nAnswer: 2.81263375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 3*p**5\/10 + 5*p**4\/24 + p**3\/2 + 11*p**2. What is the units digit of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z**2 - 3*z**2)*(106 + 46*z - 106)*(-3 - 4 + 33 + (3 - 2 - 3)*(0 - 2 + 1) - 2 + 2 - 1).\nAnswer: -2484*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:00 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*k - 1)*(0*k**2 + k**2 - 5*k**2) + 1987*k**3 - 90609 + 90609.\nAnswer: 1995*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Let v(m) = -22 + 0*m + 19 - m. What is v(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 3668*d**2 - 1714304*d - 29680704.\nAnswer: -2*(d + 18)*(d + 908)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(4\/9)*n**33*n*n*n assuming n is positive.\nAnswer: n**(329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20984288 and 2860.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366798*n**3 - 1366783*n**3 + n**2 - n**2.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*i - 1 + 4 = 0, 5*i - 12 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.23 in -4\/9, 5\/3, 5, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 40*l + 133. Calculate s(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let f be 1*(-22)\/33 - (-4)\/15. Let o be 10\/(-12) + (-2)\/(-12). Which is the closest to u? (a) o (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25197651307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139745.\nAnswer: 5, 19, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3369607l in millilitres?\nAnswer: 336.9607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73013 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 475327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r - 22. Let o = r + 409. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(2 + -6)*16\/(-8). Let x be (5 - 3)*-5 - 24\/z. Let f(t) = 2*t + 1. Let g(k) = -k. Give x*g(m) - f(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -46. Which is the nearest to 0.1? (a) w (b) 14 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 0.125?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 744 = -744. Solve -5*c + 3 + 12 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*t + 85, 4*t - 82 = 3*c + 3*t. Suppose -43*o - 432 = -49*o. Let r = o - c. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, 6 = i + t - 2*t. Let y = -22 - -210. Suppose -i*z + 0*z = -4*d + y, 0 = 2*d - 3*z - 96. Find the common denominator of d and -91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1954? (a) 0.36 (b) -0.5 (c) 1\/32 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395066 is divided by 331?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-5))\/(-14))\/(2\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 99711 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 890*c + 444.\nAnswer: 2*(c - 222)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 19. Let n be a(-12). Solve d + 0 = -n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x**6 + 5*x**2 + 0*x**5 + 0*x**3 + 0 - 88*x + 1\/3*x**4. What is the third derivative of b(l) wrt l?\nAnswer: -2160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 503, 844, 1185?\n\"Answer: 341*b + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 2. Let q be u(4). Suppose 0 = 5*y - 3*y - 4. Factor -5*i**y - 24*i**q - 4*i**2 + 10*i**3 + i**2 + 8*i + 14*i**4.\nAnswer: 2*i*(i - 1)*(i + 2)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/9)\/w*w\/(w**22\/w))**(3\/7) assuming w is positive.\nAnswer: w**(-181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a factor of 64404535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -59*f**2 - f. Give z(1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jmwmmwmw.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194314548293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*d - 8*d**2 + 1691*d - 473*d - 476*d - 276*d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 3, i: 6, h: 3, m: 1}. What is prob of sequence emv?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*28\/(-10). Let k = 35 - w. Suppose 0 = 3*b - 71 - k. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {h: 2, j: 2, u: 6, p: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -72.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 173a4 - 696?\nAnswer: 16809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-15 - (-4 - 8))*4*6\/8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*w - 44915 = -w, 4*f - w = 59874. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/667 greater than or equal to 1269\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 40. Let d be c(17). Let p be (-351)\/(-1144) + 2\/d. Factor -3\/8 + 1\/4*x**3 - 1\/2*x + p*x**2.\nAnswer: (x + 1)**2*(2*x - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -4*n + 19, 0 = 2*l + 2*n - 6. Suppose 0 = 5*h + 4*o - 26, h - 2*h + 22 = l*o. Calculate the remainder when 3 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -483 <= -478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/3)\/5)\/(2\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 22*h**3 - 12*h**3 - 46*h**3.\nAnswer: -73*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0 + (-6)\/(-9) + ((-122)\/(-6) - 5) and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6015.07 centuries to decades.\nAnswer: 60150.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10056450\/240 + (-6)\/(-48) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 12 = 0. Let a(w) = -6*w + 31. Let q be a(i). Sort q, 0, -2\/9, -0.3 in decreasing order.\nAnswer: 0, -2\/9, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:36 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 58735 - 29265. Suppose j - h = -j. What is j rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 34.5?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503717584?\nAnswer: 2, 31482349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*c + 4, 14 = -5*c - 6. Suppose 2*b = 2*j - 4*j + 22, -2*j - 3*b = -20. What is the remainder when n is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6121607 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18128 and 110?\nAnswer: 90640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 + -0.508. Let f = -0.03800012 - k. What is f rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z + 12*z - 249*z - 2*z + 23*z + 363*z.\nAnswer: 93*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-195) + 618\/(-285) + (7 - 5). What is the closest to v in -2\/17, -0.3, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 360953610*o + 6514375428601605.\nAnswer: 5*(o - 36095361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v + 81*v - 33*v - 152*v.\nAnswer: -203*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 19*o - 3. Let c(i) = i**2 - 20*i + 4. Give 4*c(z) + 5*m(z).\nAnswer: -z**2 + 15*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 19*b - 4*j - 87 = 0, 3*b = 4*j - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*r + 0 - 1\/5*r**3 - 12\/5*r**2.\nAnswer: -r*(r - 2)*(r + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2550 = -n + 2*n. What is n rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-7)*n*n**(-3\/2)*n**(-1\/6)*n)**7 assuming n is positive.\nAnswer: n**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t = 63*t + 141*t - 1408 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-4)\/(-4))\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-90)*103005\/5886?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -790.931 take away -3?\nAnswer: -787.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1268987 and 1411.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 0 (c) 20 (d) -22748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(16\/(-5)*(-370)\/296)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1691856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*-3 - 0. Suppose -5*b = 9 + i. Let x(g) = -13*g + 1. Calculate the remainder when x(b) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446 (base 13) to base 11\nAnswer: -608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 + 263*o\/3 - 88 = 0. Calculate o.\nAnswer: -264, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54568 (base 10) to base 12\nAnswer: -276b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2535\/(-7098)*21\/(-30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5759859?\nAnswer: 3, 7, 157, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*f - 3*a, -5*f + 2 = 4*a - 9. Let r(j) = 2*j - 3. Calculate r(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9606?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217271931?\nAnswer: 3, 971, 74587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 7*j**2 - 638*j + 6759. Calculate g(22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*a**3 + 2 - 1618*a**3 - 2 + a.\nAnswer: -2722*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 97773138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (-13 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 1. What is the remainder when p(-36) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.3. Let m = -0.51 + -0.29. Let n = m - -0.3. Which is the nearest to -2\/3? (a) 1\/7 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Which is greater: 4\/15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 1, b: 4, e: 1, l: 6}. Give prob of picking 2 b and 1 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 651 + -161. Suppose 11*f - 1116 - l = 0. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - 7*p**2 + 4493*p - 6. Let v(f) = -6*f**3 - 8*f**2 + 4494*f - 7. Calculate -6*v(g) + 7*y(g).\nAnswer: g**3 - g**2 + 4487*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)\/(2*sqrt(2)))**2*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.096 - 283.404. Let h = 284.436032 + v. Let n = -0.064 - h. What is n rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 88 = 4*l + 25*l. What is the closest to -0.06 in 6, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sztjsgxtzssx. What is prob of picking 1 g and 1 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.74 - -2.86. Let d be 3\/(12\/(-8)) + 4. Which is the second biggest value? (a) z (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 64*b**2 + 3. Let u(s) = 0 + 2933*s + 2 - 2 - 2931*s. What is u(x(k))?\nAnswer: 128*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/13 + 24*x**2\/13 - 34*x\/13 - 60\/13 = 0.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*t = 15 + 2, -3*y - 4*t + 41 = 0. Let z = 34 - y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((500\/8)\/25)\/((-2)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 335025.2 nanometers in micrometers?\nAnswer: 335.0252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1442332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.4 - 7.90457462959.\nAnswer: -53.30457462959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -7*k + 88, -71 = 5*w + 275*k - 274*k for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4, f: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2. Let q(n) be the first derivative of -n**2 - 15*n + 1. Let i be q(-10). Determine o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from {g: 4, w: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 42862.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 4*h + 4. Let v(n) = -n**2 - n + 1. What is 14*v(q) - 4*y(q)?\nAnswer: -6*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-3)*y)\/y)\/y*y**(1\/4)*y*y**7\/((y\/(y*y\/(y*y**(-2\/5))))\/y*y))\/(((y\/y**(-1))\/y)**36*(y*y**4*y)\/y**(-5\/6)) assuming y is positive.\nAnswer: y**(-2231\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 24 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 147*g - 4196. Determine t(173).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzyv when four letters picked without replacement from {p: 9, v: 3, z: 2, y: 4, i: 1}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*3*100\/(-650).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/140 - 9*u**4\/56 - 18*u**3\/7 + 214*u**2. Factor n(l).\nAnswer: 3*(l - 12)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265001 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -b5a379?\nAnswer: -b5a372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5 - 4*r**2 - 20*r + 20*r. Let v(x) = -x**2 + x - 1. Let u(y) = -5*y**2 + 4*y - 5. Let h(f) = u(f) - 4*v(f). Give 5*h(o) - m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58888 - 3?\nAnswer: 58885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**9*h*h*h*h*h**7*(h**3)**5 assuming h is positive.\nAnswer: h**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.31226 and 54048.\nAnswer: 54047.68774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/24 + 2*z**2. Let w(r) = -15*r + 20. Let p(s) = s - 1. Let c(a) = -20*p(a) - w(a). Calculate t(c(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156162 is divided by 8472.\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1922, 5, 4 in descending order.\nAnswer: 5, 4, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 6) in base 15?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 + 11. Let l be f(-4). Let j = l - 98. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 3*i + 3*i**2 - 4*i + 0*i. Let o(b) = -b + 3. Let q be o(-3). Let j be ((-1)\/(-3))\/((-2)\/q). Give c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5*w + 1249*r**4*w**3 - 171*r**2*w - 3*r*w**3 wrt r?\nAnswer: 120*r**2*w + 29976*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i + 83*i - 75*i = 8156038. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.04 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2, -14, 1 in descending order.\nAnswer: 4, 2, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 29 = -5*g, 12 = 3*q - 5*g - 19. Calculate the remainder when 12680 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00133841 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -22\/4471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8 - -22) + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 648946028.\nAnswer: 648946018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*y - 294*y = 17*j + 98, -4*y + 103 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-9) + -3 + 62\/117\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -814*q + 63*q - 12 + 22 - 11 as k*q + l and give k.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -47706*r - 4293539. Determine a(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29 - -1 - (-3 - (-2 - -4)). Suppose -1863 = -v*r + 8*r. What is the highest common factor of r and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56707381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 305347?\nAnswer: -305346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 67*s - 3.\nAnswer: 67*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34679 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 6. Let c(y) = 3*y - 17. Let n(o) = 6*c(o) + 17*i(o). Let d(x) = 0*x**2 - 4*x**2 - 22*x**2 - 2*x**2. Calculate d(n(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.003056949 + -0.396943271. Let y = 0.8 - 1.2. Let l = t - y. What is l rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2876812, 2876825, 2876842, 2876863?\nAnswer: 2876888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -21. Let c(m) = -m**2 - 8*m + 13. List the prime factors of c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -48*k - 206. Let q be d(-6). Suppose q*x = 409 - 81. Let f(p) = -8*p**3 + p**2 + 2*p + 1. Let h be f(-1). Solve 0*n = x*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 724*u - 126741. Determine l(175).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 53. Let i(k) = -2*k**2 - 20*k + 24. Let l(c) = c**2 + 19*c - 23. Let g(x) = t*l(x) - 2*i(x). Let z be g(17). Solve -4*m + z = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 12. Determine t(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 - 16*s + 6. Let k be r(8). Is 195\/(-2)*k\/(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(-63) - (-3048)\/2286.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212 divided by 62.\nAnswer: -606\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 2, z: 2, v: 1, a: 1}. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3\/6 + 9*n**2\/2 + 11*n. Let g be h(5). Solve -20 = g*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14752)\/1844*(-108)\/16?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*t**2 + 1408*t + 299663 with respect to t.\nAnswer: 20*t + 1408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + 4.3. Let p = -2 + 6. Which is the second biggest value? (a) p (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43584531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*z = 3, -80 = -2*f + 6*f - z. Let t(b) = b**2 + 19*b - 28. Give t(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.044337mg to nanograms.\nAnswer: 4044337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c + 2. Let i be l(0). Solve 5*m + 4*h - 9 = 0, m - 10 = i*h + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 + 3*u - 3. Let l(p) = -2*p - 11. Let x be l(-3). Calculate s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r + 60. What is the remainder when 18 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 47*m**4\/6 + 50*m - 30. Let t(s) = 14*s**2 + 3. What is i(t(u))?\nAnswer: 18424*u**4 + 7896*u**2 + 846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 14) to base 10.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/8 (c) -0.3 (d) 1\/42832 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 150 and 0.1154.\nAnswer: 150.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d. Let j be (0 + 11)*(d - -1). Solve 2*s = 5*t - s + j, 4*s = 5*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4475 and 90275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*a - 14. Let c be (1 + 2)\/(a\/9). Suppose -48*j = 3*z - 46*j - 54, 4*j - 18 = -z. Calculate the greatest common factor of z and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 327*r - 2. Let c(j) = -21*j**2 + 1640*j - 12. Give 2*c(b) - 11*z(b).\nAnswer: 2*b**2 - 317*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/11 + (-72)\/(-88). Suppose 0 = -8*g - z + 25. Suppose -g*b - 5*l - 10 = -30, 5*b - 5*l + 20 = 0. Solve -4*s + 3*s - 2 = b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -64 and 11.3782?\nAnswer: 75.3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -4, -2.4, 0.1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4 + 3*h - 1 - 1 - h. Let v be z(-1). Suppose v = o + 3*s - 2, 3*o = 3*s + 6. Which is smaller: o or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3*o*y - 7*j**2*o**3*y - 56*j**2*y - 3*j*o**3*y - 9*j*y + 2*o**2*y - 2*o**2 - 37*y wrt j.\nAnswer: -18*j*o*y - 14*o**3*y - 112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 10*t + 9. Let j be f(6). Let a be j\/6*1758\/(-5). Let v = -628 + a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/13 + 27029\/179 + -158?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(63))**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 - 5*h**5 + 0*h**4 + 46\/3*h**3 + 2 - 20*h. What is the second derivative of i(z) wrt z?\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*y - 268, 271 = 4*h + h + 3*y. Suppose -5*t = -q + h, -5*q + 123 = t - 105. Let o = q - 26. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23554 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*n + 39*n + 172770. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/4 - 4*g**3 - 6*g**2 - 5*g - 1149. What is j(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/5 (b) -13.1 (c) -5\/6 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 91 = -5*n, 6*n + 3814 = -o + 3855 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 7*h**4\/24 + h**2. Let r be (((-6296)\/(-12))\/(6\/9))\/1. Let b(l) = -r*l + 393*l + 390*l. Determine x(b(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:58 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3 - 1386*b**2 + 213003*b - 10890936 = 0.\nAnswer: 147, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34*f + 5. Suppose 0 = u + 5, c - u = -0*c + 9. Suppose w + 3*d + 5 = 18, -3*w = -c*d + 26. What are the prime factors of m(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by -1653.\nAnswer: -193\/1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 at least 646\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -143, -10 in decreasing order.\nAnswer: -10, -54, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 3*v**2 + 3*v**2 + (-2 + 2 - 6*v)*(-v**2 - 8*v - 1 + 8*v).\nAnswer: 5*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 122*l**2 + 1120*l - 29. What is m(112)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 - 6)*(-319 + 319 - 2144*m) to j + x*m and give x.\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -177, -232, -335, -498, -733?\n\"Answer: -2*t**3 - 12*t**2 - 5*t - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -57. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 1\/21*a**4 + 1\/735*a**7 + 1\/21*a**3 + 1\/35*a**5 + 0 + 4*a**2 + 1\/105*a**6 + 0*a. Suppose m(v) = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2354 and 10846.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 + 4*h**2 + (2 - 7 + 1)*(-3*h + 2*h**2 + 3*h))*(-h - 2 + 2).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -28 and 845657 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.6, -5, -0.5 in descending order.\nAnswer: -0.5, -4.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 269 = 113*y. Which is the closest to 1? (a) y (b) -10 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 2, v: 5, b: 3, f: 2}. What is prob of picking 1 f and 1 h?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16419449401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1953*o**5 + 360*o + 2 wrt o.\nAnswer: 39060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3628850, -7257695, -10886540, -14515385, -18144230, -21773075?\nAnswer: -25401920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 = 57*r - 193 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 35 - 98 = -34 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(65) - (sqrt(65) - (5*sqrt(65) + sqrt(65))))*-2)\/sqrt(5) + (sqrt(13) - 2*sqrt(1573)) + -4)*4)**2*-3.\nAnswer: -680304 - 12672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*m**4 - 262889*m**3 - 557249575 with respect to m.\nAnswer: -60*m**3 - 788667*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.89 - -84.11. Let k = 49 - w. Let v = -28 - k. What is the smallest value in -0.3, 2\/9, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 23*a + 5*t + 637420, 2*a - 2*t - 637408 = 0. Round a to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/3 + 7 + (-2)\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 9*z**2 - 19*z - 2. Determine s(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 11 + 15\/4*a + 1\/4*a**2 = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1155 = 2*o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.65595 grams in tonnes?\nAnswer: 0.00000465595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127222 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102102 (base 4) in base 16?\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 5*b + 18, -3*b = 3*j - 48. Let z = 7 + j. Suppose -13*v + z = -12*v. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11746 is divided by 58?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(324))**2 - ((sqrt(28)\/sqrt(4))**2 + -3).\nAnswer: -317\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/((sqrt(12)\/sqrt(2))\/sqrt(3)))\/(-6*sqrt(500)*2))**2.\nAnswer: 7\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.77 + -29.1. Let m = -0.17 + q. Let p = m - -0.5. What is the closest to p in -0.03, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8691 by 2897.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*k = -1 + 7, r + 2 = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1300) + -4*(sqrt(1300) + -1 + sqrt(1300))**2 - sqrt(1300)) + 3.\nAnswer: -20803 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/805526 and 99\/1611052.\nAnswer: 1611052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -0.14406?\nAnswer: -1.85594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022497641 rounded to seven dps?\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 5*h**2)*(-1033 + 565 + 645 + 3*h**2).\nAnswer: -3*h**4 - 177*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/1404*26*(-16)\/4*3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + 10*h**2 - 6. Let k(p) = -p - 8*p - 12*p**3 + 9*p + 20*p**2 - 11. Let r(z) = 11*b(z) - 6*k(z). What is the third derivative of r(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1267 >= -2053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 27084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 791b8 (base 15) in base 11?\nAnswer: 243405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1129, 1125, 1117, 1105?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*5*6 + (4 + -3 + sqrt(147))**2.\nAnswer: 148 + 224*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439.24 + -439. Suppose 4*t = -5*n + 6 + 13, 3*t + 4*n - 15 = 0. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18171 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (-10)\/(-3))*6. Suppose 3*o + 53 = h*q, -q - q = 5*o - 33. What is the least common multiple of q and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*o + 13, 4*x + 21 = -x + 3*o. Let q(j) = -j**2 - 3*j + 3. Determine q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 26 = -3*n - 5, -248*n = 5*b - 263*n - 115 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 2\/9 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/240 and 11\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 32*u + 264. Suppose -75*z + u*z = 260. Solve 2*h - 35 = 5*w, -2*h = -w + h - z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 2180282.\nAnswer: 6540846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/2 - 4*y**3 - 3*y**2\/2 + 11*y + 8.\nAnswer: (y - 8)*(y - 2)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**39*b\/b**31)\/((((b\/b**(-10\/3))\/b)\/b*b)\/b*b**33\/b) assuming b is positive.\nAnswer: b**(-307\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ysyysjjyssyjjyj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1895845 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - d + 5 = -5*m, -2*m = 3*d - 15. Suppose 2*v = -v - z + 94, m = -v - 5*z + 22. Let j be v\/(-80) - ((-342)\/130 + 1). Is j at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + 3. Let d = r - 78. Let g(t) = -t**2 - 14*t + 1. Let n be g(d). What is the highest common divisor of 98 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1969\/12 - 164. Let x(n) be the third derivative of q*n**4 + 0*n + n**2 + 0 + 1\/20*n**5 + 0*n**3. What is the second derivative of x(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3363, -6824, -10511, -14538, -19019, -24068, -29799?\nAnswer: -36326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 6. Suppose 5*d - 173 = -h*x, 5*x - 282 - 198 = -3*d. What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803 - 1 - (-6 - (-9 + -1))?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14421451 to the nearest 100000.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*d + 142*d + 13*d**5 - 13 - 10*d**5 + 13 + (0*d + 0*d - 2*d**3)*(d**2 + 4*d - 4*d) - 2*d**5 + 0*d**5 + 0*d**5.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -25, -35, -43, -49?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-28)*70\/40.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -931*s**2 + 14*s**4 + 6 + 931*s**2 with respect to s.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajjajbajaaaaaaaj. Give prob of sequence aj.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 816190*q**3 + 2*q**2 + 217*q - 389186.\nAnswer: 4897140*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124205 is divided by 8762?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 24.\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.2 - -8. Put -0.4, b, 2\/7, 0.3 in increasing order.\nAnswer: -0.4, b, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/14 and 93\/21406.\nAnswer: 21406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*b - 17, 2*u - 24 = -2*u + 4*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2 + 77*i - 83. Let c(g) = g**2 - g. Let l(s) = 7*c(s) - v(s). Find the first derivative of l(f) wrt f.\nAnswer: -4*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2828*t - 17011. Calculate g(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -3, 1, 4 in decreasing order.\nAnswer: 4, 1, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -24134?\nAnswer: 24124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x + 4, -3*y = 5*x + 1. Let u(k) = 2*k**2 - 4*k + 4. Let o be u(3). Suppose 4*z = 4*l - 16, l + 2*z = 5*l - o. Solve y*n = -5 - l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p - 29. Let r(j) = -6*j - 14. Determine 7*r(n) - 4*z(n).\nAnswer: 2*n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 3*z**3 + 4*z**3)*(-16 + 5 + 3)*(z + 0*z - 2*z) + (-3*z**4 + 4*z**4 + 0*z**4)*(1 + 1 - 4).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3076 - 127390*y + 65705*y + 67201*y wrt y?\nAnswer: 5516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38243 (base 12) to base 5\nAnswer: 4420441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) -1 (c) 0 (d) 127 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - y**2 + 0*y**4 - 16*y**3 - 20*y**3 + y**4 - y to the form m*y**4 + i*y + j + x*y**2 + n*y**3 and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 4*c = -6*t - 9*t + t + 22, 60*t - 356 = 2*c for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 5*z**2 + 0*z**2 + (-1 + 7 - 3)*(3 - 7 + 0)*(-2*z**2 + z**2 - z**2).\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 2*u)*(-1 + 1 - 3)*(-4 + 2 + 4)*(-7 + 30 - 1).\nAnswer: 264*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.132 + -47.682. Let k = m + 0.55. Let b = k - -47.000031. Round b to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 38*y - 5*y = 433, 227*f = 447*f - 223*f - 7*y + 88 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 43475\/3290*10*(-10)\/(-125)*-7\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 201*y - 17. Is s(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3745*k = 2918*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 2*r, -6*b = -5*r - 2*b - 16. Let a(k) be the second derivative of 0*k**3 + 0*k**2 + r - 1\/12*k**4 + 2*k. Let p(o) = -3*o. Calculate p(a(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 + 129558*p**3 - 1836839019*p**2 + 9459160692696*p - 15991823619792432 = 0.\nAnswer: 4197, 17396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 91. Which is smaller: 3\/10 or w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*s = 37, -2*r + 5 + 9 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 57 = -n, 2*x + 3*x + 125 = 2*n. Suppose -2*y - y = -n. Solve 5*d - y = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 570*s - 1172. Does 20 divide g(69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -52. What is the remainder when (m\/8)\/((-2)\/(-568)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -22*u. Calculate the remainder when o(-1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1554 + 11?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 70677 divided by -7853\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154655, -158934, -163213, -167492?\nAnswer: -171771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015217274 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:51 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m + 10, -p - 65 = -3*m. Let n = -41 - p. Suppose 4*q - n = -4. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1420744, -2841489, -4262232, -5682973, -7103712, -8524449?\nAnswer: -9945184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -528.3795 to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -500, -13, -5 in decreasing order.\nAnswer: -5, -13, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58634 divided by -21?\nAnswer: -58634\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 + 4\/8*-10)*-8417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996030 by -27.\nAnswer: 36890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 - 7 + 3 + 24*l. Let r be d(1). Let w be ((-4)\/8 + 1)*r. What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/(k**(-2\/11)*k)))*k*k*(k*k**(2\/17))\/k*k)\/((k\/k**(-1\/20)*k)\/k**(3\/17)))**(-2\/47) assuming k is positive.\nAnswer: k**(-9073\/87890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**3 + w**2 - 222*w - 523. Calculate b(0).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 95072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18 = -5*y, -61*y + 59*y + 2 = 3*n. Let q(l) = -l**3 + l**2 + 6*l - 1. Determine q(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojmooymmjymoymm. What is prob of picking 1 m and 2 y?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -203212 (base 4) in base 14?\nAnswer: -b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 139209072*p. Let m(w) = w. Calculate m(v(y)).\nAnswer: 139209072*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4401 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47655370 - -5*4\/(-10). Suppose 0 = -2*o - 2*o + j. Let p = o - 20513842. Round p to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-347 - -331) + -1 + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 34*c - 11. Give w(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763422 is divided by 103726?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81.72778 weeks?\nAnswer: 49428961344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18156 less than -3?\nAnswer: -18159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 122818*j + 57970099. Calculate f(-472).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, r: 1}. Give prob of picking 1 v and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-3*-2*6 + 1 + 5)**2.\nAnswer: 4320*sqrt(7) + 907236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/7 + 164*u**4\/7 - 6724*u**3\/7.\nAnswer: -u**3*(u - 82)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -63. Suppose -2788 - 3284 = -w*m. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 13*f + 37110*f**3 - 50769*f**3.\nAnswer: -13659*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/6)\/((n\/(n**(41\/3)*n))\/n) assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 - 256*j**4 - 3433*j**3 - 10942*j**2 - 12604*j - 4840 = 0.\nAnswer: -242, -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/3910302 and 173\/6517170.\nAnswer: 19551510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o - 15. Suppose 4 = -u + 8. Let a(t) = -t**3 + 2*t**2 + 11*t - 8. Let b be a(u). Solve 0*c - 2*c = -b*k + 2, -2*k + 3 = -o*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94160485 to the nearest integer?\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149986\/11 or -13634?\nAnswer: -149986\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201313 + 12?\nAnswer: -1201301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1597076, 3194156, 4791236?\n\"Answer: 1597080*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7682 = -3*y - 20*y. Suppose -15*q + 251 = -y. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o - 434 + 1364 + 609 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1528, 1\/4 in increasing order.\nAnswer: -1528, 1\/4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-12))\/(-1))\/1*-3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001637715028 to seven dps.\nAnswer: -0.0001638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 = 4*r, -5*j - 10 - 5 = 0. Suppose 4 = 5*n - l - 5, 3*n - r*l = 4. Suppose 5*i = 0, -n*x + 4*i = -i - 24. 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: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 44. Suppose x + 5 = -0*x + 2*k, -s*k + 49 = -5*x. Put x, 5, 3 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11) - 810\/165.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301107159 and 9?\nAnswer: 301107159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*g = 164*g - 2*a - 91, -13*g + 6*a + 263 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*11893.\nAnswer: -368683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.055 - 25.945. Let z = 5750497.00013 + -5750471. Let o = s + z. What is o rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/4 - 301*a**3\/4 + 579*a**2\/4 + 173129*a\/4 - 173075\/2 = 0. Calculate a.\nAnswer: -301, -25, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {o: 4, h: 2, p: 1, i: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -8*i - 1\/6*i**3 - 4 - 4*i**2. Let r(g) be the first derivative of v(g). Determine r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/(d*d**(5\/4)\/d)*d*(d*d\/d**5)\/d*d*d*d**(-3\/5) assuming d is positive.\nAnswer: d**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/4*(-27)\/2*2. Let w(f) = 19*f - z*f + 10*f. Let y(p) = 8*p. Give w(y(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46765 or 46763?\nAnswer: 46763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (4 - 15) - 5 - -5) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957243724?\nAnswer: 2, 3, 73, 1125283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + s + 39 - 47, 18*v - 55*s = 17*v - 23*s - 20 - 236 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (-1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from {b: 9, v: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 599418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1172*k + 4*k**3 - 1170*k + 2342*k - 2 + 8*k**3. Let n(f) = -23*f**3 + 4. Determine 7*c(x) + 4*n(x).\nAnswer: -8*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123753*k + 247515*k - 123765*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 38. Sort -5, v, 1 in descending order.\nAnswer: v, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 56*n**2 - n - 5. Calculate v(-28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 6*g + 16*g**3 - 1 - 13*g**3 - 3*g**2. Is d(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2.2, 0.1, 0.4 in increasing order.\nAnswer: -2.2, -2\/9, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*(-44)\/66)\/(4\/6*3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 2*d**2 + 4*d - 3. Let q be z(2). Let y be (-75)\/q - 6\/(-27). Suppose -y*s + 24 = -s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 322836 = -5*k, -268267 = -3*k + 5*q - 74571. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55643.185 - 55775. Let z = 0.185 - p. Let m = z - 132.00063. Round m to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - -0.48. Let j = -1508 - -1510. What is the closest to 0.031 in j, -2\/11, i?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 15, 4 in increasing order.\nAnswer: -3, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2. Suppose 3*x = 13*x - 90. Let k(v) = -x + 2*v + 13 - 4. Determine k(p(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*n - 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 - i + 79. Let u be k(0). Suppose -2*r + 3*z = -0*z + 88, -5*r - 2*z = 220. Let d = u + r. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r - 33. Let m(f) = -392*f - 56. Let y(t) = 59*t + 8. Let u(p) = 3*m(p) + 20*y(p). Give -2*o(i) + 9*u(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1620, -2241 in decreasing order.\nAnswer: 43, -1620, -2241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 581 + 12 + 7*l**2 - 1 - 240.\nAnswer: 7*l**2 - 789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*a - 742 = -157*a. Solve 2*c = -5*s - a, 4*s = 6*c - 3*c - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 0.192\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740\/15 - (-6)\/9 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 15) in base 16?\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -98*f**3 - 2178193528*f**2 - 1244681992*f - 177811712 = 0.\nAnswer: -22226464, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 843*w + 17. Let f(l) = 3*l. What is f(o(c))?\nAnswer: -12*c**2 + 2529*c + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from hhbvbvbvvhbbv.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + -267. Does 11 divide (-418)\/6*(-6 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161606?\nAnswer: 2, 80803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367 + -218. Let k be ((-259)\/4)\/(-4 + (-90)\/(-24)). Let g = k - h. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d + 21. Let k be o(0). Suppose 28*s - k*s - 2632 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.63, -0.3, -141, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**6\/v)*v**(-2\/9))**38 assuming v is positive.\nAnswer: v**(-1444\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 17 + 19 - 2*v + 2*v**3 as w*v**2 + j*v**3 + m + n*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.4 (c) 20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26617287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p - 6*p + 3 + 3*p**4 + 10*p with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257920907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 15\/7, -1\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 23 = -37. Let x be (8\/10)\/(28\/a). Suppose b - 15 = -2*b. Sort b, 4, x in decreasing order.\nAnswer: b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.29408 micrograms to grams.\nAnswer: 0.00006329408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Suppose 0*x = -s*x + 70. Is (-466)\/(-14) + (-4)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38292?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 58. Let g = 35 + -44. Let q = g - -13. Which is the third smallest value? (a) q (b) u (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53954 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-6)))\/(k*k**5))\/(k\/(((k*(k*k**(10\/9))\/k*k*k)\/k)\/k*k)*k**(4\/15)) assuming k is positive.\nAnswer: k**(-457\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-1 - (-23632)\/5275)*(-20)\/(-6).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*i**2)*(-11*i**3 + 6*i**3 + 3*i + 6*i).\nAnswer: -20*i**5 + 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Suppose 22 + 42 = m*c. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 31?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163948.\nAnswer: 2, 17, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 2*g**2 - 2*g**2 + (-2*g + 0 + 0)*(1786 - 44*g - 1786) in the form t*g**2 + s + d*g and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24888 and 40?\nAnswer: 124440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = o, 4*n = -n - 3*o + 8. Suppose -5*l + 5*p = -35, -31 = l - n*l + 5*p. Suppose 2*v + 16 = -l*v. Is v > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 8. Let s(i) = -2*i - 4. Let q(n) = -7*s(n) + 3*y(n). Let f(d) = 4 - 3160*d**2 + 3162*d**2 - 4. Determine f(q(a)).\nAnswer: 8*a**2 + 32*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287 not equal to 21438\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99798833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (11 - (-7 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = 4*l - 418. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4333 + 4333. Let f(c) be the second derivative of r + 0*c**4 - 1\/15*c**6 - 2\/5*c**5 + 0*c**3 + 0*c**2 + 17*c. Solve f(j) = 0 for j.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, 0.29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 104, 102, 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -35*v**2 + 840*v + 10. Let i be n(24). What is the closest to -2\/3 in 0.2, i, -35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246756.\nAnswer: 2, 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w + 144 = 105*w. Calculate the lowest common multiple of 162 and w.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:07 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -476*a. Let t(b) = 29*b. Let o(n) = 3*h(n) + 49*t(n). Let y(p) = p. Let u(g) = g**2 + 3*g. Let r(f) = 2*u(f) - 6*y(f). Determine o(r(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-13) + 8154\/234. Let t = v + -43. Suppose -p - 106 = -98. Is p smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 46100)\/((-55)\/(-10) + -5). Round v to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2982 - 0.0806. Round c to 3 dps.\nAnswer: -0.379","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 562*b + 130*b + 230*b + 61*b + 587*b + 342*b + (-b + 3*b + 0*b)*(0 + 0 - 3) - 2*b + 0*b + b.\nAnswer: 1905*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*v**2 + 376*v**2 + 32*v**2 + (4*v + 2*v**2 - 4*v)*(-3 - 2 + 4) + (2*v - 5*v + 0*v)*(0*v - 2*v + v).\nAnswer: 455*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -103, -1, 4, -3 in descending order.\nAnswer: 4, 1, -1, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 38969975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 8 + 14)*(3 - 6 - 2)*(6 - 3*v - 6) to d + o*v and give o.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-3)\/(-7)*(-84)\/(-8))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, e: 4, q: 1, c: 1, f: 1, h: 2}. What is prob of sequence vhef?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + ((-290)\/12 - -1) and 31\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6779 is divided by 424.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 48991\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = -31 + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/50 + 2\/25. Let s = 0.84 - 0.8. Let h = s + -0.04. What is the closest to r in -1\/4, 3\/5, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3379, -3313, -3155, -2899, -2539, -2069?\n\"Answer: w**3 + 40*w**2 - 61*w - 3359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -7\/2*b**2 + 0 - 2*b**3 - b. Is 14 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 18.6, 0.4, -3, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -2 (c) 0 (d) -0.3 (e) -0.672\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/60 + 4\/(-210)*-3. Is m at least as big as -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n + h - 21 = 100*n, 0 = n - 2*h. Let v(s) = s**2 - 5*s - 4. Let d(r) = 4*r**2 - 19*r - 17. What is n*d(m) + 26*v(m)?\nAnswer: 2*m**2 - 16*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 183\/7, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4 = -4*s, 10 + 14 = -4*s - 2*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160946408 and 295134.\nAnswer: 482839224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 539 + -3269\/6. Find the common denominator of (4 + -1)\/(10\/(-31)) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26397802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 419354 and 25766.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, g: 5, b: 3}. Give prob of sequence bbhg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4 = -5*y. Is ((-472)\/12)\/(y\/(-246)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodqoqdqqqos. What is prob of sequence qds?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s + 77. Let n be f(5). What are the prime factors of (-4856)\/n + 6 + 6?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7\/(-7) + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 3, z: 2, u: 8, y: 1, x: 1}. What is prob of picking 1 m, 1 v, 1 u, and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from nmrgb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 23 = -g, 4*g + 18 = 5*g - 4*s. Put 5, -4, 2, g in decreasing order.\nAnswer: 5, 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24938337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.5839l in millilitres?\nAnswer: 316583.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 2, -10, -2 in increasing order.\nAnswer: -77, -10, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*(-6)\/4620*2530\/20.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let o(c) be the second derivative of -3*c**3\/2 - 9*c**2\/2 - 5215*c - 2. Give -6*h(i) - o(i).\nAnswer: 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55521)\/995 + ((-18)\/(-10) - 0) + 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 13 - 49 = -4*n, -4*n = 3*c - 28. Let f(v) = -2 + v**2 + 10*v - 1 + 6. Calculate the remainder when n is divided by f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -31, -4, 0, 4 in decreasing order.\nAnswer: 4, 0, -4, -18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/161 - (-3162)\/21. What is the units digit of y\/(-20)*(-1356)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -494*n + 12 - 487*n + 979*n. Give v(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 5400861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*d - 0*q + q, -3*d + 5*q = -31. Let s = d + -17. Suppose -8*p - p + 90 = s. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*i + f, -6 = -4*i + 3*f + 36. Let m(z) = 3*z - 5. Let u be m(3). Solve u*h - i - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:29 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11590 and 2318.\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -3, 4 in ascending order.\nAnswer: -3, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 1, l: 1, a: 1, t: 1, x: 1}. What is prob of picking 1 t, 1 l, 1 x, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x - 3. Let g be c(0). Let z(b) = b**3 + 5*b**2 + 3*b - 4. Let d be z(g). Solve 0 = -p + d, 3*n + 0*n + 21 = 3*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1695*t - 8473. Let c be m(-5). Let f(u) = -22*u**2 + 3*u - 3. What is f(c)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -68 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118594*j**5 + 5*j**4 - 13*j**2 - 7*j + 6296 wrt j.\nAnswer: -7115640*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80632*o**6 - 4*o**5*r**3 - 2*o**2*r**3 - 2*o**2*r - 67615*r**3 + 13*r wrt o.\nAnswer: 9675840*o**3 - 240*o**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q - 6 = 116*q + 42 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(-90)\/26. Which is greater: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-20))\/((-4)\/120). Let p be (-8)\/r*15\/(-10). Let u = 3 + p. What is the closest to 1\/3 in -4, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*o + 424*o = -2700 - 1636 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 1\/3 (c) -5 (d) 27941 (e) 0.2 (f) -0.2 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxpxxk. What is prob of picking 3 x and 1 k?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -150, -4, -9, 5.\nAnswer: -150, -9, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d)**26*(d*d**(-9\/5))\/d*d**(-17) assuming d is positive.\nAnswer: d**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:52 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-44) + (-9)\/(495\/(-175)). Suppose 2*v - o*x = -4*x + 579, -2*v + 599 = 5*x. Calculate the remainder when v is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139\/5 + 27. What is the third biggest value in -0.4, 2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(19))**2 + -4)*-3.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76543, -153189, -229941, -306799?\nAnswer: -383763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161203019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from dddddvddvv?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Let b be 7\/(-4) + g\/(-4). Let a be (b*1)\/(16 - 1). Sort a, -3\/7, 3 in descending order.\nAnswer: 3, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167*-5.11304\nAnswer: 853.87768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2889266621 to the nearest integer?\nAnswer: 53752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3855935?\nAnswer: 5, 31, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496277 is divided by 3008?\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 17*t - 2. Let o(h) = -h**2 - 16*h + 3. Let f(i) = -5*n(i) - 6*o(i). Let r be f(-12). Solve 0 = -2*s - 5*q - 2, 4*q = -3*s - 0*q + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 7:19 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1303 + -1311. Which is the smallest value? (a) 1 (b) z (c) -1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7851 = 231*y + 702*y + 14541 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.26.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 26*g + 61*g - 24*g - 5826*g**2 - 21*g - 2249*g**2.\nAnswer: -8075*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/9))\/q**5)**(-45) assuming q is positive.\nAnswer: q**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Let a(t) = 2*t**3 - 2*t**2 - 2*t. Let q be a(2). Let u = -96 - -99. Solve -q = u*g - d, 0 = i*g + d - 3*d + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55.8*0.4.\nAnswer: 22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -14, -4, 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 60\/36 - 1*2\/3. What is the fifth biggest value in m, -0.5, 3, 8, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*h + 2533 + 1640 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 653*y**2 + 1306*y + 1306. Let c(t) = t**2 + t + 1. Calculate 1306*c(j) - h(j).\nAnswer: 653*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*h - 90, 6*d - d + 2*h = -101. Let p = -17 - d. Let f(a) = 4*a - 4*a + a + p*a. Let q(l) = 2*l. What is q(f(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*z = -4 - 6, 5*o - 2*z = -4. Let v(y) = y**2 + 9*y + 391. Does 13 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -8. Suppose -4*v = -5*c + 1, -8 = l*c + v + 2. Let j be (-19)\/c + (-8)\/(-12). Solve -2*y - j + 1 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 18 = 2*m. Suppose -4*g + g - m = 0. Put 3, 1, g in increasing order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v + 11. Give n(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/y**(-3\/4)))*y\/y**(-3)*(y*y**(-2\/3)*y)\/(y**(-6)*y) assuming y is positive.\nAnswer: y**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(102)*-5)\/(sqrt(24)\/(sqrt(400) - (sqrt(400) - (sqrt(400)*4 + sqrt(400)) - sqrt(400) - sqrt(400)))).\nAnswer: -5600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -392 + 392. What is the closest to 6 in -3, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*o - 7*o**4 - 3*o + 7*o**4 + 5*o**5 wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, a: 9}. What is prob of sequence ca?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/15*-6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2. Let t = 20 + -19. Let b be c(t). Suppose 0 = -8*n + b*n + 4*d + 32, -d - 13 = -2*n. Solve -2*l - 1 = -3*z, 2*z + 0 + 2 = n*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -3. Let p = 0.3 - 0.49. Let y = -0.29 - p. Which is the biggest value? (a) t (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5224*p**3*s*w**2 - 113*p**3*s - 2*p**2*s*w**2 - 8*p**2*w - 1184*p**2 - 10*p*s*w**2 + 3 wrt p?\nAnswer: -31344*s*w**2 - 678*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 2. Let p be d(0). Let g be p\/(-1*(-3 + 1)). Is (-3 - g)*(-118)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.04167 rounded to two dps?\nAnswer: -8.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 12*q**2 + q - 5. Calculate the remainder when h(12) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 7. Let c be (-30)\/(-4)*(-2)\/3. Let a(v) be the second derivative of 0 + 2*v - 1\/2*v**3 + 5\/2*v**2. Determine c*o(u) - 7*a(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, 1\/3, 2\/5, -4, -0.2 in decreasing order.\nAnswer: 149, 2\/5, 1\/3, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from riprrbiwwrpirbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34564 = 197*v + 6393. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 3. Let z(g) = 5*g. Let o(p) = 6*p. Let k(n) = r*o(n) + 5*z(n). Let v(c) = 5*c. Give v(k(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + o - 237, 4*a - 314 = -10*o + 8*o. Calculate the highest common divisor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -725*k - 695 wrt k.\nAnswer: -725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - -3. Let x = 228.1 + -204. Let p = x - r. What is the nearest to -1 in p, 4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11567 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-180)*39\/(-52)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*y**5 + 12400*y**4 + 16435*y**3 - 17490*y**2 + 3600*y = 0. What is y?\nAnswer: -2, 0, 3\/8, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 26*h**2 - 13*h - 40. Suppose -5*s - 8 = -s. Calculate the remainder when l(-13) is divided by s\/(-11) - (-1420)\/55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - 1) + (0 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -1210235098.6?\nAnswer: -1210235098.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*q = 3633 - 170 + 2. Suppose 7*x - 25 = 2*x. Sort x, -5, q in ascending order.\nAnswer: -5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 times -0.7932\nAnswer: 0.214164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6707312 and 1032.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/5? (a) -0.18 (b) 0.4 (c) -6 (d) -0.4 (e) -3\/7 (f) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6 - 10. Let u(d) = -9*d**3 + 47*d**2 + 6*d - 15. Let n(c) = 7*c**3 - 36*c**2 - 5*c + 14. Let m(r) = -5*n(r) - 4*u(r). Give m(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041 (base 13) to base 4.\nAnswer: -203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 3. Let a be x(3). Let i be -1 + (6 + -1)*33. Suppose a = 4*p - i + 36. What is the highest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 9, 17, 39, 81, 149, 249, 387?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8937 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 32. Suppose d = 2*u + y + y + 18, 0 = -u + y + 1. Sort u, -2, 4.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 89 = -189 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -20195482 and -20195482 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*x = 42948, -5*x + 9388 = -l - 1374. Let w be (-4)\/(-10) + 1503134\/140. Let a = w + l. What is the common denominator of 145\/6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898321 is divided by 27220?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 2*c, 0 = 3*q - 4*q - 3*c - 3. Let n be 1 - q - (-10)\/(-40). Sort n, 3, 0.\nAnswer: 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-2 + 5*-5*(-3 + sqrt(1100) - sqrt(1100) - sqrt(1100)) + 5))**2.\nAnswer: 1404000*sqrt(11) + 24969024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + 1 + 6 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30246 - -4?\nAnswer: -30242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, -4*j + 47 = -18*k + 13*k. What is the remainder when 33 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -47) + (-2 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 252 = 2*h, 0 = -0*h + 3*h + 5*q - 375. Suppose 4*i = 4*k + h, -5*k = i - 4 - 8. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281330, 281321, 281306, 281285, 281258?\nAnswer: 281225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 0 - 12. Let b be 91*(-4)\/(-16) + x\/8. Let c = b - 19. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 + -211. Suppose 3*w + 2*x = 8*w - 66179, -k*w = 2*x - 66171. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5535770 and 73504.\nAnswer: 4594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1994034\nAnswer: -13958238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3595*i + 5. Let m(a) = 5401*a - 7. Determine 7*l(u) + 5*m(u).\nAnswer: 1840*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2773, -6, -0.1 in descending order.\nAnswer: 0.2773, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -13) - ((-1 - 26) + -64 + 68)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 2552986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*x + 9 + 4, 0 = 2*x + 2*c + 4. Suppose 9 = m + x. What is the remainder when 2\/(-4) + 21\/2 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*f + 517 - 4036 + 41 = 0 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let l be y(-11). What is the greatest common divisor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136864 = -3956*d - 64892 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*r + 4 = 0, -5*z + 2*r - 4*r + 1 = 0. Let p = z - -7. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 725 and 49.\nAnswer: 35525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/24 - 4*u**2. Let l(b) = -52*b - 4 + 4 + 54*b. Calculate s(l(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 2 in descending order.\nAnswer: 17, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43 and 1333?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 61*i**2 - 672*i + 89. What is y(-46)?\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.07 + 0.07. Let b = 12.964 + o. What is b rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2*i + 4. Let b be a(-3). Let l(t) = 7*t - 102. Let q be l(20). Let y be b*54890002\/11 - q\/209. What is y rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.3 (c) -0.2401 (d) 351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37229539*b**2 - 7315704 wrt b?\nAnswer: -74459078*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1 + 22234\/26 + ((-544)\/221)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/435933038 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (45\/(-10))\/(15\/(-2480))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, p: 2, q: 3}. Give prob of sequence qj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 11*j**2 + j + 16. Let a be x(-11). What is the smallest value in -3, -0.2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9245633 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - x + x + (-1 - 2 + 2)*(0*x**2 + 4*x**2 - 3*x**2) + 0*x + 0*x - 4*x**2 - 22 + 22 - 25*x**2.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1229764 and 212.\nAnswer: 65177492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -85.7.\nAnswer: -96.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6909 + -6920. Which is smaller: b or 4\/143?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 150 = 3*j - 50, 4*k + 3*j - 53 = 0. Suppose -4*w - 3*r = -26, 0 = 5*w - 5*r + 2 - k. Solve -4*u + 3 - 7 = -4*c, w*u = c + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8\/10)\/((-13)\/(-39))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - f**2 + 174*f - 129. Let a be m(13). Calculate the greatest common factor of 88 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 55, 173, 397, 763?\n\"Answer: 6*f**3 - f**2 + 9*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1625 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 13.9973727059?\nAnswer: -14.4973727059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19750719, 19750727, 19750735, 19750743?\n\"Answer: 8*p + 19750711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1539, 1540, 1539, 1536, 1531, 1524?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 257917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3775*j**2*u**3 - 15*j**2*u**2 + 2*j*u**3 + 2*j*u**2 - 1954*j - 2*u**3 wrt j?\nAnswer: -7550*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*o**2 - 1 - 201*o**2 + 1 to z*o + k + a*o**2 and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184220.\nAnswer: 2, 5, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 97*h - 12979. What is m(134)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13019 is divided by 10495.\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 + 121 + 228 = -14*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -5, 0, 53.8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41748 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/35 + (-136711)\/(-70). Suppose 2*h = -2*r - 3900, 2*h + 3*h + 9738 = r. Let n = o + h. What is the common denominator of n and -81\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 3. Let k be r(-3). Let o = 34 - k. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2\/106335 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 11474324?\nAnswer: -11474328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5595 or 7\/1049?\nAnswer: 1\/5595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8542 to 2 decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - (13 - 251)\/(-14)) + (82 - 92)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*w + 85, 3*q + 2*w - 74 - 3 = 0. Suppose -q*j - 320 = -7*j. Is ((-441825)\/j)\/15 - 2\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141 a factor of 1932768778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11172399 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -473*b + 9155 - 28882 - 16694 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11476195.\nAnswer: 5, 23, 99793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Let k = t - -7. What is the second derivative of -4*d + d**3 + k*d + 0*d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6 + 1. Suppose 0 = n*k + 3*j - 147 + 40, 4*k - 3*j - 64 = 0. Suppose -3*t - 2*a = -38, -2*a = -2*t + 3*a + k. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p**17)\/(p**19)**(1\/37) assuming p is positive.\nAnswer: p**(-500\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 191a - a?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.086 + 0.314. Let s = -279.2 + 278. Which is the second smallest value? (a) 2\/9 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(99)*-1)**2 + sqrt(99) - (0 + ((2*sqrt(99))**2 - sqrt(99)))).\nAnswer: -1505 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g + 2*j - 156992, 0 = -5*j + 10. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877204, -1754449, -2631694, -3508939, -4386184?\nAnswer: -5263429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(50\/11550*-33)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 - 6*f**2 - 8*f**2 + 6*f**2 in the form m*f + v + r*f**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n*n)**(-1\/2)\/(n*n\/(n*n*n*n**(2\/3)\/n*n)*n)**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 26. Let b be f(0). Let c = 39 - b. Suppose -5*s + c = -595. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u - 51. Let m(q) = -30*q + 134. Let t(j) = 5*m(j) + 13*y(j). Determine t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + l**2 + l - 2. Suppose -2*n - b = -2*b, -4*b + 14 = -n. Let r be j(n). Is r\/(-9)*(-15)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0 - 1\/12*s**4 + 0*s + 8*s**2 - 1\/3*s**3. Let b = 11 + -7. Give o(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -29*o**2 + 3*o. Let a(b) = -b**2 - b - 1. Give 3*a(u) + p(u).\nAnswer: -32*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 38709*f**2 + 3*f - 38709.\nAnswer: -3*(f - 12903)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4 + 3 + 2 - 4.\nAnswer: 4*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2130.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -83*v**3\/6 + 46*v**2 + 107*v. What is the first derivative of t(q) wrt q?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34636 + -34521.128. Let v = n + -115. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5486 - -5486.2419. Let o = 0.0419 - z. Which is smaller: 1\/190 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-66))\/(-2*(-5 - 175\/(-40))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-18))\/4*129\/(-86)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/192*-8)\/(((-279)\/12)\/(-3))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107.03 - 108. Let m = 3.03 - g. Put 17, -2, -3\/8, m in increasing order.\nAnswer: -2, -3\/8, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 16*v**2 + 1\/30*v**6 + 19\/60*v**5 + 0*v + 0*v**3 - 5\/24*v**4 + 0. Factor n(c).\nAnswer: c*(c + 5)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -10.7.\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 75 + 90. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77034b (base 12) to base 6\nAnswer: 104242135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 3 + 2*x - 31*x + 29*x.\nAnswer: 3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 109. Let q = g - 76. Suppose 2*b - 6*v - q = -2*v, v = 4*b - 98. Calculate the highest common factor of b and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119997 is divided by 4783?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -172\/3 (b) 0.069 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m + 6. Calculate the smallest common multiple of k(-6) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -52*z**2. Let h(r) = -70815*r**2. Calculate q(h(y)).\nAnswer: -260767739700*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3726 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*l**5 - 1556*l**2 wrt l.\nAnswer: 39960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllblwllblwblbllbul. What is prob of sequence wbuw?\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8689 + 8855. Is w a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21))**(-36) assuming w is positive.\nAnswer: w**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -101. What is the third derivative of 0*h + 29*h**2 + 9*h**6 - 1570*h**4 + 1572*h**c + 0*h wrt h?\nAnswer: 1080*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 17*k + 9. Let r = -11 - -15. Let m(u) = 2*u**2 - 8*u - 4. Let j(z) = r*n(z) + 9*m(z). List the prime factors of j(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6a (base 11) to base 8.\nAnswer: -5071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 200\/(-12)*(-12)\/5. Let y(k) be the third derivative of -k**4\/24 - 3*k**3\/2 + 2*k**2. Let o be y(-13). Calculate the highest common factor of l and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 438*p + 2*p**2 - 119*p + (-p + p - p**2)*(-2 - 2 + 1) in the form k*p + n*p**2 + u and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147911\/63210 - -43\/245. Let b = u + -2\/129. Let x be (-6)\/(-10) + 0\/1. Sort 1\/8, b, x in descending order.\nAnswer: b, x, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137 + 251*t**2 + 137 + 2*t**2 - 3 + 3 + (-2*t + 2 - 2)*(0*t - 2*t + 0*t).\nAnswer: 257*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 4*n + 1, 2*n = t + 3. Suppose v = -4*a - 27, 0 = 2*v - 6*v - n*a - 178. Which is greater: -48 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/24)\/10*31\/(1302\/(-1449))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32.03 and 7635420.\nAnswer: 7635452.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 11 - (1 + 4) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -101, 1.9, 5\/4, 2\/5, -2 in decreasing order.\nAnswer: 1.9, 5\/4, 2\/5, -1, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 17*v = 16*v - 13, 4*f - 26 = -3*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i - 2*i + (-4 + 5 + 0)*(-i - 1 + 1))*(74*i + 58*i + 17*i)*(0 - 4 + 2).\nAnswer: 894*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 48, -2\/3, -4 in decreasing order.\nAnswer: 48, 0.1, -0.4, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 + 57*f - 30. Let u be p(9). What is the greatest common factor of u and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/33))**(2\/21) assuming t is positive.\nAnswer: t**(-4\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + q = 8, 40 = 4*p + 2*q + 52 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -18, 120, 0.7.\nAnswer: -18, 0.03, 0.7, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68 + 412 - 383*y - 53 - 172*y + 142 wrt y.\nAnswer: -555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778076563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129.63 + -129. Let h = b + -1.71. Round h to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:18 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000578031 to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2352 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + -3.6131615299378\nAnswer: -2.7131615299378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + (2 - 1). Suppose 0 = 3*d - w*d - 9. Suppose -3*q = -5*i - 15, -d*q = -q + i - 10. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-49)\/98). Let m be (-6)\/(-2) - (-1 + -1). Sort m, -7, w, -1.\nAnswer: -7, -1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 154286 = 11*g + 3*t, 4*t = -5*g + 385729. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(625) + sqrt(25))*6) + sqrt(75)\/sqrt(3)*6)\/((sqrt(10)*-1)\/sqrt(2) + (sqrt(5) - 4*sqrt(80))) + -4 + 1.\nAnswer: -3 + 29*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 + (-14)\/(-4) + -2. Suppose 3*u = -u + 36. Solve -4*d = -0*d + 12, t*p = 2*d + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j**2 - 2*j - 5. Let o be 8\/16*(1 - -1) - -13. Let l = -16 + o. Is x(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(56)\/sqrt(4))\/sqrt(7).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1408)\/48)\/((-4)\/114). Calculate the greatest common divisor of 2376 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*b - 296 = 3164 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 27*l - 24. What is z(5)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158\/7 + 762\/35. Sort 2, -2, p, -1 in ascending order.\nAnswer: -2, -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0353 in 3, 0.4, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/757347 and 67\/3.\nAnswer: 757347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02901701 to four decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, 98, 246, 392, 536, 678, 818?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -713, -2354, -6797, -15440, -29681, -50918?\n\"Answer: -233*u**3 - 3*u**2 - u - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -53456+23\nAnswer: -53433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + 3*n)*(2 + 2 - 3)*(1 - 2 - 6).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1580 and 68098790.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -3*v**6\/10 - 5*v**2\/2 - 4*v. What is the derivative of k(r) wrt r?\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - 0.46. Let f = q - 0.18. Let j = -1 - -4. What is the nearest to f in -4\/5, j, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x - x + (-x - 3*x + 7*x)*(4*x - x - 4*x) - x**2 + 6*x**2 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -26*b**2 - b - 6*b**2 + 30*b**2. Let p be f(0). Suppose 0 + p*t + 4\/19*t**4 + 2\/19*t**3 + 2\/19*t**5 + 0*t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10660 is divided by 379.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 4*w, -3*l = w - 1142. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05637 - 0.94363. Put y, 1\/6, 91\/6, -3 in descending order.\nAnswer: 91\/6, 1\/6, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/9, -5, 147, -3, 15\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4635.25 - 5465. Let l = b - -830. Round l to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -1231?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.97 + -74. Let k = -4.03 - s. What is the second biggest value in 4, 5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -422 + 285. Let m be b\/(-5) + 4\/(-10). Suppose -6 = 24*g - m*g. Solve 2*j + 2*v - 14 = -2*v, g*v = 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - 17\/4. Let v(h) be the first derivative of h**5\/40 + h**4\/6 - h**3\/3 - 5. Let l(n) be the third derivative of v(n). Give l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybyjzzbyzjxbyyzybyw. Give prob of picking 1 y, 1 b, and 1 j.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:29 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 4*w**4 + 0*w + 5*w - 5 - 2*w**2 + 3 - 3*w**5 + 2*w**5.\nAnswer: -(w - 2)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 78*w**3 - 2*w**2 + w. Let t be f(2). Suppose -4*j - 74 = t. Let s = j + 764. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2609239 by 4.\nAnswer: 2609239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 5*(-32)\/(-20). Suppose -t*f + 23*f - 46323 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30332 + -30334. Let y = 6.1 + -7. Let w = 0.1 - y. Which is the biggest value? (a) 1\/6 (b) 0.3 (c) w (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, g: 1, u: 1, y: 1}. Give prob of picking 1 u, 1 y, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 45\/34483931?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 523066872 a multiple of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-20))\/(6\/(-8)). Let k be (-27)\/6 - -4 - (-1 + 0). Let j be (-3 - -2) + 3 + 9. Which is the closest to k? (a) r (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3. Suppose -2*r + 4*d + 22 = 0, -1 = 4*r + 5*d + 7. Let o(h) = 2*h**2 + 7. Let j(l) = r*o(l) + 7*q(l). Let k(m) = -9*m. Give j(k(t)).\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. Let m(b) = 0*b - 2*b + 4*b - 13 - 4*b. Let f be m(-9). Solve g - 4*g = f*v - 27, 4*v - o*g = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 divided by 1692?\nAnswer: 547\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 121. Suppose -q*b + 777 = -a, 3*a = 2*b - 4*b + 399. What are the prime factors of b?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 - 6*f - 7. Is 22 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/(2\/(-204)). Let q = -32 - s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-42)\/9)*-27. Let d = z - 128. Let p(t) = -t**2 + 193*t - 2336. What is the least common multiple of d and p(180)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20337645 and 6?\nAnswer: 40675290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*6\/4 - -75. What is the greatest common factor of 396 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:21 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 0*k)*(-5*k**2 + 4*k**2 + 2*k**2) + (-3*k + k + 4*k)*(-3*k**2 - 2*k**2 + 2*k**2).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 13*a + 3*a + 7*a - 2*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*n - 204*n - 13 = 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -4*b + 194*b - 2870. Let u(k) be the first derivative of 35\/4*k**2 + 245\/4*k + 5\/12*k**3 - b. Factor u(w).\nAnswer: 5*(w + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -26. Let t be v - (5 - (4 + 4)). Solve t = 3*d + 2*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 14*k - 225. Solve k = 9*g - 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2) + sqrt(162)*2 + 5 + -1 + sqrt(2) + (sqrt(8) + 0)*-3*-4)**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 211 = 11*p + 2*d, 4*d = -3*p + 613. Suppose 79 = 11*o - p. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkol when four letters picked without replacement from {d: 1, l: 1, o: 10, k: 2, j: 2}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**3 + a + 0*a - 16*a**3 + 1. What are the prime factors of j(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.559447 millilitres in litres?\nAnswer: 0.009559447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 27. Let l be 2*(z\/2 - -1). What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2165530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/16 + (-5)\/40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(5013*z**4 - 5013*z**4 + 623*z**5).\nAnswer: -623*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*x + 140*x + 75*x)*(105 + 179 + 16 + 33 - 30 - 6).\nAnswer: 47817*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/8809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 25 = 5*h - 5, -3*h - x = -10. Suppose 3*j + 4*w - 2*w = 54, h*j = 2*w + 90. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*0*4\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 - 203223152*q\/5 + 15487368565805664\/5.\nAnswer: 2*(q - 152417364)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x**3 + 2*x**2 - 2*x + 1. Let y be (0 + 1)\/((-12)\/(-36)). Let a be i(y). Let c = a + 468. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 14 = 0. Suppose s = -3*t + 1, -m + 12 = -4*t. Suppose 40 = m*o - 0*o. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.11 + 6.41. Let l = 0.89 + 0.11. What is the nearest to -1 in -7\/3, l, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u**5 + 1075*u**4 - 3435*u**3 - 2155*u**2 + 3470*u + 1080 = 0.\nAnswer: -1, -2\/7, 1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d + 3*d - 26 + 2*d + 23. Let k be (-46)\/(-14) - (-4)\/(-14). Let w be o(k). What is the highest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1778808032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let s(q) = q. Let o(l) = 4*s(l) - y(l). Let u(c) = 18 - 18 + 3*c. What is u(o(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-4)\/4*-166. Suppose -5*b - 12 = -m. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/37, -5, -5\/57, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1)\/((-4)\/8). Let f(i) be the second derivative of 0 - 1\/6*i**3 - 2*i + 0*i**k. Let y(m) = m. Determine f(y(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 16. Let z(m) be the third derivative of m**5\/10 - 5*m**3\/6 + 41*m**2. Let w(g) = -4*g**2 + 4*g**2 - 5*g**2 + 4. Give d*w(q) + 3*z(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*j*z**3 - 8*j*z**2 + 3952*j*z - 33466*j + 242 wrt z.\nAnswer: -114*j*z**2 - 16*j*z + 3952*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 - ((53 + -25 - -5) + -77)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 6, 12, 18?\n\"Answer: 6*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 16*w**2 - 77*w - 92. Determine k(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - y + 3 = -7, -4*u - 14 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 9*t = -20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 - -352. Let x(y) be the second derivative of 1\/10*y**5 - 4*y + 1\/3*y**4 + f + 0*y**2 + 1\/3*y**3. Factor x(c).\nAnswer: 2*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 88 = 2*u. Suppose -2*l - 2*l = u. Does 14 divide (-312)\/(-22) + 4\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9658 - -9773. Suppose 0 = 3*c + c + 400. Let a be ((-6)\/c)\/(m\/(-25) + 5). Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a + 5*a. Suppose f = -3*v + 1046, 0 = -3*f - 5 + a. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-40))\/((-6717)\/(-8956))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 25 + 11. Suppose 2*z = -z + k. Suppose -3*r = -2*p - 2 - 1, -6 = -r - p. Solve -q = -z*a + r*q + 32, -4*a - 4*q = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769016 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26162 is divided by 26108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 189450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 48*t - 22. Let d be p(3). Let c = 131 - d. Calculate the remainder when 25 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -2\/11, -5, 2, -81, -3 in descending order.\nAnswer: 2, -0.07, -2\/11, -3, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h + 1. Let k(i) = -5*i**2 - 8*i - 4. Let w(t) = k(t) + 6*z(t). Let p be w(3). Solve -13 = -2*j + 5*o, o = p*j - 3*o - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130029 smaller than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 1793.\nAnswer: -128\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 5*i - 2*t, -2*i = -3*t - 68 + 168. Let m be 0\/(-2) - 40\/i. Let z = 0 + 0. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17232588 and 34.\nAnswer: 292953996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 - 52 = 3*c, 0 = c + 5*w + 21. Let x = c + 20. Is (x + -4 + 2)*4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -697242790*h**4 - 523206601*h**2?\nAnswer: -16733826960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2560 and 2880.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -834?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892*f + 1919*f = 513 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120222110020 (base 3) in base 8?\nAnswer: 1146241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at least 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -61201*p + 1514. Calculate g(0).\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 143*q - 190702. What is h(-371)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2703643\/15 + -180324. Let k = -81 - x. What is the closest to 0.1 in k, 2\/3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g)**(-1)\/((g\/(g\/((g**(-9)*g)\/g)*g*g))\/g**(-3)) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-17)\/(-3060)). Factor -v*s - 17*s**3 + 6*s**3 - 24*s**3 + 28 - 165*s**2 + 12.\nAnswer: -5*(s + 1)*(s + 4)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 - 105*y**2 - 152*y?\nAnswer: 6*y - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156.7 - -157. Which is smaller: -0.11 or z?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((8\/(-10))\/2). Suppose 3*z - 17 + t = 0. Suppose -l - 3*m + 127 = z*l, 4*m = 5*l - 99. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.774 + -1338644.\nAnswer: -1338660.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -5, -2\/15, 0.1, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - -11.14. Let d = t - 14. Which is smaller: -1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21528 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*y + 731219 = -2877105. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = d + 4. Suppose 3*n + n = -d*c + 4, -2*c = 0. Solve 4*o + n = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 8 - -15 - -5 - 17 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**4 + 10*v**2 - 21*v**4 + 37*v**4 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105 in 86, 18, 4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. What are the prime factors of -4*(-1)\/b*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 1.5. Let o = -372.14 + 381.6461. Let x = o - j. Round x to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-11) + -4*(-1)\/22. Suppose -500 = -7*v + k*v. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 8*w**2 + 7*w - 1. Give n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -4. Let w be (s\/(-12))\/((-2)\/4). Solve 0 = -5*f + 2*o - 5, 3*f + 3*o + 0*o + w = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let i(v) = v - 3. Let m(w) = 4*i(w) - 14*r(w). What is m(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5082624 divided by -192?\nAnswer: 26472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106438241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 7. Calculate the remainder when 6\/(-4)*(d - 3088\/24) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4459?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2 - 88*l + 90 = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + -4)\/((-2)\/(-38)) is divided by 11\/(33\/54) + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*n + 56, 104*i = 105*i - 3*n + 26 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2.4. Sort 0.02, 0.3, r in increasing order.\nAnswer: r, 0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1107*q - 989. Determine d(1).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0 - 1\/10*b**5 - 1\/15*b**6 - 3*b + 1\/21*b**7 + 0*b**2 + 0*b**3 + 1\/6*b**4. Factor k(y).\nAnswer: 2*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355320268 divided by 4333174.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -170. Differentiate -85 - 90 + 115 + 3*m**2 - q + 14*m wrt m.\nAnswer: 6*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(28\/210). Suppose u - 67 = 2*j, 0 = 2*u + 8*j - n*j - 169. What is the remainder when u is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 + 398*z - 118. Give u(56).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2759*j + 180. Let b be z(-9). Suppose -20*i = i - b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 265*a = 264*a - 20, -5 = p + 3*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose -8 - 7 = -x*n. Suppose -2*a = n - 13. Solve 0 = -a*p + 4*k + 5, 0 = -0*k + 2*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from gbgbbbbggg?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 = -s, -5*g + 7 = -2*g + 5*s. Find the third derivative of 2*r**g - 16*r**4 + 0*r**4 - 19*r**2 + 64*r**2 wrt r.\nAnswer: -336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let h(l) = -6*l - 4. Let w be h(-2). Suppose m = 4*b - w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 33*h**2. Let o(a) = -19*a**2 - 3. Give o(u(d)).\nAnswer: -20691*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 131797.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let u(f) = 107868049*f. What is a(u(o))?\nAnswer: 23271031990132802*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.147 (b) -0.425 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-84))\/((-3)\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (306\/1)\/(-3 + 132\/40). Round g to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14359\/6 - (0 + 0). Let h = 2401 - a. Calculate the common denominator of (-854)\/(-60) + 2\/(-5) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 25\/10)\/((-4)\/(-32)). Let s(n) = -n**3 + n + 1. Let k(l) = -2*l + 6. Let d(v) = -1. Let z(j) = -8*d(j) - k(j). Determine p*s(h) - 2*z(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 28*d - 1345. Give r(30).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = w + 10, -5*w + 2*r - 98 = -21. Put -5, -3, w in decreasing order.\nAnswer: -3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.3 (c) -591 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -5 (c) -374 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5 + -20) - (-51 - -102)) + -21.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 200\/2*8*(-8)\/(-160). What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33\/5 + -34\/5. What is the biggest value in -3\/8, -1, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2771, -117, -5, 4 in descending order.\nAnswer: 16, 4, -5, -117, -2771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1126905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*r - 9209*d + 9213*d, -75*d = r + 388 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 6 + 9 + 1 - 11*v**2 + 1 in the form a + c*v + f*v**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 28. Let b be j(5). Suppose 4*d - 35 = -b. Does 34 divide ((-3)\/(-3))\/(5*d\/(-1780))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 102790?\nAnswer: -3\/102790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c + 8. What are the prime factors of l(20)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470587264 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:07 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*x + 29, 7*x = 2*c + 5*x - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -131 (b) 0.05 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 7*a + a + 4*a**2 - 3*a to the form w*a + r + u*a**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**3 + 29*r**2 + 1 - 29*r**2 to c*r**2 + z + g*r**3 + h*r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-4))\/(1\/(-1262665)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 982a2?\nAnswer: 98303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/35)\/((-12)\/(-20)). Find the second derivative of 8*l - 2*l**5 + 3*l**2 + q*l**2 + l**2 wrt l.\nAnswer: -40*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-855)\/3800 - (-2)\/16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5512576.\nAnswer: 2, 43067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -23. Suppose -4*m + i + 16 = 0. Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 104, 15?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*d + 9, 2*t = 4*d - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18031148 by 24.\nAnswer: -4507787\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.114 - -18\nAnswer: 17.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 - ((6 - 0) + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*1)\/4)\/((-43)\/516).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -1\/10*i**2 + 0*i + 15 + 1\/15*i**3. Factor p(n).\nAnswer: n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j + 2. Let w be s(8). Let g(o) = -2 - 4*o - 4 + o**w + 2*o + 0*o. Let y be g(4). Solve 0 = y*b + 4 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197 + -195.57. Let j = g - 3.43. Let f = -111\/5 - -22. Sort j, 2, f, -3\/2.\nAnswer: j, -3\/2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -573476 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719*s = 750*s. Solve n + 5*f + 21 = s, 3*f - 3 + 11 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -85 (b) 1.761 (c) 10 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/7))**(-48))**(1\/16)*(w*w\/(w**1*w)*w*w**3*w*w)**(-6\/25) assuming w is positive.\nAnswer: w**(-177\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/740 and 24\/4957963?\nAnswer: 99159260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 3)*3\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001616 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4510*w + 13523*w - 4510*w - 4 - 4504*w - 18.\nAnswer: -w - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2706229532 and -11.14?\nAnswer: 2706229543.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**3 - 64*k**2 + 1875*k. Determine b(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 7*j)*(-298*j - 68*j - 783*j).\nAnswer: -4596*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 110*y**2 + 412*y - 13. What is d(51)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2576 divide 509404000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7074 + 7074. Suppose 30\/7*c**3 - 24\/7*c**5 - 6\/7*c + b + 18\/7*c**4 - 18\/7*c**2 = 0. Calculate c.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 - 1857*x**3 + 75*x**2 - 33*x wrt x?\nAnswer: -480*x**3 - 11142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 69, -15, -99, -183, -267?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpr when three letters picked without replacement from prrrprppprpr?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkbjaqqe. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -32*i + 64. Let n(s) = -76*s + 126. Determine -3*n(g) + 7*o(g).\nAnswer: 4*g + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*19*(-198)\/(-3135)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1043 + 5*z + 1164 + 1067 - 1460 + 1136 to w*z + d and give d.\nAnswer: 2950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h)**(-42) assuming h is positive.\nAnswer: h**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 416*l + 27 = -417*l, -78 = -2*d + 4*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 3*k**5\/25 + 69*k**4\/10 + 144*k**3 + 1215*k**2 + 2025*k - 80. Find h, given that g(h) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/235 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 9*n + 10. Let r be v(5). Is r != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 > 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588858 is divided by 3765.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 8467509 = 8469429 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26219 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f + 26*f - 2 - 16*f. Suppose -5*x + 2 + 18 = 0. Suppose -2*n + n + 3*j - 6 = 0, x*n - 2*j + 14 = 0. Let y(z) = 5*z + 5. What is n*y(r) - 7*u(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 6649995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 11}. What is prob of picking 1 d and 1 e?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/(sqrt(4) + sqrt(4)*-2))\/sqrt(3) + ((sqrt(175)*2)\/sqrt(7))\/sqrt(5) + -2)*-3)**2.\nAnswer: -36*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 23*g**2 - 2*g + 1. Give o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*v**2 - 7734*v + 7734*v - 468*v**2.\nAnswer: -1063*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**9\/m)\/m))**(12\/19)*m*m**(1\/4)*m**(-6\/5)*m*m)**(-37) assuming m is positive.\nAnswer: m**(24457\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*w - 5*j - 37, -5*w + 130 = -5*j. Suppose -2*t = 2*t + z - w, -2*t = z - 15. Calculate the remainder when (-35)\/1*4\/(-10) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7661 or 7660?\nAnswer: 7661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-48)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400980559 to the power of 1\/3, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = p + 9, -p + 27 = -5*a + 3*p. Is a bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -4, 2\/37, 4\/5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*m - 49 = 23*m + 21*m + 4943 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/365799 and -109\/10.\nAnswer: 3657990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2585?\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - -2) + (12 - 16))\/(-2). Let g(n) be the first derivative of 0*n - 7\/3*n**3 + 0*n**2 + 2 + h*n**4. What is the third derivative of g(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20023023?\nAnswer: -20023033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -311 + 343. Suppose -x - 4*h - 42 = -0*x, 4*x + 3*h + 103 = 0. Let y = c + x. What is the lowest common multiple of y and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**5 + 0 + 1\/42*u**7 - 1\/24*u**6 + 8*u**2 - 7*u - 37\/8*u**4 + 0*u**3. What is the second derivative of h(z) wrt z?\nAnswer: 60*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let t(q) = 267*q. What is h(t(d))?\nAnswer: 267*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 109*j**2 + 4937*j - 14260. Determine l(-48).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(1539) + 0 - (sqrt(152) + (3*1*sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(8) - sqrt(968)*2).\nAnswer: 5 + 382*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 364?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/2353 + -8164922\/7059. Which is greater: c or -1156?\nAnswer: -1156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.8, 4, -3 in descending order.\nAnswer: 4, -3, -12.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*z - z - 1, 11 = 3*n + 4*z. What is the smallest value in 0, -4\/3, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 81*b**3 - 2*b**2 - b + 3. Let l be 5 - (5 + -5) - (6 - 2). What is the units digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25*-3)\/(3\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 - 1. Let u be w(-4). Let n be (-2)\/10 - 12\/40*-2. Which is the closest to n? (a) 0.1 (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.2, -10, 2\/919?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 8*f. Let u be d(-6). Factor 4*r**3 + 47*r + 18*r - 32 - 17*r - u*r**2.\nAnswer: 4*(r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9\/5 (b) -0.8 (c) 1\/4 (d) 1.1 (e) 2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(6\/(-18)). Let o = z + -2. List the prime factors of -1 - (-2 + o) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -7 + 2, a + 173 = 4*j. Let w = 61 - j. Let d be ((-2)\/(-3))\/(w\/(-351)). What is d rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.3 + 2.3. What is the closest to j in 2\/7, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1681, 10, -234, 2 in increasing order.\nAnswer: -1681, -234, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -2*u + 664, -u = -3*k - 342. Suppose -6*d + 564 = -3*d. Let o = u - d. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = 0. Let h(p) = p. Let f be h(3). Solve q = k + 2 + f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 4 - 1 + 6 + 6 to the form j*g + v and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g + 181. Let p(m) = 9*m - 178. Let f(r) = 3*j(r) + 2*p(r). Let n be f(32). Put 0.7, n, 5, 1\/2 in decreasing order.\nAnswer: 5, 0.7, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26589.\nAnswer: 3, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.02 - -0.02. Let q = -0.2 + -0.8. Sort 4, q, c.\nAnswer: c, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 5*k - 18. Let j = -27 - -19. What is the lowest common multiple of x(j) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/793 in 1, -5, 7, -9\/5, 86?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and -458 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 4*u + 340. What is the remainder when q(0) is divided by 89?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let l(q) be the first derivative of -2*q**3\/3 + 3*q**2\/2 + 460. Calculate x(l(h)).\nAnswer: -12*h**4 + 36*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 38 = -40*w + 957. Solve w*v = -31*v + 300 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*a**5*x**3 + 102*a**5*x - 5*a**2*x**3 - 158*a**2 - 2*x**3 + 1 wrt a?\nAnswer: -1380*a**2*x**3 + 6120*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 9*l - 10. Let q be w(10). Suppose -5*j + 5*b - 9 = 6, 13 = -3*j - b. Let m = 4 + 1. Sort q, j, m.\nAnswer: j, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2546, 0, 1 in descending order.\nAnswer: 1, 0, -2546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 14*h + 24 = 0. Let t(d) = d**3 + 5*d**2 + 4*d + 3. Determine t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.179 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 485, 1966, 4429, 7862, 12253, 17590, 23861?\n\"Answer: -2*p**3 + 503*p**2 - 14*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184*k + 1237*k = 2581577. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 4, o: 8, h: 1}. What is prob of picking 2 y and 1 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*x = 5*i + 7, -2*x - 4 = 2*i. Let q be -324*10\/75*-5. Suppose 2*k - 96 = -2*u, 2*k + i*k - u = q. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*j + 12946, 3*r + 2*j = 6*r - 9699. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4349, -8701, -13053?\n\"Answer: -4352*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20*((((a*a**(-26)*a)\/a)\/a*a)\/a)\/a assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 3*f - 9. Let m(h) = 13*h**2 + 6*h + 15. Let g(c) = -5*c**2 - 2*c - 5. Let z(o) = -8*g(o) - 3*m(o). What is -4*y(w) + 7*z(w)?\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6769 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1676, 1555, 1222, 569, -512, -2129, -4390?\nAnswer: -7403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73610, -73612, -73614, -73616, -73618?\n\"Answer: -2*f - 73608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684) + -2)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 47548 divided by -128\nAnswer: -11887\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/2757 + -3055\/410793. What is the common denominator of t and 7\/10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 6)*(3*j**3 + 3*j**3 - 2*j**3) + j - j**3 - j to n*j**2 + k + f*j**3 + y*j and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473498012 a multiple of 2217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 9.2\nAnswer: 349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36949 to 3 decimal places.\nAnswer: -0.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/5033 + 20156\/15099. What is the third smallest value in -1.13, g, 3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 6) + (1 - (-1 + -36)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - 2*y**2 - 5*y - 2. Let j be z(-1). Suppose 3*x + 162 = 3*k, k = -8*x + j*x + 34. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5318 - 0.1318. What is the second biggest value in q, 5, -96, -1, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/(q*q*q**(-5\/2)*q))**7*q\/(q**3*q)*q*q\/(q*q\/(q**(-2)\/q))*q*q*q*q**(-2\/3)*q**(1\/3)*q assuming q is positive.\nAnswer: q**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(57)\/sqrt(3) - sqrt(19) - 5*(sqrt(19) + -2))**2.\nAnswer: -90*sqrt(19) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -4042?\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40127 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 11. Let z = -14 - -7. Let l be z*(2 + -1) - 1. Let d be x(l). Solve -4*u = d - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13352 divided by 15560\nAnswer: -1669\/1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide (-8)\/(-22) - 64009530\/(-4290)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 4*m - 4*m - 9*m + 2*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*z + 4*a, -17 = -3*z - z - 3*a. Suppose -3*v + 2 = -z*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 25 = 14. Calculate the remainder when 4*-2 - (-5000)\/25 is divided by w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10048467 and 50622?\nAnswer: 20096934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 20*w - 82. What is the units digit of c(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8 + 3)\/(-5))\/((-1)\/(-756)). Suppose 3*p + 67 + 941 = 4*f, -3*f + s = -p. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5 + 25*c**4\/4 + 5*c**3 - 65*c**2\/2 - 50*c - 115. Factor a(w).\nAnswer: -5*(w - 5)*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089608 to three decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4144 + -10?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -318 + b56?\nAnswer: 83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252973966 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 17 - (-3 + 4 - 2 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by 82\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (2 + sqrt(200) + -5 - sqrt(200))**2 - -2*(2 + sqrt(200)))*-5*-2 + -3.\nAnswer: -53 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34719 + -19960. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4.247, -0.2, -2.\nAnswer: -2, -0.2, -0.1, 4.247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*a + 320, 5*r - 7*r + 128 = -3*a. Let t = r + -35. What is the greatest common factor of 87 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 4}. Give prob of picking 2 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(70\/15))\/((-10)\/(-20)). Solve -5*r - 35 = 3*a, a + 27 = -y*r - 2*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 3*v - 80 = 0. Let g be -60*(2172090\/(-18) + v). What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l + 6. Let q be v(-6). Suppose -r = -5, -981 = 4*g - 2*g + 3*r. What is the remainder when g\/q + (-4)\/18 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5*155\/(-1). Suppose 2*y = 51 + h. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 + 9*m - 1. Let q be c(8). Let u(g) = -q*g**2 - 2*g**2 + 3*g**2 + 5*g**2. Let o(k) = 25*k**2. Calculate u(o(n)).\nAnswer: -625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let c = -1 + j. Let q = c + 2. What is the biggest value in -5, 5\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*l - 37 + 762*l**2 + 18 + 6 + 16 - 24*l wrt l.\nAnswer: 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2400046 and 82423.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001927?\nAnswer: 3, 667309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -2 + 3 + 496. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 27*v**2 - 4*v + 24*v**2 - 49*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*(-6)\/(-4). Suppose -n = 4*n + 4*t, -s*n + 4*t = -40. Solve -n*c - 10 = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 + n**2 - 129 + 11*n - n**2 + 2*n**3 - 137.\nAnswer: 2*n**3 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 949\/26)*(-24)\/(8\/(-2))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -605 (b) 0.0339 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 36, 55, 74, 93?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.54 in 46.7, 0.11, -4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2474817, -9899261, -22273341, -39597063, -61870433, -89093457, -121266141?\nAnswer: -158388491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -5, 200, 0, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 980 and 348?\nAnswer: 85260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 280*r - 2*r**2 + 50 + 280*r as p + b*r**2 + o*r and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063*l**3 + 2138*l**3 - 1018*l**3.\nAnswer: 57*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l - 6. Let t(p) = 3*p + 14. Let q be t(-8). Let o = q + 7. Is w(o) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115*k**2 + 32*k - 32*k)*(-5*k - 2*k - 10*k) to a*k**2 + q*k + j*k**3 + x and give j.\nAnswer: 1955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/30 - z**4\/9 - z**3\/9 + 2*z**2\/3 + 7*z. Factor v(c).\nAnswer: 2*(c - 2)*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10763038, 21526063, 32289088, 43052113, 53815138, 64578163?\n\"Answer: 10763025*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**4 + 1666*r**3 - 211*r**2 - 18528*r + 20 wrt r.\nAnswer: -60*r**2 + 9996*r - 422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 - -185. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 + 6*p. Let t be w(-5). Let i be 176\/18 + (-28)\/(-126). Calculate the highest common divisor of i and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 + 2*z - 7. Let b(c) = -c**2 - c - 1. Let f(r) = -4*b(r) + v(r). Let p be ((-20)\/(-6))\/(-5 + (-26)\/(-6)). Does 15 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -111 (b) -8 (c) 3 (d) -0.078 (e) 4 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-60 + 149 + -100)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 22*x**2 - x. Let t(i) = 18850*i. Calculate t(j(p)).\nAnswer: 414700*p**2 - 18850*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h + 3. Let w(l) = -4*l. Determine u(w(c)).\nAnswer: 52*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482304.\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*5*(-270)\/12. Let k be (4\/(-10))\/((-288)\/x). Let a = -183\/176 + k. Calculate the common denominator of 50\/3 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 74 = -3*h - 0*h, h = -3. Differentiate p + 3*v**4 + 18 - 26 wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 9*n - 27. List the prime factors of v(10).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 + (-1)\/(4\/8). Let s = 16 - x. Suppose 0 = 4*u + d - 91, -4*u - s*d = -d - 94. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6266 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2 + 5*u. What are the prime factors of p(-6)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*j = 17*j - 23*j + 1635 + 6729 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 10, r: 2, h: 3}. Give prob of sequence rpmh.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -141. Suppose -35 = -v*g + 40. Calculate the remainder when 197 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - (1 + -10 - (-40 - -60)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 2. Let p be r(2). What is the smallest value in -4, 0.4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18739\/1788 - -46\/447. Find the common denominator of h and -17\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfec when four letters picked without replacement from effeeffewcsfzcfweeff?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let k(a) = 8*a + 25. What is -k(g) - 6*z(g)?\nAnswer: -8*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382569067 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 67*x**2 + 9*x + 13. Let v(p) = 34*p**2 + 4*p + 8. What is -4*q(a) + 9*v(a)?\nAnswer: 38*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 337 = 342. Sort -2\/13, b, -0.4.\nAnswer: -0.4, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {c: 4, f: 4, a: 2, w: 3, e: 1, d: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28506 + 28498. Let z(u) = 23*u + 189. Calculate z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 + 142845*i**2 + 9411435*i + 155198835 = 0 for i.\nAnswer: -28503, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7539049 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 11) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -80. Suppose 8 = -3*f + 20. Suppose 6 = -2*o - f. Which is the closest to -0.1? (a) i (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -28*k**2 + 702*k - 3430. Give a(8).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 14*c**2 + c - 14. Let r be g(15). Suppose 262 + r = 8*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599767187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3908\/11 (b) -1\/4 (c) 1\/3 (d) -3 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/4)*b*b*b*b)**40\/((b*b\/(b*b**10\/b))\/b*b**(-3)*b*b) assuming b is positive.\nAnswer: b**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 283*l - 97. Is y(12) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**4\/6 - 9*n**3\/2 + n. Let h(a) be the second derivative of a**3\/3 + 32*a + 17. What is w(h(v))?\nAnswer: -8*v**2 - 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = 19*o - 4*g - 20, 4*o + 12 = -2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4*4)\/((-2)\/12). Let b be (-4 + 29)*(-3 + 57\/15). Suppose 5*v = -b, 2*o - 4 = -2*o - 5*v. Solve 3*s - o = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2*p**2 + 0*p**3 + 119 + 2*p**3 - 17*p**3 - 5*p**3 to the form l + u*p + k*p**2 + c*p**3 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 0.4, 33\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/17 (b) -2 (c) -6 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f - 23 - 84 = 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -525 (base 8) to base 3\nAnswer: -110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + -19 + -8)*((-120)\/16 + (-12)\/(-3)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*f**4*o - 195*f*o + 22*o + 2201 wrt f?\nAnswer: -420*f**3*o - 195*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 + 0 = 0. Suppose 2*m + y*m - 10 = 0. Suppose 10 = -2*j - 5*v, -6*j = -j + 3*v - 13. Solve -m*a = -j*a + o, 0 = 4*a - 5*o + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152270 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10806172 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40738, 81620, 122598, 163690, 204914, 246288, 287830, 329558?\nAnswer: 371490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 1085.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**3 + 4*o**2 - 3. Calculate q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 819 and 18963.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17795882 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/10 + (-27)\/45. Let r(v) = -4*v**2 + v**2 - 4*v**3 + 2*v + 3*v**3. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162))\/(-3*sqrt(294)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 134 = 5*t - 91, 4 = -4*t. Suppose q = 2*o - 18. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.8 + -39. Let z = b + -0.9. Let p = -3.934 + z. What is p rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - -75) + (-6 - -50 - 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8184236370*h - 8184236370*h + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20213 - -2?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oryp when four letters picked without replacement from frpoyfrffyrff?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2. Let h(f) = 19854232*f. Calculate x(h(y)).\nAnswer: 1576762113239296*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 55.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 0.31. Let i = -61.6 + 61.2. Let y = 1 - 0. Put 5\/6, y, i, j in descending order.\nAnswer: y, 5\/6, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + g + (24 - 10 + 23)*(-6 - 2*g + 6) - 3*g + 2*g + 3*g to the form u + w*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03068691 - -20.30067891. Let a = 20.2 - p. Let z = -0.07 - a. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m**3 - 10553*m**2 - 124*m**3 + 69*m**3.\nAnswer: 11*m**3 - 10553*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -316*t - 13 + 330*t + 14. Let k = 5 - 6. Give q(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6341*f**2 + 4775 wrt f?\nAnswer: -12682*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*z - 0*z + 372 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -614, -614, -620, -638, -674?\n\"Answer: -q**3 + 3*q**2 - 2*q - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/15 - l**4\/3 + 7*l**3\/6 + 18*l**2. Let g be b(-5). Let c = -48 - g. Solve c*k - 4*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Suppose 2*h + 3*h - 355 = w. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*((-74)\/1045 - (-40)\/(-220)). Which is the third smallest value? (a) -0.5 (b) m (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 29*p**4 - 94*p**3 + 64*p**2.\nAnswer: p**2*(p - 2)*(p - 1)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 431925493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i**4 + 158*i**2 + 277*i - 439. Let r(u) = -15*u**4 + 159*u**2 + 276*u - 438. Let c(n) = -6*p(n) + 7*r(n). Solve c(l) = 0.\nAnswer: -6, -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.1132779?\nAnswer: 0.5663895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6659, 1, 86 in decreasing order.\nAnswer: 6659, 86, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868 is divided by 169?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3022 by -122.\nAnswer: -1511\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49462076887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 158 = 641. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/7 + 64*t**3\/7 - 498*t**2\/7 + 108*t = 0.\nAnswer: 0, 2, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105, 207, 309?\n\"Answer: 102*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/(-40) + -8)*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 0*n**4 + 5*n**3 + 5*n**3 - 2*n**4 - 5*n**3 + n**2 as i*n**3 + h*n**2 + o*n + w*n**4 + c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 0.5. Let w = 10.3 + b. What is w rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**34*(i**(-2))**(-3\/20) assuming i is positive.\nAnswer: i**(-337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30670787819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = b, -2*b - 20 = -0*b + 5*q. Let k be 8\/(-7) - b\/5. Factor 4\/7 + k*y + 2\/7*y**2.\nAnswer: 2*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**2\/23 - 259758*b\/23 - 37108\/23.\nAnswer: -2*(b + 18554)*(7*b + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, -12, 18, 0, -3, 1 in decreasing order.\nAnswer: 25, 18, 5, 1, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281204004 is divided by 154000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/20 - 13*s**4\/6 + 13*s**3\/6 - 25*s**2\/2 + 45*s. What are the prime factors of w(26)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgxkgkgnkjfn. What is prob of picking 1 k, 1 n, and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 573 + -2863\/5. Sort l, 2\/21, -14, 0.\nAnswer: -14, 0, 2\/21, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773434, 3546784, 5320132, 7093478?\nAnswer: 8866822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -10?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21))\/(10 - 3120\/315)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7081\/2696 - 1\/674. What is the nearest to -29\/2 in -1, 0.5, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3685816 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -433 divided by -26119\nAnswer: 433\/26119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from zzuzuuuzzulzl.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.5 (b) -0.4 (c) -5 (d) -19 (e) 2\/7 (f) -3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 2. What is the units digit of ((-105)\/z - -3)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742 = 9*s + 44*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-23)\/115)*-8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -376, -577, -788, -1015, -1264, -1541, -1852?\n\"Answer: -j**3 + j**2 - 197*j - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 919 and 916 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**2 - 8*i + 3. Let b be x(1). Suppose -b*s = 41 - 1041. Calculate the remainder when 490 is divided by s.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(405) - (sqrt(405) + 0))*3)**2*5*-4 + 0)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -13. Is (-957)\/(-44)*(-20)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 + 0 + (-12)\/(-4). Suppose 86 - 30 = f*y + 3*d, y - 6 = 2*d. Suppose 8*c - y*c + 162 = 0. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17*m**2. Let c(k) be the first derivative of -k**2 - 4. Determine i(c(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*m + 691*m = 58580. What is the highest common factor of m and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*n = -21, 140*b - 143*b - 3 = -2*n. Let m(d) = -10*d + 3. Calculate m(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 95?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(204))\/((sqrt(300) - -1*sqrt(300)) + sqrt(300) - sqrt(12)).\nAnswer: 9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + 5 + sqrt(208) + sqrt(208) + -1*(sqrt(208) + sqrt(208)*1) + -3*sqrt(208)*5 + 0)**2.\nAnswer: -560*sqrt(13) + 40793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 11*t = 3. Let b be 75\/10*4\/t. Suppose d = 3*h - b, -2*d + 3*d + h = 2. Is -3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 3*a, -5*a - 5*j - 20 = -10*j. Let l be a\/(-10) - (-130)\/(-75). Are -1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 20. Let o be w(5). Let t(m) = -o - 61*m + 0*m**2 - 2*m**2 - 1 + 22*m. What is the units digit of t(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*b - 0*b + 10, 0 = 5*v - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - 6*z - 7. Let y be m(-3). Let d be 8\/(-44) + 3137\/y. Suppose -360 = -5*f - 5*l, 0*l - 5*l + d = 4*f. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -46170*k + 323279. Give j(7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 2395*l**3 + 4*l + 587*l**3 + 592*l**3 + 624*l**3 + 600*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*d + 4*d + 26, 3*p = -d + 18. Let b be d\/2 - (0 + 251). Round b to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -26, -40, -54?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 213 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/2)*a**29)\/(a**(-3))**(-42) assuming a is positive.\nAnswer: a**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 7*j + 76 = 0. Let y(x) = x**3 + 2*x**2. Let w(t) = 2 + t**2 - 2. Calculate j*w(b) + 2*y(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 4, 6, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 200*x**2 + 263*x + 3. What is the remainder when v(-2) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89.792812 - 89.8. Round p to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -154. Suppose 0 = 4*l + 5*s - 2*s + 4, -3*l + 4*s = 28. Is j less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74640426 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*b - 17, -b - 115 + 136 = 5*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) -2\/3 (b) 1.22 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17331, -15714, -14097, -12480, -10863?\n\"Answer: 1617*n - 18948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*20\/(-6) - 2640\/330?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 1463 = -3*y. Is 5\/(-10)*(y - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 3 - 2)*(0 + 0 + 2) + 888 + 707 - 476)*(-2*l + l - l) to the form c*l + v and give c.\nAnswer: -2246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*x = 9, 3 = -h + 2*x + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.682835kg in nanograms?\nAnswer: 9682835000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.06971476\nAnswer: -0.013942952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5538.638 to zero dps.\nAnswer: -5539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let p(x) = 5*x**c - 4*x**2 - 2*x**2. Let w(v) = -9*v**2 + 6*v. Let g(z) = -26*z**2 + 17*z. Let i(m) = -6*g(m) + 17*w(m). What is i(p(s))?\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -7. Let l = 8 + -12. What is the remainder when (-140)\/(-15) + l\/(-6) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 50 (c) 2984 (d) -0.646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.03, 5, 2\/3 in ascending order.\nAnswer: -0.03, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y. Suppose 5*h = 2*z + 26, 5*z + 15 + y = 0. Suppose 4 = 4*r - h. Sort r, 4, 6 in descending order.\nAnswer: 6, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 5)*(0*d**3 - 3*d**3 + d**3) + 2*d**3 + 0*d**3 - 4*d**3 + (0*d**2 + 0*d**2 + 2*d**3)*(0 - 2 + 0) + 1793 - 1793 - 209*d**3.\nAnswer: -199*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -479. Is 37 a factor of ((-24)\/30)\/((-2)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 7. Let f be s(0). Let i(l) = 13*l**2 + 5*l + 97. List the prime factors of i(f).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - 2*-1. Suppose -10 = -93*o + 91*o. Let p = -5 + 5.3. Which is the closest to -1\/7? (a) o (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 375857895 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-11)*(-627)\/(-38) - (-7)\/(-4). Which is the biggest value? (a) n (b) 0.1 (c) -5\/2 (d) 3 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5244 + 14044?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*q = -9 + 6, -15 = 5*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -363 - 156124\nAnswer: -156487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803844 to the power of 1\/2, to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11454, 11456, 11460, 11466, 11474?\n\"Answer: r**2 - r + 11454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:41 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let l = c + -6. Let d(w) = -2*w - 3. Let h be d(-2). Sort 2, h, l in ascending order.\nAnswer: l, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212344818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.67 - 24.1712. Let o = m - -0.5. What is o rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (4 + (-8 - (-130 + 1 - (23 - 10)))).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 8*b. Let o(l) = 71*l**2 + 4*l. Let a be o(1). Suppose 40 - a = -5*r. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 363*y**5 - 1002837*y**4 + 856930944*y**3 - 211144373508*y**2 - 76864781184*y - 6990283776 = 0. What is y?\nAnswer: -2\/11, 427, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/120*(-6)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 729, 3 in ascending order.\nAnswer: -1, 3, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4*v + 9 - 15.\nAnswer: -3*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0.15, 0.1, -5\/6, 5.6, 1049?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 21.4. Let t = 18.6 - c. Let a = -17.5 + t. What is the biggest value in -2\/9, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-2\/5)*p**(-2\/31))**(-1\/3)*(p**(-2\/9)\/(p\/(p\/(p\/p**(1\/3)))))\/(p**6*p**(1\/3)) assuming p is positive.\nAnswer: p**(-11161\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c + 18*c**3 + 7*c**3 - 368*c.\nAnswer: 25*c**3 - 240*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (516\/(-65))\/2. Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-2))\/(44\/(-264)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2645 = 4*z + 449. Suppose -1479 = 4*j + j + 2*g, j + 303 = -4*g. Let m = z + j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k - 50*k + 462 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(5*c - 2 + 2)*(0 + 0 - 1 - 3 + 0 + 1 - 2 + 0 + 0 + 1 - 3 + 4 + (-3 + 1 + 0)*(5 + 1 - 5)).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/424 and 9\/15317.\nAnswer: 122536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/32)\/(276\/8).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 greater than or equal to -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 16. Suppose 165*a = 171*a - 462. What is the highest common divisor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.02874, -3.\nAnswer: -3, 0.02874, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -321088 divided by -321088?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 236124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15146, -60492, -136260, -242606, -379686?\n\"Answer: -26*v**3 - 15055*v**2 + v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1669, 512, 2693, 4874, 7055, 9236?\n\"Answer: 2181*r - 3850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-8)*p**7*p)\/(p**0)**29 assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -537419*r**5 - 8*r**4 + 1151714*r wrt r?\nAnswer: -10748380*r**3 - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**7\/504 - q**6\/360 + q**5\/60 - 4*q**4\/3 + 9*q**2 + 3. Let h(y) be the second derivative of n(y). Calculate h(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -77. Let q = -1362956 - -1362912.999963. Let f = q + g. Round f to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.995 + -3.32. Let z = l - -0.1085. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 - 354 = 479*p + 2*f - 210, -5*p - f = 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pexsxsyxysyxx. Give prob of picking 1 e and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/18 - 25\/(-15). Suppose -3*p = 4*p - 2*p. What is the third smallest value in 6, p, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 89 = 4*c + 17, -162 = -4*m - 5*c. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262036730 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.4 from 36647870693.\nAnswer: 36647870690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Let w be (-1 + 0\/y)*4. Let x be ((-6)\/(-8))\/((-2)\/14). Is w greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1539 = b, -b - 5*o - 1533 = -0*b. Let c = b + 12305\/8. Find the common denominator of 69\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -544*q + 794*q - 639*q to r + g*q and give g.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/3))**(-28\/5)\/(f*f\/(f\/(f*f**0))*f\/f**5) assuming f is positive.\nAnswer: f**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Suppose 3*o - 21 = -18, -5*b + 3*o = -57. Suppose 104 = 14*n + b*n. Which is bigger: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.655127 millimeters to nanometers.\nAnswer: 8655127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6446106 and 30.\nAnswer: 32230530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = -23*k + 14. Let i be (-27 + k)*2\/(-2). Let a = i - -28. Which is smaller: a or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -9.1, 0.3, 8, -2\/5, -1.4, -2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*w**2 - 5096*w - 928 = 0. What is w?\nAnswer: -2\/11, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*a = 0, 3*a = -h - 16 - 4. Let m = 5 + h. Is 8*3 - (2 - m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2620*o - 2592*o - 32 + 4 = 0. Which is the second biggest value? (a) -2 (b) o (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 2*o + 123. Calculate the remainder when c(-9) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4307*b + 3*b**2 + 8 + b**2 + b**3 + 4301*b + b**2. Suppose 0 = -0*s + s + 6. Let v be j(s). Calculate the greatest common divisor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 15, -2, 4, 70 in descending order.\nAnswer: 70, 15, 4, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/297 - -11866\/2079. Let n = 38\/7 - m. Do 4\/21 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2519558\/15 != -167971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 3*j + 4. Suppose -5*i + 10 = -5. Let k be z(i). What is the third biggest value in -1, k, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98, 125, 152, 179, 206, 233?\n\"Answer: 27*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + -3*((1 + sqrt(68)\/sqrt(4) + sqrt(17))*1 + 1)**2)*-5.\nAnswer: 120*sqrt(17) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 5. Suppose 5*r = -51 - 309. Let u = -51 - r. Solve -3*v = -3*n + u, 3*v - 14 + 0 = -a*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 938*p - 32332 + 8757 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((1232\/(-21))\/((-10)\/(-6)))\/((-15)\/((-2175)\/58))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w**2 + 762*w**2 - 91*w**2.\nAnswer: 733*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186 + -4?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 19434.\nAnswer: 19434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 7. Let k(v) = -24*v**2 - 217. What is i(k(y))?\nAnswer: 72*y**2 + 658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b - 63. What is v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510784 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7215 times 2?\nAnswer: -3.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31604?\nAnswer: 2, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 57 = -51. Let a(w) = -4*w**2 - 46*w - 3. List the prime factors of a(i).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/13)\/q)**(2\/91))**16)**(-28) assuming q is positive.\nAnswer: q**(1920\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 7\/(21\/6). Suppose z = -0*z + 3*l + 15, g*z - 22 = 4*l. What is the smallest value in -0.3, z, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2420320103 + -2?\nAnswer: -2420320110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -467, -938, -1409, -1880, -2351?\n\"Answer: -471*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4805.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1323 - 250?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19913663.4 rounded to the nearest one hundred thousand?\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1 = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -5471*j**4\/4 - j**2 - 8661*j + 12571. What is the second derivative of k(h) wrt h?\nAnswer: -32826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.1 - 7.4. Let y = 8563 - 8527. Let w = y - t. Which is the closest to 0.2? (a) w (b) -0.1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00201784 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from lwhwnwwhwohnw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9426 - 0.0674. Let v = j - -6.00998696. What is v rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/6 + 909179*t**2\/2 - 5455081*t\/6 - 2727539\/2 = 0. Calculate t.\nAnswer: -2727539, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 182, -0.1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25543, 25533, 25521, 25507, 25491, 25473?\nAnswer: 25453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257 and 1199946107.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467800 + 1197800. Round c to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 0, v - 5*s = -2 + 3. Let r = v - -11. Let h(w) = -4*w - 1. Let z be h(1). Put z, -4, r in increasing order.\nAnswer: z, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281906 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1023*q**3*t**2 + 7*q**3 + 6*q**2*t**2 - 5*q**2 - 377 wrt q?\nAnswer: 6138*t**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {v: 7, m: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose -4*u = -5*a + 18, u - 3 = -o. Suppose -282 = -20*l - 2. Calculate the lowest common multiple of a and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -2) + (-2 - -85). Suppose -j + z = 27. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/50 and -43\/350740.\nAnswer: 1753700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 137*l - 144*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 2*b - 3*b)*(-5*b + 6*b - 4*b)*(1 + 2 - 1) to the form g*b**2 + h*b + z and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 3*s**2\/2 - 2. Let n(t) be the first derivative of t**4\/4 + 8*t**3\/3 + 3*t**2 - 5*t + 6. Let q be n(-7). What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16654, 16575, 16398, 16075, 15558, 14799?\n\"Answer: -8*p**3 - p**2 - 20*p + 16683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.04.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 5. Suppose 0 = 5*t + 37 - 12. Let c be g(t). Suppose c*f - 5*f + 111 = 3*l, -2*f = 2*l - 46. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*a - 190*a - 20*a**2 + 54 - 225*a**3 + 228*a**3 = 0. What is a?\nAnswer: -3, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-435)\/(-10))\/((-6)\/(-16)). Calculate the common denominator of c\/(-12) + 1 + (-18)\/(-12) and -13\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4741df (base 16) to base 5.\nAnswer: -2143414134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = 20. Let o be ((-350)\/z)\/(-2 + 1). What is the derivative of 4 - o*t + 9 + 46*t - 1 wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b + 2*b**2 + 15*b + 4*b**4 - 5*b**4 to the form v*b**3 + j*b**2 + t + k*b + o*b**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -38534899+-0.022\nAnswer: -38534899.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -0 + 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/148153668 and -167\/1128360.\nAnswer: 1481536680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 10*m + 7*m**2 - m**3 + 4*m - 5. Calculate k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532942 is divided by 76087.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 17*z**2 - 14*z - 51. Suppose -5*u = 3*d - 29, 3*d + u - 4*u - 69 = 0. Let q be n(d). What is the highest common divisor of q and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -2 + -938 + 922 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7852)\/11778)\/(148\/6)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 5, g: 4}. Give prob of sequence gxmg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**4 + 4*g**2 - 12*g - 3. Let d(a) = -a**4 - a**3 - 3*a**2 + 13*a + 4. Let c(x) = 5*d(x) + 6*q(x). Determine t, given that c(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112488641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 613, 747, 881?\n\"Answer: 134*r + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 806 - 2?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23119983\/11 - 2099179. Let c = 2640 - p. Determine q so that 14\/11*q**3 + 2*q**2 + 8\/11*q**5 - 2*q - c*q**4 + 4\/11 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4925 + 3001 + l + 3694.\nAnswer: l + 1770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 11. Let u = o + 6. Sort -5, u, -2\/57 in decreasing order.\nAnswer: -2\/57, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + x**4 + 4*x**4 - 4*x + 4*x + x**4 + (4*x + 2*x**2 - 4*x)*(0*x**2 + x**2 + 0*x**2) - 1 + 1 - x**4 - 9*x**4 + 2*x**4 + 13*x**4.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30278 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1118)\/5 - (14\/35 + 0). Let s = i + 272. What is the smallest common multiple of s and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83714 - 6?\nAnswer: 83708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4 + 5. Which is smaller: v or -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 591*t + 588.\nAnswer: 3*(t - 196)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 121273 = -5*j - 18702, 0 = j - 5*q + 27975. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n. Let j(w) = 8*w. Determine 3*a(d) - 4*j(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233051 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -9 - -17 - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + -8 - (9 - 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 2*f + 1. Let l be r(-2). Which is the nearest to l? (a) 0.09 (b) -0.3 (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 + 0)*(2*f - f - 2*f) - 8*f + 5*f - 5*f)*(-16 + 16 - 2*f).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 53989762 divided by -26994881\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420644212.\nAnswer: 2, 3, 7, 17, 59, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2. Let b(p) = 3606*p. Calculate b(x(k)).\nAnswer: 36060*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 21*x = -994. Suppose x = -5*l - 323. Let s be -3 + (1 - l) + 0. What is the highest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 33*h + 5. Give v(-4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 - 2. Let l(a) = -a**2 + 2*a + 2. Let j be l(d). What is the second derivative of -s**2 - 2*s - s + j*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656164111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -10. Let w = -18 + f. Let g = 5 - w. Solve 2*z + 5 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/13)\/(10\/(-15)*9).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-5)\/((-118)\/(-118)). What is the closest to -18 in -1\/2, s, -4, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 383 + 388 - 796 + 3*z - z. Let p(j) = j. Determine p(b(h)).\nAnswer: 2*h - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 802, 1055, 750, -113, -1534?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5427465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5381\/20 - 1431\/20. Let r = -346 - s. Calculate the common denominator of r and 53\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:43 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1528)\/(-6))\/(1\/(68 - -7)). What is w rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4, 2\/5, -3, 0.174?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.4 * -0.5.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3140)\/(-14))\/1 - (-2)\/(-7). Sort m, 5, 1 in ascending order.\nAnswer: 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - u + 3*u - 4. Let h be q(4). Let c = h - 4. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/(-24)*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(14)*5)\/((sqrt(12)*2)\/sqrt(6)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(786\/(-5))*1349032\/(-10). Let o = 5149 - q. Is o less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59915783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose 0 = -2*y + 4*y - a - 3, -26 = y + h*a. Let k be y\/4 + 6\/(-40). Sort -4, -2, k.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 7:32 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:31 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1634*u**4\/17 + 5118*u**3\/17 + 5550*u**2\/17 + 2282*u\/17 + 216\/17.\nAnswer: 2*(u + 1)**3*(817*u + 108)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327406 is divided by 14882.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3 - m**3 + 0*m**3 + 2 to the form p*m + z*m**2 + t + d*m**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004175 to 4 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99939*y**3 + 89599*y wrt y?\nAnswer: 599634*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5808 divided by 22?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -90*w - 25 - 51*w**2 + 6*w**3 + 3*w - 5 = 0.\nAnswer: -1, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4278 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 7 + -1 + 86 + 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1448.999999259 + 1449. What is o rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1 + -1)*-2. Let r be (5 + 3)*(-2)\/s. Suppose -3*i = -4*o + 10 + 17, -r*o - 3*i = -21. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*t + 19, -15 - 28 = -y - 40 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 6269565?\nAnswer: 6269565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2825098 (base 11) to base 4\nAnswer: -102210113312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*y + 38*f*y + 16*y + 5 wrt f.\nAnswer: 6*f**2*y + 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.05 (c) 5 (d) 59\/6 (e) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1412 + 1415. Suppose -9*l + 72 = -u*l. Let z = 3.2 + -3. What is the third smallest value in -3, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y + 27*o = 12*o + 5*o + 85, 5*o + 36 = -3*y - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeeieeeijijeois. Give prob of sequence oi.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301303 - -31200?\nAnswer: -210103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3999*q - 6*q**3 - 3999*q.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 + 290*o + 94. Determine x(-48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.84 - 0.74. Let d = -0.9 - 0.6. Let b = d - -1. What is the smallest value in c, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g - 2. Suppose -4 = -g*q + q. Let n(m) = m**2 + m. Let v(t) be the third derivative of -t**5\/20 - t**4\/8 + 2*t**2. Determine q*n(p) + v(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 9*q**2 - 22*q - 18. Let o(u) = u**3 + 122*u**2 - 244*u + 491. Let g be o(-124). What is m(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 4, -6.245, -4?\nAnswer: -6.245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**2 + 4080*f - 24300 = 0.\nAnswer: 6, 810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (38\/285*-25)\/(3\/(40374\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - (-46)\/10)*5 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8\/36*(-27)\/(-18)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 3. Let d = 1 + -1. Let a(r) = -r**2 + r - 5. Let j be a(d). Calculate the remainder when 34 is divided by n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 5\/(10\/(-4)). Let a be (3\/l)\/((-4)\/24). Let j(r) = -11*r - 2 - r**2 + 0 + a + 4*r. What is j(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(7\/5 - 1). Calculate the remainder when 14\/z + (-326)\/(-10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 + 30*o - 25*o - 5*o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921633303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006373524 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wpvcplpwwkpw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c96 - -1?\nAnswer: 1c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -210230112312?\nAnswer: -210230112302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 8 = -13*h + 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -25. Let x = y - -21.5. Round x to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twwt when four letters picked without replacement from {w: 4, t: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 11*l**2 + 13*l + 13. Let t be k(-4). Sort -1, t, 4 in decreasing order.\nAnswer: t, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 4*i**2. Let f = -5 + 4. Let c be f + (-3)\/((-2)\/(-2)). Let k be r(c). Solve -5*h + 13 = 3*t - 1, k = -3*h - t + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 17*m + 3. Give l(-14).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2758900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 68. Suppose x - 15 = 4*x. Let j = 1 - x. What is the remainder when q is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-10)*(4 - -11). Suppose 0*m = -4*m + n. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:00 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1153164*2.\nAnswer: 2306328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31316, -62081, -92846, -123611, -154376, -185141?\n\"Answer: -30765*a - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**8\/210 - q**5\/12 + 7*q**3\/2 + q. Let j(h) be the second derivative of f(h). What is the second derivative of j(c) wrt c?\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4725180 and 90?\nAnswer: 4725180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200954 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38, 3, -8456 in decreasing order.\nAnswer: 5, 3, -38, -8456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-3))\/((-52)\/16 + 3). Put -15, m, 5 in ascending order.\nAnswer: -15, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16ac4 + -2?\nAnswer: 16ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3365, 6690, 10015?\nAnswer: 13340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:20 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9302*g + 9293*g + 87264. What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*q + 1 - 1)*(q + q - 3*q) - q**2 - 5*q + 5*q)*(1 - 5 + 76*q - 74*q) to a*q**3 + p*q + d*q**2 + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -926*l**5\/3 + 24998*l**4\/3 + 218644*l**3\/3 + 100952*l**2\/3 - 1258928*l\/3 - 5440\/3 = 0. What is l?\nAnswer: -5, -4, -2\/463, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15956 - 0.04044. What is the closest to -2\/11 in -0.9, 1.2, 2\/19, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97350998729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/744759 and 38\/4385803?\nAnswer: 39472227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l + 4. Let u be b(7). Suppose y - 15 = -u*y. Suppose -6 + 21 = y*r. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -108, -164, -220?\n\"Answer: -56*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 702 + 9518. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 225. Let g = h + -115. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951903921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 137. Let o be (7 + h)*28\/12. Solve 0 = 5*m + f - o, -m + 4*f - f + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 9*i**2 + 7*i - 6. Let m be o(-8). Suppose 154 = 4*b + 2*s, 3*b + 5*s - 114 = m*s. Suppose -5*z - 9 = -b. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 - (0 + 4))) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 4. Let y = -0.09 - 0.31. What is the third smallest value in -5, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 338*l**4 - 2608*l**3 - 5152*l**2.\nAnswer: -2*l**2*(l + 4)**2*(l + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and (1 - -2) + 12 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27728.661ns in minutes?\nAnswer: 0.00000046214435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 81 = 90, -5*r + 25 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251*i**4 - 4*i**3 + 2*i**2 - 754*i + 3?\nAnswer: 3012*i**2 - 24*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = -4*s, 0 = 2*s - 17 + 23. Suppose h*c = -12 + 68. Solve -c*i + 7 = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:54 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d - 422694430 + 422694430. Let r be (1\/(-3))\/(5\/(-75)). Let u(o) = -12*o. Give r*u(v) + 6*a(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247 + 380?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*y - 23*y + 5596. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from zooa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 221 = -5*w, -13*w - 33 = -14*w + 2*g. Suppose 0 = 2*c, 2*c - 271 = -2*m + w. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f**3*o + 15449*f*o - 3068335*o wrt f?\nAnswer: -27*f**2*o + 15449*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 1, 5 in descending order.\nAnswer: 5, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -7, 0 in descending order.\nAnswer: 0, -1.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -2, 5*p = -s + 19. Calculate the remainder when (-28)\/(-42) + 25\/p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 767746?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021210201 - 1000200?\nAnswer: 10020210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483 - 463. Solve 25*w + 20 = m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w - 59499 + 61776 = 0 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3626 = -6*y + y, -2*y + 1448 = p. What is the highest common factor of 66 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -698 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}