diff --git "a/data/dm_maths/full_data/10804_11255.jsonl" "b/data/dm_maths/full_data/10804_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10804_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Add 0.3 and 33691408.\nAnswer: 33691408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10244\/(-23049))\/(2\/(-180)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(95\/25 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 79 = 37. Let o(g) = g - 2. What is o(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -12, -26, -44?\n\"Answer: -2*r**2 - 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*n + 4, -2*n - 10 = -r + 2*n. Find the second derivative of 0*q + r*q - 3*q + 3*q**4 wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19368398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let a(w) = 21*w + 27. Give -2*a(h) - 54*x(h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*h + 24 = 0, -3*m - 2*h + 33 = -11. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - w = -21, -128*w - 9 = 5*j - 132*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -269, -263, -267, -281, -305, -339, -383?\n\"Answer: -5*m**2 + 21*m - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -35, -4, -1, -2, -163 in decreasing order.\nAnswer: 134, -1, -2, -4, -35, -163","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 5325 = -5*v - 5373, -7*p + 3 = -2*v - 6*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Suppose 5*p + 10 = 0, -b + p + 2*p + 8 = 0. Suppose b*l - 3*l - 4 = 0. Let y be j(l). Sort y, 0, 1 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5\/2 - 933*t**4\/2 - 106130*t**3 + 1291506*t**2 + 15702496*t + 25397376 = 0.\nAnswer: -472, -6, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = 101*t - 12*t - 3564 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 41?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 + 1 = 0. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 423, 1032, 1643, 2256, 2871?\n\"Answer: f**2 + 606*f - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243992 is divided by 121991?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {u: 1, z: 1, p: 2, j: 1, q: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327.487 + 0.313. Round k to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*j + 2*j - 155, 0 = -2*x + 4*j + 128. Let k = 326 + -323. Suppose -k*i + 524 = -x. Calculate the greatest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - 25299\/(-81). Calculate the highest common divisor of t and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20587, 20579, 20565, 20545?\nAnswer: 20519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvpvpkppvpkpppkpppv. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10)*(11 - 6). Let y(r) = r**3 - 2*r + 7*r**a + r - 1 + 7*r + 2. Calculate y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 49, 10, -29?\n\"Answer: -39*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88773 (base 9) in base 3?\nAnswer: 2222212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 122.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 13*d - 13. Suppose 4*x + 2 = 10. Suppose 4*r = x*r + 12. Let a(p) = -p**2 - 6*p - 6. What is r*u(m) - 13*a(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**5\/2 - 25*j**4\/2 + 715*j**3 + 3450*j**2 + 1980*j = 0 for j.\nAnswer: -6, -2\/3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 760*m**2 + 82492*m - 1828928.\nAnswer: -4*(m - 41)**2*(m + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4379 = -299*q - 190*q - 1978 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117.5576 + -0.4424. Let s = 132 + -249. Let a = s - y. Which is smaller: 9\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137064 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -8 + 32. Put -1, 2, c in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7476\/(-504) + (-266)\/(-19)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p + 66*p - 142*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -211 in descending order.\nAnswer: 2, 0.4, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/4 - 27*k**4\/4 - 21*k**3\/2 + 51*k**2\/2 + 45*k\/4 - 75\/4 = 0. Calculate k.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 852 - 397. What is the greatest common factor of 35 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42296 + 107222. List the prime factors of s.\nAnswer: 2, 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 116*m**2 + 119*m**2 + 2*m - 2*m.\nAnswer: 3*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - -83) + 16 + -37\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Suppose -4*s + l = -125, 29 + 1 = s + l. Let u = s - 1. Let x be (-94)\/u + (-2)\/(-15). Determine d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334 + 347. Suppose -f + 21 = h. Let a(g) = -g**3 + 7*g**2 + 6*g + 11. Give a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 670?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 9. Let q = 263 - d. Suppose 3*a - q = 22. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*h - 1 + 1 - 0. Put 14, -1, -7, h, -3 in decreasing order.\nAnswer: 14, h, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31780293535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361031 (base 9) to base 2.\nAnswer: 110101000010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18110517 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 904671, 904664, 904647, 904614, 904559, 904476, 904359?\n\"Answer: -h**3 + h**2 - 3*h + 904674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:03 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(147) + -1*-1*sqrt(147))*6 + -1)*-6.\nAnswer: 120 + 2016*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 30. Suppose 0 = -4*t + 2*v + 16, -v + 5*v - n = -4*t. Solve 25 = 5*c - 0*z - 5*z, 2*z = t*c - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 28684541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 3689?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4760 + 4758. Sort -4, -1, 1, -1\/3, t in descending order.\nAnswer: 1, -1\/3, -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:26 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12342, -49186, -110536, -196392, -306754?\n\"Answer: -12253*q**2 - 85*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 5*l**2 - 65*l - 126. Give h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 3*t**2 + t + 2. Let j(f) = -f**2 - f + 4. Let d be j(2). Let y = -18 + 29. What is the remainder when y is divided by u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43687, 87371, 131055, 174739?\nAnswer: 218423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:57 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuluuullllullm. Give prob of sequence uluu.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-1)\/12*(-20)\/(-50).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o - 1. Let f(p) = 8*p**3 + 11*p**2 + p + 4. Let i(d) = -f(d) - 4*s(d). Factor i(m).\nAnswer: -m*(m + 3)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.118 (c) 1\/3 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*f - 50, 4*v - 6*v + 2 = 0. Suppose f*k = 4011 - 667. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.211 times 0.023?\nAnswer: -0.280853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + y = 3*q - 6, 4*y + 16 = -2*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -5 (c) -3\/5 (d) -3 (e) -0.05 (f) 1\/5 (g) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 44*b**2 + b - 50*b**2 in the form z*b**2 + i*b + x and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 - 383*l**2\/3 + 769*l\/3 - 385\/3.\nAnswer: -(l - 1)**2*(l + 385)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1180, -2359, -3538?\nAnswer: -4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295 a factor of 297504690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 5*u. Let k = 3 - 1. Let q(c) = -4 - 2*c**k + 6*c - 3*c**2 + 4*c**2. Let n be q(6). Calculate r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 338?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*j + 21 = 352*j + 5*z, 2*j = -17*z + 66 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d + 60 + 12. Let z(b) = b**2 + 4*b - 9. Calculate z(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 12*y - 22. Let h be (-1 + (-13)\/(-3))\/(1\/(-3)). Does 6 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -2\/11, 2\/5, -4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (20 + 16)) + 8 + (30 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2\/(-3))\/(20\/90). Suppose -o*z = -6*z + 36. Solve 0*s = 4*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3375 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -883 - -883. Let b + 0*k + 8\/3*k**2 - 12*k**3 = 0. Calculate k.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3 = -r - 4*g, -4*r - g = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1.2, -702?\nAnswer: -702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 791*z + 3239. Determine m(-154).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36086504 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - (-3)\/1) + (-24)\/(-10). Suppose 0 = -2*w + 4*m + 4, -5*w - 43*m = -42*m - 10. Factor -2\/5 + r*y**w + 0*y.\nAnswer: 2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3 + 3. Let o = n - -54. Let j(m) = m**3 + 19*m**2 + 19*m + 30. Let l be j(-18). What is the greatest common factor of l and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 8) + -22 - (3 + -40 + 52)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 22352*l**2 + 44692*l + 22344.\nAnswer: 4*(l + 1)**2*(l + 5586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 13*i**2 + 12*i + 36. Is 5 a factor of h(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6*u = 2*u - u + 8*u - 3, 17 = -2*y + u for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186.612 - -100.933. Let i = -83.6 - h. Let u = i - 0.079. Sort -4, u, -3, 2\/15 in ascending order.\nAnswer: -4, -3, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 15*w + 47. Let t be 268*(-9)\/(-468) + 4\/(-26). Let j be k(t). Put 4, 61, j, -1 in descending order.\nAnswer: 61, 4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*o**2 + o**3 + 1 - 39*o**2 + 3*o - 45*o**2 in the form t*o**2 + d*o**3 + b*o + w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 4. Let p be (-28)\/k - (-3)\/9. Find the second derivative of 6*d**5 - 3*d**2 + 12*d + 3*d**2 + d**p wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84\/5*t**3 - 21\/5*t**5 + 24\/5*t**2 + 0 + 0*t - 6\/5*t**4 = 0.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 2*t + 1196. Let o be x(0). Suppose j = -3*j - o. Let c = j + 418. List the prime factors of c.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39700 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -351*p - 53319. Determine j(-152).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592725 is divided by 6892?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/132 - -2\/33. Let z = 221 + -220.9. Which is the closest to f? (a) -0.4 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1300) - (sqrt(1300) + -1) - sqrt(1300))**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 5*t**2 - 853912*t + 853912*t. Let u(f) = 174 + 7*f + 8*f - 174. Give y(u(p)).\nAnswer: 2250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 597960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/1 - 1) + (5443 - 5382)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-60)\/8*(-4)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 - j + j)*(645*j + 479*j - 15*j - 71*j) in the form z*j**4 + t*j + n*j**3 + l*j**2 + m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2. Let l(b) = 3*b**2 + 4*b + 1. Let p(a) = l(a) - r(a). Let z be p(4). What is the second derivative of 14*f - 24*f**4 + 23*f - z*f wrt f?\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 9 + -1 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-14))\/(2 + -1). Let q be -3*(-101)\/84 - 2. Let r = q - a. Sort -1, 2\/13, r in decreasing order.\nAnswer: 2\/13, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 - n. Let k(q) = -q**2 - q + 1. Let c be k(-2). Let w(y) = y**3 + 1. Let m be w(c). Let b be z(m). Solve b = -l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 0, -8613?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/49 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 56 = 5*a. What is the least common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/73 and 23\/1825.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45660 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4 = -2*a, -5 = -33*l + 38*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/20 + 5*f**4\/6 + 17*f**3\/6 + 4*f**2 + 154*f. Factor s(v).\nAnswer: (v + 1)**2*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 4:29 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 14) in base 5?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 40\/33423?\nAnswer: 40\/33423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8 and 101\/104844.\nAnswer: 209688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 + j**5\/30 + j**4\/12 - 2*j**2. Let z be u(-2). Solve -z*c = -15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -45. Suppose s*x - 31*x = -36. Let w = 8 - x. Let f(g) = -8*g**3 + 6*g**2 - 6*g - 6. Let j(t) = t**3 - t**2 + t + 1. What is w*f(c) - 6*j(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181127201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 45*i + 33 = 0. Let d = -7 - -2. Suppose -3*w - 8 = -w. What is the nearest to -3 in d, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 24*i**2 - 4*i + 36. Let r be a(24). Is -64 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 + 11?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 816 = 10*q. Let i be (-4)\/(-1 + -11)*q. Let c = 42 + i. Let y(n) = -3*n**2 + 11*n - 14. Let d(r) = -2*r**2 + 7*r - 9. Calculate c*d(v) - 5*y(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-72)\/(-96))\/((-30)\/82) and (-174)\/4 - -1 - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74985598 and 9428?\nAnswer: 4714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = 5*q, -3*a + 19 = -266*q + 262*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1090220 and 4832.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) 0.2 (d) -121.3 (e) 1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/504 - 2*w**7\/315 + 2*w**2. Factor p(v).\nAnswer: -2*v**4*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*i + 427996 = 0, -5*i = 3*y - 95172 + 416182. Round y to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 46. Let y = -30 + t. Suppose -4*n - c = -25, 2*c - 3*c = -5. Solve n*q = q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.941491um?\nAnswer: 4941.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-7)\/1 - -9 - -594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 17, w: 1}. What is prob of picking 3 o?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168168 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 572 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-10) + (-56)\/(-40). Suppose w*i - d = -3*d, -4*d - 27 = -5*i. Suppose 2*a - 4*p - 4 + 2 = 0, 24 = i*a + p. Solve -5*u + a = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*d + 49, 4*d + 4 = -b + 33. Suppose k = g + d, 3 = 5*k - 4*g - 40. Let m = 43 - k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3672, 3675, 3680, 3687, 3696, 3707, 3720?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4441 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 24 + (-175 - -131)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1849 + -2113. Suppose 0 = -7*z - 1418 - 430. Is z greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49806 = -14*d - 4*d. List the prime factors of d.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-14)\/(-10))*(-150)\/(-120).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253 + 255. Let v be (-3 + 4 + -3)\/(12\/198). Sort 1\/5, l, v.\nAnswer: v, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144755.\nAnswer: 5, 53, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15.7448 nanograms?\nAnswer: 0.0000000000157448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/16)\/(-80)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -0.269?\nAnswer: 46.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 3. Let f(o) = -9*o + 8. Let y(p) = 8*p - 8. Let w(v) = 4*f(v) + 5*y(v). What is 10*h(t) + 3*w(t)?\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -519 - -1145. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Find the first derivative of 4*u**3 - o*u**3 + 1 - 9*u**3 + 3 wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366*g + 44067 = -1244*g - 60333 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(1\/(-12)*3). Let c = -25 - r. Sort c, -2, 4 in ascending order.\nAnswer: c, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 7) to base 8\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285429?\nAnswer: 3, 95143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11584 + 12599 = 29*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(8\/5)\/z*z*z*z))\/z)\/z)\/(z**(-9)\/z) assuming z is positive.\nAnswer: z**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 420 + 420.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-61.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(304) - sqrt(304)*2 - sqrt(304)) + -1).\nAnswer: -48*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2586426, -5173158, -7759890, -10346622?\n\"Answer: -2586732*q + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.317015447 - -32.317. Round f to seven decimal places.\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -108, -265, -496, -807?\n\"Answer: -g**3 - 28*g**2 + 2*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4. Let p(k) = -k + 8. Let s(u) = -5*g(u) - 3*p(u). Let y = -10 + 14. What is the smallest common multiple of y and s(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 32*t - 5*g + 243, -5*t + 311 = -g. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16788?\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8522 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t + 616 - 580 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.1 (c) 948 (d) -1.664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 + 2*k**4 + 0*k**4 + k**2 + 1 in the form p*k**2 + m*k**4 + d + f*k + v*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82908627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3488*v + 3488*v + 73*v**2 - 38*v**2.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**4 - b**3 + b**2 + b - 1. Let x(r) = 6*r**4 + 4*r**3 + 10*r**2 - 4*r - 12. Let z(s) = 4*f(s) - x(s). Factor z(n).\nAnswer: -2*(n - 1)*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(-15)\/20. Let j = -3343\/15 - -223. Let b = -4 + 7. What is the closest to a in 0.3, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40.134, -0.09, 1?\nAnswer: 40.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3 - (2 - -5548). Let i = p - -111021\/20. What is the common denominator of i and (1 + (-2)\/48*166)*27\/36?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q - 58. Let f(i) = 2*i + 9. Let n(k) = -6*f(k) - g(k). Let z(u) = -3*u + 4. Determine 4*n(y) - 3*z(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/10 less than or equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((0 + 1)\/(10 + -6)). Suppose 0 = -7*r + i*r - 48. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(1112\/(-557) - (0 + -2)). Suppose 5*j + n = -0*j. Let t = 25625\/46 + j. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 605b - -1d?\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:30 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112442 - 10?\nAnswer: -113002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 143, 147?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 28.42. Let d = q - 2.8. Round d to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-16)*(-944)\/46197*9?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t - 13. Let r be w(-2). Let d be 1 + 5\/(-3) - (-302)\/r. Suppose -141*c + d = -136*c. Calculate the remainder when 137 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 61498*o + 368916.\nAnswer: 2*(o + 6)*(o + 30743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - o**2 - o + 42. Determine u(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24126938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -47. What is the common denominator of -89\/14 and ((-123)\/q)\/(4\/(-5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-29)\/((-87)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075*n - 1075*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32053 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 29*b**2\/2 + 18*b - 92. What are the prime factors of g(9)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i - 6 - 15*i**3 - 5*i + 26 - 5*i + 10*i**2 + 14*i**3. Calculate j(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.18513 tonnes to grams.\nAnswer: 8185130","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 17978253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 a when four letters picked without replacement from aualaauvaauaalaa.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 128?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -72675*f + 291098. Determine s(4).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 - 3*k - 10. Let y be u(-9). Let t = 3375\/11 + y. What is the second smallest value in t, 1\/4, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18051.\nAnswer: 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -33, -32, -29, -24?\n\"Answer: a**2 - 4*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 2. Let h be l(-4). Suppose h*c + 6 = 10. Suppose 0 = 5*o + 3*v - 287, 0*o - 102 = -2*o + c*v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2681981.445 to the nearest ten thousand.\nAnswer: 2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) 5 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f - 446 = 5*x, -3*x + 348 = 3*f. What is the remainder when f is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - n**5\/12 + n**4\/8 + n**3\/2 + 5*n**2. Let j be a(4). Sort j, -7, 4 in descending order.\nAnswer: 4, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + 4*t**2 - 22*t - 15. Let i be g(-6). Let f = i - 831. Calculate the remainder when 467 is divided by f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a + 20. Let g be q(0). Suppose 2*w + g = -2*o + 64, 120 = 4*o - 4*w. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from rjyhtjrhjhs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let m be (-1 + (-3 - -3))*0. Suppose m = f + 3*f + 12. What is the nearest to p in f, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + 0.23. Let s = 235\/4 - 58. Which is the third smallest value? (a) -0.2 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-180\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(700) + 1 - sqrt(700) - (-3*(sqrt(700) + 1 + sqrt(700)))**2 - -5*(2*sqrt(343) - (1 + sqrt(7))*1)).\nAnswer: 1300*sqrt(7) + 100852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/21 and 67\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 26 = 4*g. Suppose -u + 4*u = -g. Let d(t) = -t**3 - 4*t**2 - 2*t - 1. Calculate the remainder when d(u) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -256 - 9*g - 248 - 254 + 2*g**2 + 998 - 252 to the form z*g**2 + a*g + x and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {d: 1, s: 1, c: 16}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-822)\/(-48) + (-2)\/16. Suppose -2*l + s = -9. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -17. Let g = -3 + 1. Which is the closest to g? (a) o (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) 2630\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138951810 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160 + -9 - 0*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10))**(-42)\/(y**(3\/5)\/(y\/(y**(-2\/13)*y*y))) assuming y is positive.\nAnswer: y**(-913\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2235031*i**3*z**6 - i**3*z**2 + 366*i**3*z + i*z**3 - 2*i*z**2 + 2*z - 500 wrt z?\nAnswer: 268203720*i**3*z**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/(-7))\/(12\/(-108)). Let i = 118 - 39. Do f and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 + -912. Let q = 5.93 - -0.07. Let z = t + q. Is z greater than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/35 + 20*k**4\/21 + 2*k**3\/21 - 40*k**2\/7 - 2*k - 61. Factor g(n).\nAnswer: -4*(n - 20)*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0. Let a = -355 + 803. Let q = 437 - a. Does q = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/7 or 25653?\nAnswer: 25653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(-5)*38110\/(-206).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -19. Suppose 12*q = 8*q + z. Let i be q\/((-4*1)\/32). What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3075737 - -15?\nAnswer: 3075754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfffhfhnffffhbb. Give prob of picking 2 f and 2 b.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*g + 2*g - 20 = 0, -3*g + 30 = 3*m. Let k = -13 + 25. What is the remainder when k is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153 + -127 - (4 - -5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**2 + p + 0 + 1\/12*p**4 + 0*p**3. Let z(k) = -4 - 7 + 11 + 5*k**2. Give z(a(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.01 + 0.01. Let y = -61 - -61. Which is the closest to y? (a) s (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/48*(-6)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2049*n = 2598*n - 309*n + 99774 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*n - 107*n - 434*n + 700*n + 2 - 2.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -988*n - 230 = -1011*n. Solve 5*g - n*g = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -2 + -17 + 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -518.\nAnswer: -1\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 29 in decreasing order.\nAnswer: 29, 28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 7*s - 2. Suppose o = 5*i - 23, -4*o = 3*i - 9*o - 5. Suppose 13 = i*q - 12. What is g(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2466 - 2466.4. What is the fourth smallest value in 1.04, h, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:56 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, b: 3}. What is prob of picking 1 b and 3 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 2}. Give prob of sequence yw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 16*x**2 - 16*x + 17. Let a be j(-17). What is the second derivative of z**5 + 33*z - 47*z + a*z**5 wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 76*b - 1500 = -104*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -720, -2858, -6416, -11394, -17792?\nAnswer: -25610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1063970.76 to the nearest 1000.\nAnswer: 1064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.51 - -54. Let r = 0.88 + l. Let p = r - 0.07. Which is the closest to -2\/3? (a) -0.5 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l - 72. Let u = -34 - l. Calculate the smallest common multiple of 3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 5. Let b be v(-5). Let d(o) = -2*o**3 - o**2 + 2*o - 1. Let x be d(1). Let l = x - 3. Put l, b, 2 in descending order.\nAnswer: 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2409267 and 8225?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)\/d)**(-38) assuming d is positive.\nAnswer: d**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 13\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.5 (b) 3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (-1272)\/(-120))\/(-5 + 3 + (-46)\/(-40)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f + 3. Let a(o) = -4*o - 3. Let k(d) = -6*a(d) - 5*p(d). Let u be k(-3). Calculate the remainder when 39 is divided by (21\/2)\/(u\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -248?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 26 (b) -74409 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 854*d**3 - 711*d**2 wrt d?\nAnswer: 5124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002511 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33889 is divided by 217.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.058 + -0.018. Let l = g + -0.0405. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 28*g + 71. Let p be w(16). Solve 3*h + p = k, -17 = 3*h + 2*h + k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -133 + 121. Put t, 2, 14, -4 in descending order.\nAnswer: 14, t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(5) + (2*sqrt(5) + 5)**2 + (2 + (sqrt(720) + sqrt(720)*2 + sqrt(720))**2)*6.\nAnswer: 21*sqrt(5) + 69176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -2. Let v be (-1 + -2)\/3*-7. Let y = v + -10. What is the nearest to -1 in y, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40121125?\nAnswer: 5, 11, 29179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/30*714\/((-680)\/(-40)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 117. Let d(u) = -3*u**2 + 46991 + 3*u - 3*u - 46991. Give d(i(l)).\nAnswer: -3*l**2 + 702*l - 41067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, -16\/7, -23\/4, 1.97?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - 0) - (821 + -827).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -24*l - 17. Suppose -9*z - 17 = 8*z. Let w be k(z). Let q(v) = -v**3 + 6*v**2 + 7*v - 4. Determine q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -13.9112?\nAnswer: -278.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.0816475 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*n + 4*f - 491, 2*f - 1006 = 4*n. Let l = -248 - n. Solve -13 = -l*x - 33 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 + 12 = 0. Solve 11 = 5*x + g*c, 0*c + 4*c - 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:44 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -23?\nAnswer: -47\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7. Let i(m) = m + 32. What is -2*i(x) - 9*w(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdmm when four letters picked without replacement from {d: 1, m: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 103 (b) 4 (c) 1.33 (d) 4\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from vrvvssrrsrvvsssvsss?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 624474109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/7))**(-14)\/(k**(3\/4)\/(k\/(k\/((k\/((k*(k**13\/k*k)\/k*k)\/k*k*k))\/k)))) assuming k is positive.\nAnswer: k**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -136. List the prime factors of (b + (4 - 2))\/((-8)\/3560).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * 0.2.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/707919 and 1\/36972.\nAnswer: 110435364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3254450.\nAnswer: 2, 5, 65089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*p = -15, -2*p + 3 = -2*g - 5*p. Let o = 3 - g. Suppose o = 2*k + 2*k - 348. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, r: 1}. Give prob of sequence te.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/((-59774)\/171))\/(9\/(-39))*(-8)\/258.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h - 41628 = -36636 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*p + 323, -360 = -4*z - 5*p + 997. Suppose z = 5*m - 147. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7486*(63\/14)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (160\/24)\/((-2)\/(-12)) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205)\/(-50) - (-6 - -10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1456\/(-546))\/((-4)\/(-6)) + 0 + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21187424\/5 less than 4237484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/35 - (-92)\/(-14). Let i be (-125)\/(-15) - 4\/(-6). Let u = r + i. Solve u*j - j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1745, -3502, -5293, -7136, -9049?\nAnswer: -11050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, l: 1, r: 5, s: 1, x: 1}. Give prob of picking 2 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 7*o**2 - 20 + 0*o + 0*o**3 + 5\/4*o**4. What is the second derivative of u(i) wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564 + 862. What is the remainder when d is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185808, -372393, -558978, -745563?\nAnswer: -932148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2 + ((1 + sqrt(405))*6 - sqrt(405)))*-5)**2 + ((sqrt(405)*3)**2*-2 - (-4*(sqrt(405) + 0) - sqrt(405) - sqrt(405))**2)).\nAnswer: 36000*sqrt(5) + 465710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 32*f + 33. Let s be q(-33). What are the prime factors of 49\/(s + 7) + 278?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfe when three letters picked without replacement from kekhfkhhkelkkehe.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1\/2 + 0). Let a(j) = -j**3 - j. Let h be a(0). Suppose 4*k - 24 + h = 0. Solve -d*t = 4*g - k*t + 22, 5*t + 15 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/(t\/(t**(6\/7)*t)))\/t))\/t)\/(t*t**(-20)))\/(t*t**(-23)*(t\/t**(-23)*t)\/t) assuming t is positive.\nAnswer: t**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 639 (b) 3 (c) 3\/28 (d) -3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5548, 5527, 5506?\nAnswer: 5485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 4*z**2 - 9*z + 7. What is the derivative of j(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232874?\nAnswer: 2, 116437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 1054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166205465 + -4?\nAnswer: 166205461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 52 = -4*j, 4*j - 54 = -3*v. Suppose -6*c - j = 9. Let h = 10 + c. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**3\/6 + 3*m**2. Let q(d) = -d - 1. Determine -q(r) + t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((9\/(-1))\/3)\/((-3)\/(-13)). Sort k, -1, -2, 16, 3.\nAnswer: k, -2, -1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2053, -8339, -18855, -33595, -52553, -75723, -103099, -134675?\nAnswer: -170445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by 6\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4.7 (b) -0.4 (c) -3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*s + 185*s - 368*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76002 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-25) + 6\/(-15). What is the second biggest value in p, 4, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cyjmddcddcd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r**2. Let v(y) = 390*y**2. Determine s(v(x)).\nAnswer: -2433600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a6 (base 12) in base 16?\nAnswer: -22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5*b**2 - 6*b + 3 + 9*b**2 - 12*b**2. What is the units digit of u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1239051116 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((126\/(-4))\/(-9)))\/((-1)\/1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.263341 minutes in hours?\nAnswer: 0.43772235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 32. Suppose -j*p + 14*p = 0. Let a(v) = -1 + 6*v**2 - 11*v + p*v**2 + 10*v. Calculate a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -64481*i - 1357. Let r be z(3). Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Let n = 30 + -32. What is the third smallest value in y, -4, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*d = -58, -s + d = 6*d + 19. Let f(b) = -b**3 - 16*b**2 - 29*b + 45. Let t be f(s). What is the greatest common divisor of 767 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 2\/35, -3, -5, 0.489?\nAnswer: 0.489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119990 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 25. Let x = -13 - o. Which is the nearest to -3? (a) x (b) -5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 7}. What is prob of picking 1 q and 3 v?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179360633 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*k = 5*a + 260*k + 4, -10 = 2*a - 5*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -40367*w - 16. Let y be k(-13). Let i = y - -505245. Round i to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**3 - 3*n**3)*(-1 + 2 + 1)*(-74*n - 14*n - 6*n).\nAnswer: 376*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82992.\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 4, u: 4, t: 2, n: 9, d: 1}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13323*s. Let r(l) = 14275*l**2. Calculate r(t(m)).\nAnswer: 2533845746475*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Do 5\/8 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 divided by 1.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 g when three letters picked without replacement from {l: 1, c: 10, r: 1, g: 3, v: 4}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9553.\nAnswer: 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 15 + (29 - 48)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1669375.\nAnswer: -6677500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/3 - 248*i + 46128 = 0.\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592310 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/sqrt(4) - (sqrt(77) + 2*sqrt(77))\/sqrt(11).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4576 - -4587. Let f(b) be the second derivative of t*b + 3\/14*b**2 + 1\/28*b**4 - 1\/7*b**3 + 0. Factor f(j).\nAnswer: 3*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 63899952\/9 + (-2)\/(-6). Suppose -w + v + r = 0, 4*v + 12927375 = 2*w - 1272613. Round w to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229424 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -17. Suppose v - 2 = -v. Let h(w) = -4 - w - v + w**2 + t*w. Determine h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25263, -25246, -25201, -25116, -24979?\nAnswer: -24778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 38*p. Let c(f) = -8*f + 24. Let u(d) = -7*d + 16. Let b(l) = 2*c(l) - 3*u(l). Calculate a(b(z)).\nAnswer: -50*z**2 + 190*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 688032 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10550 * -354\nAnswer: 3734700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2 + (-26)\/(-12). Suppose -22 = -5*w + 2*y - 7, 3*w = 3*y + 18. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:25 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 719636779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1866 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.113922 rounded to 2 dps?\nAnswer: -173.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/6 - 58*d + 1. Let t(i) = 81*i + 3. Give t(l(x)).\nAnswer: -81*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100101100011 - -111?\nAnswer: -11100100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 - 175. Let m be (d\/10)\/(-2*4\/(-40)). Suppose m*k - 155 = 39*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 40. Let l be q(21). Which is greater: l or -57?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39149 and 5481051\/140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(3714\/(-1248) - -3) - (-2)\/(-13)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, 143, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from izegezigzezzzjjze.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z + 20. Suppose 2*u + 1 = z. Solve -3*c = -4*p + 17, 3*p = -u*p + 3*c + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1274.7 + 1275. Let p be 3 + -3 + 2 - (-19)\/(-8). What is the closest to p in 2, -0.3, x, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - (-7 - (-12 + (6 - 5))))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/1271, -0.4, 0.1, 12, -4 in increasing order.\nAnswer: -4, -0.4, 2\/1271, 0.1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -25615?\nAnswer: -25611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**2*f)**(-40)*((f\/(f\/(f*f*f**(2\/17))))\/f)**15 assuming f is positive.\nAnswer: f**(-395\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12*d = 0. Let -9*k**3 - 17*k**4 + 6 + d*k**2 - 3*k**2 + 14*k**4 + 9*k = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 928625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 330, 348, 382, 438, 522, 640?\n\"Answer: y**3 + 2*y**2 + 5*y + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22429311 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121726026 to 5 dps.\nAnswer: 0.12173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -5*z + 8*s, 2*z - 4*s = -616825 + 616859 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 6*i - 64. Give b(-6).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.31 - -1.31. Let f = 20 - 15.5. Let z = f + 0.5. Put 4, u, z in decreasing order.\nAnswer: z, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3 (b) 1.56 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 7 - 136. Let q = 11 + 54. Calculate the highest common divisor of q and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17037 a factor of 5375054241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 10) in base 13?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 l when four letters picked without replacement from bnlnvtllbbbbbvllbll.\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 31*s**3 - 3. Let r(v) = 310*v**3 - 31. Determine -31*p(y) + 3*r(y).\nAnswer: -31*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 306\/235067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 55*d + 37. Calculate g(-2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 44346501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 24*q**2 - 24*q**2 - 7 as m*q**2 + a + o*q + h*q**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {x: 11, n: 1, q: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54391452 by -5.\nAnswer: -54391452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyq when three letters picked without replacement from {a: 2, w: 1, y: 2, e: 2, i: 1, q: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000370081194 to 7 decimal places.\nAnswer: -0.0003701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaakkkd. What is prob of sequence dakk?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(45)\/(-6*sqrt(144)) + (sqrt(6655) + -2*sqrt(6655) + sqrt(6655))\/(5*sqrt(44)\/sqrt(4)).\nAnswer: -sqrt(5)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3178.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35472 = 173*a + 12605 - 45987. Calculate the greatest common factor of 10547 and a.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-19) - (-4 + 0 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15819*o + 15808*o - 1 - o**2 - o**3 + o**2 in the form c*o**3 + b + a*o + m*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/330 and -139\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*k + 0 + k - 3*k + 0*k + (0*k + k - 3*k)*(0 - 2 + 9).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1864 - -1869. Solve v*n + 4*g = 4, -n + 0*g - 12 = 4*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34183 (base 9) in base 10?\nAnswer: 22755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 14520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 826923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 6, o: 2, f: 3}. Give prob of picking 2 t and 1 o.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-58263)\/12 + 8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000100101 (base 2) in base 5?\nAnswer: -31320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 983778*v - 6886397.\nAnswer: -(v - 983771)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(352)\/(sqrt(11) + sqrt(396)) + sqrt(32)))\/(sqrt(8)\/((3*sqrt(18))\/sqrt(9))))**2.\nAnswer: 41472\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13*q**2 + 214*q + 56. Let k(j) = j**2 - j - 2. Let d(v) = -k(v) - p(v). Solve d(y) = 0 for y.\nAnswer: -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -81. Put -5, -1, h in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2*b + 7. Let u(t) = t**3 + 2*t**2 + 4. Let w be u(2). Suppose 14*q - 10*q - w = 0. Give r(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.2 - -5.2. What is the closest to 1 in a, -9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (41 - -72) + -63?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08828949 to 3 decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 364720.438 to the nearest 1000.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-8))\/((-4)\/(-32)). Solve s*d - 3 - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11484 and 41\/2178?\nAnswer: 126324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692713, -692788, -692863, -692938, -693013?\nAnswer: -693088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Suppose -4*f = 4*j - 16, -2*j - 2 = -5*f + 2*j. Suppose -4*y + 10 + f = 0. What is the second biggest value in n, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5953.323 months?\nAnswer: 4.9611025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 61. Give d(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8154\/3434193)\/((-3 - -1)\/((-14)\/(-3)))?\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*c - 1923 - 10397 = -465*c for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -6.\nAnswer: -6, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n + 2, -q + 5*n = -43. Let x = q - 22. Let h(v) = v**3 - 2*v**2 - 7*v + 2. What is the remainder when h(5) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c - 269 = -401. Suppose 6*j - 12 = 72. What is the greatest common factor of j and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*v + 4*v - 44, 4*u - 4*v - 148 = 0. Differentiate -48 + 89 - 20 - 51 + u*x**4 wrt x.\nAnswer: 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 3, t: 4, j: 3}. What is prob of sequence eoot?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45503055 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 303*k**2 + 156*k - 302. Give b(50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011011 (base 2) in base 3?\nAnswer: -1021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43a18 + -3?\nAnswer: -43a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 41 - (23 - 9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -474168*j**4 + 346520*j?\nAnswer: -5690016*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(20)\/sqrt(4)))\/((sqrt(88)*-3 - sqrt(88) - sqrt(88))\/sqrt(11))*-1.\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*c**3 - 206*a**2*c + 373*a**2 wrt c.\nAnswer: 6*a**2*c**2 - 206*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*a + 108655 = -646*a + 5077*a - 32604 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b - 9*b - b + (2*b - 3*b + 0*b)*(0 + 1 - 2) - 51*b + 52*b - 47*b to h*b + y and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -27*p - 896. What is the least common multiple of u(-72) and 1048?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3347524378916 and -4.4.\nAnswer: -3347524378920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5791776 - -7620.\nAnswer: -5784156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and 4?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 times 6257.2\nAnswer: 4505.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -0*w - 2*w, 5*o = 2*w + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**5 - 19*s**5 + 4*s**5 + (-2*s**2 + 0*s**2 + 0*s**2)*(-4*s**3 + 4*s**3 - 2*s**3).\nAnswer: -19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1573218927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 + d**4\/12 + d**2 + 2*d. Let p be t(2). Let u = 1 - p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25769\/6970 + 2\/697. What is the common denominator of -27\/16 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 443 = g, -4*k + 2*g = -2*g - 612. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -241 + 241 - 3*t**2. Let g(s) = 0*s**2 - 5*s**2 - 5*s - 3*s + 8*s. Determine g(w(v)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975214 is divided by 187.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6206791.\nAnswer: 6206791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 40*h + 61. Determine j(-41).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 = 7*g. Let q(u) = g*u + u - 4*u + 2*u**2. Let z(y) = -198*y**2 + 45. Let h(b) = -9*b**2 + 2. Let v(m) = 45*h(m) - 2*z(m). Give q(v(f)).\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(612))**2 + -4 + (sqrt(612) - (1*sqrt(612) + 3))**2 + (-5 + 3*sqrt(17) - (-2 + -1*sqrt(17)))**2 + -3.\nAnswer: -12*sqrt(17) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1022735 and 2863658.\nAnswer: 14318290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 976384754 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3478*j - 7047*j + 3415*j.\nAnswer: -154*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y + 16. Let v(z) = -8*z - 16. Let r(a) = -5*j(a) - 4*v(a). Does 3 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 15. Suppose -t*h + 3*h = 2*f - 21, -4*f + 27 = 5*h. Let y be ((8\/(-4))\/(-4))\/1*f. Which is smaller: y or 21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2382161 + 6?\nAnswer: 2382167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0861 - -0.0317.\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p**2 + 570*p - 7438. Give x(21).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:00 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j**(-42))*j)\/j*j*j*j**38)\/(j**0*j**(-1\/13)) assuming j is positive.\nAnswer: j**(1067\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 44*g - 46*g + 3*g**2 + 90*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g - 77*g**2 - 119 + 37*g**2 + 77 - 2*g**3 + 42*g**2 - 161 as f*g**3 + o + r*g + d*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/805*(12 - (-306)\/(-28))*7\/6.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5783465 and 63\/1150?\nAnswer: 57834650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-1944)\/(-90))*-1*36\/(-40).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, s: 5, p: 5, w: 1}. Give prob of picking 2 p and 1 w.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71125 or 0.5?\nAnswer: -71125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/799 + -10555\/22372. Let t = g - -5\/7. Which is the closest to -0.1? (a) -0.18 (b) t (c) 4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/14)\/(1\/(-14)). Let v be 2 - (2 + (-4 - -1)). Suppose -u = -v*b + 3. Solve b*w = -3*p - 19, -2*p - w = -0*p + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*i**3 - 10*i**2 + i - 11954 wrt i?\nAnswer: 96*i**2 - 20*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*m + 15 = 0, m - 90 = 3*x - 70. Put -3, x, -21, -11 in decreasing order.\nAnswer: -3, x, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - 252\/(-472). Is y at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 63577287.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((9 - (0 + 1)) + 0)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 5. Let y be b(-10). Suppose -4*r + y = -7. Suppose a + 2*f - 12 = 0, r*f - 18 + 42 = 2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j - 4. Solve 4*k = -5*q, -j*k + 3*q = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 - 408*i**3 + 404*i**3.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*p + 2*p - 3728, -3*p - 3748 = 2*w. Is w\/(-6)*21\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1134630\/(-9450) + (121 - 1).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 17*u - 16. Let i be o(-16). Suppose -22*s + 12*s + 70 = i. Solve 5 + s = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345914509 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*y**2 + 6232 - 12470 + 6238 - 129*y**2.\nAnswer: -529*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02855609087 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j - 4*j)*(7 + 1 - 1)*(5 - 5*j - 5) - 70*j**2 + 85*j**2 - 140*j**2.\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 8*z**3 - 38*z + 2*z**3 + 2 wrt z?\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268909.\nAnswer: 268909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*n - 125, -3*n = u + 3*u - 75. Suppose -4*r = r - n. Solve -4*q + 2*o = o + 14, 5*q - r*o + 10 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 8*y + 3*y)*(1 + 2 - 1) - 3*y + 5*y - y.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 4*u + 8*u + (-2 - 3 + 3)*(4*u - 2*u + 0*u) - 4*u - u + 3*u)*(-6*u + 3 - 3) to the form t + y*u + c*u**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*w + 91*w + 80*w + 21*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let u(a) = 19*a**2 + 21*a + 28. Determine u(g(s)).\nAnswer: 19*s**4 + 21*s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a*a*a**(-1\/2))))**(-33))**(-2\/17) assuming a is positive.\nAnswer: a**(165\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110100100010011001?\nAnswer: 110100100010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + x - 3*x. Let d be k(-1). Solve -2*o**2 - 2*o + 4*o + d*o**2 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5600 - -14?\nAnswer: -5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*y - 416, -6*h + 10*h - y + 414 = 0. Let z = -105 - h. Let o be 0\/(-1 + -1 + 0). What is the closest to o in z, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315617.7 times -1?\nAnswer: 315617.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -16*h**4 - 10*h**3\/3 + h + 29. What is the third derivative of j(c) wrt c?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from {r: 2, b: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101346, 196350, 291354, 386358, 481362, 576366?\nAnswer: 671370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -7 - (-3)\/(-3). Let x(q) = -q**2 - 6*q - 5. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1741230 and 1741230.\nAnswer: 1741230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 8. Let a be q(9). Let w be a*((-2 - -13) + 1). What is the greatest common divisor of 108 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 - 7 = -j, 2*d - 18 = -5*j. Find the second derivative of 112*g**j - 26449*g**2 + 26449*g**2 - 36*g wrt g.\nAnswer: 1344*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5954 and 234468?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -131*d**2 + 1435*d + 52. What is v(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -44897, -5 in ascending order.\nAnswer: -44897, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1494088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -19. Sort -4, -3, b in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:00 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/271*(34\/(-4) - -8). Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16*c - 17*c = 653, -5*c = -4*p + 673. Calculate the smallest common multiple of 378 and p.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99116.64 centuries to months.\nAnswer: 118939968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**2 - 38*u**2 + 4*u + 18 - u - 12 + 19*u**2. Determine z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w - 2*u = -83, 2*w - 37 = 3*u. Calculate the remainder when 77 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - h**3 + h + (4*h - 4*h + 2*h**2)*(-15*h + 5*h - 9*h) - 49*h**3 - 29*h**3 + 101*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 - 4*q - 4 + 1. Let d(f) = -f**2 - 5*f - 6. Let w be d(-4). Give l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q**3 - 2*q**2 + 2*q + 3. Determine z(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29756 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2, -3 in descending order.\nAnswer: 40, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 41 - 331 = 0. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.6 - 13.6. What is the third biggest value in -0.15, g, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*x - 634*x = -289632. Suppose 22*y - 10*y - x = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.157217 and 41.\nAnswer: 41.157217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 27. Let l be b(7). Let q(d) = -13*d - 1. What is q(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77262, -77180, -77098, -77016, -76934, -76852?\nAnswer: -76770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -12. Let f(c) = c**2 - 9*c + 16. Is f(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 609 - 387. Suppose 9*o - 3326 + 662 = 0. What is the greatest common factor of o and u?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87358.64ml?\nAnswer: 87.35864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3\/7, 4, -1\/15 in ascending order.\nAnswer: -2\/5, -1\/15, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441 + 459 + 476 + 2*i**3 - 1376.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5116292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000111110000 + -111001100100?\nAnswer: 11001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*z - 21 = -4*b + 211*z, 5*z + 20 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 + (-16 - (-15 - 14)). Solve d = -501*r + 496*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 13 - (-286 + 253).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*z + 6 = 487*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/(y\/((y\/((y*y**(-1\/4)\/y)\/y))\/y))*((y*(y*y**(1\/2))\/y)\/y)**40 assuming y is positive.\nAnswer: y**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7 = -w, 3*n + 7 + 2 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 7. Let l(k) be the first derivative of -k**3\/3 + k**2\/2 - k - 8. Let r(t) = -i(t) + l(t). Let r(m) = 0. What is m?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*m**2 - 3*c**3*m - 297*c**2*m**2 + 2*c*m**2 - 147*c*m - 44 wrt c.\nAnswer: -12*c*m**2 - 18*c*m - 594*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a + 9. What is p(3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.7 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 54750701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 48047024*q - 48047028.\nAnswer: 4*(q - 12011757)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(78)\/(1*sqrt(6)).\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-14)*3\/6*-42 and -89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3435.801 + 3434. Let i = 0.001 + g. What is i rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*m - 17, -15*m + 45 = 5*i - 10*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 2*u. Let a be v(-4). Let r = 1 + a. Let j(f) = f**2 - 8*f - 6. Let p be j(r). What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 0.4 (c) 4.52 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 20*y**2 - 11*y + 1. Let u(s) = 3*s**2 - s + 1. Determine b(g) - 3*u(g).\nAnswer: 11*g**2 - 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 963*o + 132*o - 300*o - 2 + 732*o to p + m*o and give m.\nAnswer: 1527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*y**2 - 28*y - 23*y**2 - 40*y + y**2 wrt y?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*f - 23. Suppose -19 - f = -13*d. Solve 0 = -w - d*o + 7, 3*w - 4*o - 11 = -3*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2221401*g*v - 313*g + 3378 wrt v?\nAnswer: 2221401*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 250.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(1*-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11533336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 15, -21303 = -2*m - 3*a + 8902. List the prime factors of m.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as 1031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276.97384 - -0.735?\nAnswer: 6277.70884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.67821924\nAnswer: -3.3910962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v + 6. Let x(q) = 2. Let z(s) = 4*u(s) + 3*x(s). Let w(p) = p**2 - 4. Give -2*w(g) + 4*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-217)\/(-147) - 3\/9. Factor -8\/7*l**3 - q*l + 2\/7*l**4 + 12\/7*l**2 + 2\/7.\nAnswer: 2*(l - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 3*d**2 + 2*d. Let v(m) = 2*m**3 - 2*m**2 - m. Give -5*c(h) - 7*v(h).\nAnswer: h**3 - h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/154)\/((-36)\/(-22))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, m: 7}. Give prob of sequence mb.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(-30) - 2\/5. Suppose 2*c - p - 30 = 0, -3*c - 3*p = -13 - 41. What is the remainder when (116\/6)\/(2\/s) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86774 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327542*g**2 - 11*g - 11*g + 22*g.\nAnswer: -327542*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 20*u**3 + u**2 - 77*u + 19. Let i(c) = -7*c**3 + 26*c - 7. Give 8*i(v) + 3*w(v).\nAnswer: 4*v**3 + 3*v**2 - 23*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:03 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4274*b - 7 + 2 + 10.\nAnswer: 4274*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -514 divided by -514\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 497 + 494 = -g, -3*y - 4*g = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 883\nAnswer: -1766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14 and -276?\nAnswer: 275.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22102000 to the nearest 100000.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33518925 or 33518921?\nAnswer: 33518921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u + 8. Suppose 4*y + 3*b + 8 = u*b, 5*b = y + 2. Is 9 a factor of 40\/(0 - y) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let a be w(3). Suppose 0 = 5*h - 13 + a. Suppose 3*s - 11991 = -h*k, 6648 = 2*k - 5*s - 5367. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u. Suppose 5*m = 3*r + 3753, -5*m + 4*r + 0*r = -3749. Let v(d) = 366*d + 368*d - m*d. Give v(z(j)).\nAnswer: -209*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 146 - 38 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2032 - -3001. Is 88 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 30 = -3*z - 2*m, -9*z - 70*m + 73*m = 36 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600275, -600265, -600253, -600239, -600223?\nAnswer: -600205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xikkkkkqkznkkqx. What is prob of picking 1 z and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa - 29?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 - 321. Calculate the remainder when k is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 879*j**4 + 3*j**6 - 20*j**2 - 879*j**4 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 17. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 + 9*k**2 - 60*k + 7. Let u(v) = 4*v**3 + 8*v**2 - 59*v + 6. Determine 6*p(l) - 7*u(l).\nAnswer: 2*l**3 - 2*l**2 + 53*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 206\/12 + (-2)\/12. Suppose -4*b - 9 = -5*b - 5*i, 3*i = 5*b - x. Suppose b*z - 7 = 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8310 - -8306. Which is the fourth smallest value? (a) 1\/6 (b) -0.07 (c) f (d) -73 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 73*s**2 - 8. Let l(i) be the first derivative of 2*i**3\/3 - 480. Determine l(k(d)).\nAnswer: 10658*d**4 - 2336*d**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 23*q**3 - 13*q + 57. Let b(t) = -11*t**3 + 6*t - 28. What is 13*b(h) + 6*l(h)?\nAnswer: -5*h**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-693)\/504)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 16*h + 81. Let q be h\/21 - 143176\/560. Let b = -1048\/5 - q. Find the common denominator of b and 41\/53.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -5*d**4\/12 + 27*d**2\/2 + 52*d - 1. Differentiate r(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 431762*q + 25480920.\nAnswer: -2*(q - 215940)*(q + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629400386*c**2 + 719*c + 40624?\nAnswer: -1258800772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -505.94 + 506. Which is the closest to -8? (a) 0.5 (b) z (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -417, -630, -839?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-1\/8)*(w**(2\/27))**5 assuming w is positive.\nAnswer: w**(347\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 765979 (base 10) to base 5\nAnswer: 144002404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -62 (c) 4 (d) 13 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13849408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + (4 - 20\/4). Let v be 10\/(-45) - (-562)\/f. Let l = 36 + v. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-9)*(14 + 7) + -2. Calculate the highest common divisor of 481 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601252789?\nAnswer: 1601252789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -9. Suppose -12 = -2*v + 3*d, 2*v - 2*d - 2*d = 12. Calculate the remainder when x is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -46.44508\nAnswer: 30.44508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*(-6)\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/5)\/(1*(-5)\/(-25)*-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11369978 and 21868?\nAnswer: 11391846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from uuuzzrzuzuruuuur.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u**3 + u)*(8 + 8 - 17)*(1 - 3 + 1).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {u: 4, r: 8, x: 1, t: 3, b: 3}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2 + k + 4. Suppose 3*s + 0*p + 3*p = -9, s = 4*p + 17. Let v be a(s). Solve u - v*u = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 5*k + 2*k**4 + 9*k + 2*k**3 + 26 in the form f*k**4 + x*k + d + t*k**3 + j*k**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*p + 3*v - 14, 0 = -3*p + 3*v - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 + -41?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/12*i**4 + 0*i**3 + 0 + 12*i**2 + 0*i. Let u(n) = 8*n**2 + 2. Determine m(u(t)).\nAnswer: 16*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:40 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00803 * 13253.\nAnswer: -106.42159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100 a factor of 42409500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252570 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.075 - 1.275. Which is the third smallest value? (a) 0.5 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.44016 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5 times 0.04?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204215 is divided by 112?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -x + 57, -3 = -0*q + 3*q. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565748741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-14\/3)\/f)\/f*f*f)\/f)\/f)\/(f\/f**25*f) assuming f is positive.\nAnswer: f**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4263460?\nAnswer: 2, 5, 213173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 26. Determine n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:30 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/2, 8727436 in decreasing order.\nAnswer: 8727436, 1\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/8)\/(-7)*18*(-32)\/(-54).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 1858?\nAnswer: 33\/1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7542784 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x**2 + x**2)*(-9*x + 3 - 19*x - 11*x).\nAnswer: 39*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46774278 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (61370\/15)\/(-38)*(-36)\/102\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*y - 104*y - 97*y - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 11 = -5*b, b - 18 = 3*s - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**(-1)*((l*l*l**(1\/6)*l)\/l*l)\/l**(-2\/17))\/((l*l**(-1))**34*(l**(1\/9)*l)\/(l**(2\/17)*l)) assuming l is positive.\nAnswer: l**(-217\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3498 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -3*a, -4*a + 2*j + 16 = a. Suppose -41 + 345 = -19*x. Let l = x - -26. Solve 4*c - l = -a*o + 6, 5*o = 2*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let u be r(5). Let s be 10\/(5 + (-45)\/u). Find i, given that 1954 + 5*i**3 + 25*i**2 - 1954 + s*i = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let f(l) = -5*l + 7. Suppose 5*z = 2*g + 5, -g + 4*z + 0*z = 10. Let i be g\/(10\/2 - 3) + 1. Give i*v(j) + f(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -362 and -0.1.\nAnswer: -362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -4014*l**2 - 9963*l - 4982. Find the first derivative of f(c) wrt c.\nAnswer: -8028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 226 - 58. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - 9.17. Let a = -0.11 - 4.89. Let l = a - t. Sort l, -0.4, 1\/5 in decreasing order.\nAnswer: l, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 35\/2*q**2 - 77 + 0*q**3 + 0*q**4 + 1\/5*q**5 + 92*q. Differentiate z(l) wrt l.\nAnswer: 4*l**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -142, -199, -248?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 0)*-11*(-4)\/176. Let r = 0.11 - 0.01. What is the nearest to 1 in -0.2, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 29 = 3*a + 67, 4*a + 3*j = 37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8280148, 8280155, 8280164, 8280175, 8280188, 8280203?\n\"Answer: w**2 + 4*w + 8280143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/13681 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from drddrrrrdrdr.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -20. Suppose 2*b - 2*g - 110 = 0, -d*b = 5*g - 165 + 32. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 + 778\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -10, -2, 1.07, -2.7, 1\/106?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72259\/3150104 - 34\/1453. What is the common denominator of -101\/4 and t?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -2, -0.1, -1, -0.2 in ascending order.\nAnswer: -2, -1, -0.2, -0.1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.2423?\nAnswer: 4.7577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107086793 and -181065.\nAnswer: -107267858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, -0.05, -2, 13.5, -0.1, -933?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 1. Let y(x) = -x**2. Let m(o) = -a(o) - 4*y(o). Let w be m(-1). Solve z = -w + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.03 times 693\nAnswer: -17345.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 688564*p**2*q**3 + 32186*p*q - 6*q**3 wrt p.\nAnswer: 1377128*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49645580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + 23 + 2. Suppose 3*r = -2*r + h. Suppose 5*z - r*s = 55, -3*s - 65 = -2*z - 3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 137. Let b be q(32). Suppose 0 = b*f - 2826 - 1971. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 96. What is the remainder when 68 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 + 7*s + 6. Determine c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53200 (base 6) to base 14.\nAnswer: 28a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 901 - 925 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from dmlmmxkrmdll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - 8da9f?\nAnswer: -8da83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4417 less than -81177?\nAnswer: -81177.4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 655807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*j + 53 = -43, 5*j - 32 = -y. Suppose -15*f = 38 - 113. What is the remainder when y is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsv when four letters picked without replacement from nvsnnnvp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361998630 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.215 and -2.9?\nAnswer: 3.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38347 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100112 (base 3) to base 11.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**5)**(-11\/5)\/(t\/(t\/t**(-1\/12)))**(-10\/9))**(2\/59) assuming t is positive.\nAnswer: t**(-3589\/7965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*(4 - 2). Find the second derivative of -o*b**5 - 3*b**5 - 4*b + b + 7*b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*u + 274652 - 282196 = 0 for u.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3155528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = -5*g - 35, 4*g = 5*x - 10. Let d = -2 - x. Differentiate -2*v**4 + 0*v**4 - 2 + d with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 - 443142?\nAnswer: -442403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 + 5*p - 14. Let f(z) = 2*z**2 - 3*z + 7. Suppose m + 6 = 11. Let h(l) = m*f(l) + 3*k(l). Give h(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(12 - 5) - -7. Let d = -1 + 4. What is the biggest value in r, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**4\/j*j*j*j**(-3\/2)*j**(-18)*j**(-3\/7)*j*j assuming j is positive.\nAnswer: j**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289504, -289503, -289502?\nAnswer: -289501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -0.5 (c) 0.1847 (d) -12 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288.5 + -291.4456. Round f to two dps.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/40)*b)**(-31) assuming b is positive.\nAnswer: b**(-1271\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*k + 4*k. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -7.78, 124, -0.3?\nAnswer: -7.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 99 times 326806\nAnswer: 32353794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2141 - 4472. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1768687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + h**2 + h. Let f be y(-1). Let v be 88\/20 + f\/(-10). Solve q + v*z = 5*z, -3*q - 8 = 5*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + 100120?\nAnswer: 21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 9 = -21. Let y(l) = -2*l**2 - q*l - 2*l**3 + 0*l**3 + 3 + 0*l. Let m(p) = -2*p + 2*p**2 - p**3 + 2 - 3*p**2 + 0*p**2. Determine -3*m(s) + 2*y(s).\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r = 2741 - 2965 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 156 - (12 + -62 + 21)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108674 divided by -7.\nAnswer: 108674\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.294394 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 11:10 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31756 rounded to the nearest 100?\nAnswer: -31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 3) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7227714 days to weeks.\nAnswer: 0.2461102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c20 (base 14) to base 10.\nAnswer: -21588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**2 + 12*n**2 + 18*n**3 - 21*n**3 + 7*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*l - 17, t + 4*t - 5*l + 20 = 0. Is (1316\/12)\/(t\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163865 (base 10) to base 15.\nAnswer: 33845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -142, -260, -384, -514, -650?\n\"Answer: -3*q**2 - 109*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1768 = 32*b + 2*b. What is the highest common divisor of 78 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6264\/(-3393) + 3568\/468 + -10?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11235, 44980, 101239, 180024, 281347, 405220, 551655, 720664?\nAnswer: 912259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 6*s + 1. Let d(x) = -3*x**2 + 2 + 5*x + 0*x - 3. Let o be ((-22)\/(-88) - (-46)\/(-24))\/((-25)\/90). Determine o*d(g) + 5*w(g).\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -404, -5361, 2 in decreasing order.\nAnswer: 2, -5, -404, -5361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-53)\/(-240)*2 + (-390)\/1040)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14259 is divided by 7006.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.779617 and -67470.\nAnswer: -67481.779617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25900698821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492533621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-2)\/5*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15 - 8 - (-1 + 7))*(-3 + 4045)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 7. Let n be x(5). Let k = n + 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87273312?\nAnswer: 2, 3, 7, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85\/3 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:03 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 6:24 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -438, -657, -866, -1065?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 32*o**2 - 8852*o - 8884 = 0.\nAnswer: -1, 2221\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1\/7 (b) 0.2 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -0.03.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {y: 2, g: 2, j: 1, n: 2, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 713 = -0*t - 0*t. Calculate the remainder when 130 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + -2.59. Let h = w + 1.9. Let f be 10\/4 - (-8)\/((-10)\/5). Which is the third smallest value? (a) h (b) -3\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-2\/9)*d\/d**(-8))\/(((d\/(d\/(d**(-1)\/d*d)))\/d)\/(d**(-2\/13)\/d*d*d)) assuming d is positive.\nAnswer: d**(1763\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1254 and 5346?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 21378860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/14)\/(12\/(-168)*-10))\/(156\/15600)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 34*d - 17. What is the least common multiple of r(-12) and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352654 - 352652. Let p = 0.9 - 4.9. Let t = -8.7 + 8. Sort -0.5, t, j, p in decreasing order.\nAnswer: j, -0.5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36856985, -36856984, -36856983, -36856982?\n\"Answer: v - 36856986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27202 divided by -7.\nAnswer: -3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 45415.3.\nAnswer: 317907.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 5:10 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*f - 3*s, 3*f + 14*s + 4 = 9*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*c = 110*c - 3297. What are the prime factors of c?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 7. Let h(v) = -8 - 9 + 2 + 20*v - 5*v. Determine -6*h(d) - 13*t(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/105 + (-665)\/75?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -10*w**3 + 2*w**2 - 16*w. Let d be a(1). Calculate the common denominator of -27\/14 and 162\/d - (-5 + 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-2\/13))\/r**(-5))\/(r**(-1))**26)**18 assuming r is positive.\nAnswer: r**(7758\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 + 3*b. Suppose s + 4*n - 12 = 0, 4*n + 6 - 2 = 3*s. Let l(w) = -4 + w**2 + s. Determine t(l(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from yqqqpypqgp.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1159463 millilitres in litres?\nAnswer: 0.0001159463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -294*k**3 - 5*k**2 + 5. Let w(h) = -h**3 - h**2 + 1. What is 2*p(a) - 10*w(a)?\nAnswer: -578*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 14*c + 11*c = 660085. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416039 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21684659*v**3 - 145659234*v**2.\nAnswer: 130107954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 21780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgs when four letters picked without replacement from gcckskkgckh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-1)\/(n**(1\/3)\/n*n)**(-6) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*o - 3, 15 = -238*h + 243*h - 3*o. Let i(u) = 21*u + 7. Calculate i(h).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57925 and 875.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 1420*q - 5666. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 641 or 1748?\nAnswer: 1748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a week in minutes?\nAnswer: 33264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u - 51. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272483 is divided by 162.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(112) - sqrt(112)*-2) + -5)**2 + (-2*(-1 + sqrt(112) + sqrt(112)) + -4)**2)*-6.\nAnswer: -2544*sqrt(7) + 7818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13089508 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Suppose -3*l = -h - 4, -4*h + 5*l - z*l + 4 = 0. Suppose -h*c = -2*r + 7 - 1, 4*r = -3*c + 19. Which is smaller: 4\/9 or c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/3 + 9040*w**3\/3 - 2271048*w**2 + 571545072*w - 569277036.\nAnswer: -4*(w - 753)**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 117 + 38. Suppose 3*m = -5*t + w, 2*t - 3*m = 2*m. Solve 7 = t*j + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122740491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734538417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(2\/(-5))\/(9\/675)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than -6621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = -0*x - 3*t, 5*x - 3 = -3*t. Suppose 2*b = x*h - 55, -2*h - 5*b = -92 + 30. What is the remainder when 143 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6146 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:43 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-200826)\/(-4) + 43\/86 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 1 - -4)\/(2\/(-1)). Solve 3 = 2*i - k*a - a, 0 = 3*i + 3*a + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 5141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + 1. Let w be u(-2). Suppose w = 3*p + 3. Suppose 0 = -a + 2*a + 2*j - 339, -2*a + 676 = p*j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/7 + 174*y**2\/7 + 842. Find a such that v(a) = 0.\nAnswer: 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 16*v. Suppose p = 8 + 8. Let i be u(p). Solve -2*k - 4 + i = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**0\/f)\/(f**(-3\/20)\/f))**40)**(-43) assuming f is positive.\nAnswer: f**(-5418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-20 - (40 + -13))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - t = 4*t + 13, 3*z + 5*t = 19. Let l(d) = -d**3 + 5*d**2 + 7*d - 5. Let w be l(6). Let b be w\/(-4) + 518\/56. Is z >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252095899 divided by 3.\nAnswer: -252095899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3\/7 - 1752*i**2\/7 + 36432*i - 12340512\/7 = 0. Calculate i.\nAnswer: 138, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -45*w**6\/2 + 144*w**3 + w - 349. What is the third derivative of p(f) wrt f?\nAnswer: -8100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.4. Suppose 12 = 5*f + 37. Let o be (4\/(-5))\/((-1)\/f). Which is the nearest to y? (a) o (b) -0.1 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100b + d?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-52)*(-413439)\/63606.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 41272*y**2 + 106419840*y - 213004800.\nAnswer: 4*(y - 2)*(y + 5160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-246)\/164*18\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3*(-29)\/(-1). Suppose 3*z - m = 84 + i, -3*m - 159 = -4*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and 13.\nAnswer: -37.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6801870372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 f when three letters picked without replacement from aayfjyycfzzyfajfyff?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 48*n - 8. Let c(k) = -64*k**2 - 433*k + 77. Determine 2*c(a) + 19*g(a).\nAnswer: 5*a**2 + 46*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*o + 6*o. Suppose 3*n - o = 7. Solve 2*q + n = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 2 c when four letters picked without replacement from ccbcddkbdpdccckdcbd?\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 - 62. Is 60 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -45, -24, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 24846659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + z = -34, 0*z + 6 = -3*z. Let k = 6 + h. Let g(r) = 2 - r**2 - r**2 - 3 - r. Give g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-5)*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119.236823*-0.1.\nAnswer: 11.9236823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5076*o + 5089*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553.6922 micrometers in centimeters?\nAnswer: 0.05536922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 892b36b + 5?\nAnswer: 892b372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in 0, -3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -a2154c?\nAnswer: -a21548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.551 - -0.449. What is the nearest to 173 in s, -0.08, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184009267.\nAnswer: 13, 14154559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.1 in -1, 0.1, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442098401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from nhnnhhnn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 + 11*b + 8. Let u be w(9). Let v = u - -29. Let a = v + 28. Solve -a*f - 8 = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 3056139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 3*u + 60 = 14*b, -14*u = 13*b + 3*b - 9*u - 111 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 10 = 0. Factor 3*n - 6*n - c*n**3 + 6*n**3 + 2*n.\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887744 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4145 minus -0.2?\nAnswer: -4144.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(-4 + sqrt(245) + 1*sqrt(245)*1 + sqrt(245) + sqrt(245) + 3*sqrt(245)*-1 + sqrt(245) + (0 + -1 + sqrt(245) - sqrt(245)))**2.\nAnswer: -1120*sqrt(5) + 8040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 - 2.33. Sort -3, -4, u, -0.06.\nAnswer: -4, -3, u, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 13. Let b(t) = 2*t - 13. Let g be 472\/80 + -2 - 3\/(-30). Give g*b(i) - 3*k(i).\nAnswer: 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - s - 585 + 582, -1 = s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.709 times -2.363?\nAnswer: 32.394367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 5*o + 1 - 3*o. Suppose -3 = 5*i - 5*m - 13, -i + 40 = 18*m. Give c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24423031 (base 7) to base 2.\nAnswer: 1000010110110110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:44 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(192) - (sqrt(192)*2 + 3)))**2 + (sqrt(192) + -1 + sqrt(192) + -1)**2*-5)*2.\nAnswer: -7264 + 832*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, d: 5}. What is prob of picking 3 r?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -55, 0, -1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -405184*m - 2496. Let w(i) = -812*i - 5. Calculate -5*n(r) + 2496*w(r).\nAnswer: -832*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128255114 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 10963*q**2 + 550647*q + 144. Determine b(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*o - 49*o - 11. Suppose o - 11 = -j + 3*a, -j - 3*a = -22. Calculate the smallest common multiple of 108 and j.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15529 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*v**2 - 2*v**3 + 0*v**3 + 825*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/330 + q**4\/4 - q**2 - 53. Factor f(n).\nAnswer: 2*n*(n + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.018?\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.4 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51325.63us?\nAnswer: 51325630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 115011277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 + 106. Let h = o + 79. Let j be (-63)\/(-220) + 10\/(-40). Which is bigger: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/10 - 3*g**2 + 15*g + 11. Let k(t) = 1764*t**2 + 1. Determine u(k(c)).\nAnswer: 18670176*c**4 + 21168*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 4, e: 3, q: 9}. What is prob of sequence oe?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6979 (b) -5 (c) 308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m - 15. Let t be v(4). Suppose 0 = 69*i - t*i - 3872. Calculate the highest common divisor of 44 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 20*h**2 + 15*h - 28. What is the units digit of k(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118336 is divided by 39444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101000011100 + -10100?\nAnswer: -1011101000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + 13 - (-1 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*x + 3*x. Calculate the highest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 207. Let n = z + 94.06. Let h = n - 0.06. Which is the smallest value? (a) -2\/11 (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530642 (base 9) to base 15.\nAnswer: 63702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 - -390?\nAnswer: 390.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*y - 667*y = -268 + 3116 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*m**2 - 11*m**2 - 45*m**2 - 46*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51773 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.217084?\nAnswer: -0.217084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 10*b = 76*j + 256, -6 = 3*j - j for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123.92105 in 0.11, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*j = -n - 1, 0 = 5*j - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-19)*u)**(2\/65)\/((u\/(u\/(u\/u**(-24))))\/u)**(12\/11) assuming u is positive.\nAnswer: u**(-19116\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6253, -6248, -6241, -6232?\nAnswer: -6221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -13. Let q = 13\/11 + -106\/99. Which is the closest to 0.2? (a) 3\/7 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2 - 3\/50*k**5 + 1\/30*k**4 + 1\/105*k**7 - 9*k - 1\/75*k**6 + 2\/15*k**3 + 0*k**2. Find c such that a(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2) + -2)\/((-14)\/28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*c**3 + 36*c**3 + 17*c**3 + 156*c**3 + 14*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-2106)*(-18)\/6\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiildlu. Give prob of sequence dull.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 338 - 79. Sort n, 1, -9.\nAnswer: n, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -3, -0.4, -8, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*a*i*n + 3*a*i + 47*a*n + 3085*a + 39*i*n - i with respect to i.\nAnswer: 64*a*n + 3*a + 39*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 361935499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 - 824 + 543.\nAnswer: 2*n**2 - 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 11. Suppose -4 - 1 + g + 4*w**2 - 4 + 4*w = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 2*v. Let z be (v\/(-4))\/((-2)\/8). Suppose -z = -3*q - 4*k + 5, -k = -2*q + 9. Calculate the lowest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 - 2*i**2 + (-2 + 2 + 2*i)*(1 - 1 - i) + 6177*i + 33*i**2 + 104*i**2 - 6177*i.\nAnswer: 133*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(1377) + 0)*2*-2*-2*-6 + 1)**2.\nAnswer: -5184*sqrt(17) + 3172644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 + 34 - 11*g - 17*g**2 + 34 - 4*g**2.\nAnswer: 3*g**2 - 11*g + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z**4 - 2*z**2)*(-51 - 50 - 3).\nAnswer: -104*z**4 + 208*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (80 - 47)) + (17 - 1) - (3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*r + 12*l + 1018 - 1050 = -2*r + 14*l, -l = 2*r - 17 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 - 5*k + 5. Let r be o(-5). Let h be (-8)\/10 - 360\/(-75). Suppose 5*i - r*z - 48 - 62 = 0, h*z = 2*i - 52. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/3, -5\/3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q - 3. Let h be k(-3). Suppose 0 = -h*i + 42 + 24. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose -b*d + 15 = -1. Let r(k) = -2*k + 7. Let i be r(d). Which is smaller: i or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g - 33. Let j be p(-12). Suppose -j*q + t - 342 = 0, 0*q - 211 = 2*q + 5*t. Let i = 117 + q. Sort -3, -5, i in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 48*z**3 - 5. Let q(m) = -24*m**3 + 2. Let o(t) = t**3 - 5*t**2 + 16*t - 75. Let g be o(5). Give g*q(f) + 2*n(f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + 45. Calculate the greatest common divisor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 7}. Give prob of picking 2 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 9. Let k be a(-8). Let w = -4 + 1. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:11 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q + 2*w, 5*w + 12 = 5*q - 4*q. Solve 16 = -q*m - 4*z, -4*m + z - 16 = 5*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(6)\/(sqrt(8)\/sqrt(4)) + sqrt(12)\/sqrt(4)*6.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154105199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10263 - 10262. Are 7\/1472 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by 9\nAnswer: 212\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159634 is divided by 657?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 8 = -4*t + 6, 2*x + 3*t + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let f be r(5). Suppose -2*z = -z - f. Suppose -96 = -z*l - 7*u + 3*u, -60 = -3*l - 3*u. Calculate the lowest common multiple of l and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 6. Let l be d(6). Suppose -2*f - 153 = 3*o - l*f, 3*f - 102 = 2*o. Let x be (-2 + o\/12)*28. Round x to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y - 2*w + 220 = 0, 5*w = 10. Suppose -20*s = -56*s - y. Let o(b) = -b**3 - 6*b**2 - 3*b - 11. Calculate o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-21))\/120*2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44221*m**4 - 17191.\nAnswer: -176884*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.549 or 3?\nAnswer: -1.549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -640807.28 rounded to the nearest one thousand?\nAnswer: -641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/74*(-496)\/(-372)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12417\/346 smaller than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 2*m + 50219 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753846067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/635 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -52, -13, 2, 5 in increasing order.\nAnswer: -59, -52, -13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447730771?\nAnswer: 151, 199, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -2*c**2 - 1\/6*c**3 - 4*c + 0. What is the derivative of r(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17348 (base 11) to base 15\nAnswer: -734d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16bd52 - -21?\nAnswer: 16bd73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*a = -11, -z + 5*a + 15 = -0*z. Solve 0*o + z = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1741*q - 3406*q + 1662*q**3 + 1665*q.\nAnswer: 1662*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -571\/987 - -1\/141. Let x be (4\/16)\/((-9)\/8). What is the closest to 1\/2 in s, 3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 174 = 8*o. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2136 and 1958?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y = -50*y. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -21740*l**2 + l. Let v(k) = -2*k**2. Calculate d(v(j)).\nAnswer: -86960*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(5)*-1))\/(sqrt(7)*-3*6) + ((sqrt(200) + 0)*6 + sqrt(200) - (-2 + -1*sqrt(200) + sqrt(200)))**2 + 0.\nAnswer: 5041*sqrt(2)\/18 + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -39957263?\nAnswer: -1\/39957263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414887, -3, 0.1 in increasing order.\nAnswer: -3, 0.1, 414887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 3*t + t**3 + 10 + 0*t - t**2 + 1. What is the units digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759*-0.137.\nAnswer: -103.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*h - 225, 4*h + z + z - 180 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/5 - 307*k\/5 + 4698 = 0.\nAnswer: 145, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-4 + 2)*15\/10. Let o be 2*12 - (0\/v)\/(-1). Suppose -4*i + 3*l = -9, 0*i - 5*i + 5*l = -5. What is the greatest common factor of i and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = 2*y, 77*y + 22 = 2*k + 79*y. Put 5, k, 14 in increasing order.\nAnswer: 5, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/6 less than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -970, -1899, -2646, -3121, -3234, -2895?\n\"Answer: 15*a**3 + a**2 - 1037*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585 and 1989.\nAnswer: 9945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 728017685 - -18531\nAnswer: 728036216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 26.999567. What is r rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43 = -4*y + 15, 2*o = 4*y + 20. Solve -4*k + 17 = o*t + t, 9 = 2*k + 3*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/9 + 295*c**3 + 637463*c**2\/9 + 13502215*c\/3 + 4430204 = 0?\nAnswer: -2396, -129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 542226647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3365 - -12)*1\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-35)\/5 - 0. Let v = -0.22 + 0.12. Let r be 6 + -14 + 7 - -4. What is the closest to 0.1 in r, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3325 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126152 or -126381?\nAnswer: -126152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257419, -514838, -772257, -1029676, -1287095?\nAnswer: -1544514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -872961723 + 0.02\nAnswer: -872961722.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160553, -4, 2.\nAnswer: -4, 2, 160553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**8\/6720 + n**7\/360 + n**6\/120 + n**5\/60 + n**4\/8 - 5*n**2. Let w(y) be the second derivative of q(y). What is w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 4*c. Let m be l(3). Suppose -u + f = -m*f - 11, 2*u + 8 = -2*f. Let g be (1 + u)*4\/8. Solve -6*p + 4*p = g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2581 + 5514. Let k = n + -111413\/38. Calculate the common denominator of k and -37\/19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121279195*v**3 + 125157171 wrt v.\nAnswer: 363837585*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 409.191 times -210\nAnswer: -85930.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -524714655*n + 974861818 wrt n.\nAnswer: -524714655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46819 is divided by 385.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 13 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 663081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from {c: 2, e: 2, g: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 2. Let w = -189 + 193. What is o(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -1.1\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 - 2*c**2)*(-1223*c - 349*c**2 + 1223*c).\nAnswer: 349*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12373 or -3.58?\nAnswer: -12373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**2 - 5*p + 4. Calculate the remainder when i(-5) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -11*n**2 - 21. Let j(p) = -2*p**2. Determine b(j(u)).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4539 rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/2)\/(-21))\/((-21)\/36).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 23*g - 35 = 5*f, 0 = 5*f - 4*g - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (129\/(-430))\/(5 + 51\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106851400.\nAnswer: 2, 5, 229, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4052422 + -105?\nAnswer: 4052316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/10)\/(9982\/71300) - 2\/(4\/74).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2115\/140)\/9 + 35 + (-24225)\/665.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3664*v**2. Let a(g) = -2*g**2. Give a(c(w)).\nAnswer: -26849792*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -76. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -502, -393, -270, -127, 42, 243, 482?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - 10) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.1 + -0.1. Let z = 1 + -0.1. Let y = z - 0.4. Which is the second smallest value? (a) 1\/7 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9819 or -2\/23?\nAnswer: -2\/9819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -25. Suppose 5*r + 5 = i*r. Let j = 9 - 7. What is the nearest to r in j, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*h - 86 - 854, -2*o - 2*h = -470. Let g = o + 73. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359228 divided by -31?\nAnswer: -11588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = b. Let f be 54\/b + 1 - -3. What are the prime factors of (6 - 5)\/((-1)\/f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teit when four letters picked without replacement from zzttiizeezttt?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 35417?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14972\/7 - 2135. Let f = -142\/35 + u. What is the closest to f in 0.2, -2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 + 4 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-30)\/35*(-273)\/(-156)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 8*j**2 - 6*j - 22. Let c(t) = t + 7. Let f be c(3). List the prime factors of d(f).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70259 by -70259.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y. Let d(r) be the first derivative of -3*r**2\/2 - 72. Give -5*d(s) - 3*o(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u**2 - 9. Let j(g) = -g**2 - 1. Give 2*c(y) - 18*j(y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -106, 4, -28, 33 in decreasing order.\nAnswer: 33, 4, -7, -28, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*l - 147, -l + 3*a = -5*l + 192. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26117916997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 3. Let k be i(8). Suppose 6 = 3*l - 2*c, -6*c + c = -3*l + 15. Solve 3*f + 2 = k*x, 5*x = -l*f + 4*f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*q**4*v - 536*i*q**3*v - 2*i*q*v + 120*i*q + 2*q**4 + q**2*v wrt q?\nAnswer: 24*i*q*v - 3216*i*v + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - d - 12, -5*d + 6*d = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 459.23 and 42.\nAnswer: 19287.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:23 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 + 3*v**2 + 3*v - 3. Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaaaazzzzaazzaazzaz. What is prob of sequence za?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1214.9 or 1\/3?\nAnswer: -1214.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - ((-24 - -3) + 1) - (-21 - -28)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 260765 take away -7986?\nAnswer: 268751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 5}. What is prob of picking 3 n and 1 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1921*n**2 + 4570*n - 1009. What is the first derivative of r(y) wrt y?\nAnswer: -3842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24297302 is divided by 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.1 - -10. Let k = 14 - 23. Let a = k + 7. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d + 18. Calculate z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/348763 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:02 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1101110111 (base 2) to base 12\nAnswer: -61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z**3 + 2*z**2 - 3*z - 5. Let f(p) = -25*p**3 + 4*p**2 - 7*p - 11. Give 6*f(l) - 13*r(l).\nAnswer: 6*l**3 - 2*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 13\/((-585)\/(-2196)) - (-2)\/10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -5*p + 0*p + 20 = q. Suppose -5*r + p*s = -112, -2*r - 5*s + 6 = -19. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.7 (c) -1\/8 (d) 20 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-33)*-1)\/(48\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.06 (b) 7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 + 3 + -3 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (31 - 22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12920 divided by -68\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 5, u: 2}. Give prob of picking 1 x, 2 u, and 1 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2622222 and -13\/3204938?\nAnswer: 28844442","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -4 + (-11 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -12. Let x be ((-4)\/y)\/((-282)\/18). Let j = 64\/705 - x. What is the nearest to 0 in -8, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 3 + -2)*(-33)\/(-55) and 101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-3 - 0) - 0. Suppose 0 = m*v - w - 14, -4*v + 1 + 15 = 4*w. Suppose 5*i - v - 7 = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 2*m - 1. Let f = -27 - -29. Is 6 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63105, 253614, 571137, 1015680, 1587249?\n\"Answer: j**3 + 63501*j**2 - j - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-1088))\/((6\/(-16))\/((-678)\/904)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9497\/20 or 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.43 - 8710.25689?\nAnswer: -8743.68689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2715?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/6*k**4 + 1\/3*k**3 - k + 0 + 0*k**2. Factor y(d).\nAnswer: -2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 13674?\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from sluununvnlnuuuuuluu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 8*z + 3. Let n be l(3). Solve 0 = 2*h - n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.23 (c) -4 (d) 5.28124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.03 (b) 2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(119) - (sqrt(119) + sqrt(119)*-1))\/sqrt(7).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14501, 28973, 43401, 57761, 72029, 86181, 100193, 114041?\n\"Answer: -4*a**3 + 2*a**2 + 14494*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*o - 24, 1066*o = -t - 208*o - 4177 - 4739 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9487\/4 + 2387. Find the common denominator of 125\/(-110)*3 - -5 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 47.03, 86\/17.\nAnswer: -0.2, 86\/17, 47.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, -60, 38, -23 in descending order.\nAnswer: 38, 4, 2, -1, -23, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -51. Calculate the smallest common multiple of l and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 46544323?\nAnswer: 46544321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + o**2 - 3*o - 4. Let g be a(0). What is the units digit of (-4256)\/g - (0 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690252.3mm to micrometers.\nAnswer: 690252300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (-42 - -46 - (2 + -13)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4625)\/(-65) - -2) + 6\/(-39). Calculate the remainder when y\/5 + 18\/45 + -2 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-4) - 1\/2. What are the prime factors of ((-9)\/(-2))\/(z\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 8*j + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:17 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -256 divided by -1\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904565739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34549 times 0.755\nAnswer: -26084.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -2*g + 71. Suppose 0*a = 2*h - 4*a - g, 0 = 5*h - a - 188. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 2. Let l(o) be the second derivative of -o**4\/12 + o**2\/2 - 1297*o. Calculate 6*l(j) - 4*w(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -392076088\/5 + 21158792737\/270. Let j = -49317 - w. What is the common denominator of -73\/4 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65982579?\nAnswer: 3, 13, 1691861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 141.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8 - b**2 + 14 + 5*b - 17. Let t be g(6). Sort t, 6, -3 in decreasing order.\nAnswer: 6, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 9, -0.2, 3.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/66 + f**3\/33 + 2*f**2\/11 + 2*f + 1. Let v(a) be the first derivative of j(a). Factor v(u).\nAnswer: -2*(u - 2)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:27 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 11*d - 5*d - 3*d + 29*d - 5*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 8. Suppose 2*g - 9 = -1. Let f(i) = -4*i + 9. Determine g*f(r) - 5*m(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + 6*s + 7. Let d(b) = 7*b**2 - 11*b - 13. Let l(m) = -3*d(m) - 5*u(m). Factor l(j).\nAnswer: -(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 220*a**2 + 107*a**2 + 119*a**2 - a to the form k + v*a**2 + x*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 - 345. What is the smallest common multiple of h and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-11)*(-104)\/260.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 12251 (c) -1\/2 (d) -2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j**(1\/3)*j)\/j)\/j)**(-21\/4)\/(((j\/(j**(1\/2)*j)*j)\/j)\/j)**(31\/3)*(((j*j\/j**1)\/j)**(-25\/3))**(-2\/31) assuming j is positive.\nAnswer: j**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/6 - 61*z\/6 + 59\/3 = 0 for z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/216863?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071611015 rounded to 7 dps?\nAnswer: -0.0000716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**6\/120 - 11*t**5\/60 - t**4\/24 + 13*t**3\/6 + 28*t**2 - 8*t. Calculate m(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.05. Let f = 2.05 + t. Let q = 2.00015 - f. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-18 - -11)) + 0 - (-4 + -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 5:47 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59859*t + 28347 wrt t?\nAnswer: 59859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + b + 2*b = 69, 5*b + 149 = 4*k. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 n when three letters picked without replacement from {k: 2, f: 7, r: 4, y: 3, n: 1}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 2*d**2 + d - 2. Let z be s(2). Suppose z = -5*r + 14 + 6. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2092870?\nAnswer: 2\/1046435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553798165.\nAnswer: 5, 110759633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8146*a - 8137*a + 16284*a.\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:45 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(468) + 2*(sqrt(468) + 0 - sqrt(468)))**2 + sqrt(468) - (-1 + sqrt(468))*1)*-2 - (4 + -2*sqrt(468) - (0 + 3*sqrt(468)))**2).\nAnswer: -12651 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) -0.3 (d) -3\/5 (e) 1\/11 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2 - 652*w - 5. Let l(d) = -185*d. Calculate l(k(r)).\nAnswer: 1850*r**2 + 120620*r + 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12437743 is divided by 2460.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 107. Suppose y*s + 25 - 5 = 0. Let l be (-48)\/(-81) - (-4)\/(-6). Sort s, l, -0.4, 1.\nAnswer: s, -0.4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and 77\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-8) - (-1)\/(-4). Suppose l*c = -f + 21, 4*c + 0*f + f = 17. Suppose 6*z = 2*z + c. Which is greater: -2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*h + 4816 - 36299, 78676 = -5*o - 2*h. Let g = -73034 - o. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3648 + 3570. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - 5 - 9) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -7. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a*g**2*p*z - 3*a*g**2*z**2 - 4*a*g*p*z**2 + a*g*z + 2*a*p*z + 13*g**2 - 2*g*p*z**2 + z**2 - 2 wrt g.\nAnswer: 24*a*p*z - 6*a*z**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = y - 6*y, -3*a = -5*y + 11. Let t be (-3)\/(-6)*2\/1. Calculate the greatest common divisor of t and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 26?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3261.6733+2889406\nAnswer: 2892667.6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16049700 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 10933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1, -c - l + 56 = 13. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128247 is divided by 2565.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*628\nAnswer: -1632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-35)*(138\/12 - 8). Suppose 1266 = 8*t + 434. Which is the second biggest value? (a) t (b) n (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -21. Let j = 5.7 - m. Let k = -0.2 - j. What is the nearest to 0.2 in -5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:46 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*p + 10, 4*p = -35*h + p + 205 - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-1)\/(1\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*q**2 - 40*q**2 - 44*q**2.\nAnswer: -302*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 428\/605 - -31\/121. What is the common denominator of b and 3*(-1)\/6 - (-187)\/990?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14*4\/(-8))\/(-1). Let t = j + 3. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 4604. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**3 + 2*n**2 - 1. Let z be a(-1). Let 2*g**3 - 3*g**3 - z + 9*g - 2*g**3 = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 652\/5. Let g = -65.7 - -65.6. Which is the nearest to g? (a) -1\/7 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30451206 divided by -282?\nAnswer: 107983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 10*g. Let k be (8 + -3 - 0) + (-7)\/7. Let l(i) = 2*i**2 + 9*i. Give k*q(o) - 5*l(o).\nAnswer: -2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56465 rounded to three decimal places?\nAnswer: -0.565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5197c1 (base 13) to base 8\nAnswer: 7212733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*(-56448)\/(-896).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 7057, 2 in increasing order.\nAnswer: 2, 8, 7057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161 + -156. Suppose c*l = 5, -b = -0*b - 2*l - 1739. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p**2 + 2*p**2. Let v(i) be the second derivative of i**5\/60 + 5*i**3\/6 + 7*i. Let y(q) be the second derivative of v(q). Determine j(y(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142 - -127) + (-7 - (4 + -2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 - -22)*6\/14. Solve 10 = 7*u + s*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1212*l**2 - 27*l + 4. What is the tens digit of q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87 or 1079878?\nAnswer: 1079878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miimimmmmmmmmmmm. Give prob of sequence mimi.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/9 - 221*l**2\/9 + 8416*l\/9 + 8636\/9 = 0.\nAnswer: -254, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in 0.02, -0.1, 0.3, 1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 611 - 1170 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 2 + 12*r - 12*r + 2*r**2 as u*r + p*r**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 14. Let p be b(17). Let i(j) = -43*j + 84*j + 4 - p*j. Let g(t) = 1 - 3 + 3 + 0. What is -4*g(o) + i(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**7\/1890 - 11*d**6\/90 + 73*d**5\/10 + 253*d**4\/2 + 1587*d**3\/2 + 873*d**2 - 1. Determine o so that g(o) = 0.\nAnswer: -3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 42184*s - 42186*s - 73, 5*s - 6*w = -176 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*u = j, 3*j - 3*u = 0. Let r(f) be the first derivative of -f**4\/4 + f**3\/3 + f**2\/2 + 27*f + 434. Give r(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16478318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 25. Let v(i) be the second derivative of i**3\/2 - 9*i**2\/2 + 3*i. Let c be v(6). What is the highest common divisor of c and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/120 - a**5\/3 - 17*a**4\/24 - 7*a**3 + 6*a**2. Let y be l(21). List the prime factors of 14\/y + (-377)\/(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22845 + -22659. What is the least common multiple of v and 24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -1.7844?\nAnswer: -1.7844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-81)*18\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - -4*sqrt(121)*-5) - sqrt(121))\/((sqrt(110)*4)\/sqrt(10)).\nAnswer: 19*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 4, g: 1, m: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -7. Suppose -4*r = -a*r - 2*r. Suppose -6*q + 948 - 228 = r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**8\/14 + 13*h**7\/42 + 25*h**4 + 28*h. What is the third derivative of m(v) wrt v?\nAnswer: -480*v**3 + 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269.390888 + 272.314890414. Let t = k - 2.924. Round t to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115427 is divided by 334.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 424\/(-28) + 4 + -6*(-6)\/252.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -39*v - 26. Calculate f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 94679*z + 86.\nAnswer: -94679*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 1. What is o(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.58437 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.1492 rounded to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 - 563*q**2 - 2*q + 210 wrt q.\nAnswer: -6*q - 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*9\/(-6)*46. Suppose k + 5*a = o, 2*k - 2*a + 0*a = 44. What is the third smallest value in 1, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:11 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let t(n) = -5*n**2 - 7*n + 2. Let h(m) = -6*d(m) - t(m). Let x be h(7). Let y be (1\/(-1) - 0)*x. What is the highest common divisor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136104092.\nAnswer: 2, 1291, 413653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 + 231. What is the nearest to -2\/5 in -2, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19425 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 4*q + 1. Let h be r(3). Suppose -5*v = 2*n - 39, h*n + 10 = 2*v + 2*n. Let p = v - -5. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162000061 a multiple of 2929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z + 13. Let c(d) = -29*d - 36. Let s(x) = 3*c(x) + 8*l(x). Let b(r) = -r + 4. What is 3*b(p) + 2*s(p)?\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + 199. List the prime factors of z.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.511 take away 2640795364?\nAnswer: -2640795368.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-164)\/4 + 1\/1. Let g = 63 + j. Suppose 2*t + g - 63 = 0. Calculate the highest common divisor of 220 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145.7 and -2.53.\nAnswer: 368.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = 4*p + 12, 2*p + o + 8 = 0. Let b be (-18)\/(-12) + 1\/(-2). Sort b, -5, p in descending order.\nAnswer: b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 25 = -17*j. Let w = j - -13. What is the remainder when 56 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = 4*o, -g + 5*o = 2*g - 20. Suppose g*w = -3*c + w + 5, 2*w = 5*c - 7. Suppose 5*f - c = 7. Calculate the greatest common factor of 10 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202001121 (base 3) in base 16?\nAnswer: 11fc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v + 31. What is b(-9)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*w = 337*w + 182. Solve 4*u + h - w = 0, -2*h - 1 = -2*u - 3*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - 5*y**2\/2 - 2*y + 2. Let v(a) be the first derivative of x(a). What are the prime factors of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7460*k - 134274. Give c(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (1 - -3) - 0. Let w(t) = 1. Let n(q) be the first derivative of -q**2 + 9*q + 28. Let p(k) = -n(k) + 3*w(k). Determine p(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -28*r**3 + 3*r**2 - 9*r - 10. Let u be w(-1). Calculate the greatest common factor of u and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32100 divided by -16050?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349.9 rounded to the nearest one hundred?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33*2\/12)\/(4\/232). Suppose -23*y + m = -3. What is the highest common factor of y and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 755, 713, 671, 629, 587, 545?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, j: 1}. Give prob of sequence kj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:15 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*h - 3 = -a, 5*h - 24 = -3*a. Let k(g) = 2*g**2 + 2*g - 3. Let z(x) = 5*x**2 + 5*x - 7. What is a*z(n) - 7*k(n)?\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v + 20*v - 49 + 429 - 23*v + 13*v to f + a*v and give f.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 3. Let o(m) be the third derivative of -m**4\/8 - 3*m**3\/2 - 39*m**2 + 2. Calculate -2*o(x) + 7*y(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 1255, 2782, 4919, 7672, 11047?\nAnswer: 15050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 261*h**2 - 1509*h - 58579. Determine g(-256).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a**2 - 2*a - 1. Let c = 11 + -13. Let i be 3\/2 + c\/(-4). Calculate w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6*q + 75 = 0, -3*o - 5*q + 621516 - 621590 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113309 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 - m - 9. Let t be d(0). Let y = t - -8. Let f(r) = -134*r + 1. Let s be f(y). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x - 7. Let v(r) = 17*r - 8. Let s(c) = 6*h(c) - 5*v(c). Let o(d) = 120*d**2 - 2 + 2 + 135*d**2 - 254*d**2. What is s(o(w))?\nAnswer: 11*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353a76a (base 11) to base 8.\nAnswer: -27442456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwimvimr. Give prob of picking 2 m and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 564038?\nAnswer: 1692114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:39 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36573, 36811, 37207, 37761, 38473, 39343?\nAnswer: 40371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 7) + -2 - 1) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 69143 = -7706. What is the least common multiple of b and 6?\nAnswer: 14874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-804)\/60 + 14)\/((-77)\/55)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-34)\/(-6) - (-6)\/(-12)*12)\/1. Which is smaller: 2228 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000961 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24455, -24454, -24453?\n\"Answer: y - 24456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262450?\nAnswer: 2, 5, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 4 (b) -51 (c) -2\/25 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 430 in -0.071, -3, -5, -1\/673?\nAnswer: -1\/673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)*x**(3\/8))\/(x**(3\/4)\/x)**(-2\/55))**(1\/2) assuming x is positive.\nAnswer: x**(-2919\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/5 + 7532*p\/5 + 7534\/5 = 0.\nAnswer: -1, 3767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 3. Let f(d) = d**2 + 9*d + 9. Let s be f(-9). Suppose s*g = -114 + 87. What is the second smallest value in -0.5, g, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - c = -10, -5*f + 0 = 2*c - 16. Sort f, -3, 5, -2 in increasing order.\nAnswer: -3, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/t**0))\/t)\/t)**42\/(t**(-6)*t*t*t*t**(-6)) assuming t is positive.\nAnswer: t**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:56 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - p + 6*p - 57, p - 21 = -y. Suppose 4*c - d - 12 = 0, -3*c = -5*c + 4*d + 20. What is the lowest common multiple of c and ((-18)\/8 + 3)*y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 6*s = s + 8, -12*s = -4*v - 48 + 124 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506 and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c)**(2\/13)\/(((c**(1\/4)*c)\/c)\/(c**(-2)*c)) assuming c is positive.\nAnswer: c**(-349\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 27*u**2 + 63*u - 101. Let n be h(23). Let f = 1133 + -2989. Let j = f - n. Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117752505 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 727272*x - 1454556.\nAnswer: 3*(x - 242426)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/((-59)\/(-8) - 4) and -67\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27*c**2 + c - 123. Let r(n) = -54*n**2. Calculate g(r(h)).\nAnswer: 78732*h**4 - 54*h**2 - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03067 or -1?\nAnswer: -0.03067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1105 - -1157. Let a be ((-60)\/(-25))\/(1\/5). Suppose -a = -w + 1. Calculate the greatest common divisor of p and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -613703*i**4*x**3 + 15*i*x**3 - i*x**2 - 6*i*x + i - 15*x**2 wrt i?\nAnswer: -7364436*i**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8154 from -15580.\nAnswer: -15582.8154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -110995368.1 to the nearest 1000.\nAnswer: -110995000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 288, 271, 236, 177, 88?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27626 - -27855. Let a(s) = 29*s**3 - 2*s + 1. Let q be a(2). Do g and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 - -2 - (79 + -78))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 5. What is the tens digit of m(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*((-6480)\/1350)\/((-9)\/(-15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/12)\/(1635\/40548)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, 1 q, and 1 t when four letters picked without replacement from qqvtqqqqqaatoqvqqvv?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -326584b?\nAnswer: -3265846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**3 + w**2 - 12*w - 23*w**2 - 8*w - 111*w**3 + 57*w**3.\nAnswer: 10*w**3 - 22*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 0. Let h be (-2 - -16) + 5 + -3. Suppose 2*o + s*o = h. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/12 - 7*j**3\/3 + 28*j**2 - 32*j + 12. What is k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, -20, -44 in decreasing order.\nAnswer: 4, -1, -5, -20, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -341\/5, -17\/4 in descending order.\nAnswer: 4, -17\/4, -341\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 10*z + 8. Let f = 99 - 91. Determine p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 101.1, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 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: Suppose -2*y + 218 = 4*m - 446, 3*y = -2*m + 332. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 22. Let o be h(18). What is the nearest to -12 in -0.1, o, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01462782 - -0.01451. What is o rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**3\/3 - 14246*v**2\/9 + 3803*v\/9 + 950\/3 = 0.\nAnswer: -950, -1\/3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 39\/(-4 - -1). Suppose 0 = 14*j - y*j - 10. Let r be (6\/15)\/((-4)\/(-40)). Solve r*l + 12 = 2*b, 0 = 5*l + b + 3 + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 20 = 2*y, -y + 10 = -0*x + 3*x. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -149? (a) -135 (b) 0 (c) -64 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12857, -21032, -29205, -37376, -45545, -53712, -61877?\nAnswer: -70040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-7))\/(-1*1\/1). Suppose -2*b = -w, -6*r + 3*b + 409 = -r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -186 (c) -3 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus 0.091?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 10.298.\nAnswer: 7.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0613 times -0.729\nAnswer: -0.0446877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.1 or -1?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063321043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -1514, -3409, -6042, -9401, -13474?\nAnswer: -18249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 8221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.98663 - -8.486633. Let j = -1.5 + 2. Let h = r + j. Round h to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -16, -4*f = -2397*c + 2396*c + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-18)\/480*5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -1, -2, 0.1, 91.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(-4)\/60*35. Suppose 2*x = 4*x + l - 6, -x + 4*l = -v. Solve -c - y - 5 = 0, 0 = -0*c - c - x*y - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 17*y + 144000000 = 0. What is y rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228\/165 - ((-10)\/35)\/(60\/(-252)). Which is the closest to 0? (a) 38 (b) -1 (c) 8 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 21*r - 339 + 5109. Are 531 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160 - 65. Let t = q - -32. Let b = t + -134.9. What is b rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*6*(-15)\/(165\/(-418)). Suppose -232*q + f*q = -2088. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44680 (base 9) to base 2\nAnswer: -111010000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8) + (-2 - (-309)\/120).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 151, 266, 381, 496, 611?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:42 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 9*m**2 + 20*m + 21. Let v be p(11). Sort 1\/7, v, 1, 5 in ascending order.\nAnswer: v, 1\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140404480 divided by 1280\nAnswer: 109691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109574*m - 109568*m + 219141*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 14 - 2. What is the common denominator of (-2784)\/1827 - 1\/7 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 2*b**2 - 2*b**2 - b**2 - b**2 with respect to b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 3)*2\/(-4). Suppose 0*j + f = j. Is j bigger than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 + 4*w + 3. Suppose o - 4*o = 4*l + 14, -4*o = -3*l + 2. Let r be j(l). Does 4 divide (5 - 3)\/(6\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5194*n - 63*n**2 + 5194*n)*(-5 - 2*n + 1 + 1) to f*n**3 + y + d*n + g*n**2 and give g.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-2\/11)\/(q\/(q**(-2\/19)\/q*q)*q**(-1\/4)*q*q)*(q\/q**1)**(1\/11)*(q**2)**(-6\/13) assuming q is positive.\nAnswer: q**(-40569\/10868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2341211 (base 5) to base 13\nAnswer: -16933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -177, -0.05, -4, 2\/15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.87 - -53. Let d = -0.13000185 + g. Round d to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434980 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -3 + -3 + -20 + (40 - 30)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*-2*sqrt(228))\/(2*(sqrt(12) - -2*sqrt(12)))*5 + -2)**2*3.\nAnswer: -120*sqrt(19) + 5712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + 2)) + 19 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.917916 hours to minutes.\nAnswer: 115.07496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -69. Let n = 24 - j. What is the third derivative of n*z**3 - 6*z**3 + 2*z**2 + 6*z**3 - 5*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1317 - 918. Suppose 3*h = -2*d - 0*h - l, -h = -5. Round d to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/45606 and -17\/1254.\nAnswer: 866514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4 + 240*z**3 - 1029*z**2 - 1734*z + 2520 = 0. Calculate z.\nAnswer: -84, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1441013214 - -44?\nAnswer: 1441013313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 63*m**2 + 148928*m + 177 - 148926*m to i*m + l*m**2 + u and give u.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11937, 23781, 35523, 47163?\nAnswer: 58701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(2736) + -3 + 1)**2.\nAnswer: -96*sqrt(19) + 10947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*2*3 + ((sqrt(117) + 1)*-2 + sqrt(117))*5)**2.\nAnswer: 1020*sqrt(13) + 33913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d + 0*d**3 + 0 - 26*d**2 + 11\/40*d**6 - 3\/4*d**4 + 7\/20*d**5 - 1\/35*d**7. Factor b(n).\nAnswer: -3*n*(n - 6)*(n + 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**3 + 21*r**2 - 28*r + 31. Let a be x(-23). Suppose 638926 = 51*d - a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1952 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 12. Let j(g) = -g**3 + 5*g**2 - 4*g - 1. Let p be j(3). Let w be a(p). Let f be (-2)\/3 - 13\/3. Sort 2, f, w.\nAnswer: f, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**3\/3 - 77*z**2\/2 + 160*z + 48. Does 15 divide v(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50745, 102450, 154155, 205860?\nAnswer: 257565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11750 is divided by 1612.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -9\/4, 0.5, 46\/3, 0.1, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100573720 divided by 26?\nAnswer: -3868220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002375032 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j - 115. Give i(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/13608?\nAnswer: 5\/13608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + u**2)*(20*u**2 + 22*u**2 + 23*u**2)*(-4*u + 4*u - 2*u).\nAnswer: 260*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Let z(b) = b**2 - b - 3. What is the remainder when z(h) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 = -5*n. Suppose 4 = n*f + k, 2*f - 2*k = 5*f - 8. Let j = 1899\/4 + -474. Which is the smallest value? (a) f (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z. Let w be 12\/(-4) + 1 + -4. Let k be (-27)\/(-12)*(-8)\/w. Let u(g) = 2*g + 0*g - k*g. Calculate u(n(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55759 - 21926 = -2*l - 5*c, -5*c + 25 = 0. Round l to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1431*d. Let k(y) = 2*y. Calculate g(k(x)).\nAnswer: 2862*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 9. Let d be u(0). Let f be (0*(-3)\/d)\/2. Let w be f + (-2)\/(-1) + -1. Solve n - 6 = -w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 - -4)*(-4383)\/27 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r - 23. Let o(q) = -6*q + 11. Let y(c) = -13*o(c) - 6*u(c). Does 5 divide y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -638.9897 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/68260337 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qksssyskysvsssskjs. What is prob of sequence ykv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14727544 divided by -6157.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1, 5, -224?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 3*o = 3702, -4*o - 5552 = -3*m. What is the least common multiple of m and 352?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6, 0 = -4*t - i + 4*i + 10. Let w(h) be the first derivative of h**4\/4 - h**3 - h**2\/2 - 5*h + 1. Give w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139587605 and 1905?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 4, -1 in decreasing order.\nAnswer: 4, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -551*k**2*q**3 + 6053*k**2*q**2*s - 364*k**2*q**2 - k**2*q + 3885*q**3*s**2 + 2*q**3 wrt s.\nAnswer: 6053*k**2*q**2 + 7770*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 4, x: 2}. Give prob of sequence jjz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 17. Let i be y(-7). Let k = 1 + 0. Solve 4*s - k = i*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96, -98, -100, -102?\n\"Answer: -2*h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8702 + 8608. Let d(v) = v**2 + v + 1. Let x(s) = 47*s**2 + 94*s + 94. Calculate a*d(w) + x(w).\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343\/52 + -27\/4. Let w = -1.03 + -45.97. Let s = 49 + w. Which is the biggest value? (a) 0.2 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -29. Calculate the remainder when t is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -543, 46.\nAnswer: -543, -5, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0.3. Let v = 37005 - 37005.1. Let w = -26 - -44. What is the closest to v in d, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.253816m to kilometers.\nAnswer: 0.009253816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 187*v - 12268. What is the remainder when w(-67) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 375\/135 + 2\/9. Solve 0 = r - 6*r - 20, -19 = w*c + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**11*g))\/g*g*g\/g**16 assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-5)\/(-10)). Let t be (2 - p)\/(1\/(-3)). Let u = t + 43\/3. Is -2 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -0.12626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887440432?\nAnswer: 2, 55465027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2.9, 3, 2, -11?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5493 divided by -1831.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 1 = -l, 0*q - 3 = -3*l - 2*q - 0 + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n + 6. Suppose -4*w + s = 10, 4*s - 9 + n = 5*w. Let j(p) = -p + 1. Let y(k) = k - 4. Let x(a) = -2*j(a) - y(a). What is x(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484 * 0.5\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 1 + 4 - -85 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227118025 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 37 - 67 = -5*r - 3*i + 17, -r + 5*i - 4 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, t: 5, q: 2}. What is prob of picking 2 t?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 23*m + 112. What is n(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/9)\/((-6)\/99 + 0). Let i(p) = -5*p + 11. Let w(t) = -2*t + 4. What is m*w(c) - 4*i(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((d + 1 - 1)*(3*d + 2*d - 4*d) + 4*d**2 - 3*d**2 - 3*d**2 + 828 - 401 + 11*d**2 - 9*d**2)*(105 + 14*d - 105) to o + v*d**2 + y*d + c*d**3 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.005\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 16*m**2 - m - 3. Let a be w(-7). Calculate the greatest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 18. Let s(u) = -16*u - 91. Let r(y) = -11*j(y) - 2*s(y). Determine r(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2301001343?\nAnswer: -2301001402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -6*g + 400. Let j(c) = -g*c + 133*c + 103*c. Let w(b) = -b**2. What is j(w(r))?\nAnswer: -194*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3513*f**3 - 3927*f**2.\nAnswer: 21078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - sqrt(22)\/sqrt(2))*-4 - (5 + sqrt(22)\/sqrt(2))) + (0 + sqrt(704))*3)**2.\nAnswer: -230*sqrt(11) + 5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 13, 727, -0.3, 21 in decreasing order.\nAnswer: 727, 21, 13, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(20\/9))**28 assuming i is positive.\nAnswer: i**(-560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 7*v**2 - 7*v + 19. Suppose -3*q - 16 = 299. Let j be (-2*(-2)\/4)\/((-21)\/q). What is the units digit of y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 23 = -5*n, -5*f = -2*n - 31 + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*s**2*v**4 - s**2*v**3 - 15*s**2*v**2 - s**2*v - s**2 - 2*v**4 wrt v?\nAnswer: -3552*s**2*v - 6*s**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)*12\/24. Let z = i + 29. Suppose 2*m = -2*c + 40, m + 2*m - 50 = -c. Calculate the remainder when z is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -35*d**3 - 8*d**2 - 419*d + 864. Give w(2).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200 - -364. Let i = -158 + x. Solve -3*n - 9 = b - 7*n, i = b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 2)\/(-3 - -2). Let r be ((-2 - 1) + 4)\/(k\/52). What is the highest common factor of 104 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-19 + 23)) + 2 + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -41. Let a be (-3)\/(-1) - d - -3. Solve a*x - 6 = -16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/3)\/((-6)\/(-3)). Find m, given that m**2 + 3*m**3 + 5*m**3 - d*m**2 - 2*m**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/16 and -145\/13896.\nAnswer: 27792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, -31\/64, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6527 - 1098233.\nAnswer: -1091706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.43? (a) 7 (b) -0.3 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.52 + -21.52. Let k = -0.3 - -0.5. Which is the fourth smallest value? (a) z (b) 4 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-4)*(100 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24704411 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.284437625 to 5 decimal places.\nAnswer: 0.28444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m - 1039. Let s(z) = 2*z. What is s(b(l))?\nAnswer: 20*l - 2078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588533?\nAnswer: 3, 19, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 57847335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/8 - 9*273\/(-56). Solve 7*j = 2 - b for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 1, c: 1, z: 5, o: 3}. Give prob of sequence oooc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1036)\/(-104) - 12\/24*20?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (15 + (-12 - 10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 + -0.16. Let f = -4 - a. What is f rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*y + 5891 + 661 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 13*x = -8. Suppose 2*w + 0*w = 10, x*w = n - 1316. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1))\/((-2)\/(-80)). Suppose 0 = -3*v + 5*q + 13, 0 = 2*v + 3*q - 4*q - 11. Let y be t\/v*(-5097 + -3). Round y to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkgqqwkhgqwqh. What is prob of sequence wkhw?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -3560\/229 and -17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - 3?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + -4.2. Suppose 68 + 67 = 5*y. Let l = y + -82\/3. Sort 1\/7, v, l.\nAnswer: v, l, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 8*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 51986.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 15 = 12*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-14940)\/(-48) + (-4)\/(-16))*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.94 - -69.94. Let q = -68.6 + j. Which is the nearest to 0.7? (a) -1\/7 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166209 is divided by 4362.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1465*w + 2937. Let u be f(-2). Solve -28 = u*p - 14*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 7*i - 58. Calculate l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 6 - 18 = 0. What is the closest to 0.1 in n, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 402849964 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 7830?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93\/4 + 23. Suppose -z - 1 = -2*h, 4*z + 1 = -3*h - 14. Let q = 0.4 - 0.3. What is the smallest value in h, 1, q, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 2672*p**4 - 1885801*p**3 + 134470158*p**2 - 2092128444*p - 17804500056 = 0. Calculate p.\nAnswer: -6, 42, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, c: 10}. Give prob of picking 4 a.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 36. Let p be ((-20)\/(-2))\/((-6)\/(-27)). Calculate the highest common divisor of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 9*x - 10. Let m be w(-2). Put m, 174, 0 in descending order.\nAnswer: 174, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256421 and -27?\nAnswer: 256448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*x - 522. Let y be (1114\/4)\/(10\/20). Let j = y - x. What is the highest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44a0624 (base 11) to base 13\nAnswer: 182a810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-9 + 13 - 1) - (25 + -1 + 5)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - 2 - 1 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -47*k + 1. Let x(h) = h + 1. Let m(p) = q(p) - 2*x(p). Let y be m(-2). Round y to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s**3 + 6*s**2 + 68*s + 67. Calculate w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64694984773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (-2*sqrt(640))\/sqrt(5) + 5*(sqrt(180)\/sqrt(144))\/(sqrt(90)\/sqrt(36)))**2.\nAnswer: 135*sqrt(2) + 779\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 104 = -2*d + 534, -4*s = 2*d - 646. Let u be ((-45)\/10)\/(2 + d\/(-156)). Calculate the highest common divisor of u and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 10 = 13*a - 16*a, 0 = 3*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12538 is divided by 190?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u + 6 + u**3 - 6*u - 3 as g*u**2 + q*u + d*u**3 + j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4220*s + 38021. What is a(9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-790 - 399 + 4501)*(i - i + 2*i**2)*(-i + 5*i - 5*i).\nAnswer: -6624*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-9)*z)\/z)**12)**(-1\/7) assuming z is positive.\nAnswer: z**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a*o**2 + a*o*x**2 + 25963*o**4*x**2 + 57827*o*x**2 wrt o?\nAnswer: -20*a + 311556*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2 - 0 - -1). Suppose -x*g = -8, -u + g + 631 = -385. Suppose 2*c = d - 2*d + 509, 2*d - u = -3*c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137090717\/142 + -965436. Let h = f + -6\/71. Let o = -8 - h. Which is the third biggest value? (a) o (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.07 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16077)\/(-207) - 77)\/(((-38)\/9)\/1)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 174, -17, 5, 1.\nAnswer: -17, -5, -2, 1, 3, 5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 604 = 32. Let t = g + 157. Let m = 2\/91 - 4\/13. Which is the nearest to m? (a) 1\/3 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 45. Let n be 880\/(-70) + 3\/(-7). What is f(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 168191575 or 168191576?\nAnswer: 168191576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 - 236. Solve i*s + 10 = 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1744*z + 81. Is m(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 141, 467, 1109, 2175, 3773, 6011?\nAnswer: 8997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4\/4 + 4989*p**3\/4 - 1011303*p**2\/2 - 6203169*p - 18745182 = 0.\nAnswer: -6, 753, 922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -879c - 4d45?\nAnswer: -d703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p**2 - 26*p - 2. Calculate the remainder when h(-4) is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*-4.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3385 - 0?\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -10*p + 9*p - 1, 5*y - 4 = 2*p. Suppose -m - c = 0, p*m = c + c. Let a(z) = z**3 + z. Let o be a(0). Solve m*q + q + 2 = o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 4)*(2 - 2 - 2*w)*(2*w**2 - 2*w**2 + w**3) in the form c*w**2 + g + j*w**4 + i*w**3 + y*w and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 10*x - 7. Let r = 466 - 461. Suppose 0 = -3*h + r*t - 8, 0 = -2*h - 0*h + 3*t - 4. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*z**2 + 58*z**2 + 15*z - 163 - 163 + 326 wrt z?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574370 rounded to the nearest 1000?\nAnswer: 574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 - p. Let z be g(2). Which is the smallest value? (a) -0.2 (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - -6 - (-3)\/((-207)\/(-177)). Which is the biggest value? (a) 2\/7 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o - 1. Let w be r(-1). What is the greatest common factor of 44 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 3*i**2)*(i**2 - i**2 - 6*i**2) + 28*i**3 + i - 28*i**3 + 6*i**4.\nAnswer: 24*i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -285, -435, -715, -1149, -1761, -2575?\n\"Answer: -4*l**3 - 41*l**2 + l - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795 < 2795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 54 = 3*j, 2*q - 63*j + 27*j + 131 - 33 + 108 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 548536*q**2 - 11643.\nAnswer: 1097072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s = -5*s - 40. Solve -3*i = m - 4, i - 2*m = s*m + 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 477, -1796, -4071, -6348, -8627?\n\"Answer: -m**2 - 2270*m + 2748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3370 + 3370 + 115*x)*(-2 + 0 + 0 + (-4 + 3 + 2)*(0 + 1 - 3) - 1 + 0 + 3).\nAnswer: -230*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(5\/6))\/k**26*k*k*k*(k**(-26)\/k)\/k*k*k\/(k*k**11*k) assuming k is positive.\nAnswer: k**(-371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)\/(sqrt(6) + (sqrt(726) - sqrt(726)*3 - sqrt(6))))**2 + (sqrt(110) - (sqrt(110) + -1*sqrt(110)*5))\/(sqrt(810)*1).\nAnswer: 9\/44 + 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-7*o - 3*o + 3*o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.941 plus -0.08?\nAnswer: -3.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-7)\/m*m)*m*m\/(((m\/m**(4\/11)*m)\/m)\/m))\/(m**(1\/8))**(-27) assuming m is positive.\nAnswer: m**(1209\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/9 of a day?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/40 - (-171)\/(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*k + 22. Let j be 0 - k - (-4 - -4). Let i(a) = -7555*a**2 + 3*a + 4. Let f be i(j). Round f to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-6) + 2)*3. Let z(g) = -2*g - 6. Let b be z(a). Is (3 - -114 - b)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5)\/w)\/w*w)\/w*w*w**(4\/3)\/w)\/(w\/(w\/(w*w*w**1)))**37 assuming w is positive.\nAnswer: w**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46758059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 11. Let r(v) = -2*v - 5. Suppose 5*m + p = 15, -5*m + 0*m + 20 = 2*p. Suppose -4*b + 3*b = 5*o + 50, m*b - 26 = 4*o. Give o*r(x) + 4*l(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -31. Calculate the common denominator of (-118)\/g + 1\/(-2) and (-63)\/10 - 2\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y. Let r be v(1). Let p = 157449\/4 + -1731931\/44. Which is the fourth biggest value? (a) -2.3 (b) p (c) r (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.64122 grams to kilograms.\nAnswer: 0.02564122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1275 + 555 = 0. Let p be ((5 - 8)\/j)\/(10\/(-8)). Is p not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 171. Let c = q - -111. Calculate the least common multiple of 48 and c.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 319*f - 4267. Calculate g(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 + x**2 - x + 5. Let c be b(1). Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*(31 - 4). Suppose g = c + c. What is the third derivative of c*t**2 - 8*t**2 + t**5 + 0*t**5 wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 14}. What is prob of sequence mmmd?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (5 - 0)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 1. Let f be a(1). What is the tens digit of f\/(-10) - (-232)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7*o. Let k(c) = 3*c**2 - 4*c**2 + o*c**2. Let a(s) = 78*s + 16 - 77*s - 16. Calculate a(k(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*-9*10\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -48, 0 in increasing order.\nAnswer: -48, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30210 (base 4) in base 8?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-152)*(-4185 - -4281).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 2, l: 1, z: 2, b: 2, u: 12}. Give prob of picking 1 u, 1 z, and 1 b.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.1 + 7.4. What is the nearest to -0.1 in r, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90948909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.591 + -0.791. What is the nearest to -2\/15 in 0, l, 30?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = -15*x + 230. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 19. Let p = f + 2. Suppose -p - 3 = -n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -z. Let d(t) = 2*t**2 + 3. Is d(z) 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 9:08 PM and 2:18 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h**2 + 2*h + 9. What is c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -5*r**2\/2 + 43*r + 239. Let d be n(8). Solve d*c - 18 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 23882386.\nAnswer: 1\/23882386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*27\/(-36))\/(55\/10).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 70 - 32 = t + 4*p, 4*p = 4*t - 112 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.289933 days?\nAnswer: 13377.50352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 j when four letters picked without replacement from {e: 3, p: 1, j: 1, g: 1, q: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*y + 2*n + 147, -4*n = -5*y + 119. Let m = 117\/5 - y. Let a be (-2)\/(-9) - (-35)\/45. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - d - 48 + 26 + 20 + 2*d.\nAnswer: (d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.607 and 0.16?\nAnswer: -0.25712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-2))\/10)\/(4*23\/(-184)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73053 less than 22.9469949?\nAnswer: 22.2164649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**4 - 24*n - 41.\nAnswer: -24*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 + 4*a. Suppose 3*n = y - 20, 2*n + 70 = -0*y + 4*y. Let f = -17 - -11. Let i(k) = -15*k**2 + 0*k**2 - 5*k**2 + 11*k. Give f*i(s) + y*q(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 - 28 - 27*r**3 + 1 + 17 + 58*r**3 + 10.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 845214 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 17 + 11)*(3*r**3 - 7*r**3 + 3*r**3) + (0*r + 2*r + 0*r)*(-3*r + 3*r - r**2).\nAnswer: -89*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -4 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.1 (b) 5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*i, -m + 17 = -3*i + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40525631 to 3 dps.\nAnswer: -0.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (5\/(-6))\/(9\/(-54))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 390 = 22*l - 27*l, 2*k - 390 = -5*l. Calculate the greatest common factor of 132 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*k - 276*k - 631 + 1786 = 0 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2)*(1 - -1). Suppose 2*y + g*u = 4*u - 4, 4*u = 4*y - 48. Let l be y\/15 - (-1)\/(-3). Which is the closest to -1? (a) -0.2 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-1 + 3)) + (-69 - (52 + -112))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -23*r**4\/4 - r**2 - 1834*r - 996. What is the first derivative of b(m) wrt m?\nAnswer: -69*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 22 - 6 - 16.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 104 - 164. Suppose -3*k - 4*k = -1596. What is the greatest common factor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -115\/6. Which is the nearest to 0? (a) 0 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 18065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(-7\/6)\/(o**(-13\/3)\/(o**(-12)*o)) assuming o is positive.\nAnswer: o**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1658063289 divided by 2\nAnswer: 1658063289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*c - 112*c + 520 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*-22*27\/54\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 8*g - 3. Let z be n(6). Suppose 1 = -2*y - z. Is -5 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5 - 0) + 13 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j + 128*j - 20*j + 125*j to k + w*j and give w.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 13.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 222260 - 30098 - 58277. List the prime factors of r.\nAnswer: 3, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101333103031 (base 4) to base 3\nAnswer: 22212120202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - w = -71, q - 44*w - 885 = -46*w - 869 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299143 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - x = 4, i = -2*x - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 11*x**4\/12 - 7*x**2 - 2*x + 7. Let n(u) be the first derivative of l(u). What is the derivative of n(v) wrt v?\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/4 - 5*w**3\/3 + 3*w**2\/2 + 2*w + 2. Let c be a(-6). Let d be (-1)\/(-3) + c\/12. Solve d + 1 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(152)\/sqrt(8))**2 + 2*2*sqrt(19).\nAnswer: 4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:58 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/22)\/((-4)\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 6*d)*(-17 + 3 - 13) + 9 + d - 9 + 1.\nAnswer: -80*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360 divided by -6?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 39) + -6 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Suppose r = z - 0*z. Let a be (-20)\/(-6)*(6 - z). Solve 0 = -5*n + n + a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119220 - 3912 = -3563*j - 148354 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 426 in 4, 1\/11, -23\/5, 14\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - -11?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = 10*a + 5256. What is the remainder when a is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452511882 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 14*f - 72. Let o(n) = -2*n**3 + 3*n - 3. Let t(m) = 2*m**2 - 21 + 20 + m - m**3 - m**2. Determine f*t(i) - o(i).\nAnswer: -i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37971982 divided by 28274?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241698285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9*i + 5 - 39 = 0, 0 = -5*o + 5*i + 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0*x**3 + 0*x**2 - 1\/3*x**4 + 1\/35*x**5 - 3 + 5*x. Factor m(n).\nAnswer: 4*n**2*(n - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 q when four letters picked without replacement from qqwqwqqqqqqqqqqqqqq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/5 - 2531*h\/5 - 100492 = 0. What is h?\nAnswer: -185, 2716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2663475527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 3*a**2\/2 + 3*a + 130. Let g(f) = -1. Give 4*g(m) + w(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*n - 5*p + 4*p, -3*n - 4*p = -45. Solve 3*y + 0*y - n = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-392)\/(-35))\/28)\/(1\/15*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 48 + 156 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3803988*j - 94 = 5*o + 3803991*j, 0 = 15*o - 5*j + 310 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by -1?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 8*a**2 + 13*a - 13. Let t be z(9). Let p = 43 - t. Calculate the remainder when 77 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108) + -5 - ((sqrt(243) + (sqrt(243) - sqrt(243)*1) + sqrt(243))*6 + 2))*5.\nAnswer: -720*sqrt(3) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289567*t**3 + 59*t**2 + 9780*t + 1022 wrt t.\nAnswer: -1737402*t + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/60 - p**3\/10 + p**2 - 9*p + 2. Factor s(r).\nAnswer: -(r - 2)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-1 - 1) + 8 - 5). Solve 6*y - 5*y = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208386600 a multiple of 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q + 0 + 7\/5*q**4 - 162\/5*q**3 - 327\/5*q**2.\nAnswer: q*(q - 25)*(q + 2)*(7*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 36 = 7*r. Let q(l) = 2*l + 23. Let m = 34 - 45. Let v be q(m). What is the greatest common factor of r and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + 2 + 93*o**2 - 1 + 2*o. Is r(-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 488 - 494. What is the tens digit of 44190\/75 + (-3)\/15 - a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874\/42 + 12\/(-6) + 60\/42 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4439 and 1351?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4379239259 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 25*r + i = -22, -10*i - 15 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*q - 31, 5*t + 21*q - 65 = 26*q. Calculate the lowest common multiple of 72 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 26 = 2. Let j = -286 + 6004\/21. What is the biggest value in -1, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -63*c**2 - 4*c + 478. Let y(m) = 13*m**2 + m - 96. Determine 6*n(l) + 29*y(l).\nAnswer: -l**2 + 5*l + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 3157441922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 - 3*k - 10. Let n be z(-4). Suppose -v - v = -5*y + 417, 5*y - 437 = -3*v. What is the highest common factor of n and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65651 is divided by 586.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/240 - v**4\/12 - 35*v**3\/8 + 183*v**2 + 2*v. Determine f so that g(f) = 0.\nAnswer: -7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19802633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672 - 11485335532?\nAnswer: -11485332860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-33) - (-305)\/(-165). Let p = 35 + -67\/2. Which is the closest to p? (a) 2 (b) f (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16954002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -128.6149.\nAnswer: -129.6149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.5939516\nAnswer: -1.1879032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/60 and (5 - (-188)\/(-40))*326\/(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 710 = -23*z. Suppose b = 63 + z. What are the prime factors of b?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o + 227. Let z be (-3696)\/189 + (-12)\/27. Determine i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7*w + 54. Let f be 4 + w + 3 + -1628. What is f rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 114402?\nAnswer: -17\/57201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by 21.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q + 1)*(202*q**2 - 10*q**3 - 202*q**2 + 6755*q**4 - 6814*q**4 + q).\nAnswer: 118*q**5 + 20*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.30000004 - -1.3. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43200 + 43200.0959525. Let x = -0.096 + j. What is x rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s + 4 + 30*s - 3*s. Let u(c) = -6*c - 3. Give -3*h(a) - 4*u(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 2. Let l(o) = -3*o - 15. Let q be l(-16). Suppose -2*d + 5 = -2*a + 23, 5*a - 2*d - q = 0. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2*16\/(-32). Let w be 38\/(-6) - (-2)\/(-3). Let d = w + 11. Sort d, m, 1.\nAnswer: m, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:59 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18*4)\/(7\/(42\/(-12))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 28*s. Let y(u) = u + 379. Give c(y(v)).\nAnswer: -v**2 - 786*v - 154253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwpwwwwwwwwpwwpjjjpw. Give prob of picking 1 j and 3 p.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1096 and -1096 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 - 52502*j + 21000 = 0.\nAnswer: 2\/5, 10500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(475) + -1)*-3*-2)**2 + 0.\nAnswer: 5760*sqrt(19) + 274176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*f**2*s*t - 41*f**2*t + 2*f**2 + 2*s**2*t - 166*s*t - 157*t wrt s?\nAnswer: 12*f**2*t + 4*s*t - 166*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3122 and 3692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + w - 1, -5*t - 3 = -0*t - 3*w. Suppose t = 5*s + 27 + 8. Let y be (-1)\/3*(s - 8). Put 1, y, 3 in decreasing order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**5 + 9*i**2 + i - 145.\nAnswer: -100*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:10 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 28 - 3*v - 60.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)\/w**(-5)*(w**(1\/2))**(-23)*((w\/(w**1\/w))\/w)**(19\/3)\/((w**(-1)\/w)\/w*w*w\/(w**3\/w)) assuming w is positive.\nAnswer: w**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12693183 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:12 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2769\/7 - 394. Suppose -44 = 2*u - u. Calculate the common denominator of b and 4 - (280\/u)\/(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4965421 is divided by 1463?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1071840 smaller than -1071840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89 - 32*f**5 - 89 + 29*f + 407*f**5 + 131*f wrt f.\nAnswer: 7500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -4*y - 4*h - 132, -h - 172 = 5*y. Calculate the remainder when 1 + 47 + 4\/2 is divided by 1*y\/(1*-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67.1 and -4?\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20105*x**6 + 600*x**5 + 324*x**2 - 17149*x?\nAnswer: -2412600*x**3 + 36000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (366\/12)\/(2\/(-4)). What is the common denominator of (-1)\/(-1) + 142\/20 and u\/(-4) - 1*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162505\/2294 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**11)\/v)*v\/(v\/((v**(6\/11)*v)\/v)*v)*((v\/(v*v\/v**2))\/v)**(-1\/7))**(-28) assuming v is positive.\nAnswer: v**(3220\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10*(-19)\/760)\/(6\/(-16)). Let i = 34 - 34.3. What is the biggest value in r, i, 56, -0.4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58725145 and 725?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 68 = -12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h. Let p be y(-3). Suppose -3 + p = 3*z. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 250 = 5*t - s, -t - 100 = -3*t + 2*s. Let y = t + -51. Which is the third biggest value? (a) 4 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - b)*((b**4 + b**4 - b**4)*(-1 + 1 + 2) + (-b**3 + 2*b**3 - 4*b**3)*((2 - 2 - 2)*(-3*b + 2*b + 3*b) - 2*b - b + 4*b + 7*b - 3*b + 5*b)).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1707*t - 1638. List the prime factors of s(-13).\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*n**2 + 2*n - 69*n**3 + 147*n**3 - 3 + 0*n - 79*n**3 to the form b*n**2 + w*n**3 + k*n + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 13*t + 10. Let o be f(12). Let h(d) = 5*d**2 + 4*d. Is 4 a factor of h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91 + 15*y**3 - 92*y**3 + 69*y**3 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-273)\/104)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2057)*-2)*-2 + -1 + -1*sqrt(612) + 5.\nAnswer: 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 31. Suppose -329 = -3*f + j*z - 28, -368 = -4*f - 3*z. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 796*-0.06\nAnswer: -47.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19962131 to the nearest integer?\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92547410129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.37, -0.1736, 54, -0.2 in increasing order.\nAnswer: -0.2, -0.1736, 0.37, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324026705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22919387009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**6\/45 + p**4\/4 - p**3 - 18*p. Let x(y) be the second derivative of z(y). What is the first derivative of x(a) wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 152*f - f**3 + 1 - 16 + 161*f + 5*f**2. What is the tens digit of d(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and -29\/47871812?\nAnswer: 287230872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -2*h**2 - 2*h - 2 + 2\/3*h**3. Calculate the remainder when o(5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 + 200*d**4 + 5366*d**3 + 35740*d**2 + 23568*d - 236160 = 0.\nAnswer: -12, -8, -5, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -212.09 in 3, -316, -2, -3?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16291808\/7 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.171 + -1.171. Which is the second biggest value? (a) 0.5 (b) -9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 6. Suppose 17*y - 35597 + 8550 = 0. Let o(i) = 1587 - 3179 + y. Determine a(s) + 6*o(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*d - 228. Let l = 43 - d. Suppose -3*m - 19 = 5*j, -2*j + 4*j + 16 = 3*m. Solve -7 + m = -l*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuh when four letters picked without replacement from {u: 7, h: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -14*m + 8*m - 4 - 44*m - 5. Let r be y(-3). Round r to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 4. Find the second derivative of -16*u**4 + 371*u**2 - 371*u**g + 19*u wrt u.\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137409814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 16*9830\/(-5440)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 71 = -193. Let r = 132 + z. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 13. Let k be p(-11). Let t = -2 - k. Suppose 0 = 3*g - t*g - 12. Solve g*j = -8 - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -1754\nAnswer: 19\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -362 and -400946.\nAnswer: -401308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -16, 457?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5723316 + 4076679. Suppose 3*g + 7001576 = -5*s - 7698449, -a = 2*g - s. Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.8698 rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -27*s + 123. Suppose 0 = s*u - 3695 - 625. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1735 (base 16) in base 12?\nAnswer: -3531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1086 + 277*l - 1086)*(4 - 2*l - 4)*(-7*l - 8*l - 9*l).\nAnswer: 13296*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - b**2 + 19*b + 13. Determine n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(22)\/(sqrt(14)\/sqrt(7)))**2 - sqrt(55)\/sqrt(20).\nAnswer: -sqrt(11)\/2 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152042 at most as big as 152033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from cmadxdcccsdscdda.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-4)\/(-30))\/((-12)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*p + g - 42 = -1220*p + 4*g, -3*p = 5*g - 17 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-4) - (-2)\/4. Suppose 4*y - m = 5*c, -2*y + c + 15 = 2*y. Suppose 2*f = y*f - 94. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*t = -105*t + 1625. Suppose 27*p = 2*p + t. Calculate the remainder when 191 is divided by p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -187, -168, -147, -124, -99?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*b**2 - 287*b**2 + 11384*b**3 - 4 - 2*b + 68*b**2 + 72*b**2 + 71*b**2 wrt b?\nAnswer: 68304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 12 = 3*j, z + 8*j - 13*j + 16 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/149386 and 59\/1808.\nAnswer: 1195088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -31*x + 109. What is s(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103433\/4 - -26024. Let i = f - 167. Let c = -2118 - -2118. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1700)*6 - sqrt(1700)*2*-1 - ((sqrt(1700) + -3)*-4 - (sqrt(1700)*-4 + -2)).\nAnswer: -14 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 956051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = 3*v, 4*l - 19 = -5*v + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 - 81*b**2 + 31*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + m**2 - 20*m - 5. Let a be s(3). Let x(y) = y + 1. Let o(j) = -j - 3*j - 6 + 1. Let v(z) = o(z) + 6*x(z). Give v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153724199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*j - 21 = 0, -2*n - 5*j + 23 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3818 and 4\/115.\nAnswer: 19090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9489*t**3 - 2*t**2 + 5*t - 3. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 65 = -5*h, -2*h - 3*h = 15. Suppose 6*v - r - 2 = 0. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/(-14))\/121*(-2)\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-24)\/12*(-151)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, 1\/128.\nAnswer: -4, -1, 0, 1\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1317, -1489, -1661, -1833, -2005, -2177?\n\"Answer: -172*s - 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2139*q**4 - 1935*q**4 + 3769*q**4 + (4*q**2 + 3*q**2 - 5*q**2)*(3*q**2 + 0*q**2 - 2*q**2) + 3*q**4 - q**4 - 3*q**4 + q**4 + 0*q**4 + q**4.\nAnswer: -302*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b740a - 0?\nAnswer: -1b740a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 3\/2*t**2 - 1 + 1\/2*t**6 + 0*t**5 + 0*t**4 + 0*t**3 + 0*t. Find the second derivative of x(c) wrt c.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00100125794 to five dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 11}. Give prob of picking 2 c.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.147 - 102676892.5319.\nAnswer: -102676892.6789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.31 - -1.69. Let q = l + -5. Is 0.011 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-8\/3)*d*d)\/d**(-1\/5)*(d\/(d\/(d*d*d**2*d*d)))**(1\/9) assuming d is positive.\nAnswer: d**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-78)\/(-21))*2. Are 0 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322 and 378028.\nAnswer: 378028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11815)\/(-2085) - (-1)\/((-3)\/18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {l: 1, c: 1, r: 1, b: 1, y: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.123 - -2207.891231\nAnswer: 2207.768231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2 = -2*z, -z = -377*d + 381*d - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 3*x + 3*b, -4*x - 4*b = -8. Let r(v) = v**3 - 6*v**2 + 8*v + 12. What is the units digit of r(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -29*i - 1. Let y be f(-2). Let w = 38 - 19. Calculate the highest common divisor of w and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/42)\/(7\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 2*i - 1. Let m(q) = -q**3 + 4*q**2 - 5*q + 3. Let r be m(3). What is p(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2141d0 - -3?\nAnswer: -2141cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-110)*75\/(-45). Which is bigger: -1\/14 or w?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((15 - 28) + -9)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 745 + 745. Let p be 3*-2*(-24)\/48. Let t(l) = 130*l + 40. Let o(a) = 10*a + 3. Let y(v) = p*t(v) - 40*o(v). Calculate y(q(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Let t be (1 - (3 + q)) + 6. What is the smallest common multiple of t\/1 + -2 - -7 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssswssssssssvs. What is prob of picking 1 s and 1 v?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8833 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146599 + 88979 = -59*k + 418687. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(40)\/(2*sqrt(20)))\/(sqrt(24)\/sqrt(6)*-6 + ((sqrt(4) - sqrt(256)) + sqrt(4))*-2).\nAnswer: 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 7*j + 4 - 4*j**2 + 2*j**2 - 8 - 3*j**2. Let l be (4\/(-2))\/((-4)\/14). Determine d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 4*b - 17*b. What are the prime factors of d(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -392, -410, -430, -458, -500?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 19 + 1. Let c(i) = i**4 - 3*i**2. Let s(o) = 3*o**4 - 5*o**2 - o. Let z(b) = a*c(b) + 3*s(b). Find the second derivative of z(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from cwccebcwceclcbcecec?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from daggkdgvkdi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(84\/8)*6. Suppose 2*v - 4*b - b = 1886, 3772 = 4*v + n*b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82948798 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12424681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 137754*a + 137518*a - 3.\nAnswer: -236*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 46.1. Let q = 16 + -6. Let b = s + q. Sort b, 6, 5.\nAnswer: b, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8419963*4\nAnswer: 33679852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d**2 + 8*d - 8. Suppose 0 = 5*g + 5*t + 145, 3*t = -0*g + 4*g + 123. Let w = -27 - g. Let n(f) = 5*f**2 - 3*f + 3. Calculate w*c(m) + 8*n(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwsw when four letters picked without replacement from wwsfvvfvevlvvllle?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 2880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40*-46 - -5)\/(543\/(-25340)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22021821*g**5 + 7563043*g**2 - 2*g?\nAnswer: -1321309260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-11)*a*a*a*a**(7\/2)*(a*a**(2\/65)\/a)\/((a**(-24)*a)\/a))**(2\/19) assuming a is positive.\nAnswer: a**(291\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 + 31*m**2 + 53*m**2 - 22*m**2.\nAnswer: 86*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56816.\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 12*j + 6. Let o be v(5). Let f be (17 - (2 + -1))\/1. What is the highest common divisor of o and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 6*x + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*d + 4, 4*i - 4 = -5*d + 18. What is the smallest common multiple of 7 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/((-6)\/27). Suppose 0*c + 7 = 2*c - g*k, -5*c + 6 = 4*k. Factor 11 - 11 + 2*z**3 - c*z.\nAnswer: 2*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631400 rounded to the nearest 10000?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 215081888 a multiple of 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267142720 or -267142719?\nAnswer: -267142720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -9*i + 84. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11799012 by -42.\nAnswer: 1966502\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -28) + -16 + -31.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110231222203 (base 4) in base 7?\nAnswer: 64103452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a factor of 63835456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-24))\/((-36)\/(-162)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z + 5. Let i be l(0). Differentiate i + 0 - 6*n**4 - 4 wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3914 = -g, -g - 4*q = -2035 - 1859. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 438, 877, 1316, 1755, 2194?\n\"Answer: 439*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 35 - 33. Suppose 2*c + l - 6 = 0. Let h(a) = 103*a - 15. What is the hundreds digit of h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(126))\/(-1*sqrt(2)*-6).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 17211333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/60*z**5 - 1\/24*z**4 + z**2 - 5\/6*z**3 + 0*z + 1\/60*z**6 + 0. Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12748*v**2 + 6418*v**2 + 6329*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -31. Suppose 0 = 3*k - r - 11. Find the third derivative of -6*o**k - 12*o**2 + 0*o**2 - 3*o**2 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112020605029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5647383 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8 - 2 - 3 + s + 8. Let k be n(-8). Let d(y) = y**3 - 4*y**2 + 3*y - 2. Let r be d(3). Sort r, k, -5 in decreasing order.\nAnswer: k, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8cb1e - -3?\nAnswer: 8cb22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 2*t - 1. Suppose -5 = -6*w + w. Let f be k(w). Suppose -2*z - 12 + 52 = f. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2691 and 25714.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3959268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-10\/7))\/s**(-14))**(-2\/7) assuming s is positive.\nAnswer: s**(-244\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 10:19 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*i + 375*i - 195*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*b + 8361*b + 5295*b + 3304*b + 912*b as i + k*b and give k.\nAnswer: 17474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 15. Let c be y(-6). Suppose -c*k - 1 = -16. List the prime factors of 2\/k*(-3535)\/(-14).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15488 = 10*c - 32*c. Does 44 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/5 + 7*n**2\/5 = 0. What is n?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 8\/57 (c) 0.1 (d) -1\/290\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/116 and -8\/53.\nAnswer: 6148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38190, 38431, 38672, 38913, 39154, 39395?\n\"Answer: 241*c + 37949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 + 126 + 134 + (-18 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 16*r = 0, 5*h = -4*r + 80. Suppose -36*o = -h*o - 19*o. Solve -c + 0*c = 2*j - 2, o = 2*c + j - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260711413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-374)\/4*(-1)\/7. Let k = 6\/7 - f. Let x = -485\/8 + 1019\/24. Calculate the common denominator of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 - 723063*l**4 + l**2 + 8924*l + 666 wrt l.\nAnswer: 20*l**3 - 8676756*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -2 + -6 + 433 + -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1130)\/(-1582)*(-6)\/5.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*-6*2*(sqrt(1100) + sqrt(1100) + 1)*1)**2.\nAnswer: 2304000*sqrt(11) + 253497600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129.05 + 129.15. Let s = -8 + 17. Which is the closest to u? (a) s (b) 2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -73, -303, -781, -1597, -2841?\nAnswer: -4603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 551?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 19*v**2 - 15*v - 57. Let y be s(18). Sort y, -5, 0 in ascending order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 424751475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4, w: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8466364 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-12))\/((-284)\/639))\/((-6)\/80)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + -42*7\/(-21). Let q(h) be the second derivative of -h**5\/20 + 7*h**4\/12 + h**3\/6 + 3*h**2\/2 - 6*h. Let c be q(6). Sort 1, c, r in ascending order.\nAnswer: 1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42059858 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10. Calculate the remainder when 4 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k - 4*k - 17*k - 6*k**2 as g*k + i + h*k**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 - 13*u**3\/6 + 8*u**2 + 3*u. Let y be a(-14). Suppose -s = 0, y*s - s = -5*h + 2935. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75.1 + 6.198\nAnswer: 81.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585646980 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 7*t**2 + 45*t\/2 = 0.\nAnswer: -45\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-608)\/16 + 24 - ((-1860)\/235 - 6).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87322?\nAnswer: 2, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 135*m - 1. Let r(s) be the third derivative of -s**4\/24 - s**2 - 102. Calculate r(q(z)).\nAnswer: -135*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21530895 is divided by 548?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 + 4*d + 20. Let n be p(-8). Calculate the remainder when 155 is divided by 39\/6*n\/(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - (-11 - -5)) + 35 + -2 + 1 + 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809270482.\nAnswer: 2, 17, 4679, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 13*h**4\/12 - 6*h**2. Let t be f(-3). Let l = t + 117. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -993, -4, 138 in decreasing order.\nAnswer: 138, -4, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -199003860 divided by 49750965\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 2*z**3\/15 + 2*z**2\/5 + 10. Determine o so that s(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 16. Suppose 10*v - 11*v + 16 = y, 5*v = 2*y + 80. Calculate the greatest common factor of o and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 0*w**3 - 3 - w**3 + 0. Let q(d) be the third derivative of -d**5\/30 - d**2. Give k(q(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000100011101 + 11?\nAnswer: -101000100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160265.\nAnswer: 5, 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 661064 and 17848728?\nAnswer: 17848728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 9 - -8 - -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y**2 + 71. Let f(h) = -6*h**2 - 35. What is -4*a(q) - 9*f(q)?\nAnswer: 10*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 13) to base 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 2*p + 18. What is the units digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3*t - 8. Let h be o(-7). Suppose -4*u + 2*s + h = 0, 6*u + 3*s - 15 = 3*u. Let q(n) = -4*n - u*n + 11*n. Let z(w) = 3*w**2. Give z(q(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 3*x + 5 - 2 + x. Let f be s(-3). Suppose f = -r + d + 48, -5*r + 2*d + 240 = 6*d. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrrzrrzrr. What is prob of picking 3 z and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 - c**3 + (-2*c + 5*c + 6*c)*(-2*c**2 - c + c) + (-3*c + 3*c + c**2)*(-3*c + 6*c - 2*c) + 0*c**3 - 2*c**3 - c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612632 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: Let f be (-12)\/(-14)*(-28)\/(-44) - (-410)\/(-550). Put 4, -0.097, f, -3\/8 in decreasing order.\nAnswer: 4, -0.097, f, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2695 and -24\/17.\nAnswer: 45815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-8))**(6\/23)*((j**4*j)\/j)**(-47) assuming j is positive.\nAnswer: j**(-4366\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11238, 43.73, -0.5 in descending order.\nAnswer: 11238, 43.73, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13513 + -9456. Calculate the remainder when y is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {h: 10, y: 2, r: 2, d: 1, v: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1428 and 37\/343079856?\nAnswer: 343079856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6331 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 4*r + 3*r)*(-22 - 69 + 34).\nAnswer: 114*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17092981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.477447 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let u be w(6). Let d = 59 + -54. Calculate the highest common factor of u and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1828, -3223, -4170, -4669?\n\"Answer: 224*v**2 - 2067*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/144)\/((-2)\/16))\/(322\/28)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 533800 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -29. Calculate the least common multiple of c and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 3*r + 3*r + (r - 3*r + 5*r)*(1546 + 525 - 535) + r + 2*r - 4*r to d*r + v and give d.\nAnswer: 4605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320))**2 + -3.\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 2 = -24*n + 4*i, -4*n + 4*i - 16 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*(-2 + 3)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:40 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(72) - (4*sqrt(72) + -2) - sqrt(72)) + 2 + (sqrt(72) + sqrt(72) + -1*sqrt(72))*-1 + 1)**2)*6.\nAnswer: -1800*sqrt(2) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1137562 divided by 16022.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -9*o**4\/8 + 193*o**3\/8 - 97*o**2 - 67*o\/2 + 280 = 0.\nAnswer: -14\/9, 2, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7031, 0.08272 in ascending order.\nAnswer: -7031, 0, 0.08272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - -1.4. Let d = -1.89 - -1.8. Let b = d + -3.91. Sort b, -2\/5, l.\nAnswer: b, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/24 and 23\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l. Suppose l - 2 = -n. Suppose 0*b + 2*b = -n*p + 30, 5*p = 2*b + 103. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1105*y + 446*y - 1145*y + 450*y - 1029*y + 366*y.\nAnswer: -2017*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r + 3. Let c be ((-6)\/9)\/(r\/(-3)). Let s be c\/(-8) - (-9)\/12. Is -2\/5 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5994 from -0.94.\nAnswer: -5994.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48.65697 litres?\nAnswer: 48656.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.565 + 0.435. Which is the second biggest value? (a) -0.1 (b) 0.1 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.9 - 46. Let h = 4.06 + -4. Which is the nearest to l? (a) h (b) -1\/5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 36895?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1569\/(-4707))\/((1\/(-15))\/1) + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140379*q**6 - 187*q**4 - 11*q**2 - 12386*q - 301.\nAnswer: -16845480*q**3 - 4488*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1766 - -3541\/15894. What is the nearest to 1\/2 in 0, 0.21, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 804 = -v, 2*v + d = 1635. List the prime factors of v.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 21*u - 17. Let z(s) = -4*s**2 + 22*s + 16. Let m(j) = -5*d(j) - 6*z(j). What is the remainder when m(-11) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - o + 2987 = -2416, 21652 = 4*h - 4*o. Suppose h = 3*w + 4*s, s + 1796 = w - s. What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1768\/78 - (-1)\/3. Suppose 28*h - 275 = l*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) 304 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.835632 + -8.1258. Let h = 1.29 + b. What is h rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Is 6 a factor of u\/2 - 70\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -97*i - 496. Calculate v(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216019\/3 or 72006?\nAnswer: 216019\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184978 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55081.\nAnswer: 13, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*f**3 - 54*f**3 - 61*f**3 - 516 + f as d*f**2 + n*f + m*f**3 + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 71 + -36 - (-216)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -w - 3*w + 2*w + 21, 4*w + 249 = 87*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*g + 8*f + 24, -2*g + 19 = -3*f. Let q(u) be the third derivative of 1\/4*u**4 + 0*u**3 - 3\/20*u**5 + 0 + 7*u**g + 0*u + 1\/40*u**6. Factor q(p).\nAnswer: 3*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -157, -294, -427, -556, -681, -802, -919?\n\"Answer: 2*j**2 - 143*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + 3*i**2 + 2*i + 13. Let n(z) = z**3 - 2*z**2 - z - 6. Let t(s) = -2*b(s) - 5*n(s). Calculate the least common multiple of t(-2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmfmfmml. Give prob of sequence mlmm.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4041 - 2485. Is u a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 1. Let s(n) = -3*n**2 - 3. Let k(d) = s(d) + 2*y(d). Let b = 59 - 55. Determine k(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 3. Let j be o(2). Is j smaller than 2\/1095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -304382, 11.\nAnswer: -304382, 0, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459*d + 1455*d = 4*k - 12, d + 4*k = -3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 630 = 14*m. Calculate the remainder when m is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2036091946 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 11*q**2 + 3*q - 22. Determine r(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 4*j = -1161. Find the common denominator of -74\/15 and (-1284)\/225*j\/(-72).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118169700*w**5 + 7*w**2 - 2588253*w wrt w?\nAnswer: 7090182000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.631 + -31.4. Round c to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 5*f - 2. Let b be m(5). Let o be 0 + 1 + b + -111. What is o rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/247831 and -131\/31638?\nAnswer: 1486986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 7338675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/22 - (394\/(-132) + 3). Let t be (-4)\/18 - 832\/(-3744). Suppose -2*y - 4 + 18 = 0. Sort 0.3, t, g, y in descending order.\nAnswer: y, 0.3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-91)\/(-52)*(-3)\/(-7). Solve r*z**3 - 3\/4 + 9\/4*z - 9\/4*z**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2633965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106611496.\nAnswer: 2, 3593, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 19*b. Suppose b = 24*g - 14 - 34. Let k be 4\/18 - (-50)\/18. Sort 4, 1, k, g in decreasing order.\nAnswer: 4, k, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*f = -883*f - 2*r + 6, 5*r - 15 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(-3 + 6 + 3)*(4 - 4 + j + (-5*j + 11 - 11)*(95 - 124 + 112)) as l*j + b and give l.\nAnswer: -2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*y = 197*y - 11520 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -82\nAnswer: 11\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*f - 30 = 122*f. Solve 5*k - f*u = 0, 4*k = 3*u - 8 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1988 + -0.0388. Which is the biggest value? (a) -1\/3 (b) m (c) -0.11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.6. Let u be -3 - 10\/15*-3. What is the nearest to u in p, 1, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 2*i**5 + i**5 + (-4*i + 2*i + i)*(-4*i**4 - i**4 + 4*i**4) - 92*i**5 - 18*i**5 + 50*i**5.\nAnswer: -55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.457598 + -2.46. What is t rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2924 - -3401. Calculate the remainder when b is divided by 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**5)\/(f**(-2)*f))\/((f*f**2)\/f)**(-44))**38 assuming f is positive.\nAnswer: f**3268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b3dd (base 14) in base 16?\nAnswer: 2d137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200)*1 - (1*sqrt(2)*2 + 1)) + -1 + -4 + 3.\nAnswer: -3 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b**2 + 114*b - 1109. Is v(10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/126)\/(156\/7644)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 7, e: 2, u: 2, r: 1}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k + 9. Let i be k*(-2 + 1) + 1. Let m = -28034 + 28036. Solve m*j - i = -14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 5*t - 3. Let p be j(6). Let g = -0.06 - -0.26. Let k = g - 0.1. Which is the closest to k? (a) -4 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2730 + 9736. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24885.7g?\nAnswer: 24885700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 = 3*t, -4*t + 4*u - 5 - 19 = 0. Let z be (-4 - t)\/((-1)\/(-2)*-1). Let l = -3.9 - -5. Is l smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvvmc. Give prob of picking 1 m and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 81082.03 kilograms in milligrams?\nAnswer: 81082030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 2*s**2 - 3*s**2 - s + (-s - 2*s + s)*(2*s + 1 - 1) + (58 + 44 - 42)*(-4*s**2 - 7*s + 7*s).\nAnswer: -243*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -966 (base 12) in base 2?\nAnswer: -10101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 146, 49 in decreasing order.\nAnswer: 146, 49, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9702, 10385, 12236, 15837, 21770, 30617?\nAnswer: 42960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -8 - 20. Let x = 12 - m. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(551\/(-29))*1*(-46)\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*w**3 - 23965*w**2 - 422160*w - 398225 = 0. What is w?\nAnswer: -4685\/6, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -26*v**2 + 90*v + 86. Let k(m) = -16*m**2 + 46*m + 43. Let b(q) = -5*k(q) + 3*w(q). What is b(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*25*(-6)\/(-180).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 909720*t**3 - 1819428*t**2 - 909712*t.\nAnswer: -4*t*(t + 1)**2*(t + 227428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 - -13. Which is the closest to 0.4? (a) -5 (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:06 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**2. Let v be 0 + -3 + 3 + 1. What is h(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-1 - -4) - 10. Let j = d - -10. Solve -2*u + 0*u = -j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/60 + 17*d**4\/24 + 7*d**3\/2 + 4*d**2 - 5. Calculate y(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 647735 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 + -2117\/15. Which is the second biggest value? (a) 4 (b) s (c) 1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + -1*sqrt(18))**2 + sqrt(18))*-4*2*-6.\nAnswer: -5040*sqrt(2) - 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.065114 and 3.\nAnswer: 0.195342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -1 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 4*s - 1. Suppose 5*v - 78 = -4*t, -3*v = -14*t + 11*t + 45. What is the units digit of b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -7 - 14*1. Let g be ((3\/(-15))\/(3\/v))\/1. What is the tens digit of ((-104)\/130)\/((-213)\/(-215) - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 27050*b**3 - 27053*b**3 - 380*b + b**2 to the form u*b**3 + d + r*b**2 + v*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -1 + (24\/(-15))\/1. Which is the closest to -1? (a) r (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 + 2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((28 - 5) + -13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28944 from 0.1.\nAnswer: -28943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n**3 - 21*n**3 + 53*n**3)*(-2*n**2 + n**2 + 2*n**2).\nAnswer: 51*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/3))\/m)\/m*m*m*(m*m*m\/(m\/(m\/m**18))*m)\/m assuming m is positive.\nAnswer: m**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/7 - 63904*u\/7 - 510465152\/7 = 0?\nAnswer: -15976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 74*t - 12. Let o be f(-2). Let r = 302 + o. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krka when four letters picked without replacement from rrkkakarakr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.001273 + -3.019. Round w to 4 dps.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 98 = -5*y. Find the first derivative of 29*a**3 - 8*a**2 + 17*a**y - 9 - 9*a**2 wrt a.\nAnswer: 87*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 78. Find the first derivative of -8 + 8 + f - 4*n**3 + 3 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1458*316.3.\nAnswer: -461165.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3478 + -3454. What is the least common multiple of c and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 209. Suppose 37*t = c*t - 4550. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4334 - -200511?\nAnswer: 205045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z. Solve 4*i + z*i = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3976 and 45254335.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*p**3 - 2*p**5 - 2285*p**4 + 2301*p**4 - 22*p**2 + 38*p - 24 + 30*p**2 = 0. Calculate p.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/11, -0.4, -15, 1.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - q)*(2 - 5 + 1)*(-q + 0*q - 5*q) in the form m + d*q + k*q**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/4)*c\/(c**(3\/19)*c))\/(c**(-1\/11)\/((((c**7\/c)\/c)\/c)\/c)))**37 assuming c is positive.\nAnswer: c**(21127\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:59 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28197 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/((9\/(-370))\/9). Let i = 239 + m. What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5 = 4*s, 2*w - 5*w = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -128. Let h = -39 - m. What is the units digit of -1 - 2 - -23 - h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527 + 527. Solve -5*d + s*d + 35 = -5*w, 2*d = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -130.242, -3, -13\/4 in descending order.\nAnswer: 2\/5, -3, -13\/4, -130.242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = 4. Let i be d\/3 + (-4)\/6. Let z = 11 - i. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9327474 and 412?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -433 + 29\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.5. Let k = -207 + 555. Let q = k + -352. Which is the second smallest value? (a) l (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -14222?\nAnswer: 14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 8*t - 1. Let b be g(-7). Is (-5)\/(b\/7 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 915*i + 27466. Determine w(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {j: 5, m: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5330 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2303717 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 12, 0 = 2*m + a - 4*a - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101 + -100?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4653 (base 12) to base 9\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198139568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80120768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -6*(-8)\/(-8). Put t, 41, 3 in descending order.\nAnswer: 41, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -9 - (31 + -29 + -8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/9392 and 39\/40.\nAnswer: 46960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1652 - 258356.552.\nAnswer: -260008.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -15. Let l = g - -9. Solve l*z - 8 = -2*v - v, 4*z + 2*v = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(13\/4))\/h)\/h**17)\/(h**(1\/2))**39 assuming h is positive.\nAnswer: h**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 19*o - 3546 = 351*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 = 5*o, 5*o - 1 = 4*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/13 + 23718*i\/13 - 47428\/13 = 0.\nAnswer: 2, 11857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256482979*x**4 + 6*x**2 - 135*x - 785.\nAnswer: -6155591496*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142708390567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 984 and 108504?\nAnswer: 4448664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241958.\nAnswer: 2, 311, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/660*l**6 + 1\/132*l**4 + l**2 + 1\/330*l**5 - 1\/33*l**3 + 0*l + 0. Factor v(f).\nAnswer: -2*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s - 81*s = 15. Let l(n) = 4*n**2 - 14*n + 3. Calculate l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let n(l) = l. Let r(i) = 5*n(i) + 8*z(i). Let a(c) = -c**2 + c. Let k(y) = -3*y - 20 + 20 - 7*y**2 + 7*y. Let j(w) = 4*a(w) - k(w). Give j(r(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:27 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1195365*k**2*o - 1989*k**2 - 134 with respect to o.\nAnswer: -1195365*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.585 - 28.585. Let q be 0 + (-68)\/(-28) + -3. Which is the third biggest value? (a) q (b) -1\/2 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 10, o: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2496*g - 787. List the prime factors of h(4).\nAnswer: 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/2*(-405)\/1620?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2074485568 + -2074484770.0002648. Let c = f - 798. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*h + 78303 + 158257 = 571*h + 35285 for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/21))\/s)\/(s*s**(-4))*(s**0)**(-42) assuming s is positive.\nAnswer: s**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 12*v**2 - 237*v - 1326. Give t(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2317 - 2316.6. Which is the closest to 1? (a) 3 (b) 102 (c) m (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 31*c + 2. Let s(u) = 60*u + 4. Determine 11*n(p) - 6*s(p).\nAnswer: -19*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 + 16*l**2 + 1668*l**3 - 35*l**2.\nAnswer: 1668*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -258, -266, -280, -300, -326, -358, -396?\n\"Answer: -3*l**2 + l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**4 - 2*o**2)*(-6 + 6 + o) + o**4 - 5*o**2 + 4*o**5 - o**5 + 3*o**2.\nAnswer: 5*o**5 + o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8129622.6 milliseconds?\nAnswer: 2.2582285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d - 10 = 0. Let o = -8 - d. Let g(z) = -z. Determine g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/(-50) - -3 - 2. What is the third biggest value in h, -3, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i + 57. Let d be r(26). Suppose 292*z - 18947 = d*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.5791 rounded to two decimal places?\nAnswer: 34.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-5 - 33 - -11) + 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (291\/194)\/(0 - ((-3)\/6 + 2)). Which is the fifth smallest value? (a) 3 (b) 0.3 (c) -5 (d) l (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17906902 and 2599389?\nAnswer: 161162118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*a**5 + 3*a**3 + 700*a + 3.\nAnswer: -4660*a**3 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 95. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 5. Let q be h(-4). Let x(y) = 3 + 4*y - 1 + 2. Determine x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373484632*i**6 + 116*i**2 + 321962?\nAnswer: -44818155840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9768?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -329.62 - -329.62014399. What is c rounded to six decimal places?\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96308958.\nAnswer: 2, 3, 23, 697891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59007175 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 456 = 4*z + 458, -5*g = -3*z + 31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 2045231 = -99*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2 - 1531455*i - 4594374 = 0.\nAnswer: -3, 1531458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31525 + 31477 = -8*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Factor g**2 + w*g**2 - 4*g**2 - 3 + 2*g + g**2.\nAnswer: (g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -227, -912, -2047, -3626, -5643, -8092, -10967?\n\"Answer: x**3 - 231*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/144 - 2\/(-4).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 12*r**2 - 21*r - 40. Determine x(15).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*u - 30 - 93, 5*u - 305 = -5*t. Is 15 a factor of t\/16*(-1 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 10. Let b be g(13). Solve -4*c - 2*l = 22, 0*c - b*c = -l + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 150 + 92*c - 96*c - 147. Let m(a) = 3*a - 2. Determine -3*m(l) - 2*r(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84\/(-30)*195\/(-3)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23159682017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 3*b**4 - b**4 + (2*b**3 - b**3 + 0*b**3)*(-18*b + 5*b - 7*b).\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229811 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -901181 (base 10) in base 8?\nAnswer: -3340075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 1451*z**3\/3 - 20*z**2 - 40*z - 327. What is the units digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439255264 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*c - 2099 = 2031 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**10)\/((i*i**6)\/i)*(i**(2\/7))**50 assuming i is positive.\nAnswer: i**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1196 and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 37050*p - 329. Is v(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1. Let b(s) = s - 2. Suppose -4*z + 6 = -7*z. Let y be (5\/z)\/(70\/(-56)). Let r = -23 - -18. Determine r*m(h) + y*b(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1040 = 2*b. Let y be -8 + -147*(-12 - 76\/(-6)). Let s = y + b. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -177, -257, -337, -417?\n\"Answer: -80*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32.73? (a) -2 (b) 11 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -9) + -11 + 10 - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r - 140*r = 225 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 211, 403, 589, 769, 943, 1111?\n\"Answer: -3*l**2 + 201*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10541877.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 2:28 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -2*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1141065 + 0?\nAnswer: 1141065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3537 > -3654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 36 + 15*n - 5*n - 40.\nAnswer: 10*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r + 4*i, -4*r + 2*r = -3*i + 18. Let p be 22*(-3 + 5)\/2. Let g = p - r. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Let a(m) = -m + 21. Let q(c) = -2*c + 19. Let z(x) = -5*a(x) + 4*q(x). Let b(w) = -9*n(w) - 2*z(w). Give b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831676889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2197, 2196, 2195, 2194?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let y(x) = x**2 + 3*x. Let c(t) = -2*t. Suppose -20*f = -22*f + 4. Let r(u) = f*y(u) + 3*c(u). What is r(k(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 0.2 (c) 2.1 (d) 0 (e) -1.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*v + 33. Suppose z + 0*z - 55 = -4*x, 0 = -2*x + v*z + 55. Solve 3*q - q + 24 = -4*k, -x = 5*q + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 1 - (-4 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 24 + 6. Let y be 8*(-4)\/((-40)\/r). What is the tens digit of 86 + y\/(-2)*5\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -4 - 46995\/(-85). Let p = 556 - v. Let d = 0.1 + -0.1. What is the nearest to -1\/3 in d, p, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 38 + 26 = 0. Let y be (51\/r - 7)*(0 + 30). Factor -27*v**3 + 2*v - y*v**4 + 21*v**3 - 22*v + 100*v**2 - 29*v**3.\nAnswer: -5*v*(v - 1)*(v + 2)*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = -2*b, 0 = -0*h - h - 2. Let k(w) = 0 + 3*w + 2 - 1 + w**2. What is the tens digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*w + 18 = 2*f, 2*f - 32 = -2*w. Suppose 9*s = 6*s + f. Solve 3*o = 8*o + s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d**3 - d**2 + 0 + 0*d + 1\/80*d**5 + 1\/32*d**4. Determine c so that l(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 524, 522, 508, 482?\n\"Answer: -6*w**2 + 16*w + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let j = 0.25 + 76.75. Let h = j + -77. Which is the closest to h? (a) 3 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - 9 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2071.9 + 2072. Sort -0.1, 310\/3, b.\nAnswer: -0.1, b, 310\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965.508 litres in millilitres?\nAnswer: 8965508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-9.82\nAnswer: 0.0982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1050690.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 7. Let x be i(-5). Let p(j) be the first derivative of -3*j**2 + j - 6. Does 13 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 68 = -6*o, 167 = -108*s - 2*o - 406 + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 311, 1095, 2397, 4217?\n\"Answer: 259*d**2 + 7*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9 - 11\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 4*s. Let a(n) = 5*n**2 + 20*n. Calculate -2*a(u) - 11*y(u).\nAnswer: u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37451, -74920, -112393, -149870?\nAnswer: -187351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25195 + -25195.55255. Round b to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-3 - 0) - -67. Let m = d + -38. Solve 8 = -4*t - 4*l, -5*l + m = -5*t - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30182\/1)\/((-14)\/77) - -1. Round u to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Suppose -r*i + 148008 = 4*o - i, 0 = i - 2. What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 117.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -40*r**2 + 100*r + 17. Let c be k(-3). Calculate the highest common divisor of c and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -443454 + 2?\nAnswer: -443452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 16*m**2 + 21*m - 8. Determine c(15).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1245.306665 + 1245.86. Let z = 0.554 - k. Round z to 5 dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*a + 8, -5*a + 497 - 471 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34158*f + 23278 wrt f.\nAnswer: -34158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1636449 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/52 - (-914)\/26. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*z - 11 = 0, h = 4*z + 6 + 11. What is the remainder when h\/(-3) - (-309)\/9 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - p = 19, 5*y = y + 4*p - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -7\/10 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2 - 4. Suppose 0 = -2*y - 2, r*y + 4 = 5*z - y. Suppose -2*s + o = s - 280, 2*o - 10 = z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 81 - -5a?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5313 - -4780. Round v to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = 7*z, -4*q + z + 98 = 0. Suppose 2*l - q = -2*l. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 11, q: 1, w: 1, h: 3, n: 1}. What is prob of picking 1 k, 1 q, 1 w, and 1 h?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 34 = 0. Let g = 224 + -217. Calculate the remainder when p is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -49, -60, -75, -94, -117, -144?\n\"Answer: -2*k**2 - k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 2. Sort -2, m, 11 in decreasing order.\nAnswer: 11, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(60)\/sqrt(12))*2)**2 + -1*sqrt(5)*6.\nAnswer: -6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2353 - 1339. Suppose -u + 7*u = b. Let c = u - 117. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76174496 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -92683997.47 rounded to the nearest one thousand?\nAnswer: -92684000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 + 83*x + 69. Let p be v(-11). Solve 4*m = 5*y - 19 + 10, y = 2*m + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2076 + -2079. What is the second smallest value in -1.09, h, -2\/7?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4544\/5697 + -12\/211. Find the common denominator of x and 53\/5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11431 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/184 - -2299\/2392. Which is the fourth smallest value? (a) t (b) -7 (c) 1\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19180?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*j + 53*j - 151*j)*(24 - 24 - 25*j**2) - 3*j**2 - j**3 + 3*j**2.\nAnswer: 7174*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52533980490 rounded to the nearest one million?\nAnswer: 52534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*h = 2009*h + 2033*h - 241178 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 3*c**4 - c**3 + 0*c**4 + 1 - c**3 - c**2 + 3*c**3 in the form l + u*c**3 + d*c**4 + q*c**2 + f*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 66 - 389*s - 2183*s to the form y + o*s and give o.\nAnswer: -2572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -w + 3*u, -5*w = 2*u - 21. Suppose -1597 = -w*i - 57. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o = 27*o. Solve o = 4*s - 4*v, -4 = 3*s + 3*v + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(245) + 1 - sqrt(245)) + sqrt(245) - ((sqrt(245) - sqrt(245)*-2) + 1 + sqrt(245))) + 4)**2*3*5 + -5.\nAnswer: -1890*sqrt(5) + 33205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*560\/42.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059317 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 70*b**2 + 470*b - 48. Let g be u(26). Let k be (2\/(-4))\/((-1)\/(-36)). Is 15126\/g*(-12)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*24\/30*14\/574.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -182943.7 to the nearest 100.\nAnswer: -182900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8075321 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a**2 + a**2)*(1622 - 39*a**2 - 1627 + a + 30*a**2).\nAnswer: 18*a**4 - 2*a**3 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.3. Let v = -0.04 + j. Let a = v - -1.94. Put a, 5, -2 in descending order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w + 3. Suppose -7 + 2 = l, 4*l = h - 22. Suppose -h*j = 4 - 22. Let o be y(j). Calculate the greatest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 15*d**2 - 55\/6*d**3 + 25*d - 1\/6*d**6 + 3\/4*d**5 + 0 + 5\/4*d**4. Factor o(y).\nAnswer: -5*(y - 3)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 - 6*q + 7. Let o be n(-8). Suppose -2*h = -o - 323. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340446 or 262?\nAnswer: 340446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32451 - -32451.2. Put -0.03, -2\/21, p, 25, -1 in descending order.\nAnswer: 25, p, -0.03, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050 is divided by (-92)\/72*-30*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-27 - -26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 4*w + 3*r, 4*r = -4. Find the second derivative of -2 + 3*c - 104*c**w + 66*c**4 + 51*c**3 + 54*c**3 - 5 wrt c.\nAnswer: 792*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*y + q + 15, 2*y + 3*q + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 36. Let j be h(-10). Suppose -74 = -j*k + 26. Solve 0 = a + 4*a + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-42)*3*492\/(-328)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:33 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 19*c + 38 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1710384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*k + 2066 = -491, -h - 834 = -2*k. Let l = 1282 + h. Let d = l - 168. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 676352 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 517*x**3 - 242*x**3 - 247*x**3 + 2*x - 3*x + 1. Calculate j(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 + -88)*(1\/4)\/((-84)\/(-16)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442053 + -244?\nAnswer: 441405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12) + 67 + -66 - (-9 + 13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 192159*r**4\/4 + 2308081776*r**3 - 25383087059*r**2.\nAnswer: r**2*(r - 96074)**2*(r - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768128523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4515207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Let w(f) = -2 + 3*f**3 + 0 + 5 - 2*f**2 - 2. Give w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 60*m + 6. Let t be d(30). Solve -2*x = 4 + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5072.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = s + 9, -5*y + 35 = s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 64*q**2 + 67*q**2 - 131*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*c - 15. Suppose -2*d - 17 = -4*b + 3, c*b = -5*d + 55. Calculate the greatest common divisor of 28 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -647*b**2 - 9. Let j(t) = 646*t**2 + 11. What is -5*d(l) - 4*j(l)?\nAnswer: 651*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - q**2 - q. What is j(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*u + 7*u - 78, 0 = -5*r + 3*u + 358. Suppose 5*o + n + 224 = 0, -212 = o + 4*o - 2*n. Let x = r + o. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 10312?\nAnswer: 20624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 4. Let f be q(-3). Suppose f*r - 331 - 17 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 1, w: 2, a: 4, e: 4}. What is prob of picking 1 b, 1 e, and 1 w?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -8 - ((-188)\/(-141))\/((-4)\/57). Solve -36*x - 49 = b*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*f - 2*y - 2*y, 4*f - 3*y + 4 = 0. Is 12\/4 + (f + 328 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 371878, 371876, 371874, 371872, 371870, 371868?\n\"Answer: -2*z + 371880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/250 - -511\/2750. Let t be ((-2)\/(-2))\/((-7)\/2). Which is the closest to -1? (a) 4 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2764?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3 - 6072*t**2 - 2130972*t + 1017247920 = 0?\nAnswer: -1142, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -70. Is (0 - -3)\/(h\/(347 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/30)\/(1\/10). Suppose -l*c - 5*v = -11, -31 = -4*c - 0*v - v. Suppose 0 = 4*z - 7 - c. Is z <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 168 = 4*w, -4*w + 103 = -3*p - 67. Solve -5*j + 5*u = -10, 5*u + w - 40 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 72 = -13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602096 is divided by 1397?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 - 7*d + 66. Give a(8).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -24. Let a(f) = 311*f - 1. What is the hundreds digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + -3. Let w be 93\/2 + 9\/f. Let a = -34 + w. Calculate the remainder when 21 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 113.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)*3\/6. Is m <= 10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -235, -1156 in ascending order.\nAnswer: -1156, -235, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8988 is divided by 130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0*x**4 + 704*x + 30*x**4 - 3*x**5 + 118*x**2 + 275*x**2 + 111*x**2 + 5*x**5 + 384 + 176*x**3 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 9*q + 5. Let m(s) = -s**2 - s + 1. Let v(b) = k(b) - 5*m(b). Factor v(o).\nAnswer: 2*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1428)\/(-272) + 56927\/(-604)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -7\/1556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/15 and -157\/614658.\nAnswer: 3073290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/(-56) - 3 - 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26813995 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*d + 114, 5*d - 220 - 110 = -4*m. What is the least common multiple of d and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -258*i**5 + 3286*i**4 - 4786*i**3 - 1574*i**2 + 132*i = 0. Calculate i.\nAnswer: -1\/3, 0, 3\/43, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k - 48. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 26)*190\/25. Let t be (54\/(-21) - (-6)\/(-14))\/(-3). Sort 4, v, t.\nAnswer: v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285065*j - 285097*j = -864 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1136*d + 1152*d - 731120. Is d a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:43 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(484)\/(sqrt(22)\/sqrt(2)))\/sqrt(2))\/(sqrt(54)\/sqrt(3) + (sqrt(24) - sqrt(24)*-2)\/sqrt(12)) + 3.\nAnswer: sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/33020 and -37\/104.\nAnswer: 66040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfaah. Give prob of sequence zaf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:23 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47250 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -33*v**2 - 11*v - 11. Let z(j) be the second derivative of 0 - j**3 - 17\/12*j**4 - 48*j - 3*j**2. What is 6*x(f) - 11*z(f)?\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1843*l**3 + 2*l**2 - 4*l. Suppose -2*j = -0*j + 8. Let b be g(j). Round b to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/15 - 49558*d**2\/15 - 99134*d\/5 - 29742 = 0.\nAnswer: -3, 24785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33452, 33771, 34088, 34403, 34716, 35027, 35336?\nAnswer: 35643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(((j**(-2)*j)\/j)\/j)*j))*j*j**3*j**(-2\/9)\/((j\/j**(-7))\/j))\/((j**(-1\/10)*j**(-4))\/(j**(-2\/3)\/j)**(-36)) assuming j is positive.\nAnswer: j**(5929\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. What is the derivative of -4*t**3 + i*t**3 + 3 + 0*t**3 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 14. Let o be l(12). Let h be o\/7 - (2 + (-186)\/14). Solve -h*d + 13*d - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 342 = 168 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43356 (base 8) to base 4.\nAnswer: -10123232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*j + 2938 - 13929 - 38597 = 237*j for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*-1*sqrt(78))\/sqrt(6) + ((sqrt(78)\/sqrt(2) + sqrt(39))\/sqrt(3) - (sqrt(13)*-1 + 1)) + 4.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {r: 1, e: 1, z: 1, i: 1, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 5*q**2 - 5*q**2 + 2*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -228*k**3 - k**2 + 1. What is the units digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1588, 6413, 14458, 25723, 40208?\n\"Answer: 1610*a**2 - 5*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, b: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37214 + 5*t - 37214.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*k = -214*k - 84. Calculate the least common multiple of k and 69.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 7*p**2 - p + 8. Let j(u) = -8 + 2*u**2 + 38*u + 5*u**2 - 37*u + 2*u**3 - u**3. Let z(f) = 3*j(f) + 2*k(f). Calculate z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/12*-1 - 2)*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1453600 to the nearest 10000.\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - g**2 + 2*g**2 + (-1 - g + 1)*(3*g - g - 3*g) + (0 - 2*g + 0 + 0*g - 4*g + 0*g + (3*g - 3*g - 2*g)*(2 + 1 - 1))*(2*g - 4 + 4).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 1 (c) -5 (d) 3 (e) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + 71. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7137.824 years to decades.\nAnswer: 713.7824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*z = 459, -4*z = -5*v - z - 567. Let n be (v\/(-95))\/(6\/40). Suppose 2*k + 2*t - n = 0, t + t = k - 7. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144040 (base 10) in base 15?\nAnswer: -2ca2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4.4 (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.105?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6465 and -0.6.\nAnswer: -0.9879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 759 and 1106644.\nAnswer: 76358436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + u, 0*b + b + 8 = 4*u. Suppose -b*q = -3*n - 40, 3*n = n. Calculate the lowest common multiple of q and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-32 + -8 - -15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*-2)\/(-2)*(78\/63)\/(-26)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43.17 and 0.0310878?\nAnswer: 43.1389122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:30 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 49*l**2 + 15655*l - 82. Give t(-103).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7\/137, -4, 0.3, 3?\nAnswer: -7\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 31 - (460\/966)\/(28\/987)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 168. Suppose -w = 3*s - 21, 0 = 2*w - 0*w. Calculate the greatest common divisor of s and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.39905 milligrams in nanograms?\nAnswer: 37399050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 244569.44?\nAnswer: -244571.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 117424?\nAnswer: 821968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2735*n - 2766*n + 1240 = 0 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 0, -9*o = -2*z - 12*o + 387. Let i = 207 - z. Solve 0 = -4*h + 12, 4*x + 4 = i*h - 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 144835.203 and -171571.\nAnswer: -26735.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 657 or 2?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - -b82?\nAnswer: ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 40 - 19*n**4 - 7*n**3 + 11 in the form t*n + u + r*n**4 + x*n**3 + h*n**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165312979.\nAnswer: 13, 127, 100129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11 + 4 = 3*b, 5*n = 3*b + 3. Suppose -g = b*g - 885. Is g 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 {u: 3}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 728 divide 3834376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 18. Suppose -4*t - p = -6*t. Solve 2*s - s = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*m + 8*m + 180 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38973 - -38971. What is the nearest to i in 1\/10, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l + 1923. Let g be b(113). Let f(m) = -m**3 + 2*m**2 + 2*m - 2. Let n be f(3). Sort -4, g, 5, n in descending order.\nAnswer: 5, g, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 147, 99, 41?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 36*z - 1489. Determine x(57).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 17. Let f(g) = -g**3 + 6*g**2 + 4*g - 3. Let t be f(6). Suppose -4*z = t + 7. Does 11 divide d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 1. Suppose 0 = 10*t + 13*t. Put v, t, 4, -5 in ascending order.\nAnswer: -5, t, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l + 4. Let t(y) be the second derivative of 4*y**3\/3 + 5*y**2\/2 - 20*y. What is 6*f(i) - 5*t(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 times 0.130317?\nAnswer: -14.725821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a + 3460 - 51*a - 476 + 168*a - 60*a in the form t*a + i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2896*c - 2900*c + 84 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3396094 and 1014.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 3. Let u(s) = -s**3 + 9*s**2 + 10*s - 6. Let c be u(10). What is the units digit of n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 0*c**3 - 2*c**3 + (5*c - 4*c + c)*(-3*c + 3*c - c)*(-15 + 15 - 5*c) to the form v*c**3 + n + y*c + j*c**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p**1*p)\/p))\/(p*p**(-11)*p))**39)**(-20) assuming p is positive.\nAnswer: p**(-6240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 9, 1, 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2771)\/170 + 16)*5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 22*d - 4. Let o(s) = -24*s + 6. Let p(k) = -9*h(k) - 6*o(k). Let n(b) = -4*b. Give p(n(z)).\nAnswer: 216*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.1 (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178652313 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**6\/180 - y**4\/3 - 2*y. Let g(o) be the third derivative of x(o). Let i(h) = -2*h. Calculate i(g(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h. Suppose 0 = 5*d - 4*x + 5 + 1, 4*x = -4*d + 24. Let n(i) = 9*i**2 + 2*i**d - 10*i**2. Calculate n(m(f)).\nAnswer: 196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 156*f - 157*f - 85, 0 = -5*o - 3*f + 85 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*0.144\nAnswer: -0.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 547?\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, 0, 132 in decreasing order.\nAnswer: 132, 0, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.319104 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036650611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -429358.319 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4798 + -3432. Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 4 - 18*2\/(-4). What is the third derivative of -141*q**2 + 39*q**x - 8*q**3 - 22*q**2 + 4*q**3 - 13*q**4 wrt q?\nAnswer: 624*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118104 divided by 4.\nAnswer: 279526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1264476 + -893488. Suppose -g - 3*d = h, 6*d + 1855004 = -5*g + 7*d. What is g rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 + 7 = 0. Suppose -k*x + 25 = -11*x. Let q(w) = -w**3 - 3*w**2 + 5*w - 1. What is the tens digit of q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + o. Let a(f) = -f - 1. Let q be a(1). Put o, q, -1 in ascending order.\nAnswer: q, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*w - 24*w + 7*w)*(-1 + 1 + 1)*(-3*w + 12*w + 3*w) as n*w**2 + s*w + a and give n.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-117)\/(-12) - ((-4)\/4)\/4. Let o be (-177)\/93 + -4*(-5)\/a. Suppose 0 + 1 = m. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c**4 + 0*c**6 + 3\/7*c**7 + 1\/3*c**3 + 0*c + 0*c**2 + 0*c**5 - 1. What is the third derivative of g(o) wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/(-40)*(24 - -4))\/((-2)\/(-10)) and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -155. Let z = -98 + y. Which is the third smallest value? (a) 3 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 1. Let d(y) = -4*y + 11. Let f(i) = -d(i) + 5*w(i). Let g be f(0). Let q be g\/(-21) - (-36)\/70. Are 0 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 + 0.13. Let c = -5.163 - -2.763. Is c at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - p + 41186 = 0, 121*k - 117*k = p + 41190. Does 173 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 22969664.\nAnswer: -17\/22969664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (5 - (-8 + 8))) + 19\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*h - 441*h - 2568 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -916, 0.3, -0.35?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665516\/19 at least as big as 140290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -4\/5 (b) 0.44322 (c) -0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3307165919 - 114011237717603\/34474. Let v = q - 3\/1567. What is the common denominator of v and (-4)\/(-12) + (-226)\/(-36)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 5*u - 2, 0 = -5*l + 4*u + 4. Solve l = 4*r - 7 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(1624\/210 - 8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 + 658. Is d a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**2 + 5. Let q(h) = 3*h - 2. Let o(r) = -56*r**2 - 9*r + 30. Let l(c) = o(c) + 3*q(c). Give 24*g(d) - 5*l(d).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69660 = -1739*n - 841*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/1161 and 73\/258.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -28. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 90 + 174)*(-4*f + f + 4*f).\nAnswer: 188*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 504, 4, 0, -4, 6 in descending order.\nAnswer: 504, 6, 4, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2503079*f - 25030883. Give q(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102341, -102044, -101233, -99650, -97037, -93136, -87689?\nAnswer: -80438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 121014372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -0.5 (c) -4.616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - h + 1. Let z(o) = -10*o**2 + o + 3. Give -b(s) + z(s).\nAnswer: -9*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11438 at most as big as 11437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 776*l - 7*l**2 - 776*l - 36 to a*l**2 + s*l + p and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/114 and -67\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121226, -242450, -363670, -484886, -606098, -727306, -848510?\nAnswer: -969710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -6, 17, 31, 35, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 1. Let m = y - 4. Let x = -0.3 - -0.3. Which is the second smallest value? (a) -3\/8 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -l - 24, -77982*l + 77978*l = 3*r + 52 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m - 0*m. Let g = -2 + m. Let b = 0 - 0. Solve -3*z - g*n = -z - 16, b = z + 2*n - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*y - 274006, 5*y + 5823 = -2*r + 279787. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from osvvvcrvsasvc?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32370534, 32370536, 32370538, 32370540?\nAnswer: 32370542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 - 5613?\nAnswer: -6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38883 is divided by 220.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*y**4 - 1430*y**3 + 5755*y**2 + 1350*y.\nAnswer: 5*y*(y - 27)*(y - 5)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*q + 225*q = -273 - 192 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3 + 2 + 0)*-1. Let m be (4 - (-25 - 4))\/(w + 0). Let a = -19 - m. What is the least common multiple of a and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(6\/18). Let u be (-21)\/3*-1 - o. Suppose -4*m + 75 = u*y + m, 0 = -4*m - 20. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/225, 8, -0.06, -3.\nAnswer: -3, -0.1, -0.06, -2\/225, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 22\/5. Let t = -59\/2 - -29. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(6))\/sqrt(3) - sqrt(51)\/sqrt(3)*-1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 47, 1, -212.\nAnswer: -212, -54, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469*b**4 + 4893*b**3 - 8687890*b**2 wrt b?\nAnswer: 11256*b + 29358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 4*m - m - 7*m. Let w be y(-3). Suppose -2*n + 4*h - w = -6*n, 0 = -4*n + 2*h + 36. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 35 = -0*b + b, -b - 55 = -5*c. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 50*y - 227. Give v(-22).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 924, -2.\nAnswer: -2, 3\/7, 924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -35, -70, -111, -158?\n\"Answer: -3*j**2 - 20*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36572 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 7014*b + 35067\/5.\nAnswer: 3*(b - 11689)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvv when three letters picked without replacement from {v: 4, p: 2, n: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27825 less than -33506117048?\nAnswer: -33506144873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042999 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 844, 1625, 2414, 3217, 4040, 4889, 5770?\nAnswer: 6689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -85, -1, 2, 24 in increasing order.\nAnswer: -85, -5, -1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6)\/sqrt(3)*4*5)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*q**3 + 23*q**2 + 15 + 9*q**3 + 7*q**3 + 3*q**3 + 6*q**3 in the form d + p*q**3 + m*q + h*q**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -292*f**3\/5 + 112*f**2 - 244*f\/5 - 24\/5.\nAnswer: -4*(f - 1)**2*(73*f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 p, and 1 f when four letters picked without replacement from {a: 2, v: 4, f: 2, p: 5}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6 = -5*p - 3*g, 5*p = g + 18. Suppose -2*h = -3*z - 1, 2*h - 2*z - 5 = -p. Suppose -3*y + 2 + 18 = c, -5*y = -h*c - 48. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -4*a, -2*h + 0*h = -5*a. Solve -2 = h*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -o + 3*m - 82870 + 82839, 5*m = -o + 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45976 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 30*u**2 - 152*u - 758. Determine i(-25).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99562 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 - 233\/(-5). Let t be 12\/(-30) - w\/(-5). Solve 0 = -4*r - 25 + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 757?\nAnswer: 5\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -1, -12.12, -3\/4, -3\/2 in descending order.\nAnswer: 2, 0.4, -3\/4, -1, -3\/2, -12.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 35, 47, 57?\n\"Answer: -x**2 + 17*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 452895614 to the power of 1\/2, to the nearest integer?\nAnswer: 21281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 22032455.\nAnswer: -3\/22032455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(14 + 8 + 8) - 2 - 1 + 1)*(2 + 0 - 3)*(-t + 4*t - 2*t).\nAnswer: -58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:47 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**27*i*i)\/i**(-3\/25) assuming i is positive.\nAnswer: i**(728\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*r**2\/5 + 15924*r\/5 + 16118\/5.\nAnswer: -2*(r + 1)*(97*r - 8059)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*x - 2, -23 = -2*z + 3*x + 20. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27325904 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-87)\/(-12))\/(2\/8). Let i = o + -9. Calculate the highest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (17 - -39 - 24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*s + 82 = 88, 0 = -z - s + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -50027732 and -50027730 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205 divided by -179.\nAnswer: 1205\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 5*j**2 + j. Let g be z(5). Suppose 10*i - 225 = g*i. Suppose 0 = 5*h + i - 250. Is h greater than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149499 divided by -3?\nAnswer: -2149499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - 13*t + 9. Let f be h(4). Suppose -2*x - f*l = -31, 2*x - 5*l = -x + 59. Let q(b) = 4 - 2 + 16*b**2 + 3*b - x*b**2. What is q(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s - 26*s**2 - 9*s + 5*s**4 - 5*s wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/8*(928\/(-4872))\/(4\/42)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v**2 + 13*v**2 + 26*v**2 + (0*v + v + 0*v)*(-2*v + 0 + 0) + 4*v**2 + 23*v**2 - 3*v**2 - v**2 - 15*v + 15*v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001186245 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 5*n = -2*g + 4, -2*n = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 9}. Give prob of picking 2 j and 1 y.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -25555?\nAnswer: 25557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/130)\/((6\/(-4))\/((-270)\/72)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 106715462?\nAnswer: 533577310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -25\/3*m**3 + 0*m + 14 + m**5 - 15\/4*m**4 - 5*m**2 + 5\/6*m**6. Find y such that d(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2139709797 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 + m. Let k(a) = -2*a + 6. Let n(b) = 14*b - 44. Let x(t) = -44*k(t) - 6*n(t). Give l(x(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1314, 1313, 1312?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23625 (base 10) to base 11.\nAnswer: -16828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from bgcca.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124478 + 37965753\/305. Find the common denominator of b and -143\/6.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53721 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90.86 - -91. Let k = -16.14 + m. Sort 3, -0.2, 5, k in descending order.\nAnswer: 5, 3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 34*i**5 + 246*i**4 - 302*i**3 - 726*i**2 + 268*i + 480 = 0.\nAnswer: -8, -1, 1, 30\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2273005 and 61\/22505.\nAnswer: 2273005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(1 + 2 + 1)*(0 + 0 + 3)*(-2*m**4 + 3*m**2 - 3*m**2).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (12 - 2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6)*4\/((-8)\/6). What is the second biggest value in y, -0.57, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -0.01 (c) 6\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, 5*x - 111*k - 30801 = -114*k. Is x a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -114767.\nAnswer: 78\/114767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 = -4*a, -4*b + 3*a - 7*a = -8. Solve b*c = 4 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - 73044\/(-1260))*(-3)\/((-168)\/(-20)).\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 3 + (2 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9150 divided by 1365.\nAnswer: 610\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**3 + 8*r**2 + 8*r. Let s(p) = -9*p**3 + 5*p**2 + 5*p. Let q = -14 - -22. What is q*s(u) - 5*w(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 14, -62, -0.1, 0.2, -0.06?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248195\/112 - 2216. Calculate the common denominator of 121\/504 and b.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*q + 2*o, -7*q + 412*o - 833*o = -419*o - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/31))\/o**(-2\/31) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1209 + 21782\/6045. Let 8\/5 + 26\/5*r + c*r**2 = 0. Calculate r.\nAnswer: -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -41. Suppose -4 = -5*y - l. Let i = -19 - y. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54188872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 6*p + 4. Let w be n(-7). Suppose -91*m = -87*m - 16. Suppose -2*r + 2*v = 2*r - 26, -m*r - 2*v = -14. Sort r, w, 1 in ascending order.\nAnswer: w, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 3 + 2*g + 5*g. Let v be w(5). Let q be 0\/v + 0\/6. Solve q*a - 4 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3760.772 seconds?\nAnswer: 3760772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/8, 5\/2 in descending order.\nAnswer: 5\/2, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**5*a)\/a*a**(-3\/8)*a**2\/(((a*a**(-3\/5))\/a*a)\/a))\/((a*(a*a\/((a**(-1)*a)\/a*a))\/a*a)\/(a*a**6*a*a))**(-33) assuming a is positive.\nAnswer: a**(-7511\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.91 + 1.91. What is the second biggest value in r, -3\/7, -2\/11, -20?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*s + 17327, -397*x + 3439 = -396*x - 5*s. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -7*i**4\/24 - 6314*i**2. Let z(q) be the second derivative of -q**3\/2 + q. Determine z(w(n)).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-7))\/o)\/(o\/o**(-31)))\/(o**(-36)*o*o**14) assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -152320 divided by 17\nAnswer: -8960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 6*c + 3. Let u(y) = -2*y**2 + 5*y - 2. Let p = -680 + 677. What is p*g(h) - 4*u(h)?\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12329.39 - 12604. What is t rounded to zero decimal places?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119270 is divided by 618.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -3)*(-134)\/(-201) + 150\/3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-35 + 31 + (1 - -11)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 222*g**3 - 5*g. Let f(b) = 221*b**3 - 6*b. Calculate 5*f(i) - 6*w(i).\nAnswer: -227*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -4\/3, -1\/43, -3, 0.5?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + 2 + (sqrt(363) + -2 + -4 + sqrt(363))**2 + 1 + 3.\nAnswer: -264*sqrt(3) + 1496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/11220*-99)\/((-54)\/(-8))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/719 + 29527\/4314. Calculate the common denominator of d and 43\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2435051 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3\/10)*l\/(l\/(l\/(l*l**(-1))))*l\/((l*l\/l**(-5))\/l)*l**(-6)*l assuming l is positive.\nAnswer: l**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 2) + -2 - -4. Find w, given that -2*w + 2*w**2 - 4*w - x + 6*w**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 6*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q**5\/13 - 1058*q**4\/13 - 808*q**3\/13 + 232*q**2\/13 = 0 for q.\nAnswer: -58, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 22*t + 43 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 216266919, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - -45. Is 0.3 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from uwzuwzuzzzuwzzzuzzwu?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 543*b + 23. Let a be h(6). Suppose 3*z - a = -1187. Suppose 2*p - z + 204 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 12 - 32. Calculate the greatest common factor of 16 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:09 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a1b (base 16) in base 8?\nAnswer: 75033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 10?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2420012 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22670695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*i - 15 = 0, 0*x + i = -3*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -485001, -969984, -1454967?\n\"Answer: -484983*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -1 + 5\/4*l**4 + 0*l**3 - l + 0*l**2. Suppose -1 = 2*q - 3. What is z(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.08*-0.05\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 97\/2 of a meter?\nAnswer: 4850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 3\/4 in descending order.\nAnswer: 15, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4235, 4240, 4229, 4196, 4135, 4040, 3905, 3724?\n\"Answer: -l**3 - 2*l**2 + 18*l + 4220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19261452 and 4.\nAnswer: -19261448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**2 - 2*o**3 - 11*o**2 - 4*o**2 as a*o**2 + k + h*o + p*o**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226199769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k - 16*k + 3358 - 3127. Let f be m(-6). What is the highest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11525, 23051, 34591, 46151, 57737, 69355?\n\"Answer: k**3 + k**2 + 11516*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:34 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k**(-7)*(k**(-1)\/k)**21)**(2\/5) assuming k is positive.\nAnswer: k**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -39\/22, -3150, -0.5 in descending order.\nAnswer: 2, -0.5, -1, -39\/22, -3150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n*(n*n**0)\/n*(n\/(n\/(n\/(n**(2\/7)\/n)))*n)\/n**3)**48 assuming n is positive.\nAnswer: n**(-1776\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -882447.48 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4124310 - -422?\nAnswer: 4130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 - -0.03. Let g be 2\/(-36) - (-112)\/(-252). Let p = -7 + 3. Which is the biggest value? (a) -0.4 (b) p (c) g (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 = -8*t. Find the third derivative of 7*r**4 + 9*r**4 - 35*r**2 + 25*r**t - 5*r**4 wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/2, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5106300 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16236)\/216)\/11)\/(3 + (-57)\/18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 223?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/55 <= -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**4 + y**3 + 2*y**2 - 2*y + 1. Let b(i) = 5*i**5 + 87*i**4 - 35*i**3 + 2*i**2 - 2*i + 1. Let s(l) = -b(l) + d(l). Find f, given that s(f) = 0.\nAnswer: -18, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.9, -5, 56 in increasing order.\nAnswer: -5, 0.9, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 4, 39, 88, 151, 228, 319?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*l - 21. Let h be ((-48)\/l - 2)*(-5)\/2. What is the second derivative of -6*z + 24*z + h*z - 6*z**3 - 20*z**3 wrt z?\nAnswer: -156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 65279196?\nAnswer: -26111678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 21. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + o - 5 = -22, 0 = 2*r + 3*o - 17. Suppose r = -2*x - 0*x, -4*w - 2 = x. Solve w*q = q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3900 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -25058?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:06 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -9\/23 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6551617 nanometers?\nAnswer: 0.0006551617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 2*o + 5*q, -3*o = 2*q - 156 - 7. Which is smaller: 52 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031597938 to the power of 1\/4, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1435 - 174*s - 1390 + 216*s + 4*s + s - 4*s + (3 + 0 - 4)*(-s + 0*s + 3*s) - 2*s - 4*s + 5*s to n + c*s and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 41*d**2 - 153*d + 2602. Calculate l(20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1. Let z be 24\/14 + -2 - (-690)\/161. Let c(j) = 2*j**2 - 10*j + 4. Let p(k) = z*g(k) + c(k). Factor p(b).\nAnswer: 2*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/6*1\/(-1))\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 17*v**2 - 63*v + 144. Calculate s(12).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 124*t**3\/3 - 154*t**2 - 4*t + 64. Find the first derivative of w(l) wrt l.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1886*b**2 - 711*b**2 + 3891*b**2 - 547*b**2.\nAnswer: 747*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10021022 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**2 - 1989*i + 9561.\nAnswer: -12*i - 1989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.055 in 1\/3, 20, 8\/7, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 594.544 + 1.956. Let v = 633.73 - d. Let l = 38 - v. What is l rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*v = 2408, 1763 = -5*k + 2*v - 4233. Let b = k - -1881. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 280812?\nAnswer: 1965684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1464961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7966 greater than or equal to 59995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3944, -6243, -16430, -26617, -36804?\nAnswer: -46991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 500566*w\/5 + 500576.\nAnswer: -2*(w - 250288)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -67*f + 18*f + 886 - 887. Let s(b) = 2*b**2 + 2*b - 2. Let o(a) = -a + 1. Let w(x) = 2*o(x) + s(x). Calculate r(w(i)).\nAnswer: -98*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:16 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.685341008 rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 256 + 140. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (322\/(-28) - -11)*0\/3. Factor 3\/5*z**2 + v + 0*z.\nAnswer: 3*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(-1)*(-9)\/3. Sort -3, a, -14 in decreasing order.\nAnswer: a, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724, -1447, -2170, -2893?\nAnswer: -3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23261145 and 12?\nAnswer: 93044580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1596.711l to millilitres.\nAnswer: 1596711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57567.4 meters to centimeters.\nAnswer: 5756740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4435468 at least -4435469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2459774*o - 2*o**3 + 2459776*o + 3*o**3 - 6*o**2 - 2*o**3 + 17 as k*o**3 + f*o**2 + v + x*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 3*j**2 + j + 1 + 0*j. Let b(g) = -g**2 - 5*g - 3. Let p(n) = -3*n**2 + 31*n + 4. Let c be p(9). Let u = -41 + c. Calculate u*b(o) - 3*r(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14100*k**3*o**3 + k**3*o**2 + 5225*k**2*o**2 - k wrt o.\nAnswer: 84600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-40)\/((1*-8)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877, -11954, -27227, -48696?\nAnswer: -76361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 33*t**2 - 141*t - 55. Calculate f(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1706*d**2 + 12*d - 12. Let p(n) = -1705*n**2 + 8*n - 8. What is -6*p(i) + 4*q(i)?\nAnswer: 3406*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.43\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 36*h + 1 + 14 - 33*h. Let t be c(-6). Let w = -0.15 + 0.25. Sort t, w, -0.4 in decreasing order.\nAnswer: w, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 18 + 9 + 13 + 7*k. Let o be z(-12). Solve -o*w + 2 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 3*y - 4*y)*(-6 + 1 + 3 + (2 - 3 + 0)*(0 - 3 + 2) + 1 + 2 - 1 + 5 - 3 + 1) to a + f*y and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + 20*w - 6. Let t be c(5). Suppose -86 = -3*y - 4*k - 0, -t = -4*y - k. Solve -v + 2 = p - 0, 5*v - 3*p + y = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 73*u + 45. What is d(12)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2*-1 - -4. Let p(v) = v**2 + v - 1. Let d(h) = 4*h**2 - 2*h + 1. Let q(i) = d(i) - 2*p(i). Does 9 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by ((-93)\/(-62))\/(3\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-527)\/34 - (0 - 13)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13983?\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3060433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (1*sqrt(2268) + sqrt(2268)))**2 - sqrt(63).\nAnswer: -3*sqrt(7) + 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247128*v - 247096*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7188594 or 7188595?\nAnswer: 7188595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -23. Let c be 2 + (-1 - (-2 - -1)). Suppose 2*q = 2*v + 14 + 12, -50 = -2*q - 4*v. Solve c*u + 6 + p = n, -u + q = 4*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42660 and 108.\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 119\/150?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 145, 141, 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, w: 2, r: 5}. Give prob of sequence rx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*j - 4 - 3, -5*f + 3*j + 23 = 0. Suppose 2*r - f = 14. Let l = 12 - r. Solve l*h + 2*h = 4*a, -a + 5*h + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8621 - 0.8633269. What is m rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, y: 5, u: 4}. What is prob of picking 2 u and 1 x?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -4, 9.508 in ascending order.\nAnswer: -4, 9.508, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51354, 51353, 51352, 51351, 51350, 51349?\nAnswer: 51348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1939 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24271321 is divided by 8090365?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378804*o**3 - 387191.\nAnswer: -1136412*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.068, 13, -0.6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/9*24\/(-16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (953*b + 8116 - 8116)*(-2 + 0 + 1) - 4*b + 0*b + 2*b in the form w*b + v and give w.\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/39 in 47, 1, -61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -1. Let i = z - 4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 267399 - -7?\nAnswer: 2673a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6853081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -1\/10*z**6 + 0*z**2 + 3\/14*z**7 - 9\/20*z**5 + 0*z**3 + 1\/4*z**4 - 3*z + 6. Determine r so that f(r) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-14)\/(-7))*(-1)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*p - 18, 5*d + 23*p - 28*p - 25 = 0. Let k = 211 + -16248\/77. Is d at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {l: 1, z: 2, p: 1, e: 2, f: 1, v: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4750 - 4736. Let j be 7\/3 + (-1)\/3. Find the first derivative of -3*g**2 - d - 10*g**j - 4*g**2 wrt g.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2519 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6465749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000781353 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*p + 0*p = -36, -2*p + 16 = 2*f. Let a be 18\/12 - f\/(-8). Suppose -3*t - a*t + 1330 = 4*u, -3*t = -u + 341. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100)*-4 + 5) + -4 - (1 + ((-3*sqrt(1100) + -2)**2 - 2*(sqrt(1100) - (sqrt(1100) - ((sqrt(1100) - -1*sqrt(1100)) + sqrt(1100))))**2)).\nAnswer: -280*sqrt(11) + 9911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 4. Let h be p(7). Suppose 7 + 2 = h*l. Let n(w) = -109 + 108 - 2*w + 2*w - w. Give n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 30*o**3 - 9*o**2 + 3*o + 4. Let n(x) = x**3 + x**2 + x + 1. Let i(z) = -6*n(z) + 2*r(z). What is the third derivative of i(k) wrt k?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13044 (base 6) in base 7?\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/2 - 2) + -1. Let w = i - 5. Find the common denominator of w\/54*-89 - -1 and -77\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + (sqrt(495)*-2*-4)\/((sqrt(99) - (sqrt(99) + 1*sqrt(99))) + sqrt(99) + sqrt(99) + sqrt(99)))**2*1)*-5.\nAnswer: -550 - 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*n**2 + 10*n + 675*n**2 - 20*n + 10*n.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -278439268 to the nearest one million.\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9898 by -14.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3388, -13394, -30076, -53434, -83468, -120178, -163564?\nAnswer: -213626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/33560362 and -29\/220.\nAnswer: 335603620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -143, -559, -1453, -3005, -5395, -8803?\nAnswer: -13409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -7*v + 74. Calculate the lowest common multiple of 75 and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411546 (base 8) in base 13?\nAnswer: -10c315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232000212 + -110?\nAnswer: -232000322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 + 2*g + 2. Let l(q) = q - 11. Let t be l(11). Suppose s - 5*s + 8 = t. Suppose -4 = 4*f - s*p, 4*p = 3*f - 0*p - 7. What is m(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -341, -840, -1661, -2798, -4245, -5996?\n\"Answer: m**3 - 167*m**2 - 5*m - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4278*l - 47236. Determine f(11).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from {n: 3, k: 4, t: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7 times 260?\nAnswer: 4862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1200*i**3 - 12*i**2 + 12*i + 24. Let u(j) = j**3 - j**2 + j + 2. Give b(c) - 12*u(c).\nAnswer: 1188*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5624048 + 114574568 = 4*s. Let g = s + -16609654. Round g to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:53 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181784.5um in centimeters?\nAnswer: 18.17845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 8. Let o(z) = -351*z - 20. Give -3*d(i) - o(i).\nAnswer: 333*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 5*h**4\/8 - 35*h**3\/3 + 30*h**2 - 89. Factor b(p).\nAnswer: 5*p*(p - 12)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6875187794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 9*s**2)*(-322*s + 3848*s + 50*s + 2398*s).\nAnswer: 41818*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 9. Let z be k(-8). Let j(g) = -3*g**2 - 3 - g - z - g + 3. Let x(c) = -c**2 - c. Calculate -j(m) + 2*x(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) -308\/29 (c) 1\/4 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -25. Put n, 0, 3 in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/36)\/((-4)\/(-168)))\/(8\/12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 60 (b) -7\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.65 (c) 4\/15 (d) -2\/735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133.7 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236*c**5 - 80*c**5 + 120*c**5 + (0*c**4 + 2*c**4 + 0*c**4)*(5*c + 0*c - 3*c).\nAnswer: -192*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:01 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -p + 6*p - 30, 0 = 4*p + 3*z - 24. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/7 (b) -410\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3*z - 26*l**2 + 2*l*z**2 + l*z - 660*z**2 - z wrt l?\nAnswer: 3*l**2*z - 52*l + 2*z**2 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12782800 to the nearest 100000.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 49*m + 156. Let i be z(-3). Solve -i*t - t = 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4092659 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57 (b) -0.2 (c) -5\/374 (d) -0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 866160?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 798, 1933, 3508, 5523, 7978, 10873?\nAnswer: 14208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.62 - 4.48. Let v = s + 5.1. Let f(r) = r. Let i be f(4). Sort v, 0.4, i in descending order.\nAnswer: i, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139678148?\nAnswer: 2, 34919537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.7246398 rounded to 2 dps?\nAnswer: -215.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -6)\/(2\/(-8)). Let f(t) = 2*t**3 + 0*t**3 - 2 - 3*t**3 + b*t**2. Suppose 72*a - 35*a = 22*a + 45. Give f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31554 and 178704.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*r - 38, -9042 + 9055 = -3*r + 2*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 + 8955*l + 319550 = 0 for l.\nAnswer: -35, 1826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*((-384)\/(-36) + -11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 277876535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/4*(-12)\/15. Let q = 1 + 0. Suppose -2*t - g + a = 0, -g = 3*t - 3*g - q. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, 14, -5, -6 in decreasing order.\nAnswer: 14, -1, -5, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a factor of 42390423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6.2. Let t = r + 1.2. Let b = -1.8 + t. Sort b, -0.2, 3\/5.\nAnswer: -0.2, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9449, 14402, 19341, 24260, 29153, 34014, 38837, 43616?\n\"Answer: -w**3 - w**2 + 4963*w + 4488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m*v**4 - 19*m*v**3 + 2*m*v + 140*m - 2*v**5 + 3*v + 1 wrt v?\nAnswer: 48*m*v**2 - 114*m*v - 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.6589 * 12.\nAnswer: 91.9068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534019384 divided by 133504846.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + -6*((sqrt(117) - sqrt(117)*1) + sqrt(117) + -1)**2).\nAnswer: -709 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 58*v = -1376. Is v a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*t - 197526 = 62*t. Suppose 1028*l = 1034*l - t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21490 or 8\/29?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 285*(-39)\/(-585)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 520284 (base 12) to base 5\nAnswer: 312123040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 4*z - 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3. Let h be j(3). Suppose 5*v - 3*v + 24 = 4*v. What is the greatest common divisor of h and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312012311 (base 4) in base 7?\nAnswer: -11365634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 6*s**3 - 3*s - 2 - 3*s**3 - 2*s**3. Let a be n(-2). Let w(f) = f**2 + 2*f - 2. Let z be w(-3). Solve z + a = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18273 = 122*u + 19981 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3*g**8\/8 - 97*g**4\/6 - 129*g + 63. Let y(o) be the first derivative of n(o). Find the third derivative of y(u) wrt u.\nAnswer: -2520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5911, 6705, 7499, 8293?\nAnswer: 9087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 * 2\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*(-377)\/13)\/1)\/(688\/86).\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16866 - 549*p**3 + 16861 - 3117*p**3 with respect to p.\nAnswer: -10998*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 3*i + 2*h, -5*i + 2*h = -4. Let o = 4 - 10. What is the remainder when (o\/(-4))\/((-1)\/(-2)) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 5*u**8\/28 - 2*u**6\/15 + 10*u**4\/3 + 35*u. What is the third derivative of f(z) wrt z?\nAnswer: 1200*z**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117145 or 15?\nAnswer: -117145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -10 in ascending order.\nAnswer: -10, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2904, -2847, -2786, -2721, -2652, -2579?\n\"Answer: 2*z**2 + 51*z - 2957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17497259 and 3324?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2569082.\nAnswer: 2\/1284541","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 196 = 34. Let x = m - -102. Suppose -4*t - 5*q + 173 = -x, -5*t + 273 = 3*q. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 530?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 947, 1531, 2187, 2915, 3715?\nAnswer: 4587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -12?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3619 - -3618. Let d = -595\/4 + 148. What is the nearest to 0.2 in d, s, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 3*g + 2. Let f be x(4). Let c(s) = s + 1. Let a(w) = -2*w**3 - 2*w**2 + 4*w + 4. Let r(n) = f*c(n) + a(n). Solve r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15049670 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 2*j**2 + 1546*j + 4645. What is m(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/17)\/(o\/o**(-3\/4)))\/(o*o**(3\/4)\/o*o*o\/o**7*o))\/(((o\/(o\/o**7*o))\/(o\/o**(2\/13)))\/(o**(4\/5)\/o*o**5*o)) assuming o is positive.\nAnswer: o**(4483\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 1, l: 3, s: 1}. What is prob of picking 1 l, 1 k, and 1 s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*a - 4, a = -4*q - 16 + 5. What is the lowest common multiple of 99 and (-327 - 24)*q\/6?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755.205 millennia in centuries?\nAnswer: 77552.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide ((-366)\/4 + 3)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.23 + -4.12. Let m = p + 3.128. What is m rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**4*z + 3*u**4 - 2416*u**3*z + 7970*u**2*z + u*z - 26 wrt u?\nAnswer: -96*u*z + 72*u - 14496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5502891 and 10946?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 493290 - 493286. Let d = 0.08 + 0.22. What is the third smallest value in 0, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257457 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.168131491 minus 0?\nAnswer: -0.168131491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 4*w + 68715*w**3 + 2*w - 68711*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -310\/283 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 4*c - 36 = 0, 2*o - 160*c - 8 = -162*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200587 = -5723*c - 301696 - 244622 + 220389 for c.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 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: Calculate -228762745 divided by 45752549.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426*o - 1488 = 420*o. What is the lowest common multiple of 12 and o?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*y**3 + 11\/6*y**2 - 23\/6*y - 35\/6.\nAnswer: -(y - 7)*(y - 5)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12)*(-5 + 5). Suppose -4*c - 1 = -3*s + 6, 0 = -2*c - 4*s + 24. Solve -c*v - 2 = -2*m - 0, p = -2*m + 3*v - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h - 766. Let b be o(-45). Sort -4, -80, b in descending order.\nAnswer: b, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-949 + 734 - 1104)*(13 - 4*r + 12 - 26)*(1 + 3 - 2) to the form q + d*r and give q.\nAnswer: 2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194.1839 + 0.2161. Let q = 10.4 - n. Let m = q - -183.9917. What is m rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + (-63)\/(-14). Solve -z*g + 8 + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and -28*(315\/(-14))\/15?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:51 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181 (base 16) in base 4?\nAnswer: -20012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1076 + 146?\nAnswer: -b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -2, -66723 in descending order.\nAnswer: 286, -2, -66723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181*-0.5.\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6 + (-6)\/(-9). Let s(x) = -x + 6. Let y be s(4). Let q(t) = -4*t + y*t + 2*t - t**j. Let k(c) = -4*c**2. Calculate k(q(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 11 + 16)*(-4*h**2 + 3*h**2 - 6*h**2)*(-9*h**2 - 99 + 99)*(-3*h - 4*h + 5*h + (-h + 0*h + 3*h)*(1 - 5 + 2)).\nAnswer: -4914*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -38*a - 144 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.2. Let w = 159 - 177. Let b be 9*(-4)\/w*6\/20. What is the nearest to b in 3, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -60, -66, -56, -24, 36, 130?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/9 - 5267818*f**2\/9 - 3468756747430*f\/9 - 24281039109614\/9 = 0.\nAnswer: -1316951, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-49)\/56*-4*36\/294)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*c**2 - 254*c + 4.\nAnswer: 2*(c - 2)*(63*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*w + 2 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 29. Let i = 133 + -137. Let r be p(i). Solve -3*n = 2*y + 9, -y + 0*n - r = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7508810, 15017621, 22526432, 30035243?\nAnswer: 37544054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**4 - 7*i**4 + 5*i**4 + i**4 - 2*i**4 - i**4 + (i**2 - i + i)*(4*i - 4*i - i**2))*(-1 + 38 + 40) as d*i + h*i**4 + n*i**2 + y + b*i**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3656 - 2531. Suppose 5*t - 560 = f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = -6254 - 7006. Let r = 738 + j. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Suppose t*n = 2*a + 55, -8*a + 4*a + 85 = 5*n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 3. Let g(x) = 0*x - 1 - 3*x - 1. What is -7*g(w) + 4*z(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915 = 137*v - 181 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 15. Suppose -2*x + 312 = -2*i - 76, -4*x = -3*i - 772. Let y = -170 + x. What is the greatest common factor of h and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2433096 divided by -608274\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22886, -45773, -68660, -91547, -114434?\n\"Answer: -22887*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -135*i + 18. Is 62 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 87. Solve -5*c - 4*w + 6*w = -17, h = -5*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 1\/152, 5, -2\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39146*m + 20 = -2*r - 39150*m, 2*r = 3*m + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39960818 to 5 dps.\nAnswer: 0.39961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -71 in decreasing order.\nAnswer: 1, -14, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2366103, 2366139, 2366175, 2366211, 2366247?\n\"Answer: 36*z + 2366067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 24*c - 162. Let i(u) = 30*u - 161. Let b(j) = 4*i(j) - 6*s(j). Is 7 a factor of b(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccmccccccmcmmccccc. What is prob of picking 3 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 5 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -5. Suppose y*p = -h, 5*p + 5 = -h - 4. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = 134. Let l be (1\/(-3))\/((-4)\/a). Solve -4*d**l + 0*d**2 + 4*d + 0*d**2 - 2 + 2*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93940 is divided by 199?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 10\/(-3))*18\/(-10). Let a = 2877\/2 - 520741\/362. Let c = a - -368\/543. What is the third smallest value in l, c, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/3 - 154976*o\/3 - 6004390144\/3 = 0.\nAnswer: -77488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -1 (c) 8 (d) 1.1 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 3 - (10 + 0) - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/24 + w**3\/6 - 5*w**2. What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/8 - (-2)\/(-4). Let s = r - 2. Let c = -8394 + 8392. Is c at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.366098851 - -0.3661. What is r rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23313313 (base 7) to base 10\nAnswer: 2054041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*t - 265 + 45, -5*l + 282 = -t. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -462 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12177*c - 688*c - 3482*c.\nAnswer: -16347*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 274, 1 in ascending order.\nAnswer: -4, 1, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2182975598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73414.\nAnswer: 2, 11, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + c**2 + 4*c. What is h(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744364478.\nAnswer: 2, 11, 13, 2602673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55034.\nAnswer: 2, 7, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 20. What is k(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -63862, -17 in decreasing order.\nAnswer: 145, -17, -63862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.59 + -4.8. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 9*z - 265. What is i(21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -9. Let j = 8.9 + l. Round j to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703236 is divided by 653?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-180)\/(-6))*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 16*f + 17. Let x be n(-17). Which is the fourth smallest value? (a) -1\/6 (b) -3 (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f. Let x(p) = 4*p**2 - 646316*p. What is x(v(i))?\nAnswer: 196*i**2 + 4524212*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 7. Let l = 29 - 24. Let j(p) = -2*p + 8. Calculate l*j(w) + 6*c(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 501, -2, 5, -3 in ascending order.\nAnswer: -3, -2, 5, 7, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -531.3.\nAnswer: -531.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7172, 7527, 8510, 10433, 13608, 18347?\n\"Answer: 52*h**3 + 2*h**2 - 15*h + 7133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-384)*8*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 60 - 10. Is m\/14 + ((-7533)\/6)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 at most 6054\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15*3)\/(3850\/(-2750)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 - 13 = 0. Suppose 26 + u = 4*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46179114 smaller than -46179111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:33 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 31*j - 3. Let r(y) = 3*y**2 - 63*y + 7. What is 3*r(t) + 7*z(t)?\nAnswer: -5*t**2 + 28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n*n)\/(n\/((n**(-5)\/n)\/n)))**(40\/3) assuming n is positive.\nAnswer: n**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose -s*j - 38 = 26. Let i = j - -22. Solve -2*m - 2*m - 2*p = 0, 0 = 4*m + 5*p - i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*g = m - 15, -4*m = -5*g + 45. Let a(y) = 4*y + 60. Let c be a(m). Solve c*d + 8 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 + 152*h**4 - 723*h**3 - 1840*h**2 + 11252*h - 11760 = 0. What is h?\nAnswer: -4, 2, 5, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184633?\nAnswer: 184633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5274 by -879.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v + 370. Let n be l(21). Suppose 0 = -4*p - n*p + 323. Calculate the remainder when 93 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 48*c + 38. Let x be -16 + 4\/2*-2. Let a be t(x). Calculate the highest common factor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 5*w**2 - 5*w**2 + w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 10*o**2 + 291*o\/2 + 135.\nAnswer: -(o - 30)*(o + 1)*(o + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(198)\/sqrt(6))\/sqrt(11)*1*-4*-1.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w + 2*w - w. Let c(i) = -47*i - 30. Let x(l) = 16*l - 1. Let a(f) = c(f) + 3*x(f). Calculate g(a(m)).\nAnswer: m - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54\/31 + -749\/341. Let p = m + 37\/33. Which is the third smallest value? (a) 2\/13 (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/7))**(-27) assuming h is positive.\nAnswer: h**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -77854?\nAnswer: 77836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 3) + (10 - 6 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1689956 rounded to 3 decimal places?\nAnswer: -2.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15033333.01 rounded to the nearest 100000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**3\/2 + 100*k. Suppose 6 + 0 = -3*r. Let v be r\/2*1*3. Let i(o) = -6*o**3 - 16*o. Give v*i(t) + 16*l(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*((-4)\/(-2))\/(-2) - 0. Suppose -2*u + 0*u = -3*t - 1159, f*u = t + 2930. Round u to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50426145 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 7594.\nAnswer: 60752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28888349*s**2 - 29978536.\nAnswer: 57776698*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-6) + (-43)\/(-6). Let z be -1*o*-8714 + -4 + 6. What is z rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + m + 19 = -1, 3*m + 15 = 0. Suppose z*a - 7 = 18. Solve h + 4*t = -0*t, a*t = -h - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(-47)\/(y**(2\/9)\/y**(2\/3))*((y*y**1)\/y)**(2\/83)*(y\/y**0)**(2\/11) assuming y is positive.\nAnswer: y**(5344\/8217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1562373*s**2 + 3131244*s?\nAnswer: 3124746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11111001001101001?\nAnswer: -11111001001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:21 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73\/105 + -2\/21. Let m = 39.81 + -40. Let g = m - -0.59. Put g, v, 2\/3 in descending order.\nAnswer: 2\/3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 93?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7*w**(-3\/10)*w\/w**(6\/13)*w*w**17*w assuming w is positive.\nAnswer: w**(3411\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488519 times 2.1?\nAnswer: 1025889.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1054654\/5 or -210931?\nAnswer: -210931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 15*i**2 - 2*i - 16. Let v(o) = o**2 + o + 4. Let t be v(-8). Suppose -3*q - q - t = 0. Let c be j(q). Solve 4*n - c = 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - f**2 + 21*f - 51. Let x(g) = -g**3 - 2*g + 2. Determine n(h) + 5*x(h).\nAnswer: -2*h**3 - h**2 + 11*h - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anhahoa. Give prob of picking 2 h and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6867484 + 6867484 + 2*q**2 - 127*q**3 - 9*q to f*q**3 + p + b*q**2 + t*q and give f.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:33 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/7)\/p*p)\/(p\/(p*p\/p**(-1))))**34)**(6\/7) assuming p is positive.\nAnswer: p**(2652\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14db (base 16) to base 2.\nAnswer: 1010011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 6*d**3 - 83*d**2 - 16*d - 359563 wrt d.\nAnswer: 8*d**3 - 18*d**2 - 166*d - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16807, -22, -3.\nAnswer: -16807, -22, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3921079 by -4.\nAnswer: -3921079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 83 = -2*y, 26940*d - 4*y + 64 = 26944*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - g + 1. Let h be i(1). Let d be (-2)\/6*-2*-3. Let s be (-3)\/(-12) + 1\/d. Which is the second smallest value? (a) h (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 8*v = 3*v - 125, 4*v + 11 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2732 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 16*s - 21*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 369\/36 - (-2)\/(-8). Let f be 119\/63 + l + -5 + -7. What is the fourth biggest value in -0.2, -3, -0.8, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 5*s + 4*s + (80*s + 87*s - 181*s)*(5 + 1 - 1) to b + r*s and give r.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and (-3 - -23)*450\/125.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 22*o**4 + 4*o**3 + 11*o**2 + 4*o. Let n(u) = 21*u**4 + 3*u**3 + 11*u**2 + 3*u. Let g(j) = -3*a(j) + 4*n(j). Find the third derivative of g(r) wrt r.\nAnswer: 432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:38 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axmadaadmd. What is prob of sequence xaad?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16 + i - 8*i + 0*i - 11*i. What is the remainder when a(-10) is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2) - -3)\/2. Let w(f) = f**3 - 6*f**2 + 6*f - 2. Let p be w(4). Let u = z - p. Calculate the highest common factor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 529 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = -0*k. Suppose -z = 4*z - k. Let f = 9 + -9. Sort f, -5, z.\nAnswer: -5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j**2 + 3*j**2 + 4*j**2 - 50 + 94*j**2 - 41*j**2 + 50.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, o: 3, v: 1, h: 7}. Give prob of sequence uv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -5, 45, 95, 145?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 8*x**2 - 7*x + 2. Let v be z(-7). Let s(j) = -4 + 2 - v*j - 2. What is the units digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35151475301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2c16 + 125?\nAnswer: c303b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {j: 4, y: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 99. Let k(a) = 2*a + p*a**2 + 33*a**2 - 4*a + 2. What is the units digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/4 - 270024*k**2 - 291650762205*k\/4 + 291652922401\/2 = 0.\nAnswer: -540049, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)\/(2\/4). Let c be -306 - ((-3 - -2) + 3). What is the units digit of (-6)\/g*c\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2601, -19994, -48983, -89568, -141749?\n\"Answer: -5798*h**2 + h + 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 611674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u + 73. Let j(s) = 23*s + 108. Determine 7*h(o) - 5*j(o).\nAnswer: -10*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61580.27 centuries in decades?\nAnswer: 615802.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 295026925 a multiple of 2215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150114530 (base 6) to base 9.\nAnswer: 5727810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 314. Solve -5*q + 14 = 2*i, 0 = -3*i - x*i - q - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4333230076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-84)\/(-14)))\/(2\/22*25\/75).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/20 + 5*g**4\/12 + g**3\/3 - 5*g**2\/2 + 2*g. Calculate the remainder when a(-4) is divided by 3*((-1)\/(-2) - 21\/(-126)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u - 6*u + 2*u)*(-1 + 9 - 34)*(-1 + 1 - 1) in the form d*u + l and give d.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2447 + 2482. Calculate the lowest common multiple of 1075 and r.\nAnswer: 7525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-228)*(-32)\/(-140)*1\/(-1).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -403, -2\/9, 34, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -666, -1065, -1696, -2601, -3822, -5401, -7380?\nAnswer: -9801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -4*g + 2*g - 31*z, -8*z - 17 = -32*g + 36*g - 11*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 20 - 22 = 0. What is the lowest common multiple of d and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -11*m. Find the second derivative of -5*r**4 + 4*r + m*r**4 - 10*r wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecczzcczycccyzyz. Give prob of sequence ceez.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 98*f - 52. Let w be z(19). Solve -w*t + 14 = -i - 15, -4*t + 4 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/10))\/(w\/(w\/w**(-2\/5)))*w**0\/(w\/(w*w*w**3*w*w)))**2)**(-1\/4) assuming w is positive.\nAnswer: w**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1209 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -24, -78, -166, -288, -444?\n\"Answer: -17*m**2 + 31*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -526 - -533. Solve -4*c = a + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-632882.\nAnswer: 63288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 - 5*m**2 - 13*m**2 - 7*m**3 + m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -55*h + 2914. Let j be q(53). Suppose 108 = 5*z + 5*i + 18, -5*z + 78 = i. Put 5, j, z in increasing order.\nAnswer: j, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 58 = a, 5*y - 4*a - 52 = -3*a. Suppose 8*l - y*l = -6. Solve -x - l = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1987 or 1989?\nAnswer: 1987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from lleyyllyyyelllyeyyy.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 17 = -3*p + 4*d, -3*d + 5 = -p - 6*d for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28656 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55202135.\nAnswer: 5, 373, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*z - 289 = 4*z, 20 = 5*z. Suppose -2*o + 45 = w, 30 + m = 3*w + 4*o. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + c**2 - c**2 + (-c + 0*c - c)*(89*c**3 - 13*c**3 - 11*c**3) to the form r*c**2 + v + l*c + y*c**4 + s*c**3 and give y.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2206 = 3*n + 421. Suppose -2*k + 3*a + n = 6*a, 4*a = 3*k - 867. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 6, -2.\nAnswer: -299, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031811258 to six dps.\nAnswer: 0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + g**4 + 0*g**2 + (0 + 2 - 4)*(g**4 + 3*g**4 - 2*g**4) + (2*g**2 - 28*g**2 + 0*g**2)*(g**2 + 4*g**2 - 6*g**2).\nAnswer: 23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 436 = -2*s, -265 = 3*s - x - 921. Solve 222*r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133 from -446175095.\nAnswer: -446175228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*v - 1010 = -3*v - 266*v - 15*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -20 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1884*i - 216. Is 151 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 10, -3*y + 22 = -4*n - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26504.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.38619285 - -3.386194. Let o = -2 - u. What is o rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -183190.\nAnswer: 36638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 x when four letters picked without replacement from {x: 3, u: 1, s: 3, g: 8, a: 2, o: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711063 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0565 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6674168 to two decimal places.\nAnswer: -6.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + 6*sqrt(6)\/sqrt(3) - (sqrt(2) + 1 + 5 - sqrt(24)\/(sqrt(24)\/sqrt(2))))**2*-5.\nAnswer: -963 + 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 18 = -3*q, 0 = 4*y + 4*q + 8. Let m(k) = -k + 3. Let i be m(y). Suppose -s + 2 + i = 0. Solve -s*j = -2*u + 3 + 1, -5*u + 4 = -3*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -175.7104 and -235254961.\nAnswer: -235255136.7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -10 + (-4 - -14) + 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4958 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/3*(-8)\/(-10). Suppose 4*q - 24 = -4. Let b(f) = -4*f**2 + 0*f - q + 3*f + 3*f**2 + 3*f. Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 33*p**3 - 221*p**2 + 543*p - 450.\nAnswer: -(p - 25)*(p - 3)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:11 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(228) - (sqrt(228)*3*3 + sqrt(228)))\/(sqrt(300) - 2*sqrt(300)) + (1*(sqrt(152)*-1 - sqrt(152)))\/(2*-1*sqrt(8)))**2.\nAnswer: 28*sqrt(19) + 4349\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 k when four letters picked without replacement from kkpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042138.\nAnswer: 2, 41, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 34 + 3. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 411437.3400078 + -411413.34. Let m = -24.007 - -0.007. Let d = k + m. Round d to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*h**4 - 5*h**3 - 122*h**4 - h**3 - 2*h**3 + 6751*h**2 + 111*h**4 wrt h.\nAnswer: -1416*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/2 + 408*v**2 - 10983*v\/2 + 18963 = 0.\nAnswer: 7, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 477854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 2*d**2 + d**2 + (-3*d - 2*d + 4*d)*(-2*d - 3*d + 7*d) + 10*d**2 + 4*d**2 - 20*d**2)*(-4 + 1 - 2 - d).\nAnswer: 5*d**3 + 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from dbbkhbbbhrrrbh?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 141100 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 338573017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -24*o**3 - o**2 - 18*o - 15. Calculate p(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1020102102200202?\nAnswer: -1020102102200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.6413 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 3*t**2 + 4\/3*t**3 - 13*t + 0. What is the remainder when 123 is divided by n(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -64*d**3 + 2*d**2 + 2*d + 1. Let u be a(-1). Suppose -5*k + 32*y - 28*y + 150 = 0, -3*k = 2*y - 68. What is the greatest common divisor of k and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4672.3 + -4672. Sort -2, u, -7, -4 in decreasing order.\nAnswer: u, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11329, -47846, -108715, -193942, -303533?\nAnswer: -437494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135725*k - 135537*k + 1880 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 32 = 52*f + 50 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-32 - 2 - 5). Suppose -f = -28*p + 26*p. What is the remainder when 76 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 8 + n**2 + 3*n**2 as h*n + y*n**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:22 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 8*h**2 + 227*h + 467. What is x(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 8105*h**2 + 3296675*h - 9817215.\nAnswer: 5*(h - 809)**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*r + 1 + 372*r - 1 - 201*r - 127*r.\nAnswer: -234*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*b**3*d**2 + 728*b**2 - 2*b*d**2 wrt b?\nAnswer: 1776*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**5\/13 + 538*t**4\/13 + 1466*t**3\/13 + 422*t**2\/13 - 492*t\/13 = 0.\nAnswer: -2, -1, 0, 3\/7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -0.38. Suppose 0 = -3*u + 5*v + 15 + 17, -v = u. Which is the biggest value? (a) w (b) -2 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -2\/7 (c) -4 (d) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/138528 and -113\/133848.\nAnswer: 19809504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/26 + (-2)\/(-13). Let q(n) = 2*n + 1. Calculate the remainder when 8 is divided by q(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/15 (b) 3\/5 (c) -22 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + ((-124806)\/(-154))\/(-31).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b + 1. Let n(o) = 83*o - 15. Let v(g) = -n(g) - 6*w(g). Let c = 23 + -41. Let d = c + 12. Give v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2507*k**3*m**4 - 23*k**3*m + 53*k**3 + 646 with respect to m.\nAnswer: -10028*k**3*m**3 - 23*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1160116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336\/5 + 67. What is the nearest to 5 in -2\/11, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675414 and 80070?\nAnswer: 57410190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 85, 695 in decreasing order.\nAnswer: 695, 85, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -301705920 divided by 360\nAnswer: -838072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25871666 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -59. Let i be -4*(v\/12 - (0 - 1)). Suppose 4*l = i*x - 478, -3*x - 309 = -6*x - 5*l. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 2\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2782 * -7\nAnswer: 19474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 204912, 203145, 201378?\n\"Answer: -1767*g + 206679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130\/9 in -3, -1, 2\/127, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 5:25 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -37)\/((-2)\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51013143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let y(l) be the third derivative of 0*l + 0 + 3*l**2 - 1\/8*l**4 + 0*l**3. Give v(y(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141a (base 13) to base 16.\nAnswer: b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -687. Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15156322*y**3 - 12*y**2 + y - 211707266?\nAnswer: -90937932*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -79.6294657.\nAnswer: -78.6294657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-288)\/(-11) + 4\/(-22). Let m = 31 - f. Suppose -2*p - m*g + 174 = 0, 0 = -g - 2 - 2. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 11*o**2 - 4*o - 9. Suppose q + 0*u - 2*u = -16, q - 3*u = -21. Let b(y) = y**3 - 6*y**2 + 2*y + 5. What is q*m(f) - 11*b(f)?\nAnswer: f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-782)\/136)\/(((-102)\/(-48))\/(-17))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660838 and 1066?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27. Suppose v = p - 7*p + 780. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1 - (44 - (14 - -35))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14564\/3 + -4856. Let l = 0.2 - 0. Which is the fourth biggest value? (a) q (b) 4 (c) l (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 7)\/(-2*(-1)\/(-206)). Suppose 3*x - 23 = -h + s, -2*h = 3*x - 264. Let d = 146 + h. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from mttttttttmtmtvt.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*n**2 + 293*n**2 + 129*n**2 + 3*n - 3*n.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 733 = -f - 131, -f = 5*m + 998. Let a = m + 191. Let l(q) = q**2 + 10*q - 5. What is l(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(5 + 0 - 3) - 330*u - 48193 + 24100 + 24099.\nAnswer: -326*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128724 and 8364.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101843 - 56664. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.03 - -6. Let j = 0.89 + -0.56. Let t = a + j. Round t to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 67 = -5*f + 3*f - 2*d, 4*f - 362*d = -345*d + 68 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 - 7*d + 3. Let u(w) = -6*w**2 + 7*w - 4. Let q(v) = 4*f(v) + 3*u(v). What is the second derivative of q(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 64 = -4*m, 4*m + 3084 = 5*u + 3113 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r - 2 = -f + 107*r, 4*r = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 6*d**2 + 0*d**2)*((-5 + 5 + 2)*(2 + 3 - 3) + 2 + 1 - 2 + 1 - 1 + 1)*(3*d + d - 2*d).\nAnswer: -84*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46021.185*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spst when four letters picked without replacement from pvostopsso?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 9*c**2 - 3*c + 2. Calculate d(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.444 rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 30 = q - 3*h, 0 = h + 4. Calculate the least common multiple of (-1)\/(2\/18*3) - -36 and q.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 763999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2661580.40000035 + -2661582.9. Let w = t + 2.5. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*j**4 + 6034*j**2*q + 77*j*q - 2*j + 9*q + 32 wrt j?\nAnswer: -408*j**2 + 12068*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-3 + 2)) + -85 + (18 - -6 - 9).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -40. Suppose -44 = -3*f - u. Calculate the remainder when f is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 1\/2, 0.3, 0.32624?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6977*t**5 - 347*t**2 - 10839351*t wrt t?\nAnswer: -139540*t**3 - 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4967 and 603.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5443235, -5443080, -5442821, -5442458, -5441991, -5441420?\n\"Answer: 52*r**2 - r - 5443286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 3)*1*-1. Let g(c) = 2*c + 1. Let p be g(7). Suppose -3*n - p = -a*n. Solve -5*h - n*d = 30, d - 19 = 2*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x - 125 = 0. Let k = x + -24. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*(46 + -11 - 25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -38*h**2 - 14. Let j(c) = 8*c**2 + 3. Let u(b) = -14*j(b) - 3*v(b). Let t(r) = 15*r + 1 - 18 + 13 + 4. What is u(t(d))?\nAnswer: 450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/5 + (-2 - -3). Let h(w) = -w - 1. Let r be h(-2). Let g = -2 + r. Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -27*t**5 - 58*t**4 - 8*t**3 - 11*t**2 - 22*t - 33. Let i(l) = l**5 + 2*l**4 - l**2 - 2*l - 3. Let o(k) = -2*f(k) + 22*i(k). Let o(u) = 0. What is u?\nAnswer: -2, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b - 144628 = -46*b. Find the common denominator of (b\/342)\/(40\/6) and 91\/255.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -53.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/323 and -24\/67?\nAnswer: 21641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/36*r**4 + 0 - 1\/54*r**5 + 0*r + 1\/3*r**3 + 1\/540*r**6 - 200*r**2. Factor p(d).\nAnswer: 2*(d - 3)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - c = -5*c - 177, -5*g + 281 = -2*c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 2092*g**3 + 3*g - 2096*g**3 + 4189*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 13*j**2 + 13*j + 12. Let v be i(-12). Suppose 4*p - 5*y - 16 = v, p + 3*y = -4 + 8. Which is the smallest value? (a) 1 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1226 - 1227. Let u(v) be the second derivative of 3*v**5\/10 - v**4\/6 - v**3\/3 - v**2\/2 - v. Determine u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 49*s**2 - 76*s - 1353. What is n(-48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24220979 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77)\/210*(-84)\/231. Factor 2\/15*s - t*s**2 + 4\/15.\nAnswer: -2*(s - 2)*(s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 2\/19, -375?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -11, 27.\nAnswer: -11, -4, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**31*l*(l\/l**9*l*l)\/l)\/((l\/(l*(l**(-1\/22)*l)\/l))\/(l\/(((l**(3\/19)\/l)\/l)\/l))))**(-6) assuming l is positive.\nAnswer: l**(-36111\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t + 3 = 3*g, -5*g + 11 = -2*t. Let j be 7 + -11 - 8\/t. Is j smaller than -25\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0572121g to milligrams.\nAnswer: 57.2121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188598 is divided by 94282.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 536, 805, 1074, 1343, 1612?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32133 (base 4) to base 9.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 57*m**2 + 4*m + 1. Let h be d(3). Let l = 512 - h. Which is smaller: -10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003575771 rounded to 5 decimal places?\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 2, u: 2, f: 5, v: 6}. Give prob of picking 2 v, 1 c, and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 20. Suppose s*r + 10 = -26. Let a = r + 58. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*b + 280 = 4*j, -292 = j - 2*b. Let i(w) = -w**2 + 23*w - 45. Calculate the remainder when 4\/10 + j\/(-10) is divided by i(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629 = 444*p - 1626 + 35. Let g = 7 - -2. Solve 0 = 2*u - 0*u - 3*f - g, -5*f - 40 = p*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*t - 2*y - 2962, 4*t = 2*y + 3946. Is (-3)\/((-36)\/t)*(0 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 93*f - 512. What is s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968289 and 204197.\nAnswer: 6587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833))**2 + (2*sqrt(68))**2.\nAnswer: -28*sqrt(17) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 38. Let j be i(-3). Suppose 0 = -41*p + j*p - 15. Solve -5*s + 3*x = -3, 0 = p*s - 2*x - 3*x - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.7 + -17.53. Let n = 25 - 10. Let g = r - n. What is g rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 24. Let c(a) = -9*a + 4. Calculate c(f(g)).\nAnswer: 9*g - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (0 - -10 - 4). Let u(o) = 2*o**3 + 9*o**2 - 6*o + 3. Let c be u(y). Suppose -c + 0 = -4*t. Solve t = 3*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/4 - 39*y**3\/4 - 9*y**2.\nAnswer: -3*y**2*(y + 1)*(y + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 172.94. Let r(c) = c**3 - 6*c**2 - 8*c + 7. Let m be r(7). Suppose -s - 4*s - 5 = m. What is the third smallest value in x, s, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -2*g. Suppose 0 = -5*x + 3*v - 26, 6*x + 8 = 3*x - g*v. Let c be (-2)\/(-40) - (-1)\/(-4). What is the smallest value in x, 0, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Let i(y) = 8 - 2*y - w - y**2 - 4*y. Let p = -2 + -4. Give i(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5355 and 7875?\nAnswer: 133875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 855.96 litres?\nAnswer: 855960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-150)\/(-8))\/((-4)\/(-16)). Let d = a + 23. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 3*u + 1. Let y be r(3). Suppose -4*h + 28 = -5*f, -4*f + h - y = f. Let k = 6 + f. Sort 5, k, -1 in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191797 = 191797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 8*l - 10. Suppose 0 = -5*i - l*n + 10, -3*n + 2*n = 4*i - 11. Solve -5*a - 30 = 5*k, i*a + 9 = -4*k + 4*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35926482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668770?\nAnswer: 2, 5, 66877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*272\/(-170).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, z: 4, a: 3, x: 1, y: 1, w: 2}. What is prob of sequence waw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 - 2*a**2 - 47*a + 140. Calculate the remainder when d(3) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2639*x. Let v(i) = 5*i + 4. Determine c(v(b)).\nAnswer: 25*b**2 - 13155*b - 10540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**2 + 9*z - 3. Let p(v) = -16*v**2 - 13*v + 4. Let s(g) = -7*j(g) - 5*p(g). Does 4 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*n = 120. Let b be (-6)\/(1 - -1) + n + -18. Let i be ((-7)\/2)\/(3\/b). Solve 4*v = 1 + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Let p = 0 - h. Let l = p + 5. Which is the third smallest value? (a) -2\/11 (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 57*a**2 + 576 - 2*a**3 - 3*a**3.\nAnswer: -8*a**3 + 57*a**2 + 576","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1*(2 - 1)). Let b(r) = -5599999*r + 1. Let g be b(k). Suppose 2*i - 3*i - g = 0. What is i rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45650*p**2 - 503*p - 18?\nAnswer: -91300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -74976.7637 to the nearest 10.\nAnswer: -74980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -5055313 and -5055303 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1494 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*b*d**3*g**2 + b*d**3*g + 3*b*d**2*g**2 - 3*b*d*g**2*x + b*d*g*x - d**3*g*x - 2*d*g**2*x wrt d?\nAnswer: 240*b*g**2 + 6*b*g - 6*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -1, 11\/19, -89\/3, 1?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25557, -100780, -225663, -400206?\n\"Answer: -24830*b**2 - 733*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**3 + 3*u**2 + 18. Let k(d) = 52*d**3 + 7*d**2 + 37. What is -4*k(n) + 9*p(n)?\nAnswer: 17*n**3 - n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31920741.\nAnswer: 3, 19, 186671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 3789 in decreasing order.\nAnswer: 3789, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - n)*(4 + 10*n - 2 - 1).\nAnswer: -20*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 63. Let f be -20*(d\/(-12))\/7. Let p = f - 7. Calculate the least common multiple of p and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3.6, -0.2205, -1\/3?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(1\/4). Suppose -4*v = -g*v - 8. Find the common denominator of 1\/(-4) + 4*v and -52\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1 - 43*k + 3 + 42*k. Give b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*a = -331*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19.1 in 1\/2, -0.12, -149, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(10)\/sqrt(5) - ((-1 + sqrt(2))**2*-3 + sqrt(2)).\nAnswer: -6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:19 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, 36, 99, 168, 237, 300, 351?\n\"Answer: -t**3 + 12*t**2 + 22*t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7269, -6461, -4267, 9, 7063?\nAnswer: 17591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18211 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-3 + sqrt(252))) + 0.\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41490, -41479, -41500, -41559, -41662, -41815?\n\"Answer: -i**3 - 10*i**2 + 48*i - 41527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 548 and 367023?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132\/7 + -1438\/77. What is the closest to z in -3\/7, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, i: 2, h: 13, l: 2}. What is prob of picking 1 l, 1 g, and 1 h?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 10:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000343104107 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(136\/24) - -8) + 1344\/(-105).\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/23 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - t**2 - 2 + 5*t - t - 3 to g*t**2 + j + r*t and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 + 26705*n + 16427250 = 0.\nAnswer: -26075, -630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let a = 20 - 19. Let h be w(a). Suppose -4*k + h = -3*k. Solve -5*f + 3*t + 0*t = -k, 4*f + 2*t + 16 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 - -599. Let h = p - 282.5. Which is the closest to -3\/7? (a) h (b) -1\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364095648 divided by 2528442\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 1. Let z(q) = -q. Let m(u) = h(u) + 4*z(u). Determine m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/3 - 1) + 4. What is the second smallest value in 3, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 276658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4806 is divided by 6604\/36 + (-56)\/(-36).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 2, n: 1, o: 3, d: 12}. What is prob of picking 1 d and 3 o?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 172.000302. What is l rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8155600, 8155604, 8155618, 8155648, 8155700?\n\"Answer: m**3 - m**2 + 8155600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*h**4 - 265*h wrt h.\nAnswer: 1224*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189ca9 (base 14) to base 16.\nAnswer: -d4f9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2. Let r(u) be the second derivative of u**5\/60 + 4*u**3\/3 - 13*u. Let f(q) be the second derivative of r(q). Calculate f(p(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 1235?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1577493\nAnswer: 315498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*y - 81*y - 121 + 1397 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p = 79*p - 12. Let a be 30\/45 - (-73)\/p. Solve -a*m + 20*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46100 and 7376.\nAnswer: 184400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/675)\/((-3)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 209 + 130 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 13 + 0 - 12 + 0. Let o(f) = 2*f**3 + f**2 - 2*f + 1. Let g be o(1). Let z be 18\/(-14) + g\/7. Determine l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -1.1. What is the third smallest value in -0.17, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 - 3, 5*o + 2*a - 142 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (11 + -14 - (-4 - 6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 205*k**2 - 621*k + 684. Calculate o(-208).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 488, -23, -1426, -4015?\nAnswer: -8084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-266)\/(-63) - 4\/18. Let s be -4*(2 + (-13)\/k). Suppose -18 = -s*f - 3. Solve -f*o = o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-72))\/(9\/(-36)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179851, 359707, 539563?\nAnswer: 719419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 19*a + 98. Let c be f(-5). Solve -c*q - 2*q - 5 = 5*y, 3*y = -2*q - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (14 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 87 = 5*s. Let q(x) = 37*x + 29. Let h be q(0). Calculate the greatest common factor of h and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2\/2 - 31. Let o(j) be the third derivative of -5*j**4\/4 + 19*j**2. Give h(o(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.534010626 and -2.\nAnswer: -2.534010626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2192 - 21*c**2 - 2192.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -2*c + b, -4*c + 4*b - 198 = 186. Let w = 6 + -15. Is (c\/w)\/((-2)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8243591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 150*s**3 + 4*s**2 - 2*s + 4. Let i be d(2). Suppose 0 = -2*y + i - 134. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 3*b**2 - 3*b. Let x(k) = 4*k**2 + 3*k + 2. What is the lowest common multiple of y(-2) and x(-2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2371, 8869, 19675, 34771, 54139, 77761, 105619, 137695?\nAnswer: 173971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(6*(-1*sqrt(98)*4)**2 - (2 + (3 + sqrt(98) + sqrt(98) + -1 + sqrt(98) + sqrt(98))**2 + sqrt(98))).\nAnswer: -2380*sqrt(2) + 156680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 37 - 1 = 0. Suppose 18*w - 24 = l*w. Solve -w*a = -3*b - 3, 3*b + 10 = 7*b + 2*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(1 - 3)\/2. Suppose w + 3 = p + p, 2*w = -2*p + 6. Let m = -3.4 + 3.9. Sort -2\/13, p, v, m.\nAnswer: -2\/13, m, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/26, -3\/7, -191, -0.09?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 62 = -5*q, -q + 24 = 5*k + 2. Solve -4*u = -0*u + q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 2 = 6*v. Let g(f) = -f + 10. Let h be g(14). Let x = -2 - h. Solve -v*d = -x*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 3*i**2 + 5*i - 3. Let k = 2 - -1. What is the tens digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17)\/102*4467*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*k + 432, 0 = 3*t - 4*k - 22 - 296. What is the highest common divisor of 57 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 54 (c) -1 (d) 8\/3 (e) 3\/2 (f) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -805762 and -805759 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -596502*a**3 + 460617 wrt a.\nAnswer: -1789506*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 0.031, 0.5, -3, 14, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1951, 0, -1, 5 in descending order.\nAnswer: 1951, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g + 1180 = -2*g + 46*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 88 = -3*w. Suppose -4*x + 72 = w*p, -43 = -x + 3*p + p. Calculate the greatest common factor of x and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*g - 10 = 21, g = -p - 14. Let k = p - -20. Suppose k*b - 11*b = -30. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1682\/(3\/126*7). Suppose 11223 = 35*t - n. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148862 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-3\/37)\/((n*n\/(n*n**(1\/5)\/n*n))\/(n\/(n\/(n\/((n\/n**(4\/3))\/n))*n))) assuming n is positive.\nAnswer: n**(637\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6494 - -0.1494. What is the closest to -5 in 2\/63, m, 4, 6\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218425*j + 224 - 229 + 218424*j.\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 23 = 2*f + 63, -5*v = 4*f + 216. Let k be 10\/(-15) - v\/3. Suppose 3*o + 2 - k = 0. Solve o*p - 32 = -12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917, -919, -921, -923, -925?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11778, 70, -6 in ascending order.\nAnswer: -11778, -6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/24 - 3*y**2. Let a(f) = -4*f**2 + 3*f**2 - 4 + 4. Calculate a(s(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18654667.\nAnswer: 89, 239, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**5 + h**4 + h. Let i(g) = 7*g**5 + 11*g**4 - 4*g**3 - 8*g**2 + 3*g. Let p(t) = i(t) - 3*k(t). Let p(o) = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307*d**2 - 304*d**2 - 70*d**2 + 113*d**2)*(0*d**3 - d**3 - 2*d**3).\nAnswer: 1704*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28386 + -28385.9. Which is the nearest to 0? (a) -0.2 (b) l (c) -0.03 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 16850*a - 15569*a)*(-5 - 1 + 4) as d + r*a and give r.\nAnswer: -2562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*h + 19 + 223*h - 20.\nAnswer: 459*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.2 and 0.2527.\nAnswer: 12.18014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/4560 and 101\/37620?\nAnswer: 150480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112593049, 225186095, 337779139, 450372181?\n\"Answer: -c**2 + 112593049*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4*b**6\/5 + 16*b**2 - 21*b - 4. Let x(v) be the first derivative of n(v). Find the first derivative of x(h) wrt h.\nAnswer: 96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - j - 1. Let n be s(2). Suppose 0 = -f + 6*m - m - 7, -n*f - 4*m - 35 = 0. What is the common denominator of (-3)\/(f*(-3)\/33) and 26\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (4 + 2 - 3). Suppose -1 = u + 2*x + 5, -n*u = -x - 3. Suppose 4*k - 9*k + 2765 = u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) 15361 (c) -0.2 (d) 0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 238 - -8?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 3*r + 6052 - 6052 + 3*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -632.7 + 633. What is the nearest to a in -0.1, 0.06, -0.2, 3\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(79*k**2 + 8293 + 34*k**2 - 8296 + 17*k - 2*k**3) in the form j*k**3 + z*k**2 + u*k + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2110771618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 867388488.\nAnswer: 6071719416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 237*x**2 - 108*x + 9828.\nAnswer: -3*(x - 6)*(x + 7)*(x + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 - 192. Suppose 214 = -2*a - 3*d, -2*a - d - 227 = -13. Let x = a - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by -7.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 - 2*p**4 - 2*p**4 + 0*p**4 - 2*p**4 - p**4 + (-p**2 + 0*p**2 + 2*p**2)*(4*p**2 - 2*p**2 - 3*p**2).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 + 32*d + 12. Let a be i(4). Let u(h) = 4*h**3 - 110*h**2 - 14*h - 8. What are the prime factors of u(a)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 22362445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 958 + -955. Let v(r) = 13*r**2 - 15*r + 3. Let d(g) = 7*g**2 - 8*g + 2. Let q(n) = -11*d(n) + 6*v(n). Determine q(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 + -243. Suppose p = 2*i + 2*i - 2*b - 2252, 1118 = 2*i + 3*b. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 1*(sqrt(3328) + (sqrt(3328) - sqrt(3328)*2*1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 4*p)*(-2 + 1 + 0)*(-2*p**2 + 3*p**2 - 3*p**2).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 2*g - 157, 11*g = 12*g + 2*u + 8 + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210286367?\nAnswer: 3181, 66107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sns when three letters picked without replacement from {n: 1, s: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r\/((r*r\/(r*((r**(-3)*r)\/r*r)\/r*r))\/r)))\/r))\/r)\/(r**6\/r)*((r**5*r)\/r)\/r*r**(-5)*r assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -10. Let o = 32 - u. Let j = 42.000102 - o. What is j rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*b = 459*b - 220 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1979, -2\/3, 63 in descending order.\nAnswer: 63, -2\/3, -1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)\/(-19 - -24)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074003437 rounded to six dps?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 924020290*a - 42690674816584205.\nAnswer: -5*(a + 92402029)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**8\/56 - 17*b**7\/42 - 10*b**4 + 24*b. What is the third derivative of n(h) wrt h?\nAnswer: 120*h**3 - 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 2271*f + 285126. Let q(n) = -20*n**2 + 11346*n - 1425632. Let l(h) = 74*j(h) + 15*q(h). Factor l(a).\nAnswer: -4*(a - 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 21*x - 32 + 17*x + 6*x to the form i*x + s and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 + 5 + -10 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o)\/o**(3\/5)*(o\/o**(-2))**(-30) assuming o is positive.\nAnswer: o**(-463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, -3, 15, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 10*o + 20. Determine h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 366\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/1 - (-3 - -2). Does 6 divide (-132)\/d + (-2)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 - 162*k + 1193. Determine f(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 2*u**4 - 3*u**4)*(4 - 3 - 3)*(5 + 31 - 15).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-52) + (-58)\/116)*-2. What is the second biggest value in 8, -6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(12)\/(sqrt(10)\/sqrt(5)))\/(sqrt(3) - sqrt(12)\/sqrt(4)*-4).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -88*q**3 + q**2 - 12*q + 11. Determine u(1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2384, -4725, -7066, -9407, -11748, -14089?\nAnswer: -16430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3615217 kilometers to centimeters.\nAnswer: 36152.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/7 + 129789*y\/7 - 259566\/7 = 0?\nAnswer: 2, 43261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cblh when four letters picked without replacement from bhhlc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*k = 372, 3*k - 2*k = -z - 91. Let w = z + 97. Which is the third smallest value? (a) 1\/8 (b) 9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5957 + 41981.\nAnswer: 47938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/1192 (c) 5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2, q: 2, w: 1, c: 4}. What is prob of picking 1 c and 1 e?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 58*v - 3. Let a(s) = -7*s. Determine 6*a(o) - f(o).\nAnswer: 2*o**2 + 16*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.2791 micrometers in centimeters?\nAnswer: 0.02602791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 6581 + 6887 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5*f)*(4 - 2 - 3).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 4, l: 1, x: 3}. Give prob of picking 2 w and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2, -288, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-105) - (-5 + (-11)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) -2\/3 (c) 15 (d) 1 (e) -3\/70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*k - 97 = -k, k + 79 = 3*g. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 14, -5\/3, -4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 divided by 1?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/87548 and -87\/10180?\nAnswer: 437740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -83*u - 1376 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 11*b**2 + 6*b + 4. Let v be (-10)\/65 - (-290)\/26. Calculate the least common multiple of 8 and g(v).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/146892750 and -7\/2750.\nAnswer: 1615820250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3846 and 17307.\nAnswer: 34614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**2\/2 - 11*k + 9. Give s(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 91452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + -0.8. Let s = x - 2. Let h = -3 - s. Is h greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 0.3 (b) -3\/7 (c) 146 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-4)\/(-36)*3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22396203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 + a**3\/2 + a**2 + 21*a. Let n be 1\/(-1 + 2\/4). What is t(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:27 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5808680 and 12920.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + 11*k + 6. Let r(p) = -p**2 - p - 1. Let f(z) = q(z) + 6*r(z). Suppose -t - 3 = -2*t. Calculate f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -42. Let f(r) = -r - 6. Let h be f(-6). Suppose -5*q + q + 48 = h. Solve -4*j + q = m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 7*q - 6. Let h(y) = y - 43. Let k be h(13). Calculate the smallest common multiple of 12\/(-10)*k\/12 and l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + -5.9. Let w = -9 - y. Which is the second smallest value? (a) 4 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51477.06 litres to millilitres.\nAnswer: 51477060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/8 - 185\/(-296). Let i be 2\/10 - 5\/25. Suppose -5*d - 20 = i, v - 4*v = 2*d - 1. What is the closest to 1 in v, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1471840 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404821463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-23)\/3*1. Suppose 0 = 2*z - 29 - a. Let q(u) = -u**2 + 4*u + 9. What is the remainder when z is divided by q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3 - 2 + 2*f - 5*f - 1. Let c(x) be the first derivative of x**2\/2 + 2*x - 1. Calculate 7*c(n) + 2*o(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 = -28. Let i = -35 - u. Solve i + 5 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 61\/96*x**4 + 1\/16*x**2 + 14*x - 7\/24*x**3 + 3\/20*x**6 + 0 - 21\/40*x**5. Solve h(l) = 0 for l.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260905180 to the nearest one hundred thousand.\nAnswer: 260900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 203520.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 323645?\nAnswer: 2912805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*w + 90, 0 = -4*w - 2*s + 880 - 820. Let l(y) = 47*y**2 - 1. What is the remainder when l(-1) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2 + (-4 + 6 + 0)*(0 - 1 + 0) + 0 + 2 - 4)*(2*a + 4*a**3 - 2*a).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - i - 16. Let z be r(4). Let a be ((-6)\/4)\/((-14)\/z)*-1. Let j(v) = -v**3 - 3*v**2 - 4*v - 1. What is j(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 17*f + 279. Give b(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14617407 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.003 + 0.022. Let o = 744.619 - 745. Let g = n - o. Which is the fourth biggest value? (a) g (b) 2 (c) -1\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 27606.\nAnswer: -3, -1, 27606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 - 5*k + 17. Let j(o) = 7*o**2 + 4*o - 29. Let u(b) = -2*j(b) - 3*r(b). Give u(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2989*z + 574*z + 576*z + 700*z + 570*z + 568*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let v(s) = 2*s**2 + 2. Let z(g) = -2*b(g) - v(g). Let c(j) be the third derivative of -2*j**2 + 0*j**3 + 0*j - 1\/24*j**4 + 0. Give z(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 6*j - 6. Let y be d(-3). Suppose 0 = y*c + 10 - 13. Suppose -1 = -v + c. What is the greatest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3 + 7051690*b - 7051689*b - 11*b**2 as o*b**2 + q*b + g and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h**2 + 323*h + 44. Give s(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 3*y + 3*y + (-17 - 1 + 6)*(15*y - 3*y + 18*y).\nAnswer: -361*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/(-27) + 3 + 404\/(-36). Let k(c) = -c**3 - 11*c**2 - 10*c - 4. Let r be k(h). Let s = 178 - r. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = h, 4*r - 5*r + 3*h = -10. Let o = r + -17. Let w be (o\/(-1) + -4)\/((-6)\/(-4)). Solve -w = -m - 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-21))*q*q**(-7)*q*(q\/(q*q**(5\/9))*q)\/q**(21\/5) assuming q is positive.\nAnswer: q**(-1339\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*d**5 - 100*d**4 + 15*d**3 + 330*d**2 - 380*d + 120 = 0. What is d?\nAnswer: -2, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 2*m. Suppose -p + 4*k + 11 = -0*k, -4*p - 4*k = -4. Suppose p*o + 11 = -2*a, a + 2*o - 4*o - 12 = 0. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 59. Let j(p) = -3*p + 29. Let h(b) = -4*d(b) - 9*j(b). Let z(f) = -f + 24. Let r be z(6). Is h(r) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 + -81. Let w = b + -16. Let l = w - 16. Put -3, -0.4, l in ascending order.\nAnswer: -3, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10001110111000011111010?\nAnswer: 10001110111000011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5816 at most 1622882\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.08462 millennia in centuries?\nAnswer: 240.8462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39362198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 130\/(-4)*(-136)\/170. Suppose z = -n + 26. Let f(s) be the third derivative of s**6\/120 + s**5\/60 + s**3\/2 + s**2. Determine f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 8*f + 3. Let x be d(-4). List the prime factors of 5\/(10\/(-4)) - x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99992066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 41. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -353 - -7?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142, 591, 1324, 2341?\n\"Answer: 142*i**2 + 23*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4\/25 (c) 1070 (d) -9 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 5}. What is prob of sequence yyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.88268, 5, 3 in decreasing order.\nAnswer: 5, 3, -12.88268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 10) to base 16.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -25. Let w(q) = 20*q - 3. What are the prime factors of w(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*p + 470 = 255*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104060*d - 5552*d + 98926*d - 1044*d.\nAnswer: 196390*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p**2 + 484*p - 1737. Calculate a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 11\/2*w**2 + 1\/12*w**4 + 3\/2*w**3 + 0 + 2*w. Let u be p(-7). Sort 2, 1, u.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiib. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:49 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91428 and 8436?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27959 + 132045*v**2 + 27959.\nAnswer: 132045*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -94*c**2 + 48*c - 12. Let k(u) = -87*u**2 + 44*u - 11. Let p(r) = 12*k(r) - 11*w(r). Let d(b) = -4 + 4 - b. Determine d(p(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 2.2. Put q, 1, -1\/4 in descending order.\nAnswer: 1, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 9, -4*a = 5*w - 16. Suppose 0 = -0*n - n - 4. Is n < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 104 = -k. Let b(y) = 4*y - 1. Let u be b(10). Let i = k + u. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b082 (base 13) to base 7\nAnswer: 130524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 10:19 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c = -116436667 - 623216533. Round c to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsss when four letters picked without replacement from sddqdsddqdsdqdqs.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 3*b - 33, -58*r - b = -53*r + 39 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 10*o**3 - 35 + (177 - 43*o - 177 + (0*o + o - 2*o)*(0 + 2 - 3))*(-2*o**2 + o**2 + 2*o**2).\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*a - 4*n, 5*n = -a + 5*a - 15. Let b = 276 - 166. Calculate the highest common divisor of a and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 0. Suppose x = c - 20 + 4. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from ooeoeoooeoooooeeooo.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 56145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -120. What is the nearest to -1 in t, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-2)\/(-11) + 13804\/187. Let g(b) = b**3 + 12*b**2 + 2*b + 5. Let v be g(-11). Let t = v - f. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21))**(-1\/48) assuming r is positive.\nAnswer: r**(1\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -161. Is 28\/6*i\/(-3 - -7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-24) - 4\/(-24). What is the nearest to j in 1\/17, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2 - ((-27)\/4 - -4)). Which is the closest to 4? (a) 2 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563.7138 + -387906?\nAnswer: -388469.7138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 1382*v**2 + 6448066*v\/3 + 19331762\/9.\nAnswer: 2*(v + 1)*(v + 3109)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 2497*m**4 - 502*m**3 + 448536*m**2 + 2*m - 15?\nAnswer: 60*m**2 - 59928*m - 3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2) + 30\/6 + 0. Let s(y) be the third derivative of 0*y**5 + 0*y + 0 - q*y**2 + 0*y**3 - 1\/8*y**4 + 1\/40*y**6. Factor s(k).\nAnswer: 3*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2718379 - -6?\nAnswer: -2718373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let h = 8 - 17. Let d = 8.7 + h. Which is the third biggest value? (a) -3\/5 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4143058 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 16 - 4*a + 11 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -429 - -429.02. Let x = 49 + -50. Suppose 3*q - 2*f = -0*f + 2, 3*f + 5 = 5*q. What is the closest to x in 1, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1120, -3, 756, 5, -4 in decreasing order.\nAnswer: 756, 5, -3, -4, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - 798?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h + 2*i = 111, -4*h = i - 90. Suppose 5*u - h*u = -21960. What are the prime factors of u?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in 0.3, 1\/3, -44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h + 2*h - 7*h)*(-36*h**2 + 23*h**2 - 82*h**2).\nAnswer: 285*h**3 - 95*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 4, f: 3, h: 2}. Give prob of picking 3 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66674)\/(-68476))\/((-4)\/38).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from kcvtvtttkthtvvth?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-3\/8))**(-14))**(-1\/12) assuming w is positive.\nAnswer: w**(133\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 293.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003 and -18.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12784 and 282?\nAnswer: 38352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*m - 1 = -m, 3*h + 4*m = 10. Let v be (2 - h)*2\/(-4). Which is the closest to v? (a) -1\/6 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 337\/6 (c) 50\/7 (d) -6\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -904 or -19958?\nAnswer: -19958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 5*l - 5. Let a be d(5). Solve 2*i - a = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 50.05811 micrograms?\nAnswer: 0.05005811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4\/5 + 20256*i**3\/5 - 283028*i**2\/5 + 1151688*i\/5 - 290880 = 0. Calculate i.\nAnswer: 3, 8, 5050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*l - 2*l + 15, 5*h = -3*l - 15. Let n = 10.6 + -11. What is the third smallest value in n, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + w**2 - w + 14. Let h(d) = -d**3 - 2*d**2 + 2*d - 13. Let j(v) = 5*h(v) + 4*s(v). Give j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/119 and 95\/5062526.\nAnswer: 86062942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 + 3*w - 5. Suppose a = -2*v + 3 + 9, 0 = 4*a - 4*v. Let z be r(a). Let c(i) = -i**3 + 7*i**2 - i + 5. Calculate c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 745 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*n + 13. Let o = n + 256. Let q = -141 + o. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -2\/5, 0.013, -0.04?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdmm when four letters picked without replacement from {m: 2, g: 1, w: 1, d: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755487199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from bbbbbhvbrcbcebbbbebh.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 88 - 32 - 3*k + 172 - 5. Let y = -170 + 170. List the prime factors of z(y).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*(-7 - -7))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 + 6*a - 1. Let n be j(4). Let w(z) = -2*z + 13. Let c be w(n). Put c, 4, -1\/8 in increasing order.\nAnswer: c, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 870334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = 4*j + 2*y, -4*j + 29 = 3*y. Suppose 2*l - 2*z = 108, -2*z - 186 = -j*l + 78. Suppose 0*u = 4*u - l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 7 + 1)*(j - j - j) + j + 0*j + 2*j + (0 - 2 + 0)*(0*j - 3*j + 6*j))*(12 + 13*j - 12).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-7)\/x)\/x)\/(x\/(x**(7\/6)\/x))*x**(-13)\/(x*x**(-6)) assuming x is positive.\nAnswer: x**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 561429 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.3, 31, -0.0029, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1559*r - 1563*r = -20, 3*t + 4*r = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 159*d + 119. Determine f(39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 1. Let t(w) = -6. Let o(k) = -7. Let d(v) = -5*o(v) + 6*t(v). Suppose 94*g - 14 = 87*g. Determine g*d(j) - f(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1384 by 1.\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from {z: 3, l: 5, c: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27861 = 70*n - 73*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r)\/(((r*r\/r**(1\/3))\/r)\/r*r))**(-45) assuming r is positive.\nAnswer: r**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 + 1035 = 9*w. Let p = w + -62. Solve -3*j - p = 4*q, -4 + 18 = -2*j - 3*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9034 by -17515.\nAnswer: 9034\/17515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214 or -216?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 349 = -695 - 669 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 4*q**5\/15 + 7*q**4\/24 - 17*q**2. Find the second derivative of c(w) wrt w.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-2\/3)*z)\/z)\/z)\/(z*z\/z**(-15))*z*z**(-1\/3)*z**(-3)*z*z assuming z is positive.\nAnswer: z**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*g + 15, 2*h = h - g - 4. Let l be (64\/h)\/(-4)*-6. Let w = 30 + l. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-7)\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 35 = -5*b + 5*d, 0 = -b - 4*d - 7. Suppose 128 = -2*f + 4*f - 4*j, b*f = -j + 320. Let w = 67 - f. Solve 4*p - 4 = w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2. Let j(g) = 0*g + 2*g - 6*g - g. Let n(f) = f. Let r be (-3 + -3)*3\/(-2). Let z(u) = r*n(u) + 2*j(u). Calculate z(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117152 is divided by 16729.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44 = -3*u + 22, -s - 2*u - 3 = 0. Let p(l) = l**3 - 3*l**2 - 5*l + 6. Let j be p(4). Sort j, -5, -2, s in ascending order.\nAnswer: -5, -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(136) + (sqrt(136) + -4*(sqrt(136)*2 + sqrt(136)) - sqrt(136)) + sqrt(136))*-6)\/(-5*(3*sqrt(80))\/sqrt(10)*3).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.67702 millennia to months.\nAnswer: 68124.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13144 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3 + 0)*(1 + 0 - 2)*(-x + 0*x + 6*x)*(3 - 5 + 3).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136774 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: Collect the terms in 6*k**2 - 3*k**2 - 14 - 15 + 10.\nAnswer: 3*k**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 3*u + 1. Let k(b) = -8*b**2 + 18*b + 44. Calculate 6*h(z) + k(z).\nAnswer: -2*z**2 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639 + -637 + (15 - (-5 - -3)) + 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = 5*x, -4*x + 21 = -4*m + 17 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4895375 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/2 + 97*i**3\/2 - 230*i**2.\nAnswer: -i**2*(i - 92)*(i - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 43*r + 15 - 12.\nAnswer: -43*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10609*k**5\/3 - 1855339*k**4\/3 - 3961241*k**3\/3 - 773467*k**2 - 77160*k - 2124 = 0. What is k?\nAnswer: -1, -6\/103, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, 5, 62, -2 in increasing order.\nAnswer: -2, 4, 5, 16, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71773 and 1?\nAnswer: 71773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:23 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - j**2)*(2*j - 3*j + 3*j) + (-11 + 64*j - 1 - 47*j)*(2*j**2 + 5*j**2 - 5*j**2).\nAnswer: 32*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -123d (base 14) to base 3\nAnswer: -11101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -33618*l**2 - 2*l**3 - 1 + 33634*l**2 + l**3 - 12*l + 3*l**3 - 3*l**3 in the form r + t*l**2 + a*l**3 + p*l and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -3225.589\nAnswer: -3225.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -22 + 4. Let v(c) = -c**3 + 15*c**2 - 3*c + 5. Is v(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -20*g**2. Let r(f) = -883003*f**2. Calculate h(r(b)).\nAnswer: -15593885960180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h. Let d(g) = -6*g + 1. Suppose 7*u + 17 = -4. Calculate u*d(o) - 4*q(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 24*f**2 + f + 54. Let l be u(-8). Solve -41 = -k - l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.0583943 times -0.2?\nAnswer: -24.01167886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 4*b - 2. Let u(m) = 25*m**2 + 2*m + 1. Let r be u(3). Let g = r + -235. Give f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 = s. Let h(v) = s - 21 - v**2 + 7 - 23*v. Calculate the remainder when h(-19) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*d*f**2 + 5828*d*f - 2*d + 894*f**2 + 7 wrt f?\nAnswer: 50*d + 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1155*l**2*r**3 + 2*l**2*r + 86095*l**2 + 162*l*r**5 wrt r.\nAnswer: -6930*l**2*r + 3240*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*k - 1\/7*k**3 + 4\/7*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 - 2*r - 5. Let h be l(-5). Is h + 2 + -4 + 3416 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -244, -496, -746, -994?\n\"Answer: q**2 - 255*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2936 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 8192\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -6 + 19 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 13*d**2 + d + 14. Calculate the remainder when 106 is divided by r(13).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l + 33. Suppose -l = 2*p - 5*b, -6 + 0 = -5*p + 2*b. Solve 0 = p*c - 5*u + 29, 3*c = c + 2*u - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e728 (base 15) to base 8.\nAnswer: 302240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4071 - 968. What is the greatest common factor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -147343d - -1?\nAnswer: -147343c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3493 and 3992?\nAnswer: 27944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 14. Let z be v(12). Let y be z + (-3)\/(-2)*1. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146422 is divided by 24958.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 70*z. Let f(r) = -42*r. What is f(c(s))?\nAnswer: -2940*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121737*i**3 - 2*i**2 + 4496*i - 5.\nAnswer: 730422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3720*l**6 + 3732*l**2 wrt l?\nAnswer: -446400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15573, -15632, -15737, -15894, -16109?\nAnswer: -16388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + d + 7 + 4*d - 9*d. Let x be w(4). Let o be x - 1 - (-13 - -10). Put o, -2, 19 in ascending order.\nAnswer: -2, o, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -20 + (12 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 34*c = -6204. What is the remainder when c is divided by 282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w*((((w**(-2\/5)\/w)\/w)\/w)\/w)\/w)\/(w**(-1\/2))**(1\/27) assuming w is positive.\nAnswer: w**(-1147\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 32841020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.4, 19, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332 + 2432115?\nAnswer: 2432451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/72 and 111\/192676.\nAnswer: 3468168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 785, 1573, 2361, 3149?\n\"Answer: 788*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -368.9 times -0.57\nAnswer: 210.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 9. Let s(h) = 3*h + 5. Let t(j) = 11*s(j) + 6*y(j). Determine t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11807242 and 70840.\nAnswer: -11736402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -31. Let p(n) = 17*n - 862. Let i be p(49). Let q = i - t. Let g(d) = -d - 13. Let c(j) = -4. Determine q*c(x) + 2*g(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 - c**3 + 1 - 5*c + 10 + 2*c**3. Suppose -80 = -45*i + 37*i. What is the tens digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54291 and 380028\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q**(-1\/12))\/((q*q\/(q**(-2\/13)*q))\/q)*q**(1\/6)*q\/q**(1\/8)*(q**(1\/5)*q\/(q\/(q*q*q\/q**(-2\/23))))\/(q**2)**50 assuming q is positive.\nAnswer: q**(-3297679\/35880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6424 - -6550. What is the highest common factor of p and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 48?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 510 - 515. Let p(f) = -f**2 - 2*f. Calculate p(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 78. Calculate r(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3, 0.2, -32\/11, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/m)\/(m*m*m**(-5))*(m**(-1))**(-41) assuming m is positive.\nAnswer: m**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04269 and 1173.\nAnswer: 50.07537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5595344 and -273738.\nAnswer: -5869082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**0\/j))\/j)\/((j\/j**(1\/4))\/j))\/(j**(1\/2)*j)**(7\/2))\/(j**1\/j**(-1\/8)*j\/(j*j*j**(4\/9))*j**(-1)) assuming j is positive.\nAnswer: j**(-193\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -126635.7257 to the nearest 10.\nAnswer: -126640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.887 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 12*y + 945. What is the hundreds digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -120*2 + 3 + (4 - 5). Let p = 526 + v. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 201648*l**2 - 5073046560*l - 488872627200.\nAnswer: -2*(l - 50460)**2*(l + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 4 = 0. Suppose 14*o = 12*o + l - 85, 3*o + 4*l = -144. Let u = o - b. Is u not equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/15 - 2\/15. Let p be (482\/(-3))\/2*-1. Let i = 79 - p. Which is the nearest to w? (a) i (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/5 + y**3\/3 - y**2\/2 - 4*y. Let i(o) = o**3 + 36*o**2 - 37*o + 1. Let m be i(-37). What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(3\/5)\/b)*(b\/b**11*b)\/b assuming b is positive.\nAnswer: b**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-300)\/1344 + 32\/56. Let t = 3142775165\/336 - 9353477. Let h = t - s. Calculate the common denominator of h and -37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 5. Suppose -3*s + 12 = -y - 2*y, -4*s + 2*y + n = 0. Suppose s*r = -0*r + 2*d + 44, -5*d = r + 8. Calculate the greatest common factor of r and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 414*y + 2077. What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 28*o**3 - o**2 - 40*o + 13362. Let w(f) = -f**3 - 15*f - 2. Let n(k) = 3*w(k) - z(k). What is the first derivative of n(q) wrt q?\nAnswer: -93*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440 a factor of 4092841490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24853 and 79344?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 0 - -4)\/(-1). Let d(q) = 31*q**2. List the prime factors of d(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**6\/6 + 1378*c**5\/5 - c**3\/3 + 3*c**2\/2 - 320*c + 1259. What is the third derivative of i(d) wrt d?\nAnswer: -60*d**2 + 33072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 8358098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 + 67721361*p + 4586182735692321\/2 = 0. What is p?\nAnswer: -67721361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112710 and 1059825.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -972 - f?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvb when four letters picked without replacement from zvzvzzzivzzbbzzvzb.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 - 148.1952. Let m = 24.2202 + n. Let v = m - 24. Round v to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-5) - -5) + -10. Suppose -4*w - 62 = 14. Let v = x - w. Solve -3*z = v + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 95?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 + 0 = 0. Let p(z) = -z - 2. Let j be p(3). Put j, r, 5 in decreasing order.\nAnswer: 5, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = o + 31, 0 = 3*o - c + 30. What is the lowest common multiple of (-3)\/(-3 + o\/(-4)) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a + 2. Let c(f) = f**2 - f + 1. Let i(l) = 4*c(l) + z(l). Factor i(k).\nAnswer: 3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16587573*a*k**2 + 1394*a - 2*k**2 - 123 wrt k?\nAnswer: 33175146*a*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiqq when four letters picked without replacement from {q: 2, p: 1, h: 1, i: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, p: 2}. Give prob of sequence io.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 236 = -6*f. Suppose 0 = 2*o - 8, 5*y + 5*o = f*y - 36992. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 11220012001?\nAnswer: 11220011331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1\/2*2\/36*99.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18332, 36662, 54992, 73322?\n\"Answer: 18330*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 225254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-1))\/(8\/(-18) + 29\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/76*12*(9 + (-158)\/6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -134311 and 16167245.\nAnswer: 16032934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606 a factor of 13440156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:52 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 652656 + 0?\nAnswer: 652656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -48.\nAnswer: -48, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1284060 and 1412466?\nAnswer: 14124660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112407444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 143. Calculate the smallest common multiple of c(-12) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465 + 459. Let f(s) = 8 + s - 5 + 7. Let k(w) = 3*w + 29. Let d(v) = 8*f(v) - 3*k(v). Determine d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11681 and 25228.\nAnswer: -294688268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82785340 by 2.\nAnswer: -41392670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 23 = -17389. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - 354\/(-14). Let c(u) = 4*u + u**2 + 22 + u**2 - n. Is 10 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1115063837.7 to the nearest 100000.\nAnswer: 1115100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6328.3161 to 0 dps.\nAnswer: -6328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(2 - 6\/8). Let a(c) = c**3 - 9*c**2 - 9*c - 1. Let p be a(o). Let u(f) = -p + 0 + f + 0*f. Calculate u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 86133145*q**2 - 370945201246735*q - 6306093313697965 = 0. Calculate q.\nAnswer: -17, 8613323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*y + 4811*o**2 - 4*o*y**2 + 22322*o + 1268309*y**2 wrt y.\nAnswer: 2*o**2 - 8*o*y + 2536618*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 6*j**2 - 6*j - 1. Determine n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*(-56)\/(-12992)*290?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 10, -2*v - 5*i + 15 = -10. Suppose -143 - 515 = -4*u + b, 3*u + 5*b - 482 = v. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 10. Let b be z(5). Suppose b*p - 356 = 2*d - 3*d, 76 = p - d. Let h(w) = -73*w**2 + 148*w**2 - p*w**2. Let m(c) = -18*c. What is m(h(r))?\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 8*g**2 + 8*g - 2. Let m be z(7). Solve -m*i = -5*u - 30, -6 = 4*u - u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 62\/5*q**3 + 2\/5*q**4 + 616\/5*q + 80 + 324\/5*q**2 = 0.\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 699939405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 16*t**4\/3 - 41*t**3\/3 + 2*t**2 - 42. Differentiate v(w) wrt w.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from llkmntn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 22.3.\nAnswer: 66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = -5*g, 0*g + 3*u + 19 = -4*g. Let w(l) = l**2 + l. Let k(r) = -10*r**2 - 5. Let n(s) = g*k(s) - 3*w(s). List the prime factors of n(5).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2638*c**3 - 190*c**2 + 234524988 wrt c?\nAnswer: -7914*c**2 - 380*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/50 + 1\/5. Let q(b) = -3*b + 8. Let k be q(v). Solve -t = 3*a + 26 - 10, -3*t + a + k = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 91.6.\nAnswer: -1648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002265170937 to 7 dps.\nAnswer: -0.0022652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 0.3. Let u = -34.2 - -34.5. What is the second smallest value in 2\/5, u, l, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601318 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 3.9915631.\nAnswer: -3.5915631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-63))\/(2954\/(-420) - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let l = 2.6 - -0.4. What is the smallest value in l, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-40))\/((-1)\/(-20)). Let o = 6 + -5. Let q = s - o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3*((-39)\/18)\/13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18515024*s**3 + 17*s**2 + 97759 wrt s.\nAnswer: -111090144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let l(q) = -3*q**2 + 55*q + 1. Determine j(l(v)).\nAnswer: -3*v**2 + 55*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 1 + (-2 + 2 - 3)*(-4 + 8 - 6) - 2 - 1 + 10)*(-2 + 2 - h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 295191*w**3 + 295516*w**3 + 3*w**2 + (2*w + 4 - 4)*(4*w**2 - 3*w**2 + w**2).\nAnswer: 329*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 - 4*s + 6. Calculate the remainder when 263 is divided by n(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 16. What is the remainder when 4 + (-7)\/(d\/246) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.09057508.\nAnswer: -0.036230032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003923639 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 - 20*s - 10. Let f be (8\/(-10))\/((-8)\/(-85 + 5)). Let r(a) = -a**2 + a - 1. Let u(b) = f*r(b) - m(b). Let u(l) = 0. What is l?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 14*x**2 - 10*x + 21. Calculate i(-15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by -780723.\nAnswer: -230\/780723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(5\/2)*-3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 69 = 76 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + (sqrt(153) + (sqrt(153) + -1*sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153))*-4)\/(sqrt(144)*-2))*-1 + 5).\nAnswer: -14 - 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -724\nAnswer: 7\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -139?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(2*(sqrt(6)*-1 - sqrt(6))))**2 + -4)*-1.\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -291, -441, -573, -681, -759?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10 - 22 = -12, -25*c + 22*c = -q - 3*q - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1 - 3 - 4*n + 3*n. Suppose -11 + 3 = 2*m. Give l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9502)\/1260 - (-8)\/28. Let b = y - 35\/18. Let v = -9 - b. What is the third biggest value in v, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*(-14)\/(-20) + 31\/(-31)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2977957663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-3)\/((-27)\/24))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f - 2*f - 16, 5*b + 5*f - 40 = 0. Suppose -k - 2 = 2*l, -4*l + 4 = -2*k - b. Calculate the remainder when -3*(-2)\/(-9)*-3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266566 (base 7) in base 11?\nAnswer: -34932","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t**(2\/5)*t)\/t*t*t)\/t*t\/t**(2\/27)*t**(-2\/3)*(t\/((t*t*t**(9\/2)*t)\/t))\/t)**(-4\/25))**32 assuming t is positive.\nAnswer: t**(66368\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or 1344?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76.9, -11, -0.07, -5\/6.\nAnswer: -76.9, -11, -5\/6, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -18, 7, 62, 159, 310, 527, 822?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-339300)\/(-1218) - 279)\/(3\/11)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/120 and -145\/37344.\nAnswer: 186720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 4*p**3 + 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from aannaaynhh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - 3*j + (0 - 3 + 4)*(1 - 1 + 6*j) + 2*j + 3*j - 3*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (28218\/(-8) - 0)*(-96)\/72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -4*p - 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 40. Let i = -8 + 17. Suppose 7 = 4*n - i. What is the highest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 4*a, 2*a + 2 = v - a. Solve -4*q + v*q - 20 = -5*p, -5*q = 2*p - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 6 + 12 = 5*y, q = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1547 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.3 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.11 + -5.15. Let g = 3.08 - 0.08. Let p = -3\/68 + 193\/1292. Sort c, g, p in ascending order.\nAnswer: c, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 33*h**2 + 13*h + 25. Is u(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 1147, 2456, 4279, 6610, 9443, 12772?\nAnswer: 16591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 times -1300?\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5473251 divided by -1029.\nAnswer: 5319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 - 5 = 0. What is the common denominator of q + (3 - (-298)\/(-60)) and -47\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a - 56 = 0, -j = 4*j + 4*a - 118. Suppose 5*x = 6*x - 22. Calculate the highest common factor of j and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73.1 not equal to -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -3*m, -6*m = -4*v - 5*m + 38. Calculate the remainder when 503 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*n + 148 - 146 + 171*n to the form f + q*n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2600120.\nAnswer: -780036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13054804, -26109603, -39164404, -52219207?\nAnswer: -65274012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 35*i = 105. Let p(u) be the first derivative of 26*u**2 - 149\/4*u**4 - 112\/5*u**i + 18*u**3 + 49\/2*u**6 + 8*u - 3. Determine y so that p(y) = 0.\nAnswer: -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, m: 2, t: 1, k: 1}. What is prob of sequence wc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94980980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.998175 + 4. Let y = p - -2.498315. Let k = -2.5 + y. Round k to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/9)*(c\/c**(-29))\/c*c)\/(c\/c**(4\/5)*c*c**(-1\/4)) assuming c is positive.\nAnswer: c**(5249\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 5 - 7*u - 27 + 6*u to the form s + r*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 17281445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/4 - 59*l**4\/4 - 809*l**3\/4 + 1799*l**2\/4 - 465*l\/2 = 0.\nAnswer: -31, -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**0*q))**43*(q\/(q\/((q**(-6\/5)\/q)\/q*q)))\/q*q*q*q**(-12))**37 assuming q is positive.\nAnswer: q**(-10397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*((-2*sqrt(204) + sqrt(204))*-6)\/sqrt(12) + -4.\nAnswer: -8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 = -5*o - 28, 4*i + 28 = 4*o. Let x be 3\/i*-2 + -15. Calculate the remainder when x\/(0\/2 + -1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13113 (base 5) to base 15\nAnswer: -48d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 8*b + 8. Let v be m(9). Suppose -1 = 4*x - v. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.2020443 to two decimal places.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 + 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 6*h = 11061 + 5571. Sort h, 2, -3 in ascending order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeffefeeeffffeefef. What is prob of sequence eff?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -274, -288, -324, -388, -486, -624, -808?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sthh when four letters picked without replacement from osfshtohhojh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 369*c**3\/5 + 1704*c**2\/5 + 2301*c\/5 + 966\/5 = 0.\nAnswer: -322\/123, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(576)*-6)\/(sqrt(360)\/sqrt(5) + sqrt(2) - sqrt(8)\/(sqrt(32)\/sqrt(8))).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 421474 and 68724.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 + 5*q - 1. Let t be r(-5). Let b = 11 - t. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 3. Let n(t) be the second derivative of t**3\/2 + t**2 + 6*t. Give 8*n(p) + 5*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 30 - 5. Put p, 4, 1, 2 in descending order.\nAnswer: 4, 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r = 5*g - 1, 0 = 3*g - 3*r + 6. Suppose g*n + 0*n + k - 8 = 0, -n - k = -4. Solve -n*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.9. Let c = 6.3 + -10.5. Let u = c + 5.2. What is the nearest to r in u, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*d - 3 = 0, -3*z - 4 = -5*d + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 104477*k**2\/4 + 682332742*k + 6138879201.\nAnswer: (k + 9)*(k + 52234)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34803.48 - 0.0186509?\nAnswer: -34803.4986509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 5*c - 39285*c**2 + 40182*c**2)*(-c - 3*c + 3*c) as y*c**2 + l + w*c + s*c**3 and give s.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1647*b**6 + 12301*b**2 wrt b?\nAnswer: -197640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 18. Let u(k) = k - 1. Let q(j) = -6*u(j) - z(j). Let m be q(-5). Let p be 1 + 0 + (-4)\/(-2). Solve -y - i + m = 3*y, 0 = -p*y - 3*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -147, -216, -289, -366, -447?\n\"Answer: -2*f**2 - 59*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 7*z - 5. Suppose -2*a = -u - 5 + 1, 0 = 2*u - 4. Suppose -a*q = -5*m, m - 6*m = -4*q + 5. Give p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3006599\/2492 + -2413\/2. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3640.967 meters to millimeters.\nAnswer: 3640967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c + 2*f, 5*c - 5 = -f - 1. Suppose c = -r + 13 + 5. Solve -5*j + r = -2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*t**3 + 14*n*t**2 - 10403784*n - 102796444*t**3 wrt t?\nAnswer: 12*n - 616778664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.2? (a) 4 (b) 3\/5 (c) 0.4 (d) -83 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwvkxvkxkx. Give prob of sequence xk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q + c, 0*q - 5*c = q - 4. Let z be -4 - (-8)\/q - -24. Let l be 0*(z\/(-6) + 4). Solve l = -2*m + 7 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 69. Let c = 83 - t. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 866*v + 37267. Calculate k(327).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000408399417 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, -1, 7 in decreasing order.\nAnswer: 7, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.3.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 183647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7133, 31990, 73447, 131510, 206185, 297478, 405395?\nAnswer: 529942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -1\/6, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 393, 395, 397, 399, 401?\n\"Answer: 2*t + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((31 - 1) + -2). Let p = 51 + u. Find the common denominator of -10\/3 and -1 + (-2)\/(p\/91).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = u + 5*y, 2563*y - 2561*y + 7 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-39))\/((-2)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.027\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 33*f**2 + f - 34. Let v be n(33). Let c be 1\/(-1)*v\/5. Suppose -c*w**2 + 1\/5*w**3 + 1\/5*w**4 + 0 - 1\/5*w = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034502258.\nAnswer: 2, 1517251129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*m**4 - 2*m*p**3 - 88*p**3 wrt m.\nAnswer: 516*m**3 - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**4 - 3*y**3 + y**2 - 1. Let t(c) = -c**4 + c**3 - 1. Let h(b) = s(b) - t(b). Find f such that h(f) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 8) to base 16\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321475 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-318)\/(-30)*(-12)\/18.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 2*p)*(-4417 + 4417 - 208*p**3) + p**4 + p**4 + p**4.\nAnswer: 419*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 18*k**2 - 46*k + 30 = 0. What is k?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95511 by -403.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1566?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -855 - -1392. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20 and -117\/29890?\nAnswer: 59780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 499624 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkkfkfqfqk. What is prob of sequence qkk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**4 - 2773*h**3 - h**2 + 48884*h wrt h?\nAnswer: 48*h**2 - 16638*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7853517 or 7853511?\nAnswer: 7853511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1752 and 442568632?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312227247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 92.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0.02, 0.2, -71\/5, 3 in ascending order.\nAnswer: -71\/5, -4, 0.02, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/360 + o**5\/120 - o**4\/3 - o**3 - 13*o**2 + 9. Let h(b) be the second derivative of l(b). Calculate h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 2*x - 1. Let r(w) = -4*w**2 + 4*w - 1. Let m(y) = 7*k(y) - 4*r(y). Does 3 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -722?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:26 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h. Suppose g + h*g - 18 = 0. Calculate the lowest common multiple of g and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -34 - (4 - 0 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*f*g*t**3 + 291097*f*g + 38*g*t**3 + 5*g*t**2 - 56*g - 4*t**3 + 3*t**2 + 3 with respect to f.\nAnswer: -45*g*t**3 + 291097*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2*sqrt(320) + sqrt(320))**2 + 5 - (4*(sqrt(5) + 1) + 3)) + 2)*3.\nAnswer: -5760 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**9\/126 + c**5\/15 - c**2 + 3*c. Let b(f) be the first derivative of o(f). What is the third derivative of b(g) wrt g?\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + -0.5. Let r be (418\/33 - 13)\/(2 + 1\/3). Let o = 0.23 - -0.07. Which is the nearest to o? (a) r (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**4\/12 - 5*r**3\/6 + 11*r**2\/2 + 10*r. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7701 - 38*j**2 + 23114 - 7707 - 245*j**2 + 280*j**2 - 7706.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-612)\/18)\/(-2) + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 11*z - 20. Let g(f) = 0*f**2 - f**2 - 6*f**z + 36 + 9*f**2 + 10*f. What is the tens digit of g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 14*w**2 - 13*w + 9. Let z be a(15). Suppose 0 = -y + 12 + z. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*(0 + sqrt(99)) + sqrt(99) - (sqrt(99) + 1)*5) + 4)**2 + -3.\nAnswer: -203 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -415*g + 725*g - 737*g - 681*g - 226*g as q*g + l and give q.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 3 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o)**(3\/34)\/((o*(o**(-5)\/o)\/o)\/o*(o\/(o\/o**(-8\/5)))\/o))\/((o**(6\/7)*o*o**(-1\/8))\/(o*o**(2\/3)\/o*o)**28) assuming o is positive.\nAnswer: o**(780013\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**2 + 13*c**2 - 6*c**3)*(2 + 1 - 2)*(-1 + 2 - 3).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 18. Let y(x) = 69*x + 2. What is the tens digit of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -692793 by -76977.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 + (-8)\/((-640)\/225392) - (-2)\/(-5) and 16?\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 145\/6*c + 5\/6*c**2.\nAnswer: 5*c*(c - 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s**4 - 6*s**2 - 3*s**3 + 2 - 7*s**2 - 16*s**3 + 5*s + 14*s**5 = 0 for s.\nAnswer: -1, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 88 - 288 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -62315, -3 in ascending order.\nAnswer: -62315, -35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 + 97*v**4\/5 - 378*v**3\/5 + 562*v**2\/5 - 373*v\/5 + 93\/5 = 0. Calculate v.\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -42, -3, 4, 131 in descending order.\nAnswer: 131, 10, 4, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.42*-0.26\nAnswer: -0.3692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/4 - 51*b**4\/4 - 839*b**3\/4 - 4821*b**2\/4 - 2331*b - 1323 = 0 for b.\nAnswer: -21, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -4.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 12) in base 7?\nAnswer: -502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - k)*((1 + 0 - 4)*(8*k - 4*k + 5*k) + k + k - 3*k + 5 - 5 - k + 0*k + 0*k + 2*k).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*13*(1 + -2). Let q = -23 + m. Suppose -i = 3*i + 4*v - 8, 4 = 2*i + v. Solve -u + 14 = -0*u + q*t, 0 = -i*t + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 9. Let f be d(5). Find the third derivative of -2*k**2 - f*k**2 + 14*k**3 + 3*k**2 wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 + 51*g**3 - 8473639*g**2 + 8473639*g**2 + 2 + 6*g**3.\nAnswer: 65*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/16 and 29\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, -1, -45 in decreasing order.\nAnswer: -1, -2, -22, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184.676 - 181.6. Let u = k - 2.75. Let a = u + -0.26. Round a to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -322, -561, -790, -1015, -1242, -1477, -1726?\n\"Answer: -n**3 + 11*n**2 - 265*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o\/(o\/((o*o**(-16))\/o)))*o*o*o*o*o))**(8\/15))**(-50) assuming o is positive.\nAnswer: o**(1760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l - 5. Let r(d) be the first derivative of -d**2 - 2*d - 7. Suppose -4*w - 5 = 3*o + 1, 4*w = 0. Let n = 0 + o. What is n*t(s) + 5*r(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpx. What is prob of sequence pxb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23.858 and -0.7.\nAnswer: 23.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 5*j = -0*u + 9*u - 2, -5*u - 90*j = 90*j + 2*j + 344 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, j: 1, x: 1, z: 1}. Give prob of sequence jx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/12*v**4 + 0*v**3 + 1\/120*v**6 + 0*v + 1\/60*v**5 + 0 - 6*v**2. Factor h(o).\nAnswer: o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Suppose -q + 4*g - 20 + 70 = 0, 4*q - 181 = -p*g. Let n = q - 28. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + (-2)\/8. Let m = -56 + 54.64. Let v = 0.36 + m. What is the second smallest value in 0.3, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 1. Let n(m) = 3*m**3 + 6*m**2 - 2*m - 12. Let i(c) = -2*g(c) + n(c). Let s be i(-6). Put s, 3, -5 in descending order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049+6708.68416\nAnswer: 6708.63516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86449653.\nAnswer: 3, 3201839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*z - 53*z + 24*z)*(-1 + 2 + 0).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3368.\nAnswer: 10104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 - 86. Suppose -9*y + k = -4*y. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 10180*s**2 + 6420672*s + 71864496.\nAnswer: 4*(s - 1278)**2*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -40274000 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 = 4*l - 169, -5*l - 105 = -2*g. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 8, 50, 140, 296, 536?\n\"Answer: 3*o**3 - 3*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3452 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6446 + -6448. Let d = -1.2 - -0.2. Let q = 3 - d. Which is the closest to -0.2? (a) q (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 42*h = 2*p - 8375, -2 = -2*h. Calculate the greatest common divisor of p and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 0*c = -30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9840711542 - 9806?\nAnswer: 9840701736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**1)\/i)\/i**13*i\/(((i\/(i\/i**15)*i*i)\/i)\/i*i)*i*((i**4*i)\/i)\/i)**(3\/26) assuming i is positive.\nAnswer: i**(-75\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*5\/(5\/4). Suppose 0 = 2*h - k + 4. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from {h: 2, t: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j - 2. Suppose -4*l + 12 = -2*q, j*l - 2*l - 4*q - 14 = 0. Suppose -30 = -l*r - 3*r. Solve -r = -3*i - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116272 and 47816?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-14))\/(9\/21). Let x(y) = 6*y + 11. Let k be x(-3). Let g = 13\/2 + k. What is the nearest to g in n, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Suppose -2*w - 4 = 2. Let j(o) = o - 6. Let m(h) = 3*h - 17. Let f be 1 + 0 + 2 + 14. Let z(u) = f*j(u) - 6*m(u). Determine w*z(c) + 2*k(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 28*a**2 + 2*a + 1. Let u = -10 - -9. Is n(u) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -17*o + 138 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21665628*f**3 - 20*f + 47999?\nAnswer: 129993768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126920 and -79.\nAnswer: 10026680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-1) + (-10087)\/(-1463).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 344*z**2 - 7*z + 9. Let h(u) = -u**2 + 2*u + 10. Let l be h(4). Let k be f(l). Is 17 a factor of k\/27 - 6\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -7)\/((-3)\/1). Let y be (-12)\/18 + 2\/3. Sort -0.1, u, y, -2 in descending order.\nAnswer: y, -0.1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 287*f**3\/2 - 276385*f**2\/2 + 138049*f.\nAnswer: f*(f - 1)*(287*f - 276098)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**5 + 227*h**3*y**3 + h**3*y**2 - 59*h**2*y**3 - h**2*y**2 + h**2 - 19*h*y**2 wrt h.\nAnswer: -420*h**2 + 1362*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 34686*l**2 - 65294250*l - 29236156250 = 0 for l.\nAnswer: -875, 19093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwnlnfmw. Give prob of sequence wwnm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, k: 1, r: 1}. What is prob of picking 2 j, 1 k, and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/6 + 22*u**3\/3 + 14518*u**2. What is v(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 139018.2 micrometers?\nAnswer: 13.90182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65*-2*(-3)\/5. Suppose 4*v - 10 = t. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z - 3. Let s be v(-4). Let g = 34 - s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.6 and 147 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-460)\/(-77 + 60 + 192\/16).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 337723879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkk when three letters picked without replacement from gggogkooggogkggkgg?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (324\/63)\/(6\/2961). Let -3*a**3 + 462 + p + 81*a - 466*a - 515*a + 90*a**2 = 0. Calculate a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -28. Let g be 2\/j - 3\/(-4). Let q(b) = 8*b + 1. What is the units digit of q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(264))\/sqrt(8) - sqrt(1617)*-2)\/((6*sqrt(216))\/(6*-1*sqrt(8))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 13*o**2 - 3*o - 16. What is i(-13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y. Let q(i) = 1305*i - 348. Let w(v) = -9*v + 2. Let r(l) = -q(l) - 174*w(l). Give r(h(z)).\nAnswer: -1566*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/(3 + (-33)\/12). Let f = 2.059 - 0.059. Which is the biggest value? (a) 2\/21 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*q + 2788 + 2437 = -7055 - 1076 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/(t\/t**(1\/5)))\/(t**(-1)\/t)**(2\/3))\/(t**(-5)*t**(1\/4)\/t*(t**0)**(-1\/33)) assuming t is positive.\nAnswer: t**(497\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 59 + -107 + 41?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.875 + -16. Let j = p - -50.125. Let l = -42.8 + j. What is l rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 4, e: 3, v: 1, u: 7}. Give prob of sequence ve.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6054416)\/(-40))\/((-30)\/(-75)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37812264 and 12604088.\nAnswer: 37812264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 25 = -5*i, -3*i - 6 = g - 1. Suppose i = 5*a - a + 2*v - 8, -a = 4*v - 9. Solve -3*u - o - 2 = a, 0 = 4*u - 3*o + 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/2*(-11)\/22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1812 divided by -4.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077528 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**2 + 6*o + 34. Does 63 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 13. Let h be g(6). Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s**2 + 765*s - 45. What is i(-32)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600822079*d**2 + 83161144*d.\nAnswer: 1201644158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 - 3*v**2*w - 3748*v**2 - 4*v*w + 161*w - 3 wrt v?\nAnswer: 24*v**2 - 6*w - 7496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3989.586l to millilitres.\nAnswer: 3989586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/((16 - 7)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1352 times -0.3\nAnswer: -0.04056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 = -3*i - 4*d, -5*i + 2*d = -34. Let p = i + -6. Find the common denominator of -29\/4 and (p + -1)*45\/(-55).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 0.35. Let m be (1 + -2)*(-7 + 0). Let l = m + -3. What is the nearest to 0 in 2\/3, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442106 divided by 7?\nAnswer: 63158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 - 1\/6*w**3 - 3\/4*w**4 + 0*w + w**2. Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0439 + 0.2439. Let w = 5 + -10. Put z, -2, w in decreasing order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 + 342. Let c be f + 7 + -4090005 + 2. Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 2. Let j = -12 + 22. Suppose 0 = j*s - 5*s. Suppose 4*g + 14 - 2 = s. Determine d(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/6)\/o)**(2\/37)*((o\/((o\/(o*o**(-13)))\/o*o))\/o)\/o*o*o\/((o*o\/(o**(-2)\/o))\/o*o))**(-17) assuming o is positive.\nAnswer: o**(32164\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2195, 2137, 2069, 1985, 1879, 1745?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4*o + 3*d**4 + d**2 + 12*d*o + d wrt d.\nAnswer: 12*d**2*o + 36*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(48)\/sqrt(4) + sqrt(432)*1)\/((sqrt(4) - (sqrt(484)*-3 + sqrt(4)))*-5)*2.\nAnswer: -4*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 249001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54 - (1 - (1 - 0)). Suppose -14 = 4*o - y. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d - 3*p, -d - 3*p - 3 = -5*d. Suppose 4*q - 4*k - 21 = 19, -k = q - 10. Suppose l + l = q. Sort l, d, -3 in increasing order.\nAnswer: -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 80. Let x be (7 + 291\/(-42))*(1 + b). What is the nearest to -0.3 in x, 0.4, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21173501*j**2*k**2 + j**2*k - 2*j**2 - 3*j*k - 2*k + 798895 wrt k?\nAnswer: 42347002*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - 112\/(-40). Suppose 0 = s + g - 7. Calculate the remainder when 14 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4877? (a) -0.18 (b) 0.6 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271802*4.\nAnswer: -1087208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 5:56 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35766077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 3*c**2 + 4. Let j = 5 + -5. Let y = -3 + j. Let r be b(y). Solve 4*i - 9 = r*g - 25, 12 = -4*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 71*z**7\/70 - z**5\/30 + 16*z**3\/3 - 346*z**2. What is the third derivative of c(a) wrt a?\nAnswer: 5112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -104*s**2 + 3. Let v(l) = 240*l + 1. Calculate k(v(t)).\nAnswer: -5990400*t**2 - 49920*t - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.2. Which is the second biggest value? (a) -5 (b) 27\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7*(u\/(u*u**(1\/4)))\/u*u**(-1\/2)\/((u*u*u*u**(-3\/8)*u)\/u) assuming u is positive.\nAnswer: u**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and 544?\nAnswer: 543.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let a(n) = 2420*n - 1878316 + 1878316. Calculate i(a(t)).\nAnswer: 5856400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 10*r + 30. Let x(b) = -4*b**2 - 17*b - 60. Determine 5*w(l) + 3*x(l).\nAnswer: -2*l**2 - l - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from {l: 2, k: 2, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-42) + (-87)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2051, -2087, -2123, -2159, -2195, -2231?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 11*n + 21. Determine j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207413 divided by -1.\nAnswer: 207413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -1229, 2, 1, 41 in decreasing order.\nAnswer: 41, 2, 1, 0, -1, -1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/6*-1)\/(2\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10439\/6 or -0.2?\nAnswer: 10439\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose -3*m + 34 + 24 = q*c, -m - 6 = -5*c. Calculate the greatest common divisor of 35 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29 + 1)\/(9\/12). Suppose v = h + 38. What is the units digit of -3 + (99 - ((h - 0) + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-30)*-9*(-190)\/114. What is the closest to j in -1, -5, -4, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310456 is divided by 433?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)\/m*m*m*(m\/m**(2\/27))\/m)**(2\/123))**(1\/23) assuming m is positive.\nAnswer: m**(-760\/76383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. What is the highest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m + 4. Let v be (-2)\/m - (3 - 3). Suppose -3*g - v*s + 45 = -36, 4*s = -g + 37. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let t = 1 + -2. Let h = 1279 + -1285. Let w(d) = 4*d. Let k(p) = h*z(p) + t*w(p). Let o(n) = 23*n**2. Calculate o(k(f)).\nAnswer: 92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3811 by -37.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 59*w - 5. Let l(a) = 13*a**2 - 12*a**2 + a**2 + 39*a - 71 + 68. Calculate -5*k(h) + 8*l(h).\nAnswer: h**2 + 17*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 7:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.385 + -1.285. What is the nearest to 2 in 1, 4, 0.2, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-14) - (-4)\/(-14). Let n = 23 - 27. Put 1, n, f in decreasing order.\nAnswer: f, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = -6*g. Let s = -52\/35 - -86\/105. Suppose -5*j + 12 = -2*j. What is the nearest to j in s, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -83*s - 855. What is the remainder when 520 is divided by d(-11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8645 (b) 0 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -131049, -131047, -131045, -131043?\n\"Answer: 2*f - 131051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 13*g + 2*g**3 + 23\/2*g**2.\nAnswer: (g + 2)*(g + 4)*(4*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 188*c**3 + 2249*c wrt c?\nAnswer: -40*c**3 + 1128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let p(u) = u**2 + 4*u**2 + 3*u**2 - 4*u + 0*u - 3. What is the units digit of p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 2 - (-1 - (0 + -3)) - (622 - 625)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -595670500 rounded to the nearest 1000000?\nAnswer: -596000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11192790 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2 + 445*q + 101. Give n(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 167 + 3*m**2 + 5*m - m**3)*(-m - 3*m + 0*m).\nAnswer: 4*m**4 - 12*m**3 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25430 and 2.\nAnswer: 25430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**4\/4 - w**3 + 12. Factor n(z).\nAnswer: -3*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -108132\/11 (b) 0.5 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqrrzrqnyqq. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1712620 + 2901537. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 + 9*z**3 - z + z**3 + 4*z**3. What is the lowest common multiple of f(1) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 1. Let h(t) = -5*t**2 - t + 4. Let d(o) = 11*o**2 + 3*o - 8. Let p(v) = -4*d(v) - 9*h(v). Let w be p(3). Is x(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62986?\nAnswer: 2, 7, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1371\/(-914)*(2\/2)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -21218?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 - -454. Suppose l = -3*l + h. Calculate the remainder when l is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1682887 = 2*z - 3748151. Let a = z - -3159486. Let h = 8875005 - a. What is h rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161497375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60173650?\nAnswer: 2, 5, 41, 149, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 31*y**2 + 2*y + 1. Let d be (-4 + 6 - 2) + -1. Let k be u(d). Does 2 divide -2*(-5)\/k*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 + 12*b + 3. Let p be -1 + 6 + 8 + -1. What is x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/48*6 - (-373)\/2.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-7502)\/(-3 + 2) - (-30 + 32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -11*d**7\/7 + 2*d**3\/3 - 6*d + 63. What is the third derivative of x(j) wrt j?\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(176) - (sqrt(176) + -2*sqrt(176))**2) + sqrt(176) - (-5*(sqrt(99) + (5*sqrt(99))**2) + sqrt(99)).\nAnswer: 20*sqrt(11) + 12200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93767.3 in 0.1, 9, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*c = 2950, 0 = 24*g - 20*g - 3*c - 2356. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5*j**9\/1512 - 9*j**5\/40 - j**3 + 20. Let l(f) be the third derivative of a(f). What is the second derivative of l(u) wrt u?\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t - 17. Let h be u(2). Suppose -5*y + 88 = 3*d - h*y, -4*d + 104 = 4*y. Calculate the remainder when 76 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t + 12 - 20 - 4*t. Does 8 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474168, -474165, -474162, -474159, -474156?\nAnswer: -474153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7362444*l**2 + 2510754?\nAnswer: -14724888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/60 and 1\/280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -82, 5, -4, 1130, -5 in increasing order.\nAnswer: -82, -5, -4, 0, 5, 6, 1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 6745*v. Let c(o) = -6152*o. Give c(l(w)).\nAnswer: -12304*w**2 + 41495240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 41 = -74. Let n = -21 - i. Suppose -n = -4*c + 58. Calculate the highest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 0. Suppose p*g + 12 = 4*g. Suppose -3*z + g = -9. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2660?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162) + (-3 + sqrt(2))*-2)**2 + -3.\nAnswer: 84*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 1\/5, 47, 0.\nAnswer: -5, 0, 1\/5, 0.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23480.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3, -0.8, -5\/4, -165.7 in descending order.\nAnswer: 1\/6, -0.8, -5\/4, -3, -165.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**1))**(9\/8))**(-38) assuming m is positive.\nAnswer: m**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 1\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-2))\/(465\/620))\/(2 + -6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/20 + m**4\/12 - 5*m**3\/6 - 9480*m**2. Let f(p) = 4*p**2 + 2*p - 4. Determine 5*f(y) - 6*o(y).\nAnswer: 2*y**2 - 2*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18459*u - 146080. Give h(8).\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179816736 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1\/20, -14 in decreasing order.\nAnswer: 1\/20, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = n, -5*n = -n + 3*g - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18416 - 18427. Sort c, 2\/7, -1\/3, -6, -5 in descending order.\nAnswer: 2\/7, -1\/3, -5, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*16\/2. Suppose o*r = -2*r. Which is the biggest value? (a) -4 (b) 0.2 (c) 3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/(-12))\/((-9)\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*p**5 - 30*p**5 - 3*p - 4*p**2 + 6*p + (-11 - 4 - 17)*(-2*p**5 + 3*p**3 - 3*p**3).\nAnswer: 63*p**5 - 4*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 26. Let l be ((-128)\/144)\/((-1)\/18). Calculate c(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*r**3 + 178*r**2?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 646586545*a**3 - 104879483*a?\nAnswer: 3879519270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3464 + 3312 = -19*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 41. Suppose 24 = 2*o + d - 10, 3*o - d = 56. Let l = w + o. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1149\/383*(-114)\/9).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 11*p - 135. Calculate the remainder when 58 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 172, 151, 112, 49, -44?\n\"Answer: -g**3 - 2*g + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-19*k + 279 - 279).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 622*a**3 - 2415*a**3 + 2410*a + 173*a + 69*a**3 - 884*a**3 wrt a?\nAnswer: -15648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Let f(b) be the first derivative of 78*b**5 + 14*b - 35*b**h - 44*b**5 + 10. Find the first derivative of f(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + -7)) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8565 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, -7, 0.2, -12.5?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7765.\nAnswer: 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 0*q)*(4*q**3 - 3*q**3 - 2*q**3) + (-2*q + 3 - 3)*(2*q**3 + 2*q**3 - 6*q**3).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdlm when four letters picked without replacement from mmlllxjxdlmxddll?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/12 - 63475\/(-67158). Let p = g - 19\/738. Let n = p - 7\/13. What is the closest to 2\/7 in -1\/2, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*w**3 - 4*w**3 - 84*w + 7 + 68*w - 35*w**3 - 16*w**3 wrt w?\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-16) + (-1)\/(-4). Suppose -6*j + u*j = 0. Suppose -77 = -j*o - o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*k - 108, z + 242 = 5*k + 3*z. Let r be ((-12)\/15)\/(4\/k). Are -11 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 81. Let s(v) = -9*v - 84. What is -3*g(r) + 2*s(r)?\nAnswer: 3*r + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -5*g**6\/6 + 7*g**4\/4 - 463*g**2\/2 - 181. What is the second derivative of k(d) wrt d?\nAnswer: -100*d**3 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328639 is divided by 53632.\nAnswer: 6847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h\/(h\/h**(-2\/59)))**(-2\/13)*(((h*((h*h\/h**(-4\/5)*h)\/h)\/h)\/h)\/h**5)**(-42) assuming h is positive.\nAnswer: h**(510134\/3835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 - 2*t - 3. Let p be h(3). Suppose p = -3*x + 1363 - 106. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2163417, -3 in descending order.\nAnswer: 2163417, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 4. Let b be w(6). Let j = 5 - b. Suppose 2 = q + q. Sort j, q, 5 in descending order.\nAnswer: 5, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11*l = 15*l + 27, 5*a + 5*l = -40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 173, 457, 867, 1415, 2113, 2973, 4007?\nAnswer: 5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(2 - 2*y - 2)*(5 - 8 - 5) as j + p*y and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1))\/q*q)\/q)**(2\/9))**(-12)*(q**(2\/11)*q)\/(q**(2\/9)*q)*(((q*q*q**(-1\/3))\/q)\/q)\/(q*q*q**(2\/7)*q) assuming q is positive.\nAnswer: q**(-688\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*s + 12. Which is the closest to 1\/3? (a) 3 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 - 1\/3. Suppose -3*w + 3*v = 9, -4*w - n*v - 7 = -5*v. Solve w*s + 2*s - m - 12 = 0, 5*s = -5*m + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 17*c + 4. Let o be m(17). Suppose 0 = -3*w - o*w + 189. Suppose 4*k = -3*t + 1, k = -k - 4. Calculate the greatest common factor of w and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 3*u - 28. Let v be p(4). Suppose 2*t = v, -4*n + 7*n + t - 1365 = 0. Is n a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11000100101100001111?\nAnswer: -11000100101100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 2*r + 3*r + (2 - 6 + 3)*(1 - 2*r - 1) + 1 - 1 + r + 3 + 8 - 26*r - 8.\nAnswer: -21*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 1, h: 6, o: 2}. Give prob of picking 2 h, 1 j, and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 43*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:54 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11726, -93850, -316770, -750884, -1466590, -2534286, -4024370, -6007240?\n\"Answer: -11733*p**3 + 7*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + 221?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*l**2 + 9 + 2*l**3 - 8*l - 21 + 20*l + 0 - 12*l.\nAnswer: 2*l**3 - 115*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3723465*b**2 - 1462352*b?\nAnswer: 7446930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2867034 (base 11) to base 9\nAnswer: -10241846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 64*b - 25 = 40 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.056 - -18561601.\nAnswer: 18561601.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 24488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*y**2 + 235 - 127 - 108.\nAnswer: -558*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/3 - 48967*h**2 + 1798251864*h + 5395196304 = 0.\nAnswer: -3, 73452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 28. Let c(s) = -155*s**2 + 1. Determine a(c(i)).\nAnswer: 24025*i**4 - 310*i**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 3*t + 4*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 8:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -123 - -125 - (0 + 16) - -51\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -246561.141 rounded to the nearest 100?\nAnswer: -246600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + -0.3. Let v = -910 - -913. What is the closest to -1 in 0.4, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + m + 23 - 265 = 3*m + 6*b, m + 69 = -2*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*q**2*t**4 + 76*q**2 + 111*q + 286*t**4 + 2 with respect to t.\nAnswer: -288*q**2*t**3 + 1144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:44 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1985.3+672287727\nAnswer: 672289712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 10*p**3 + 7*p**3 + 21*p**3 + 18*p**3 - p**3 + (-4*p**3 + 3*p**3 + 3*p**3)*(5 - 2 - 2).\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 2. Let l(r) = 13*r + 9. Let y(u) be the third derivative of -u**5\/60 + 5*u**4\/12 - u**3 + 4*u**2. Let c be y(6). Determine c*x(w) + 4*l(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.99075t in milligrams?\nAnswer: 36990750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 19*t + 12. Suppose 0 = -d + 7*f - 2*f + 14, -d + 13 = -4*f. Let k be p(d). Let o be (-122)\/183 - 1\/(-3)*-232. Is k != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2780\/(-11676))\/((-1224)\/(-168) + 14\/(-2))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6*k + 9*k = -696, 2*f + k - 358 = 0. What are the prime factors of f?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01545 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, v: 3, d: 1}. What is prob of picking 1 d, 1 u, and 1 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 divided by 142741?\nAnswer: 394\/142741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460903 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 118) + 175 + -51\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44512 divided by -11128\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18043594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 209058087.\nAnswer: 209058087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 - -254. Suppose 0 = -0*k - 4*k + h + t, 516 = 5*k - 4*h. Let x be (-4)\/(-6) - k\/(-12). Calculate the highest common divisor of x and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - (1 + -1)) + 15940 + -15953?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**6*j\/j**(-3\/7)*(j*j**1)**16*((j**(-1)\/j)\/j)**27*j\/j**(2\/7)*j**2 assuming j is positive.\nAnswer: j**(-349\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6)*12\/(-3). Suppose 0 = v*i - 4*i - 6. Let y = i + 8. Calculate the greatest common divisor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -272\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 29\/736?\nAnswer: 29\/736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {h: 2, y: 5, t: 4, o: 4, b: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 + 2*a + 1. Suppose -5*w = -27 + 7. Suppose -i - 1 = -2*x + w*x, 3*x = -5*i + 2. Let d be n(x). Solve 2*t = 4*t - d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213899167 rounded to the nearest 100000?\nAnswer: 213900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561919 is divided by 775?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -102, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 < 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 1078825?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 8*c**4 + 4*c**4 - c**4 - 7*c**4 + (4*c**2 - 3*c**2 + c**2)*(3*c**2 - 2*c**2 - 2*c**2) - 3*c**3 - c**4 + 3*c**3.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/5)*d))\/(d**(-4\/3)\/d*d)*d\/d**5*d\/(((d*d**(1\/4))\/d)\/d))**(-4\/9) assuming d is positive.\nAnswer: d**(43\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 114 = 4*d - 15, -2*d + 3*a + 59 = 0. Suppose 4*q = -i + 27, -d = -5*i + 2*i - 2*q. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1354 - -11?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -5*u, 5*u - 1 - 9 = 0. Suppose s*g = 11*g - 252. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -234\/213731?\nAnswer: -234\/213731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -309141, -618277, -927413?\n\"Answer: -309136*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5812623 divided by -113973\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - n**4 + (-2*n**3 + 3*n - 3*n)*(-4 + 2*n + 4) - 3*n**4 + n**4 + 0*n**4 - 1 - n**4 + 1 + 759*n**4 - 530*n**4 - n**3 - 209*n**4 + 65*n**2 + 9*n.\nAnswer: 12*n**4 - n**3 + 65*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 2*y + 6. Let r be h(5). Let z = r - -10. Let u = 1 + z. What is the greatest common factor of u and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = 2*y. Calculate the remainder when 34 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/668 and 34\/35.\nAnswer: 23380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 10 = 3*a + l, 0 = -5*a + 4*l + 28. Let x be 15 - (-4 + 16\/a). Solve 0 = 3*s + x, -3*k + 2*s + 11 = -8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r + 0*r**5 + 0 - 1\/6*r**3 + 19\/120*r**6 + 0*r**4 + 20*r**2. Find the first derivative of z(a) wrt a.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14380 - 12815. What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.6 + -1.4. Let c = 17 - 9. Let z = u + c. What is the closest to -1\/3 in -3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*v = 407 - 43. Let c(r) = r. Let d(s) = -2*s - 17. Determine v*c(n) - d(n).\nAnswer: -2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*s - 7, s + 27 = 3*n + 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -23. Suppose 0*m = 2*m - 4. Put -2, k, m in increasing order.\nAnswer: -2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 14. Let d be (-2 + (-2)\/4)*4. Let r be f(d). Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-25) - (-2)\/(-5). Suppose 2*d = -g*d - 6. Sort -2, d, 3.\nAnswer: d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*o - 0*u - 7, -3*u = 5*o - 5. Let j = o - -16. Suppose 5*l + 4*p = 56, -2*p = -0*p - 8. What is the highest common divisor of j and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 70*c**4\/3 + 1042*c**3\/3 + 3*c**2 - 9. What is the first derivative of i(k) wrt k?\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.04 and -116.729.\nAnswer: -108.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/11 (c) -1\/103 (d) 0.2 (e) 1187 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 109.2, -34, -137?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.6. Let n = c - -0.1. What is the second smallest value in n, 1\/2, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26974, 50 in decreasing order.\nAnswer: 50, -3, -26974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.429 (b) 3 (c) -0.5 (d) 3\/4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7961895 is divided by 3724?\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixakaaaaiaaxakia. What is prob of picking 1 x and 1 a?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -182 + 4?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyllxlxllxxx. Give prob of picking 1 l and 1 x.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 7. What is y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*v - 7. What is the least common multiple of 6 and (-2)\/1*v\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 3388843?\nAnswer: 3388842.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 times 185.84?\nAnswer: -34937.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 4*z + 3. Let w(b) = 8*b**2 - 7*b - 5. Let d(q) = 6 - 378*q - 4*q**2 + 764*q - 413*q + 8. Let n be d(-7). Calculate n*l(k) + 4*w(k).\nAnswer: 4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1652443 or 1652441?\nAnswer: 1652443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16969 (base 12) in base 16?\nAnswer: -7ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48980779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 1 = 0. Let c = -83 + 88. Let u be ((-3 - -5) + -1)*3. Solve u*i - v*i = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(288)) + 4)**2.\nAnswer: 192*sqrt(2) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29848\/(-1599)*3\/(-18)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -617292907042?\nAnswer: -617292907042.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -25 + 5. Let x = t + 8. Let v(a) = 2*a - x*a**2 - 2*a + 3*a**2. Let c(d) = -2*d. Calculate v(c(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007854656022 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(22\/(-33))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/3))\/n*n)**28*n\/((n*n\/((n*n**8)\/n*n)*n)\/n)*(n\/((n\/(n**(1\/5)*n)*n)\/n))\/n assuming n is positive.\nAnswer: n**(683\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7571989 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Suppose 4*l + 76 = 4*w + 2*l, 2*l + 55 = 3*w. Let m = p + w. What is the greatest common factor of m and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51344, 51332, 51306, 51260, 51188, 51084?\nAnswer: 50942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 1. Let v(w) = -345*w - 8. Determine 14*a(t) - 2*v(t).\nAnswer: 648*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 + 1226*k**2 - 196742*k + 2682030 = 0.\nAnswer: 15, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.60999139 - 13.61. Round u to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) 1\/2 (d) -3\/32 (e) -26 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 20 - (-18 - -18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1897*d**2*k**3 + 9561*d**2*k**2 - 2*k**6 wrt k.\nAnswer: -11382*d**2 - 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -35. Let n be 36\/20*40\/(-24). What is the closest to n in 2\/3, h, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65014044, 130028089, 195042134, 260056179, 325070224, 390084269?\n\"Answer: 65014045*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -173*m - 129*m - 6417 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/1000*-10*5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.197104 and -5204.03.\nAnswer: -5204.227104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**3\/2 + 12*u**2 + 22*u. Let l be b(-8). Suppose l = 7*z - 4*z. Solve -4*d - 1 = -3*q + 2*q, z = -d + q - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**3\/5 - 208*k**2\/5 + 228*k - 1656\/5 = 0.\nAnswer: 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 5 - (-6 - (17 - 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 - 1394*f**2 + 6*f**3 + 1395*f**2 + 17 as p*f**3 + y*f**2 + h*f + j and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733995635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1700100 divided by -6\nAnswer: -283350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 142*h - 1. Let d(n) = n**3 - 6*n**2 + n - 7. Let q be d(6). Let y be 5\/(-5)*q\/1. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-291)\/(-1261) - 323710\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 - 3*x**3 + 54455410*x**2 - 254615801*x wrt x?\nAnswer: 24*x**2 - 18*x + 108910820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + 50f3cf?\nAnswer: 50f3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - (-3)\/9*0. Let x be -2 + (4 - (-1 - 0)). Suppose 3*r - 4*b = 52, -116 = -4*r - x*b - b. What is the greatest common divisor of r and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*m - 147 + 205*m + 147 + 62739*m**2.\nAnswer: 62739*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2 - 1)*(-4)\/(-4). Let m = -20 + 23. Put 2, 0, m, w in increasing order.\nAnswer: w, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431782391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -1225252243?\nAnswer: -1225252204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-2)\/(-5))\/((-152)\/(-95)). Let o = 3 + -3. Which is the closest to o? (a) n (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 731501*n\/2 - 16823465.\nAnswer: -(n - 731455)*(n - 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/15 + 3*x**4\/8 - 3*x**2 + 5*x. Let l(s) be the first derivative of c(s). Find the second derivative of l(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c**2. Let u(y) = 15631*y + 13. Calculate u(z(j)).\nAnswer: -234465*j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 5952 + 2403 = 0. Which is smaller: f or 172?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-1*-5*sqrt(2299)*2*5 + 5)*1)*-1)**2.\nAnswer: 6600*sqrt(19) + 5747536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 33*u + 47 = 38*u, -5*a - 5*u - 962 + 787 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.4 (c) -2 (d) 24 (e) -0.36 (f) 3 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 851354.1 microseconds?\nAnswer: 851354100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**3 + 8*z**3 + 13*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-504)*(-9*3)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1970 = 2*a - 58*p, -1783*p = 3*a - 1779*p - 139 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4091869623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**2 + 0*v**2 + 12*v - 60 + 55 + v**3. What is the tens digit of s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**40)**(-3\/19) assuming a is positive.\nAnswer: a**(-120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1894, 1\/4, -9, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + g + g - 4, 5*j - 3*g = 0. Let u be j + -1 + 2 + 1. Let v = 4 - 7. Put v, u, 0.1 in increasing order.\nAnswer: v, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/9937 + 49421\/1311684. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132, -2645, -3158, -3671, -4184?\nAnswer: -4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13956*a + 6966*a + 6989*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 69*s**2 - 137*s + 248. Give g(67).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -73, -101?\n\"Answer: -28*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1.0632956.\nAnswer: 8.0632956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -25004\/391?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -919827*o*t + 372651*t wrt o.\nAnswer: -919827*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9496752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-100))\/(1\/10*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 567 - 565. Suppose -l*b + 4*r + 1574 = 0, 2*r + 3*r + 3920 = 5*b. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.4, 43, 2 in descending order.\nAnswer: 43, 2, -0.07, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-692*l - 351*l - 745*l + 1144*l)*(-3*l - l + l)*(-4 + 4 - 2).\nAnswer: -3864*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-26)*(-454)\/8172?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 - c - 12. Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:53 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16460.970964 - -16461. What is h rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvcbvbbvbccvbbvc. What is prob of sequence cbc?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 + -47. Suppose -o = -3*c + x, -c = 2*c - 2*o - 102. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -72b94?\nAnswer: -72b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 156859*l - 3137596. Give o(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57491953 and 238923?\nAnswer: 8849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 30 - t + 22 - 43 + 2*t. Determine z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2111689305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -125*l**3 - 765*l**2 - 1215*l - 135 = 0?\nAnswer: -3, -3\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*l - 42 - 5, -3*b + 4*l = -157. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6584 (base 9) to base 16\nAnswer: -12f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21041, -2\/11, 2\/7, 0.2, -1 in descending order.\nAnswer: 1, 2\/7, 0.2, -2\/11, -1, -21041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/20)\/(4\/((-120)\/18)). Let i = v - -3. Which is the nearest to -1\/4? (a) i (b) 1\/5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5883 in 4, -4, -22\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -25, -58, -125, -238?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from kkss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8, -2, -1.43 in descending order.\nAnswer: -1.43, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*h**2 - 19*h**2 - 7*h**2 - 15*h**2 as t*h + l + q*h**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*t**2 - 911*t**2 - 627*t**2 - 202*t**2.\nAnswer: -2311*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72475 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-20))\/((-1)\/30). Suppose 2*d + 2*d - 12 = 0. What is the remainder when d + 1\/(1\/n) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:03 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*t**5 - 7*t**4 - 1373*t**2 wrt t.\nAnswer: -480*t**2 - 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/474 and -85\/2562.\nAnswer: 202398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + -10.3. Let g = b + 11. What is the nearest to 0.1 in g, 3, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867, -877, -911, -981, -1099, -1277, -1527?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 629*n**2 - 85*n. Let s(b) = -15*b**2 + 2*b. Let x(o) = 85*s(o) + 2*u(o). Let v(a) = a**2. Give v(x(m)).\nAnswer: 289*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 4}. What is prob of picking 3 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281058 and 80880.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 12. Let l be k(-4). Let s(v) = -6 + 12*v - l*v + 5*v. Calculate s(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.31498 rounded to 1 dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**3 - 7*h**2 + 5*h + 6. Let g(r) = -20*r**3 + 20*r**2 - 14*r - 17. Let t(d) = 6*g(d) + 17*v(d). Let c be t(-1). Sort -5, c, 3 in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = 677*p - 679*p, -p - z = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -5.\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 4*t + 3. Let o = 8 + 2. Suppose 2*b = -4*c + o, 0 = 4*c - b - 16 - 3. Is 10 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 155 = -3*l - l, 0 = -3*l - 5*w + 145. Suppose -5*s + 77 = -4*r - 38, -2*r + 115 = 5*s. Let j = l - s. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -58*k - 2. Let w be q(-2). Suppose -2*n = 5*v + 87, 0*n + 2*n = v - 93. Let x = w + n. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1, -0.1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + (-2 - (-10 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n\/n**(-8))\/(n**(2\/3))**40)\/(((n**(-1)\/n)\/n)**(-7\/2)\/(n**2*n**0)) assuming n is positive.\nAnswer: n**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*j**2 - 156*j**5 - j + 24*j + 19*j**2 + 6*j**3 + 155*j**5 - 4*j**4 + 4*j.\nAnswer: -j*(j - 3)*(j + 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*h - 28 = 0, 2*t + 0*t + 2*h = 4. Suppose 91 = -t*n - 105. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ruurru?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3 - 258*u**2 - 3*u + 17947 wrt u.\nAnswer: -3*u**2 - 516*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -54*w + 2266. Let p be q(42). Sort 2, -944, 0, p in increasing order.\nAnswer: -944, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**6*d**(1\/3)*d)\/(d**(-1\/5)*d\/d**(1\/5)) assuming d is positive.\nAnswer: d**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 118. Let u be 10\/(-4)*g\/30. Is (-262)\/(-8) - u\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from auuumsmusmuums?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, -35, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 326*f**3 + 40656*f**2 - 585640*f\/3.\nAnswer: 2*f*(f - 242)**2*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8386 and -0.7.\nAnswer: 3.38702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = 12*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-2812)\/(-444) + (-6)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94860.95493 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -740*x**2 + 3*x - 3*x + 1183*x**2 - 442*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y + y**3 + 5*y**2 - 2 - 4*y + 15*y. Give a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -25\/2*u**2 - 25*u + 1\/24*u**4 + 1\/6*u**3 + 0. Let z(o) be the first derivative of c(o). Calculate z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 + -2.2. Let q = 6.9 + -7. Sort q, k, -3\/2, -5 in increasing order.\nAnswer: -5, k, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -2. Suppose -5*x = b - 2, -2 + 12 = 5*b. Sort -2, x, n.\nAnswer: -2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/27 and -137\/264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25 - (-1485)\/63)\/((-5)\/14). Solve j*z - 10 = -5*g, 5*g - 43 = -3*z - 33 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16 - 66 + 39*d**2 + 0*d**2 wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5033615*v - 1859*v**3 - 5033615*v.\nAnswer: -1859*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/36330 and -6\/895?\nAnswer: 6503070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -29*w**6\/30 - w**3\/6 + 30*w + 22. Let d(o) be the first derivative of c(o). What is the second derivative of d(v) wrt v?\nAnswer: -348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011286689 rounded to 5 dps?\nAnswer: -0.01129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.4 + 9. Let c = -3 + 5. Let j = d - c. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**2 + 6*h + 2. Let k(j) = 13*j**2 - 12*j - 3. Let q(x) = 11*a(x) + 6*k(x). Let f be q(6). Solve 2*n - f*n - 4 = 0, -p = -n - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4783104ml?\nAnswer: 0.0004783104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283844 + 283823 = -7*a. Let v(h) be the second derivative of 0*h**2 + 16\/3*h**a - 6*h + 0. Let m(r) = r. Give m(v(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2662*o - 2667*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6, v: 13}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(3*j**4 - 3*j**4 + j**4) - 4*j**4 + j**4 - 6*j**2 - 1 + 2*j**4 + j**3.\nAnswer: -3*j**4 + j**3 - 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 11*m**2 + 11*m - 17. Let p be l(11). Let s = 106 - p. Which is the nearest to s? (a) 3 (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*i - 37 = -18, -4*r + 5*i = -22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -251*o**4\/4 + 144*o + 222. Find the first derivative of q(t) wrt t.\nAnswer: -753*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvkd when four letters picked without replacement from {v: 2, d: 3, n: 4, t: 4, k: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 113916416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493240824.\nAnswer: 2, 3203, 97301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9203*m - 377316. What is a(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 7*r**3\/6 + 63*r**2\/2 + 8573*r. Calculate p(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let w(p) = -p. Let u be (-1)\/((-20)\/15) - 1\/(-4). Let f(r) = -r**2 + 19*r - 40. Let x(b) = u*f(b) - 3*w(b). Let z be x(20). Calculate o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*s**2 + 9*s**2 - 4*s**2 - 5*s**2 + s**2 + 3*s**2 + (1 + 2 - 2)*(0*s**2 - s**2 - s**2))*(-1 - 1 + 0) in the form c*s**2 + a + p*s and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = 0. Suppose -2*i + 6 + 26 = c. Solve -2*d + 3*z - 6 = i, 6 = 2*d + 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517 - 517 + 21*h)*(-6*h - h - 2*h).\nAnswer: -189*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.2 (c) 1\/6 (d) 0.01 (e) 99 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/488 and 149\/36.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111131040 (base 6) to base 7.\nAnswer: -23103465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k)\/(k*k\/((k**7*k)\/k)))\/(k**(-1))**(1\/49))\/((k\/k**(-1))\/k**(-11))**(16\/7) assuming k is positive.\nAnswer: k**(-1063\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + 31. Calculate the remainder when 15 is divided by (9\/2)\/(51\/o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miwm when four letters picked without replacement from {m: 3, w: 2, i: 1, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -86988068 rounded to the nearest ten thousand?\nAnswer: -86990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + sqrt(847) + 2))*-4.\nAnswer: 8 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 1733 + 1837 = 0. Suppose -3*t - 3*q - s = 0, 2*q + 46 = -5*t - 313. Let j = 101 + t. Calculate the greatest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 10*w + 72. Let c(b) = -1. Let i(j) = 4*j - 20. Let r(n) = w*c(n) + i(n). Let z(t) = t - 5. Determine 4*r(q) - 11*z(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4172 is divided by 520?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(((k\/(k\/((k**(-25)*k)\/k*k)))\/k)\/k))*k))**(4\/3))**(-44) assuming k is positive.\nAnswer: k**(-4576\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 2, h: 1, w: 2, z: 1}. What is prob of sequence rh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149465.\nAnswer: 5, 167, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 22783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.16613 millilitres to litres.\nAnswer: 0.00916613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - 0 - (-9 + 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.63, 5, 2\/9, 4, -5.\nAnswer: -5, 2\/9, 0.63, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxospkrkr. Give prob of sequence so.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4\/49 (c) 1\/53 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/16 + 53*q**3\/12 - 115*q**2 + 1300*q + 5657. Factor b(x).\nAnswer: -(x - 20)**2*(x - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*q**3 - l*q + 941037*q**3 + 3188135*q**2 wrt q?\nAnswer: -6*l + 5646222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5902*o**2 + 6. Let p(w) = w**2. Calculate n(p(b)).\nAnswer: 5902*b**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31924, -31996, -32068, -32140, -32212?\n\"Answer: -72*o - 31852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -476 + 1406. Which is smaller: l or 931?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 44. Calculate the smallest common multiple of l and (0 - 1)*6\/(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44168.3 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -30. Let s(f) = 11 - 2 - i - f. Calculate s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*a + 12*a - 10*a)*(-3 - 2 + 2)*(-1 + 0 - 2) + (1 + 0*a - 4 + a)*(-4 - 3 + 4) to w*a + j and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 10. Suppose 3*d = -15 - 3. Let q be k(d). Solve -i - q = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(-20)\/(d**(-2)\/d*d\/(d\/d**(-7)))*d**(1\/2)*d\/(d*d**8)*(d**1\/d)**0 assuming d is positive.\nAnswer: d**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 44 = q. Let y(o) = -o**3 + 11*o**2 + 11*o. Let s(p) be the second derivative of p**4\/6 + p**3\/3 - 125*p - 2. Calculate q*s(w) - 4*y(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758862104?\nAnswer: 2, 3, 373, 196477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 1, -28, -81, -164, -283, -444?\n\"Answer: -h**3 - 3*h**2 + 5*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1917)\/284*-4*16\/3. What is the highest common divisor of 192 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 20, 29, 38, 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 19*u**2 - 2*u**4 + 2 + 3*u**3 + 6*u + 20*u**2 - 6*u in the form y*u**4 + g*u**2 + p*u**3 + c + r*u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*(-7 + 52\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let x = 1.6 - k. Let u be (-8)\/14 + (-10)\/(-35). What is the third biggest value in x, 1, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(1216))**2 + -1*(sqrt(19) + 1)) + (-3*((sqrt(1539) - (1*sqrt(1539)*-6 + sqrt(1539))) + sqrt(1539))*5)**2.\nAnswer: -6*sqrt(19) + 16996653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose p*a = 6*a. Suppose 5*d = -a*d + 25. Solve 3*i - 23 = 5*n - 0*i, -4*i = d*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 289*g**4\/20 - 1003*g**3\/15 + 212*g**2\/5 - 48*g\/5 + 40. Find o such that m(o) = 0.\nAnswer: 4\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 + 222. Let l = 28 + 0. Calculate the smallest common multiple of r and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-2*b**2 + 0 + 0) - 1093 + 453*b**2 + 1093 + (2*b - 4*b + b)*(1 - 1 + 2*b) - 4*b**2 + 5*b**2 - 3*b**2 + b - b + 2*b**2.\nAnswer: 449*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 + i + 1. Let m be c(2). Suppose 0 = a - m*a + 64. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-12)*(-1)\/(3*6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 4) to base 12\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*d = 6, -2*o + 2*d - 15 = -3*d. Suppose -12*v = -11*v. Put o, v, 5 in descending order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-16)\/6 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1424205 divided by -31649\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-2*a**2 + 0 + 0)*(2*a - a + 4*a) to the form k*a**3 + o*a**2 + h*a + t and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in hours?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 77 + 85. Solve 5*p = 2*s + 14, 4*s = -d*p - 0*p - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451189.8 grams in nanograms?\nAnswer: 451189800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let g be d(-3). Suppose -2 = -5*m + g*m. What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1435.134 centimeters?\nAnswer: 14.35134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5828 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.41519157 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m + 5. What is the tens digit of t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/683 at most -81008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d77 - -e?\nAnswer: 1d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 10386181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -31764424.92171?\nAnswer: 31764429.92171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532508466 to the power of 1\/2, to the nearest integer?\nAnswer: 23076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 + 160 - 497 + 168 + 19087*f)*(-f**3 - 3*f**2 + 3*f**2)*(-f + 2*f + f).\nAnswer: -38174*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63104 and 49155058.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5 + 28*z**4 - 66*z**3 - 28*z**2 + 64*z = 0. Calculate z.\nAnswer: -16, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 356\/3 + 3\/9. Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235*(-32)\/560*(-28)\/32*4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10101 + 231?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - ((14 - 28) + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*z = -110*z + 72 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -7. What is the least common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18242.\nAnswer: 2, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 5*d - 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -56. Suppose p - 4*p = -d. Let o be p*((-9)\/(-6))\/1. Solve 0 = -0*t + 3*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707314 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4418983088.\nAnswer: 2, 13, 21245111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - 0) + -40 + 46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 0. Solve r = 5*i + 1 + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 25*y**4\/6 - 113*y**3\/6 - 2*y**2 + 8. Let q(p) = 100*p - 114. Let b(o) = -2*q(o) + 3*s(o). Differentiate b(r) wrt r.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 39 + 39. Let f(j) = 8*j**2. Determine o(f(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16243077 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 6 (c) 52 (d) 0.5 (e) -3\/2 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 6, 5*o - 73 = -3*y + 143. Let d be 5\/o + 2\/(-6). Let k = -0.23 - 0.07. What is the nearest to k in d, -5, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from qqpdfnd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 257313.4944 to the nearest 1000.\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(-1 + sqrt(539) + sqrt(539)))**2.\nAnswer: -504*sqrt(11) + 38826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 83) + 64 + -1 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 7*g**3\/6 - g**2\/2 - 2*g. What is y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 274\/3. Determine l, given that 686\/3*l**4 + 0 + g*l + 196*l**3 + 56*l**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.157 + -10.1630072. Let h = -0.006 - n. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 20*p = -2196. Differentiate -3*i + 58 - 24 + p*i**3 - 545*i**3 + 54 with respect to i.\nAnswer: 12*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*29.032.\nAnswer: -145.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 18*f - 238 + 16 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -207558016737 minus 0.28?\nAnswer: -207558016737.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15029, 15051, 15089, 15137, 15189, 15239, 15281?\nAnswer: 15309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137475 by -15.\nAnswer: -9165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q - 6 = -5*o, 3*o - 8 = -2*q. Suppose -7*w + 208 = w. Let m = 28 - w. Solve 0 = 5*f + 2*x - 0*x - q, -4*f + m*x - 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 2\/(-4)*24\/(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(112) - sqrt(112))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/12786 and -151\/5229474.\nAnswer: 5229474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 39*v**8\/28 + 289*v**5\/30 - 75*v**2 - 3. What is the third derivative of w(n) wrt n?\nAnswer: 28080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/4 - 13*c**3\/3 - c**2\/2 - 6*c + 256. Give q(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(684) + sqrt(684) + (-1 + sqrt(19) - sqrt(19))*-5 + (sqrt(1539)*2*-3 - sqrt(1539)))*5)**2.\nAnswer: -12750*sqrt(19) + 1236100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:46 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/22106937 and -10\/57133.\nAnswer: 2144372889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 614084*f**2 + 47135552576*f - 282835422912.\nAnswer: 2*(f - 6)*(f + 153524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-74)\/(-1110)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/10)\/(6\/15). Let c = -9 + g. Is 6\/(3\/(15\/c)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 - 8*b - 8. Let f be o(7). Suppose -f + 80 = 3*y. What is the second smallest value in -15, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 69*s - 107156 = -29*s. Calculate the highest common divisor of s and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*d*h**2*j - d*h*j - 152*d*j + h**2*j + 44*h**2 + 36*j wrt h?\nAnswer: 94*d*h*j - d*j + 2*h*j + 88*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36420*j**2*k + 10568*j**2 + 846456507*k wrt j?\nAnswer: 72840*j*k + 21136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(sqrt(242)*-2 - sqrt(242)).\nAnswer: -33*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310021 (base 4) to base 15.\nAnswer: ec7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(48)\/(sqrt(60)\/sqrt(5)))\/sqrt(2) + (-2*sqrt(144))\/(2*-1*sqrt(2)))**2 + 4.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 14*r**2 - 7*r - 4. Suppose 2*g = -3*d - 29, 4*g - 3*g + 2 = d. Does 5 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**7\/2520 - x**6\/90 + x**5\/40 + 49*x**4\/12 + 45*x. Let g(j) be the third derivative of f(j). What is g(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*t + 12 = 0, 472*k - 469*k + 6 = -t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(-2*f - 3*f + 4*f + (5*f - f - 6*f)*(-2 + 1 - 1)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9640 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, 48 in ascending order.\nAnswer: -4, -2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3136 * 89\nAnswer: 279104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 667.7734761 to 1 dp.\nAnswer: 667.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*r - 11*r = -3059. Let d(y) = -y**2 - y + 27. What is the remainder when r is divided by d(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 + 286 + (-8 - 0 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 9*r**3 + r + 2 wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n + 11*n + 102. Calculate the highest common factor of 402 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 163, 142, 105, 46, -41, -162, -323?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in millimeters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 5, 15, 25, 35, 45?\n\"Answer: 10*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7044 - 6680. Let w = 799 + -434. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55189.82474 - -55189. Round p to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 23*u**2 + 20*u - 50. Let a be n(-22). List the prime factors of 4\/a + 1184\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 33. Let g be b(23). Let m = -1351 + 1627. What is the greatest common divisor of g and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -0.2 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**7*g*g))\/g**2)\/(g**(-3\/8)\/(g\/g**7*g))*(g\/(g\/g**(-9)*g)*g**9*g)**(-1\/23) assuming g is positive.\nAnswer: g**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (297\/(-165))\/((-6)\/(-4))*(-20)\/(-42)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 15*c + 13. Let t(v) = -6*v**3 - v**2 + 2*v - 1. Let x be t(1). Let b be o(x). Let z be 14\/(-21) + 2\/3. Sort b, z, 3.\nAnswer: b, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 0*o**2 + 3*o**2. Let f(w) = -55696*w**2 - 55530*w**2 + 111277*w**2. What is f(n(u))?\nAnswer: 1275*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - w + 2461 - 2472 = 0, -w - 31 = 8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-1) - (6 - 6). Suppose 5*m - 4*y = 196, -m + 2*y + 58 = w. Calculate the highest common divisor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 502 by -61.\nAnswer: -502\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/18)\/(13\/117)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-35)*(71 + -85)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -14 - 1. Let k(d) = 1. Let j(u) = -3*u + 7. Let r(m) = w*k(m) + j(m). What is the units digit of r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*g - 1137*g - 7150 = 0 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:01 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21201 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -115*z. Let t(r) = -r**2. What is t(c(p))?\nAnswer: -13225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -238.0469 from -0.060441.\nAnswer: 237.986459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-42)*(-3)\/(-5)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1072339 - -2053580. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-32))\/(9\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5151303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 - (3 - 0))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975 a factor of 6137425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00386253711 to 5 decimal places.\nAnswer: 0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 12.998, 1, 32.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 20*h**3 - 2*h**2)*(h - 5*h + 2*h) - 14*h**4 - 2*h**4 + 0*h**4 + 0*h**2 + 2*h**4 + 0*h**2.\nAnswer: -54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370 is divided by 348?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 3*o + 2. Let r be l(-2). Let w be (13 - (5 + -2 - 4)) + 0. Let v = w + r. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366833?\nAnswer: 19, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 1231\/9. Suppose 5*r - 21 + 1 = 0. Suppose 6*g + 4 = 2*g. What is the closest to g in l, -0.2, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = -4*u - i, 8 = -4*u - 4*i. Let q be -12*-2*u\/(-4). Let k(p) = -16*p**2 - 158 + 17*p**2 - 158 + 313 - 7*p. Calculate k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/48 and 41\/7984.\nAnswer: 23952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/3 - 1929238*v**3\/3 + 1929242*v**2 - 5787730*v\/3 + 1929244\/3 = 0.\nAnswer: -964622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.867618 centuries?\nAnswer: 9441.1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 625513 - 622489.67. Let w = 3045 - p. Round w to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56475 and 651345?\nAnswer: 9770175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let s(w) = 0*w**2 + 3*w**2 - 2*w**2 + 4*w**2. Calculate z(s(l)).\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3\/5 (c) -1\/7 (d) -0.0255\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(567)*-2 - sqrt(567)) - sqrt(567))**2*1.\nAnswer: 360*sqrt(7) + 9099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 - 17*z + 1. Is w(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 + 0*q + 1\/6*q**3 + 0*q**4 + 1\/15*q**5 - q**2. What is the derivative of k(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4512 is divided by 173.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16054 and 1794.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 - 131674*h**2\/7 - 526672*h\/7 - 526664\/7 = 0 for h.\nAnswer: -65833, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 310 - 295. What is the lowest common multiple of s and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let m(y) = -26040640*y. Give m(k(h)).\nAnswer: -52081280*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4537478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/13 + 240620*s\/13 - 80206\/13.\nAnswer: -2*(s - 40103)*(3*s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312346968?\nAnswer: 2, 19, 37, 411157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2506.2? (a) -0.1 (b) 1 (c) 9 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(1 - 4 + 5)*(-1 + 0 - 2)*(-23 - 8 - 7)*(-7*u**2 + 4*u**2 + 4*u**2).\nAnswer: -456*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 + 6*x**4 + 3*x**4 + (-7*x - x + 2*x)*(5*x**3 - 3*x**3 - 4*x**3) in the form h + a*x + l*x**2 + d*x**4 + k*x**3 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(-4*(sqrt(77)*2 + sqrt(77)))\/sqrt(7)*-2.\nAnswer: -144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (-173 + 215).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = 5*p. Is 265\/p*(1 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:44 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 6. Let p(y) = 4*y + 5. Let n(d) = -6*p(d) + 5*v(d). Let b(s) be the first derivative of s**3\/3 - s + 53. What is b(n(r))?\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -79070\nAnswer: -79069.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 29 = -5*m + 6, -2*m = -g + 8. What is the remainder when 26 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwwwwwwwwwzwwwwww?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 581.5352l?\nAnswer: 581535.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1134*n**5 - 108554976*n**4 - 2597896331222*n**3 + 1319586165092*n**2 - 197022391744*n + 9163849984 = 0. Calculate n.\nAnswer: -47864, 1\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 158. Determine g(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 - 7*m + 4*m**2 - m**3 + 0 + 0. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, 28, 96, 202, 352, 552?\n\"Answer: b**3 + 10*b**2 - b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 + 12*b + 15. Let j be n(13). Let c = -1916 + 1915. Sort 70, j, c.\nAnswer: c, j, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, p: 2, f: 1, e: 7, j: 2}. What is prob of sequence pe?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -469\nAnswer: -32.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -7, 2271, -0.1, 0.5 in descending order.\nAnswer: 2271, 0.8, 0.5, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from ooggggsggoogooogo?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 13*r**2 - r - 13. Let g(m) = m**3 + 6*m**2 - m - 6. Let y(i) = -5*g(i) + 2*w(i). Let d be (4\/2)\/(6\/9). What is y(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 36, 93, 176, 285, 420, 581?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/130)\/(81\/(-30) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t**2 - 5*t**2. Let z(f) be the second derivative of -f**5\/30 - f**2\/2 - f. Let k(o) be the first derivative of z(o). What is i(k(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778611846?\nAnswer: 2, 3, 129768641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 34881*b**3 + 1309*b**2 - 1309*b + 1309. Let l(c) = 160*c**3 + 6*c**2 - 6*c + 6. Determine -1309*l(q) + 6*x(q).\nAnswer: -154*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -229248?\nAnswer: -229248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 19. Let p be a(-10). Suppose 0 = -3*r + 15, -26 = 3*h - 0*h - 4*r. What is the third smallest value in p, h, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15426 = -376*l - 481*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142701, -142720, -142715, -142674, -142585, -142436, -142215?\n\"Answer: 2*h**3 - 33*h - 142670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3417794 divided by 2\nAnswer: -1708897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/54)\/((-16)\/(-6)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 143 + 0*x + 20*x - 143. Let c(m) = 5*m. Give c(b(z)).\nAnswer: 100*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9)\/sqrt(3)))\/(-1*sqrt(48)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/6 and -35\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 81209.51106 to 0 decimal places.\nAnswer: 81210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9313.726 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -32.\nAnswer: -32, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/420)\/((-1)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14831271.\nAnswer: 3, 7, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 2 + 239*a**4 - 86*a**4 - 75*a**4 - 69*a**4 - 3*a**2 as h*a**2 + z*a**4 + u*a**3 + k*a + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/2016 and 103\/15030352.\nAnswer: 1893824352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - -2) + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6*(k\/((k\/k**8)\/k))\/k)**(-6\/11)\/((k**(1\/7)*k*k**(-6)\/k)\/(k**7*k**(-2\/3))) assuming k is positive.\nAnswer: k**(926\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**3 - 412*m**2 - 422*m + 139. Calculate w(104).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4 - 12 = 0. Suppose -10*p = -k*p + 40. Sort -2, 3, p in ascending order.\nAnswer: p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5655 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:34 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6130)\/(-165) + -4 - 2\/(-3). Let p = -34 + f. Sort 3, p, -36 in ascending order.\nAnswer: -36, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let c = -1 - -2. Let b be w(c). Suppose b = 2*i - 2. What is the lowest common multiple of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(34)\/(sqrt(2)*-2 + sqrt(2)) - ((sqrt(2057)*-2 - sqrt(2057))**2 - -6*(-1 + sqrt(17))).\nAnswer: -18508 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*z + 168*z - 93*z + 4488. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2434.8 * 221.\nAnswer: -538090.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2989391270 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39877.5 - 39877.4420046. Let j = -0.058 + f. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = k - 104. Let a = -191 + k. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95770.5557 - 0.1\nAnswer: 95770.4557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1041804 and 18844.\nAnswer: 7292628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 2*h - 21, 26 = -44*r + 43*r - 3*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 188 - 1073 = 0. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-334 + 334 + 45*s)*(231*s**2 - 47*s**2 - 2440*s**2) to the form l + o*s + q*s**3 + u*s**2 and give q.\nAnswer: -101520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-10)\/(-48)*200\/(-5600)*-84.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.3 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10) + (-8)\/(9600\/14445) + 12\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 165. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a = 207*a + 685 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, 1\/2, 1, 4\/7, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 50. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 60 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and 411859.255?\nAnswer: 411860.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 2*v + 2. Let n be x(4). Let g = n + 14. Let m be (g\/(-10))\/((-4)\/10). Solve m*z = -5*r + 25, -4*r = -2*z - 1 - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3\/8 in descending order.\nAnswer: 4, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/217, 3, 0.1, 2\/3, -4.\nAnswer: -4, -2\/217, 0.1, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69 + 67154?\nAnswer: 670c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + -5?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - x + 1. Suppose 4*a - a = -42. Let j(i) = -i - 15. Let z be j(a). Let c(y) = 8*y**2 - 6*y + 4. Calculate z*c(t) + 6*m(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/14)\/(819\/(-546))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiidinnidndd. What is prob of sequence in?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/144503 and 0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/4 + 35*m**3\/6 + 48*m + 1. Does 26 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let v(x) = 57*x**2 + 2864. Determine v(y(f)).\nAnswer: 57*f**4 + 2864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4 (c) -46\/3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/40 and -57\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016 is divided by 600?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193 divided by -1115310?\nAnswer: 1193\/1115310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 289074 + 6*j**4 - 3*j**3 + 77*j**2 - 289074 as q*j**2 + l*j**4 + c*j**3 + o*j + i and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-43)\/(-1 + 2 + -2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + (-6)\/(-2). Let f = 70 + 15. Suppose 125 = i*d - f. Does 40 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) 4 (c) -0.4 (d) 0.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 514483405\/18 + -28591693. Let i = -9285 - j. What is the common denominator of i and -53\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let q = 0.9 - 0.8. Suppose 0*g = -4*g - 4. What is the nearest to q in w, -2, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 13*h**2 + 5*h - 15. Let j be c(-7). What is the tens digit of ((-15)\/(-2))\/(-5)*j\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 - 421. Solve 8*s - 6 = f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**2 + 945002*s + 236250.\nAnswer: 2*(s + 118125)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z, -3*o - z + 15 = -0*o. Suppose o*w = 44 - 24. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 62. Let f = 52 + u. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 25 = 5*p, -3*m + 10 = 3*p - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(3\/1*-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518409?\nAnswer: 3, 57601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j - 34. Let s be x(5). What is the highest common divisor of s and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.28 + -12. Let f = q + 0.02. What is the nearest to 0 in f, 1\/3, 3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(t**2 - 6*t**2 + 18*t**2) + 4*t**2 - 4*t**2 - t**2 + 4*t**2 + 3*t**2 - 6*t**2 + (0*t + 4*t - 6*t)*(-2*t - 1 + 1) - 3*t**2 + 2*t**2 + 0*t**2.\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2674 - -2677. Solve -2*d + 11 = -j*p + 32, 5*d = 4*p - 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-3 - sqrt(88))\/sqrt(8)*-1 + (2*(sqrt(11) + 2) - (sqrt(77)\/(sqrt(14)\/sqrt(2)) - sqrt(11))).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*6*(-3)\/30. Let m(o) = o**2 + 3*o + 4. What are the prime factors of m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**2*h**2*z - b**2*h*l*z - 16*b*h**2*l + 2*h**2*z + 68*h*l*z - 2*h*l wrt h?\nAnswer: -12*b**2*z - 32*b*l + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/8 - 3*g**4\/8 + g**3\/8 + 3*g**2\/8 = 0. What is g?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**13*q)\/q*q\/q**17*q**(2\/21)\/q**7 assuming q is positive.\nAnswer: q**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -77280*-7\nAnswer: 540960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0708 + -50.6708. Let u = 46.6 + i. Let o = -0.03 + 0.03. Which is the fourth biggest value? (a) o (b) -5 (c) 4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/11)*q**(1\/8))\/(q**(-1))**(-12)*(q*q**(2\/3))**(-5\/17)*q**(1\/9)*q**(-2)*q assuming q is positive.\nAnswer: q**(-179677\/13464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20898 divided by -27.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 2*p - 7. Suppose -3 - 7 = -5*o. Let u(v) = 2*v + 1. Let n be u(o). Is 4 a factor of b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197.8994098 + -197.9. Round s to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 134.71. What is t rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*g + 128. Suppose -4 = 13*x - 4. Suppose -8*v + g*v - 73700 = x. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2. Let r(s) = s**2 - 4. Suppose 0 = -4*u + 4. Let x be 1 - (2*-1 - u). Let c(t) = t**2 - 5. Let g(j) = x*c(j) - 5*r(j). Determine g(l(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029188072 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 6*n - 36. Let a(l) = -2*l**2 - l - 6. Let q(j) = -5*a(j) + x(j). Let o(h) = -27*h**2 + 2*h + 13. Give -4*o(g) - 9*q(g).\nAnswer: -9*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + 11845?\nAnswer: 11949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpbmmlmlbbmegb. Give prob of sequence lp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + k**5\/10 - k**4\/6 - k**3 + 834*k**2. Determine u(-8).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4667 equal to -4656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*b - 296*b = -5*d + 17, 5*b = -2*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-8) + 2 + -3. What is the closest to g in 1\/4, -3, 5\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328814334 to the power of 1\/2, to the nearest integer?\nAnswer: 72999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/12)\/(s**(-1\/15)*s)*(s**(-1\/10))**(-2\/3) assuming s is positive.\nAnswer: s**(-47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806335.\nAnswer: 5, 161267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*612\/(-136)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -24*o - 4. Calculate x(-4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, l: 1, j: 5, h: 2, i: 1}. What is prob of sequence hj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 828407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02168, 0.1, 4.4, 2\/27?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29420505, 58841008, 88261511?\nAnswer: 117682014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3, 8 in decreasing order.\nAnswer: 8, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093.091 centuries in years?\nAnswer: 509309.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/593, -145, -7 in descending order.\nAnswer: -21\/593, -7, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 50. Let m(z) be the first derivative of -4*z**3\/3 + 3*z**2 - 1. Let l(o) = o**2 - 1. Let j(v) = r*m(v) + 3*l(v). What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 13*s**2 - 8*s + 46. Let i be y(-12). Let x be ((2*2)\/(-2))\/(-29 + 24). Put i, x, -0.082 in descending order.\nAnswer: x, -0.082, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**3 - 615*v**2 - 56*v - 13. Give h(56).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078754 rounded to 3 decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.13, -15, 0.5, 0.3, 3\/2, 2.07?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/120*h**6 - 5\/6*h**3 + 3\/20*h**5 + 0*h - 262*h**2 + 0 - 17\/24*h**4. Calculate v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 136*n**2 + 3*n - 2. Let p(m) = -38*m - 28. What is p(o(q))?\nAnswer: -5168*q**2 - 114*q + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + 71.\nAnswer: 70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333.\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 equal to -10030\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l + 2869241 = 2872211 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 728\/(-234)*(-54)\/(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030103 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50073276?\nAnswer: 2, 3, 11, 379343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/27 (b) 1204 (c) 0.5 (d) 0 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + o = 4*o - 12, -16 = -4*o. Suppose -2*g + 44 = -t*g. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 3*f + 3*f)*(-4 + 4 - 2) - 4*f + f + 0*f + 0*f - 3*f + 0*f to z + s*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1 + -29)*-2. Suppose 3*u - 9 = y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.874 + -0.126. Let p = -2.4 + 2.7. Which is the smallest value? (a) 0.2 (b) w (c) p (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1319.39 and -4.267.\nAnswer: -1323.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*g + 14, -30 + 3 = -3*t - 3*g. Suppose -281 = -t*c + 839. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = w + 5*g, -5*w + g - 7 = 33. Let t = -83 - w. Let b = t + 140. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 12*z**2 - 57*z - 42.\nAnswer: 3*(z - 7)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 69*z**4 + 348*z**3 + 156*z**2 - 576*z = 0. What is z?\nAnswer: -16, -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 0 + 5*h - 101*h**2 + 3 - 1.\nAnswer: -101*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*s**2 + 2\/9*s**3 - 4\/9*s**4 + 2\/9*s**5 + 0*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204218 is divided by 68055?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 2*m**4 - m**4 + (6*m - 3 + 3)*(3*m - m**3 - 3*m) + 2*m**4 + 1 - 1.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k - 6. Let u(v) = -9*v - 7. Let x be 3\/((-54)\/(-12)) + 38\/6. Determine x*n(s) - 6*u(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 41. Let y(t) be the second derivative of t + 0 + 1\/4*t**4 - 1\/10*t**6 + 1\/2*t**3 + 0*t**w - 3\/20*t**5. Suppose y(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 316*u**5\/5 - 844*u + 604. Differentiate t(k) with respect to k.\nAnswer: 1264*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*l**2 - 340*l**2 - 346*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.2. Let n be (1\/18)\/((-3)\/(-12)). Let x = -13754 + 13754.1. What is the biggest value in o, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*s = -16, 0*k - k - 2 = s. Let f = k - -8. Suppose -f*i + 5*z - 3 = 4, 0 = -3*i + z - 8. What is the smallest value in -0.2, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/11 - 1901\/(-11). Let i = v - 94. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119404150 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2\/(-4)*12. Let f = -4 + n. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.04 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9*(-684)\/2128. Put z, -1\/28, 4 in decreasing order.\nAnswer: 4, z, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:00 AM?\nAnswer: 555","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**3 + 41*f**2 + 38*f + 40. Let s(b) = 7*b**3 - 27*b**2 - 25*b - 27. Let g(d) = -8*s(d) - 5*x(d). Let v be g(12). Which is bigger: v or -11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let p = 1.3 - 1.1. Let w = f + p. What is the third smallest value in w, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4201?\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -739.9 from -0.50669.\nAnswer: 739.39331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92193064 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000454621532 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-10)\/(-4) + -2)\/((-3)\/(-4470))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/6 - 2*b**3\/3 + 11*b**2. Let a be w(-3). Factor a*y**3 - y**3 - 4*y**3 + 12*y**2 + 9*y.\nAnswer: 3*y*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1415 or -5655\/4?\nAnswer: -1415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 940 - 940. What is the closest to -0.3 in -2\/15, z, 2, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/4*(-128)\/(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 45 + ((-10)\/20 - (-15)\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aalaaaalla. What is prob of picking 2 l and 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -60*g + 2 + 9*g**2 + 58*g - 3. Let o be b(-1). What is the common denominator of (-9)\/(-15) + (-28)\/o and 71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5 - 3?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 0.83, 0.61, -1, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 257 + y**2 + 2*y**3 - 3*y**2 + 40*y - 258 in the form w + h*y + k*y**2 + n*y**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -2. Let o(a) = a**2 + 8*a + 10. Let j be o(y). Solve 5*u - 5*c + 1 = 26, -4*c - 16 = -j*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) 0 (b) -5 (c) 1\/3 (d) -17 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 20*d - 35. Let u = -3 + -15. Let m be w(u). Is m bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-5 + 4 + 4)) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*d + 15, 22*d - 26*d = 12. Suppose -530 = v*p - 2330. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-88) + (-732369)\/12)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*i**4 + 13*i**3 - 5*i**2 + 3290*i?\nAnswer: 216*i**2 + 78*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -120*m**2 + 16*m - 48. Give h(3).\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 4*b**2 + b + 16. Let g be y(5). Suppose 0 = -2*k + 4*k - 8. Suppose -k*p + 5 = 17. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1674580549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyeylebeeyybybb. What is prob of sequence bbye?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1750 + 1158548?\nAnswer: 1156688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddcdc. What is prob of sequence cd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 25. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 - 18*j**3 + 34*j**3 + 2*j.\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 18. Let k be (2 - i) + (-15)\/3. What is the nearest to 1 in 0.4, k, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -23, 58 in ascending order.\nAnswer: -23, -9, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-531)\/(-2) - 14\/(-28). Let o = -88 + s. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-567)\/63*-2*1\/3. Suppose -w - 1 = -3. Let v = -2 + w. Solve v = 5*h + 4 + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -12\/11, -3, 8?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 8}. What is prob of sequence jjq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 452, 426, 378, 302?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 5*s - 18, -2*a + 2 = 5*s. Suppose -19 = -3*p + s*p. Calculate the highest common factor of 209 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 - 1. Let q = -276067\/23 + 12003. Sort q, -0.1, 0.2, x in ascending order.\nAnswer: -0.1, q, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -1*(-2 + 7). Let x be ((-9)\/(-6))\/(1\/2). Solve x*b - 2*r = r + 21, 2*b + r = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 12:43 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -42.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 7*a - 68 = 0. Let z(c) = 5*c - 49. Let r = 45 - 26. What is the remainder when z(a) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1216) + 4 + 2*sqrt(1216))**2 + (sqrt(19) + sqrt(76)\/(3*sqrt(4)))**2 + -2*sqrt(684).\nAnswer: 180*sqrt(19) + 98899\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 10*b**2 - 14*b - 17. Let w be u(7). Suppose -w = -4*a + 3*z, 3*a + 10 = 5*a - 3*z. What is the remainder when 4\/14 + 542\/14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -69*j**2 - 6*j - 24. Calculate g(-2).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m + 2 - 7 - 3 - 12. Let i(l) = 23*l + 40. Suppose 0 = 3*f - f + 10. Let j(b) = f*t(b) - 2*i(b). Differentiate j(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 16*v - 44*v)*(68 - 92 + 53).\nAnswer: -667*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -5542742?\nAnswer: 5542741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 4, -4, -5, 6, 0, -15 in increasing order.\nAnswer: -33, -15, -5, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 15.6. Let z = 3 + -3.1. Let l = -274\/3 - -90. Which is the nearest to z? (a) -4 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -650, -2000, -4034?\nAnswer: -6752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10811 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5223 * -287.\nAnswer: 1499001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 w when four letters picked without replacement from wujjxuxxhjuxxxxujfj?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 5133 = -5241 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -1, -14, 0.3, 16\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31520230 + -31?\nAnswer: 31520155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -22.01717?\nAnswer: -0.2201717","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 67*p - 101. Is x(46) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*k**2 + 1458\/5 + 108\/5*k.\nAnswer: 2*(k + 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951609206.\nAnswer: 2, 2903, 163901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*32\/(-5376) + (-118)\/28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 0.18?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 74*z**2 + 54*z + 6. Does 30 divide i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) -19035 (c) 0.6 (d) -5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*q + 3. Let m = -69185 + 69191. Sort -1, 5, q, m in ascending order.\nAnswer: -1, q, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {u: 1, d: 5, v: 1, r: 1, n: 3, q: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22741.90735 less than 308?\nAnswer: 23049.90735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9510 by 4818.\nAnswer: 1585\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/210 + 11*k**6\/30 + 5*k**4\/24 - 5*k**3\/6 + 2*k**2 + 2*k. What is the second derivative of g(c) wrt c?\nAnswer: -12*c**2 + 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 2}. What is prob of sequence jh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 17*n + 20. What is the units digit of y(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*c + u = 379*c - 29, -4*c + 232 = -24*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 3540. Let i(t) = 77*t + 1. Give c(i(a)).\nAnswer: 77*a - 3539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387509, 775041, 1162575, 1550111, 1937649?\nAnswer: 2325189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 1)*(6 + 1 - 4) - 92 - 19 + 211)*(-1 + 1 + y).\nAnswer: 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0564 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 5. Let j be k(-4). Let w(y) = 7*y + 6. Let d(x) = -x - 1. Let l(r) = j*w(r) + 6*d(r). Let f(t) = -5*t. What is l(f(o))?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Let q(j) = -j + 17. Is 5 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -43 - (0 - 2) - -10 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -121*x + 113*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*k = -3511139 + 19749319 + 2743290. What are the prime factors of k?\nAnswer: 5, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 = -x, -52*i + 57*i - 21 = 2*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*q - 22*q + 2 - 4*q + (q + 2*q + 0*q)*(-4 - 1 + 3).\nAnswer: -55*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/(-800) - 309\/(-10))*108\/63.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 2.51. Let f = 43 - 57. Let x = f + 11. Which is the third biggest value? (a) -0.3 (b) 1\/5 (c) x (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/3 - m**4\/3 - 31*m**3 + 207*m**2 - 504*m + 432.\nAnswer: (m - 4)*(m - 3)**3*(m + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/3 - 129680*i**4\/7 + 2702438528*i**3\/21 + 1287343956*i**2\/7 - 606747010*i\/3 - 110326300 = 0. Calculate i.\nAnswer: -2, -3\/7, 1, 13895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19846 divided by -8.\nAnswer: 9923\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2187*i + 481097. Calculate f(-220).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440031013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voyjive. Give prob of sequence joe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, -6, -13.\nAnswer: -13, -6, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 9076.9?\nAnswer: -290460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -3278.\nAnswer: -87\/3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*s + 5, -4*s = -6*s - 4*d - 34 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {g: 3, e: 4, r: 2, m: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 9 = 4*p, 17 - 20 = 3*l - 2*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 + 46. What are the prime factors of q(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124 is divided by 2888?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-220)\/(-4) + 7 - -6. Factor -1420 + 195*d + 5*d**3 + 3980 + 765*d + k*d**2 + 52*d**2.\nAnswer: 5*(d + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 3*r + 3. Let p(a) = -9*a**2 - 3*a - 4. Calculate 4*p(m) + 5*x(m).\nAnswer: 4*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1073\/5 - 214. Let u be (198\/275)\/(((-4)\/5)\/(-2)). Factor -t*l**2 + u*l - 6\/5.\nAnswer: -3*(l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.14? (a) -3 (b) 1 (c) 4 (d) 115\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150 - -150.01. Let q = 0 + 1. Which is the nearest to q? (a) -4\/3 (b) -2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20) - 432\/(-1440)) + 132\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 - 819 = 154*i + 2217 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, -234, -1 in ascending order.\nAnswer: -234, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 506965*g**2 - 33462957*g + 552156759 = 0. What is g?\nAnswer: -507031, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4119, -9638, -15155, -20670, -26183, -31694, -37203?\n\"Answer: v**2 - 5522*v + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/8 of a week?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21185*t**2 + 7339*t**2 - 6918*t**2 - 6507*t**2 + 19988*t**2.\nAnswer: 35087*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((1 + 3 - (-4 + 14)) + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 15. Let d(y) = -33333*y + 5. Let t be d(l). What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 33*u**2 - 89*u + 181. Give i(7).\nAnswer: 1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.3. Let g = -91090 - -91090.3. Which is the nearest to l? (a) -2\/3 (b) -0.11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 3*c + 7 - 1. Let h be d(-10). Let g = h + 60. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 190\/(-232) + 8\/(-148) + (-1320)\/(-10730)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*q + 96, -4*q - 153 = 29*w - 34*w. Solve 0 = -11*s + 30 + w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7079223 and -31\/4.\nAnswer: 28316892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825266, 1650441, 2475616, 3300791?\nAnswer: 4125966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-4 - -26 - -19)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v + 1. Calculate the remainder when r(-5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2195\/7 + -313. What is the nearest to 1 in g, 7\/5, 2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-285702)\/(-1275) - (-4)\/(-50). Let t be (8\/(-70))\/(6 + h\/(-40)). What is the nearest to 0.1 in -0.01, t, 5, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 13970?\nAnswer: 1397d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/70 - a**5\/10 - a**2. Find the third derivative of j(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b**2 - 2*b + 2. Suppose 0 = 2*p - i + 3, -4*i - 3 = 1. Give q(p).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3107*r + 76177 + 33236 + 41652 + 41569 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-30)*2*1\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1606, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - u**2 - 15*u\/2 + 18.\nAnswer: (u - 3)**2*(u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -228, -836, -2104, -4272, -7580, -12268?\n\"Answer: -40*h**3 + 30*h**2 + 2*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a**3 + a**2. Calculate the remainder when 84 is divided by i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15))\/(-1 + -1 + 0)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27104)\/19360)\/((-1)\/15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -40226416\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-18) + (-2 - 0) + 34840\/31356. Let z(s) = s**3 + 6*s**2 + 6*s + 4. Let k be z(-5). Sort k, f, -2\/17, 7\/8 in increasing order.\nAnswer: k, -2\/17, f, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 8*j + 1. Suppose 0*y + 25 = -5*o - 5*y, 14 = -2*o + 2*y. Give r(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 4*d, -64*u = -19*u - 16*u - 27*u - 4*d - 52 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b - 156 = -156. Factor -2\/11*l**4 + 4\/11*l**2 + b - 2\/11*l**3 + 0*l.\nAnswer: -2*l**2*(l - 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:48 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*c*x**3*z - 7*c*x**3 - 52*c*x**2*z + 12*c*z wrt x.\nAnswer: 252*c*z - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (1*(sqrt(475) + sqrt(475) + 1 + sqrt(475))*1 - (-2 + 1 + sqrt(475) + 3)))**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25264161 times -0.25\nAnswer: 6316040.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 3*z - 5. Let m(a) = -22*a**2 + 23*a**2 + 3 - 4. Let j be m(2). What is the remainder when p(j) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 12*j - 1150. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23602 + -56.\nAnswer: -23658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -563824\nAnswer: 3\/140956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.74 - 18.84. Let d = b - -13.1. What is the closest to 0.2 in 1\/3, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(38\/10 - 1). Suppose 136 = 5*b - 74. What is the greatest common divisor of b and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 48*l - l + 12*l - 19 + l. Let s be 2 + (36\/14)\/(12\/56). Is g(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k - 3*h, -3*k + 2*h = 1 + 3. Solve 5*a - 4*f + 33 = k, -5*f + 15 = -a - 0*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1649 + -106.6849. Let k = d + -2.48. Let l = k + 106.2. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j - 4. Let m(f) = -12*f**2 - 39*f + 51. Let i(p) = -2*m(p) - 27*q(p). Factor i(d).\nAnswer: -3*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -53. Solve 0 = -s*t - 3 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a = -69*a + 144. Calculate the lowest common multiple of 417 and a.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/50)\/((-1)\/5). Let t = 5 - 3. Are t and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710 divided by 4.\nAnswer: -355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11334 is divided by 8009.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -308410*p*r**2 + 30*r**2 + 2*r - 94 wrt p.\nAnswer: -308410*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(1664))\/(4*sqrt(32)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -46017.271.\nAnswer: 9203.4542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a, -5*v - 3*a = -4*a + 22. Let u(l) = -l - 5. Let h be u(v). Let r = h - -2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25791, -25885, -26027, -26211, -26431, -26681, -26955, -27247?\n\"Answer: b**3 - 30*b**2 - 11*b - 25751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 3*c + 5*v, 5*v - 31 - 2 = c - 11 + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 - 7173*n\/7 + 1901824\/7.\nAnswer: -(n - 256)*(n + 7429)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 5:48 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h - 7. Suppose k = 20 - 9. Let s(y) = 22 + 16 + 25 + k*y - 57. Give -7*s(l) - 6*v(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -929, -928?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {t: 3, p: 12, a: 3}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28865\/28 - -1031. What is the common denominator of u and -115\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1 + -2) - -12. Suppose -5*h + i = 252. Let q be 4\/(-14) + h\/(-21). Solve v + q*v + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 45*m - 2. Let r(l) = -2*l**2. What is -5*r(i) + z(i)?\nAnswer: 8*i**2 - 45*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 9*j - 45*j + 4*j + 14*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-11 - 8) - 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2a62 (base 13) to base 2\nAnswer: 1100000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.11 (b) 89 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 38*m - 20. Suppose 4*n = -51 + 3. Let o be r(n). Solve -11 - 5 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2329*p + 1754.\nAnswer: 2329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 + 19*n**2 - 363*n - 1.\nAnswer: -40*n**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 324, 1159, 3360, 7611, 14596?\n\"Answer: 114*s**3 - s**2 + 40*s + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 8. Let q = l + -13. Which is the biggest value? (a) -4\/5 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.101, -381 in descending order.\nAnswer: 2\/19, 0.101, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -22, -7, 18, 3.\nAnswer: -22, -7, -1, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944983.\nAnswer: 13, 157, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 148084, 148084, 148092, 148114, 148156, 148224?\n\"Answer: m**3 - 2*m**2 - m + 148086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 1, i: 5}. Give prob of sequence jpi.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let v(b) = -675*b**2 + 225*b - 225. What is -225*h(l) + v(l)?\nAnswer: -675*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7770547 - 1.778. Round g to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/12 - 47*q**3\/6 + 2127*q**2. Let x(z) = z**2. Give k(x(g)).\nAnswer: 5*g**4 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b2 + -144d5?\nAnswer: -146a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 20*q - 14*q. Let y(c) = c**3 + 6*c**2 + 2*c + 7. Let j be y(-6). Let m be 4 + (-356 - (j - q)). What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 26976 = 62424. What is a rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 53. Let r be j(7). Let m be 6613\/(-68) - r\/(1 + 11). Which is smaller: -96 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 580)\/2*(-78)\/(-130). Solve -150 + k = -6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*m - 12 = -m, -5*x + 4*m + 55 = 0. Let j = x + -5. Solve 1\/3*k**j + 1\/3 - 2\/3*k = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -26 - 40. Solve 0*q + g*q = 9, -r = 4*q - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56034 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*x + 3824 = -759, -r = -2*x - 4618. Suppose r = -275*q + 279*q. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 778 + -381741?\nAnswer: -380852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 0.2, 1.11, -1\/6?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 (base 5) in base 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1\/s)*s*s**(-2\/7))**(-5))**7 assuming s is positive.\nAnswer: s**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -1 in ascending order.\nAnswer: -21, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*o)*(0*o - 7*o - 6*o) + 3*o**2 - o**2 - o**2.\nAnswer: 53*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103669 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1573*c**2 - 1597*c wrt c.\nAnswer: -3146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 0 (c) 2.82 (d) -212 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -1, -4.\nAnswer: -10, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 i when four letters picked without replacement from ttwimmwqqimmwmtmqtm.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*j + 2 = -0*x, j = 4. Let k = 2 + x. Solve -k*o - 2*v - v = -16, 0 = 4*o + 5*v - 24 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -0*z - 9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*m**5 - 192482*m**3 + 105837360*m?\nAnswer: 4260*m**3 - 1154892*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + (-24)\/10. Let f be 70\/28*(-3 - -1). Suppose 329 = 3*v + 317. Sort f, k, v in descending order.\nAnswer: v, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78061, 78062, 78063, 78064?\nAnswer: 78065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 20*k - 2. Let t(q) = -7*q. Give -2*a(m) - 7*t(m).\nAnswer: 9*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2275 = -0*r. Let t be (-2)\/(-6) + r\/(-21). Calculate the greatest common divisor of t and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21510.0363 - 21510. Which is the second smallest value? (a) -0.01 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -6775457462288.\nAnswer: -6775457462289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i + 15. Let s(k) = -21*k + 30. Let q(g) = 5*r(g) - 3*s(g). Calculate the remainder when q(11) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from nnboknh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**3 - 2*q**3 + 9045*q**3 - 18231*q**3 + 8222*q**3 + 1 - 2*q**3 - 1 + (2*q**2 - 2*q**2 - q**2)*(0 + q + 0))*(0*q - 3*q + 2*q).\nAnswer: 970*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10964 - -383926\/35. Let o = z + -6157\/770. Find the common denominator of o and 53\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 - 8*d + 2. Suppose -h + 0 = -7. Give p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - 1043\/(-57330)*67 - (-6)\/(-27) and 33\/245?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*1*sqrt(343) + -2 + 1 + (sqrt(343) + -2)*6)*3)**2.\nAnswer: -44226*sqrt(7) + 263736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19546 divided by -3774\nAnswer: -9773\/1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 899334031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 1\/8, 0.04 in increasing order.\nAnswer: 0.04, 1\/8, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22.5*-14544\nAnswer: 327240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x**(2\/23)*x)\/x)\/x)\/(x\/(((x*x*x**(-1))\/x)\/x*x))*(x*x**0)\/(x**(1\/3)\/x*x)*(x**3*(x\/x**(-2\/11)*x*x)\/x)**(-39) assuming x is positive.\nAnswer: x**(-153574\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhcu when four letters picked without replacement from whwcucwuwd.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*w - 0*w, 26 = q + 2*w + 35 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 - 58 = 3*c. Find the third derivative of -12*s**2 + 126*s - 2*s**3 - c*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m + 55. Let o be s(-7). Let t = 141 - o. What is the highest common factor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3169 is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987 - 4*y - 1966 + 979 - y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 18\/8)*(-48)\/36. Let s(y) = 20*y**2 - 7*y**2 + o*y - 7*y**2 - 7*y**2 - 1. Determine s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159086 is divided by 899.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 + -150. Let c be 5 - 3\/(h\/832010). What is c rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 + 5)*(u + u - u)*(-2 + 6 + 2).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7818.1801 - 20.193.\nAnswer: -7838.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 2, v: 5, f: 4}. What is prob of sequence jj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {f: 4, g: 2, w: 8, q: 1}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*a = 5*a + 828. Let x(k) = k**2 - 8*k - 2. Give x(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:05 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 113690000 rounded to the nearest one million?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 83, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*a - 31, 2*a - 5*a - 3*s + 24 = 0. Let v(l) = l**3 - 3*l**2 + 3*l - 3. Let w be v(3). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*q - m, 4*q - m + 18 = -3*m. Let k = -4 - q. Let d be (1\/2)\/(8\/16). Put -5, k, d in ascending order.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, s: 2, u: 10, z: 1}. What is prob of picking 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.7. Let b = 0.1 - k. Let p = -4.7 - b. What is p rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/30 + 19*w**4\/8 + 13*w**3\/6 - 56*w**2. Is b(54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102329*z - 63460 = -103999*z for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27208962*l**2 - 4*l**3 - 27208962*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 42. Let l = q + -8. Let n = l - 6. Solve n*j - j - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -14216\nAnswer: 25\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(7\/4)*s\/(s**(-2\/11)*s*s)*s*s\/s**(-3\/2) assuming s is positive.\nAnswer: s**(159\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263235 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13\/7 (b) -0.4 (c) 5 (d) 107 (e) 3 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -1\/4, 10.\nAnswer: -1\/4, -2\/23, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 16 = 0, 3*p - 16*g + 12*g - 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -10*w + 25. Let u(p) = 2*p**2 + 8*p - 4. Let o be u(-6). Let n = w + o. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217\/3*r**3 + 8 - 49\/3*r**4 + 188\/3*r + 430\/3*r**2 = 0. What is r?\nAnswer: -1, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2 - 5 = -3*x, -3*j - 2*x = -14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let l(a) = 2*a**3 + 39*a**2 + 23*a + 75. Let j be l(-19). Let m(o) = 32*o + 24. Give j*m(v) + 24*t(v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 585.2503 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -15*p + 13*p. Let x = 0 - p. Which is smaller: 1\/328 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -0.3, 7, -5 in descending order.\nAnswer: 7, 4, -0.3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28324 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 77*f + 75*f + 2 = 27*v, 3*v + 4*f + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 9439 - 9439.2. What is the closest to 0.1 in 248, 5, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323 - 323.00000152. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 1 - 19\/(57\/12). What is the common denominator of -51\/8 and 1\/(-36)*(714\/t)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 20*k - 143)*(-2 + 2 - 2) to the form t + s*k and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91298?\nAnswer: 2, 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158723 to the power of 1\/2, to the nearest integer?\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 2\/15*k**5 + 0 + 0*k**4 + 0*k**3 + 14*k + 1\/63*k**7 + 4\/45*k**6 + 0*k**2. Let g(x) = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335229003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is -327635 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24668574 or -24668578?\nAnswer: -24668578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*-1*6\/(-261).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56325.\nAnswer: 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/63? (a) 2\/3 (b) -65\/79 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**8\/26880 + v**7\/10080 + v**6\/2880 - v**5\/480 + v**4\/12 + 5*v. Let m(x) be the third derivative of c(x). Factor m(r).\nAnswer: -(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -183351455 and -357511?\nAnswer: 182993944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752387?\nAnswer: 3, 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 108*w**2 + 0*w + 14*w + 118*w**2 + 75. Is 24 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from qaauuuxauuqxaaaauu?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -502, 9610 in increasing order.\nAnswer: -502, 2, 3, 9610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 4*x - 2. Let p be j(4). Let b be p - -9 - (3 + -1). Calculate the greatest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 27 = -77*g + 73*g, -5*g = -3*m + 27. Which is the closest to m? (a) -3 (b) 97 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:25 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 7. Suppose z + z = y + 21, -3*y = 9. Let o(r) = -r**3 + 9*r**2 + 2*r - 5. Let a be o(z). Let d = 7 - a. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325) - (1 + sqrt(13) + sqrt(13))*-5.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 4*k + 3. Let h be s(1). Let j(a) be the third derivative of 0*a + 1\/20*a**5 - 1\/2*a**3 + 0*a**4 - 3*a**h + 0. Factor j(n).\nAnswer: 3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 1395, 2214, 3117, 4104, 5175, 6330?\nAnswer: 7569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14410 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*x**3 - 3*x**4 - 7*x**2 - 2*x**4 - 145*x**3 + 6*x**4 to the form b + m*x**3 + t*x**2 + p*x**4 + z*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)*-2)\/(2*sqrt(648)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 7 = 4*s - 29, 4*u = 4*s - 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.253 times -4?\nAnswer: -137.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8308 divided by 401\nAnswer: 8308\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a + 13 = 5*o, -7 = -2*o + 3*a. Solve 6*k - 12 = o*k + 2*t, 3*k + 9 = -3*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.057 (c) -2\/7 (d) 2\/29 (e) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 1. Let h = -2256 - -2257. Let d(j) = 23*j**2 - 2*j + 1. Determine h*d(m) - 2*a(m).\nAnswer: 21*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6*n + 28. Let q be m(9). Let y(t) = -3 - t + 4 - q. Give y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51577 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 783 - 8614\/11. Let a = 13 + -17. Let d = 3 + a. Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -280, 2, 8, 4, 0.2, 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u - 546. What is i(6)?\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1 (c) 4 (d) 0.2 (e) -696 (f) 5\/2 (g) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 - -412. Let l = f - 547.2. Which is the nearest to l? (a) -6 (b) -1\/10 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 84*o - 61. What is the units digit of d(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-135)\/35 - 1)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 81. Let m be (-20)\/(-6)*(-12)\/8. Sort 3, f, 4, m in increasing order.\nAnswer: m, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*h - 884 = 0, 5*h - 2*h - 3 = 0. Suppose -x + 764 = 2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 - 13*n**4\/6 - 14*n**3\/3 - 67*n**2\/2 + 4*n. Let w be a(-27). Let c = -883 + w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*t**5 + 810*t**4 - 810*t**4 + (-t**4 + t**4 + t**4)*(1 - 3*t - 1).\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578860 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, o: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -898\/1505 - 1\/301. Let u = 0.16 + 0.04. Let f = -76 - -80. Which is the closest to -2? (a) u (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = -21*y - 30. Solve -4*r - q = y, 3*r - 3*q + 18 = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261033.5 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 21*p**2 + 16*p + 25. Let a be x(19). Let j = a + -697. List the prime factors of j.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let m(g) = g**2 + g - 1. Let i = -3080 - -3082. Give i*l(y) + m(y).\nAnswer: y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 3*l**2 + 1. Let q(v) = 3*v + 32. Let b be q(-10). Give h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 0.2 (d) 1\/3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1066\/191 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59705 and -517.638.\nAnswer: -60222.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0110101 + 3.1110207. Let u = -3.1 + i. What is u rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, b: 2, i: 1}. What is prob of sequence ibt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u + 9*u + 20*u + 8*u. Let g(f) be the first derivative of f**3\/3 - 179. Determine g(b(q)).\nAnswer: 841*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 1105?\nAnswer: 1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Solve 4*m = -20, 2*d - k = 3*m - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g. Let w(c) = -125*c. Calculate w(u(m)).\nAnswer: -2250*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -1800. Suppose 2*u - c = -u. Suppose y + 5 = 0, 0 = -5*s - 4*y + 6*y + u. Is 22 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 6*s - 2. What is the remainder when 73 is divided by l(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -62. What is the third derivative of 30*v - u*v + 22*v**2 + 29*v - 27*v**3 wrt v?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(-1 - -3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9860259 micrograms to milligrams.\nAnswer: 0.0009860259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/32*(-20)\/(-70))\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5660\/3 + -1886. Suppose 4\/3*a**4 + 0*a**3 + 0 + 0*a + 0*a**2 - h*a**5 = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -3*c**2 + 1\/120*c**6 + 0*c + 1\/15*c**5 + 1\/3*c**3 + 0 + 5\/24*c**4. Find m such that a(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3718776*-4.\nAnswer: -14875104","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4.0000026. What is m rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 291, 289, 285, 279, 271, 261?\n\"Answer: -i**2 + i + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 5, 0.4 in increasing order.\nAnswer: -11, -3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 5. Let k be p(0). Solve 3*d - 5*q = -6 + 13, -k*q = 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 + -10 + -1993)*2\/(-4). Suppose 133 = 3*r - w. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 560, 1260, 2232, 3470, 4968, 6720, 8720?\nAnswer: 10962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 1. Let j be m(2). Let i(q) = -4*q**2 + 26*q + 53. Let a be i(8). Let n = 5 - 6. What is the closest to a in j, n, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 6242.\nAnswer: -9\/6242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15622251 or 15622249?\nAnswer: 15622249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-6)\/72)\/((10620\/(-280))\/59)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 18*b**2 + 93*b - 104. Let w be o(22). Let g(p) = p - 1. Let z be g(6). Solve 4*j = -w*l + 2*l - 12, -15 = z*l + 4*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by 98?\nAnswer: 113\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29602059329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1298025 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425)*1 + -2*-3*sqrt(425) + sqrt(425))**2 + (3*(sqrt(425) + sqrt(425) + 2*(sqrt(425) + -1) + sqrt(425)))**2 + 5.\nAnswer: -900*sqrt(17) + 122866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/6)\/a*a**(-5\/2) assuming a is positive.\nAnswer: a**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**(-1\/2)*k)\/k*k)*k\/(k\/(k\/(((k**(-10\/9)*k)\/k)\/k))) assuming k is positive.\nAnswer: k**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053686.\nAnswer: 2, 29, 37, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*d**4 - 1117*d - 232758 wrt d?\nAnswer: -84*d**3 - 1117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -121. Calculate the least common multiple of 5 - 10 - 15\/b and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 36*f**3 + f - 2. Let c(w) = w**2 - 11*w + 11. Let l be c(10). List the prime factors of h(l).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*x + 4 + 35, -2*t + 5*x = -73. Let h be (-420)\/(-126) + 3\/(18\/4). Let i = -18\/7 + h. What is the common denominator of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*z - 0*h + 59, -10 = -2*h. Let o(v) = 68*v - 68. What is the remainder when o(2) is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 571*o**4 - 5*o**2*s + 95*o + 53*s wrt o?\nAnswer: 6852*o**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141510.8 and -6.3.\nAnswer: -891518.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 462*x - 460.\nAnswer: -2*(x + 1)*(x + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k**3 - 4*k**2 + 7*k - 3. Let x be b(1). Suppose -2*s + 8*s = 18. Suppose s*d - 10*d = -x. What is the closest to -0.4 in d, 0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058 (base 13) to base 14\nAnswer: 18b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18\/7)\/(z*z\/(z**(-9\/4)\/z))*(z\/z**(-1\/15))**(-49) assuming z is positive.\nAnswer: z**(-25237\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/26)\/(-1))\/((1672\/44)\/19)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146209.\nAnswer: 7, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/2 - 16*v**2 - v + 431. Calculate w(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x + 2. Let h(v) = -676*v + 91. Let t be -190*20\/(-900) - 2\/9. Give t*h(r) - 182*d(r).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (19848\/3308)\/(102\/1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 26 - 6 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40306779?\nAnswer: 3, 17, 263443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1749 + 612*r + 1749)*(0 - 4*r**2 + 0).\nAnswer: -2448*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-33)\/(-2024)*48\/24\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5294*o**3 + o**2 + 29*o - 83.\nAnswer: -31764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.82 + 0.18. Let m = -0.74 - 0.06. Which is the second smallest value? (a) 0 (b) -2\/7 (c) i (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*o - 35, -5*l + 5*o = -18 - 7. Let f be (1 + (-6)\/l)*-16. Suppose 296 = 8*i + 344. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*v = -5*v - 16, 0 = r + 2*v + 16. Suppose -3*p - 3*g = -1 - 2, -4*p + 4*g = -20. Solve -4*x + r*k - 1 = p*k, -3*k = 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11417572 and 28543930?\nAnswer: 57087860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55\/18 + -119\/36. Suppose -3*a = u - 16 + 2, 0 = -4*u + 8. What is the closest to t in -1, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 44*s - 40*s + 3*k, 3*s + 13 = 2*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 5. Let x(s) = 6*s**3 - 172*s**2 - 58*s - 3. Let l be x(29). Let p(o) = 2*o + 4. What is l*q(y) - 2*p(y)?\nAnswer: 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14388 by 2.\nAnswer: -7194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - v)*(0 + 2 - 6) - 5*v + 4*v + 0*v + (1 - 3 + 5)*(-80 - 32 + 6)*(-4*v + 3*v - v).\nAnswer: 627*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 36399*b. Let n(y) = -26*y. What is n(s(v))?\nAnswer: -946374*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*p = 13 - 27, -28 = 4*n - 2*p for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:15 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -0.15, 5, -3, 0.15, -0.2 in descending order.\nAnswer: 24, 5, 0.15, -0.15, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*q = -104, -3*q - 107 = -4*v - 2*q. Suppose 30*j = v*j + 417. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1, -0.07, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -131873\nAnswer: -19\/18839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-10))\/(9\/(-75)))\/(30\/(-324))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = -r, -4*r - 2 = -2*t - 6. Find the second derivative of 12*o**4 + 2*o**2 - 2*o**t + 50*o + 265*o**5 - 15*o - 266*o**5 wrt o.\nAnswer: -20*o**3 + 144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*i. Let j(u) = -3*u - 35. Let n be j(i). Let r be n\/(-30)*(-3)\/(-14). Which is the smallest value? (a) 3\/2 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 4. Let a = -4 - -4. Let o be u(a). Suppose 106 = -2*t + o*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -21, -46, -81?\n\"Answer: -5*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37965 + 18986 - 221*u + 18979.\nAnswer: -221*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89943 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4556 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 8. Let t be y(-4). What is the least common multiple of 4*t*3\/6 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from lkmlmklkmllkllkkkk?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16886755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*c**3 + 104 - 104.\nAnswer: -93*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -281 - -9753?\nAnswer: 94c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 21840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 362 - -29. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2 - 0?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151534 by 9.\nAnswer: 151534\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7440 divided by -214.\nAnswer: -3720\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = -3*y + 14, -y - 6 = 2*s. Suppose u - y*u = -17. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 77*m**2 - 1831*m - 135. Give x(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g - 224. Let p be i(-15). Solve 0 = -p*v - 7*v + 92 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 46*w**2 + 4516*w + 4560.\nAnswer: -2*(w - 38)*(w + 1)*(w + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 134\/29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 8*1 + (313 - (88 + -45))?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qor when three letters picked without replacement from qqqmrqrmoqq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/42156 and -65\/2803374?\nAnswer: 5606748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 100 = -4*p. Let g(k) = 3*k**2 - k. Let q be g(2). Calculate the greatest common divisor of p and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -3*v. Suppose v*c = -4*t + 98, -c + 2*t + 14 = -14. Suppose c + 11 = 3*n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -19. Suppose -x + t + 12 = 0, c*x - t - 50 = 2*t. Suppose -3*k = x - 31. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/20750784 and -99\/47656.\nAnswer: 145255488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**2 - 231*l - 319. Let m be x(27). Solve -10*c + m*j = -7*c - 1, 0 = 3*j - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -38*r - 225. Let d be k(-6). What is the second biggest value in 2\/3, d, -2\/13, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35288)\/119097*(-18)\/4)\/((-1)\/((-78)\/1)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778 + 23*v**2 + 778.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9694599 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 - 19 + 19 + (-5*o - 3*o + 4*o)*(-57*o**2 + o**2 - 17*o**2))*(2*o + o - o).\nAnswer: 594*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:01 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (656 - 354*q - 656)*(2 + 1 - 2).\nAnswer: -354*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 340*l + 3908. Let g be r(-12). Calculate the highest common divisor of 18908 and g.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c - 4*b + 16266, -2*c + 16252 = -3*b. List the prime factors of c.\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32800 is divided by 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/((-2)\/(-9)). Let y be -1*2\/2 + 3. Find the third derivative of -y*s**2 - 5 - s**o + 5 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*y**6 + 9*y**5 + 12*y**2 - 43 wrt y.\nAnswer: 1680*y**3 + 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17*q + 2. Determine h(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 + 1 = u, -5*u = -l - 26. Let b = -1475\/764 + 8\/573. What is the common denominator of b and (-1)\/14*-15 - l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002181689 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + -1. Let b = -58 - s. What is the greatest common factor of 324 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6 + 1152\/594?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:49 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 6. Let l(t) = t**3 + 3*t - 1. Let y be l(2). Suppose -3*r = -4*s + 2*s + 11, -y = 3*r - s. Determine f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9.31 (b) 2\/19 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 37*v - 8*v)*(-2*v + 3*v - 3*v)*(-2*v**3 + 4 - 4).\nAnswer: 136*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 17*l**2 + 22*l - 52. Let a be r(16). Calculate the highest common factor of 154 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324893 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - (-4 - 0) - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*h - 0*h + 14, -3*h = u + 5. Let d(j) = 4*j**3 + 5*j**2 - 5. Let v(a) = 2*a**3 + 2*a**2 - 2. Calculate u*d(y) + 5*v(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 minus -2036577?\nAnswer: 2036577.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 10 + ((-175)\/75)\/(7\/21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -1\/3 (b) -102\/35 (c) -3\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 3, z: 2, p: 6, k: 4, l: 1}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 14*q + 13*q as y*q + a and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 26*b**2 - b - 2. Give w(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6) + (-185)\/(-30). Let m be (8 + 0 + 1)\/(-1). Let t = 11 + m. Solve s*j = t*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-11)*(-1)\/(-4*6)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (33\/(-6))\/((-12)\/3144)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y**(2\/5))\/((y*y**(-1\/4))\/y**2) assuming y is positive.\nAnswer: y**(191\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3630000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -0, 84 = 2*j + 2*i. Calculate the remainder when 174 is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 1. Let n(h) = -h. Let j be n(m). Suppose -k - j*k = 0. Solve 0 = 2*g - k*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26636992 and 160?\nAnswer: 133184960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516 - 4369 - 2603 = -101*w - 194 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k + 12. Let d be (-2)\/(-1) - (k - -8). Let p = 0.12 + 0.08. Which is the second biggest value? (a) -2\/13 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6333438 + 265889537\/42. Let q = j - -2734. Find the common denominator of q and 73\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3295090*u**4 + u**3 - 4620787*u**2 wrt u?\nAnswer: -79082160*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 4. Let s(d) = -d**2 - 1. Let y(z) = -3*r(z) + 21*s(z). What is the derivative of y(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/5 + 8*z**4\/5 + 8*z**3\/5 - 4*z**2\/5 - 2*z - 4\/5.\nAnswer: 2*(z - 1)*(z + 1)**3*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0503 + 1436.673\nAnswer: 1436.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n + 38. Is 350 - (-1 + (n - -13)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 79 + 81. Let x = 48 + p. Calculate the remainder when 13 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.09, -9, 108, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:33 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 207 - 6*t + 9*t + 298 in the form y*t + c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*m - 6*m + 114 = 0, -3*t + m = -110. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 10*d + 13. Calculate m(5).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201432662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + k = 2*i - 243, -2*i - k = -162. Suppose 89*s - 544 = i*s. What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*v - 52, 3*x - 4*x + 5*v + 54 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 10419*h**4\/4 + 2*h**3\/3 - 581*h**2 + 3910. Find the third derivative of d(l) wrt l.\nAnswer: 62514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -40946\nAnswer: 43\/40946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 1 - 1)*(-3 + p**3 + 3)*(-3 + 3 + 1).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*s = 4*s + 42, 3*s = -4*r - 38. Which is the third smallest value? (a) -6\/11 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*w**4 + (-3 + w + 3)*(2*w**3 - 5*w**3 + 0*w**3) + (-2 + 2 + 3*w)*(-4*w**3 - 7*w**3 - 11*w**3).\nAnswer: -71*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 569070 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -707*r - 84045. Determine g(-119).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c + 113. Determine o(-30).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p**4 + 108944*p**3 + 140090*p**2 + 31132*p = 0. What is p?\nAnswer: -1, -2\/7, 0, 7783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6549 and -16680.\nAnswer: -10923.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1493594 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1746 - 36616\/21. Find the common denominator of -89\/6 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.6. Which is the second smallest value? (a) h (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-30))\/(2\/6). Let a be q\/(-1)*6\/21. Find y such that 0*y + 0*y**2 + a*y**3 + 2\/7*y**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1027?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 45*h - 470 = 0. Let n = -92 + h. Solve -7*x + 5*x - n = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -17 (c) 2920 (d) 0.5 (e) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1164)\/(-1358))\/((-3)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 11023 (c) 3\/8 (d) -3\/5 (e) 3 (f) 0.26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = -2, -2*u - 2*o = 24. Let w be (-2)\/u + 268\/144 + -2. Suppose v + 4 = 5*v. Is w equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 26. Let t = 5 + -4.48. Let k = -0.62 + t. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -7*r**2 - 2*r + 0 - 2\/3*r**3. Calculate the remainder when 51 is divided by z(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15092*v = 14994*v - 6762 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 412 = 4*o, -4 + 12 = -2*a. Let k = o - -103. Suppose 11 = k*x + 1, -2*z = 2*x - 10200. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/11)*o)\/o)\/(o*o**7))**(2\/11)*((o\/o**0*o*o)**(-2\/27))**(-1\/7) assuming o is positive.\nAnswer: o**(-9208\/7623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + 5683919.\nAnswer: 5683918.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1623*q + 3811. What is the thousands digit of u(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-10)\/(-2) - 3. Let p(l) = l**3 + 8*l**2 - 4*l + 4. List the prime factors of p(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 2 = 407 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 85100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*v - 4*v = 544 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/((-11662)\/(-68))*140\/(-24)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-13 - -6) - (2 - (2 - -2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-3 + 2 - 1)*(2 + 0 + 7)*(3*q**2 + 2*q**5 - 3*q**2) + (-q**4 + 5*q**2 - 5*q**2)*(-2*q + 1 - 1) - 10 - 6*q**5 + 10.\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 - 11. Let w = -1.3 - i. Let d = -32 - -31.5. What is the nearest to 0 in d, w, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v. What is the second derivative of 11*d + v*d**5 + 3*d - 7*d - 4*d**5 wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 29 + -12 + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16445 divided by 1.\nAnswer: -16445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + o - 2 = 0, -2*w - o = -3*o + 6. Let t = -21 - w. Let n = 24 + t. Solve -n = -3*l + l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 6b0224?\nAnswer: 6b022b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 1 - (-30 + 29))*(-16)\/24. Let m = 3 - 2. Let n be (0 + m - 1)\/(-1). Solve -d*k + n*k - 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 + 2 = 0. Solve 4*w = -5*q + 16, -w - 4 = -c*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:37 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 + 343*p - 669. What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*a**3*b*l**3 - 15*a**3*b + 6*a**2*b*l**3 + a**2*l + 2*b*l**3 + 4*b wrt a.\nAnswer: -162*b*l**3 - 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8 - -8)\/10)\/2. Sort -113, x, 11, -1 in increasing order.\nAnswer: -113, -1, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1021, -1022, -1023?\n\"Answer: -h - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22125308.\nAnswer: 2, 149, 37123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 (base 13) in base 3?\nAnswer: 2010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:47 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4) - 4)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23 - -18.42548.\nAnswer: 18.65548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 2, -5, 2.8, -527?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-1 + 2*o + 1) - 3 + 3 - o - 2*o + 0*o + 4*o + 8*o - 6054 + 5940 - 4*o.\nAnswer: 9*o - 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6614.\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 520010321 - 2?\nAnswer: 520010315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -54546, 1.8, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -60?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 176975809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 1 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -184, -368, -546, -712, -860, -984, -1078?\n\"Answer: c**3 - 3*c**2 - 182*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let x be j*14*(-7)\/14. What is the highest common divisor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(-10*209\/(-28215)*12\/(-10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2\/17, -6587, 2\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -363 from 0.14.\nAnswer: 363.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -30. Let g be i\/(-14) - (-300)\/70. Solve -3*c - g*o - 6 = -2*c, -3*c = 5*o + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 4*s = 36, -2*k - s + 3 = 0. Suppose 6 = u + x, 3*u + k*x + 6 = 21. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*f - 96 = 0, 3*y + 4*f = f + 60. Let d = 118 + y. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -2*t**3\/3 + 13. Let y(g) = 49*g**2. Determine i(y(w)).\nAnswer: -4802*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 18 + (8 + -41 - 14).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and -1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/180 - h**4\/24 + h**3\/6 - h**2. Let a(l) be the first derivative of t(l). What is the first derivative of a(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-525)\/(-10)))\/(12\/30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -3*h + 5*a - 12 = -5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 292*l - 686. Let j(q) = -2*q - 6. Let h(n) = -2*i(n) + 22*j(n). Let h(b) = 0. What is b?\nAnswer: 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296836 divided by 4.\nAnswer: 74209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27062?\nAnswer: 2, 7, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1152 from -14.3.\nAnswer: 1137.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (0 - 1) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65 (b) -8\/5 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) -1\/6 (c) -3 (d) -0.31 (e) -4 (f) 724\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7606344 divided by -17\nAnswer: 447432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*b**2 - 3\/2 - 1\/2*b**3 + 5\/2*b = 0. Calculate b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**3 - 7*o**2 + o + 8. Suppose 37*v - 24*v - 65 = 0. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 1\/6 (c) 0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22889.3 rounded to the nearest 100?\nAnswer: 22900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -614, -616, -630, -662, -718, -804, -926?\n\"Answer: -l**3 + 5*l - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g - 2*g + g**2 + 38 + 0*g**2 - 13. Let k be q(4). Solve 5*y = -0*w - 3*w - 31, k*w + 3*y = -25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/34 (c) 0.14 (d) 0.3 (e) -4 (f) 0 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + 18*v - 6. Let b be c(-5). Suppose -b*n - 56 = -2*h, 4*h - 99 = 2*n - 7*n. What is the remainder when h is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-14) - (4 - (3 - 0)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let v(a) = 131*a**2 - 2. Determine h(v(t)).\nAnswer: 34322*t**4 - 1048*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 51?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3, 4*n - 8*n = 5*j - 53295. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 446 + -443. Let s be -5 + 3 + (-10)\/(-2). Solve -k*h + 5 - 2 = -s*m, -4*m = 5*h + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*(-8)\/24 + (-12)\/(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1710265 and -2.\nAnswer: 3420530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 485*w. Let b(j) = -2*j**2. Give b(d(n)).\nAnswer: -470450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74634\/19 + 373132\/95. Let x be 2 - (-2)\/((-4)\/3). Let q = 2 - 6. Which is the nearest to x? (a) y (b) -0.01 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-18))\/(2\/9). Let d be -2 + (-7)\/h*40\/(-14). Suppose d*g + 4*g = 180. Calculate the remainder when 55 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30192 + 145*v + 30192 + 5*v**2. Let d(x) = x. Give q(d(w)).\nAnswer: 5*w**2 + 145*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/80*(-2)\/15)\/(-1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (18 - (4 + 10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4583333*z + 2. Let m be o(-6). Suppose -5*v - 5*v = -m. What is v rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1300) + 2)*2)**2 + 2 + (1*sqrt(130)*6)\/sqrt(10) + 4.\nAnswer: 406*sqrt(13) + 5306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 240?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*n + 89*n + 113 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -51. Calculate the remainder when (-12)\/10*1500\/(-45) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -10*m**6\/3 - 103*m**5 + 425*m**4\/2 + 21540*m**3 - 8100*m**2 - 454. Solve w(a) = 0 for a.\nAnswer: -18, 0, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a gram in milligrams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 12*i - 4*i - 188 - 190 - 10*i to q*i + x and give x.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/36*(-48)\/150.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 9 = j + 2, -2*g - 14 = -j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212230002 + 11?\nAnswer: -212223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 309, 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:09 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 = 24*w - 4*z, -3*w - 701*z - 88 = -706*z for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x**2 - 2. Let n be y(2). Let j = n + 3. Let i(a) be the third derivative of a**4\/6 - 5*a**2. Calculate i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93023\/2311 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 10 = -5*k. Let q be 5 - 5\/((-15)\/k). Suppose q*d - 3 = 5*d. Put -2, d, 5 in decreasing order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n - 16 = 4*f, 2*f = -n - 10. What is the closest to n in 2\/7, 0.5, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 64 = -4*o. Let d = 0 - -2. Let p(c) = -c**3 + 9*c**2 + 10*c + 6. Let l be p(10). Solve -d*x = -4*v - l*x - o, -v + x = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 2*c**2 - 2*c + (0*c - c - c)*(-2*c + 3*c + c) + 4*c**2 + c**2 + 6*c**2 + 7 + 6*c**2 - 7 to n*c + x*c**2 + y and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-8 - 5) - (142 + -115).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*g, 19*g + 12*g = -11*g + 37*g + d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5\/6 (c) 0.07 (d) -98617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 870 - 1. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 428\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9512 and 236718010?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (1 + -1))*4907*-1. Suppose 0 = -3*s + w + 1243. Round s to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 + 9*h**3 + h**2 - 18*h - 8 = 0.\nAnswer: -1, -1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dab (base 15) to base 12.\nAnswer: -38a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-12 + 4 + 2*v + 2) + (-v + 2 - 2)*(1 + 5 - 3) + 0*v - 3*v + 0*v.\nAnswer: -12*v + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*m - 142*m + m**3 - 9*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.59 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 299, 445, 591, 737, 883?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2\/2 - 405174*q + 486198.\nAnswer: 3*(q - 54022)*(5*q - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.189*57.9\nAnswer: -10.9431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 + 11\/(-1). Let s(r) = -15 + 1 + 4 - 3 - r. Let g be s(v). Which is the biggest value? (a) g (b) 2\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2297*m + 11496. Let w be n(-5). Solve -3*p - w = 5*u, 22*p - 15 = 3*u + 21*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023242 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:08 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 53*n - 1674. Calculate t(23).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 23*o + 26*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379980 is divided by 1496.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -295435?\nAnswer: -2953c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*t - 34635, 3650 + 24090 = 4*t + 4*v. Suppose -53*c + 20*c = -t. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 12. Let g be x(-7). Suppose -17 = -4*w + g*o - 0*o, -3*o - 7 = -4*w. Find the common denominator of 2 + w - 74\/(-4) and -25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiiiii. What is prob of picking 3 i?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhbbbbbmhbhhbhhnh. What is prob of picking 2 b and 1 h?\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142.4 + -125. Let j = 19 - s. Let i = j + -1.9. Sort i, -1, -2\/15.\nAnswer: -1, i, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57493, -115097, -172699, -230299, -287897, -345493, -403087?\nAnswer: -460679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8211.02 + -8211. Sort 5, f, 3.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (11 + 4) - (2 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 20. Calculate q(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/189)\/(1 - (-427)\/(-426)). Which is greater: 141 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001110?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/36)\/((-10)\/(-12))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(572) - sqrt(572) - sqrt(572))*4 - sqrt(572))\/(sqrt(33)\/sqrt(3)*-3).\nAnswer: 34*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -52. Suppose 0 = t*s + 3, -2*z + s = -z - 1. Let k = 15 - 13. Solve -p = -2*n + k*p, -n - 5*p = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(297))\/(sqrt(36)\/sqrt(48)) + 0 + (1 + sqrt(539))**2 + 0.\nAnswer: -22*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.7 and 1.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:19 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5. Let y be r(0). Let k(n) be the first derivative of n**4\/4 + 2*n**3 + 3*n**2 + 5*n + 4. Give k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/56 and 1\/178888.\nAnswer: 1252216","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 1008 = 33*i - 25*o, 0 = -5*i - o + 160 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-216 - -201 - (3 - 15 - 0)) + 1 + -86\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {y: 1, a: 1, w: 3, v: 2, z: 3, c: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*z + 3*z = 14, -2*z = 5*m - 6. Let u be 18\/8 - 5\/20. Is (u\/(-2))\/((-1)\/m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/(l\/l**11))\/(l*(l\/((((l*l\/l**0*l)\/l)\/l)\/l)*l)\/l*l)**(-2\/13) assuming l is positive.\nAnswer: l**(978\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let v(f) = 72*f**3 + 2*f - 5. Determine -4*i(y) + v(y).\nAnswer: 72*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(3\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - a + 988, z - 3*a + 732 = 4*z. What is the common denominator of (3\/(-12))\/(12\/z) and -52\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99, 84, 93, 138, 231, 384, 609, 918?\n\"Answer: 2*c**3 - 29*c + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 440 (b) -13 (c) 14 (d) 13 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**3 + 195*q**2 + 13*q**3 + 15*q + 14*q**3 + 11*q**3 + 9*q.\nAnswer: 3*q*(q + 8)*(8*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 15. Differentiate -13 + g + 27 + 17*c + 0*c wrt c.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.3, 103, 0.2, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 796288*n**2 - 39628864884*n - 79260914952 = 0.\nAnswer: -2, 99537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 10 (c) -2\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - l)*(-1 + 0 - 4)*(-5 - 1 + 2).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.44\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-165)\/(-405)*9)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 2. Let y be f(-2). Let d(h) = -h - 6. Let q be d(y). Let g(n) = n + 2. Let t be g(2). Solve 0 = -c + q*m + 11 - t, -m = -5*c + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/833)\/((-4)\/(-126))*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5977 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 4. Let a(s) = -s + 3. Let z(u) = 4*a(u) - 3*k(u). Let t be (-16)\/(-5) - 2\/10. Let g(l) = t*l - 14*l + 8*l. What is g(z(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, -0.1, 0.024?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 4727526*i**2 - 75641184*i.\nAnswer: 3*i*(i - 16)*(i + 1575858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -91*s**3 + 59*s**2 + 8*s - 6. Let y be m(3). Do y and -1907 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 4118030\nAnswer: -4\/2059015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*k + 2. Let m be k\/(-6)*(-54)\/(-12). Is 12 a factor of -36*3*(-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96 - 49*o - 22*o - 194*o**2 - 30*o**3 - o + 4*o.\nAnswer: -2*(o + 1)*(o + 6)*(15*o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1065*u + 55265. Determine b(-52).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*d - 59*d + 4536. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276133 divided by 25103.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.336, 0.2, 1096?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15527.71 micrograms in grams?\nAnswer: 0.01552771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 310\/17825*-115 + (-146)\/(6\/3)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:01 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -6, 0, 2 in descending order.\nAnswer: 8, 2, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 196287?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and (-410)\/80*(-8)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1711 = 2187. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 317967 - 12719389\/40. Let a = i + 14847\/920. What is the common denominator of -47 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103104 or 103167?\nAnswer: 103167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-306)\/8)\/(-9) - 4. What is the third smallest value in f, 19, -2\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209332462 and 773015.\nAnswer: 1046662310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89277.5l to millilitres.\nAnswer: 89277500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(117) + 1 + 4*sqrt(117)*2)**2 - (-3*(sqrt(117) + 2)**2 + -6*(sqrt(117) + -2) + sqrt(117))) + 5.\nAnswer: 105*sqrt(13) + 9835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1471 and 135643?\nAnswer: 137114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v - 20. Let t be l(-4). Suppose t = 6*p - 356 - 196. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 7*m**4\/12 + 527*m. Let u(p) be the first derivative of 5*p**3\/3 - 1. What is g(u(v))?\nAnswer: 175*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edq when three letters picked without replacement from {d: 2, e: 1, q: 1, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 - 3*v**2 + 0*v**2)*(3 - 3 + 2)*(3 + 0 - 2)*(-v - v + 3*v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*w - 5, -w - 1 = -5*i + 8. Let h be ((-8)\/(-16))\/(i\/84). What is the highest common factor of h and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685456.\nAnswer: 2, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 86. Let z be o(-30). Solve 34\/5*v**2 - 8\/5 + 0*v + 36\/5*v**3 + 2*v**z = 0 for v.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g**2 + 20*g**2 - 9*g**2. Let w(i) be the third derivative of -7*i**2 - 1\/20*i**5 + 0 + 0*i + 0*i**3 + 0*i**4. Calculate w(o(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (2 + -4)) + (28 - (-7 - -37)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 + 1.1. Let r = 1257759 - 1257760. Let k = -0.5 + 0.1. What is the closest to 7 in k, r, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 - (-15 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 3. Let j = -558.5 + 559. What is the biggest value in h, 3\/2, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-3 + 2 - 1)*(-3*m**2 - 4*m**2 + 4*m**2).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**3*r + 80*c**3*x + 37*r**2*x + 1233*r**2 wrt x?\nAnswer: 80*c**3 + 37*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249167666 to the power of 1\/2, to the nearest integer?\nAnswer: 15785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p - 1. Let j be s(-4). Let f = 17 - 6. Is j != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -y + w + 4, -5*y - 4*w = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - v = -4*v + 1, 3 = -3*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 1. Suppose -2*b = -3*k + 8, 2*b + 2 = 2*k - 2. Suppose -b = n - 0. Is i(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1588 = -4*c + x, -5*c + 1985 = x - 0*x. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from vuuvv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o - 9*o - 7 - 3. Let h be u(8). Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16901 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15520, -37921, -75256, -127525?\nAnswer: -194728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2336*x**3\/5 - 19620*x**2 - 1029672*x\/5 + 5292\/5 = 0.\nAnswer: -21, 3\/584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-114)\/4)\/((3\/(-1044))\/((-2)\/(-2))).\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*p - 249*p**2 - 11*p - 31*p**3 + 445*p**2 wrt p?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**0\/x))**13*(((x**(-2\/7)*x)\/x)\/x)**(15\/8))\/(x*(x**(-2)\/x*x)\/x*x*x**7\/x)**(5\/2) assuming x is positive.\nAnswer: x**(621\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -24. Let k = 9.9 - t. Let p = 1 + -3. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -s. Solve 0 = s*t + 2*f + 3 + 22, 2*t + 26 = -4*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 258, 386?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4810)\/(-2886) - (-134)\/(-3)) + 24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465368343 + -122.\nAnswer: -465368465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:07 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 20522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17028 - 8458. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 14. Let w be -1 + p - (-2)\/(-2). Let a = 11 - w. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 = -5*l. Let i(a) = 17*a - 2 - l*a + 2. Let q(r) = -4*r**2. Calculate i(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38018*f**6 + f**3*q - 2*f**2 + 4*f*q + 7773*q wrt f?\nAnswer: -4562160*f**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*3)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -3*t**5\/10 - t**4\/6 - t**3\/3 - t**2\/2 - 6*t. List the prime factors of a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344533 divided by 593?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let q(s) = -s + n*s**2 + 4*s**2 - 6*s**2 + 1. What is q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 34*l + 684 = 0. Calculate the remainder when 77 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -940.1 + 940. Which is the third biggest value? (a) -3 (b) h (c) -10 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 350\/(-42) - (2 - (-30)\/(-9)). Put 9, -1, w in ascending order.\nAnswer: w, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*b + 135*b + 120*b - 362*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, -7, -41, -101, -193, -323, -497?\n\"Answer: -o**3 - 4*o**2 + 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**4\/5 - 221196*w**3\/5 + 1327272*w**2\/5 - 2654608*w\/5 + 353952 = 0.\nAnswer: -55305, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/644802 and -41\/3546411.\nAnswer: 7092822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. What is the tens digit of (-6)\/4*(-72)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8839 * 0.209.\nAnswer: -0.6027351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1461*y - 2909. Calculate f(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 - 5*h**3\/3 + 5*h**2 - 4*h - 2. Let q be (-15)\/570*-19*28\/(-2). What is the least common multiple of x(q) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 21*q - 11. Let l be r(10). Let g be (4\/4 + -1)\/l. Suppose 3 + g = a. Solve a = m - p - 6, 5*p + 13 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-g - g + g) + 23 - 2*g - 7 + 23 to the form d*g + h and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.9. Let w be 640\/160*2\/52. Which is the nearest to y? (a) w (b) -2\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 14366.548.\nAnswer: 5746.6192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 6. Let g = j - 67. What is the tens digit of ((-2)\/(-3))\/((-4)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 69, 2, -10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121101001200121 - 2?\nAnswer: 2121101001200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159481903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.9 - -62. What is the closest to -0.1 in -32, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:33 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*g + 19*g + 96 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 7*u**2 - 2*u - 14. Let f be d(-7). Suppose 0 = -k - 0*h - h - 1, 0 = -5*k + 3*h + 19. Suppose -k*s + 7*s = -f*s. Is -2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {f: 17, l: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17653 - 17653 + 867*y.\nAnswer: 867*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let l be (-32)\/(-96)*(4 - 1). Let q(n) be the first derivative of 0*n - l + 1\/2*n**2. Determine c(q(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfwyayfwwy. Give prob of picking 1 w and 3 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211.93 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y + 98. Let m be p(7). Suppose m = 13*f - 7611 - 14606. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21851722 or 21851718?\nAnswer: 21851722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -39, 3 in descending order.\nAnswer: 3, -0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 302664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70481 + 71599 = -12*v - 20*v + 6*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70775639 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 18 = 5*b, 2*b = 5*w - 3 + 42. Is 5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78957*y + 78954*y + 118 - 27.\nAnswer: -3*y + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -123424 (base 9) in base 14?\nAnswer: -1d320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 556, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1273 + 1949?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24743 is divided by 72?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299316 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzha. Give prob of sequence zza.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {b: 7, f: 3, x: 2, j: 1, d: 7}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34938793291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (-8 - 4 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.42 and 0.1?\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let z(g) = g**2 + 7*g + 7. Let i be z(-7). Let l(r) = -4 + r**2 + i - 3. Determine v(l(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q + 16. Let v(w) = -w**2 + 7*w - 18. Let k be v(q). Let c = k + 359. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -6*(sqrt(108) - (sqrt(108) + (1*sqrt(108) - sqrt(108)))) - sqrt(108))*-6)\/(sqrt(30)\/(3*sqrt(5)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -20867 and -20868 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-94)\/470)\/(6\/20). Let p be 27\/(-30) - 1\/(-2). Which is the closest to -17? (a) u (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 70 + 190 = 0. Suppose 2*h + 6 - o = 0. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 - 49. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11321, 49268, 112519, 201074, 314933, 454096, 618563?\n\"Answer: 12652*o**2 - 9*o - 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453 and 7635919.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(100))\/sqrt(2) + -1*(sqrt(50) - sqrt(200)\/sqrt(4)))\/(6*sqrt(250) + (1*sqrt(100))\/sqrt(10)))**2.\nAnswer: 20\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -2d?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22188466 to the power of 1\/2, to the nearest integer?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-36527.7888.\nAnswer: -109583.3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 + 557*a**2\/6 - 1713*a + 6900.\nAnswer: (a - 12)*(a - 6)*(a + 575)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*p - 665, -2*d - 5*p = -3*p + 1370. Let x(s) = -22*s**3 + 2*s**2 + 2*s + 5. Let n be x(4). Let i = d - n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1984.1 + -1984. Suppose 9 - 3 = 2*h. Which is the nearest to -1\/3? (a) -1 (b) h (c) -2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*o - 21360 = 7977, -2*k - 2*o + 58678 = 0. List the prime factors of k.\nAnswer: 13, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-42))\/(1\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let t(q) = 9815*q**2 + q - 4861*q**2 - q - 4791*q**2. What is c(t(m))?\nAnswer: -53138*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76623?\nAnswer: 3, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + c**2 - c. Let t = -82 - -83. Let z be o(t). Let n = z - -178. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*4\/(-4) + 14. Let h be (-2 - u\/9)*-3. Let p = h + 20. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-1))\/(-6) - 406252. Let k be (-16)\/10*y\/(-52). Round k to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*c = 61, 35*c - 36*c - 3 = 0. Calculate the greatest common factor of l and 6767.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27061582 - 1048.\nAnswer: -27062630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -w + 19, 0*i - 14 = -w + i. Suppose 8*f + w = 31. Solve b + d = -4*d + 16, 12 = -b + f*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i**5*i*i))**5*((i*i\/i**0)**(4\/3))**38 assuming i is positive.\nAnswer: i**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.28448669 + 5.28448339. Let m = -167 - -190. Let k = a + m. What is k rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/35 + 234\/10. Suppose 7*l - u*l = -1836. What is the greatest common factor of l and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1344 + -65857\/49. What is the biggest value in 96, -2, a?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-12)\/(-162)*18\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 + -151. Suppose 0*j - j = -w*r + 1361, -3*j - 1032 = -3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32552824 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 = -2*s + 2*v, -10*s - 4*v = -54 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + 71) - (-41 + 79 - 42)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (27 + -15 - 39) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2304.2 * 1.\nAnswer: -2304.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = -31*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 0*w**3 - 2*w + 2*w**3 - 2 - 5*w**3 + 7*w**2 in the form l*w**2 + x*w + c + b*w**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12204 by 1.\nAnswer: 12204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2 + 12. Suppose -4*k + n = -18. Suppose k*f = 5*m - 35, f = -m - 3*m + 28. Solve 0 = 3*u - m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5\/13 - 1050*b**4\/13 - 21358*b**3\/13 - 95910*b**2\/13 - 75600*b\/13 = 0.\nAnswer: -504, -15, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122*x + 3880 - 3880)*(104*x**2 + 221*x**2 - 94*x**2) to the form j*x**2 + k*x + s + z*x**3 and give z.\nAnswer: 28182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 8*d - 5. Let r be t(-9). Let b = -61 - -60.9. What is the closest to 1 in b, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*f = 7, -z + 3*z = -f - 19. Let q be (-3)\/(-15) + (-38)\/z. Let r = 505\/334 + -2\/167. What is the nearest to -1 in r, q, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21582.867 months to years.\nAnswer: 1798.57225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*10\/(-1575)*3.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 273\/231*(-18)\/(-819)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8665465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.61, -4, -95\/7?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.3 (b) -27\/5 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1524, -69, 1\/10, -1.3 in decreasing order.\nAnswer: 1\/10, 0, -0.1524, -1.3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 530860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13714 (base 8) to base 16.\nAnswer: -17cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmmd when four letters picked without replacement from mhzzomhdmomhdh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 14. Give f(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 371 - 196. Let l = 253 - d. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72843024?\nAnswer: 2, 3, 23, 65981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 12*b + 9. Let z(q) = 24*q**2 + 35*q + 27. Let a(m) = -17*w(m) + 6*z(m). Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246300000 rounded to the nearest 1000000?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vszzzdzzzzzdszrrrs. Give prob of picking 2 s and 1 v.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -28 (b) 1 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -41*s**3 + s**2 + s + 1. Let d be k(-1). Suppose 4*w - d = 322. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256571 is divided by 3256547.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -546.\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7*z + 2*z = -16, 0 = 3*p - 4*z + 2. Let j(o) = -7*o + p*o**2 + 18*o + 3 - o**2 + 3. What is the remainder when j(-11) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 21*z = 6. Let a(p) be the second derivative of 1\/15*p**6 + 1\/10*p**5 + 0 + z*p - 1\/6*p**4 + 0*p**2 - 1\/21*p**7 + 0*p**3. Factor a(v).\nAnswer: -2*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. What are the prime factors of 1\/r*(-7 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/1437, -1160\/3, 13?\nAnswer: 1\/1437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 + 4 = 0. What is the common denominator of 3224\/1023 - 4\/(-22) and (4\/(-6))\/(h\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1, 31079, 5, -22 in increasing order.\nAnswer: -22, -5, -1, 4, 5, 31079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1878 and -3\/14?\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 73. Solve u*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -41. Calculate the highest common factor of 50 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150127?\nAnswer: 17, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 364 divided by 91\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205.7 + 302874.\nAnswer: 303079.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -937\/6 - -445\/3. What is the common denominator of y and ((-2289)\/36)\/7 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 0*t**3 + 3*t**3 + (4*t + 2*t**3 - 4*t)*(0 - 1 + 2) + (-t - 3*t + 3*t)*(86*t - 16*t**2 - 86*t) + (-t**3 + 2*t**3 - 3*t**3)*(-1 - 1 + 0).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - s - 15. Let x = -30 - -22. What is the tens digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 21746*a + 21718*a + 15 + 17.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 3. Let i be 30 + -18 - (0 + 3) - 1. Let d be 21*2\/3*(-4)\/i. Let x(p) = 3*p + 1. Determine d*x(m) - 3*k(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 7. Let a be p(6). Suppose -2*n + 3 - a = -2*j, j + 2*n = 7. Suppose 3*r = 7*r + 4*f - 20, 2*r - f - j = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + (-2)\/5 + 1. Which is the smallest value? (a) 2 (b) n (c) 1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43075981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -i + 3*n, -83*i + 36 = -79*i + 2*n for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 233625.114ms?\nAnswer: 0.002703994375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.979 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 + 705.13?\nAnswer: 698.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, 6\/5, 72?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + -3 - -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*h - 2138 = 68*h + 3036. What is the remainder when 6237 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 9 - 9)*(18 + 1 - 4)*(1 - 2 + 2) - 2*h + 2*h - 2*h.\nAnswer: 103*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 109253248 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3 - 98882*c**2 + 2372304*c - 14232096 = 0.\nAnswer: 12, 49417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*i**3 - 180*i**2 wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486d05 (base 16) to base 6.\nAnswer: -245422313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 35*h + 165, -5*y - 259 = 3*h - 234 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - i)*(436*i**2 + 2926*i**2 - 930*i**2) - 2*i**3 - 2*i**3 + 2*i**3.\nAnswer: 4862*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.74 - 16.73. Let l = 5.98351 + j. Round l to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times -91353?\nAnswer: -292329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 336*y**2 - 10*y + 71. List the prime factors of x(12).\nAnswer: 5, 7, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/5 - 0\/1. Let j be 0\/((1 - 2)\/(-1)). Let u(s) = s**3 - 2*s**2 - 6*s - 5. Let w be u(4). Solve j = -5*q - k*h, 2*q - h = w*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 0*i**2 - i**2 - 4*i**2 + 5*i**2 - 2*i**2 + (-5*i + 0*i + 3*i)*(0*i + 4*i - 2*i) + 1137*i + 74*i**2 - 1137*i.\nAnswer: 71*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l - 63*l - 165 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496256 rounded to 2 dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14652307 is divided by 159?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2 - 1. Suppose -2*v + 5*h - 4 = b, -3*h = 4*v - 29. Suppose -4*x + v = -31. Solve -7*l + 2*l + x = -3*d, 4*d - 2*l = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c5 + 1b12?\nAnswer: 1fd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3554 (base 9) to base 15\nAnswer: -bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -5. Let t(a) = -a - 5. Let y be t(o). Solve -u + y*z = 5, -11 = 3*u - 5*z - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 38*j**2 - 774*j - 30726. Calculate t(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -11*d**4\/42 + 13*d**3\/21 - 2*d**2\/7 - d. Factor t(f).\nAnswer: -2*(f - 1)*(11*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1. Let j = 0.1 - g. Is j less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12175 divided by -2435\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 + a**5\/6 - a**4\/24 - 6*a**3 + 3*a**2. What is the hundreds digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 22 + 12 = -2*i, 13 = 11*i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 4. Let f be h(3). Let y = 21975 + -21970. Solve -y = 5*m + f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 84\/7 - -9. Sort 3, -2, -8, c.\nAnswer: -8, -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + c - 14 = -4*t, -2*t = c - 11. Suppose 5*l - y - t = 0, -3*y = -l - 2*l + 9. Suppose i - 3\/2*i**2 + 0*i**3 + 1\/2*i**4 + l = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291677797 divided by 6631.\nAnswer: -43987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 7*i + 4. Let g be r(-7). Let q be 3*5*3994\/1. Suppose -451910 + q = g*k. Round k to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8890976 millilitres?\nAnswer: 0.0008890976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + i + 3*i + 24 = 0, 0 = -5*n - 2*i + 108. Let z be (-24)\/(-5)*n\/3. Let d be 35\/10 - 1\/(-2). Calculate the greatest common factor of d and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 14) + -17 - -34 - 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/9 + 679*i**2 - 10210*i.\nAnswer: i*(i - 15)*(i + 6126)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y - 35. Does 13 divide n(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 4}. What is prob of picking 1 z and 2 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(1377).\nAnswer: -36*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -115, -15, 56.1, -2 in decreasing order.\nAnswer: 56.1, -2, -5, -15, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -1\/4*k**4 + k - k**3 + 0*k**2 + 2. Let z be -4 + 1 - (0\/(-2) - 0). Calculate w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 1\/2, -8, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*n - 15 = -5*q - 20, 5*q - 15 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 269648*j**3 + 70196472*j**2 - 6101825040*j + 176876539812.\nAnswer: 4*(j - 67151)*(j - 87)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/755496 and -3\/35.\nAnswer: 3777480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*n**4 - 1150*n**3 + 160*n**2 + 1150*n - 375 = 0.\nAnswer: -1, 15\/43, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 1, -20, -83, -206, -407, -704, -1115?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 24 = 12*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/32760 and 67\/131040?\nAnswer: 131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2085 divide 904890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000289134398 to 7 decimal places.\nAnswer: 0.0002891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 568, 570, 572, 574?\n\"Answer: 2*r + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -301*v**4\/4 - 89*v**2\/2 - 876*v. What is the derivative of g(m) wrt m?\nAnswer: -1806*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/5 + 901*h**3\/5 - 4487*h**2\/5 + 1255*h - 2688\/5 = 0. What is h?\nAnswer: 1, 3, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m - 5. Let v = -0.10451 + 0.00451. What is the second biggest value in m, 0.4, v, -5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1d?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*(v\/(v\/v**(-8)))\/v)\/(v**3*v*v*(v*v\/(v**(-1\/8)\/v))\/v*v*v))\/(v\/(v**(2\/3)*v)*v**1\/v)**(-3\/14) assuming v is positive.\nAnswer: v**(-1191\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19118, -19076, -19044, -19028, -19034, -19068, -19136?\nAnswer: -19244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 6. Let v(o) = o**3 - 6*o**2 - 12*o + 12. Let y be v(u). Let t be (-3)\/((-3)\/y) - -1. What is the highest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(102)\/(sqrt(6)*2) + ((sqrt(17) + -2)*-1*-4)**2 + -3.\nAnswer: -127*sqrt(17)\/2 + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:22 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, 315, 5, -11, 2, 1 in decreasing order.\nAnswer: 315, 286, 5, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let h(v) = -1812*v**2 + 2312 + 2317 - 4629. Determine h(m(u)).\nAnswer: -1812*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -3)*(-29)\/1. Let t = -1549 - -982. Let j = a - t. Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*w = -10*h + 7*h + 308*w + 13, 101 = -5*h - 4*w for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396671 is divided by 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*o - 35*o - 70*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -1\/3 (c) -27 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express s + s - 3*s + 18*s + 35*s - 35*s - 1 - 2*s + 1 + 2 - 2 - s + (-3*s - s + 2*s)*(-1 + 1 - 2) + s - 2*s - s as y + z*s and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7107*k + 191872. Give g(-27).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -50 + 17 + -3 - (-4 + -3 + -3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 4*s + 25057 = 25017, 2*j - 4*s = 50 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-14 + 9)) + (-18 - 2 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 235.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 14 + 191 + -181 - (-7 - (0 + 0)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3410, -6844, -10284, -13730?\nAnswer: -17182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*g - 26 = 3*g, -13 = -l + 4*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, r: 1, l: 1, y: 1}. Give prob of picking 1 y, 1 r, and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 14, -1, 19 in decreasing order.\nAnswer: 148, 19, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1610 - -1613. Which is the nearest to d? (a) 2\/25 (b) -1\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + 41.87. Let a = -29519.053 + 29477. Let n = m + a. Round n to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-1))\/(-4)*6\/(-15))\/((-2171)\/(-49933))\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 5*x**2 - 4*x + 3. Let r be a(4). Suppose 0 = 11*n - 14*n + r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 22. Suppose 0 = -4*j - 0*z - 3*z - 37, 1 = z. Calculate a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -45 + 49 + 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 2752048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 21*a + 4*a**2 - 4 - 3*a**2 - 15*a. Let d be 99\/(-15) - 18\/(-30). Give l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3647 = -899. Let l = c + -781. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w + 1. Determine z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:47 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 15*c**2 + 3*c - 47. Give q(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:28 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3\/7 (c) 0.602 (d) 1\/2 (e) -0.2 (f) -3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-490)\/(-18) - 10\/45. Let x(f) = -3*f + 6. Let c be x(-7). What is the greatest common divisor of c and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -37*q**5 - 3*q**4 - 3*q**3 - 25*q**2 + 3*q - 3. Let o(y) = y**4 + y**3 - y + 1. Let a(j) = b(j) + 3*o(j). Find the third derivative of a(d) wrt d.\nAnswer: -2220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1441 - -1445. Let k be ((-3)\/(-10))\/(1\/358). Let p = k + -107. What is the biggest value in p, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9280263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53903573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -83 + 11. Solve 0 = 3*b - y*a + 7*a + 8, -4*b = -a + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14*h. Let y(t) = 5*t. Let w(f) = 6*d(f) + 17*y(f). Let m be w(0). Differentiate 5*b**2 + m*b**2 - 1 - 3*b**2 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 12) to base 11.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1730*r**3 - 69*r**2 + 8*r + 8. Calculate i(-1).\nAnswer: 1661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 42 (c) 8 (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-2*n + 0*n + 0*n) + (-6 + 3 + 2)*(-2*n + 2 - 2) - 2*n + n + 5*n + 26 - 125*n - 26.\nAnswer: -115*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:18 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -126.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w = -128*w + 160 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2945?\nAnswer: 3\/2945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 6*y + 7*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t + 6*t. Suppose -4*c + 56 = -t*c. What is the remainder when c is divided by (3 - 3) + 1 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*t + 42 = 535*t. Calculate the least common multiple of t and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*1*(150 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 0.1 (c) 3 (d) -428 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -15*h - 42. Let l be x(-6). Let q be 1935\/120 + -2*3\/l. Let a = 50 + -34. What is the highest common factor of a and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 50. Let s = -8 - z. Suppose 2 = -3*h + s*h. Solve -3*v - h*v + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-9\/4))\/v**11)\/(v**(-9\/5)*v**(5\/2)) assuming v is positive.\nAnswer: v**(-149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0290698 centuries to months.\nAnswer: 34.88376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -52 (c) -1\/4 (d) 0.2 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0.012, 2\/5, -2\/5, -0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 21*z**5 + 61*z**2 - z.\nAnswer: 240*z**3 + 1260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221121101 + -12?\nAnswer: 10221121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q + 20365203 - 20365203.\nAnswer: 67*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*n - 20 + 5 - 4 + 12 + 10 to the form q + c*n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 3*b**2 + 4*b - 3. Let t be v(2). Suppose 0 + t = 5*m. Let w(n) = -n**3 + 4*n**2 + 5*n + 4. Calculate w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40854500 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26252, 26254, 26256, 26258, 26260?\n\"Answer: 2*k + 26250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*j - 188*y + 186*y, 5*y + 61 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:03 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/12)\/(30\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v)*(-4*v + v**2 - 3*v**2 + 5*v + (-2*v + 4*v + 0*v)*(-v - 3*v + 5*v) - 5*v**2 + 2*v**2 + 2*v**2)*(38*v + 278*v + 52*v).\nAnswer: 736*v**4 - 736*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3900 and 187\/12325800.\nAnswer: 160235400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:47 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/2)\/(7\/28). Suppose 0*l - y = -2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.118 or -4\/31?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -969*v**2 - 1400 + 14903*v + 284*v**2 - 5*v**3 - 12813*v.\nAnswer: -5*(v - 2)*(v - 1)*(v + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 - -539 - (4 - (-48 - 0))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 109*i - 890. What is g(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 + 10968?\nAnswer: 10860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516139 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420567*m**3 + 47*m**2*w - 4*m**2 + 192576332*w wrt m.\nAnswer: -1261701*m**2 + 94*m*w - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 3. Let i be c(6). Let d be i*((-12)\/(-9) - 1). Put 4, d, 1 in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -149, -146, -145, -146?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*z + 2343 = 3097 + 5426 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {n: 3, s: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 72596063.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*d**3*s**2 - 8*c*d**3 - c*d*s + 2*c*s - 121*d**3*s**2 + d**3*s + 5*d**3 wrt s?\nAnswer: -10*c*d**3 - 242*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + (-63 - -32) + -84.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 2. Let p be v(5). Let x(s) = s + 0*s - 3 + 3*s**2 - 2*s**2. Let k be x(5). What is the greatest common divisor of p and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v. Let j(i) = -9905 - 8*i**2 + 9905 - 12*i - 8*i. Give 3*j(d) - 20*o(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5577\/13)\/13 - 85.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + w**3 + 2 - 15*w + 15*w + w**3 to the form r*w + p*w**2 + c + i*w**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3752\/246 - (-5 - -4). Let n = o + -24\/41. What is the common denominator of n and ((12 - 1)\/528)\/((-4)\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45904 and 8816?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*r = 195*r - 142*r + 989 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 3*k - 3. Let m(h) = 3*h**3 + 2*h + 2. Let u(l) = l**2 - 12*l + 28. Let q be u(4). Give q*g(w) - 6*m(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 11*f**2 + 21*f - 9. Let i be x(-9). Let c = i - -38. Suppose 1 = c*r + 2*r + t, r = -3*t + 14. Let v(h) = -h**2 - 2*h - 1. Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3)*69\/(-92)*(-7128)\/(-4356)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*s + 147*s - 6060 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from {c: 7, e: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 8:12 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9110 and 4605105.\nAnswer: 9210210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577855 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385589099\/822 + 469086. Let c = -2\/411 + r. What is the nearest to -2\/7 in -30, c, 2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4057686623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 39, 48, 47, 30, -9, -76?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2)\/((-12)\/180). Is ((-5)\/a)\/(2\/65622) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.073 times 2\nAnswer: 22.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 a when four letters picked without replacement from {a: 1, g: 1, b: 2, s: 1, e: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*y + 64*y = -360. Solve 0 = 6*n - 15*n + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/18)\/((-8)\/(-48)). What is the closest to 0 in 2\/11, -3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 12*v + 18*v - v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 13 = 1734*i - 1736*i + 9, -24 = -4*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 2, -2.\nAnswer: -498, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13230176.224 rounded to the nearest 10000?\nAnswer: -13230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4602, -4599, -4596, -4593, -4590, -4587?\n\"Answer: 3*p - 4605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 410.62 - 410.98059. What is m rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(4\/(-10)))\/1. Suppose -9 = -3*q - 3*c, i*c + 5 = -q - 0*c. Solve -5*h - 4 = 5*n + 1, -4*h + 32 = -q*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8455699 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-25) - (-5284)\/10 - -4. Round a to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*a**3 + 6*a - 809*a**3 - 42*a + 240*a**2 = 0. What is a?\nAnswer: 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209) + sqrt(209))*5 + sqrt(209) + sqrt(209) + sqrt(209) + 3*(sqrt(209) - sqrt(209)*1))\/(sqrt(396)*-2*5).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-12)*(-18)\/(-8). Let o = g + -11. Let w(r) = -12*r**2 - 2*r + 1. Give w(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6.7 (b) -0.2 (c) 4 (d) 3\/4 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36750 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1728*m + 4. Let i be o(-7). Round i to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165623 - -1?\nAnswer: -165622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, h: 1, a: 2, x: 7, i: 3}. What is prob of sequence sas?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 6:16 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44607621.0553378 + -44607616. Let n = z - 21.0553364. Let r = -16 - n. Round r to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13861 * -0.9\nAnswer: 12474.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 732741770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -93*x**2 + 26*x - 26. Let p(t) = -43*t**2 + 12*t - 12. Let i(h) = -13*p(h) + 6*w(h). Let l(u) = 7*u + 281. What is l(i(q))?\nAnswer: 7*q**2 + 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 12*u + 9. What is the remainder when 78 is divided by t(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:37 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-24)*-5*20\/(-75).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 5\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 25*n - 61. Let l = 93 + 24. What is the remainder when l is divided by i(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c - 7. Let a be ((-42)\/(-15))\/((-1)\/10*-2). Suppose x - 9 = -7. Let b(i) = -3*i - x - 2 + 2. Calculate a*b(v) - 4*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o + 44*o = 45687600. What is o rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 - u**2 + u - 1. Suppose h + 0 = 1. Let t be s(h). Let y(r) = -r + 2. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5\/2 - 11*l**4\/2 - 7*l**3 - 3*l**2 + l\/2 + 1\/2.\nAnswer: -(l + 1)**4*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -18*g - 10*g**2 - 1\/3*g**3 - 3. Let j be i(-19). Solve 5*d - 5*n - 25 = 0, -5*d - j + 10 = 3*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72675 by 475.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13*w*w**(1\/22)\/w*w*w*w**(-10)*w*w**(20\/7) assuming w is positive.\nAnswer: w**(1371\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4*o - 4. Let l be n(-4). What is the units digit of (33\/l)\/(9\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 - 6. Let l(k) = -11 + 2*k**3 + 8 - k**3 + 5*k**2 + 3*k. Let m be l(-3). Determine q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 21*r**2.\nAnswer: 3*r**2*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjjzoj. What is prob of picking 1 z, 1 o, and 2 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**3 + 38*k - 38*k)*(2*k + 0*k - k) - 2*k**4 - 2*k**4 + 3*k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*201\/4 - (-171)\/228. Let y = 78 - 27. Calculate the greatest common divisor of y and n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) - ((-54)\/189 + 4\/14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 237044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 238595.\nAnswer: 4\/238595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m. Suppose 56 = 3*d + 62, -3*d = h + 7. Let z(w) = w + 1. What is h*n(v) - 6*z(v)?\nAnswer: -2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170057*r + 340550*r - 170492*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.824 + 3.16. Let a = q - 5. What is a rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -68291031?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 1:48 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4310, -8623, -12936?\n\"Answer: -4313*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4509 - 493. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqqjrrrtwjjwj. What is prob of picking 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82305204 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 -6b41 (base 15) in base 16?\nAnswer: -5902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/42*((-5)\/(-45))\/((-1)\/3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 18*r + 1. Let f be w(16). Suppose -i - 82 = 3*n, -17 = 2*n - 4*i + f. Which is smaller: -25 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(-48) assuming t is positive.\nAnswer: t**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -9.01 (c) -0.4 (d) 2 (e) -3 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35398*f*p**5 - 3*f*p**3 - 2*f*p**2 + 5*f*p + 45*p**3 - 421492 wrt p?\nAnswer: 2123880*f*p**2 - 18*f + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*k + 5, -3*u + k = 118 - 110 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7950 by 6.\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1638400 - -15761600. What is j rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1913*x**2 - 6740*x**2 - 3268*x**2 - 1695*x - 1037*x**2 wrt x?\nAnswer: -18264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - -10)*(-1 + 0). Let j(t) = -2*t + 0*t**2 - p*t + t**2 - 2*t**2 + 6. Let u be (-6)\/(-8)*16\/(-2). Determine j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/215)\/((3\/(-5))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387 - -1251. Suppose f = -8*z + 12*z. What is the greatest common factor of 48 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1589 + 92. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67\/5 of a kilogram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777806729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19600031.75 rounded to the nearest ten thousand?\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + v + 80*v**2 + 13 - 17*v**2.\nAnswer: 63*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20118445.\nAnswer: 5, 23, 174943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (4 - -2) - (-4 + 8 + 9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*n = 124*n - 408. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-3) - 11\/(44\/(-72)). Solve -5*x + 45 = -17*y + k*y, y - 3*x = -7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3509 - 6561. Let x = k + 3089.99. Let q = -38 + x. Which is greater: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1860*b*p**2*z**3 + b*p**2 + p**2*z**3 - p**2*z**2 - 67*p**2 - 8*p*z**2 - 1 wrt z.\nAnswer: 11160*b*p**2 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-eight fifths of a litre?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 21. Let b be w(-11). Let i be 0\/(b + -1) + (-17 - 3). Is 27 a factor of (-72)\/28*(i + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l - 15. Let m(o) = 14*o - 31. What is -5*a(n) + 2*m(n)?\nAnswer: -2*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1550415838735 and 0.4.\nAnswer: 0.2449584161265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 5152?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*s + 2*d - 0, 2*s - d - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9*v**5 + 485*v**4 + 5211*v**3 - 585*v**2 = 0.\nAnswer: -39, -15, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*d**2 - 85*d**2 + 56*d**2)*(0*d - 5*d + d).\nAnswer: 280*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 2*h + 12. Let m be j(-4). Suppose -5*y + 120 = m*o, 21 + 3 = y - 2*o. What is the highest common factor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6077 and 51706.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -0.4, 4\/3, -147, -2 in decreasing order.\nAnswer: 4\/3, 0.07, -0.4, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854753621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 75*c**2 + 127*c + 243. List the prime factors of z(-73).\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135.71 - -138. Let y = g + -26.29. Which is greater: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6324\/25 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32278, 129199, 290760, 516961, 807802, 1163283, 1583404?\n\"Answer: 32320*k**2 - 39*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*i**2*m**2 + 632*i**2 + 6*i*m**2 - 2097*i*m + 3*i - 8 wrt i?\nAnswer: 164*m**2 + 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*0.05\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1489 - 889. Suppose 5*a - i = -125. Suppose -26 + a = 3*l. Solve -l = 3*s - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-16)\/(-10))\/4. Which is the nearest to -1? (a) -2\/7 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -176.023902995965 and -0.3.\nAnswer: -176.323902995965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*t**2 - 261*m**2*t - m*t + 147*t**2 + 2 wrt t?\nAnswer: -2*m**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.89031 and -0.02.\nAnswer: 0.2378062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2. Let l(h) = 5*h**4 - 63*h**3 - 9*h**2 + 65*h. Let z(c) = l(c) + 2*q(c). What is v in z(v) = 0?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.397 + 4.\nAnswer: -19.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbvb when four letters picked without replacement from hhbbgbv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {z: 1, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 23*q + 117. Let v be o(-5). Suppose -4*i + 242 = 5*d, -v*i + 3*d - d + 130 = 0. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1705 - -2648. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - 258*w**2 - 2673*w\/2 + 1593.\nAnswer: 3*(w - 177)*(w - 1)*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15424*y**2 + 2239*y**2 - 2210*y**2 - 2*y - 493*y**2.\nAnswer: 14960*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10106252879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*l = -74*l + 19584 - 1552 + 10183 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3767770106 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44656 divided by 4?\nAnswer: -11164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:01 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9950306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 58*k - 187. Let q be m(3). Suppose -5 - 15 = 4*a. Is a greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 56*p**2 - 53*p + 28. Let n be i(-27). Which is the second smallest value? (a) -6 (b) n (c) 0.1 (d) -0.3 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 35*f - 54. Solve -3*j = -4*n - 28, -f*j = -3*n - 15 - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (2*(sqrt(171) + (2 + sqrt(171))*-4 + sqrt(171)))**2).\nAnswer: 2304*sqrt(19) + 17964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 + -845. Let k = 2076.028291 - 2622.0283249. Let h = k - f. What is h rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**4 - 31*a**2*b + 230*b + 2 with respect to a.\nAnswer: 12*a**3 - 62*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16587.4752 rounded to the nearest ten?\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -4 - ((-1)\/1 - 10) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 - 3385*c**3 + 333260*c**2 + 1730940*c + 2101680 = 0.\nAnswer: -3, -2, 126, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 15.3 (c) 11\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = 0, -3*r + 3*l = 2*r + 3. Let m be 1 + (1 + r)*-1. Suppose m = 2*o + o - 30. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i**2 + i. Let t be w(-1). Let n = -7 + t. Calculate the lowest common multiple of 21 and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9*z + 370 = 4*z, 3*m = -5*z + 230. Let f = m + -28. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 510 = -49*k + 42*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wlaawwaswlwwaw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 12. Suppose 4*v = -7*d + 2*d + 5, 2*v + 5 = -5*d. Let s be (d\/(-2))\/((-6)\/(-8)). Put s, i, 4 in increasing order.\nAnswer: i, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 415 = 3*l, 0 = 2*l - s - 3*s - 250. Let y = l + -143. Is 14 a factor of ((-6)\/y)\/(2\/184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110111101101010 (base 2) to base 8.\nAnswer: 667552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*g + 2 + 38*g + 15*g in the form y + u*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*x = 11, -r - x = -5*r. Is r greater than or equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 7*j**6\/30 + j**5\/60 + 51*j**4\/4 - 488*j**2 - 2. Find the second derivative of z(h) wrt h.\nAnswer: 168*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 284*a**3 + 5*a**2 - 6*a - 16. Does 22 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*m + 2 = -3, m - 1 = 0. Let p = -3 + 3.1. Which is the closest to 0.1? (a) p (b) 4\/53 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*((-2)\/3)\/1. Suppose -5*h + 133 = -p*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - (44 - -53)) + 41.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*y - 83 = 88 - 198, -36 = 4*o - y for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 6*p + 4. Let r be t(-4). Let s be 6\/2 - (r + -2). Let y(g) = 4*g + 3. Let u(z) = -6*z - 4. Calculate s*y(a) - 5*u(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024483 to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8*u + 10 = -9*u, -u + 1 = 0. Let k(s) be the first derivative of -17\/2*s**2 - m + 0*s. Let v(i) = 2*i**2. What is k(v(o))?\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26958005719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + 3 + -1. Suppose -4*g + 3*g = z*r - 87, -3*g = 4*r - 93. Let i(t) = -83*t + 1. Let h be i(-1). What is the greatest common divisor of r and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -8888 (c) 4 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(30)\/sqrt(2)*6 - -1*sqrt(735)))\/((-6*(sqrt(45) - sqrt(5)) - 4*(sqrt(80) + sqrt(5)))*1).\nAnswer: 13*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 8. Suppose -c - a*n + 12 = -14, 0 = 2*c - 2*n - 64. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 2*i + (5 - 1 - 1)*(-6 + 6 + 4*i))*(-7*i - 2*i + 0*i)*(3*i**2 - 3*i**2 + 2*i**3).\nAnswer: -198*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 5*j. Let p(t) = 4*t**2 - 7*t. Let o be (-1 - 0)*(18 - 11). Let z(n) = o*w(n) - 5*p(n). Let u(f) = 4*f**2. Determine u(z(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - -15. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117022.7 to the nearest one thousand.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149 and 197276?\nAnswer: 197276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-18)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r - 248. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.4, -51, 0.04 in descending order.\nAnswer: 0.04, -0.4, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*c + 2232 + 1863 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83765952 and 27921984?\nAnswer: 83765952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3598 and -4.\nAnswer: 9.4392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*n + 5*n + 3*c, -5*n - 2*c = 46. Let m be 9\/12 + n\/(-8). Solve -v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121713982*c + 364088159.\nAnswer: -121713982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:09 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z)\/(z\/(z\/(z*z**2)*z*z))*z**(-16)*z*z**(2\/13) assuming z is positive.\nAnswer: z**(-141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 195502466*k**2 - k + 398039311.\nAnswer: 391004932*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -305, -604, -905, -1208, -1513, -1820?\n\"Answer: -w**2 - 296*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.362874 millennia to centuries.\nAnswer: 73.62874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6*i - 26 = 7*i, -3*i - 6 = 0. Solve 4*r + 2*t - j = 0, 0*t - 4*t = 2*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a51474 - -9?\nAnswer: -5a51466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2961*t**2 + 139*t - 138. What are the prime factors of p(1)?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 - t**3 + 5*t**2\/2 + 38*t - 115. Let j(o) = -o**2 - 5*o. Let v be j(-4). Give n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 4*p**2 - p**2 + 5*p + p**2 - 5*p + (0*p + 6*p - 2*p)*(4*p - 3*p + 2*p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * 119.\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4128 - 497 = -37*a. What is the remainder when a is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 12*y - 8*y + 9*y to the form h*y + i and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102853 or 1?\nAnswer: -102853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mjcmmccjjjcjccj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0763 and -155922.498.\nAnswer: -155922.5743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 62*t**3 - 86*t**2 + 942*t + 2088 = 0. Calculate t.\nAnswer: -29, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - -99.4. Let o = -2298973969 + 2298973868.0000071. Let w = g + o. Round w to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/((-1)\/(-3)). Let q be (-6)\/(-2 - g\/(-4)). Suppose 2*x + 5*s - 45 = -0*x, -79 = -q*x + s. Solve -z = -6*z + x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + o)*(1 + 1 - 4) - 3*o + 2*o + 3*o + 425*o - 311*o + 509*o.\nAnswer: 627*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -212348, -212350, -212352, -212354, -212356?\n\"Answer: -2*y - 212346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6122853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 9. Let w(g) = g - 5*g + 3*g - p. Suppose -5*u = 28 - 8. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.122 rounded to zero dps?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9893.439 millennia to months.\nAnswer: 118721268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-972)\/(-1512))\/(6\/(-14)))\/((-63)\/(-1470))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3046185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 5 - (6 + (-6 - (-2 - 4)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(9\/6*2\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -276176.\nAnswer: 138088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqrqqqrqqqrrq. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeyeeyeeeeeee. What is prob of picking 2 y?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 23*j + 73. Let s be n(6). Let l be s\/273*10*6\/10. Sort 5.1, l, -3\/2, 4 in descending order.\nAnswer: 5.1, 4, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 11}. Give prob of picking 2 i.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 0 - 12)*(0*w**2 + 2*w**2 + 0*w**2) + (2*w**2 + w**2 - 5*w**2)*(-5 + 3 + 4).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 2*x + 2. Let a(j) = -7*j**2 + 3 - j - 6*j + 3*j**2 + 4*j. Let y(h) = 2*a(h) - 3*d(h). Let c(v) = 8*v. Determine c(y(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.500882mg?\nAnswer: 5500882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-1)\/4*27\/(-18090)*-8?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 - 2*t + 2. Let n(v) = v**3 - 6*v**2 - 3*v + 4. Determine -3*b(u) + 2*n(u).\nAnswer: 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/11 + 20626*v**2\/11 - 11250174*v\/11 - 3085110 = 0 for v.\nAnswer: -3, 581, 9735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/((-3)\/(-52)). Let r = q + 50. Suppose 18 = 3*c - 4*u - 14, -4*c + 80 = 4*u. What is the greatest common divisor of c and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.26 - -10.26. Let i = -2.99294 + p. What is i rounded to four decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 1, d: 2, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, x: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 12641*(-1)\/560. Let i = -3\/112 - n. Let s = i - -26. Do s and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((1\/9)\/(7\/(651\/155))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 11 + -9 + 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 821678 - -1c?\nAnswer: 821697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (24 + -11 - 10) - -20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3\/30)\/((-136)\/255))\/(12\/(-16)). What is the closest to q in -1, 15\/7, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 72*k**2 + 613*k**2 - 14*k - 6*k + 29*k.\nAnswer: 685*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:16 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 29*p + 545 = 56*p. Put -2, -6\/95, p in descending order.\nAnswer: p, -6\/95, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 8.4189074.\nAnswer: 9.26079814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 4620?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 54 (c) 127 (d) -5 (e) 1\/6 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*l + 328, 470 = 2*l + l - j. Let x = -108 + l. Suppose c = 1 + x. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -305?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 4000*n - 2001*n - 21 + n**3 - 2004*n to the form d*n + u*n**3 + v*n**2 + l and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3921 + 3926. Solve -18*b + 20*b - 11 = -5*l, -i*l + 3*b = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -43. Suppose 3*d - 2*b = t, 0*d - 4*b - 2 = 2*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 - 2*t + 6. Let l = 39 + -17. Let g(f) = -17 + 34*f + 4*f**2 - 49*f + l*f - 4*f**3. Let b(p) = -7*c(p) - 2*g(p). Calculate b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.801998 and 72.6.\nAnswer: 68.798002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 20*t - 9. Let g(x) = -x**3 - 6*x**2 - 4*x + 9. Let m be g(-5). Suppose 5*c + 2*h = -80, 0 = -m*c - 2*h - 18 - 46. Is 11 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -630 - -8838. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -10 + 24 + -15 - 15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:08 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 511362818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96 + 2 + 0)*11003. Suppose t + q = 8*t. Let k = t + -574042. What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2698*v + 100094 = -18618 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*d**3 + 85*d**3 + 82*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -25 - (4 + -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 31829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 2\/(-3). Suppose 2*t + b = -v*b + 13, 1 = -t + b. Let a = -180 - -182. Solve 1 = r - 4, t*q = a*r + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2777, 11010, 24695, 43820, 68373, 98342, 133715, 174480?\nAnswer: 220625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 39*h**2 - 1476*h - 228 = 0.\nAnswer: -2\/13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**3 + 26*o**2 - 208*o + 5. Let v(i) = -14*i**3 - 39*i**2 + 312*i - 8. Let c(d) = 8*f(d) + 5*v(d). Find the second derivative of c(u) wrt u.\nAnswer: 12*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.459 - 0.096. Let w = -6192005 - -6192004.63700338. Let l = w + d. What is l rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*(-21)\/14*(-6)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5570 + 16?\nAnswer: -5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76675807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s + 1. Suppose 2*d = -2*d - 4, 0 = -5*y + 4*d + 34. Let q be t(y). Is 0 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*1*(3 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 + -0.4. Let t = -13598999.9999995 - -13598997. Let b = x - t. What is b rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 103.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1810\/(-15) + -3)*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66719097 is divided by 1389981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*c - 37 - 182 = 0, 3*c - 955 = -5*x. Suppose -5*q - 69 = 5*u - x, 21 = u - 3*q. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -7.3. Which is the second biggest value? (a) 0 (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/4 + 3\/(-6). Suppose 0 = -2*t + c + 9, -u*t + c = -3*c - 12. Let s(b) = -17*b**3 - 3*b**2 - b + 1. What is the remainder when s(-1) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/(5 - -11))\/(-2). Is 22\/69 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5 + ((-2651)\/99 - -7) + 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = -2*o - o, -2*o - 7 = y. What is the remainder when 22 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.904528 tonnes in grams?\nAnswer: 7904528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, 0.2, 0.5, -217, 2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 31 = -5*b - 19, 0 = 3*b - 2*c - 7. Sort b, 0, -4 in descending order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*d = -22*d - 138*d + 4879 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**5\/35 - 13*w**4\/28 + 10*w**3\/21 + 12*w**2\/7 - 2226. Factor b(c).\nAnswer: c*(c - 12)*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 2553 - 27 + 1069.\nAnswer: -11*q + 3595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + h**4 + 4)*(-9 - 5 - 1).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 5339?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -6. Suppose l = k + 2*l - 11, 0 = -3*k + w*l + 65. List the prime factors of k\/10*672\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 158. Let y = o - 14. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 - 7*z + 5*z + 3*z**3)*(4*z - 3*z + 3*z).\nAnswer: -8*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 477*s + 959. Let h be d(-2). Solve -h*v = -207 + 217 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -3 + 1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0 + 1 + 2*k - 4. Let w be (4\/(200\/(-75)))\/(6\/(-20)). Calculate b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 4996163.\nAnswer: -4996163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264306?\nAnswer: 2, 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18244599 and 0.2?\nAnswer: -3648919.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1192\/3, 3\/5 in ascending order.\nAnswer: -4\/5, 3\/5, 1192\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**3 + 9*m**3 + 2*m**3 + 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*f**2 + 77*f**2 - 39*f**2 + (-2*f + 24 - 24)*(7*f - 3*f - 2*f) in the form a*f**2 + l + q*f and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*q + 4 + 15, -q = r + 1. Let j(a) = 7*a**2 + 2*a - 1. Calculate the remainder when ((-46)\/(-1))\/(r - 2) is divided by j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906635 a multiple of 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 103 = 50 + 55 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*v, 38*v - 35*v = -u - 8. What is the fourth biggest value in 0.0479, v, 1, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 15. Let z be (-1 - 10\/(-15))*12. Let l be h(z). Suppose -156 = 7*k - l*k. List the prime factors of k.\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 -14*s**4 - 9379*s**3 + 194514?\nAnswer: -56*s**3 - 28137*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436*l**2 - 291*l**2 - 278*l**2 - 291*l**2 - 281*l**2 - 288*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(7\/6)\/((d\/(d*d**1)*d)\/(d\/d**(-1\/4))))\/((d**0*d*d)**16)**(-1\/16) assuming d is positive.\nAnswer: d**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 962, 945, 928, 911, 894?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -41. Solve -5*m + s = -3*s - 25, m + 4*s = g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 + -1 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 19525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 439519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*y = 9, 0 = 2*t - 3*y - 2*y - 1. Suppose -k - k + 4 = 0, -3*s = 5*k - 19. Solve o - t*o = 2*d - 18, 0 = s*o + d - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 - (1 + 2) - 76\/(-2) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**28*(l**1*l)\/l*l**10 assuming l is positive.\nAnswer: l**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*h + 4*w - 12, w - 5 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 12*b**2 + 4331*b**4 - 4348*b**4 + 2*b**2 to the form w*b**3 + l*b**2 + q + k*b**4 + d*b and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 124\/28 + 16\/28. Suppose 8 = 3*q - 2*r + 31, -q - b*r = -15. Let y(o) = o**3 + 5*o**2 + o + 7. What is y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 <= 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.314 + -76. Let p = h + -9.314. Sort p, 1\/5, 5 in decreasing order.\nAnswer: 5, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from rqqjjqrqrqqqqqqqrqrq?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -908 smaller than 9\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21866567 is divided by 3123793.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-12)\/390 + (-6)\/(-39). Let i(p) be the first derivative of 3 - 7\/5*p**5 - 1\/3*p**3 + 0*p + v*p**4 + 0*p**2. Find the third derivative of i(l) wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8440 and 851385?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(17\/(255\/6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 5516.\nAnswer: -88256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62132\/20*10\/(-88). Let g = t + 353. Suppose 0 = 4*v + 5*f - 49, v - 14 = -f - 4. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y - 59*y = -5*z + 105, 5*z + y = 115. What is the greatest common divisor of 216 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -21*i**5\/20 + i**4\/12 - i**3\/6 - i**2\/2 - 500*i. What is v(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87844879, 175689754, 263534627, 351379498?\nAnswer: 439224367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 265*p**9\/504 + 79*p**5\/12 - 18*p**2 - p. Find the third derivative of g(z) wrt z.\nAnswer: 31800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.2, 0.1, -13\/540?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-311 - 220 + 74)*(-2*k + 3 - 3) + (-2 - 2 + 1)*(k - 3*k + 3*k).\nAnswer: 911*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102931 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 3\/11 (b) 1 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 7*j**2 + 14*j - 25. Let o be b(8). Suppose 5*h - 2*q = 305, -25*q = -o*q. Calculate the remainder when h is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10 - 3*d**3 + 10*d**2 + 2*d - 2*d**2 + 4*d**3. What are the prime factors of v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -20795655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 7:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25 - -13)*(-11)\/4. Let g = z - 20. Suppose 3*s = 17 + g. Solve 0 = -3*v + 6, -u - s = 4*u - 5*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*f + 2569, -4*i - 6*f = -5*f - 5083. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 35*j**2 - 14*j - 24.\nAnswer: (j - 1)*(j + 12)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 61. Let y(l) = -3*l + 60. Calculate 6*w(t) + 7*y(t).\nAnswer: -3*t + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -59*t**3 - 3*t**2 + t + 24. What is the tens digit of h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 11*y - 18. Suppose a = -0*a - 5*g + 16, g - 2 = 0. Is 42 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4055.\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -173*c - 26113. Give w(-151).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 2 (c) 10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*sqrt(162)*1*-4)**2.\nAnswer: -559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 9e5?\nAnswer: 9eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 22970.2?\nAnswer: 68910.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**2 + 9*u - 57. Is w(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 - w**2)*(7*w - 19*w + 62*w)*(-4*w + 3*w + 0*w).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:49 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11679443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/42 and 21\/68839.\nAnswer: 2891238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 625169*y**3 - 86.\nAnswer: -625169*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-2) + ((-15)\/6)\/(25\/(-120))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + s + 3)*(0 + 2 - 4) + 2*s - s + 5*s + (3*s - s - 4*s)*(-3 - 3 + 1).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 648740103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*a**3 + 194*a**3 - 914*a**3 + 189*a**3 + 179*a**3 + 186*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439474117907 take away 0.38?\nAnswer: 439474117906.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -768?\nAnswer: 127\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 346972191*-0.2\nAnswer: -69394438.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/20? (a) -0.3 (b) 1234 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 73 = 2*u, 4*w = -1 - 11. Let q = 53 - u. Calculate the smallest common multiple of 10 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.6 - 45. Let o = 0.6 + w. What is the closest to 0.1 in 1\/4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13833781 is divided by 1328.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 128564291.\nAnswer: 1285642910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v*v\/(v*((v**(1\/5)\/v*v)\/v)\/v))**(-10\/11)*(v**(-2)\/(v*v**(-4)))\/((v**(-4)*v*v*v)\/v**(1\/3)) assuming v is positive.\nAnswer: v**(53\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 5996 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(20) + (-5*1*sqrt(20) - sqrt(20)))\/sqrt(4))**2 + -2 + (sqrt(3630) + -1*sqrt(3630))\/sqrt(6).\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 2*w - 25, -248*v + 244*v = -w + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 2*x + 4*j, 0 = -2*x + 2*j + 14. Suppose -19 = c - x*c. Let o = -41 - -117. Calculate the greatest common divisor of c and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -292 (b) 2 (c) -1\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/29578127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*7564875\nAnswer: 30259500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 562909.6 millimeters?\nAnswer: 562.9096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/2 - 3955*z**3\/2 + 591147*z**2\/2 + 3653559*z\/2 + 2766825 = 0.\nAnswer: -4099, -3, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1\/712, -191, -0.2, 5, -6\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 8*a + 208. Let v(k) = a*k - 29*k - 24*k. Let w(u) = -10*u. Determine w(v(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7261 and 67678?\nAnswer: 3586934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14b0a4 - 0?\nAnswer: 14b0a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 + 10*o**4 - 2*o**3 - 34*o**2 + 24*o.\nAnswer: 2*o*(o - 1)**2*(o + 3)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:53 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -11. Suppose 0*c + 3*c - 5*y = 8, 0 = 2*c + k*y. What is the tens digit of -3 + 4 + 25 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1536109, 1536110, 1536111, 1536112, 1536113?\n\"Answer: r + 1536108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n = 4*f - 15, 5*n = -2*f + 15. Suppose -4*h = 5*i - 11, f*i + 1 = 7*i + 5*h. Solve -3*d = -0*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2927\/464 or 5?\nAnswer: 2927\/464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdk when three letters picked without replacement from lkdbq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/(a**5\/a)*a)\/a)\/a))\/a)\/a**(-4)*(a\/(a\/(a**6*a))*a)\/((a\/((a*a**4)\/a))\/a) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2492*w - 591*w + 3482*w.\nAnswer: 399*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715447 divided by 905149?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 2, n: 7, g: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2955500 by -11822.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 14105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-35)\/(-210))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 + 10 + 220 = 34*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 109\/3. Suppose 5*t - t = 0. Determine s, given that p*s**2 - 2\/3 + t*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3)\/(-3) - (4 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from ccwwwcwycycycyccc?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 95*f + 1945. Give x(-19).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, -3, 0.04, -2, 4.\nAnswer: -3, -2, 0.04, 1\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20030120213 (base 4) in base 15?\nAnswer: -2c661e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-6) + 4)*(6 + -2). What is the closest to a in 0, -6, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, s: 2}. What is prob of sequence cccc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -227990 (b) 4 (c) 6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65263*z = 65231*z + 224 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 - 24*y\/13 + 54\/13.\nAnswer: 2*(y - 9)*(y - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/24 + r**2. Let d(n) = -81*n - 36. Let u(c) = -23*c - 10. Let o(y) = 5*d(y) - 18*u(y). Calculate g(o(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 35. What is the lowest common multiple of 2 and (-14)\/7 + f + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*g - 120*g + 14170 + 3226 - 4980 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4 + 0*i**6 - 1\/6*i**3 - 67*i + 0 - 23\/14*i**7 + 0*i**5 + 0*i**2. Find the third derivative of v(s) wrt s.\nAnswer: -4140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -23, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2 + 0 + -6 - -3. Let t be 3 + (m\/(-8) - 58\/8). Put -2, -5, t, -7 in ascending order.\nAnswer: -7, -5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + (2 + -3 - (-17 - -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.796 + -8.514. What is a rounded to one dp?\nAnswer: -40.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -495243, -495255, -495267, -495279?\n\"Answer: -12*s - 495231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1272?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 128*l - 177. Let d(g) = -g**2 + 5*g + 6. Let i be d(2). What are the prime factors of c(i)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/1*(3\/(-12))\/(219\/(-438)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 27*i**2 - 136*i**2.\nAnswer: -151*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**7\/1260 - q**6\/270 - q**3 - 4. Let u(f) be the third derivative of l(f). Find t such that u(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.5 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 710, 745, 794, 857, 934, 1025?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*d = 20, -13505*d - 10 = 6*h - 13503*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 176 + 46 = -13*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*m = -12, 3*m + 8 = -n - 6. Let r(c) = -2*c + n - 7*c + 4*c. Let s be r(-2). Solve -10 = 2*a - 4*j, -5*a + s = -2*j + j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 3*q - 5. Let y be o(-3). Let i = 7 + y. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -69*b - 13. Let k be h(2). Let j = k - -153. What is the least common multiple of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(2*o**2 - 35*o**2 - 8*o**2)*(0 - 3 + 6) as f + x*o**2 + z*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24355 by -5.\nAnswer: -4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106050536 and 47288.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*(-4)\/1. Let b be 1\/(-3) - 2\/(-3). Put w, 4, b in increasing order.\nAnswer: w, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1570 - -3?\nAnswer: -156b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15707092 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284.233 and 2.\nAnswer: 568.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.175.\nAnswer: -0.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -9?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -52. Let u = 0 - 1. Let v be 0 - 0\/u - -165. What is the greatest common factor of l and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2391*n + 459078. Determine f(192).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i - 23*i + 48 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 9:55 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 792501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u - 39. Is 15 a factor of i(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 49. Let f be g(9). Let t(c) = -6*c + 6. Let s be t(f). Suppose 22*b**2 - 8*b**3 - s*b**4 + 12 + 31*b**4 - 3 - 24*b = 0. Calculate b.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 4) to base 10.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(3*(sqrt(147) + (sqrt(147) - sqrt(147)*-2)))**2.\nAnswer: -63509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14043706*g**3 - 153*g + 1179 wrt g?\nAnswer: 84262236*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:55 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1331) + 2)**2.\nAnswer: 44*sqrt(11) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**4\/12 - 4*x**2. Let a be u(2). What are the prime factors of 3 - 1\/(2\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 - 33*r**2 - 80*r + 96. Let p(t) = 4*t**3 - 18*t**2 - 40*t + 48. Let a(x) = -3*m(x) + 5*p(x). Determine v so that a(v) = 0.\nAnswer: -4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 79.97. Let a = z - -0.03. What is the smallest value in a, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 338\/(-2028)*((-70)\/25)\/7.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 16537.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17126 - -0.37126. Which is bigger: w or -0.07224?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10244130 (base 5) to base 15\nAnswer: 1ad7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, 3, -1.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87093, -174187, -261281, -348375, -435469, -522563?\n\"Answer: -87094*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -22. Suppose 67 = -u*d + 247. Suppose d = -11*a + 16*a. Let g(f) = -f**2 + 6*f - 4. What is g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - o - 152 = 0, 4 = -2*o + o. Suppose -s*z = -2292781 - 2517330. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 8. What is the units digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 74\/11, -0.5 in increasing order.\nAnswer: -0.5, -3\/7, 74\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*z - 45 = -8*h, 9 = -h - 3*z. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/6, -1\/4 in ascending order.\nAnswer: -1\/4, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 573*s - 77572\/3.\nAnswer: (s - 44)*(s + 1763)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -209, -316, -419, -518, -613, -704?\n\"Answer: 2*j**2 - 117*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 89*o - 52 + 3*o + 336.\nAnswer: -51*o + 284","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 132 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*l - 34*l. Solve -60*x + 46*x - 28 = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(-9*22\/(-297))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*w - 2*q, 3*w - 4*w = 4*q + 1. Let p = 2 + 1. Suppose 0 = z - p*z. Solve z = 4*m + n + w, 4*m = -m - 3*n - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 7 + 14. Suppose j*a = 70 - 0. Is 11 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/104)\/((-2154)\/4667).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2742\/15 - ((-14)\/10)\/7 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (8 + -5)) + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/52)\/(2\/(-16)). Suppose -2*f + 48 = k*v, -24 = -4*v + 3*f + 72. Find the first derivative of -11*s**3 - 10 + 24*s - v*s - 6*s**3 wrt s.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.769025 to 2 dps.\nAnswer: 29.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*u + 3*a = 213*u + 29 + 47, 4*u = 3*u - 4*a + 33 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 15) to base 11.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v**(-6\/7)\/v))))**(-12)*(v**(2\/7))**(-50) assuming v is positive.\nAnswer: v**(-256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 4*s + 4, -4*v - 5*s + 5 = 0. Is 1\/5 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.041 - -2.959. What is the second biggest value in -0.4, 0.1, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Sort 1, y, 6.\nAnswer: 1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - 16\/(-8). Suppose 5*h - k*q - 127 = 0, -4*h - 6*q + 108 = -2*q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16731542*u**3 - 14616049*u**2?\nAnswer: -100389252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 8*n + 10. Let k(v) = 3*v - 6. Let p be k(5). Let d be m(p). Which is the nearest to -1\/3? (a) -1 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -16*f - 0*f + 67177. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/((-655)\/(-645) - 1). Calculate the lowest common multiple of 11 and 8*7\/(-14) - a.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5\/3*t - 10 + 35\/3*t**2 = 0.\nAnswer: -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 3 (c) -2\/9 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 10. Let f be l(-7). Let g be -11 + 8 + f*1. Solve g = -o + k, o + 3*k = -3*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -20.5289.\nAnswer: 21.0289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**22)\/l*l**(-29)*(l\/(l*l**(30\/13)\/l))\/(l\/l**(2\/25)) assuming l is positive.\nAnswer: l**(-17299\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33695332?\nAnswer: 2, 11, 29, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:59 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -56*a + 61 + 27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.417 minus -8.08?\nAnswer: 66.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from zdzszcc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 36. Let f be m(0). Let x be (-2)\/(-4) + 10\/f. Let r = 10 - 12. Which is the third biggest value? (a) x (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let o(w) = 6*w + 7*w - 12*w. What is o(n(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*y = -2849*y + 54298 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51319 is divided by 3553?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5 - 2 - 2*z - 2*z + 1 - 1 + (1 + 2*z - 1)*(-4 + 0 + 2) - 28*z + 3*z + 13*z.\nAnswer: -20*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = -2*t, 5*o - 105 = -3*t. Suppose -m + 5*m + 4*k = o, 14 = 2*m + 4*k. Suppose b + 4*b = -m. Is b bigger than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174639553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u + 3. What is the remainder when 93*(((2 + 4)\/6)\/1)\/3 is divided by y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 - 13 = -3*b, 0 = -2*b + 4*f - 8. Let x(i) = i**2 + i + 6. Calculate the remainder when (24\/(-5))\/(b\/(-20)) is divided by x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4413970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1270 >= -8752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298946 is divided by 148899?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -230?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6324 + 18973\/3. Factor s*u - 1\/2 + 1\/6*u**2.\nAnswer: (u - 1)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - 433. Solve g = i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 9*u - 29367. Suppose -2*d - 589 = -u. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 35*x**3 - 28. Let q(u) = -u**3 + 1. Determine -28*q(m) - r(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2532467456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 2896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -2\/9, 81\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Suppose q*j = j + 4. Suppose -2*o + 364000 = -j*o. What is o rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2*(-2)\/(-4). Let l = -1.4 + -10.6. Let w = -8 - l. Which is the nearest to v? (a) 1 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k - 58*k = 120 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41362300213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2040675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3124408 and -272692.97.\nAnswer: -272693.2824408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (736209\/(-648))\/149 + 0\/(2*1) and (-1)\/(-4) + 32\/(-21).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -301\/30 (c) -0.201 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3175722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628 divided by 33389?\nAnswer: 2628\/33389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(972))\/sqrt(4) + (sqrt(300) + 2 + sqrt(300) + sqrt(300) + 4)**2 + 1.\nAnswer: 396*sqrt(3) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(1\/8)))**(-8\/3)\/((q*(q\/(q\/(q**(-2\/19)\/q)))\/q)\/(q*q**(4\/3))))**(-40) assuming q is positive.\nAnswer: q**(-2360\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + (284 - 185) - (39 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -22*p + 153. Let v(f) = -8*f + 51. Suppose -3*a - 19 = 2*g, -2*a = 3*g + 4 + 17. Let m(u) = a*w(u) + 8*v(u). Find the first derivative of m(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91935 is divided by 3169?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45792 or -503714\/11?\nAnswer: -45792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5914?\nAnswer: 2, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 - 297. Suppose 12*r = z*r + 952. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(98) + sqrt(98) + sqrt(98) + 2 + -5)**2 - (3*(sqrt(98)*-1)**2 - sqrt(98) - (5 + -2 + sqrt(98))).\nAnswer: -238*sqrt(2) + 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiji.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2a15 (base 14) to base 9\nAnswer: 11216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 213322985 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-7\/3)*h)**17*(h\/h**(1\/11))**27 assuming h is positive.\nAnswer: h**(623\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.527 to two dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6496 = 2*v, 5*p - 5454 = -3*v + 4292. List the prime factors of v.\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.21.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 1. Suppose 0*v + 5*v - 15 = 0. Let a(b) = -v + 4 - 2. Suppose -56*c - 288 = -344. Calculate c*a(o) + l(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12272 (b) -4 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 0*l**2 - 7*l**2 - 7*l - l + 2*l**3 to the form x + w*l**3 + f*l**2 + r*l and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, k: 2}. What is prob of picking 1 s and 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(936)\/sqrt(2) - sqrt(13))**2.\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 - 7*i + 5. Suppose 5*f - 4*f - 5*y = 3, -4*f + 3*y = -12. Let a(s) = -s**2 + 4*s + 2. Let w be a(f). Is p(w) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5380 and 109\/80160.\nAnswer: 21563040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1740 + -1737. Let r(f) be the third derivative of f**2 + 0 + 0*f - 5\/3*f**w + 3\/20*f**5 + 0*f**4. What is the first derivative of r(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4764351, 4764362, 4764387, 4764432, 4764503, 4764606, 4764747, 4764932?\n\"Answer: d**3 + d**2 + d + 4764348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14671641 or -234746277\/16?\nAnswer: -14671641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5278, 9057, 19324, 39325, 72306, 121513, 190192?\n\"Answer: 541*b**3 - 2*b**2 - 2*b + 4741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 3501750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30059208.7 + 136.1?\nAnswer: -30059072.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 41*b**2 - 17*b + 775. Give y(-40).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8670718925 + 8670719046.99999849. Let u = 122 - p. Round u to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 6\/3*15\/(-10). Which is smaller: j or -12\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 6. Suppose -k + 3*n + 4 = -n, 4*k + 5*n = 16. Suppose -k*j + 24 = 3*l, 5*j = -0*j + 2*l + o. Do j and 3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23965 = -12*j - 23989 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 16*h + 1104 = 0. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12975.0024822 + 12975. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 4*g + 100. Suppose 2232*j + 12 = 2234*j, -399 = -3*r - j. Let b = r + g. Calculate the greatest common divisor of b and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k - d - 854, -8*k + 21 = -4*k + 3*d + 165 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1491, -5668, -12539, -22104, -34363, -49316, -66963?\n\"Answer: -1347*i**2 - 136*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -8*x - 2*x**2 - 2*x**3 + 12 - 1\/4*x**4. What is b(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + 4*(sqrt(720) - 1*sqrt(720)) + 1*sqrt(720) + 3)**2 + 1.\nAnswer: 192*sqrt(5) + 2897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*y**3 + 2*y**2 - 16924*y - 149636899 wrt y.\nAnswer: 138*y**2 + 4*y - 16924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 75 (b) -51 (c) 0.1 (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78 + -33 - 37) + 27.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-3885889\nAnswer: -388588.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 times -0.2?\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -158. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w - 150. Let h be (-8)\/18 - 12\/(-27). Let t(q) = 12*q + 17. What is the remainder when w is divided by t(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (56 + -50 + 27)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00254102 rounded to six dps?\nAnswer: -0.002541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 3\/5, -5, 79?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6.7. Let w = m - -0.3000054. Round w to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3148314810740\/43 - 73213207949. Let t = -1418163354201\/415208 + l. Let c = 2\/1207 - t. What is the common denominator of c and 83\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173671 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**3 - 21*b**3 - 23*b**3 + 71*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 100 + 101)*(18*j**5 - j**5 + 0*j**5).\nAnswer: 2822*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(11) + 2 + sqrt(11) + sqrt(11)))**2 + 2 + sqrt(11)*-1 + sqrt(11) + sqrt(11) + sqrt(11)*-1*-6 + sqrt(22)\/(sqrt(8)\/sqrt(4)).\nAnswer: 308*sqrt(11) + 2577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19764*g**2 + 244*g + 244. Let a(o) = -244*o**2 - 3*o - 3. Give 244*a(c) + 3*w(c).\nAnswer: -244*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1314 = -12*j - 618. Let d = 161 + j. Determine u, given that 0*u - 4\/21*u**4 + 0 - 2\/21*u**5 + 0*u**3 + d*u**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85) - 3*sqrt(85)))))*-4)\/(6*-2*sqrt(605)).\nAnswer: -2 + 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19424 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20*17\/(-34)*(-32)\/36.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 53. Sort g, -1, -2, 1 in decreasing order.\nAnswer: g, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 v when three letters picked without replacement from xvrv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b3cc9 + 1?\nAnswer: 2b3cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-145)\/(-15) + 2\/6. Suppose m = -4*z + j, -5*m + 1 = -4*z - 1. Suppose -12 + 4 = -m*w. Solve w = r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 376116373 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-313*s - 179*s + 129*s)*(8 - 5 + 24).\nAnswer: -9801*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -37\/12*y**3 + 35\/18*y**4 + 0 + 3\/2*y**2 + 5\/6*y**5 - 146*y. Factor d(m).\nAnswer: (m + 2)*(10*m - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 - 1186 - (-4 + -82) - (159 + -1)\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 + 30836*p**4 - 185188*p**3 - 216020*p**2 = 0. Calculate p.\nAnswer: -7715, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20692 - 17373 = y - 85*i, 3*y - 5*i - 207 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*3\/(-2). Let n = -3 - u. Let t(z) = -2*z**3 - 4*z**2 - 3*z - 1. Give t(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 - 1512*u**3 + 74036*u**2 - 272208*u = 0.\nAnswer: 0, 4, 53, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*g. Let f = g + 4. Suppose -2*u = -3*u + 4*l - 1, -f*u = 3*l - 34. Calculate the lowest common multiple of 9 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1.3, 5, 2\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 0*y - 6*y - 7*y + 22*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*i - 6 = -49, -5*f - 4*i + 125 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/((-14)\/100506) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4980*a - 34905. Determine f(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7590\/(-6072))\/(-10*(-4)\/(-32))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0571 and 189.684.\nAnswer: 10.8309564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334662 and 6018.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 1 = 1. Suppose -7 + 3 = m. Sort z, m, 1, -1 in ascending order.\nAnswer: m, -1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-228)\/42)\/(4\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Suppose -2*i = -b - 3*b, 0 = k*i - b + 7. Let j(s) = 4*s**2 - s + 2. What is the least common multiple of j(i) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2 - 18. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404771283?\nAnswer: 89, 2111, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5049\/(-1122))\/(18\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14499*g**2 - g + 2. Let d be v(-2). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -239, -240, -241, -242, -243?\n\"Answer: -t - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2117*a**3\/3 - 2*a**2 - 5*a + 4. Let y be j(-4). Let w = y - 65583. What is w rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-20)*(-25)\/(-25)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711458 to the power of 1\/2, to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Which is the third biggest value? (a) -0.5 (b) -0.01 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(98) + 2 + (sqrt(98) + 1 - (0 + sqrt(2))*-6).\nAnswer: 2 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10080 and 658539.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4002, 0.2, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9203, -73533, -248163, -588239, -1148907, -1985313, -3152603, -4705923?\nAnswer: -6700419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (1 + 33\/(-6))*48\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 5) to base 12.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2235, -1820, -1129, -162, 1081, 2600?\n\"Answer: 138*j**2 + j - 2374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (sqrt(1216) + -3)) + 4) - 4*(sqrt(1216) + -2)**2.\nAnswer: -4887 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 30. Let c(o) = -12*o**2. Give c(u(a)).\nAnswer: -12*a**2 + 720*a - 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -31 in descending order.\nAnswer: 5, 4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/148896 and 107\/3201264.\nAnswer: 6402528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -214731590 divided by 5185?\nAnswer: -41414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/2)*r*r**(-8)\/r)\/((r**(1\/3)*r)\/r**(-5)))**(-47) assuming r is positive.\nAnswer: r**(3619\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 125\/14. What is the common denominator of f and ((-3)\/(-6))\/((-8)\/102)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y. Let a(q) = 2*q**2 - q - 2. Suppose 3*w + 18 = 21. What is w*a(j) + s(j)?\nAnswer: 3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.353622 decades?\nAnswer: 42.43464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:47 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 36. What are the prime factors of 132\/s*(-6)\/(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:07 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*k - 65*k + 5*k**2 + (-k - 3*k + 3*k)*(-5*k + k + 2*k))*(3*k**2 - 4*k**2 + 3*k**2).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.01 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -f - 5, o = 3*f - 14 - 4. Suppose -2*v + f*v = -b + 228, 3*v - 128 = -5*b. What is the greatest common divisor of v and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g**2 - 5*g - 4. Calculate s(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 3\/8, 5, 2, -59\/73?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.674 rounded to one decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 258*k + 6. Let u(h) = -37*h - 1. Give 2*s(o) + 15*u(o).\nAnswer: -39*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3552966.\nAnswer: 2, 3, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -547?\nAnswer: -4\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.006, 2\/21, -0.37787 in decreasing order.\nAnswer: 2\/21, -0.006, -0.37787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28870*p*x - 806968793*p + 6350*x wrt x.\nAnswer: 28870*p + 6350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.22. What is the second biggest value in 2, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-1)\/((-16)\/18))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5996772 and -5.\nAnswer: -29983860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7016 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbbjjj. Give prob of sequence bb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -626215 divided by 5?\nAnswer: -125243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606 = 2*i - 388. Suppose -4*o = i - 4705. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*-2)\/(sqrt(20)\/(sqrt(16)\/sqrt(4) + sqrt(4))) + 3.\nAnswer: -28*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(2736) - (sqrt(2736) - (sqrt(2736)*2)**2)) - sqrt(2736) - (sqrt(2736) + -1 + sqrt(2736))**2*-5)*-6 + -5.\nAnswer: -7560*sqrt(19) + 1970095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 7*t - 6916. Suppose -3*b + 4*f + 756 = f, -2*b + t = -4*f. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121094 and 1146?\nAnswer: 363282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m. Let t be k(-1). Solve -t*g + 11 = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/280 - w**5\/24 - w**3\/2 + 3*w**2. Let x(h) be the first derivative of i(h). What is the second derivative of x(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j - 2*j + 5*j)*(3 - 5 - 4) - 52*j + 120 - 237 + 120)*(-4 + 4 - 2).\nAnswer: 164*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - d**2 + (33 - 11*d - 33)*(5 + d - 5))*(0*d - 2 + d + 0*d).\nAnswer: -12*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2697545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*y**3 + 88*y wrt y.\nAnswer: 1890*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let l(d) = -3*d - 1324. What is l(a(g))?\nAnswer: -3*g - 1324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 37*c - 227. Calculate the remainder when m(8) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -635 - -643. Solve 0 = -t - 4*g + 7 - 5, 4*t + g = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:43 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 6*w**2 - 4*w - 16*w**2 + 17*w.\nAnswer: -w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*1 + -3 - (0 + sqrt(1088) + 1 - sqrt(1088)))**2.\nAnswer: -88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -x - 5*y, x - 3*x + 37 = 5*y. Let j be x\/2 - (-11 - 5). What is the greatest common factor of 209 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*z + 52 = 2*f, -4*z = -4*f + 40. Solve 5*y + f = 9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4591.9 + 4613.023. What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.03.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i - 149. Let y be o(5). Let w = -0.314 - -20.814. Which is the closest to y? (a) 0.4 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((8 - (6 + 8 - 0)) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1a5 (base 11) to base 3.\nAnswer: 200120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12409, 0, 2.8 in descending order.\nAnswer: 12409, 2.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 11*r + 9. Let m(n) = 2*n**2 - 11*n - 10. Let t(o) = -4*m(o) - 5*p(o). Is t(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(-3\/5)\/v)*v)*v))\/v)**(-20\/11) assuming v is positive.\nAnswer: v**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1.2 (b) -2\/33 (c) 7\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37 + -156658\nAnswer: -156695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35352748.9500173 - -35352751. Let z = d + -2.05. Round z to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132436 divided by -2066218?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 96003203 times -0.1?\nAnswer: -9600320.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847))*-1 + -5*sqrt(847)*1)**2 + 3 + (1 + sqrt(847) + -2 + sqrt(847))**2.\nAnswer: -176*sqrt(7) + 33885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-65)\/26*(-1 + -1). Suppose -y*i - 7 = 3. Let s be (33\/77)\/(i\/(-14)). Solve 2*b - s*w - 1 - 10 = 0, 0 = b - 4*w - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0) + 9\/6. Let z be 18\/225 - (-44)\/75. Is z smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18625 - -18620. Let d(a) = -a**3 - 3*a**2 + 6. Let y(g) = -g**3 - 5*g**2 + 11. What is p*d(q) + 3*y(q)?\nAnswer: 2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48491.\nAnswer: 48491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 4*i + 0 + 4*i**2 - 4 + 8*i - 1 as a*i**2 + k + l*i and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11))**(-2\/57) assuming f is positive.\nAnswer: f**(-4\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/441 + 206\/42. Let j be 26\/(-48) + l\/(-15) + 1. Which is the smallest value? (a) -2\/13 (b) 5 (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725*b + 254 with respect to b.\nAnswer: -725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 18, 5*q - 1197 = -47*x + 50*x. Let t be (-5 + 32)\/(2 + -1). What is the greatest common divisor of q and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1348757 millilitres to litres.\nAnswer: 0.0001348757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**3 - 3*u**4 + 4*u**4 - 2*u**2 + 2*u - 14*u**3 - 1 + 5*u**2 to the form h*u**3 + z + l*u**2 + m*u**4 + f*u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g**2 + 2*g**3 + g**3 - 2*g**3 + g - 8*g**2 + 1. Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*x + x**2 + 186*x - 39*x - 5*x**2 as n*x**2 + z*x + q and give z.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 4*r + 3. Let n be h(5). Let t be (2\/(-4))\/(1\/(-4)). Suppose 0 = -3*a + 2*i + n, 2*i = -3*a - t*i + 2. Solve 4 = v - a*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 5*a + 4. Let t(k) = -13*k**2 + 11*k - 7. Calculate 7*q(c) + 4*t(c).\nAnswer: -3*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 - 19*h**3 - 85 - 10*h - 5*h + 15*h.\nAnswer: -2*h**3 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 268 = 97*u. Let g(a) = -a + a - 4 + 4*a - 3*a. Let i(y) = -2*y + 5. Determine u*g(m) - 3*i(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 2*b + 18, 2*r = 2*b + 18. Let p(o) = -r*o**2 - 7 + 3*o**2 + 1 + o**2 + 4*o**2. Let a(g) = 2*g. Determine p(a(l)).\nAnswer: -20*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227147300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*m = 6, -2*m = -0*u - 3*u - 6. Let c be 26\/u*(8 - 9). Let l be c + 1*(2 - 0). Solve -2*s = 3*s - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 50*p**2 - 23*p + 74. Calculate the least common multiple of m(3) and 325.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -20. Let p(g) = 5*g**3 + 18*g**2 + 33*g + 17. Let b(h) = -3*h**3 - 9*h**2 - 17*h - 9. Let f(s) = z*p(s) + 7*b(s). Is 23 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -6*m + 7*m. List the prime factors of (m\/(-10))\/(2 + 42\/(-20)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(3*11\/(-462)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-140)*10*-1*2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iekkvieekeaekke. Give prob of sequence ikkk.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:14 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16698797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 8. Let y be g(6). Let a = -860 + 896. Suppose -2*c + y*z = c - a, c - 4*z - 22 = 0. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.1, -134 in ascending order.\nAnswer: -134, -0.1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - -100?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*d + 33 = 0, -2*d + 15 = 3*d. Let q = -3 - -3. Let r be 6 - (q + 0 - 2). Solve n = 5*i + 3*k, -k - 4*k = -4*i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71c10c (base 13) to base 5.\nAnswer: 1134413112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, f: 1, l: 2}. What is prob of sequence fn?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-40)*1)\/(1521\/(-17745)).\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 396 = -3*r + z, -2*r + 242 = 2*z. Suppose -5*c + r = 10. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6667 and 1660?\nAnswer: 11067220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.14 and 40023?\nAnswer: 45626.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10436055, -10436064, -10436071, -10436076, -10436079, -10436080?\n\"Answer: w**2 - 12*w - 10436044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 521 + 14535?\nAnswer: 15500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 373160.\nAnswer: 1\/93290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9172599.06128 - 9173298. Let v = -699 - m. Round v to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -144510051?\nAnswer: 144510055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 1\/3, 1231\/3, -42, -0.2, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1.1 (c) -5 (d) -0.01807 (e) 1\/6 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44520, -89042, -133564, -178086?\nAnswer: -222608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 2 n when four letters picked without replacement from rrrzrnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + o = 7, 0 = 904*v - 903*v + 2*o - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -9226 - 41630. Let r = g - 1172. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 15*r**2 - 10*r + 9. Suppose 4*y - 48 = -2*v - 2*v, 0 = -4*v - 3*y + 52. Let a be d(v). What is the highest common divisor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 - 25*i**2 - 5*i - 18. Calculate the remainder when s(-11) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, -132, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 - -101.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**3 + 9285*x**2 - 3*x + 2552 wrt x.\nAnswer: 3*x**2 + 18570*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.025 - 0.007. Let l = c - 20.018. Put 2\/7, 0.3, 2\/15, l in decreasing order.\nAnswer: 0.3, 2\/7, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**5\/35 - 3*k**4\/7 + 16*k**3\/21 + 468. Let g(j) = 0. Calculate j.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*96\/(-4). Let x = c + 45. Is (1\/(-2))\/(x\/(-3582)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17404 = h, 1829 + 2525 = x + h. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 14*o**2 + 17*o - 32. Let f be y(15). Put -17, 3, 1, f in descending order.\nAnswer: 3, 1, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(300) + 0 + sqrt(300) + 1 + sqrt(300) - sqrt(300)) + 4 - 3*(-6*(1 + sqrt(300)) - sqrt(300))*6)**2.\nAnswer: 254880*sqrt(3) + 4188859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1094*m**2 - 1083*m**2 + 2169*m**2. Let w(a) = -6*a**2. What is -6*h(x) + 12*w(x)?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4 + (-106)\/(-26)). Let f = u - -5. Sort 3, 4, f in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, 1221 in ascending order.\nAnswer: -5, -4, 4, 1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*x**2 - 230*x**2 + 1440*x - 1438*x.\nAnswer: -3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12850 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 k(s) = -1 + s + 669*s**2 + 9*s**3 - 672*s**2 + 21*s**3 + 13*s**3. What is the units digit of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9161.685 days to milliseconds.\nAnswer: 791569584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004362462 to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.872. What is f rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4564 and 103\/9128.\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Suppose -6 = 7*k - 4*k. Let u = j + k. Solve 0 = -u*i - 2*v + 15, 2*i - v = -6*v + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 4*t - 3*t)*(8 - 2 - 1).\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 34. Let l be w(14). Let u = l + 44. Suppose a + 3*a + u = 0. Is a at most -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/48 + 2\/(-8). Let l be h\/2 - (-2)\/(-4). What is the closest to -0.2 in l, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*v - 291*v = -2*t + 10, 4*v - 2*t = -24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007658 to five decimal places.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*j + 3 - 4*j**2 + 2*j**2 - 1 + 2*j**3.\nAnswer: 2*j**3 - 2*j**2 + 410*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 102. Let w = -24.123 + b. What is w rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbobbbboyybbobbb. What is prob of picking 1 o and 1 b?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**3 + 8*y**2 + 5*y - 2. Let m(v) = 11*v**3 - 17*v**2 - 11*v + 4. Determine -9*j(q) - 4*m(q).\nAnswer: q**3 - 4*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/22 and 7\/2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*p**2 + 2\/3 - 1\/3*p = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 1. Let t(h) = 4*h. Give -5*t(y) - 4*u(y).\nAnswer: -8*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-2)\/((-12)\/(-9)))*(-1)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s - 12 - 17 - 34*s - 11. Is i(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/14 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 2 + 2)*(0*v + 3*v - 2*v) + 1521*v**2 - 6206*v**2 - 8779*v**2 as d*v + g*v**2 + b and give g.\nAnswer: -13462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 157*j - 3019 = -489 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s - 7*s - 7*s + 3*s - 2 + 0. Let h(i) = i + 1. Give 4*h(a) + q(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*u - 50 = -641, u = 2*a - 236. Suppose 15 + a = 5*g - j, 4*g - 3*j = 116. Is g at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 420\/5306353 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 39*f + 16 = 0, 0 = -3*m + 3*f - 390. Which is smaller: m or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -361*t**4 - 2376*t**3 - 4373*t**2 - 1963*t + 864. Let i(a) = -20*a**4 - 132*a**3 - 243*a**2 - 109*a + 48. Let p(u) = 6*b(u) - 106*i(u). Factor p(n).\nAnswer: -2*(n + 2)**3*(23*n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**6\/540 + 11*x**5\/180 - 155*x**3\/3 - 230. Let f(t) be the third derivative of r(t). Find c such that f(c) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let f be (-1 + 7\/3)*3. Let q(m) = -m**3 + 3*m**2 + 3*m - 4. Let b be q(f). What is the units digit of o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4431 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.3 (c) 0.4 (d) -4 (e) 5 (f) -0.0191\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -0.123 (c) -2 (d) -0.96 (e) -0.5 (f) 2 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 + 0*d**2 - 4*d**2)*((0*d - 2*d + 3*d)*(2*d - 4*d + 4*d) - d**2 - 121 + 0*d**2 + 91) as o*d + u + s*d**2 + j*d**3 + b*d**4 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let p(v) = -24. Suppose -4*r = -4*i - 76 - 12, -2*i - 2*r = 52. Let z(m) = m + 2 - 2*m - 1. Let c(l) = i*z(l) - p(l). What is j(c(x))?\nAnswer: -1152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 7.7. Let z = 4 + i. Let x = -2\/297 - 881\/1485. Sort x, z, -5.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 621 and 30543840519?\nAnswer: 30543839898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*a**2*m**2 - 131*a**2*m + 6*a*m - 2*m**2 + 2294*m wrt a?\nAnswer: 128*a*m**2 - 262*a*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 1 + 5*q + 2*q**2 - 2*q - 2*q. Suppose 7*p - 2*p = 15. Determine c(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1364 - 4*k - 6*k + 682 + 682. Let w = 20 + -7. Let g(c) = 7*c. Let r(o) = -15*o. Let b(i) = w*g(i) + 6*r(i). What is b(f(d))?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -9. Let q = -2 + c. What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600 times 5.97?\nAnswer: 15522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-5)\/r)\/(r*r**(-2\/23)))\/(r\/((r**(-4)*r)\/r))**(-9))**(-22) assuming r is positive.\nAnswer: r**(-19778\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3149*b**3 - 3276 with respect to b.\nAnswer: -9447*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -8, -5*p + 2*d + 8 = -6. Sort 3, p, 10.\nAnswer: p, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 6928 (c) 4 (d) 0.0276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1280090 and 19\/329166?\nAnswer: 11520810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -647, -5, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 + 71 = 0. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 325 - 371 = 458. Calculate the greatest common divisor of m and 6720.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(2 + (-3*(3 + sqrt(2)))**2).\nAnswer: 864*sqrt(2) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -11*o + 63. What is the lowest common multiple of o and 15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23182*-0.0296.\nAnswer: -0.006861872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12100 + -114?\nAnswer: 11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let w = 4 + f. Suppose -y + 4 + 0 = w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2 - 859*p + 744 with respect to p.\nAnswer: 4*p - 859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(-1*((sqrt(468) - (sqrt(468) - (-2 + sqrt(468)) - sqrt(468))) + sqrt(468)) + -6*(sqrt(468) - (-2 + sqrt(468)) - sqrt(468)))**2.\nAnswer: -12935 + 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21437 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 27 + 3. Suppose p*a - 15 = 5*a. Suppose -2*r - a + 5 = 0. What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2170.7 - -2171. Which is the third smallest value? (a) -0.64 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 1278*i**2 - 41040*i = 0 for i.\nAnswer: -30, 0, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**4 + 3*o**2 + 4. Let v(z) = -2 - z**2 + 3 + 0*z**4 - z**4 + 2*z**4. Let s(u) = -t(u) - 3*v(u). Find the first derivative of s(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 75*a**5\/7 - 45*a**4 + 297*a**3\/7 + 219*a**2\/7 - 360*a\/7 + 108\/7 = 0.\nAnswer: -1, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:19 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.75, -2\/15, 3, -4, 2\/9 in descending order.\nAnswer: 3, 0.75, 2\/9, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104728*c**2*o**5 + c**2*o**2 + 1463*c**2 + 11*o + 2 wrt o?\nAnswer: -2094560*c**2*o**3 + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o - 3 = 0. Suppose 0 = 4*l, -o*j + l = -j - 2. Solve 14 = -3*v - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4329191 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = k - 161. Let j be k\/14 + 8\/14. Suppose -5*t + 3*y + 11 = -y, t = -4*y + j. Calculate the highest common factor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191906 and 1525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/1675 - -3187\/273025. Let o = q + -14511\/326. Calculate the common denominator of (-1026)\/308 - (-6)\/21 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4353420 divided by 9805?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Let v(h) = -8*h - 45. Let u be v(-7). What is q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16856 and 128282.\nAnswer: 22064504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = -10*s + 20*s. Is 62 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516917379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298586 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 2 - 3\/9*0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38.24 in 0, 2\/9, 2, 2\/5, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/5 and -103\/552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f**2 + 20*f + 67. Let m be n(-4). Solve m*s + p - 10 = -8, -p - 3 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-15))\/(11123\/1135).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/709 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2014*y - 126882. Give a(-63).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3536 divided by 208?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*z, -2*k = 4*z + z. Let a be 22*(324\/8)\/(-9). Let j be 330\/a*(6\/(-4) + 0). Solve 10 = j*l - k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 * -0.1\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 210176*x + 2760871936.\nAnswer: 4*(x - 26272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 2. Let j(g) = 3*g**2 - g + 59. Determine j(b) - 2*v(b).\nAnswer: -b**2 - b + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -7 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1672 and 22373516.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339.3 + 320. Let m = d + 19. What is the third biggest value in 0.3, -2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3455215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Suppose -16 = z + 3*b, 4*b = b - 15. Let k = 0 - z. Let c(n) = 3 - 2 - n - k. What is f(c(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 387 - 411 = 0. Sort 0, -123, d.\nAnswer: -123, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64159.\nAnswer: 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 138909.48 rounded to the nearest 100?\nAnswer: 138900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 336307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139 times 0.2?\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Let n(s) = -3*s**2 - 3*s**2 + 5*s**2 - 2*s + 2. Let b(a) = -2*i(a) - n(a). Let x(o) = -2*o**2. Give b(x(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) -158 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 36, -11, -68, -141, -236?\n\"Answer: -g**3 + 4*g**2 - 48*g + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 55 = 3*r, -3*y = 4*r - 61 - 20. Suppose -225*m = -220*m + 45. Let u = y + m. Calculate the smallest common multiple of u and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1207664658*p**3\/13 + 78498399354*p**2\/13 + 12777968*p\/13 + 40.\nAnswer: 2*(p + 65)*(24573*p + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-1\/3)*j*j)\/j*j)**(-2\/17)*(j*j**1\/j)**(-7\/6))**(-2\/55) assuming j is positive.\nAnswer: j**(151\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 9:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -108778 divided by -1?\nAnswer: 108778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5131, -5077, -5035, -5011, -5011, -5041?\nAnswer: -5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3996303 litres to millilitres.\nAnswer: 399.6303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l**4 - 7*l**3 + 6*l**2 - l + 4. Let o(i) = 16*i**4 + 8*i**3 - 6*i**2 + 2*i - 5. Let q(b) = -5*g(b) - 4*o(b). Solve q(x) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177951031 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 - 1089*f + 906*f in the form q + k*f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 0 (c) -19386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((34034\/231)\/(-26))\/((-1)\/(-6))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/4 + p**3 + 3*p**2 - 25*p. Let l(r) = 2*r**2 - 5*r - 5. Determine -6*l(h) - 5*y(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 < -16476\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**2 + 9*z**2 + 12*z**3 + z**4 + 7*z**2 to m + h*z**3 + s*z + v*z**2 + f*z**4 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 6*t + 5*o + 803, -4*o + 830 = t. List the prime factors of t.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/50 - (-1009752)\/600?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*m**5 - 341*m**5 + 3967*m**2 - 264*m**5 + 3358*m**2 wrt m?\nAnswer: -25260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1312)\/180 + 4\/10 and (-1212)\/81 - (2080\/8)\/(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 29 - 93 = -w, 4*u - 88 = -2*w. Let j = 91 - w. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.5336 - -37.59. Let b = 204.37 - 204.4264916. Let k = w + b. What is k rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-32 + 16 + 28)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/14 and -55\/848.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 24615.49 days?\nAnswer: 2126778336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 145*y - 4885. Give j(94).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, -2, 1215, -17, -9, 3 in increasing order.\nAnswer: -37, -17, -9, -2, 3, 4, 1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 494 + -1287. Let p = x + 497. Let a = p + 473. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + l - 14 = 0, -5*d + 3*l + 20 = 11. Suppose m - d = 6. Calculate the remainder when 16 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270512579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*z**2 + 333*z**2 - 84*z**2 - 90*z**2 - 92*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 - 107.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -224931, 3, -2 in increasing order.\nAnswer: -224931, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 1227.\nAnswer: -1227.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2035398 - 0.2\nAnswer: -2035398.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12))\/((-85)\/((-169830)\/(-36)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 199 + 451)*(-c - 3*c + 6*c)*(4 - 3 - 3).\nAnswer: -3516*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 3, 9, 2 in increasing order.\nAnswer: 2, 3, 9, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(0 + 1 - 3)*(0*s**3 + s**3 + 0*s**3)*(-s - 3*s + s).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12899315 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 47*c + 52. Solve -a - 3 = -5*n, c*a + a = -15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175125829 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/13 + (-66904)\/19734. Let v = l - -160\/33. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:45 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94525)\/3980 - -2*9?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 160 (c) 0.3 (d) -0.563 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.47499 grams to tonnes.\nAnswer: 0.00004447499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458460.\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14370560003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6713483 (base 10) to base 9.\nAnswer: -13562145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1804209743+38\nAnswer: 1804209781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let k be 2 - y*1\/2. Let p(v) = -v - 2. Let m(o) = -2*o - 4. Let q(r) = -r - 2. Let h(w) = -6*m(w) + 13*q(w). What is k*h(u) - 4*p(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5943051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-5 + 7 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 + 650203603.\nAnswer: 650203734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7*m + 3*m = 0, -m + 11 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 38. Suppose -3*j - t*x + 95 = 3, -108 = -4*j - 3*x. What is the least common multiple of j and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1333+0.06844\nAnswer: 1333.06844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 14*f + 44. Let a be x(9). Let n(v) = -5*v**2 + v - 2. Let z(r) = -r**2 + r - 2. Let c(b) = a*z(b) + n(b). Let t(k) = 28*k. Calculate t(c(g)).\nAnswer: -112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196 + 220. Does 3 divide (-16)\/x*(-6)\/4 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1441 = 4*x - 1405, -2*x + 7*q = -q - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.2. Suppose 3*w + 3 = -2*j + 26, w - 5 = -2*j. Let v be ((-2)\/3)\/(12\/w). Which is the closest to v? (a) r (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 9*i = -174057620. Let y = 18511524 - i. Round y to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((140\/(-15))\/((-52)\/78))\/(-1*18\/2).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66178 - 66175. Let 2\/11*u**4 + 8\/11*u**i + 8\/11*u**2 + 0 + 0*u = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -33.56. Round m to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 79*o**2.\nAnswer: 79*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1760 * -1\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67910000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 53*f + 30. Let g be x(-27). Suppose 2*i = -2*w - 71 - 43, -94 = 2*i - 3*w. Let k = i + g. Solve 0 = -3*o + 2*h + 3, o - h - 1 = k*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2675 - 535 = -10*a. Let n = 269 + a. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/(r*r*r*r**10\/r*r) assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xixxxxi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*b + 104*b + 6034. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3160*a**3 - 5*a**2 - 41*a + 1.\nAnswer: 18960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*z + 0*z + 16 = 0, -3*r = -5*z + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 2*g**2)*(-7*g**3 - 14 + 14).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -4, 1348?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -537 - -549. Suppose m*i = 15*i - 23397. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -81180500*a**2. Let w(h) = h. Give r(w(z)).\nAnswer: -81180500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907672206?\nAnswer: 2, 3, 21739, 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 8*b + 11 - 2*b**2)*(-b + 6*b - 4*b).\nAnswer: -2*b**3 + 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, v: 3}. What is prob of sequence vvj?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11120*v - 10933*v - 561 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 656*f - 2357. Give x(3).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y + 3. Suppose 0 = f - 18 + 11. Suppose 5*k + f*k - 108 = 0. What is the remainder when r(-6) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.668761 grams in micrograms?\nAnswer: 3668761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 5, s: 2}. Give prob of picking 2 s and 1 i.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5, -7\/46?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3856533484536 and 9.7.\nAnswer: -3856533484526.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 10. Let m = -22 - v. Let d = 0 - m. What is the remainder when 17 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -23*y - 32. What are the prime factors of n(-12)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 1. Let m be g(0). Let t be (m - -3)*(-5 + 15). Solve 5 = 3*y + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 + 7. Let n be v(6). Suppose a - n - 11 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213602 - 4?\nAnswer: -213606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 8*x + 1 - 7*x. Let h(n) = n**3 + 2*n**2 - 2*n + 1. Let u be h(1). What is l(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 0.1, -95, 2, 4, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-238)\/(-85))\/((-24)\/3)*-24*1\/1.\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let g(y) = y - 4. Let i(t) be the third derivative of t**4\/12 - t**3\/6 - 126*t**2. Let h(z) = -g(z) + 4*i(z). What is h(x(r))?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Let m be r\/(-2)*18\/(-3). Suppose 11*g - m*g = 18. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -122334439361?\nAnswer: 122334439357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**5 - 6*a**3 - 10*a - 6. Let g(s) = s + 0*s - 12 - s**5 + 13 + s**3. Let k(y) = -6*g(y) - x(y). What is the second derivative of k(n) wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -3.85903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*d + 22 = 0, -4*u + 4*d - 38 = -14. What is the smallest value in -1\/5, 0.33, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/6 - 527*h**4\/6 - 19455*h**3\/2 - 1816025*h**2\/6 + 1115743*h\/3 + 1878092 = 0.\nAnswer: -389, -71, -68, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (-6 + 2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.8 + -3.7924. What is b rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let c be k(3). Suppose 12*a**4 + a**3 + 6*a**5 + 10*a**3 - 3*a**5 + a**c = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence led when three letters picked without replacement from eleeeeeeeeedeee?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -0.18, -10 in descending order.\nAnswer: 2, -0.18, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2 + 5. Let o(c) = -8*c**2 + 6. Calculate 5*o(s) - 6*q(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -862956\/227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 20\/19 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 17*f - 5*r - 2, -5*r + 10 = 0. Factor 0 + b**f + 1\/3*b - 1\/3*b**4 - b**2.\nAnswer: -b*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16*m**3 - 8*m**2 + 7*m + 2. Let n(i) = -i**2 + i. Determine -l(c) + 5*n(c).\nAnswer: -16*c**3 + 3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m + 1. Let g(a) = -2*a + 2. Let u(c) = 6*c - 7. Let w(o) = 7*g(o) + 2*u(o). Give w(n(z)).\nAnswer: 22*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 61*q + 64. Let t(r) = 123*r + 130. Let b(x) = -13*s(x) + 6*t(x). What are the prime factors of b(-21)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6*c + 1. What is l(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 11. Let o = -15.6 + s. Let k = -3 - o. What is the third biggest value in 2\/7, -1\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1361, -2721, -4081?\n\"Answer: -1360*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 6*i**2 + 7*i + 3. Let k be z(7). Suppose m - 2*x = 0, k*m = -0*m - 4*x + 10. Suppose c - 81 = -m*c. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -422 + 424. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -42. Let j be ((-45)\/(-36))\/((-2)\/c). Suppose 0*u = -5*u + j. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.998 - 674921.\nAnswer: -674922.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 24\/32. Let o be 1 + (-9)\/(-3) - x. What is the first derivative of 0*v + 5*v + o + 1 - 2*v wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1095 and 1061759815?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -37*z - 8. Let b(k) = -k**2 + 14*k - 42. Let j be b(10). What is the least common multiple of n(j) and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let u = 8 + -6. Let z(i) = -34*i - 1. Let x(n) = u*s(n) - z(n). Let a be x(1). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.1755 less than 0.107?\nAnswer: -284.0685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 517*g**3 + 3 - 2 - 3 - 542*g**3 to the form w*g**3 + b*g**2 + c + q*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*((-36)\/(-28) + -1). Suppose 2*q + 2 = 3*t + q, -o*t - q - 2 = 0. Solve 0 = -t*j + j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32683 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 176\/10 + (-38)\/(-95). Calculate the greatest common divisor of 162 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) 4\/5 (c) 5568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 752*u**4 - 750*u**4 + 5*u - 115*u**3 in the form g*u**2 + v*u + s + k*u**3 + a*u**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 + 7)*42)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-1 + sqrt(68) + (2*sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68))*-6 + sqrt(68) + sqrt(68))\/(6*1*sqrt(144) + sqrt(144) + 4*sqrt(144)*-1).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from daaavaavvavvav?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -17046*n**3 - 60*n**2 - 52*n + 7. Does 38 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/7 + (-1378)\/182. What are the prime factors of (y + 398\/(-8))*(-1 - 3)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 184, 161, 122, 67, -4?\n\"Answer: -8*q**2 + q + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (23 - 21 - (0 - -43))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 30 + 8*v**2 + (3*v - 7*v + 0*v)*(-v - 4*v + 4*v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -24. Suppose n*q = -q. Suppose q = -3*x + r + 4, -2*r - 9 = -5*x - 1. Sort -5, -3, x in ascending order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -559 - 9?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*n - 4*n + 8798 = 1182. Does 27 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 2 o when four letters picked without replacement from kkloolkkovlckovok.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20150, -23089, -26024, -28955, -31882?\nAnswer: -34805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -107*i**2. Let y(b) = -33129*b**2. Give x(y(g)).\nAnswer: -117435778587*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309 - -318. Suppose 2*a + 939 = -r*l + 14*l, -3*l + 564 = -a. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 507, 478, 437, 384, 319, 242?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153067.95 - -149891. Let q = 3252 + b. What is q rounded to 0 decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358701650 to the power of 1\/2, to the nearest integer?\nAnswer: 18939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*k**2 + 2*g*k + 3*g + 1238*k**2 - 659*k wrt k?\nAnswer: -2*g + 2476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 263 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s. Let w be v(1). Suppose 0 = 129*q + 180 + 50 + 286. Which is the fourth biggest value? (a) 0.5 (b) 5 (c) q (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r = 354 + 1129 - 58 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 7*f + 10. Let u be t(-6). Solve 2 = 2*y + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30343357 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 330\/25873 or -1?\nAnswer: 330\/25873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (-10)\/4 - 9. Let p be (-2)\/(-3) - (-11)\/(-12). Which is the closest to s? (a) 0 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000990992 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 1056, 1698, 2434, 3264?\nAnswer: 4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21795 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 160716413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/28*(-1)\/((-6)\/(-16)). Let u be 215\/10 + z\/4. Solve 10 - u = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 15. Let d be (c\/6)\/(3\/9). Which is bigger: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16656, -33312, -49968, -66624, -83280, -99936?\nAnswer: -116592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 18*j - 15*j. Let v(l) = l**3 - 5*l**2 + l - 4. Suppose 0 = -k, -4*k = -9*q + 4*q + 130. What is the remainder when v(j) is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 420 = -2*l - 241, -4*l - 1337 = 5*t. Let j = 590 + l. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233330793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + c + 20 - 14)*(2 - 1 + 1)*(3*c + c - 3*c) to the form i*c**2 + m + f*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -201. Let r = j - 113. Calculate the remainder when 208 is divided by r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + 333\/(-36) + 9. Suppose 4*d + 1192 = 5*n - n, a = -3*n + 5*d + 884. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -884*j + 878*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*-1 + sqrt(70))*-6 - sqrt(70))*5)\/(2*sqrt(810) + sqrt(10) - sqrt(160)*-1).\nAnswer: -5*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznofzoznaanznnnzooz. What is prob of sequence nooz?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (84\/644)\/(18\/138)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -204*v**2 + 76*v + 87. What is l(-3)?\nAnswer: -1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -9. Suppose 5*l - 11 + 6 = 0, 0 = -5*b + 4*l + 221. What is the greatest common factor of b and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 158 = -2*p + 4*d, 2*d = 2*p - 152. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-62)\/5)\/((-42)\/(-10) + -4). Let w = o + 84. Calculate the least common multiple of w and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/4 + w**4\/4 - 3*w**2\/2 + 52*w - 4. Let d(u) = 6*u**3 - 4*u**2 + 4. What is 3*d(f) + 4*h(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7923\/13169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Let l(z) be the first derivative of -20*z**3\/3 + 96. Give n(l(q)).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946581 - 315378 - 315825 - 6*q - 5*q - 315378.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1015\/(-609)*693\/(-15)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*b - 282 + 212 = 0, 3*j - 5*b = -58 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2173480\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3\/3 - 32380*y**2\/3 - 16*y\/3 + 129520\/3 = 0. Calculate y.\nAnswer: -2, 2, 8095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 84, 54, -46, -240, -552, -1006?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -81 in ascending order.\nAnswer: -81, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2860, -2870, -2880, -2884, -2876, -2850, -2800, -2720?\n\"Answer: p**3 - 6*p**2 + p - 2856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075 <= 7070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmmmnnmfmfm. Give prob of picking 3 n and 1 f.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/5*k**2 + 4\/5*k**4 + 0*k - 2\/5*k**5 + 2\/5*k**3 = 0 for k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13973 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 + 6 + 2 + 0*g - 3*g. Let m(f) = -f + 3. Suppose 0 = 5*z - p - 11, 4*z = 4*p - 0 + 12. What is z*k(u) - 5*m(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -20. Suppose -24 = -3*a - g*a. Solve -m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -130, 5, 0, -9 in increasing order.\nAnswer: -130, -9, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c. Let g be x(0). Let j(i) be the second derivative of -3\/20*i**5 + 0*i**2 + g*i**3 + 1\/10*i**6 - 1\/4*i**4 + 1\/14*i**7 + 0 - 4*i. Factor j(z).\nAnswer: 3*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 66*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 2*a - 2*a + (2*a - a - 3*a)*(-1 + 1 + 2) - 3*a - 2*a + 3*a + (-3*a - 5*a + 2*a)*(1 - 3 + 3).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*18*(-11 + (-280)\/(-30)). Solve -q - 3 = m, 3*q - m = s - 61 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -2)**2 + sqrt(7) - -3*sqrt(63))*-3.\nAnswer: -768 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 + 1\/(-2). Let h be (-2)\/6 - 260\/(-6). Let c = h + -45. Put c, -7, o in decreasing order.\nAnswer: o, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q. Let c(j) = -j**3 - 2*j**2 + 2. Let x be c(-2). Let b be 1\/((3 - 4)\/1) + 3. Let h(z) = 27 - z**b + x*z**2 - 27. Calculate h(w(m)).\nAnswer: 121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 26 = -3*n, j = 2 + 2. Suppose 0*z - n*z + p + 39 = 0, 4*z - 3*p = 81. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -76. Which is the nearest to -5? (a) -5 (b) q (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17*x + 16*x - 660 = 0, 2*x + 660 = 5*z. Is z a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 775 + -777. What is the nearest to 0 in -4\/11, -0.4, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*k**2 - 3)*(-2 - 3 + 4)*((-2 + 0 + 3)*(-3*k + k + 0*k) + 3*k - 4*k - k + 0 + k + 0) to h*k + y + a*k**3 + s*k**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7.61913 * -0.22\nAnswer: -1.6762086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:10 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -22. Let m(j) be the third derivative of 1\/60*j**5 + 0 - 1\/24*j**4 + s*j + 0*j**3 + 2*j**2. Factor m(x).\nAnswer: x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = -97 - 207 + 38 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + -0.15. Sort -0.1, 0.3, t, 5 in ascending order.\nAnswer: -0.1, t, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**4 - 56*z**3 - 960*z**2 - 1152*z.\nAnswer: 4*z*(z - 12)*(z + 6)*(3*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296672868 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40791 - -122375\/3. Let s = 34 + -29. Let m - s*v**2 + 13\/3*v = 0. What is v?\nAnswer: -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116536005 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0293 - 0.4707. Which is the second smallest value? (a) y (b) -5 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1032, -28\/13, -2?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((-1 + sqrt(147))*2 - (sqrt(147)*2 + -2 - sqrt(147))) + 2*(-3 + -1*sqrt(147)) + -5)*-3 + 2)**2.\nAnswer: 1218*sqrt(3) + 2164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 19 + 333. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2387929 divided by 50807\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u + 55 + 11 = 0. Let j(h) = h**3. Let v(q) be the first derivative of -q**4\/4 - 3. Calculate u*j(d) - 3*v(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/10 of a centimeter?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n + 81. Let l be r(-24). Let v(c) = 2*c + 33. Let p be v(l). Solve -4*h = p*z - 6*h + 13, -3*h = -4*z - 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/2*1). Suppose 2*m - 6 = -2*b, -3*b = 4*m - 6*b + 16. Which is greater: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2 - -9) - -5) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w + 10*w - 5540 = -5862 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let f(r) = -23*r. Let b(q) = -q. Let x(y) = -15*b(y) + 3*f(y). Determine t(x(s)).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -132, -210, -330, -498, -720, -1002, -1350?\n\"Answer: -f**3 - 12*f**2 + f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*h**2 + 11*b**2 - b + 24484*h**3*r + 2*h*r + 3131*r + 2 wrt h.\nAnswer: -4*b**2*h + 73452*h**2*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 39. Let a(t) = -t + 4. Determine a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*v + 402 = 577*v - 396 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 + 16*q + 12. Let w(j) = 20*j**2 + 22*j + 12. Let n(c) = 14*c**2 + 15*c + 8. Let r(a) = -7*n(a) + 5*w(a). What is -5*m(d) + 16*r(d)?\nAnswer: 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3348)\/(-10881)*(-1131)\/(-48)\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/224 + 282\/(-16). Let d(p) = -p**2 - 17*p + 48. Calculate the remainder when d(a) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406950.\nAnswer: 2, 5, 19, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Let x = z - -2. Suppose x*n + 2 = 6. Solve s = n*q + 6*s + 15, 3*q + s = -16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -40. Calculate the remainder when 16 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 5. Let y be u(4). Suppose -3*z - 4*p = 0, 3*p = -5*z - 0*p. Let a be (z + y)*(-14)\/2. Solve 0 = f + 3*c + a, -4 = 5*c + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/4 - (-1)\/2. Let x = -958 + 955. Put -4, x, n in increasing order.\nAnswer: -4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*d**2*i - c*d*i - c*d + 24*c + 293*d**2*i + d*i wrt d.\nAnswer: -4*c*i + 586*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147243436 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 3*f - 5. Let x be a(-2). Suppose 25 = 2*p + 65. Let y be (35\/p)\/(2\/8). Is x at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**6 + 10*j**2 + 1\/2*j**5 + 0*j**3 + 13\/210*j**7 + 0*j + 0*j**4 + 0. What is the third derivative of h(f) wrt f?\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/18)\/(5\/(-1065) + 0). Let k be -70*8\/a - (-2 + 0). Suppose 3*z - 3*o + 6 = 0, o = -4*z - 0*o + 2. Is k greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/150)\/((-52)\/65).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8283711 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a + a**2 - 13*a - a**4 - 6*a**2 + 3*a**3 + 29*a**2 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7)*q**0*q)**(-20))**43 assuming q is positive.\nAnswer: q**(-13760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.672197344 + 10.08.\nAnswer: 31.752197344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18572 - -18551. Does 0.136 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 8\/2 + 0. Let f be (9 + 2)\/(v\/4). Let a be (168\/(-7))\/(-6) + -1 - -52. Calculate the greatest common divisor of f and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 69. Let g = 12 + -16. Let w(p) = 13*p. Let y(b) = -16*b. Let s(h) = g*y(h) - 5*w(h). What is a(s(i))?\nAnswer: 2*i + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10.1. Which is the closest to 1\/4? (a) 1 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 39*q**2 + 4*q + 1. What is f(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2047137 divided by -4.\nAnswer: 2047137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f - 3*f + 6*f - 22*f + (-2 + 0 + 3)*(-f - 2*f + f) + 0*f - 2*f - f)*(-f + 8 + 7 - 4).\nAnswer: 23*f**2 - 253*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110989.\nAnswer: 110989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4902\/61 - 589682\/7259. Let l = 10\/17 + u. What is the nearest to -0.023 in l, -1\/2, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.11, 1\/4, 4, 2, -1\/8, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 12) to base 4.\nAnswer: -11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -153, -238, -345, -480, -649, -858?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -63*l**3. Let k(i) = -17*i**3 + 5*i**2 - 10*i - 5. Let v(o) = 24*o**3 - 8*o**2 + 16*o + 8. Let g(b) = 8*k(b) + 5*v(b). Give 9*g(r) - 2*z(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*w + 272, 20 - 100 = -w - q. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -33.5, 1\/9, 4\/15?\nAnswer: -33.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 118. Let l = 16 + v. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahwhyawyyywyzaa. Give prob of picking 2 a and 1 h.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71238 and 11984070?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0396321340718 - 3611902.6600648659282. Let z = o - -3611906. Let q = z - 3.3. What is q rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022122 (base 3) in base 9?\nAnswer: -4278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 912631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -293165, -4?\nAnswer: -293165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65234 and 104606.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 19*v + 109 - 38 - 40.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.3 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49866.\nAnswer: 2, 3, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2463370 and 176869966?\nAnswer: 884349830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 20*u - 313. Calculate r(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-1161)\/1892. Which is the nearest to 0? (a) -1\/4 (b) p (c) 2\/9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.2646 rounded to one dp?\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -47*i + 39*i. Let g = i - 7\/2. Suppose -g*b - 1\/4*b**2 + 1\/4*b**3 + 0 = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 11 + 3)*(-k**4 + 0*k**4 + 3*k**4) + 17 + 62*k**4 + 21 - 37 to p*k + w*k**4 + f*k**2 + h + j*k**3 and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1418072 divided by -21\nAnswer: 1418072\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:58 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006899 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrtrddddddt. Give prob of picking 1 d and 1 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164574*r - 164666*r - 1196 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((9\/4)\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*g = 2*g, -4*i + 4*g = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204608*s**2 + 149123*s**2 - 395514*s**2.\nAnswer: -450999*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + r = -21 + 34, r = -5*t - 2*r + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5729664 divided by 2.\nAnswer: 2864832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 - 192. What is the lowest common multiple of 136 and (h + 1\/1)*(-165)\/(-30)?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 62*i + 129. Let c be d(-2). Suppose 6*x - 2*x + 20 = 0. Put c, x, 5 in decreasing order.\nAnswer: 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -c + 36. Let u be c\/(56\/(-427)) + 3. Calculate the greatest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(9\/8)*k**(-4\/17)*(k**26*k)\/(k**(26\/7)*k) assuming k is positive.\nAnswer: k**(21825\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = -4*o + 45, -3*z + 27 = -2*o. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + 0.4. Let j(h) = 2*h - 7. Let c be j(5). What is the nearest to c in 3, s, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i**3 - 14*i**2 + 14*i**2 - 4*i**3.\nAnswer: -63*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18384975 to the nearest 10000.\nAnswer: -18380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6912 and 70154640.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9408.772km to millimeters.\nAnswer: 9408772000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2435\/1084 + 1\/271. Suppose 19*d + 200 = 238. Solve 2*l**d - 3\/4*l - g + l**3 = 0 for l.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 908*l**3 + 3*l - 907*l**3 - 5 + 9*l**4 - l**4 wrt l.\nAnswer: 96*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-207)\/(-552))\/((-2835)\/468) - (-1 + -2)\/(-42)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 498*d + 129*d**3 + 124*d**3 - 498*d + (1 - 1 - 2*d**2)*(-2*d - 2*d + 6*d).\nAnswer: 249*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*w - 80, w = -f - 0*f + 30. Suppose 0 = 2*q - 5*k + 25, 2*q = 6*k - 2*k - w. Let z be 17 + q + (-6)\/2. Let r(t) = -t + 3. What is r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -909 + 913. Solve -10*l = -14*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*o - 490*o - 120269 = 181*o - 129*o for o.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwzrdrdzdffrroz. What is prob of picking 1 d and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*i - 18 = -6, -i - 4 = 0. What is the closest to 2 in -3, u, -0.09, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-50)\/12)\/(30\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l - 16. Let v be g(-5). Let w = 0.4 + 0. Which is the closest to v? (a) 2\/17 (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 6*j - 3*j)*(3*j + 2*j + j - j + j - j + (-1 - 1 + 4)*(-j - 2 + 2)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 2, q: 4, z: 3}. Give prob of picking 2 x and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:28 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 43. Let y = l - -40. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49\/445 - -17603\/108135. Find the common denominator of -23\/30 and b.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 11, 9, 5, -1, -9?\n\"Answer: -l**2 + 3*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3078) - (sqrt(3078) - sqrt(3078)*-2)))\/(sqrt(242)*1*6).\nAnswer: -9*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205316933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:35 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 43.5, -1, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d - 1. Let g(y) be the third derivative of y**4\/24 - y**3\/6 + 6*y**2. Let k(n) = -2*g(n) - 2*u(n). What is the tens digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xqxqx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, n: 2, l: 2, v: 3, k: 1, b: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 496 + -188. Let f = h + -217. Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -12661461\nAnswer: 4\/12661461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12248\/2849 or 3?\nAnswer: 12248\/2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 145. Suppose -y = 22*s - 321. Which is the third smallest value? (a) -0.2 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903491409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.57 * -9802.\nAnswer: 25191.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -37*z + 1932. Calculate m(52).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642422414?\nAnswer: 2, 3, 273737069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/19 - 356*a\/19 - 1200 = 0.\nAnswer: -50, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 9*k**2 + 6 - 8*k + 4*k**2 + 5. Let z be j(-7). What is the tens digit of ((-25)\/(-5))\/(2\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*f**2 + 401 - 401 + 2*f.\nAnswer: 228*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -17*b + 20. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 916950316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 3*i + 2. Suppose 0*n - 3*n = 3. Let z(s) = 5*s**2 - 1. Let a be z(n). Let u be x(a). Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841\/3 - (-27)\/(-81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/13 - 2*t**3 - 280*t**2\/13 = 0.\nAnswer: -7, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/210*9\/174.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 6*h - 7. Let a be r(4). Let j = -2 + 4. Let b(u) = j - u**2 + 2*u - 4*u + a. What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 171*b + 4117*b**3 + 173*b - 11 + 7.\nAnswer: 4117*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1107375 decades in millennia?\nAnswer: 0.001107375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 40 = -3*h, -3992*s = -3990*s - 3*h + h - 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53735*k + 0*k**3 + 26865*k + 26870*k + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -114*j - 7662. Determine o(-67).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 76578793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11916*v + 32312 wrt v.\nAnswer: 11916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 13 + 29 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179*r**2 - 62*r**2 - 79*r**2 + (2*r + 2*r - r)*(-2*r - 2*r + 3*r))*(2 + 4*r - 4 - r).\nAnswer: 105*r**3 - 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -320, -5, -21, 14, -1 in decreasing order.\nAnswer: 14, 1, -1, -5, -21, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1, 23, 16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-7 - 1)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/333 smaller than -14.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(8\/6)\/4. Suppose 0 = 3*j + 4*r - 32, -30 = -5*j - 5*r + 15. Suppose 25 = p - m + 6*m, j*m = 4*p - 4. Solve p*g = -h - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*f + 12, -z + f = -3*f + 18. Suppose -j + 1 = -z*q - 39, -245 = -5*j - 5*q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 10*z - 16. Let p be l(-8). Suppose p = -q - 0*q + 3. Suppose -q*b = -2 - 7. Solve -5*i + 2 = -b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(-6\/5)\/((n\/(((n\/(n**1\/n))\/n)\/n))\/n)**(-10\/11))**(-46) assuming n is positive.\nAnswer: n**(-1541\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/6*(-8)\/((-160)\/465). Let t = 167 - u. Solve t = -0*v - v + 5*f, 5*v = f + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/40 - (-9)\/(-6) - (-3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s - 39*s - 13*s + 286*s + 47*s.\nAnswer: 313*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -3. Suppose -13*i - 5*y + 12 = -15*i, -3*i - 5*y + 32 = 0. What is the closest to 0.1 in 3\/7, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8607.3579 to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joco when four letters picked without replacement from qjocapao?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137*f**3 - 11*f**2 - 3?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4454409*i - 3133. Let d be r(-37). Round d to the nearest 1000000.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170\/7 - 24. Let w = 0.04 + 6.96. Let l = w + -4. Which is the second smallest value? (a) -5 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 28*j**2 - 2*j - 28. What is x(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1332928.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/160 + ((-12)\/(-15) - 2) + (-384)\/(-320)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(204)*-1 + sqrt(204))*1)\/(sqrt(108)\/((sqrt(81) - (sqrt(81) + sqrt(81)*2 + sqrt(81)) - sqrt(81))\/sqrt(9))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*w + 12 = 0, -3*s - 21*w + 17*w = 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2003080 - 35*b**2 + 2003080 + 2*b**2.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {c: 4, m: 2, u: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 14 = 2*i, 0 = 4*o + i + 2*i + 21. Let y be (-1 - 1) + (-60)\/o. Let f = -1578 - -1634. Calculate the greatest common divisor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442\/34 - (12 + (-6358)\/(-6392))\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 4 + 455 - y.\nAnswer: 5*y + 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92.75404 centuries?\nAnswer: 927.5404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5*f**8\/336 - f**7\/42 + f**6\/4 - f**5\/6 - 25*f**4\/24 + 5*f**3\/2 - 3*f**2. Factor c(d).\nAnswer: -5*(d - 1)**3*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 - ((-6)\/(-3) + -2). Let h(n) = 5 - 1 + n**3 - k*n**2 - 5*n + 17*n**2. Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(2) + sqrt(2)*-2 + sqrt(2) - sqrt(2)))\/((-3*sqrt(90))\/sqrt(10))*-6 + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + (-7 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2 (b) -3 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + 7 + -9 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25408, 50793, 76178?\n\"Answer: 25385*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 + 113 + 93*r)*(-2 + 4*r + 0*r - 3*r)*(2*r**3 + 0*r**3 - r**3).\nAnswer: 93*r**5 - 186*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403526.\nAnswer: 2, 89, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60949*w**4 + 388824.\nAnswer: -243796*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*l + t - 15453 = 347*l, 3*l + 2*t = 46365. What are the prime factors of l?\nAnswer: 3, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/((-34)\/306)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6507459451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-1 - 6) + 24 + -20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2170.364 millilitres?\nAnswer: 2.170364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let p(i) be the second derivative of -i**4\/2 + 17*i. Give p(m(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 1\/5, 4, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5879 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from xxxxxff.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + -303. Let f(a) = 8*a + 18. Let u(p) = -p - 2. Let n(v) = w*f(v) - 18*u(v). Let m(x) = x**2 + 289*x. Calculate m(n(s)).\nAnswer: 4*s**2 + 578*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(-1*1). Let t be (-45)\/(-10)*((-4)\/6)\/(-1). Solve -3*v - 2*v + 2*u + g = 0, -v - t*u = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:01 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 - l + 2. Suppose f = 2*k - 15, 0 = 2*k - 8*f + 3*f - 35. Let y be o(k). Let g = -26 + y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/5))*b)**39*b**(-1)\/b*b*b*b\/b**(1\/6)*b)**(-4\/7) assuming b is positive.\nAnswer: b**(-1514\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136477888, -272955775, -409433660, -545911543?\n\"Answer: w**2 - 136477890*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + 2*h**2 - 3*h**2 + (-2*h + 0*h - h)*(-2 - 2 + 6)*(2 + 0 - 6)*(-7*h - 94*h - 178*h).\nAnswer: -6694*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -1*(-3)\/(-3 + 0). Let r(q) = -q + 1. Let g(b) = 3*b - 5. Calculate x*g(m) + 9*r(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3398 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 220, 296, 370, 442, 512?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 3\/2, -4\/11, -0.01?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(8\/17) assuming n is positive.\nAnswer: n**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.714924 years?\nAnswer: 8.579088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001070514616 rounded to 7 decimal places?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0505 + 0.2505. Let b = 7 + -6.5. What is the closest to y in 0.7, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 25650 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 15. Let l be w(-11). Let z be 1\/l - (-5)\/4. Let g = 37.8 - 38. What is the nearest to g in -5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3068.8 - -3720. Let z = -651 + f. Which is the closest to 0.039? (a) -2\/3 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 26 = 54. Solve b + 2*b + i*k = -5, 5*k + 5 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85104 - 40?\nAnswer: 85054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-24)*-4)\/(2\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -24*b**3 + b**2 + b + 1. Let a be r(-1). What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1723.19 millennia?\nAnswer: 17231.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1628 and 1036?\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + (-8)\/(-10). Solve 0 = u - t + o, -2*u = -u - 3*t - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9764853, -9764851, -9764849, -9764847, -9764845, -9764843?\nAnswer: -9764841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 24*f + 196. Let a be b(12). What is the highest common divisor of a and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13382292 and 6.\nAnswer: 13382292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236901 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3538 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 7*r + 684 = 72*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*2\/(-5)*4*(-5)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2078, 0.37, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from qqtccqdpdpptctqp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612833857.\nAnswer: 3, 103, 1087, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67671674 to the power of 1\/2, to the nearest integer?\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11903443 is divided by 3648.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166466 = -15*c + 525266 + 1103513. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1\/(-6)*2676\/(-446).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - t**3 + 2*t**3 + (t**2 + 2*t - 2*t)*(2 + t - 2) - 14*t**3 - 177*t + 177*t - t**3 - 9*t**3 - 19*t**3.\nAnswer: -43*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:02 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2743949*0.19\nAnswer: 521350.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6224 + -4?\nAnswer: 6220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*-2*-3*sqrt(152))\/(3*((sqrt(1152) - 5*-3*sqrt(1152)) + sqrt(1152) + sqrt(1152))).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(1\/30)*x**(-2\/19)\/(x\/(x*x\/((x*x\/x**(-2\/21)*x*x)\/x))) assuming x is positive.\nAnswer: x**(-5809\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 529303165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -20. Let f be 1\/(-45) + (-6)\/m. Let z = 0.1 - 0.3. Which is the biggest value? (a) z (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/12 + 15*i**2. Let h(y) = -23*y. Give v(h(c)).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2645.\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/7 - 28377*p**3\/7 + 9726062*p**2\/7 + 9754440*p\/7 = 0.\nAnswer: -1, 0, 348, 28030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007987 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56244511 and -2793.\nAnswer: 56241718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 7*d - 5. Suppose -2*b = 3*q - 9, 0 = b + b - 6. Let y = q - -1. Suppose -5 = -o + y*p, -5*p - 40 = o + 2*o. What is g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5674238, -5674236, -5674234, -5674232, -5674230?\n\"Answer: 2*p - 5674240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 296552509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -111002230?\nAnswer: -111002032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 60 = 40320*h - 40302*h, 0 = h + 8*m + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/15*(-32)\/(-28)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.998 rounded to 0 decimal places?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297692 and 14402.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 108. Let w be z(0). Let q be ((-6)\/w)\/(1\/4). Let p be (-4)\/(-2) + 11\/(-5). What is the closest to -1 in q, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-40 - (-71 + 24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1 - -13 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 35. Suppose 2*f = 3 + v. Let l(z) = -1 - 2 + 1 - 5*z + z**2. Determine l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r**2 + 48*r**2 - 12*r**2 + 101*r**2.\nAnswer: 109*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uggn when four letters picked without replacement from {u: 7, g: 3, n: 3}?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*((c\/(c**7*c*c*c))\/c)\/c*(c**(-5)\/c)\/(c*c**4) assuming c is positive.\nAnswer: c**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -537545.3 and -1.\nAnswer: 537545.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/49)*i*i*i)\/i**(-3\/17))\/(i*i**7*i*i*i**(-15)))**(-14\/9) assuming i is positive.\nAnswer: i**(-15220\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523215.\nAnswer: 3, 5, 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 32. Let y = w - 7. Suppose y*o = 8*o - 65. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 = 12*n - 485 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.105 - 0.448. What is n rounded to one decimal place?\nAnswer: -35.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -2, 7, -3 in descending order.\nAnswer: 26, 7, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 21514284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756*j - 860 = 3230*j - 1646*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + -258. Let v = f + 35. Which is the closest to 1? (a) v (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**3 + 25 + 6*k**3 - 56 - 896*k**2 + 2*k**4 + 31 to h*k**3 + l + u*k + n*k**4 + f*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 0 - (0 + 3). Suppose -u*a + 4*m + 12 = 0, a = 3*a + 4*m. Let t(q) = -4*q + q - q**a + 2*q - 5*q. What is t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 460.48484 to the nearest integer.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6355012 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 + 410768*h\/3 - 21091293728\/3.\nAnswer: -2*(h - 102692)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -621 - -853. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f. Suppose -2*p - 15 = p. Let c(l) = 8*l. Let o(k) = p*c(k) - 6*v(k). Let g(j) = -12*j. Let z(w) = -w. Let s(m) = -g(m) + 9*z(m). Give s(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 872.2418 and -0.036.\nAnswer: 872.2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdddkdxkvdddxdk. Give prob of sequence xd.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1 (b) 4 (c) -18\/13 (d) -15 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54558675.\nAnswer: 3, 5, 242483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15132528 (base 9) to base 7\nAnswer: -120632342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/7 + (-2)\/7. Suppose t + 5*t - i = 0. Calculate the smallest common multiple of (5 - (-1 + 3)) + 5 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.9 times 68?\nAnswer: -2577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720516 divided by 122894?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-45)\/(-280)*140\/(-60))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from aasas.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 12*m**2 + 4*m - 8. Let y = -135 + 125. List the prime factors of t(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21857*r**3 - 23973*r**3 - 4157*r**3.\nAnswer: -49987*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from {y: 7, s: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4679 = -703*i - 7975 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 30.17277 years?\nAnswer: 0.03017277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1\/5 (b) 11 (c) 5 (d) 1\/322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*f**3*l**4 - 168*f**3*l**2 + 2*f**3 - f*l**4 wrt l?\nAnswer: -6480*f**3*l - 24*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76111 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553314?\nAnswer: 2, 3, 92219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:21 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1928*b**2 + 969*b**2 + 947*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrmlqlzm. Give prob of picking 1 q and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/3)\/a*a)\/a)**(5\/2))**20\/(a\/(a\/a**2)*a**6*a)**(-3\/8) assuming a is positive.\nAnswer: a**(-319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m - 42*m. Let i(u) = -u**3 - 2*u**2 - u + 3. Let b be i(m). Solve b*o - 15 + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnfnhnfyhhfhfhn. What is prob of sequence ff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 259?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 + -1.5?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2, 4*h + 3 = 5*v + 2. What is the hundreds digit of (1 + 0)*v*17346\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-204)\/54)\/(-1))\/(1 - (-160)\/(-180))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 4*l + 0*l)*(l - 5*l + 3*l) + 13*l - 13*l - 7*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and 49\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let f(t) = 10*t + 2. Let w(z) = -170*z - 35. Let u(n) = 35*f(n) + 2*w(n). What is m(u(v))?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + -1 + (3 - -5) + (-67 - -5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let o(r) = -2*r - 13. Let l(y) = -y - 12. Let k(a) = -6*l(a) + 5*o(a). Let f(b) = -3*b + 5. Let z(v) = -7*f(v) + 5*k(v). What is z(d(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 997 + 48396. What are the prime factors of n?\nAnswer: 49393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 3 + 1234*m**2 - 590*m**2 - 603*m**2 to the form j + q*m**3 + k*m + s*m**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17871 = 160*a - 137*a. Calculate the remainder when a is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313 divided by 27153\nAnswer: 313\/27153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252342 and 20?\nAnswer: 2523420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:50 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 - 7*n + 13. Let t be j(6). Suppose t*r = 18*r - 220. Let p(y) = -y**3 - 18 + 40 - r. Let u(l) = -2*l**3 + 6. What is -8*p(f) + 3*u(f)?\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35656, 71321, 106986, 142651?\nAnswer: 178316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 8*h + 4*i - 25, -5*h - 5 = -5*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -9.7822?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-46))\/(12630\/(-58098))*1*(-1)\/2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235857370.\nAnswer: 2, 5, 7, 3369391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83998 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: Let v(l) = l**3 + 16*l**2 + 27*l - 22. Let k be v(-14). What is the tens digit of ((-20)\/k)\/(3 + 4299\/(-1434))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 452)\/((-27)\/(-18)). Let p = 1681 + c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 302\nAnswer: 1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69936 and 7220892?\nAnswer: 28883568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-15 + 5 - (3 + -5)) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175855551619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/o**(-5\/2)))\/o*o\/(o*o**(-3\/4)))\/((o\/o**(6\/11))\/o*o*o**(-1\/6)*o))**14)**(-12) assuming o is positive.\nAnswer: o**(7462\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 207 + 207)*(2*s**3 - 214*s + 0*s**3 - 79*s).\nAnswer: -12*s**4 + 1758*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 + 9*x + 32. Let y(q) = -2*q**2 - 2*q - 1. Let b(d) = l(d) + 3*y(d). Let v be b(7). Calculate the greatest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 922a5 (base 11) to base 3\nAnswer: 20211220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 52. Suppose -2*i + 12 = -c, g = -i + 6*i + c. Put i, -0.1, 0.3 in descending order.\nAnswer: i, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 11*u**8\/336 + 11*u**5\/60 + u**2 + 15*u. Let w(g) be the first derivative of f(g). Find the third derivative of w(h) wrt h.\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 77127?\nAnswer: -23138.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 31. Let k be m*2 + (-1099)\/(-8). Let u = k - 141. What is the closest to 0.1 in -0.4, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 10 - 4*s + 4*s + 2*s - 3*s**4 as p*s**2 + x*s + a*s**4 + o + g*s**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111012122 (base 5) to base 8.\nAnswer: 1663647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, s: 1, o: 1, z: 2, p: 1}. What is prob of sequence spo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**1)*p*p**(2\/23)*(p*(p**(-5)\/p)\/p)\/(p*p**6\/p))**(-1\/22))**(2\/21) assuming p is positive.\nAnswer: p**(274\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 + -0.46. What is the second smallest value in 5, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 42*g + 36 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/13 + 30*r**3\/13 - 136*r**2\/13 + 168*r\/13 = 0?\nAnswer: 0, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 10. What is the nearest to 7 in -1\/4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8679, -16696, -24713, -32730, -40747, -48764?\n\"Answer: -8017*x - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -10. Suppose 2*x + 4*s - 4 = -0, 0 = 4*x - 4*s + 4. Let l = 2 + x. Sort l, h, -2\/23 in ascending order.\nAnswer: h, -2\/23, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 10*p**2 + 5*p - 16. Let u be z(-11). Calculate the greatest common factor of u and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29971447.29 + 29971797.2899654. Let q = x + -350. Round q to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*n + 4, 2*n = 5*q - 7. Suppose -2*g = -q*g + 13. Suppose 0 = 4*d - 45 - 7. What is the highest common factor of g and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from pkptpykmtttkmtt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 239*q - 2*q + 0 - 25*q - 4 in the form c + r*q and give r.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 73*t + 11. Calculate i(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -164429*q**2 + 82216*q**2 + 12*q**3 - 25*q + 82216*q**2 + (-2*q + 2*q + 2*q)*(q**2 - 3*q**2 + q**2) as t*q + z*q**2 + h + w*q**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose -f - t*f = 5. Let x = f - -2. Calculate the highest common divisor of x and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Find the second derivative of -5*x**2 - 2*x + 4*x + x**v wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a. Let d(l) = 6*l - 1. Let c(n) = 2*d(n) + 3*v(n). Let w be c(-4). Calculate the greatest common divisor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29729491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*p - 28 = 0, -p = 2*d - 5 - 26. Calculate the lowest common multiple of d and 126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 6 = -v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h + 27. Let d be o(6). Let a = -42 + 40. What is the closest to -6 in d, a, -4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 44 = -21. Solve -x = -0*x - 3*s - b, 0 = -x - 3*s - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23640965, -23640909, -23640853, -23640797, -23640741, -23640685?\nAnswer: -23640629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -4193, -9427, -16767, -26219, -37789, -51483?\nAnswer: -67307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6569 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13043549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 26*y**2 - 20*y - 10. Let w be q(-6). List the prime factors of -3*(w\/(-12))\/(3\/6).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 57. Let y = -67 + t. Solve b = -y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:05 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342450 = -3*f - 10*q + 8*q, 0 = -f - 5*q - 114150. What is f rounded to the nearest one thousand?\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 7. Let i be w(8). Suppose -a - 19 = -5*j, 6 = -4*a + 5*j - 10. Let c = a + i. Solve 2*b + 4 = -c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2, -16*a + 113 = 4*z - 19*a. Suppose -5*t + 12 = -2*k, -k + 7 = 3*t + 2. Calculate the remainder when z is divided by 18 - ((-3)\/k + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3427*b**3 + 6*b**2 - 32*b - 3 wrt b.\nAnswer: 20562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 898464 and 7140?\nAnswer: 76369440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*-3)*-3 + sqrt(209) - sqrt(209) - (-3*sqrt(209)*-6 - sqrt(209)))\/((sqrt(99)*-1 - -6*sqrt(99))*-3).\nAnswer: 11*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12092648 - 36?\nAnswer: 12092612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {w: 1, s: 4, a: 8, h: 5}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 4047.\nAnswer: 4049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 551847 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 7*m - 9854 + 9820. Give l(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219570 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45478, -90944, -136394, -181828?\n\"Answer: 8*p**2 - 45490*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 28 + 24. Find the common denominator of (w\/(-5))\/((-21)\/(-35)) and -85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 20. Let u = 5 + z. Solve u = -x + 2*a + a, -11 = -4*x - 5*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 30*p + 13. What is d(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*m + 35*m**3 + 82*m + 22*m**3 - 5*m**3 to the form s*m**3 + a*m + w + p*m**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*v = 789, 0 = 3*t + 32*v - 31*v - 583. What is the lowest common multiple of 1047 and t?\nAnswer: 67008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366107 is divided by 180.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 477 in 0, 1\/1875, 3\/13, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, c: 2, x: 1, l: 2}. What is prob of picking 1 d and 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*k**4 + k**2 - 3*k**2 + 2*k**3 + 1 + 6 as d*k + o + m*k**4 + z*k**2 + v*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 115, 391, 7 in ascending order.\nAnswer: -66, 7, 115, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2698 = -10938*m + 11080*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1120\/(6 - 2))\/(2\/2000). What is s rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7234616 - -4?\nAnswer: -7234612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 128, 126, 124, 122, 120, 118?\n\"Answer: -2*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -11) + (52 - 67)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 24488514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 8*w - 3. Let c be x(-7). Let i(q) be the first derivative of -4 - q**2 - 2 - 2*q + c. Differentiate i(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from ueyyyywerzyrzyuuuru.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 2*j - 4 = -0, 7 = -u + 3*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-2*a**2 + 0*a**2 - a**2) - 3 + 2*a**2 + 3)*(5 - 5 - 8*a + (2 - 1 - 5)*(-2*a + 4*a - a)).\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -552 - -309. Let i = j + 351. What is the greatest common divisor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845980, 1691967, 2537950, 3383929, 4229904?\nAnswer: 5075875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 125. Solve p*x - 4*x = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8771208*h**2. Let n(q) = -3*q**2. Give n(j(i)).\nAnswer: -230802269337792*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-2\/3)\/x)*x)**(3\/5)\/((x*x**(2\/5))\/(x\/x**(3\/5))) assuming x is positive.\nAnswer: x**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*n + z - 66, 99*n - 469 = -38*n + 2*z + 59 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g - 48*g + 2*a = -102*g - 16, 4*g + 3*a - 1 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-14)*(-21042)\/(-2505)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (924 + 862 - 48030*k - 1786)*(-1 + 4 - 5) to the form g + p*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -604455 > -604455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55447*u**3 + 55091*u**2 - 2488*u\/7 + 4\/7.\nAnswer: (u + 1)*(623*u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -17. Let m(g) = -2 - g + b + 2*g + 3. What is m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*i**3*r**2 + 622*g**3*i**3 + 94*g**3*i + 2*g**3*r - g**2*r**2 wrt i.\nAnswer: 12*g**3*i*r**2 + 3732*g**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -122201210010110?\nAnswer: -122201210010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*n + 22, -4*t - t + 28 = -n. Let g(j) = 5*j - 5. Is 10 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -106*a**3 - 6*a**2 - 3. Let i(r) = 110*r**3 + 8*r**2 - r + 4. Give -3*d(z) - 2*i(z).\nAnswer: 98*z**3 + 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 341996821 a multiple of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7*w - 101. Give s(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 8*f**2\/7 - 132*f\/7 - 360\/7.\nAnswer: 4*(f - 6)*(f + 3)*(f + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81831, 163667, 245517, 327387, 409283, 491211?\n\"Answer: q**3 + q**2 + 81826*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-6)\/((-12)\/(-10)). Let k(i) = 3*i**3 + i**2 - f*i**3 + 7 + 3*i**3 + 6*i**2. Give k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9\/(-2)*(-116050)\/(-15825).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 33950 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 12*f**2 + 15*f - 1. Let n be j(13). Suppose 2*q + n = 267. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109956 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100322 + 42171 = 97*w. List the prime factors of w.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(15\/(-9)). Let z = 28.294 - 28.284. What is the third biggest value in v, -2\/15, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 2*w, 4 + 1 = 4*m + w. Let r(h) be the first derivative of -8 - 2*h**3 - 1\/2*h**6 + 3\/2*h**2 + 6\/5*h**5 + m*h**4 + 0*h. Factor r(o).\nAnswer: -3*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(20)\/sqrt(4)))\/(sqrt(252) - (sqrt(252)*-2 + sqrt(252))).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.133443 and 0.009691.\nAnswer: 0.143134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 28. Suppose 4*w = y - q, -5*y = -w + 2*w - 102. Let s(k) = -4*k. Let b be s(-5). Calculate the highest common divisor of y and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*l**2*t**4 + l**2 + l*t**2 - 460*l - 60*t**4 - 2*t**3 - 2*t**2 wrt t.\nAnswer: -384*l**2*t - 1440*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:21 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6923, -1559, 3805?\n\"Answer: 5364*h - 12287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let q(d) = -d**3 + 12*d**2 + 7*d + 6. Let g(r) = 3*h(r) + q(r). Is g(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*n = 20, r - n + 5*n - 16 = 0. Let h(w) = -w**3 - 5*w**2 - 5*w - 5. Let s be (0 - 4\/(-10))*-10. Let t be h(s). Is r smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 6.7091 (b) -0.1 (c) 1587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 3, c: 7, b: 3, a: 3}. What is prob of picking 1 c and 1 w?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 94, -400.\nAnswer: -400, -2, -1, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000927301064 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 10*a**2 - 7*a - 3. Let i be v(9). Let y = i + -9. Calculate the greatest common divisor of y and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3186755 litres to millilitres.\nAnswer: 318.6755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33278 * -4\nAnswer: -133112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 = 4*t. Let y = -9 - t. Suppose -k = 2, y*v = -0*v - k + 64. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w + 3*h, -8*w + 3*w - 2*h = -33. Sort -5, 8, w, -1.\nAnswer: -5, -1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 24. Let c be l(0). Calculate the least common multiple of (-6)\/(-3 + 0)*9 and (-188)\/c + 2\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4590\/(-100))\/9)\/(5\/(-1)*41\/1025)?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 61*f + 88 = -34*f. Let w(s) = 3*s**3 - 2*s**2 - 6. Let l(n) = -n**3 + n**2 + n + 1. Calculate f*w(i) - 2*l(i).\nAnswer: -i**3 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jilj when four letters picked without replacement from {l: 1, i: 3, y: 2, j: 10}.\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 26\/286.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22540 and 35084.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(((a**5*a)\/a)\/a)\/a*a)**(1\/4)*(a**24*a)\/(a*a**(-6)*a))**(-2\/7) assuming a is positive.\nAnswer: a**(-121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**4*s**2 + 3087*q*s**2 + 375*q - 19600*s**2 + 7*s - 12 wrt q?\nAnswer: -4*q**3*s**2 + 3087*s**2 + 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -6427403.\nAnswer: -3\/6427403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.2354 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) + 0)) + 3)*4)**2 + (sqrt(119)\/(sqrt(14)\/sqrt(2)) + 0)*-4.\nAnswer: -4*sqrt(17) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 71. Let d(c) = 5*c**3 - 70. Calculate -4*d(j) - 3*i(j).\nAnswer: -2*j**3 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268005 by 15.\nAnswer: -17867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 9*n**2 - 15*n**2 + 2*n**2 + 2*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/((t\/(t**(-3)*t))\/t))\/(t**(-1)\/(t*(t*t**(-3\/7))\/t)) assuming t is positive.\nAnswer: t**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9703970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*q**2 + 173*q**3 + 141*q**2 + 136*q**2 - 170*q**3 - 414*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 46 + 1. Solve 3*v + 11 = 2*a + w, -4*a = 4*v + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 635839380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639515146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -28, -60, -114, -196, -312?\n\"Answer: -w**3 - 2*w**2 - 3*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29217823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 117*m**2 - 390*m + 3614. Determine x(120).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -477.692?\nAnswer: 191.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 33*p - 1706 = 27*y + 44*y, 3*p - 4*p = 3*y + 71 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011010222202110012 + 2?\nAnswer: -1011010222202110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 - 0.14. Let z = 0.613 - -0.047. Let o = c + z. What is the second biggest value in -0.3, 5\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.273742 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 300. Let s be 4\/6*(t - 1). Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = -4*v + 34, 5*v = 5*w + 15. Solve g + v = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -69*q**7\/70 + 73*q**4\/4 + 70*q**2. Find the second derivative of c(b) wrt b.\nAnswer: -2484*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q**5\/9 + 428*q**4\/3 + 4856*q**3\/9 + 6604*q**2\/9 + 434*q + 848\/9 = 0. What is q?\nAnswer: -1, -8\/13, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 times 0.057?\nAnswer: 0.003363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11065*o + 641781. Calculate w(58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001868 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/(-6))\/(92\/552))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9240.162 weeks?\nAnswer: 5588449977600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 148874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 + 57*p**3 + 390*p**2 - 6600*p = 0.\nAnswer: -11, 0, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 76289*u - 20070604. Determine m(-264).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 2*z**2 - 8*z - 2. Give n(4).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 + 0.01. Let u = 616.3 + -616.5. Let v be ((-1)\/8)\/(3\/6). Which is the closest to -0.3? (a) k (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 57*x - 40 = 0. Sort -4, 4, 52, x in ascending order.\nAnswer: -4, x, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/49*(42\/(-20))\/((-111)\/185)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733009228 to the power of 1\/3, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + z = 7*x + 2389, -4*z + 1596 = 2*x. What are the prime factors of x?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9*(-45)\/70)\/(((-780)\/1768)\/(-5))\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*l**2*y**2 + 27*h*l*y**3 - 20*h*l*y**2 + 2*h*y**3 + 3*h*y**2 + 72*l**2*y**3 - 7*l**2 wrt y?\nAnswer: 162*h*l + 12*h + 432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 2*l - 2 - l + 2 + (-2*l + 4*l - 3*l)*(4 - 1 - 1) - 2*l - 3*l + 4*l)*(2*l - 3*l - l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2479260759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1700)*6.\nAnswer: 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 2322*a + 449307.\nAnswer: 3*(a + 387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-125)\/100*-8*1. Let a(h) = 5*h - 44. Let y be a(o). Solve s = -y + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000001111001000 + -111?\nAnswer: 101000000001111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 - 2. Suppose -337*d + 334*d + 15 = s, -6 = -s. Determine u(d).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2. Let h be l(3). Suppose -2*f - 12 = -3*x - 3*f, h = 4*x - 5*f + 3. Solve -x*w - 3 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 6*k + 4. Let v be a(6). Suppose 4*f + 678 = 8*f - l, v = 2*l. Suppose -7*p + 957 = -f. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93\/2*(-32)\/(-48).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1161 in -0.4, -0.9, -3\/5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)\/(((((u\/u**(-6))\/u)\/u)\/u*u)\/u*u))\/((u*(u\/((u*u**(1\/6)*u)\/u))\/u)\/u*u**(-3))*(u**(2\/7))**(21\/8)*(u**(-3\/5)*u*u)\/u**1 assuming u is positive.\nAnswer: u**(367\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/8)\/((-2)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-18))\/(3\/(-9)). Does 2 divide (-5 - -3) + j*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 - -661. Suppose -d = -5*d + p. Let l = -55 + d. Solve -l*x + 15 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -386 - -386. Let j(u) = -u**2 + 7*u - 2. Let s be j(3). Solve -5*r - s = b, 6 + 2 = -2*y - 2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3743\/90 - 422\/9. Find the common denominator of -63\/832 and x.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/12*96\/(-90)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3838055 = 348*n - 5053384 - 9797131. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27172, -3, 759\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 2*g = 30, -2*g + 176 - 174 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 247896 = -120*j. List the prime factors of j.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -827 + 2334. Let s = 2154 - t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272589973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 764684?\nAnswer: 23\/382342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/30)\/(6\/9). Let z be (159\/30 - (-90)\/(-300))*(-4)\/(-5). Which is the nearest to o? (a) -0.3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l + 1. Let v(p) = p**3 + 2*p**2 - 3*p + 3. Let h = -112 + 119. Let o(g) = 2*g**2 - 11*g - 15. Let f be o(h). What is f*a(s) - 2*v(s)?\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90307, -90432, -90557, -90682, -90807?\nAnswer: -90932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let p(s) be the second derivative of 3*s**3 - s**2 - 31*s. Determine p(l(y)).\nAnswer: -18*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 9}. Give prob of picking 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 14\/12 - (91\/168)\/(-13)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12475 = 3*x, -a - 5*x + 4*x + 6238 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3093.809452 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306188 is divided by 304321.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 12725 = -32125. Let v = a + -1242. Suppose 1310 = 8*x - v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 - 133 = -10*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0.00739803.\nAnswer: -4.99260197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.72 - 2. Let f = x - 12.72. Suppose -2*j + y = -6, -17 = -5*j + 4*y + 1. What is the nearest to -1 in j, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1539*k**3*l*m**2 + 11*k**3*m**3 + 4*k**3*m**2 + 4*k**2 - 5*k*l*m**3 + 45*l*m**3 - l*m wrt m?\nAnswer: 66*k**3 - 30*k*l + 270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435514629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 6, -54.9?\nAnswer: -54.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330 + 341034350?\nAnswer: 341034020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29352 and 14.\nAnswer: 205464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 250, 686, 1324, 2158, 3182, 4390, 5776?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*b - 12, 3*b = -5*k + 2 - 16. Let r(j) = 6*j - 2. Let t be r(b). What are the prime factors of (6\/(-5))\/((-4)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*f + 2, -9 = -3*f + f - 3*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1959475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((43\/258)\/((-2)\/9))\/(6\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(24\/((-288)\/(-12)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4\/5)\/((-4)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/13 less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 217 - 35. Let f = d - -95. Solve -11 - 9 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w)\/(w*w**(-7)))\/((w\/(w*w**(-1\/7))*w*w*w)\/w*w**(-5))*(w*w**(-2))**(-1\/35)\/(w*w\/w**(2\/7))**19 assuming w is positive.\nAnswer: w**(-3211\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/13)*(r\/r**(1\/8)*r)\/r*r*(r*r**(-1\/4))\/(r**(-2\/5)\/r) assuming r is positive.\nAnswer: r**(1973\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 11*j + 19. Let t be d(8). Let f = 65 - t. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 10*f - 7. Suppose 10*t = 3 - 73. Let z be w(t). What is the highest common divisor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 + 15*s**2 - 3*s - 15 = 0. What is s?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 3*t**4 + t**5 - 2*t**4 + (0*t**2 + 0*t**2 - 3*t**2)*(-t**3 + 7*t**3 + 2*t**3) + (2 - 1 - 2)*(0 + 0 - 2*t**5) + 12*t**5 - 10*t**5 + 4*t**5.\nAnswer: -17*t**5 + t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - 23) - (-6 + 0) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3875*h + 3195*h**2 + 3875*h.\nAnswer: 3195*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/165)\/((-2)\/4*38\/(-171))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 15 = 2*p, 255*p = 4*h + 274*p + 115 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + 0*v + (0 - 4 + 6)*(4*v - 6 + 6))*(-v + 2*v**2 + v) as z*v + c*v**2 + n + t*v**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -0.4972?\nAnswer: 0.5972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16117 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - 3*t**2 + 2*t - 3. Let p be u(2). Suppose -21 = -r - c, -r - 2*c = -2*r + 12. Let m = r - p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 - 9*l**2 + l - 9. Let x(s) = -7*s**3 - 17*s**2 + s - 18. Let u(f) = -9*t(f) + 4*x(f). List the prime factors of u(12).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15000 and 3908250?\nAnswer: 78165000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/5 + 2*k**3\/5 + k**2\/5 - 2*k\/5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -105696808 and 2169?\nAnswer: 105698977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55914661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-51)\/238)\/((-4)\/(-49)))\/(13\/(-208))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -411124110 (base 6) to base 16\nAnswer: -6babca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 63. Suppose 7 = -2*h - d. Let j be ((-5)\/h)\/(9\/24). Which is the second biggest value? (a) -1 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 3. Let q = -18.5 - -19.5. Put 4, q, p in descending order.\nAnswer: 4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 2*q)*(3*q**3 - 3*q**3 + q**4) + (-q + 2*q + 2*q)*(0*q**2 + 0*q**2 + 3*q**4) - 4*q**5 - 2*q**5 + 3*q**5.\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 14 - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150430685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -645, -653, -675, -717, -785?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**2 - 3*k**2 - 3*k**2. Let h(d) be the second derivative of d**3\/3 + d - 17. Determine h(t(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16 + 25 - q + 27 - 63. Suppose 2 = -4*g + 3*g. Let a(k) be the second derivative of -k**3\/6 + 2*k**2 - k. Calculate g*w(l) + 3*a(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*-6 + 1. Suppose -w - 1 = -a. Let o = a - -26. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 33*u - 7 + 4*u - 4*u - u + (1 - 4 + 2)*(-1 + 1 - u) + 2*u + 0 + 0 in the form c*u + i and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -k - 44 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8076 + 4389. Round t to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -11*a - 10*a. Sort a, 1, 5 in ascending order.\nAnswer: 1, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -53.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4536 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*2.3.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13622534 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18059029 is divided by 3937.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 1322868*q.\nAnswer: 2*q*(q + 661434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((3472\/1737 + -2)*-3). Let i = g + -342. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 0.42. Let c be (-73)\/4 + 3\/12. Let w be -1 + 3 + 44\/c. Sort p, -2, w in descending order.\nAnswer: p, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = -2*n, -n - 10 - 3 = -2*w. Suppose t + 1 - 2 = 0. Calculate the greatest common factor of w and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*m**2*u*y**2 + 14*m**2*u*y + 9*m**2*y**3 + m*u*y**3 + 89*m*u*y**2 - 2*m*y**3 - 56*y**3 wrt y.\nAnswer: 54*m**2 + 6*m*u - 12*m - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.2483 millilitres in litres?\nAnswer: 0.8812483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nninbnbcqbdn. Give prob of sequence dic.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 18*p**2 + 26*p - 12. What is the hundreds digit of b(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 13 (b) -2\/3 (c) 0.4 (d) 16\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**30*(a**(-1\/2))**41 assuming a is positive.\nAnswer: a**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v = -8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**2*k)\/k)\/((k\/k**(-21))\/k))**(2\/69) assuming k is positive.\nAnswer: k**(-14\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.296*-0.5.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - p + 2*b + 2 = 0, 0 = 3*p + 2*b - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 6*f - 85 = 0, 3494 = 5*i + 3*f + 3499 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5290.7 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 6*t**2 - 4*t + 3. Let p be c(-5). Calculate the common denominator of 6\/9 + 1004\/96*p and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10963288, -10963280, -10963272, -10963264, -10963256?\nAnswer: -10963248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18725*h*s**2 - 46*h*s - 190678*h wrt s.\nAnswer: 37450*h*s - 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129.9897 and -8.7.\nAnswer: 1130.91039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-40))\/(((-36)\/(-10))\/(-6))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/4 - 8*z**3\/3 + 4*z**2 + 6*z - 2. Let t be m(6). What are the prime factors of 2\/12 + (-33)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1108 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 - 4*h. Suppose -2*y + 2 - 1 = l, -5 = 3*l + 2*y. Let n be q(l). Is 6128\/60*n + (-3)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975\/(-1040)*(-48)\/36?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0 (c) -0.3 (d) 2\/165 (e) 1.2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 19. Suppose -c*a + 72 = -11*a. Let k be (-948)\/(-21) + 4\/(-28). Calculate the highest common factor of a and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 645255 or 8?\nAnswer: 645255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531508 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let a(h) = -5*h - 6. Let o(g) = g - 17. Let m(z) = -2*z + 35. Let f(u) = 3*m(u) + 5*o(u). Let w be f(21). Give w*a(q) + 6*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldtt when four letters picked without replacement from {d: 1, i: 10, l: 3, t: 2}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 350*i - 355 = 0. What is i?\nAnswer: -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*q - 6, q + 2*q + 5*o - 6 = 0. Let b(y) = 67*y**3 - 2*y - 3*y + 4*y**2 + 20*y**3 + 5. Is b(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*1*-5)**2 + 2 + sqrt(180)*-2 - (-4 + -1*sqrt(180) + (sqrt(180) + (sqrt(180) + -1 + sqrt(180))*-4 - sqrt(180))**2)) + -2.\nAnswer: -8652 + 378*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let o = 1094 + -1089. What is the third smallest value in o, j, 0.24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*y + 7*y. Suppose y*x = -2 - 3. Is 13 a factor of 27\/(x - (-15)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 3*o**4\/8 + o**3\/3 - 317*o**2 - 2*o. Let x(h) = -46*h - 10. Calculate 14*f(b) + 3*x(b).\nAnswer: -12*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q + 630 = 43*q. What is the derivative of 127*j - 253*j - 39 - 25*j**3 + q*j wrt j?\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 3074.\nAnswer: 116812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2907592*g. Let r(t) = -17*t**2. Calculate u(r(h)).\nAnswer: 49429064*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Suppose -x*n + 449 = -3*d, -540 = -2*n - 3*d - 97. Suppose 6*z - n = 107. What is the greatest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/180 + 19*f**3\/6 + 4*f. Let a(q) be the second derivative of l(q). Let u(c) = -16*c**2. Determine u(a(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/4)*b)\/(b\/b**(-2)))\/(b**(1\/3)*b*b\/(b*b*(b\/b**(2\/5))\/b)))**(-13\/3) assuming b is positive.\nAnswer: b**(1547\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*(456\/30)\/19.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 126, 310, 578, 936, 1390, 1946, 2610?\nAnswer: 3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + 1. Let k(x) = -7*x**3 + 2*x**2 + 6. What is k(a) - 6*n(a)?\nAnswer: -a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*10\/(-3)*(-21)\/((-1995)\/(-38))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oobb when four letters picked without replacement from {o: 3, b: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/3 + 46*w**3\/3 + 173*w**2\/3 + 212*w\/3 + 28 = 0 for w.\nAnswer: -42, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.035 and -2374?\nAnswer: 83.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Let x(q) = 4*q**3 - q**2 - 3*q. Let d(k) = -k**3 + k**2. Let v(i) = -3*d(i) - x(i). Give v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g - 128. Determine k(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -0.2, -19\/34, 2\/17, 11, -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 593775*o**3 - 2248010*o**2 - 788080*o - 57600 = 0.\nAnswer: -2\/9, -40\/377, 144\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5570 divided by 2\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151404 (base 8) to base 11.\nAnswer: -3764a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 - 302. Suppose 4*u - 5*u - 112 = 3*t, d*u = 10. Is t greater than or equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*45\/(-30). Put -29, 1, 3, f in decreasing order.\nAnswer: 3, 1, f, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -16338*n + 277807. What is p(17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 429 = -j, -1134*j = -5*x - 1137*j + 433 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 415?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76+-376749.6099\nAnswer: -376825.6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 289?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 0*b - 2*b)*(-3 + 5 - 1) + (-4 - 3 + 1)*(-b + 1 - 1) - 3*b - 4*b + 4*b - 2*b + 6*b - 2*b)*(3*b**2 + 7*b**2 - 29*b**2).\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 25. Let h be u(13). Let v = h + 32. Solve -6*o - v = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let q be ((-2)\/y)\/(-2 + 0). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o)**(-1\/29)\/(o**1)**26)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -1804, -111 in increasing order.\nAnswer: -1804, -111, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4223)\/(-861) + (-8 - -3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let c be 9 - (2 - m)*1. Suppose -3*n + 159 = c. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 443 = 75 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + g - 2815. Determine r(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-7\/5)*((u\/u**1)\/u*u)**(-36) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16890060 and 97\/8445030.\nAnswer: 16890060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let c = 0.2 - -0.3. Let h = -0.97 + -0.03. What is the smallest value in c, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -267\/5. Let y = -860 - -861. Which is the closest to 0? (a) t (b) -0.05 (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:49 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 - p + 1. Let r be l(1). Let z(x) be the third derivative of -x**5\/60 + 5*x**4\/24 + 5*x**3\/6 + x**2. What is the units digit of z(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171 - -219) + -20 + -39?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10111110101 (base 2) to base 15\nAnswer: 6ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -699, -688, -677, -666, -655?\n\"Answer: 11*m - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(90)\/sqrt(3))\/sqrt(10)*-4*3 - ((sqrt(768) - (sqrt(768) + 4*(sqrt(768) + 0))) + -4*(sqrt(768) + 1)))**2.\nAnswer: 1600*sqrt(3) + 120016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 189. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*s - 1305 = -177 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(2\/29) assuming f is positive.\nAnswer: f**(-4\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 2*g**2 + 20*g - 20. Give w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**3\/3 - 28. Let h(t) be the first derivative of 2*t**3\/3 + 2. What is j(h(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9226 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*o - o + 2*o)*(0 + 4 - 5) + 2593*o - 2882*o - 1386*o)*(2 - 4 + 4) to f + n*o and give n.\nAnswer: -3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 5:33 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*v + 2*v + 276, -v + 807 = 3*i. Let a = -143 + i. Suppose 5*f - a - 203 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86630207, 86630206, 86630205, 86630204?\n\"Answer: -v + 86630208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.3 - -17.6. Let m = -23.8 + u. What is m rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, a: 14}. What is prob of sequence aapa?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uulluubl. What is prob of picking 2 l and 1 b?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + h**2 + 77*h - 6*h**2 + 352*h - 437*h + 1.\nAnswer: -5*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6416598 rounded to two decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -60896 * -13\nAnswer: 791648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (9 - 9 - 2) - -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3000*j**2 + j - 5. Suppose -x = 4*z - 164, -138 + 26 = -3*z + 2*x. Let a = z + -35. Let p be h(a). What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -26. Solve 4 = -n - c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373200 (base 9) in base 12?\nAnswer: -306000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(832) + sqrt(832) + sqrt(832) + sqrt(832)))**2.\nAnswer: 332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/40*20\/15*10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*d = 16, 5*d - 12 = -3*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:04 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7458162.\nAnswer: 2, 3, 29, 42863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*3 - (sqrt(252)\/sqrt(4) - sqrt(7)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:14 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*a**5 + 2*a**3 + 237*a**2 wrt a?\nAnswer: 3840*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55111830 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h, 5*q + 2*h - 2 = -0. Which is the closest to 2\/3? (a) 0.3 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45, 32, -1, -4.\nAnswer: -4, -3, -1, 32, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 165, 495, 1129, 2169, 3717, 5875?\n\"Answer: 17*w**3 - w**2 + 12*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = -4*y - 4*a, -4*y - 15 = 3*a. Let q(k) = y*k + 2*k + 6*k - 10*k. Let n(m) = 2*m**2. What is n(q(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15123 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108234.1 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -12252?\nAnswer: -12254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 38*d**2 + 37*d - 46. Is 8 a factor of s(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.4. Let z = 2.3 + d. Let o = z - 1.9. Which is the nearest to o? (a) -2\/11 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -406.7 and -1.42?\nAnswer: 577.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 97 = 97. Suppose v = 12*a - 225792 - 217812. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87876 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 424\/20)\/((-120)\/195900).\nAnswer: 2, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7327, -13487, -19635, -25765, -31871, -37947, -43987?\nAnswer: -49985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + m = 1 - 3, w + 2*m = 1. Put w, 691, 1 in descending order.\nAnswer: 691, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 106*n + 18. Let x(f) = -88*f - 15. Let y(a) = -5*h(a) - 6*x(a). Let z(c) = 597*c + 3. Calculate z(y(q)).\nAnswer: -1194*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274\/7 + -39. Let p be (-2)\/8 - (-27)\/12. Let k = 22.9 + -23. Which is the smallest value? (a) x (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 53*h**2\/2 + 2*h + 2. Let y be w(1). Suppose 2*u - 48 = -4*j - 2, -5*u = -2*j - y. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -421*i**2*n*v**3 + 40*i**2 - 22*i*n*v**3 - i*v**2 - 19*n wrt v.\nAnswer: -2526*i**2*n - 132*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**4 + 2*r**4 - 3*r**4)*(472 + 27 - 86) to l*r**2 + u*r**4 + q*r + w*r**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3601 and 21?\nAnswer: 28.5621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 9) in base 5?\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4740.854299129 - -3.1\nAnswer: -4737.754299129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 101. Let z(d) = -2*d + 100. What is -2*v(a) + 3*z(a)?\nAnswer: -2*a + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j + 1759 - 1322 + 1723 = 0 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, -3\/2, 2\/7, 1\/3 in decreasing order.\nAnswer: 0.4, 1\/3, 2\/7, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*v + 42 + 34 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 61 = -19. Solve -5*d = 20, -4*u + 0*u + c = d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c25 + 1591?\nAnswer: 96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71304 is divided by 7930?\nAnswer: 7864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*s = -920*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64523447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**7\/42 - q**6\/6 + q**5\/4 + 5*q**4\/6 - 10*q**3\/3 - 239*q**2. Factor f(n).\nAnswer: 5*(n - 2)**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33334 is divided by 6646?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 30989846591.\nAnswer: -30989846593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, -51883, -0.819 in increasing order.\nAnswer: -51883, -0.819, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19*i**2 - 17. Let x(y) be the first derivative of 19*y**3 + 52*y - 15. Let v(g) = 8*b(g) + 3*x(g). Find the first derivative of v(k) wrt k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, i: 1, u: 2, r: 4}. Give prob of sequence irr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*y + 100724 = 0, -x = -2*y + 17112 + 8081. Is 1\/4*-1 - x\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 9*l - 5. Let r be 6*(-3 - (4 + -6)). Let a(k) = 11*k**2 + 10*k - 6. Let u(t) = r*p(t) + 5*a(t). Find the second derivative of u(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -27*x**2 - 22*x + 670. Let b(v) = 7*v**2 + 6*v - 167. Give 22*b(u) + 6*y(u).\nAnswer: -8*u**2 + 346","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + (-21 - 1) + 8. Put m, -0.4, -165 in descending order.\nAnswer: -0.4, m, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*y - 36. Suppose y = -4*g + 6*g. Find o, given that 0 - 3\/4*o**3 - 1\/4*o**5 + 3\/4*o**4 + 1\/4*o**g + 0*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Solve d + 5 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(-11\/5)\/(t**(-1\/2)*t*t**(-2\/13)\/t))**(25\/4) assuming t is positive.\nAnswer: t**(3285\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3\/2*b**2 + 14*b + 5. Let t be y(6). Let h(l) = 1. Let d(x) = 2*x - 4. Determine t*h(z) - d(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -5*k**3 - 14*k + 23. What is the first derivative of m(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {m: 4, f: 5, l: 3}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5496 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 2495?\nAnswer: -174.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -178.58955 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045741 is divided by 6813?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z + 65. Let p(l) = l**3 + 14*l**2 + 14*l + 9. Let n be p(z). Which is smaller: -5\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.2 + -54.2. Let l = -25 - c. Let g = 19.99999991 - l. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25987556501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -126. What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - (2 + -6 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1457073 and 5.\nAnswer: -0.7285365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 74454500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17\/q)\/(q*q**(7\/11)\/q)*(q**4)**(4\/21))**(-9) assuming q is positive.\nAnswer: q**(-11175\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 59. What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-65)*-6)\/((-82)\/(-1435)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14251, -28525, -42809, -57103, -71407?\n\"Answer: -5*p**2 - 14259*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -58*k - 708. What are the prime factors of s(-42)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by 255?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3101551 - 53?\nAnswer: 3101454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 11:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00966 and -55412404.\nAnswer: -55412403.99034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.1 (c) -10 (d) -5\/7 (e) -0.4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 928 - 228 = 0. Let v = a + 150. Calculate the remainder when 228 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**2 + 0*z**3 + 2*z + z**3 - 17*z**2 + 2 + 2*z**4 in the form m + c*z**4 + h*z**3 + i*z**2 + f*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -236. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1019*g**3 + 10*g + 11. Does 5 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 - 3*a**2 - 3*a - 2. Let x be m(-5). Suppose -4*d + 130 = -x*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 169\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167439823673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71.16 (b) -1.4 (c) -4 (d) 0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t**2 - 3*t. Let o be v(-4). Let n = o + 163. Is 11 a factor of (-1)\/(1*3\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rurd when four letters picked without replacement from cruuuurd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358596 is divided by 593.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360926?\nAnswer: 2, 180463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let a(p) = p**2 - 10*p - 13. Let w(x) = -a(x) - 3*z(x). Let j be w(8). Sort j, 5, 1.\nAnswer: 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/5 (c) 39 (d) 6.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {v: 1, w: 3, e: 9, z: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18274577674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5010012.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111472520 is divided by 324?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11 = -4*z, -4*h = -6*h + z + 2. What is the units digit of (-1)\/(-1)*(h + 3 - -46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmxl when four letters picked without replacement from xommlxomoomolooo.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011111011011100011 (base 2) to base 4.\nAnswer: 130133123203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 5) to base 13\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 373\nAnswer: -55.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Suppose n = -4*g + 16 + 8. Let c be (-18)\/(-12)*16\/g. Sort 2, c, -5.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 64 = -45*w + 41*w, w - 39 = -4*n. Solve 0 = -2*h + 7 - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 3. Suppose 5*y = -4*v - 3, 0 = 5*y - 2 - 3. Let j(x) = 1. Calculate v*u(b) - 10*j(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 116*j**2 + 1170*j - 876. What is c(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 1, h: 1, t: 4, v: 1}. What is prob of sequence hf?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.24792 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6917476 to two decimal places.\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.55, 5, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 5*m + 2. Let j be 12\/8*(-8)\/(-4). Suppose j*t + 4*b - 123 = 3*b, -205 = -5*t + 4*b. What is the remainder when t is divided by l(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013127095 to seven dps.\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 46*f - 27*f - 2314.\nAnswer: -2*f - 2314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.88999 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - n. Let v be h(1). Let d = -27 - v. Let a be 1\/(3\/9) + -3 + d. Is -21 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**3 + 112*d**2 + 172 wrt d.\nAnswer: 36*d**2 + 224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*4\/(-12) + 3. What is the third derivative of -p*i**4 - 8*i**6 + i**6 + 2*i**4 + 4*i**2 wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 3*y + 4*y - 4*y**2 - 5*y - 2*y.\nAnswer: -4*y**2 - 6*y - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089431620437 less than -0.1?\nAnswer: -0.0910568379563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rckkk. What is prob of picking 1 c and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-33 + -4 + 23)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-4 - 85\/(-15)). Let a be 34675\/125 - (-3)\/f. Let h = -157 + a. Round h to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6659987 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 3. Let c be p(5). Let t = -11 + 12. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20436 divided by -4?\nAnswer: -5109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:13 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/12222936 and 19\/16104.\nAnswer: 12222936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 687606140 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7269, -14522, -21765, -28998?\nAnswer: -36221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 766146 = 766143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.083061494, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/5 + -3 + (-11298)\/(-70) is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 5*q + 37. Calculate j(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 66*w**4\/5 - 27946*w**3\/5 - 2529204*w**2\/5 + 1098304*w\/5 + 369600 = 0.\nAnswer: -77, -2\/3, 12\/11, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let u(m) = 12641*m**3 - 5*m**2 + m - 5. Let s be u(n). Round s to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 14, 33, 30, -1, -66, -171?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.726\nAnswer: 0.2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 4*g + 3, -4*a - 2*a + 45*g - 50*g - 132 = 235 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 23021551.\nAnswer: 23021543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = 3*h, -4*h - 29 = 2*q - 5*h. Let v(d) = d**3 + 35*d**2 + 122*d - 36. Calculate the remainder when v(-31) is divided by ((-3)\/4)\/(1\/q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -872*k + 873*k + 4*g, g = -2*k - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137 in -1.4, -1\/5, -464, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*s + 35*s + 50*s)*(5 - 6 + 2)*(3 + 1 + 3)*(-2*s + 4 - 4)*(-4*s - 2*s + 5*s).\nAnswer: 868*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249340979?\nAnswer: 249340979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -247728 divided by 61932?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84, -5, 78, 165, 256?\n\"Answer: 2*d**2 + 73*d - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2260 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6634, -6634, -6624, -6598, -6550, -6474, -6364?\nAnswer: -6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2733574 = -4*z - 1402434. Let j be z\/11 + (-2)\/(-11). What is j rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.82 - -3.1. Let a = 0.2 - q. Put 2\/9, a, -4 in decreasing order.\nAnswer: 2\/9, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -22*h + 18*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*t*z**2 - 273*t*z + 3*z**4 - 27*z**2 - 12*z + 2 wrt z.\nAnswer: -64*t + 36*z**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**3 - 23*z**2 + 12*z + 6. Let h be k(-5). Let f = -3 - 3. Let l be f\/4*22\/(-3). What is the greatest common factor of l and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 838383.6ml?\nAnswer: 838.3836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -5*k**3\/3 - 30. Let z(f) = -2*f + 3*f + 0*f. What is z(v(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**3 + 0*m)*(1487 + 30 - 561)*(-2 + 2 - 1).\nAnswer: 1912*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11066*k - 11062*k + 2*y - 42, -2*k + 5*y - 141 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goxonoxqgnnoonxnn. Give prob of picking 2 o and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1516404?\nAnswer: 1\/505468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-7 - (1 - (-92)\/(-12))). Determine u so that -4\/3 + g*u - 2\/3*u**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 z when four letters picked without replacement from {h: 1, e: 7, b: 2, y: 2, s: 1, z: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 40342408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 11*h**5\/60 + h**4\/24 - 14*h**2. Give s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40828?\nAnswer: 2, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 + (-4 - -3) - (12 - 5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + 5 + -29 + -21 + 26.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, 2\/93, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 5, u: 3, z: 5, a: 1}. What is prob of picking 1 q and 1 u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 23. Let p(u) = -u**2 - 9*u + 5. Let w be p(x). Suppose -2*f - 3*k + 2 = -17, -3*f = k - w. Calculate the lowest common multiple of f and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230304998?\nAnswer: 2, 7, 11, 213641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242123341 - -1104?\nAnswer: 242130000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 0.3, -48, -5, 0.04 in descending order.\nAnswer: 0.3, 0.04, -5, -48, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128235233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (6 - 15) + (-2 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-5) - -7)\/2. Solve 0 = 2*g - 5*g - 5*k - 8, 5 = -3*g - n*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312646879.\nAnswer: 167, 1872137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + b - 2. Let j = -10 + 6. Let s be (-6)\/24 + 7\/j. Determine n(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 200, 420, 686, 974, 1260?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - q + 156 - 171, 0 = -5*m + 5*q + 25 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -354\/7451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 6. Let h be c(-3). Let a = h + 8. Suppose 11 = a*x - 29. Solve 5*u - x - 15 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1638 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -10, 3*v - 24 = -3*j - 0*v. Suppose n + 5 = 2*i, 3*n - 4 + j = 3*i. Which is the closest to n? (a) 0 (b) -23 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*f - 4*h, -5*f + 9 + 15 = 4*h. Calculate the remainder when 53 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + i**2 + 5*i**2 - 3*i**2 + 0*i**2 to l*i**3 + u*i**2 + r + d*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -7 (b) -2282 (c) 2\/9 (d) -6\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -3082?\nAnswer: -309a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -49.\nAnswer: -17\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773625241?\nAnswer: 61, 12682381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2080.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 24*l + 41. What are the prime factors of z(7)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose 3*g + 0*u = 2*u + 34, -6 = -g + s*u. Suppose -t + g = 1. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -18*d**2 + 2412*d + 1353. What is f(135)?\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51198.08l?\nAnswer: 51198080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -97745 and -1.\nAnswer: -97746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 5*b - 16*b - 3*b + 17421 + 6*b.\nAnswer: -3*b + 17421","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -62, -78, -112, -170, -258, -382, -548?\n\"Answer: -x**3 + 3*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k - 4*k - 5 + 3*k - 7 - 2. What is a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/3, -0.1.\nAnswer: -2\/3, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 * -513585.\nAnswer: -33896.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)\/z**(-1))**(-4\/13)\/((z\/z**(-7\/2))\/(z\/z**(-3)))**(-39\/5) assuming z is positive.\nAnswer: z**(3189\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 134372.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - y - 67 = 0, -r + 2*y - 31 = -4. Let v = -23 - r. Suppose -3*u - 2*o + 84 = v, -u - 5*o + 16 = 1. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 11*z - 11*z - 2*r, -28*z + 4*r - 140 = -36*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctt when three letters picked without replacement from ctcctyytct.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 974*u**2.\nAnswer: u**2*(u + 1948)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208041714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21890807?\nAnswer: 21890807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zolz when four letters picked without replacement from {l: 4, o: 9, z: 4}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9391279*t*u**3 + 2*u**3 - 9*u**2 + 11808*u - 6 wrt t?\nAnswer: 9391279*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 2*x + 1. Let z be t(1). Let f be (-1)\/z + -3 + 2. What is the third smallest value in 0, f, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24438 and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 411?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-22)*18 + 17 - 56\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1033 = 1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5104464kg in tonnes?\nAnswer: 0.0005104464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3 = -21. Let j(u) = -u**3 - 5*u**3 - 11 + 5*u**d + 24*u - 5*u**2 + 15. Let i be j(-8). Solve 2*z - 2 = i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*1 - (4 - 267). Suppose 5*y + j - 1195 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*g**2 - 7*g**2 - 10*g**2)*(137*g**2 - 377*g**2 + 77*g**2).\nAnswer: 10432*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74091 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 5*i**3 + 6*i**3)*(2*i - 498 + 498)*(7 - 5 + 0).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000845018 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -165 + 10 - 7*n - 21*n + 16. Let f be h(-8). What is the greatest common factor of 20 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let v = l - 3. Suppose p = -v*p + 3. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5714, -5846, -5968, -6074, -6158?\n\"Answer: i**3 - i**2 - 136*i - 5578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 214952300 to the nearest 100000.\nAnswer: 215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4 + 2. Let a(c) = 36*c**2 - 16*c - 16. Let p(f) = -7*f**2 + 3*f + 3. Let b(g) = l*a(g) - 16*p(g). Let z(w) = 2*w. What is z(b(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2*8\/(-4)*99*(-994)\/(-10224)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 814*q - 5829 + 1759. Let b(h) = -h**2 - 7*h - 6. Let y be b(-5). Solve -2*o - 3*w + y = -3, -q*o + 2*w = -27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 12*1)*(-128)\/(-80). Suppose -9*q + c = -110. Calculate the remainder when 51 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 655.25 + 476.64. Let d = -1125 + o. Let g = 1.01 + d. What is g rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 702\/42 - (-2)\/7. What is the greatest common divisor of l and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-3 - sqrt(3))**2 - (sqrt(3) + -3 + 0 + sqrt(3)).\nAnswer: -2*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 44*i**2 + 5*i + 2. Let d(p) = -22*p**2 - 3*p - 1. Let m(u) = 7*d(u) + 4*j(u). Suppose -2 + 1 = -v. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7178689 and 84.\nAnswer: 86144268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 112 - 24 = 26*v - 19*v, -6*u = -3*v + 84 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 378399993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12)*3\/2. Is s at least as big as 1\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 28*r**3\/5 - 26*r**2 + 40*r.\nAnswer: -2*r*(r - 5)**2*(r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 224729686585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o. Let m be d(-1). Let h = m + -421\/10. What is the common denominator of -45\/4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-8)\/(-132)). Let a(c) = 3*c + 33. Let m be a(z). Suppose 20*d - 15*d - 2215 = m. 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 100101000010111011 + 10?\nAnswer: 100101000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*q**2 + 2*o**2*q**2 - 2*o**2*q + 12*o**2 - 3*o*q**2 + 16*o*q - 2*q wrt o?\nAnswer: -6*o*q**2 + 4*q**2 - 4*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 9:20 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288883, 577772, 866661, 1155550, 1444439?\nAnswer: 1733328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-42))\/((-209)\/(-7315))*(-450)\/(-20).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g + 2*g**2)*(110 - 489*g**2 + 126 + 490*g**2).\nAnswer: 2*g**4 + 472*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3873, -7748, -11621, -15486, -19337, -23168?\nAnswer: -26973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqmggnqggqxxgqqggqgq. Give prob of sequence xn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 5194*f**4 + f**3 - 232 + 10520*f**4 - 5330*f**4 to the form n*f**3 + c*f**4 + g*f**2 + o*f + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*u = -267*u - 8371 - 3681. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2146, 8694, 19620, 34924, 54606?\n\"Answer: 2189*v**2 - 19*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 20. Let l(z) = 1. Let c(q) = -h(q) + 3*l(q). Let k be c(-10). Find the second derivative of -70*w**2 - k*w**5 + 70*w**2 + 12*w wrt w.\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-72)\/(-12))\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 4, p: 1, i: 7, t: 2, k: 3}. What is prob of picking 1 k, 1 g, and 1 p?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*c**4 + 12\/7*c**2 + 18\/7*c**3 - 15\/7 - 18\/7*c = 0. What is c?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w + 4. Let c be z(0). Solve -c*s = s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 425*c + 2941 + 16036 + 1848 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is the value of ((-3 - -2) + 170\/160)*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, n: 3, a: 3, d: 2, x: 3}. Give prob of picking 2 b and 1 x.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61330954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16766 and 19392.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/((k**(-18)\/k)\/k))*k\/(k\/k**(-3\/16)) assuming k is positive.\nAnswer: k**(-323\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1613137 + 908037. What is z rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - u - 12 + 12 in the form j*u + b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 1578 - 416 + 148 = 0. Calculate the greatest common factor of b and 994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 17. Suppose -7*k + 12*k = m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -0.4 (b) -1 (c) 0.1 (d) 0 (e) 3.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8 + 18 - 2*o + 3*o. Let f be t(-11). Which is smaller: f or -8\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18758121, 0 in decreasing order.\nAnswer: 18758121, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 7, z: 4, q: 2}. What is prob of picking 1 w and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 24336 divided by 2.\nAnswer: 12168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - -45. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -584558 - 75.6644?\nAnswer: -584633.6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*p - 1582 + 370, -4*p - w + 1196 = 0. Suppose 2*o + p = -118. Sort o, 4\/5, 0 in increasing order.\nAnswer: o, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1027\/2555 + 1\/511. What is the closest to 7 in 5, q, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-60)*(-25370)\/236\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-4))\/((240\/(-15))\/16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y - 304 + 239. Put -3, 0, y, -2, 7 in ascending order.\nAnswer: y, -3, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 - n - 112. List the prime factors of v(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50076 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/3780 and -137\/52920.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(200) - 2*sqrt(200))))**2.\nAnswer: -2880*sqrt(2) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7*a - 2*a + a - 2*a + a**3 + 7*a as p*a**2 + x*a**3 + g + t*a and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*c**2 - 215*c**2 - 9*c**2)*(0*c + c + 2*c) + 177 - 2*c - 177 - 38*c**3 as h + i*c + o*c**2 + r*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = y - 98 + 93, 1 = -3*y - 2*x. Which is the closest to 10? (a) -4\/5 (b) y (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69881707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.681 times -0.03?\nAnswer: -0.26043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6384496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -11*m**7\/42 + 5*m**3\/6 + 2*m. Find the second derivative of l(x) wrt x.\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 24. Let g be (-3)\/4 - (z - 17). Suppose -9*d + 10 = 1. Sort 1\/4, g, d in decreasing order.\nAnswer: d, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7814092 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**(-19)*(y\/(y**(-1)\/y)*y)**(-13\/4))\/((y\/((y*y*y\/y**(-6))\/y))\/y**(-2\/9)*(y\/(y*y\/y**(-5\/4)*y*y)*y*y)\/y*y*y*y**1) assuming y is positive.\nAnswer: y**(-193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a*a*a*a**(-2))\/((a\/(a\/(a\/(a\/((a\/((a*a*a*a**(-2\/3)*a*a)\/a))\/a)))))\/a)**(7\/5) assuming a is positive.\nAnswer: a**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20785 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from ddffdfqmdqfdqp.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcf when three letters picked without replacement from {z: 3, v: 7, f: 3, c: 7}?\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (0\/(-1))\/(-2). Suppose j*s - t = -0*t + 15, 2*s + 4*t + 6 = 0. Find the first derivative of 3*m**3 + 3*m**3 + m**3 - 3 - s*m**3 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -328, -676, -1124, -1654, -2248, -2888, -3556?\n\"Answer: 3*y**3 - 77*y**2 - 20*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571804 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 1.01. Let z = -0.69 + t. Put z, 2, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57376\/11736*(-9)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 + 225*o + 1480 = 0. Calculate o.\nAnswer: -37, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - -3141?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100643 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 6 - 6 - 5*x. Let i(f) = -f**3 - 6*f**2 + f - 8. Let l(a) = i(a) - 4*y(a). Let q be l(-7). Solve q*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 1891811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/((-30)\/40 - 20\/16). Suppose 5*v - 3 = 27. Let w(i) = 5*i**2 + 6*i + 7. Let t(r) = 4*r**2 + 6*r + 6. Give l*t(y) + v*w(y).\nAnswer: 2*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - k + 5*k - 7*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 - 7\/84.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26648, -106632, -239942, -426578, -666540, -959828?\nAnswer: -1306442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t**5\/2 - 4119*t**4\/4 + 106725*t**3\/4 + 28869*t**2\/4 - 279003*t\/4 - 98505\/2 = 0 for t.\nAnswer: -1, 11\/6, 30, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66a3 (base 11) to base 5\nAnswer: 240300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(31 + 6*a - 31) + (2 - 3 + 4)*(-31 + 30*a + 31).\nAnswer: 102*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 3. Suppose 0 = 3*a - 5*d - 46, 3*d = d - 10. Let m = a + -11. Calculate the remainder when 35 is divided by x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3715*k + 89428 + 196572 = 44525 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20437\/10 + -2050. Suppose -2*w + 4050 = -568. Let u = w - 50789\/22. Calculate the common denominator of u and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917449528 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:13 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 34 = i. Suppose 4*j + 4*s - 120 = 0, -2*j + 56 + 24 = -2*s. Calculate the remainder when i is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 2. Let p be a(-1). Suppose 4*x + 12 = -p*k, 0 = -4*x + 2*k - 7 - 21. Let m(u) = u**3 + 4*u**2 - 8*u - 3. What is m(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 13. Suppose 41 = 2*q + a. What is the remainder when 77 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -206? (a) -2\/17 (b) -2\/5 (c) 300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51090 - 51087. Suppose -2*l = 2*l - 16. Suppose -4*u + 2*m = -4, -6*u + 8*u - 2 = l*m. Solve 2*y = 3*y - u, s*r = y + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 - 14\/5*b - 4\/5*b**2 + 2\/5*b**3.\nAnswer: 2*(b - 4)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845561 (base 9) in base 10?\nAnswer: 502741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:02 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1014*n**4 + 162*n**3 - 2*n**2 + 2*n + 867480.\nAnswer: 4056*n**3 + 486*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*v**2 - 124*v**2 + 58*v**2 - 2*v + 15*v wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = 7*p - 32 - 48 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - -1) - (1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131 (base 6) to base 12.\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*b + 12, b - 4*f - 16 = 8. What is the highest common divisor of b and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/48*42 + 948. What is the greatest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -6. Find the common denominator of -139\/6 and ((-2)\/(-3))\/(k\/273).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24390 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 5*v, 4*y + 0*v + 4*v - 4 = 0. Suppose 3 = o - y. Solve 13 = -5*n + o*m, m = -5*n - 3*m - 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300159*j**2 - 160*j + 567 wrt j.\nAnswer: -600318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312908679?\nAnswer: 3, 41, 847991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-3\/4)\/k)\/k)\/(k*k**(-7))*k**(1\/11)*k**(2\/9) assuming k is positive.\nAnswer: k**(1807\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -935, 2, 3 in ascending order.\nAnswer: -935, 2, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60417008 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (22 + (3 - 18) - 22 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = -3. Is t greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)\/(-1*sqrt(1008) - sqrt(1008)) + (sqrt(26)\/(3*(sqrt(2) - (sqrt(4)\/sqrt(2) + sqrt(2)))) + -2)**2)*2.\nAnswer: 17*sqrt(13)\/6 + 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*z + 240 = 0, -j - 3*z - 2*z = -18. Suppose -39*w = -j*w + 20. Solve -9 = w*a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s. Let y(z) = -z**2 + 4*z + 4*z + 1 + s*z. Is y(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -17. Let x = -14.2 - -3.4. Let w = x - q. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 1, -1, 3 in decreasing order.\nAnswer: 3, 1, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -65.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 43. Let q(s) = 2*s**2 + 3*s + 19. What are the prime factors of q(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f = -203 + 588 + 605 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 - 3 = 0. Let w be (7 - 6)\/((-6)\/10). Let h be ((-5)\/135)\/(1\/(-2)). Which is the closest to h? (a) -5 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a58c66 (base 15) to base 10.\nAnswer: 7876671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300))*2)**2.\nAnswer: 160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, 2, 79 in ascending order.\nAnswer: -2, -1, 2, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/56376 and 157\/3672?\nAnswer: 958392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 3*b + 2. Let c be n(7). Suppose -c = -5*y + t, -t - 59 = -2*y + y. Let p = -29 + y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:40 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7743)\/((1\/(-10))\/((-728)\/(-1365)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m**3 + m**2 + m + 1. Determine c(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -4.07 (b) 3 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5825*j - 5818*j = -11710*j + 2412 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -490.39763 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579*p + 83*p - 85175 = -106*p - 1639*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*n - 94, 8*x = 3*x + 4*n + 112. Let b = x + -15. Suppose b*d = 29 + 306. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g + 4. Let v(l) = -3416*l - 3425*l + l**2 + 6836*l + 7 + 0*l**2. Determine 7*f(a) - 4*v(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8144*s = 13097*s + 168402 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -77, -3\/7, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2588274 and 8736.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20c (base 14) to base 13.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*j = -8*j + 29, -40 = 5*i - 5*j. Let f be 2289\/(-4)*44\/i. Suppose 4*s + 905 = f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -0.3 (c) 20 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18028\/5 or 3606?\nAnswer: 3606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -3786209.11\nAnswer: 3786210.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 5}. What is prob of sequence ff?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 12*v - 12. Suppose -2*q - q = -27. Let k be p(q). Solve -8*y + k = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582278740 to the power of 1\/2, to the nearest integer?\nAnswer: 24130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -87*n**2 + 350*n - 3. Let z be k(4). Let d = 19 + -13. Put 0, z, d, 2 in decreasing order.\nAnswer: d, z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 95, 77, 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 12 = -2*s, -2*g = -2*s + 16 - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1215 (base 6) to base 8.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/162 - (-14)\/3. Let p(f) = f**2 + 2*f - 5. Let b(t) = 2*t**2 + t - 5. Let v(n) = -2*b(n) + 3*p(n). Calculate v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4896 = -168*t + 109*t + 95*t. Calculate the remainder when t is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30748 - -30756. Let k = -0.04 + 0.34. Which is greater: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j - 7*j + 4*j + (-3*j + 3*j + j)*(3 + 3 - 8).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3018496 = 431*d - 3038322 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x + 27. Determine y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 23031 = 2*t, 5*t - 53*n = -55*n + 57606. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1173, -0.5, 0, 1\/5, 5, 26?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*b - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 107*b + 2067. Determine v(-20).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.626858384 plus -1?\nAnswer: -12.626858384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/45)\/((-36)\/(-15) + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1498, -2968, -4448, -5944, -7462, -9008, -10588?\n\"Answer: -q**3 + q**2 - 1466*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + t**2 - 148*t - 866. What is the remainder when n(-6) is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38548?\nAnswer: 2, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -49) + -1 + -16 + 1 + -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 264 = -184 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkpv when four letters picked without replacement from {v: 8, p: 1, l: 7, k: 4}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7790, 3, -4, -5 in decreasing order.\nAnswer: 3, -4, -5, -7790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 m, and 1 v when four letters picked without replacement from mkkkwvmk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9aa + 42a3?\nAnswer: 51a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(1 - 1 - h) + (-1 + 1 + h)*(2 - 3 + 0) + 0*h - 7*h + 2*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*w - 3. Suppose -3*x = s - 6, 0*x + 4*s = w*x - 21. Let n(k) = k - 1. Let a be n(x). Solve 2*l - 5*c = 25, -3*c - 5 = -a*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.73 - 27.6?\nAnswer: 30.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/15 - 28*r**4\/5 - 932*r**3\/15 + 4600*r**2\/3 - 20426*r\/5 + 39292\/15 = 0. What is r?\nAnswer: -19, 1, 2, 11, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.989 - 0.011. Let q = x - -22.9. What is the third smallest value in -1, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.2 - -24. Let d = 1 + j. What is the second biggest value in -4, -0.05, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 19*m**2 + m + 5. Let b(d) = 3*d**3 + 18*d**2 + d + 4. What is 6*b(v) - 5*s(v)?\nAnswer: -2*v**3 + 13*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 441 + 111 = 0. Sort 2, 16, s in decreasing order.\nAnswer: 16, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 729*m - 286*m + 1200*m - 32860 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 15. Let w(l) = l**2 - 4*l - 4. Let z be w(4). Sort z, r, 5.\nAnswer: z, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = l + 82, -8*l - 28 + 2 = 2*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266302 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 28. Is (f\/(-24))\/(2\/(-1041)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r. Suppose r = 2*z - 3*z - 24. Let c = z - -67. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2670628 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*v + 4098, -3*b = 2*v - 8*b - 4086. Is 64 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 2837*l**6\/120 - 279*l**4\/2 + 210*l**2 + 8. What is the second derivative of v(s) wrt s?\nAnswer: 17022*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5194369 minutes to milliseconds.\nAnswer: 31166.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 97. Let g be t - ((-20)\/(-25))\/(6\/15). Suppose -37 = -3*i + 2*n, -50 + 3 = -3*i + g*n. What is the least common multiple of 11 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 + 0.2. Suppose 8*w + 1083 = -141. Let l = 768\/5 + w. What is the second biggest value in -0.4, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5410 (base 7) to base 3\nAnswer: -2122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9958729 - -9918768.718. Let v = -39959.97199979 - h. Let t = v + -0.31. Round t to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 206 = 3*a - 2*w, -5*w + 5 = 0. Suppose -4*l + 136 = -a. Suppose 5*n = 2*f + 66, 5*f - 12 = -2*n + f. What is the greatest common factor of n and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2915 = -4*l + 5*h, -l - 4*h = -5*l + 2920. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*z - 35 + 6, 14 = -2*z + 2*g. Suppose 35 = 5*c - 45. What is the remainder when (z\/(-20))\/(1\/124) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -5, -1, -3, -17?\n\"Answer: -g**3 + 6*g**2 - 7*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 37. Let o be (y - 17) + (-16)\/(-2). Suppose o*c = -2*k + 28, 6*k - 3*c - 100 = 2*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207132066*a**2*j**2 - j**2 - 224*j - 51320 wrt a.\nAnswer: -414264132*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-69))\/(-4*180\/60*(-1)\/(-4)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 2*s)*(-3*s + 0*s + 2*s) + 4*s**2 + 0*s**2 - 2*s**2 + 0*s**2 + 6*s**2 - 5*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/(1\/2). Let q(d) = 154*d - 1. Let y be q(-1). Does 15 divide y\/(-10) + 1\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 6, -4*u + 2*f + 14 = 0. Is (85 - 0) + u + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220430 is divided by 6247.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:04 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/p)**(-9)*p**(-1\/8)\/p*p*(p\/(p*p*p*p\/((p\/p**3)\/p)))\/p assuming p is positive.\nAnswer: p**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -74. Let w = i + -25.14. Let u = w + -0.86. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -102. Let q(x) = -8*x + 5. Let k(m) = -3*m + 2. Let y(r) = 11*k(r) - 4*q(r). Let f(w) = w. What is g*f(t) - y(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 279698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Solve -3*q - 8 = -f*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 5*o**3 + 7*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/1290*-4*(-2)\/(-2)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -k + 22, 2*g = -3*k + 33 + 28. What is the remainder when 69 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 25 = 4*g, 0*g + t = 4*g - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 72. Let m = n - -20. Suppose -m*o = -7*o - 3*j - 28, 5*o + 5*j + 20 = 0. Let h(y) = 2*y + 3. Give h(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + ((-5)\/(-2) - -4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fttftdtdtftttttdtt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/(16\/80). Suppose -5*r = 5*k + c, -4*r + 4*k + k + 23 = 0. Let o be (-1)\/(-1*1\/5). Solve o*d = r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -379? (a) -2 (b) 3\/5 (c) 2 (d) -2.81 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -5*g**3\/3 + 8962*g. Let v(l) = 81*l. Calculate v(k(f)).\nAnswer: -810*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -38*v**2 + 14*v - 56. Let u(y) = -33*y**2 + 12*y - 48. Let d(z) = 6*j(z) - 7*u(z). Let h(n) = 28*n**2 + 2*n. Calculate h(d(a)).\nAnswer: 252*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:16 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 5*l + 60 = 0, -4*j + 5*l = 50. Let r(h) = h + 11. Let v be r(j). Solve 4*b + 5 = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49563*d**5 - 9*d**3 - 421347*d**2.\nAnswer: 2973780*d**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -52. Let z = 0.3 + -0.2. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and 85\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -0.3, -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-1)\/(3\/2)). Let l(p) = -p**3 + 5*p**2 - 2*p - 7. Let t be l(4). Suppose 2*x + 0*b - b = -t, -z = -3*b. Solve x = -4*h + 5*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 - 220. Calculate the least common multiple of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:40 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1419 and -336.99.\nAnswer: -478188.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127299 equal to 127295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41920 + 167689\/4. Solve -3\/8*j**2 + 21\/8*j - p = 0 for j.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3103 (base 8) to base 10\nAnswer: -1603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363326.\nAnswer: 2, 389, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, n: 1, x: 3, z: 1, u: 6}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10334104 - 3?\nAnswer: 10334101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001601126189 rounded to 7 dps?\nAnswer: 0.0016011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 18*t**2 + 17*t - 9. Let j be o(-10). Suppose -j*p = -24*p + 117. Calculate the remainder when p is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(24) - (sqrt(24)*3 - sqrt(24)))\/sqrt(12))**2 + sqrt(2) + sqrt(16)\/sqrt(128) - ((4 + -1*sqrt(2) - (1*sqrt(2) + -4)) + -2)**2).\nAnswer: -44 + 101*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313 + 631 - 386*l - 320 + 6111*l.\nAnswer: 5725*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x - 70. Let b be w(-11). Let a = 262 + b. Calculate the remainder when 185 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5164 - 5043. What is the highest common factor of x and 1804?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4276554.\nAnswer: 2, 3, 17, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209 + -214. Let r(z) = 15*z + 73. Give r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-60) - 1254\/45. Let i be 14\/35 - h\/80. Suppose -2*o - 3 = -4*a + 1, 0 = -2*o - 5*a + 5. Is i at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 + 4221 = 20*l. Suppose 26*v = 22*v + 100. Suppose -4*f + 4 + 73 = 3*k, -3*k = -2*f + v. What is the remainder when l is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**4\/12 + 2*h**3\/3 + 3*h**2\/2 - 6*h. Let u = 14 - 10. Let l be j(u). Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by -7162.\nAnswer: -319\/7162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5*(-6)\/(-15))\/(3\/138). Suppose j = -4*o + 13, 5 + 4 = 3*o. Is 40\/j - r\/(-23) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from kfaftfpkftkttt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) + (-201)\/335.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25849 is divided by 3480.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1781 = -2*h + 3*d, 2*h - 3565 = -3*d. Is h a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**3 + 0*m**3 + m + m**3 + (m**3 + m**3 + m**3)*(1 - 4 - 2) - 19*m**3 + 11*m**3 - 29*m**3 as f*m**3 + i*m + h*m**2 + c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times 13533933\nAnswer: 3383483.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59147 is divided by 59144.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-7 + -13 - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479938370.\nAnswer: 2, 5, 83, 223, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1089*x + 2612*x - 659*x)*(x + 1 - 1)*(3 + 1 - 3).\nAnswer: 3042*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -768329, -768331, -768333, -768335, -768337?\n\"Answer: -2*a - 768327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -52*o + 2*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9555\/4 + 2410. What is the common denominator of t and (-4)\/10*(-2 + 14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 943400.4t?\nAnswer: 943400400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -117666523 divided by 4021\nAnswer: -29263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 309667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333426 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose u*f + y + 8 = 9*f, -4*f - y = -10. Suppose -2*j + 6*j + b - 20 = 0, -f*b + 28 = 5*j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:46 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j + 5*j = 0. Suppose -3*v + 3*h = -j*h - 36, -2*v + 3*h = -25. Suppose -v*b + 11 = -11. Solve 6*a - 4 = b*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 34881116?\nAnswer: 139524464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 10*k. Let v(o) = -67*o - 9. Calculate v(c(q)).\nAnswer: -335*q**2 + 670*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 106189, 106190, 106191, 106192?\n\"Answer: j + 106188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136158, -272315, -408472, -544629?\n\"Answer: -136157*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*t = -6, 5*a - 18 = -3*t + 5*t. Let u(g) = -a + g + 2 + 4. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(((-40)\/6)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 3188*w**2 - w**3 - w - 1 + 3189*w**2. Let p(f) = 5*f**3 - 12*f**2 + 3. Calculate -3*a(r) - p(r).\nAnswer: -2*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -74.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1032 and 0.8.\nAnswer: 825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p + 9. Let w(a) = 3*a - 3. Let m(i) = 2*n(i) + 7*w(i). Let z(f) = -f**3 - f**2 - 3*f - 5. Let k be z(-2). Give m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12161.\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) 19 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010889416 to 6 dps.\nAnswer: 0.010889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 7*w**2 + 7*w + 12. Let p be o(-6). Let n be ((-44)\/(-6))\/(p\/9). Solve 21*j + 6*j**3 - 4*j**2 - n*j**2 - 3*j**3 - 9 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - f. Let d be k(2). Let p = -4 - d. Solve -4*o = p - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 91*c + 11649957 - 11649957.\nAnswer: -79*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2 - 14*r + 1. Let o(k) = 7*k**2 - 9*k + 1. Let y(v) = -5*l(v) + 8*o(v). Let x be ((-13)\/(-5))\/(1\/5). Let b = x - 10. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -630822.763?\nAnswer: 630822.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7724 = -9*i + 13*i. Let m = i + -11639\/6. What is the common denominator of (2061\/20)\/9 + -7 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 134293 and 134293 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -bf (base 16) to base 3\nAnswer: -21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 2*q**2 - 30*q - 9. What are the prime factors of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - m, 5*j - 16 = m. Let o be j\/(-6) - (-17)\/3. Suppose -4*z - 4*d + 0 = -160, -3*z = -o*d - 128. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -206?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s + 3. Let o be c(7). Suppose -4*z + o*z = 0. Factor -2*q**3 + 0*q**3 - 4*q**2 - 2*q + z*q.\nAnswer: -2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -570*i**3 + 2*i**2 + i. What are the prime factors of z(-1)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-4))\/((-25)\/(56100\/(-357))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 51365.61 decades?\nAnswer: 513.6561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -587 - -1369. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 73, -38\/37, -1\/9, -3?\nAnswer: -38\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmzzmhmzzhmmmmzmm. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:22 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 616 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 6, -15 = -r - 5*a. Let w(q) = -q**3 - q + 22. What is the least common multiple of w(r) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3\/4300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11039*y**5 - 17737*y + 1?\nAnswer: -220780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Suppose c - 1 = g*i - 2, -43 = -5*c + 3*i. What is the units digit of c - (0 + 1) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -375, -3\/4, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1862019 or -1862018?\nAnswer: -1862018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 1\/179, -3\/7, 5\/3, -81?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -84.48084728.\nAnswer: -87.48084728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let t be (o\/(-4))\/(2\/(-8)). What is the units digit of -2 + t - -3*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2221*j + 2227*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5655 and 10875.\nAnswer: 141375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4499, -5, 17657 in ascending order.\nAnswer: -5, 4499, 17657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382 (base 14) to base 6.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2092 and 212062902?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/20 + -1)*-5. Let p = 15 + d. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-8)*(-38)\/4*-4)\/(11210\/(-35872))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2. Let m(b) = 139*b - 87*b - 52*b - 2062*b**2. Give y(m(i)).\nAnswer: 12755532*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, 1 n, and 1 w when four letters picked without replacement from {o: 2, w: 3, f: 2, n: 3, q: 1, p: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85206971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -825 + 875. What is the remainder when 92 is divided by a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + k**3 + 3*k)*(3 + 3 + 6) + (-4*k**2 + 2*k**2 + 6*k**2)*(-3*k + 4*k + k) + 88 - 88 - 7*k**3 to m*k**2 + y + o*k + l*k**3 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:08 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255602 and 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*s**3 + 236*s**3 + 232*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/10 - p**4\/4 - p**3\/6 + 15*p**2. Let g(v) be the first derivative of h(v). Differentiate g(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 383507020 to the power of 1\/2, to the nearest integer?\nAnswer: 19583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*p - 88*p = 24. Suppose 2*z + p*z - 15 = 0. Solve -z*f - 25 = -16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -6997 + 56\/(-8). What are the prime factors of (-246)\/(-287) - k\/7?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -299*d**4\/24 - 112*d**3\/3 - 59*d**2. Find the first derivative of j(k) wrt k.\nAnswer: -299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 5. Let z(j) = 11*j - 9. Give 5*l(i) + 3*z(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80682*d - 29*d**2 - 5 + 294 + 80680*d wrt d.\nAnswer: -58*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1042, -1043, -1044, -1045?\n\"Answer: -h - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 3*b. Let p be (-18)\/(-4)*b\/12. Let r be (2\/(-1))\/((-112)\/280). Solve r = -4*d - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*f - n, 5*f - f = -4*n + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88788 and 8.\nAnswer: 177576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**3\/6 - 3*x - 4. Let u(c) = -2*c**2 + 2 - 2. Give f(u(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-940)\/(-10) + (-8)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u + 3. Suppose 0*j - 4*j = -40. Let q(f) = -f**3 + 8*f**2 + 20*f + 5. Let y be q(j). List the prime factors of w(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 7*j + 5. Let l be x(-3). Solve 0 = 4*g + p - 12, p + 1 = g - l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1829138, 3658279, 5487420, 7316561, 9145702?\nAnswer: 10974843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25152 divided by -12.\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/(294\/63)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -59, 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 21*n**2 + 19*n + 369. Let l be i(-21). Put 2, -2, l, -5 in descending order.\nAnswer: 2, -2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5 + 2256*i**4 - 152496*i**3 + 417224*i**2 + 1300980*i + 729000 = 0. Calculate i.\nAnswer: -1, 5, 75, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 157*t - 31. Let z(f) = -75*f + 15. Give 2*k(s) + 5*z(s).\nAnswer: -61*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -40*n + 223 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjj. What is prob of picking 1 y and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257673826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123598251\/2603 + -47483. Let c = r - -80687\/7809. What is the common denominator of 15\/2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 33. Suppose 0 = -6*v + 96 - 6. Let z be o(v). Find the third derivative of 7*n**2 + 2*n**5 + z*n**5 + 6*n**5 wrt n.\nAnswer: 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0720144ml?\nAnswer: 0.0000720144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-99)\/66.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1176*v - 4711. Calculate c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 47*o + 632. What is the hundreds digit of g(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3503429002 to the nearest integer?\nAnswer: 59190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.3 - 129.2. What is the third biggest value in -2, 0.16, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3556919 - 5?\nAnswer: -3556923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 4. Suppose 2*j + 15 - 1 = 3*s, -5*s = -i*j - 30. Let b = s - -22. Calculate the greatest common divisor of b and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242489 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, c: 7}. What is prob of sequence uccu?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:17 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) + (sqrt(1375) - sqrt(1375)*3))*5*-6)\/((sqrt(99) + -2*(sqrt(99) + 1*sqrt(99)) + sqrt(99))*3).\nAnswer: -25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -2, 4 in decreasing order.\nAnswer: 6, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-15) + (-1 - -3). Let g = -2.4 + 2. Let v = -0.9 - g. Which is the third smallest value? (a) v (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**3)\/(q\/q**(2\/17)))\/(q*q*q**1)**(-4\/5))\/((q**(3\/4)\/q**5)\/(q**(-1\/4)*q*q)**(-45)) assuming q is positive.\nAnswer: q**(-12747\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1264848 + -24?\nAnswer: -1264873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3905 = 4*p - 5*o, 395*o = 393*o + 6. What is the highest common factor of 1540 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22124.15 minutes in nanoseconds?\nAnswer: 1327449000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 44, 34, 12, -28?\n\"Answer: -g**3 + 3*g**2 - 6*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17232950243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 171325\/1324 and 128 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/16)\/((-20)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979 divided by -1?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 276*q - 25 + q**2 + 7 + 6 + 9 as v*q**2 + r + h*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1376 - -54.9624. Let p = -0.0589 - -55.0589. Let o = s - p. What is the nearest to o in -3, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 2898.\nAnswer: 20286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -299282531?\nAnswer: 299282531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3474470737 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (6 + -14 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9703 divided by -20295\nAnswer: -9703\/20295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 + 6*m - 8. Let i(a) = a - 5. Let u be i(9). Suppose -o + 15 = 3*z, 3 = -2*o + z + u*z. Calculate p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -234*z + 449. List the prime factors of n(-8).\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/783 and -1\/6.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 22 - (-14 + 20 - 22).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-187 - 4)\/(9\/5 - 2). Suppose 34*o = 39*o - t. List the prime factors of o.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -32.3. Let s = -1.699972 - m. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q + 99. Let y be x(8). Let a(n) = n**3 - 3*n**2 + n + 3. Let r be a(y). Put r, 5, -4, 2 in descending order.\nAnswer: r, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92321048 a multiple of 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42395, -42396, -42397, -42398?\n\"Answer: -x - 42394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623210 is divided by 2490?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3\/3 - 2129465*y**2\/3 + 17035912*y\/3 - 34071952\/3 = 0?\nAnswer: -2129497\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458762 and 206.\nAnswer: 458762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*-3.216.\nAnswer: -279.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 4) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516948 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-380) + (-264)\/19 - -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*m - 270, -16*m + 19*m - 270 = -2*d. Calculate the highest common divisor of d and 4320.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67352?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 = -2*m, 0*m - 5*m = s - 63. Let g be m\/39 + (-19)\/66. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35366 + 235336?\nAnswer: 166640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*w + 209 + 268, 2*w - 5*d - 206 = 0. Let f = -91 + w. What is the greatest common divisor of 13 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tte. Give prob of sequence tet.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 465743 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 - 4*r - 8. Let d be t(4). What is the highest common divisor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -39*s**2. Let n(b) be the second derivative of -b**4\/12 - 544*b. Determine n(j(c)).\nAnswer: -1521*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1588 and -3.\nAnswer: -4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s, -3*x + s - 4*s = -15. Solve 5*t - x = 3*u + 7, 2*u + 4 = 2*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.21 - -0.31. Round y to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 20 = 0, w - 3*o - 1 + 13 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 110*v**4\/9 - 895*v**3\/18 + 5*v**2 + 2*v + 184. Factor m(i).\nAnswer: 5*(i - 2)*(88*i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntnnntttnnnttnn. What is prob of sequence tnt?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfjffjjxfxx. Give prob of sequence xjfj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 30*t - 222. Let r be p(36). Let x(m) = m**3 + 7*m**2 + 7*m + 6. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -28, 9, 66, 149?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(1\/3)))))**(9\/8)\/(q**(-2\/25)\/(q*q**(1\/3)*q)))\/((q**(2\/11)*q**(-2))\/(((q*q**(-1\/5)*q*q)\/q)\/q**(2\/3))) assuming q is positive.\nAnswer: q**(32933\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -712.303 - -713. Let y = -0.685 + h. Which is the biggest value? (a) y (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*o - 12571 = 0, 5*o = -4*y + 19821 - 3083. List the prime factors of y.\nAnswer: 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*r - 51*r + 234 - 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 51*v + 180.\nAnswer: 3*(v + 5)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/2)\/b*b*b*b*b*b**(1\/14)*b*(b*b*b**(4\/5))\/b*b**(-2\/7) assuming b is positive.\nAnswer: b**(248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssc when three letters picked without replacement from {s: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7 and (-1 - (-264)\/(-108))\/(27\/6).\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 5, k: 3, a: 2, f: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-23 - (-60 + 25)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777503243.\nAnswer: 11, 70682113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11975\/6 - -5992\/3. Which is the closest to 1? (a) 4.23 (b) 0.9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 - 5*l + 2. Let k be v(-5). Suppose -h = k - 5. Let x(o) = 3*o + 2*o**2 + o**2 - 4*o**2 + h. Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + i**5 - 2*i**2 + (-2*i**4 + 12*i**4 - 3*i**4)*(0*i - 4*i + 3*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x. Let w(r) = -19*r. What is 5*i(j) + 7*w(j)?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x + 1. Suppose 0 = -5*g + 4*z + 3, 2*g = 2*z + 3*z + 8. Let t(r) = -5*r**2 - 5 - 3*r**2 + 0*r**2 + 6*r. Determine g*t(q) - 6*u(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*a - 183*a = 184*a - 16 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -51544?\nAnswer: 51554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/53513 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*i - 13991 = 252*i - 5081. Solve -i*u = -272*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 717*v**4 - 6*v**3 - 2*v**2 - 65795 wrt v?\nAnswer: 2868*v**3 - 18*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/3 + 2*p**2 - p. Let d = -7 + 10. Let o(g) be the first derivative of -g**2\/2 - 3*g + 1. Calculate d*n(j) + 4*o(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -2\/101 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, -0.18, -3, -1\/84, -5.\nAnswer: -5, -3, -0.18, -0.1, -1\/84, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f - 2*f**3 + 5 + 5*f**2 - 7*f. Let c be n(4). What is the units digit of c\/5 + (-68)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**4 - 18*q**3 - 4*q + 842 - 842 - 14*q**2 - 2*q**5.\nAnswer: -2*q*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 753317.\nAnswer: 5\/753317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -v - 2, 0 = -2*k - 2*v - 3*v - 13. Suppose -n - 5 = -k. Calculate the common denominator of 49\/12 and (81\/30)\/(n\/(-6)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63920 and 14130128?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-10)\/(-105) - 0). Let q = -13 + 11. Let p(z) = -z**2 + 7*z + 2. Let f be p(7). What is the nearest to -0.2 in q, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/u**(-4)*u*u**(2\/7)*(u**(2\/23)*u*u)\/u)\/(u**(1\/4)\/(u**(1\/3)\/u)*u**(-3)*((u\/u**6)\/u)\/u) assuming u is positive.\nAnswer: u**(26963\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -96. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93.4 - -14.6. Let w = z - 98. Which is the third smallest value? (a) 1\/9 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*u - 522 - 2156 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494333699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.780084069 + 0.3?\nAnswer: 12.080084069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -15*2193\/1955?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2909*i + 10*i**3 - 2909*i.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -489.2373 + -2.7627. What is the biggest value in x, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 0 - 2 + 4*h)*(35302*h**2 + 36 - 36905*h**2 - h - 35) in the form m*h**3 + k + s*h**2 + q*h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9717740*r = 9717737*r + 2*u - 12, -3*r - 5*u = -72 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/14 - 3\/7. Do -10 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.721 litres in millilitres?\nAnswer: 794721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (838*z**2 - 836*z + 836*z)*(-2*z**3 + 2*z**3 - z**3).\nAnswer: -838*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -1 + 2\/(5328\/(-12939)). Let y = -7\/296 - m. Calculate the common denominator of y and 9\/6*91\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2351, -1, 7, -13, -5 in descending order.\nAnswer: 2351, 7, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 264240940 to the nearest one hundred thousand.\nAnswer: 264200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 + 426*p - 317. Calculate x(-54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -292875*b**5 + 7321865*b**4 - 41002250*b**3 + 76146100*b**2 - 42171400*b - 1440 = 0.\nAnswer: -2\/58575, 1, 2, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 8. Suppose m*z - 17 = -3*f, 9 + 11 = -5*z + 5*f. Let o = 0.0254 + -1.0254. Which is the third smallest value? (a) z (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*r*v**2 + k**2*v + k**2 + 3*k*r*v**2 + 22*r*v - v wrt v.\nAnswer: 4*k**2*r + 6*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*a**2*l**2 + 1741*a**2*l + 338*a*l + 21289*l**2 - 207*l + 1 wrt a?\nAnswer: -102*a*l**2 + 3482*a*l + 338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1620) + sqrt(45) + (sqrt(80) - (-5*sqrt(80)*6 + sqrt(80))).\nAnswer: -1 + 141*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -10. Let n be (-156)\/r - (-5)\/25. Let x(l) = 33*l**2 - 95*l - 12. Let a be x(3). Sort a, -5, n in ascending order.\nAnswer: n, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5567855334.\nAnswer: 2, 3, 17, 54586817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 245? (a) 1.9 (b) -0.3 (c) 16\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808404*w**3 - 2*w + 2*w.\nAnswer: -808404*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301012 + 2?\nAnswer: 301020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637) + -4 - sqrt(637)) + sqrt(637) - (2 + (sqrt(13) - sqrt(208)\/sqrt(4)))**2.\nAnswer: -21 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 7. Let h(w) = -2*w - 12. Let p(i) = -7*b(i) - 4*h(i). Let y(n) = 4*n**2 + 38*n - 10. Let o(q) = 10*p(q) - y(q). Solve o(m) = 0 for m.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785151631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 60 = 5*v. Let f(l) = -2*l**2 + 62*l + 12. Let t be f(31). Calculate the highest common factor of v and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvwwrwww. Give prob of picking 1 w and 1 r.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/6*(117\/6)\/(-13). Let m(i) = -2*i**2 + 3*i - 5. Let g(t) = t**2 - t + 2. Give b*g(r) - 3*m(r).\nAnswer: -2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -16)*3*(-24)\/(-54). Which is greater: 22 or d?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 10. Let g be m(-7). Let w = g + -4. Which is greater: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 - p - 1. Let s(v) be the first derivative of -7*v**4\/4 + 4*v**3\/3 - 2*v**2 - v + 79. Calculate -4*a(n) + s(n).\nAnswer: -3*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -21. Let k be (-21762)\/(-8)*5\/f. Let t = k - -902. Find the common denominator of t and -87\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 5*x**2 + 3*x - 5. Let c be 9\/2 + 3\/(-6). What are the prime factors of k(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.62144 centuries in millennia?\nAnswer: 8.262144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*i + 20, -30 = 7*i - 3*i + 5*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**33*(k**(-2\/7))**(-4\/15)*((k*k**7\/k)\/k**7)\/(k**(2\/3)\/k**(-3)) assuming k is positive.\nAnswer: k**(1933\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19580096 divided by 19738\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -822.\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.027381 centimeters in micrometers?\nAnswer: 20273.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 670, 670, 668, 664, 658, 650, 640?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-6\/13)*x)*x*((x*x**(1\/3))\/x)\/x*(x**3)**(-7\/9) assuming x is positive.\nAnswer: x**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 5. Let o be 546\/30 + (-2)\/z. Calculate the highest common factor of o and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i - 15. Does 21 divide a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1a58a (base 11) to base 16\nAnswer: 6fee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 69*p**2 - 83*p - 936. Let b be a(-68). What is the highest common factor of 1332 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 2\/11, -1\/7, 2\/7, -304\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-9) + 55\/495?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3234?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 121*h - 4770 = -141*h + 66*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 713 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 2. Suppose -w + v*w + 2 = 0. What are the prime factors of 1*w\/(-4)*82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 - 2*d + 6*d**5 - 4*d**5 - 2*d + 5*d**5 + 2*d + (-d**3 + 5*d**3 - 2*d**3)*(-4*d**2 + 5*d**2 - 3*d**2).\nAnswer: 3*d**5 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - u + 8, -137*i + 133*i + 12 = 4*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-308)\/12)\/11*(-11)\/(-22))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*-2*(-7 + 13). Suppose 0 = -4*a + l*a + 2*a. Solve -2*w - w + 15 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147*((-4)\/(-12) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*y = 135*y + 60 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Let b(y) = -4*y**3 + 6*y**2 + 8*y - 2. Let o be b(-4). Is u\/(-14) + o\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.8 + 41. Let v = -16 - f. What is v rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 7*b**2. Suppose -9*h - 201 = -75. Let w(s) = -s**3 - 2*s**2. Determine h*w(c) + 4*z(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11166478, 11166513, 11166548, 11166583, 11166618, 11166653?\nAnswer: 11166688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1456\/160)\/(-7) + (-1)\/5)*1104\/36.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -24 + 10 + 12 + 4775001*m**2 + m. Let l be x(-2). What is l rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 15*j + 5*d = 57, -13 = -j - d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*y + 27*y + 23*y + 22*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 10465?\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -253*3\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212623067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.6 - 64.7. Let g = 5 + -5.06. What is the nearest to l in 5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriririiriirfinri. Give prob of picking 1 r, 2 i, and 1 f.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -9.\nAnswer: -248\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**3 + 528*n**2 + n - 64. Calculate w(48).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1888940 and 113\/1716.\nAnswer: 810355260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7788 and 386265?\nAnswer: 91158540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Suppose 2*k + k = -21. Let x be a(k). Factor 2\/11*w**4 + 6\/11*w**x + 2\/11*w + 0 + 6\/11*w**3.\nAnswer: 2*w*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24875.31 and 85.\nAnswer: -24790.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -m + 681 = -f*d - 740, -4*m = 5*d + 1750. Let x = d + 565. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615971, 1231942, 1847913, 2463884, 3079855, 3695826?\nAnswer: 4311797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - (1 - -3)) + (187 - 208)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -27*w - 159. Let z be r(-6). Suppose 0 = -5*i + 4*i + p + 158, 514 = z*i + 5*p. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(121) + 1*sqrt(121) + sqrt(121)))\/(sqrt(22)\/(sqrt(242)*2)).\nAnswer: -990*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x. Let z(i) = -7243564*i + 8. Give z(p(v)).\nAnswer: 21730692*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2637376 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*n = -14, l = -2*n - n + 8. Suppose 15 = 6*q - q, 0 = 2*k + q - 19. Let w be (k - 2\/(-1))\/(-14). Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 4*c**2 - c**2 + (-216*c**2 + 382*c**2 - 193*c**2)*(2 - 1 - 3).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 + 3*j + 4. Suppose 5*w = o - 2, o + 1 = 2*o - 4*w. Let g be s(o). Let n = -60 - g. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 - 21\/(-35). Let i(a) be the first derivative of 0*a**4 - 2\/5*a**5 - q - 2*a + 0*a**2 + 0*a**3. Differentiate i(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 625*f**5\/2 + 238124*f**4 + 949101*f**3\/2 + 235979*f**2 - 760*f = 0.\nAnswer: -760, -1, 0, 2\/625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 17867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 t when three letters picked without replacement from {o: 1, t: 3, j: 4, i: 4, b: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 3*s**4 + 2*s**4)*(0*s + s + 0 - 10).\nAnswer: -s**5 + 10*s**4 - 2*s + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 2239600?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:32 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = s - 540, 15 - 141 = -w + 2*s. Calculate the remainder when 49 is divided by (-9)\/(-36) + w\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-77)\/(-28))\/((-2)\/(-168))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 + 4*b - 5. Let n = 9 + -14. Let w = n - -10. Determine c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - -4) - (-82 + 196 + -119).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7675\/492 + -187\/12. Let y = z - 373\/246. What is the second smallest value in -3\/5, y, -1\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -19. Suppose -3*f = -0*f + 4*p - 295, -5*f + 515 = o*p. What is the greatest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*u**3 + 62*u**3 + 15*u**2 + 56*u**3 + 8*u**2 as m + j*u + o*u**3 + b*u**2 and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v**2 - 75*v**2 + 33*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*g + 17*g + 8, -c + 22 = -4*g for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0.3, -9, 0.02, 0.1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750798 is divided by 60.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 5. Let l be y(5). Let x = 2.2 + 0.8. What is the biggest value in -4, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v + 312. Let y be z(22). Solve 2*a = 2*t + 12, -4*a + 7*t = y*t - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 8\/147443 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - (-18 + (-1608)\/(-48)). What is the fourth biggest value in 1, 6, k, 11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2020 - -2020.4. Let n = -46 - -228\/5. Which is greater: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95875 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1522125 + 162?\nAnswer: -1521743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 9) to base 15\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 762230?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244 and 122?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -23*z**2 + 19*z**2 + 5*z**2 + 6*z**2 - 9*z + 8*z**2. Let u(d) = -7*d**2 + 4*d. Suppose -53 = -2*w - 3. Let q = w + -16. Calculate q*u(f) + 4*o(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 9. Let s be n(-5). Suppose 17 = s*l - 18*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316090858?\nAnswer: 2, 67, 2358887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose -w = -x*w - 12. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 5243*l - 20988.\nAnswer: (l - 5247)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.9. Suppose -17 = 4*f + 99. Let w = 144\/5 + f. Which is the third smallest value? (a) w (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, -5, -4, 166, -3.6?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314 - 6*k**2 + 314)*(6*k**3 + 0*k**2 + 7*k**2 - 9*k**2 - 1 + 1 + 2*k**3 - 2*k**3 + 0*k**3 + 0*k**3 + (2 - 6 + 3)*(-k**3 + 0*k**3 + 2*k**3)).\nAnswer: -30*k**5 + 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299) - (1 + sqrt(2299))*2 - 1*(-1*sqrt(2299) - sqrt(2299)) - (3*sqrt(2299)*4 + (sqrt(2299) - (sqrt(2299) + (2 + sqrt(2299))*-5))))**2.\nAnswer: 4224*sqrt(19) + 588686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184f62 (base 16) to base 2.\nAnswer: 110000100111101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.03 (b) 2\/5 (c) 18 (d) -0.4 (e) -0.5 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 20*l**2 - 4*l + 16. Let m(k) = 11*k**3 - 60*k**2 + 13*k - 47. Let s(r) = 3*m(r) + 8*x(r). Does 14 divide s(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -36 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26593, 106323, 239219, 425281, 664509?\nAnswer: 956903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 4*k - 3. Suppose -3 = -6*f + 5*f. Let z be (-9 - f)\/4 - -19. Suppose 2*n = 4*d - z, 5*d - 13 = 2*d + 2*n. Determine c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 52992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26277546 and 21897955.\nAnswer: 131387730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 25 = 3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/384 and -101\/828.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13439603 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89348 is divided by 1261.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3574 + 3546 + w**2 + w - 7126. Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + w)*(2*w**2 + 0*w**2 - 3*w - 1 - w).\nAnswer: 4*w**3 - 8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 36*t - 47*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4446\/(-38) + 179 + -108\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((3*sqrt(450))\/sqrt(10)*3 - (sqrt(180) - (sqrt(180) + 0) - ((sqrt(5) + 3 + sqrt(5))*6 - sqrt(5)))))**2*-6.\nAnswer: -1131600 - 205200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7. Let q(l) = -25. Let n(y) = -q(y) + 4*w(y). Let s(o) = 175*o - 181. Let x(u) = 5*n(u) - s(u). Find the first derivative of x(b) wrt b.\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrhbhhbrhrbrbbrrhr. What is prob of picking 3 r?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3)\/((-2)\/8). Let y = f + -1. Calculate the common denominator of 89\/4 and y - (723\/60 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {e: 1, w: 7, m: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 + 1646*x**2 + 266*x - 20716. Determine c(-329).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39400 and -0.432.\nAnswer: 39399.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.6 - 0.293?\nAnswer: -96.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 4.3. Let s = 229.3 - 229. Let j be (-60)\/(-36) - (-4)\/(-2). What is the nearest to j in h, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 61*p**2 + p + 1. Does 17 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 859 - -118. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*m + 1690 + 1739 = 153 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Suppose 4 + g = -3*k. Let t be (-2)\/(-4)*(-4)\/k. Which is the nearest to 0? (a) 3 (b) t (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 678*a + 38 = 677*a, -4*b + a = 22 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -28. Suppose s*c - 4 = 4. Find the second derivative of 7*b + 23*b - 11*b**2 - 17*b**c + 4*b**2 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 less than -4735121687369?\nAnswer: -4735121687368.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -157. Let b = -37 + f. Calculate the common denominator of 113\/10 and b\/63 + 6\/(-21).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 369*h**4\/2 - 1296*h - 42. Find the first derivative of f(x) wrt x.\nAnswer: 2214*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79055 is divided by 722.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-3 + 15 - (3 - -17))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73877010.\nAnswer: 2, 3, 5, 43, 57269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 + 333. Let q = -93 + j. What is the greatest common divisor of q and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 3. Suppose 0 = u - 17 + 10. Let y(n) = -n + 1. Let j be 9\/15 + (-36)\/(-15). What is j*a(g) + u*y(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1267033549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/(-8))\/((-1)\/(-4)). Let c = 18 + -25. Let o = c + y. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 84. Let n(x) = -189*x. Let l(c) = 27*c. Let s(o) = p*n(o) - 27*l(o). Let q(a) = a**2 - 3 + 3. Calculate q(s(i)).\nAnswer: 729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + -6*sqrt(21)*1)\/(-2*sqrt(175) - sqrt(175))*3.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -544, -1941, -4254, -7477, -11604?\n\"Answer: s**3 - 464*s**2 - 12*s - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.9412 decades in centuries?\nAnswer: 26.99412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y. Let s(z) = -2*z + 17. Determine c(s(r)).\nAnswer: 6*r - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363.1 + -363. What is the fourth smallest value in -0.21, m, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 943125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2287*o**3 - 328*o**3 - 40*o**2 + 67*o**2 - 27*o**2.\nAnswer: 1959*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -17, -82, -197, -362, -577?\n\"Answer: -25*u**2 + 60*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 57?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*1*(2 - 0)\/(-14). Let u = 0.02 - 0.02. Which is the biggest value? (a) u (b) 2\/11 (c) o (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000126024308 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4463 rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 33\/9 + 70\/75. What is the fourth smallest value in i, -2\/15, 0.2, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -910 divided by 5?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 2*l**3 - 3*l**3 - 3*l**3 - 2*l**3 + 3*l**3 + (1 - 1 - 2*l)*(0*l**2 + 8*l**2 - 3*l**2) + 2 - 2 + 2*l**3.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 12. Let q be 37\/r + 1\/(-6). Solve a = -0*a + c - q, 3*a + c + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwq when four letters picked without replacement from {k: 1, v: 2, j: 1, w: 4, q: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 987 and 1128?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 + 7*g - 7. Let k be i(5). Let t be k + -2 + (4 - 0). Solve -b - 3 = -t*f, -2*f + 10 = 3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 330*x + 785 - 1112 = 0, 5*i - 22 = -3*x - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 3.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(16\/11)*i*i**(4\/5))\/(i**(1\/49)*i**46) assuming i is positive.\nAnswer: i**(-115254\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/8)\/((-1)\/(-8)). Let x be ((-2)\/(-15))\/((-6)\/u). What is t in x - 4\/3*t + 2\/3*t**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-150)*(-49)\/(-980)*50.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24)\/(((-18)\/(-3))\/(-3)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 - (1 - -1) - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.99999972 - -16. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*q = 475*q + 112 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119952 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 339 - 246. What is the remainder when u is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7827933 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = 200. Suppose -3*b + 3*o = -159, 5*b + 7*o - 229 = 6*o. Let l = b + u. Solve l*f - 5*f = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.94 + -2.06. What is the nearest to -2\/5 in p, 5, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -326*n**3 + 1. Let w(q) = -q + 4. Let v be w(3). Let u be i(v). What is the units digit of u\/(-45) + 2\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2384, 5168, 7952?\n\"Answer: 2784*g - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/24 + 5*d**3\/2 - 7*d**2\/2 - 2. Let g(f) be the second derivative of i(f). Let y be g(13). Solve 0 = -y*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 103. Is (49\/(-42) - 1\/v)*-18 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 + 74*m - 108)*(-2*m**2 + 0*m**2 + 4*m**2)*(1 + 5 - 4) as p*m + b*m**3 + d + t*m**2 and give b.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1786 - -1819. Solve -24 = 39*i - s*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:56 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**6\/40 + z**5\/15 + 2*z**2 + 3. Let n(j) be the second derivative of r(j). Find the third derivative of n(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243896879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -671999 rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/7 - 264*t**2\/7 - 2565*t\/7 - 5238\/7.\nAnswer: 3*(t - 97)*(t + 3)*(t + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let a(d) be the first derivative of d**2\/2 + 3. Calculate w(a(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 385493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 0 (c) 2\/33 (d) -1 (e) 145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/(f**(-1\/8)*f))\/((f**1\/f)\/f)**8*(f**2*f)**27*f**1*f*f\/(f\/(f**(-9)\/f)) assuming f is positive.\nAnswer: f**(697\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149 is divided by 1041?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1303*q + 1193*q + 4395*q - 1528*q + 2090*q)*(0*q**2 + 0*q**2 - 2*q**3).\nAnswer: -14906*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 2*l - 3. Let a(n) be the first derivative of 8*n**3\/3 + n**2 - 3*n - 193. What is 5*a(p) - 6*g(p)?\nAnswer: -2*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13716 divided by 53\nAnswer: -13716\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, w: 2, j: 2, q: 2}. What is prob of sequence qb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 5. Let d be n(-7). Suppose 5*h - 1 - 49 = t, 2*h = d*t + 12. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 42 = 5*q, -f - 2*f + 3*q + 84 = 0. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - -1.7. Which is the nearest to 0? (a) -2\/7 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(5\/6))\/k)\/k**4*(k\/(k**(-4)*k))**(2\/13) assuming k is positive.\nAnswer: k**(-251\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 643330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -507 - -506. Is g at most -2\/2507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t = 183 + 213 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1251788 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(605)*-5 + sqrt(605) - sqrt(605)))**2 - (sqrt(605) - ((sqrt(605) - sqrt(605)*2) + -3))**2*-2.\nAnswer: -1056*sqrt(5) + 140999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(475) + -4 + -1)**2 + 3)*-4.\nAnswer: -2032 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 7*o + 17*u + 68 = 6*o, 3*u + 12 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 2*j**2 - 6*j**2 - 6*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14962\/645 at most as big as 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(329\/47)*6\/(-576)*4?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:00 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 - (1 - -21 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -90, -90, -78, -48, 6, 90?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 149, 355, 675, 1127, 1729?\n\"Answer: 3*j**3 + 30*j**2 - j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**4 - 2\/21*b + 0 + 0*b**2 - 2\/21*b**5 + 4\/21*b**3.\nAnswer: -2*b*(b - 1)**2*(b + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 532\/4365 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -19) + -25 + 25 + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -64 - -14) + -33\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 16. Let b = 7 + 8. Let a be -3*(-20)\/b*2. Calculate g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 8*w - 1. Let p be f(9). Let t be 1\/2 + 20\/p. Suppose 4*k - 4 = 0, -s + t = 3*k - 2*k. Solve s*g = 4*d - 0*d - 6, -3*d = -3*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:09 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9110.11617 - 3.12617. Let r = -9043 + l. What is r rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 58 = -5*g, 42*g - 40*g - 16 = -9*i for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7173975?\nAnswer: 3, 5, 41, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -6 - 0\/(-1)) + 6. Suppose -i + 21 = -11*a. Let r(u) = 16*u**2 + 2*u + 1. What is r(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -0.39297.\nAnswer: 0.00703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99.225 - -477623.225. Let t = x + -477804.121. Let v = 280 + t. Round v to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 6*i**2 - 3*i - 6. Let g be a(-6). What is the highest common divisor of g and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*n = 354*n + 30790 - 21653 + 36367 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196252001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79001.53 centuries in decades?\nAnswer: 790015.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 369*c + 15*c = 2129, -4*c - 24 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178458 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256951\/78 - -6587\/2. Let o = -12677 - -456325\/36. What is the common denominator of k and o?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.451 - -0.8. Let z = k - 0.139. Round z to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 4*c - 3*c**3 + 3*c**3)*(-19*c - 2*c - 10*c).\nAnswer: -31*c**4 - 124*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**3 - f + 3. Suppose 5 + 1 = 3*c. Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.2, -9, 2\/1241, -115, -0.3?\nAnswer: 2\/1241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*c + 26 = -3*c, 0 = 4*n + c - 19. Let d = n + -63. Which is greater: -176\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 28 - 14 = 0. Let q = 2115 - 1155. Let j be q\/140 + (-2)\/z. Calculate the highest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176.7659*-14\nAnswer: -2474.7226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928\/(-12) + -4 + ((440\/(-15))\/(-22) - 5).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19996.93324 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 748\nAnswer: -3\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-150)\/35)\/((-2)\/14). Suppose -c - 54 = -j, 8*c = 4*j + 7*c - 234. What is the greatest common divisor of j and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 296 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f - 270. Let k be y(11). Let c(n) = 14*n**3 + 6*n**2 + 6*n - 1. Let t(v) = 27*v**3 + 11*v**2 + 11*v - 2. Calculate k*t(d) + 11*c(d).\nAnswer: -8*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(1\/3). Let x be -1 - m\/2*2. Suppose -4*j = -x*j - 24. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 2*x**3 - 5*x**3 to the form a + o*x**3 + d*x**2 + b*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 3. Let w(z) = 30*z + 132. Let v be w(-4). Determine g(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-8)*304\/(-190)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 bigger than 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/715*-15*585\/60?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {e: 4, o: 1, k: 7, f: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times -4.9\nAnswer: -1.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451\/36 + 115\/9. Which is the nearest to -3? (a) 5 (b) -3\/5 (c) -2\/3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 14*v**4 + 5032*v + 19*v**4 + 1 - 5032*v to a*v**3 + j*v**2 + h*v**4 + l*v + t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 181292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i - 2*i - 5*i - 1 + 9*i. Is h(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 - (-262)\/(-32) - (-1 - -2) and (-946)\/(-28) - (-4)\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a + 3 - 3 + 65*a as q + k*a and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 3. Let y be (-6)\/48*-8 - 2. Let j(z) = z**2. Calculate y*r(o) + 4*j(o).\nAnswer: 3*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 32*f = -16. Sort f, 5, 222 in descending order.\nAnswer: 222, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.1. Let f = 1.7 + -4.7. Let o = -741 - -3707\/5. Put 4, i, o, f in increasing order.\nAnswer: f, i, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925 = 324*n - 5433 + 1174 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 54\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, 38.\nAnswer: 2, 4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1\/8 (c) -57 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 237, 550, 991, 1560?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 24*v**4 - 36*v**3 + 56*v**2.\nAnswer: 4*v**2*(v - 7)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 2019, 2831, 3645, 4461?\nAnswer: 5279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-3)\/(-2) - 15\/60)*(-5168)\/(-272).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 - 19*o + 11. Let p(r) = -17*r. What is the remainder when s(-9) is divided by p(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 21 + 2*r**3 + 4*r + 2*r**2 - 2*r - 13 to the form f*r**2 + b*r + h + z*r**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715453395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let w be m(1). Let j = w - 0. Let x(h) = j*h + 5*h + h. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 137*p**2 - 63*p - 826. List the prime factors of x(-16).\nAnswer: 2, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 2:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c + 2*c = 3*x - 7*x + 211 - 22, -c + 33 = 2*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 3*c. Let l(x) = x. Let j(z) = -5*l(z) + o(z). Find w, given that j(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 + 400729*c - 15*c**2 - 200362*c - 200367*c.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26*n**2 + 5*n. Let g(j) = -18*j**2. Calculate i(g(k)).\nAnswer: -8424*k**4 - 90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -122, 1\/3, -1, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/60 + 13*t**4\/24 + 2*t**3 - 28*t**2. Let b be j(-12). Let a = 0 + 2. Solve 5*i - a = -s, b = s + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 + 5*p - 14. Let f be t(7). Suppose -5*b = -3*n - f - 12, -2 = 2*b - 5*n. Find h such that 13*h**2 + 39*h**2 - 6*h - 17*h**2 - b*h = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {m: 1, o: 2, z: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - 4*h)*(-3 - 1 + 2) - 10*h - 12*h + 19*h - 3.\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*s - 6, -2*s + 1 = s - 4*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 42. Let z = g + -14. Is z\/(-1) + 7*15 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -189*r + 6102. Determine x(19).\nAnswer: 2511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4056*d**3 + 1612*d**2 + 210*d + 9 = 0.\nAnswer: -1\/6, -3\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3116 - 3103.29. Is 2\/7 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 divided by 399?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 219. Let z be (-6)\/4*j\/6. Is 19 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1\/5, 1\/7, -0.025866.\nAnswer: -1\/5, -0.025866, 1\/8, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946 (base 10) to base 9.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p - 5*g - 1050 = 0, 0 = 3000*g - 3003*g - 6 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116170, -232343, -348516, -464689?\n\"Answer: -116173*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)\/q*q)**34)**(-30)\/(((q\/q**(-2)*q)\/q)**(-4))**(4\/7) assuming q is positive.\nAnswer: q**(-3522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-2*(4 + -3*(sqrt(5) + sqrt(55)\/(-3*sqrt(11)))) + -3))**2.\nAnswer: -352*sqrt(5) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13845 + 16064. Calculate the remainder when l is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**2*x**2 - q**2*x - 164953*q**2 - 2*x**2 + 90*x wrt x?\nAnswer: -6*q**2*x - q**2 - 4*x + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + -35 + 38?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) -4 (c) -1\/4 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1060 + -1060.05. Sort -6, -3, q, 1\/7.\nAnswer: -6, -3, q, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55543735 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 at most as big as 251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 - 616*r**4 + 960*r**3 + 39304*r**2 - 56644*r - 446880 = 0.\nAnswer: -7, -3, 5, 7, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*s**4 + 1\/4*s**2 - 1\/4*s**3 + 1\/4*s + 0.\nAnswer: -s*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075 (base 11) in base 15?\nAnswer: -c2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 4*u**7\/7 + 3*u**4\/2 - 88*u**3\/3 - 123. Find the third derivative of m(o) wrt o.\nAnswer: 480*o**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 90 = -m - 13, 3*m + 93 = -3*s. List the prime factors of (-6)\/s + 59\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 289*m**2 - 2704*m + 6542. What is r(298)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -430085, -860173, -1290267, -1720367, -2150473, -2580585, -3010703?\n\"Answer: -3*d**2 - 430079*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.7. Which is the closest to -0.3? (a) -1\/3 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34601\/10 + 3460. Let w = -74 + 74.4. Which is the closest to -8? (a) -1\/4 (b) l (c) -3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77980 divided by 140.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68130.8 + 68616.457. Let s = 488.457019 - h. Let l = s - 2.8. Round l to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 25, 2*w + 62 = -0*v + 4*v. Suppose v - 124 = -3*g + d, 4*d - 12 = 0. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 75 - 30*c)*(-c - 3 + 3)*(3 + 0 - 2)*(1 - 1 - 1)*(2*c - 2*c - c**3 + (0 + 0 + c)*(0*c - c**2 + 0*c)).\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -1825*t**7\/42 + 470*t**4\/3 - 728*t + 1. What is the third derivative of d(w) wrt w?\nAnswer: -109500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let a(i) = 2*i. Let m(y) = -2*a(y) + 3*w(y). Let v be (162\/24)\/(3\/16). Let s(u) = v + 5*u**2 - 36. What is m(s(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/3 (c) 111 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, m: 4, c: 1, u: 3, p: 1}. Give prob of sequence pmt.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*(-8 + -4). Suppose -u*s + 9 = 1. What is the second derivative of 3*w**s + w**2 + 3*w**2 + w - 4*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 57*h - 108 - 21*h - 17*h as g*h + x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = 0. Let b = -22 - -25. What is the second derivative of -z**3 - b*z + 4*z + p*z wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 + 1452*m**3 - 9*m**2 + m - 10?\nAnswer: -48*m + 8712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -1, -5, -24 in ascending order.\nAnswer: -48, -24, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1593 and 366093.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142 or -218039\/1524?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-132*b - 26*b**4 + 132*b)*(0 + 2 - 5) to the form g*b**3 + c*b**4 + m + d*b + k*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + k. Let g(q) = 13*q**3 - 24*q. Determine -g(x) + 4*w(x).\nAnswer: -5*x**3 + 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 27*a**2 + a - 38*a**2. Let d(z) = 8*z**2. Calculate i(d(j)).\nAnswer: -704*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from aaqaqaaqaaqqqqaaqqq.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3021126123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 42. Let w be g(21). Let v(m) = -m**2 + 4. Determine v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32671.88ml in litres?\nAnswer: 32.67188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 1. Let d(x) = 31*x + 14. Let m(u) = -d(u) + 5*w(u). Let z(y) = 5*y**2 - 2*y + 1. Let b be z(1). Let c(i) = 6*i + 5. Calculate b*m(v) + 7*c(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -80526660.\nAnswer: -1\/20131665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*m + 2 - 110. Let j be (-4)\/(-6)*-3 + 1. Let t = -6 - j. What is the third smallest value in 3, m, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/336 and 95\/2457.\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28541 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9130 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 300\/16 + (-2)\/(-8). Suppose -2*l + 42 = l. Suppose -3*t + 15 = h - l, 4*h - 137 = -5*t. Calculate the greatest common divisor of h and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + 7*w**4\/4 + 60*w**3 + 8519*w**2. Solve q(h) = 0 for h.\nAnswer: -30, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473865 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-2520)\/32)\/21)\/(21\/(-56)). What is the greatest common factor of x and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2756 - -2761. Solve 0 = 3*b + b - l, q*b + l = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281 - 188. Suppose -2*a = -7*a + 15. Suppose -a*k + 2*k = -31. Calculate the highest common divisor of k and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.656424 hours to minutes.\nAnswer: 459.38544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98 + 10\/(1 + -3). Let y = 44 + g. List the prime factors of y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77282369 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 83542982*r\/3 - 27847660.\nAnswer: -2*(r + 1)*(r + 41771490)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.060355 to 2 decimal places.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1111000?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14. Let u(y) = -5. Let x(k) = -11*u(k) + 4*v(k). Let c(w) = -w + 8. Let l(f) = -c(f) - 6*x(f). Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571366 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m - 4. Let g(r) = 2*r**2 - 20*r + 6. Let j be g(10). What is y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n + 4*m, 0*n - 8 = -3*n + 2*m. Let q = 0.2 + -0.1. Let v = -7\/6 - -1\/2. Put v, q, n in decreasing order.\nAnswer: q, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -46*q + 5. Let n(v) = -37*v + 4. Let p(g) = -4*k(g) + 5*n(g). Let j(z) = -5*z + z - 6*z. What is p(j(m))?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (85 - 106 - (-6 + 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k = -3*c + 3873, -2*k - 1929 = c. Suppose h - 9*g + 4*g = -21, -2*h = -3*g + 42. Is 19 a factor of k\/(-10) - h\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/761490 and 73\/190?\nAnswer: 14468310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0.5 (b) -256 (c) 3 (d) -19\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 828145694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36143, -36131, -36119, -36107, -36095, -36083?\nAnswer: -36071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/961 and 7\/11346?\nAnswer: 351726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 + 181*b - 340*b + 160*b + 9 to q*b + v and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -1. Let f = -2\/502389 - 4521425\/19090782. Which is the third biggest value? (a) m (b) 0 (c) 1\/4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) -2 (d) -3 (e) -832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 3*y + 1 + 0*y. Let k be (-2)\/5 + (-56)\/10. What is x(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -0.94. What is the second biggest value in 1\/6, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 - -132. Sort -1, z, -3, 1 in increasing order.\nAnswer: -3, -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-20)*(-13340)\/667?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1683 * 2.3.\nAnswer: 3870.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 - 3*(-4)\/12) + 2. Let g(d) be the third derivative of d**6\/120 + 4*d**5\/15 - 5*d**3\/6 - 44*d**2. What is g(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 223478.\nAnswer: -1\/111739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 5*p**3 + 15*p**2 + 25*p + 10.\nAnswer: -5*(p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-56) + 2\/(-4). Let i(a) = a**2 - 5*a - 7. Let j be i(6). Let y = j + 2. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229009 - 229008. Let d = 2 + 0. What is the closest to q in 0.1, 5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 10. Let h be k(-13). Let b(x) = 17*x + 6. What is the units digit of b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*s + 42, f + 14*s - 43 = 18*s. Solve f = -5*u + 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 4*d + 2*d)*(12*d - 4*d - 2*d)*(-72 + 12 + 33) to the form h*d + u*d**2 + z and give u.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + z**2 - 3*z**3 + 6*z**3 + 20 - 23 in the form m*z**2 + n*z**4 + d*z**3 + v + c*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51156101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 0*o + 15*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 44\/13, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 487 = -3*u, -5*u + 3*z = -1176 + 341. Let d be ((-180)\/50)\/9 + (-393)\/5. Let w = d + u. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + a + 6. Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 8 = 5*u. Factor -3*k - 5*k**2 - 6 + 15*k - 4*k + 3*k**u.\nAnswer: -2*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -218, -92, 36, 166?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - w - 1. Let k be o(5). Suppose 0*u - u = -k. Let a = u + -62. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let n(w) = 25144*w**2. Calculate x(n(p)).\nAnswer: 50288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*x - 23*x**3 - 1 - 2*x**2 + 21*x**3 as k*x**2 + i + t*x + f*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 66697*q\/2 + 3875154.\nAnswer: -(q - 116)*(q + 66813)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 9 + -1 + (-3 - -7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 - 263.2. Let r = 73\/8 + -9. Which is the nearest to f? (a) 2 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3097*m**3*o**5 + 18*m**3*o - 5*m + 2*o wrt o?\nAnswer: -61940*m**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 26*c**6\/5 + 5*c**2\/2 - 164*c. What is the first derivative of w(t) wrt t?\nAnswer: 624*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + 160\/200?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/29))**(4\/15)*(w**9\/w*w*w)**(-4\/11) assuming w is positive.\nAnswer: w**(-17488\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (-1 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 21*o**2 + 16. Let x(a) = -a**2. Calculate x(n(q)).\nAnswer: -1764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -0.4, 0.1, 282 in increasing order.\nAnswer: -94, -0.4, 0.1, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292912992 and 44064.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325) + sqrt(325) + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27196 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -125481*x**2 - x + 62741*x**2 + 62744*x**2. Let t(l) = l - 36. What is t(h(g))?\nAnswer: 4*g**2 - g - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + (-267)\/(-6). Suppose 0 = -2*k - 4*f + 30, -5*k - 3*f = -k - m. Is 8 - k - -8*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-7)\/(-3)) + (-5735)\/(-15). Suppose 0 = 3*b + u - q, 2*b - u = -33 + 282. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3853 + -1800. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let s(q) = -10 - 10*q**c - 8*q + q - 6*q. Let d(j) = -3*j**2 - 4*j - 3. Let n(u) = -14*d(u) + 4*s(u). Factor n(f).\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -214010 and -214010 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42517666571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a factor of 120015430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0375924243 rounded to 6 dps?\nAnswer: 0.037592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*x - c, 5*c + 14 = -4*x + 3*c. Let f(l) = -5 + 15*l + 6*l - l**2 + 7*l - 39*l. Does 23 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2*n - 7*n - 7*n to t + o*n and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867122 is divided by 933541.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4785049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 times 0.06\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 212003122?\nAnswer: -212003000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlddlcdcggcsdl. Give prob of picking 1 s, 1 c, 1 d, and 1 l.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-1)\/(-10)*1)\/(84\/84).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54*-3)\/1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26*k - 140. Let h be m(-6). Suppose -4*l + 58 = -w, 23 = 3*l - 3*w - h. Calculate the remainder when 118 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/594 and 77\/810.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from {r: 1, e: 2, x: 4, z: 2, n: 8, m: 3}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1c0 (base 16) to base 10\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {i: 2, b: 1, y: 2, r: 2, a: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4513*o**2 - 2226*o**2 - 2302*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/3, 7\/4, 4 in descending order.\nAnswer: 4, 7\/4, 3\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -383, 0.5, 6\/407 in descending order.\nAnswer: 0.5, 6\/407, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, d: 3, j: 1, s: 6, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 25*t = 327. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 + 0*f**4 + 0*f**2 + 2*f - 1\/10*f**5 - f**3. Find the second derivative of k(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120034 (base 5) in base 6?\nAnswer: 32202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 12. Let z = 182 + -118.2. Let l = z - 64. Which is the fourth biggest value? (a) -0.4 (b) v (c) -4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29519298 divided by 6\nAnswer: 4919883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + sqrt(170) + 6*(sqrt(170) - 1*sqrt(170))) - (sqrt(170)*2 + sqrt(170))*-1)\/(sqrt(80)\/(-3*sqrt(8)) + 3*sqrt(40)).\nAnswer: 6*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -458, -1006, -1778, -2774, -3994?\nAnswer: -5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z**2 + 35*z - 9*z**2 + 2*z**2 - 12*z**2 wrt z?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12750*y - 12760*y + 38264*y - 12749*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 0 + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 45*z + 36. Let s be n(-4). Let r = -39 - s. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exeqseqqexeqeqesexq. What is prob of sequence sex?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60667183?\nAnswer: 60667183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 883*s**2*x**3 - 60*s**2 + 4*s*x**3 - s*x - x**3 + 2*x - 4 wrt x.\nAnswer: 5298*s**2*x + 24*s*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7539 divided by -1.\nAnswer: -7539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -42) + -23 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q + 0*q + 5*q + (2 - 1 + 1)*(-3*q + 0*q + 2*q + (0*q + 3*q - q)*(1 + 2 - 1) + 1 - 1 + 2*q) to h*q + w and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 42. Let y = 16 - -6. Let n = y - v. What is the third smallest value in 2, n, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-196))\/((-7)\/(147\/(-18)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 - (-3 + 3)\/(-2). Let j be 2 - (-24)\/p - 3. Let g = -0.4 - -0.3. Which is the nearest to g? (a) j (b) 1\/6 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 850 and 408?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from ssnnssnnnnns?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g**(2\/13))\/(g**2\/g**4) assuming g is positive.\nAnswer: g**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (4 + 37 - 53).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 594797112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 2235. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 631, 1263, 1895, 2527?\n\"Answer: 632*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 - 14*j**2 + 23567*j + 23917*j - 47482*j.\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 5*p + 11, 9 = 3*p. Let k be (-1 - g)\/(18\/4 - 5). Suppose -4*m - 4*o + 2792 = -1384, -k*m - 5*o + 4171 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q + 25, -5*j = -2*q - 30. What is the third derivative of 5*m**2 + 203*m + 8*m**j - 203*m wrt m?\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 0 - (13 + -17). Solve -g - 4 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 2 v when four letters picked without replacement from eeevmeeevmee.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 3*h**2 + 4*h + 2. Let f be r(-4). Suppose -5*z + 3*v = 0, 2*v - 31 = -f*z - 3*v. Which is the closest to 0? (a) z (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 144. Let l = n - -92. Let c be 2 + (l\/(-4) - -3). Let b(p) = -p**3 - 6*p**2 - 7*p - 4. What is b(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqb when four letters picked without replacement from bqaajaanqqbqb.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 4, -4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 786*a - 9883. What is i(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98.88 + 95. Let t = 0.12 - c. Put t, 5, 2\/11 in increasing order.\nAnswer: 2\/11, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 5. Let a(f) = -2*f + 3. Let j(b) = 7*a(b) - 3*r(b). Let k be j(-14). Let x = -6 - k. Solve x*s + 3*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1271 - -16?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 554291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*r - 5*r - 3*x, -3*r + 33 = 3*x. Suppose -s + 3 = -r. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 13*z**2 + 3*z - 22. Let x be m(-4). Calculate the highest common factor of 385 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374069005.\nAnswer: 5, 47, 1591783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -126238.\nAnswer: -51\/126238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26597 in -0.8, -7, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130272)\/(-97152) - (2\/(19 - -3) + 0\/2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-5)\/9)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 904 = -6*g. What is the remainder when g is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 8*h**2 + 4*h - 10. Let o(q) = 5*q - 3*q + q**3 - 5*q + 9 + 7*q**2 - q. Let d(g) = 4*o(g) + 3*w(g). Give d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 28 = -b, -37859533*b - 8 = -37859528*b + 4*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1288 and 355044284?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*y = -8, y + 2 = o + 2*y. Suppose 0 = n + o*n - 21. Calculate the lowest common multiple of n and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose 4*c = 4*g + 4, -2*c = -g + 6*g + 5. Let z = g + r. Put z, -2, 4 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -84*10\/(-40) - 21. Let n(y) be the second derivative of 3\/2*y**2 + 1\/3*y**3 + c + 12*y. Calculate n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5145\/(-6174)*6\/(-15))\/((-20)\/(-9))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 79*t**3 + 5*t**2 + 12. Let y(b) = -237*b**3 - 15*b**2 - 32. Give -8*f(g) - 3*y(g).\nAnswer: 79*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 270.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 less than -2.870450208?\nAnswer: -2.899450208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211 + -105. Suppose 74 + k = -3*c. What is c rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-1 - (2 + -1)) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 111. Let f be (294\/4)\/((-1)\/2). Calculate the common denominator of 63\/5 and 8 + a - f\/(-112).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - (-3)\/((-30)\/(-22)) and (-6)\/4*26\/21?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -5*o, -4*o = 5*l - 11. Suppose -5*f + 8*p = 3*p - 535, l*p - 442 = -4*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5336\/11, 2\/15, 0.5.\nAnswer: -5336\/11, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 19*d = -128. Let q(k) be the second derivative of -k**4\/6 + k**3 + k**2\/2 + 5*k. Calculate q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 2*h + 36. Let w be d(0). Factor -3*a**3 - w*a**2 + 1747*a - 24*a**2 - 1678*a + 126.\nAnswer: -3*(a - 2)*(a + 1)*(a + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(931) + -6*sqrt(931)*4)**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500476 is divided by 45497.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -254*i - 24. Let o be a(-4). Suppose 3*j - 322 - o = 0. Round j to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x + 2. Let t(h) = -4*h + 2. Let v(b) = 3*b - 2. Let u(f) = 2*t(f) + 3*v(f). Let l be u(6). Is l bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 44*m**2 - 228*m + 3. Let l be c(38). Solve -20 + 5 = -l*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7101\/8 - -888. Which is the nearest to -1? (a) 0.5 (b) 0.7 (c) -1\/4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(2*sqrt(11)*6) + 2 + (-4 + sqrt(405))*-1)**2.\nAnswer: -107*sqrt(5) + 62429\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233808*c**6 + 97*c**2 + 858?\nAnswer: 28056960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -37*j - 78. Calculate h(11).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-667071))\/(3\/(-18) + (-7)\/21). Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 * -2.14\nAnswer: 16.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -1\/4*k**4 + 0*k - k**2 - 1\/3*k**3 + 0. Let q be w(-2). Calculate the highest common divisor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 132 = 0. Let g = c + 29. Let a(w) = -w**2 - 7*w - 8. Let q be a(g). Solve -q*j = 8, 5*u + 2 + 6 = -4*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -48) + 1941 + -2037.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*c**2 + 6*c**3 - 43*c**2 + 5*c + 73*c**2 - c**4 + c.\nAnswer: -c*(c - 3)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811801510 rounded to the nearest one million?\nAnswer: 812000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 745 + -746. What is the closest to -1 in 5, q, 1.6, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 54. Let k = 295 + -289. Calculate the smallest common multiple of k and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 3028*n**2\/11 - 1277618*n\/11 - 96514752\/11.\nAnswer: -2*(n + 96)*(n + 709)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 13*p**6\/720 - p**5\/120 + 22*p**4\/3 + 58*p. Let b(j) be the third derivative of h(j). Let t = -4 - -5. Give b(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 10*f**2 + 18*f + 18. What is q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 210*x**2 - 4*x + 6. Let v be c(2). Suppose 9*t + v - 55 = 0. Let f = 84 - t. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72237534 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2859*b**2*q - 43811*b**2 - 3*q**2 wrt q?\nAnswer: -2859*b**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290673*c*i*v**2 + 2*c*i*v + c*i + c*v**2 - i*v + 2*i - 3316*v + 4 wrt v?\nAnswer: 581346*c*i + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 23\/7)*(-5 - 2). Suppose 0 = -n + q - 26. Let c(z) = 4*z - 21. Let o be c(n). Sort 2, -2, 4, o in decreasing order.\nAnswer: 4, 2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k. Let u be g(7). Suppose o - 2*c = 10, 4*o - 2*c = -u*c + 64. Calculate the smallest common multiple of 7 and (o\/(-12))\/((-6)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-150)*-6)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (7 - -2) - (25 - -6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 - (9 - 15) - -21*2. What is the greatest common divisor of m and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8081 times -0.3\nAnswer: 2424.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 2*m + 2. Suppose -4*k + 2*k + 3*q = 23, -2*k = q + 11. Let t(c) = 8*c**2 + 11 + 48*c - 9 - 45*c. Let y(u) = k*x(u) + 6*t(u). Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -0.5. Let x = h + 1.4. Which is the closest to -1? (a) -1\/3 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/16*-2)\/(33\/(12144\/(-3910))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 195.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.5 + -55.5. Let b = 101.9999874 + h. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*a = -31, 0 = 4*m - 47*a + 51*a - 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4335550371.\nAnswer: 3, 41, 11749459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let w(s) = -s**3 + 10*s**2 - 6*s - 5. Let y be w(9). Let p = -33 + y. What is the units digit of n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + (-7 - -16) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 141625*f + 52213980.\nAnswer: -5*(f - 28689)*(f + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*b**2 + 3\/4*b**3 + 1\/4*b + 0 + 1\/4*b**4 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5244 and 0.1?\nAnswer: 524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1740*u**2 + 22*u - 22*u.\nAnswer: -1740*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 109*s**3 - 81*s**2 + 722*s - 11. Is q(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - u + 39 = -i, -2*i - u + 27 = 0. Suppose i*x - 7*x = 48595. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s**2 + 47*s - 21. Let j(a) = -a**3 - a**2 - 2*a + 1. Let b(c) = j(c) - n(c). Let m be b(-22). Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*h**4 + 14052*h**2 - 1119794 wrt h.\nAnswer: -88*h**3 + 28104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**2\/11 - 428*m\/11 - 446\/11.\nAnswer: 2*(m + 1)*(9*m - 223)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*o - 130*o**2 + 223*o**2 - 12*o**2 + 174*o**2 wrt o?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17121, -68494, -154119, -273996, -428125?\nAnswer: -616506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -14*r**3\/3 - 3. Let z(d) = -2*d**2. Determine q(z(n)).\nAnswer: -56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5 + -5 + 26\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 260 = 988. Let y(l) = -l**3 - 14*l**2 + 9*l - 53. Calculate the remainder when t is divided by y(-15).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 4445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080400 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*u = -689 - 315, -3*u + 510 = -d. Let x be (d\/2 - 1)*-1880. Suppose -7*n - x = -2*n. Round n to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*d + 154 = 0, 2*d - 61 = -j + 6*d. Let z = j - 216\/5. What is the common denominator of 77\/6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118*c*p**3*r + 4769*c*p**3 - 4*c*r + 3*p**2*r with respect to r.\nAnswer: 118*c*p**3 - 4*c + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-110)*(-6)\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 + u**4\/24 - u**3\/6 + 44*u**2 - u + 22. Let k(c) = -4*c**3 + 3*c**2 + 3*c - 3. Give 15*a(s) - 5*k(s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 11, -0.05 in descending order.\nAnswer: 36, 11, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-75)\/(-20))\/(-15))\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 2. Let w(x) = -4*x + 0*x + 5*x. Calculate q(k) - w(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 4700*s**2 - 18653375*s - 9389428750.\nAnswer: 5*(s - 2630)*(s + 845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1299*-0.22\nAnswer: -285.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13855 and 191199?\nAnswer: 955995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*w - 115, -3*v + 45 = 5*w - 8. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.27. Let d = o - -4.26. Which is the closest to 0? (a) 1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 487*s\/4 + 1205\/2.\nAnswer: (s - 482)*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/35, 4, 1304, 1, -2\/7, 15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f + 4*f**3 + 4*f - 4*f**3 + 1 - 4*f**2. What is g(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1952 + 1951.9986324. Round k to five dps.\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506748497 to the power of 1\/2, to the nearest integer?\nAnswer: 22511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 - 12*r + 14. Calculate p(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 2*w. Let c be ((-2925)\/(-351))\/((-15)\/(-18)). Let r(b) = b**2 - b. Let v(h) = -14*h**2 + 8*h. Determine c*r(p) + w*v(p).\nAnswer: -4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)*m**(-5)*m**(-4)\/m**10 assuming m is positive.\nAnswer: m**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 5*u - 6. Calculate a(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m**2 - 11*m**2 + 5*m**2.\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -7\/3 (b) 5 (c) 2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**5 - 92 + 56 + 50 + (4*f**5 + 2*f**5 - 5*f**5)*(2 + 2 - 5).\nAnswer: -7*f**5 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -456131.4 to the nearest one hundred.\nAnswer: -456100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*d + 14, 1270*d - 8*r = 1272*d + 46 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b. Suppose 2*w + w + 9 = b. Let k(h) = -h - 2. What is k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(3) + sqrt(27)))**2 - (sqrt(153) + 0).\nAnswer: -3*sqrt(17) + 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1645 - 807 - 839 + 245*p + (0 - 1 - 1)*(-p + 6*p + 0*p) as y*p + o and give y.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.203 and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (75*33\/(-594))\/((-25)\/270)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 270180 divided by 1\nAnswer: 270180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*(-360)\/(-48). Let f(w) = w + 2*w**2 - 7 - 2*w - 3*w. What are the prime factors of f(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 132. Is (16\/24)\/((-2)\/d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.49182\nAnswer: 0.442638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 184*n + 1\/10*n**6 + 0*n**2 + 20*n**4 + 0 + 57\/20*n**5 - 50*n**3. Factor l(z).\nAnswer: 3*z*(z - 1)*(z + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 171?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73773186 + 79*b**3 + 73773186 - 147546372.\nAnswer: 79*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*y + 4 = 104*y, -2*q + y = -5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14780969 + 980969 = 3*m. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/15*(1 + 4). Let t = -3 + o. Suppose 5*q + 25 = -0*q. Which is the smallest value? (a) q (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1065 and 97\/24017028.\nAnswer: 120085140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 14, 45, 100, 185, 306?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 + 2. Let w = 18 - 10. Calculate the lowest common multiple of w and k(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 0)**2 + (sqrt(32))**2*2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 3\/6)*(-160)\/280. Let v(k) = 2 + 2*k + 1 + 2*k. Suppose -6*f + 4*f + 17 = -5*x, x + 3 = 0. Let y(d) = d + 1. Calculate f*v(z) + w*y(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493 + -490. Factor -6\/7*d**2 - 6\/7*d - 2\/7*d**u - 2\/7.\nAnswer: -2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1244198, 2488397, 3732596, 4976795, 6220994?\n\"Answer: 1244199*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*s + 2*r, 2*s - 14 = -4*r. What is the nearest to s in 5, 2, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 4:17 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(2\/7))\/f)\/f**16 assuming f is positive.\nAnswer: f**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let d be j(-5). Suppose -3*g + 15 = 3*w, 5*w = g - d*g + 24. What is the third derivative of -s**2 - 3*s**2 - 8*s**6 - 2*s**6 - w*s**6 wrt s?\nAnswer: -1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 1*(-6 - -3). Suppose x*y - 23 - 67 = 0. Is 18 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9 + 52\/(-3). Let q = i - -21. Suppose 8 = z + z. Solve q*u - 2 - 3 = 5*k, -2*u + z*k = -2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:27 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 43. Suppose -2*t = 3*u - 7, -t + u - 4*u = -w. Let d be t - (0 + 1 + -30). Solve -3*v - 2*l = -d, -2*v + 5*l = -v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11 = -14. Let x = n - -5. Suppose -v + 0 + 7 = x. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 2158*p + 49409. Determine r(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33310011012 (base 4) to base 3.\nAnswer: -21210121112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -49, -125, -253, -445, -713, -1069?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 9 + 15*f**2 + 6*f + 9.\nAnswer: 15*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 88, 0.1, -93, -2634?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)\/v*(v*v*v**(4\/11))\/v)\/(v\/(v\/((v\/((v\/((v\/(v\/v**(-11)))\/v))\/v*v))\/v*v))*v**9) assuming v is positive.\nAnswer: v**(152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*p - 22 = 0, -22*p + 24*p - 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(539) + sqrt(539))**2 - (sqrt(539) + (sqrt(539) + sqrt(539)*-1)*-6).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31452 is divided by 226?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.2 (c) 0 (d) 2\/5 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 2:20 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*j + 413*j = 6240 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63236059\/1271 - -49753. Let g be (-1)\/(-2) + (-143479)\/(-45756). Let v = b + g. Calculate the common denominator of 67\/20 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -107. Let s(f) = -f + 1. Let z(r) = 3*r - 4. Let q(c) = -4*s(c) - z(c). Give q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1113 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1031 - 549 - 1440 + 253 + 284)*(-4*p**2 - 5*p**2 + p**2) to u + v*p**2 + x*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 158?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.7 - 6. Let i = c - 1.70000089. What is i rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 3. Let n = 217 - 1955\/9. Let r be (-1)\/(-2) - 27\/6. What is the smallest value in n, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33233 + 13?\nAnswer: -33220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsccuffufscccucxs. Give prob of sequence suu.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2\/5 + 208*k\/5 + 207\/5 = 0.\nAnswer: -207, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1)\/(1554\/(-39) + 40)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*j + 27, 0 = 3*j - 0*j - 4*x - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1\/84*m**4 - 1\/14*m**2 + 1\/21*m**3 + 6 - 3*m. Let q(c) be the first derivative of u(c). Factor q(n).\nAnswer: -(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 - 4 = 0. Suppose -q*r + 265 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 8, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -21*p**2 + 4*p + 3. Let b(y) = y**2 - y - 1. Give 3*b(a) + i(a).\nAnswer: -18*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**37\/(f\/(f**(-3)\/f))**(-26) assuming f is positive.\nAnswer: f**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2*3\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -31\/3, -3\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 43 = -3*o. Let d = -11 - o. Suppose 2*p = -d*p. Solve -2 = -x - p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -330*h**2 + 20. Let b(v) = 329*v**2 - 24. What is 5*b(r) + 6*k(r)?\nAnswer: -335*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69678 + 3*u**2 - 69678 - 224*u**3 + 67*u**3.\nAnswer: -157*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 6*t. Find the common denominator of t + 4\/(-32)*27 and -9\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**4 - f**3\/3 + 46. Let g = 0 + -2. Let s be h(g). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 35. Let i be x(-6). What is the closest to i in 1\/2, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91885796 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1330 + 4?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i - 4. Let c(t) = -t**3 + 9*t**2 - 7*t - 14. Let r be c(8). Calculate k(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 236455969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = 44. Suppose -3*v = 4*p + u, -5*p - 9 - 1 = 5*v. What is the third derivative of -4*t**2 + 0*t**2 - v*t**5 + 2*t**5 + 3*t**5 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/10 and 15\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3056173390 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -67\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c)**30*c**(-10\/7)\/c*(c\/((c**(1\/6)\/c)\/c)*c)\/c assuming c is positive.\nAnswer: c**(647\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575714?\nAnswer: 2, 433, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66598547 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 1. Suppose 6 = 4*c + 50. Let f = c - a. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254280, -1017225, -2288786, -4068951, -6357708, -9155045, -12460950, -16275411?\nAnswer: -20598416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 4, u: 1}. Give prob of sequence eb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(4\/3))*(b**(-2\/7)\/b*b)\/b)\/(b**1*b)**(3\/32)*b*b**(-2\/11)*b*b*b*(b*b*b*(b\/b**1)\/b*b)\/b*(b**(1\/3))**(2\/103) assuming b is positive.\nAnswer: b**(721375\/126896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (1 - 5) + 4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 8. Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3711821?\nAnswer: 19, 195359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3330 - -1332.\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/960 and 19\/256?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 22. What is the remainder when (48\/(-5))\/((-3)\/10) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/v)\/v**5*(v\/((v**(2\/3)\/v)\/v))\/(v\/(v\/v**(-6))))**(3\/4) assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 + 425. Let r be 5*(3 + 0 + -2). Solve -p + 4 = 3*s - 3, 5*s - r*p - g = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 456?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.84694206 to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6256164 - 4229949. Let w = r + -2026200.99979. Let z = w - 14. Round z to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169417121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-18))\/5 + 55\/22.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -61. Let h = v + -11. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00819593068 to seven dps.\nAnswer: 0.0081959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 n when four letters picked without replacement from {k: 4, n: 3, v: 5, x: 7}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117, -115, -99, -63, -1?\n\"Answer: a**3 + a**2 - 8*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(1008) + sqrt(1008) + -1 + 1 + sqrt(1008) + 1)*-5*-4 + -5)**2.\nAnswer: -21772950 + 43200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 = -u, 3*h - 83 = -5*u + 7*h. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f - 31, 4 + 37 = -2*f + 5*r. Let x = f - 37. Is 2658\/(-5)*x\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, -3, -0.1.\nAnswer: -3, -0.1, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 18. Let w be s(0). Suppose 4*o - o = 3*l - w, -o + 4 = 4*l. What is the lowest common multiple of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 194.8 (c) -0.2 (d) -0.4 (e) -2\/15 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4473225*n**5 - 129655845*n**4\/2 + 164528093*n**3\/2 + 58777037*n**2 + 441104*n + 832 = 0 for n.\nAnswer: -1\/2, -8\/2115, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 1. Suppose 9*r = -4 - 50. Let u(j) = 4*j - 9. Calculate r*o(f) + u(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, -1\/7, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 4*y**2 - 5*y - 2*y**4 + 3*y**4 - 2*y**4 - 3*y**4 + (3*y**2 - 4*y**2 + 2*y**2)*(0*y + 0*y + y**2) + 0*y**4 + 3*y**4 - 5*y**4.\nAnswer: -5*y**4 - 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/2 + 26*x**4 + 145*x**3\/2 + 25*x**2.\nAnswer: x**2*(x + 5)**2*(5*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.198284 to two dps.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 2:38 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/n**(1\/2))\/n))**17 assuming n is positive.\nAnswer: n**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1068 * 0.5\nAnswer: 0.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (127\/2)\/((-10)\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41533\/8 + -5202. What is the common denominator of 17\/18 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 694578.\nAnswer: 1\/347289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/13 + 219708*i\/13 + 591710 = 0.\nAnswer: -35, 109889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 898435225 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-28) - (0 + 1). Let b = -260 + 308.7. Let n = b + -49. Sort x, n, -0.7 in ascending order.\nAnswer: -0.7, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**3 - 1539*y**2 + 3112*y - 183. Determine a(-173).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 457 - 452. Calculate the greatest common factor of o and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -25*o**4\/4 - 1056565*o**3\/4 - 2792540124*o**2 - 36258395472*o = 0.\nAnswer: -105624\/5, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let h be (0 + 6)\/((-42)\/28 + 3). Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-7)*y)**(4\/15)*(y\/y**0)\/(y\/(y\/(y\/(y*(((y\/(y**(-19)\/y))\/y)\/y*y)\/y*y)))))**29 assuming y is positive.\nAnswer: y**(8671\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**3 - 14*m**2 - 5*m + 5. Let g(a) be the first derivative of 3*a**4\/2 + 14*a**3\/3 + 2*a**2 - 4*a + 452. What is -5*g(q) - 4*w(q)?\nAnswer: -2*q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22077, -88326, -198747, -353346, -552129, -795102, -1082271?\n\"Answer: -f**3 - 22080*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/5 + 56*w**4\/5 - 98*w**3 + 1396*w**2\/5 - 1536*w\/5 + 576\/5 = 0.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14271563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.487 + 0.587. Let m(t) be the first derivative of -t**3\/3 + 13*t**2\/2 - 16*t + 4. Let k be m(12). Which is the closest to 4? (a) k (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*m - 16187855 + 16187855.\nAnswer: 235*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -9. Suppose 3*w = 8*w - 15. Sort 11, c, w, 2 in descending order.\nAnswer: 11, w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333368004 by 6.\nAnswer: 55561334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 - 4*w + 51. Let g(v) = -v**3 + 6*v**2 + v - 25. Let o be g(5). Calculate c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -315 + 324. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 9:41 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 114. Calculate the highest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + ((-252)\/(-27) - 9)*1506 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.448 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let p = -7 - -8. What is the biggest value in p, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20 = -3*y, t = 2*y - 6*y + 34. What is the third derivative of 2*b**2 + y*b**3 + b**2 + 2*b**2 + 2*b**3 wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from uxxyvyvux.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 8*s + 2*s. Suppose s = 3*g - 3*k - 291, 290 = 3*g - 3*k + k. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 21 = 19*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86680, 173363, 260048, 346735?\n\"Answer: m**2 + 86680*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -23. Let l be 0\/(u\/12*3). Suppose -8*v + v + 1897 = l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 112836.\nAnswer: 112836.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -70*m + 1. Let b(g) = 0 + 2 - g**2 - 4*g - 2 - 3. Let l be b(-4). Is s(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxtedkx. What is prob of sequence ekm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -777, -3091, -6945, -12339, -19273, -27747?\nAnswer: -37761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1023 (base 7) to base 12\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 3, t: 1}. Give prob of sequence ctm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {u: 5, e: 2, g: 3, j: 1, r: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 239. Suppose 0 = -4*m - 0*m - 4*w + y, -5*w + 32 = m. What is the least common multiple of -1 + 0 - (-3)\/1 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -652 + 693. Which is the second biggest value? (a) 0 (b) -1 (c) y (d) -2\/11 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 47465*c - 1613. Let p(b) = 15821*b - 541. Let k(r) = 7*p(r) - 2*v(r). Differentiate k(h) with respect to h.\nAnswer: 15817","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-1 - -2) + 6 + -15 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000673 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 5*b**2 - 4*b + 20.\nAnswer: (b - 5)*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*c - 83*c - 104*c)*(0*c**4 - 3*c**4 - 2*c**4) + (3*c + c - 2*c)*(3*c**4 - 3*c**4 - 2*c**4) - 2*c**5 - 3*c**5 + 3*c**5.\nAnswer: 614*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121006 is divided by 40333.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -4. Solve 1 = g*f - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 4*z, -3*z - 4*g + 5 - 6 = 0. Let t be 0 - ((-8)\/(-6) + -1). What is the closest to t in 4, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305175.\nAnswer: 5, 19, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 12) + (2 - 4) - (-2 - -1 - 119)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/40 - 28\/(-5). Suppose y*t = t + 15. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 - -3 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*3\/10*1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*r = 3*l - 1760*r - 21, r + 987 = 141*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c. Let a be g(0). Let x(h) = h + 18. Suppose -2*s = -5*z - 61, -4*s + 3*s + 2*z = -28. What is the smallest common multiple of s and x(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 7)*(2 + 1 - 1)*((-r - 2 + 2)*(-4 + 1 + 2) + 6*r - 2*r - 2*r) + 569*r - 409*r - 361*r.\nAnswer: -177*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 34981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137 and 6654531517.\nAnswer: 6654531654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:20 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 10930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v - 33 = 41*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240050963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*z**2 + 2*z + 9*z + 17*z**2.\nAnswer: -81*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*d**3 - 5*d + 57*d**3 - 29*d**3 - 3*d**2 - 7*d**2.\nAnswer: -5*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7447, -5761, -4071, -2377, -679, 1023, 2729?\n\"Answer: 2*r**2 + 1680*r - 9129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 76*s + 105. What is the units digit of d(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331 (base 4) to base 11.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122086 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1285\/13 - 99. Let d be (-49)\/245*(-30)\/4. Sort d, s, 4.2 in decreasing order.\nAnswer: 4.2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1442, -1443, -1444, -1445?\n\"Answer: -b - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1584) - sqrt(1584)*1) + -4*2*sqrt(1584) + sqrt(1584) + -2)**2.\nAnswer: -168*sqrt(11) + 77617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 66 (c) -47 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:10 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681352?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*b - 252, 618*p - 622*p + 1005 = 5*b. Calculate the highest common factor of 6950 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 3 - 22 - 20. What is the tens digit of j(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -462827.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3889, 7793, 11697?\nAnswer: 15601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.23214732?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + -88 + (-2 - 0 - -1)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1942 - 1943. Put -2, 0, x, -18 in descending order.\nAnswer: 0, x, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*15\/40)\/((-3)\/100). Find the common denominator of -41\/9 and 55\/m + (-3)\/(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/42)\/(8024\/826)*(138\/(-63) - -2)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20005*f*g**3*i - 16*f*g*i - f + 11*g**5 - 237*g**2*i - 3*g*i + 4*i wrt g?\nAnswer: 120030*f*i + 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 31305699 to the nearest 100000.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 10*q - 3*i - 32, -2*q - 22 = 3*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*f**3 - 1 + (-3*f + f + 4*f)*(2*f**2 + 0 + 0) - 10 - 13*f**3 + 10.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 51. Suppose 10*v + 9 = c. Solve v*u = -4*r + 2*u + 2, -3*r - 5*u = -5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 47 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 - 12*r + 31. Let h be i(6). Solve -11*n + 13 = -h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 46, 62?\n\"Answer: 16*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418 = 3*b + 1376 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 - 6*(-6)\/(-9). Suppose -9*f - 396 = -q*f. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324737 and 91?\nAnswer: 4221581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6238 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -9, 7, 43, 105, 199, 331?\n\"Answer: x**3 + x**2 - 8*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286050*l - 285810*l - 1440 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccoviih. What is prob of picking 1 o and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 5*g + 195, 183 = 3*w + g. Suppose -o = -2*c - 3*o + w, 0 = o. Suppose -3*l + 3*u = 2*l - c, 3*u = -5*l. Solve -l - 2 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -45*z + 2. Let y(i) = 44*i - 4. Give 6*a(w) + 5*y(w).\nAnswer: -50*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.037? (a) -5 (b) -4.1 (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*w - 9*y + 4*y, -3*w + 7 = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + -59?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 + 1561*w + 124. Give a(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/96)\/15*-1*-4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2222 + 2221.5. Which is the closest to 1? (a) s (b) 4\/7 (c) -9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/20)\/((-36)\/48*2\/18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4605, 9201, 13787, 18357, 22905?\nAnswer: 27425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10493777*c**3 - 399*c**2 + 41*c - 102.\nAnswer: 62962662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 21\/33253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -k - l, -5*k - l + 2 = 0. Let m = -1.9 + 4.34. Let c = 0.56 + m. Which is bigger: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343033410*v**3 - 35722*v - 3572 wrt v?\nAnswer: -2058200460*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 13. Let o = 11\/35 - -2\/105. What is the nearest to -2 in 3, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -0.8945. Round g to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(300) + -5 + -1*2*(-2 + sqrt(300)))**2.\nAnswer: 160*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {p: 6, h: 5, x: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 3844.\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -52. Solve 3*m = -5*n - h, -3*n + 8*n - 2*m = 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.1, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/390*(-16)\/(384\/(-612))\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 23. Let z be (-2)\/3*306\/t. Let r = z - 22. Sort 12, 0, r in ascending order.\nAnswer: r, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22240 (base 5) to base 15.\nAnswer: 6ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3933*y**4 + 4501*y**2 wrt y?\nAnswer: -94392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/(u*u**(1\/4)*u))\/(u**(-2)\/(((u\/(u*u**(-2\/7)*u))\/u)\/u))*(u\/(u**(-4)\/u)*u**6)**(4\/11) assuming u is positive.\nAnswer: u**(-493\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101010011001101101010 - 101?\nAnswer: -10001101010011001101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33040 - -5?\nAnswer: 33045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 1. Let k(y) = 63*y**2 - 18. Let m(a) = 2*k(a) + 33*s(a). Let p(w) = 11*w**2 + 5. Calculate -5*m(r) - 3*p(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76095 + 133884. Is 425 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2217, -4428, -6633, -8832, -11025, -13212?\nAnswer: -15393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m + m**3 + (-2 + 3*m + 2)*(-m**2 - m**2 + 4*m**2) - 1 - m**3 + 1.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 - 253. Let l(w) = -33*w - 88. Let m be l(r). Calculate the highest common factor of 77 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110 + 93?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 - s + 7. Let y be w(-6). Suppose y = 5*q + 23. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, 23, -2\/9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -33. Let v be (-143)\/w + 9\/36. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034407797?\nAnswer: 3, 197, 1750267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14699?\nAnswer: 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739, -2837, -6335, -11233, -17531, -25229, -34327?\nAnswer: -44825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22501816.\nAnswer: 2, 67, 41981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27234 by 51.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - m**2)*(-2*m - m - 3*m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 5624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 + 0.2. Let q = -7.05 - -0.05. Let z = q + 2. Which is the third smallest value? (a) -1\/3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by (-962)\/(-14) + (-8 - (-116)\/14)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*u + 75, 2*u - 3*n - 27 = 3*u. Is 10436\/6 + 4\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 8\/51649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + b**2 - b + 2. Let m(r) = r + 18. Let u be m(-16). Let k(q) = 10*q**3 + 6*q**2 - 5*q + 11. Give u*k(y) - 11*o(y).\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.977 + -0.023. Suppose -29 = 3*y + 4*z + 37, -z = 4*y + 101. Let d be 5 + -3 + y\/15. Which is the third biggest value? (a) i (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 6. Suppose 35*x = 37*x + 14. Let d(p) = -5*p + 5. Calculate x*d(w) - 6*z(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 divided by -174?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022042458\/9 equal to -113560274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, 163, 3 in descending order.\nAnswer: 163, 3, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let p(k) = 5*k**2 + 4*k**2 - 4*k**2 - k**2 - 4*k. What is -4*j(v) - p(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12 - 24 + k + 4 + 7. What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12957.94 rounded to the nearest 100?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 78 + f + 5 + 3*f - f + 1.\nAnswer: 3*f + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:33 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -1\/7, -1\/92 in decreasing order.\nAnswer: -1\/92, -1\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 989500049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/1365 + 19*g**6\/65 - 491*g**5\/15 - 2185*g**4\/13 - 13225*g**3\/39 + 186*g**2 + 1. Let r(j) = 0. What is j?\nAnswer: -1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*d + 8 = -125*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -130 and -0.13761.\nAnswer: -130.13761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/558)\/((-10)\/4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 3*h**2 + 5*h - 6. Let s be a(4). Let v(y) be the first derivative of 3*y**2\/2 - 2*y + 1. Let m be v(2). Put m, 3, s in decreasing order.\nAnswer: m, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1839 and 2874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757490611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*((-1 - 1) + 3) + 2. What is the greatest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.59557 and 5?\nAnswer: 2.97785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 403*d**2 - 1408*d - 748. What is a(4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 2, o: 2}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767031 to the power of 1\/2, to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-8)\/(-3). Suppose 9*u = -3*u + 48. Let r be (-1)\/12*((-7 - u) + 8). Which is the second smallest value? (a) 2\/19 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060063 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 255884.842 to the nearest 100.\nAnswer: 255900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/4 - 15*f - 61. Calculate u(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3041737*i**2*s - 144*i**2 + 9114 wrt s?\nAnswer: 3041737*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + -1*(-212)\/24. Which is the second smallest value? (a) 2 (b) o (c) -25\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, 5, 1, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108717 and -140.3.\nAnswer: -15252995.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 446*i + 365*i - 958*i + (3*i - 2*i + i)*(1 + 1 - 4) + i + 2 - 2.\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 4) + 22 + -18 + (27 - -20).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1162356, 1162361, 1162366, 1162371, 1162376?\n\"Answer: 5*s + 1162351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-20)*l\/((l**4\/l)\/l))**(-41) assuming l is positive.\nAnswer: l**861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 752\nAnswer: 35\/752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017623922 rounded to five dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7082.9996907 + -7083. Round k to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2394, -82 in descending order.\nAnswer: 2394, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84543735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let k(f) = v - 5 + 3 - f. What is k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102000121120 (base 3) in base 10?\nAnswer: 216960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**3 - y**2 + 2*y - 1. Let n be p(1). Let r be (-15)\/n*(-2)\/(-7). Let h = 524\/77 + -78\/11. Which is the closest to h? (a) 0.1 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*p + 100 - 81 = 0, 3*p + 27 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79813.944249 - -79814. What is k rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6979970961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -521089*q*v + q + v - 1524137 wrt q.\nAnswer: -521089*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1. Let q(t) = 10*t**2 + 1 - 6 - 11 + 1. Let x(k) = -20*n(k) - q(k). Differentiate x(m) wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 1*sqrt(117) + 5)**2 - (1 + sqrt(117)*2 + -4 + (sqrt(117) + (1 + sqrt(117))**2 - sqrt(117)) + 0).\nAnswer: 51 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5699769, -5699761, -5699751, -5699739, -5699725, -5699709?\n\"Answer: g**2 + 5*g - 5699775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.104\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19944391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -229\/5, 0, -2\/17, -9\/7, 4?\nAnswer: -229\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.44 - -0.44. Let t = 18.64 + n. Let z = 0.14 - t. Which is the closest to 0.1? (a) z (b) 7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kmkkmmkkmkkkkkkkkk?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**(-1\/10)*y*y\/(y*y*y**(-5)\/y)*y**10 assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -11 - 3. Solve b - 3*l = -p, -5*b - 3*l + 0*l - 16 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -206.\nAnswer: -91\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -119, -119, -75, 13?\n\"Answer: 22*o**2 - 110*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1691107 + 0.169. Round k to 6 dps.\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9648797\/2907 + -41\/5814. Let t = o - -3328. Find the common denominator of t and -21\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298619\/9394 + -1968\/61. Calculate the common denominator of j and 58\/35 + 0\/4.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 - -2 - 13. Let l = a - -19. Suppose -f + 3 + 1 = 0. Calculate the greatest common factor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w + w + 2*w)*(6*w - 19*w - 5*w)*(-9*w**2 + w**2 - 11*w**2) in the form l + h*w**3 + d*w**4 + g*w**2 + m*w and give d.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1536, 11, 0.31, 3\/2, 3 in increasing order.\nAnswer: -1536, -0.2, 0.31, 3\/2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1333322 - 31?\nAnswer: 1333251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l**(-3)*l)*l*l*l*l)*l)\/(l*l**(-2\/3)\/l)*l**(-2\/5)*l*(l*l*l*l**(-2\/35))\/l assuming l is positive.\nAnswer: l**(-83\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5477453 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: In base 7, what is 133 + -33640262?\nAnswer: -33640126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (31 + 11 + -24 - 14) + 7 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 28 = -16*m + 2*p, -2*m + 4*p + 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55466174 * 5\nAnswer: 277330870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -0*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -2.9, -5.\nAnswer: -5, -2.9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2349737993\/365961 + 8\/1829805. Let p be (-3)\/(-12) - (-25691)\/4. Let q = k + p. Find the common denominator of 83\/21 and q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydbbblbdbfdlfbl. What is prob of sequence flf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -943 + 0.55389?\nAnswer: -942.44611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1612 - 401?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, w: 2}. What is prob of picking 3 z?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 54*z - 2. Let y be h(1). Suppose 12 - y = -4*l. Solve -2*x = 2*v, 4*v = x + 5 + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1727*j - 1736*j = -432. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(171) + (sqrt(171)*2 - sqrt(171)) + sqrt(171)) - sqrt(171))\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 1266611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-930)\/(-320)*1*-2 and 91\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/9 + 458*l**2\/9 - 99704*l\/9 + 1715320\/9 = 0. Calculate l.\nAnswer: -370, 19, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2324\/13 - 42313\/234. Find the common denominator of (-12)\/30 + (-353)\/30 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(2 + -5). What is the closest to h in 5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnpr when four letters picked without replacement from vfbpbpnrf.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = -3*i + 106, y = 2. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/18 + 0\/(-1). Let r(z) be the third derivative of z**4\/8 - z**3\/2 + z**2. Determine r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -14. Suppose 4*g - 11 = v. Suppose -157 + 52 = -g*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1727123 or 1727153?\nAnswer: 1727153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20*-142753\nAnswer: 2855060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2)*u)**(7\/6)\/((u**8\/u*u*u)\/u**3) assuming u is positive.\nAnswer: u**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20442511 + -2?\nAnswer: 20442506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 + 20*q + 45. Let l be c(-5). What is the closest to 0.036 in 3, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 593*x - 5991. Determine t(10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = -36. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71648, -143245, -214842, -286439, -358036, -429633?\nAnswer: -501230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(539)*-2 - (sqrt(539) + ((sqrt(539) + sqrt(539) + 0)*-4 - sqrt(539)) - sqrt(539))) + -4)**2.\nAnswer: -1176*sqrt(11) + 237715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 113.62\nAnswer: 681.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/42 + 34\/(-204).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103113 + 22?\nAnswer: -103031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*2*3 - ((1*sqrt(84) - sqrt(84))*-2 - sqrt(84)))\/(sqrt(72)\/(-2*sqrt(24))).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/2046051?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1328369 - -15)\/(1 - (-21)\/(-7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -324957\nAnswer: -22746.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2, 1\/7, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, -1, 646, -5 in decreasing order.\nAnswer: 646, 5, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3974689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 + 69*w + 20. Calculate p(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 8 = 4*j + 37, 5*j = 5*h - 30. Suppose -118 = -3*p + 4*f - 23, -h*p - 5*f = -135. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 210*z**2 - 856*z - 848. Let q(t) = 6*t**3 + 1257*t**2 + 5138*t + 5088. Let b(p) = 13*i(p) + 2*q(p). Find s, given that b(s) = 0.\nAnswer: -212, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5, y - 2*x + 2 = 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -1.398239\nAnswer: -25.168302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1703\/12 + -142. Which is smaller: h or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26770302 or -107081211\/4?\nAnswer: -107081211\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w - 4. Calculate r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 36*u**2 - 36*u + 96. Let o(g) = -2*g**2 - 1. Let s(l) = -16*o(l) - x(l). Suppose s(t) = 0. Calculate t.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)\/f**16 assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 67 - (72 - 14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.3 and 1.8557.\nAnswer: 0.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z - 56 = 0. Let c = -23 - z. What are the prime factors of (84\/c)\/((-4)\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n - 1. Let l(k) = 188*k + 10. Determine -52*i(h) - 6*l(h).\nAnswer: -140*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 13. Let d be (-10)\/4*(-16)\/10. Let c be o(d). Suppose 2*v + 1 = c. Solve v*l + f + 5 = 0, 5*l - 15 = 2*l + 3*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*j + 151*j + 27*j - 14*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*n**3 + 129*m**2*n**2 - 199*m**2 + 1124*m*n**2 + 105*m*n + 2*n**3 wrt m.\nAnswer: -4*n**3 + 258*n**2 - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/264)\/(((-6)\/9)\/(8\/6)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 + 15)*5*(5\/(-2) + 3). Let p = 7 + -7.1. What is the third biggest value in p, o, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/15)*g)\/g**7*((g**(-1\/8)\/g)\/g)\/(g\/(g**(-7)*g)) assuming g is positive.\nAnswer: g**(-1679\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 4*c - 1. Let n(q) be the second derivative of -q**5\/10 - 5*q**3\/6 - q**2\/2 + q + 8. Give -3*f(g) + 2*n(g).\nAnswer: 2*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25323536.\nAnswer: 2, 7, 226103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.2 + 51. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183 and 24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 6*r - 51. Give j(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.494449?\nAnswer: 0.694449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609258?\nAnswer: 2, 3, 13, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203255 + -5304?\nAnswer: -213003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1891 - -4896. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*l + 2736*l + 2210*l + 0 + 0.\nAnswer: 5593*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 6*b + 3. Let s(i) = -6*i**2 - 14*i + 7. Let y(g) = 7*h(g) - 3*s(g). Let u(j) = 4*j + j - 3*j. Give u(y(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + j + 35 = -4*a, j = -2*a - 17. Let v be 5\/(-2)*(2 + 0). Let p = a - v. Sort -1, p, -5 in descending order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/4 + 345*n**3\/2 + 693*n**2\/4.\nAnswer: -3*n**2*(n - 231)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-54 - -15) + -1 + -1 + 132 + -135.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055 = 6*m - m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -5?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-7 + (-9 - 13))) + -6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/36*(-136)\/(-51) - (-429)\/(-108).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 6:26 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkr when four letters picked without replacement from {k: 10, r: 10}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 3, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -6 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 130*q + 9991. Suppose -5*j + x = 411, 2*x + 36 = -j - 55. Let s = q - j. Solve s*k = 8*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyf when three letters picked without replacement from gydffzdggdgdgfd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*s**4 + 482689*s - 482689*s)*(-3 - 1 + 3)*(-4*s + 6*s - s).\nAnswer: 201*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/4*(-16)\/8. Let r(i) = -i + 23. Let c be r(y). Calculate the highest common factor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/11131039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 17 - 30) + 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38516921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 27*t + 144. Let y(k) = -20*k - 108. Let u(q) = 3*c(q) + 4*y(q). Let x(h) be the second derivative of -31*h**4\/12 - h**3\/3 - 4*h. What is x(u(b))?\nAnswer: -31*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 8*n - 10. Let j(p) = -p**2 + p + 1. Let d(c) = 2*j(c) + y(c). Let h be d(-7). Let x = h + 43. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (2 - -1) - (-8 + 9). Suppose -14 = 3*r - 4*l + 6, 0 = -v*r - 5*l + 25. Solve r = -2*f + 3*g - 11, 0*f = -4*f + 2*g - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9+-0.069319\nAnswer: -4.969319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -s + 5, 0*l + l = -5*s + 13. Suppose 0 = -f + s + 1. Suppose -u = -4*u + f. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, -1\/12 in descending order.\nAnswer: 7, 0.3, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = k - 71588, -29*t + 33*t - 143158 = -5*k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 70\/9 (c) 2\/41 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*n**4 + 104*n + 176*n**4 - 158*n wrt n?\nAnswer: 3972*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2872)\/(-24))\/(((-4)\/(-1))\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 429068.8132 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.99631 to 2 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k = 203 - 105. Solve c - 2*c = -k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 7 - 28. Suppose 3*t - 5 = 4. Let r(b) be the second derivative of b**3\/2 - 13*b**2\/2 - 7*b. Let g(y) = -y + 6. Determine a*g(z) + t*r(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140486822 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2331?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 8*p**2 - 8*p - 1. Let b = 29 - 8. Let t be (1 - 0)\/((-3)\/b). Is 3 a factor of d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 363*t + 19. Let l(n) = -122*n - 5. Give -14*l(b) - 4*s(b).\nAnswer: 256*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -340*d - 1. Let x(t) = -7*t**2 - 184*t. Determine x(l(o)).\nAnswer: -809200*o**2 + 57800*o + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46180.\nAnswer: 2, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/5? (a) 0.4 (b) -1\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 12. Suppose -139*n = -124*n - 45. Solve -3*s = n*g + c, 4*s - g = g + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v - c = 5, -5*c + 3 = -3*v. Sort -11, -5, v in increasing order.\nAnswer: -11, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 15 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1710 + 3604 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let h(x) = 4*x. Determine 4*h(k) + 3*s(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 3*b + 0*b + (0*b + b + 0*b)*(-2 + 2 - 1))*(b + 2*b - 4*b) to the form l*b + c + q*b**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -80\/13?\nAnswer: -80\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159 - 117*q**2 + 145 + 119*q**2 - q + 180 to the form i*q + r + b*q**2 and give r.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 131. Let o(r) = 111*r. Calculate n(o(q)).\nAnswer: -111*q + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-6 + (-144)\/(-27)). Which is greater: -16\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**2 + 4*g + 2. Let m(r) = 17*r**2 + 11*r + 6. Let c = 1 + 3. Suppose -c*i + 3 = 19. Give i*m(o) + 11*k(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2270 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 + 32*p + 66. Calculate the smallest common multiple of 390 and v(-7).\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*2 + 0\/(-8) - 6525\/450?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006400325 rounded to 6 decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1268*f**4 + 8254*f**3\/3 - 568*f**2\/9 - 10168*f\/9 - 2560\/9 = 0?\nAnswer: -2, -1\/2, -320\/951, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) + 23\/2. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 104 = -4*r, r + 4 = 2*w - 24. Let y be 4\/(-3)*r\/(-16). Let j be y*(-4)\/4*(-2)\/(-2). Solve j*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 36\/(-108) - 1839\/(-9)?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oongnngnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/524779225 and 29\/474?\nAnswer: 3148675350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s**3 + 9*s**2 - 13*s. Let c(y) = 4*y**3 + 47*y**2 - 51*y**2 + y**3 + 6*y. Suppose 0 = -t + w - 7, 5*w = -5*t + t - 46. Determine t*c(h) - 4*k(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4111 + 4495. Let o(k) = 49*k**2 + 2*k + 1. Let h be o(-1). What is the highest common divisor of h and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-6\/19)*q*q**(-11\/2)\/q assuming q is positive.\nAnswer: q**(-183\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 44*j**2 + j + 122. What is x(44)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 15. Let q be m(4). Let k(f) = f - 1. Give k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) + (-11)\/(330\/192)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -7*h + 1\/3*h**3 + 0*h**2 + 16. Let j be b(-3). Solve j*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/188 - -313\/3948. Let w = -88 - -91.7. Let d = -4 + w. What is the third smallest value in -1, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 8 = -2*d, 20*d = -2*l + 15*d - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 - 0.01. Let f be 3663\/21*(-1)\/1. Let g = 174 + f. Sort 2\/9, d, g.\nAnswer: d, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 10*m**2 - 15*m + 1. Let u(r) = -r**3 - 1. Let l(z) = -q(z) + u(z). Let h be l(-8). What is the tens digit of -6*4\/(-6*h)*339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -2553, -5765, -10251, -16005, -23021, -31293?\nAnswer: -40815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r + d, 5*d - 9 = -2*r + 31. Solve -20 = 5*s - 2*n + r, 2*s = -2*n + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*a + 460 = -5*a. Let k(l) be the second derivative of -l**4\/12 - 2*l**3\/3 + l**2\/2 - l. Let z be k(a). Let h(w) = w - 2. Give h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672, -1341, -2010?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (-35 - (-30 - (5 - 14)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172160 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y**2 + y**2 - 4*y**2)*(-4 + 3 + 0) + (-14*y - 22*y + 12*y)*(-3*y - 3*y + 4*y))*(-2*y**2 - 39 - 46 - 5).\nAnswer: -98*y**4 - 4410*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(17))*2*4 - ((sqrt(17) - (5 + sqrt(68)\/sqrt(4)) - sqrt(17)) + sqrt(17))*4)**2.\nAnswer: 1600*sqrt(17) + 27600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -3.8, -4, 5.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-91)*4\/6\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-250)\/(-1750))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*f - 231. Let g = f - 98. Solve c = 4*k - 1, k - g*c = -2*c - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 11 = 1. Let x = 7 + -9. Sort t, 3, x in decreasing order.\nAnswer: t, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 3 (c) 0.5 (d) 5 (e) 15 (f) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f + 7. Let p be o(5). Suppose -1 + 2 - 8*t**2 + 4*t**4 + p + 1 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511 - 514. Let a = -0.334 - 0.066. Let x = -2\/7 - -3\/35. Sort x, a, f.\nAnswer: f, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.0682 * -88.\nAnswer: -1326.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 8. Let q be x(-8). Is (-30)\/(-4)*(12 + q) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904 = -120*b + 1376 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 3. Let g = 71\/2 - 37. Which is the nearest to 8? (a) d (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2156 and -52\/5.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050039 to four decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*r + 274. Let o = 15 - r. Suppose 3*m = -3*g + o, -3*m + 127 = 5*g + m. Solve -5*l + g = -3*t, -2*t = -l + 7 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 5. Let n = -14\/13 - -96\/65. What is the third biggest value in -0.5, n, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(2*(1 + 0)). Suppose 7*f = 9*f + 2. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*r - 31961, 120*r - 118*r - l = 21308. List the prime factors of r.\nAnswer: 5, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*g*(g\/(g*g**(2\/17)*g))\/g*g**(-8)\/g*g\/g**(3\/5)*((g\/(g**(-1\/5)\/g))**37)**(-18\/11) assuming g is positive.\nAnswer: g**(-11553\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -7, -15, -25, -37, -51?\n\"Answer: -m**2 - 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107415 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954996549.\nAnswer: 3, 13, 24487091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 40*a + 37*a = 7, 0 = 2*a + 10. Solve -g = -5*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*d - 19 = -4, -3*n + 5*d - 25 = 0. Let c be 6\/4*(-16)\/(-6). Suppose 2*m = 5*a - 4*a - 2, c*a + 10 = -m. Sort n, 5, m in ascending order.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(1\/18)\/(m**0\/m)**(6\/5) assuming m is positive.\nAnswer: m**(113\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {t: 6, v: 3, m: 1, c: 2, h: 2, x: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 + 9199*v + 0 + 1.\nAnswer: 9199*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21182, 21181, 21180?\nAnswer: 21179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1235 + -1814. Let z = k - -490.7. Let r = z - -82. What is r rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e0cd9 (base 15) to base 10\nAnswer: -711654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 <= 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 243 + 4707 = 0. Let x = a + 244. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 48 = 24*n. Suppose -314 + 110 = -n*u. What is the remainder when u is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**2 - 201*m - 205. Calculate i(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 48 - (-1147 + 1174)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 101 = -2*p, 4*p - 4 = 2*u + 174. Calculate the highest common factor of p and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 76346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k + 93 = -2*a, -3*a = -2*k - 49. Let f = -14 - k. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-9)\/6 + 2). Let v(h) = -h. Let g be v(l). Find the third derivative of 0 - 2*k**g + 0 - 2*k**6 + 3*k**2 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-4)*2\/(-2). Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*l = -17, 0*q + 2*l = -4*q + 14. Let d = q - 1. Suppose -d*w + 6*w + 72 = 5*c, 0 = 4*c + 4*w - 36. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 36 (b) 7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 3096 = -24*z. Which is smaller: -388 or z?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1704014.\nAnswer: -5\/1704014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Let v be 2 + (-1 + 1 - w). Determine p so that -v*p**5 + 0*p**4 - 5*p**3 + 6*p**4 - p**3 + 3*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from itikmmiizikizmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282655.\nAnswer: 5, 56531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 225*y + 1386. Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1250333, -1250355, -1250375, -1250393?\n\"Answer: c**2 - 25*c - 1250309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43654.04ns in microseconds?\nAnswer: 43.65404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(((-5)\/15)\/1). Suppose -4\/5*y**h + 0 + 2\/5*y + 2\/5*y**3 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t = -132*t + 549. Solve t + 3 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101\/36 + -2179\/180. What is the common denominator of -87\/22 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - h + 1971, -5*g + 0*h + 4*h - 3278 = 0. Let c(t) = 36*t**3 + t**2 + t - 4. Let p be c(-3). Let u = g - p. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -675, -718, -761?\n\"Answer: -43*s - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -50083.212539?\nAnswer: 50082.812539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/14 - -2 - (-25608)\/92862. What is the nearest to -6 in -1, o, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {z: 7, m: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 4. Let z be t(-7). Let d be (2\/5)\/(5\/z). Let l = d - -5. Calculate the highest common factor of l and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -71. Solve -5*y = -3*t + 5, 3*y - t = -2 + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -67*h - 1. Let z be (-2 + 8)\/2 - 5. Let f(r) = -133*r - 2. Let n(g) = z*f(g) + 5*l(g). What is the units digit of n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -1. Let t = 5 - 4.1. Let l = t + 0.1. Is l greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a = -1186*a - 10504 + 3014 - 6524 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose 4*s - 243 - 9 = 0. Suppose 3*h - h - s = 3*q, -t*q = -h + 49. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 5 - 3 - 2 + 4 + (6 - 1 - 3)*(3 + 1 - 3) - 2 + 1 + 3)*(12*y**4 - 7*y**4 + 2*y**4).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 692 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d + 7706 - 27824 = 0. List the prime factors of d.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.3 + 406.3. Let y = 344 - g. Do y and -2.14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from rlioz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p + 47226 - 49338 = 0 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2 + 2)*(-9*r + 4*r + 16*r)*(-2 + 2 - 5*r).\nAnswer: -110*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6\/2 + (1 + 50\/(-10) - -13366)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/8 - 1\/24. Let g be -1 - 3\/6 - (-9516)\/4200. Let h = -12\/25 + g. What is the nearest to h in i, -0.3, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*sqrt(832)*-2 + sqrt(832) + 0 + -3)*-2.\nAnswer: -176*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*10\/(-4)*-1. Let h(p) = -2*p + 5. Suppose -4*w + 5*a = -19, -w - a + 4 = -2*a. Let i(u) = -w + 3*u - 1 - 4. Calculate m*h(q) - 4*i(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 3*w - 252 = 0, -252 = -3*k - 2*w. Let m = -130 + k. Let x = m - -299. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -652 - -666. Let f be (14*-5)\/(2\/(-2)). Calculate the highest common divisor of f and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1200*b**3*x**2 - 4*b**3*x - 2*b**2*x**3 wrt x?\nAnswer: -2400*b**3 - 12*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r + 5. Let c be t(-10). Let p = 162 + c. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 236 = -200 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6210614110.\nAnswer: 2, 5, 621061411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 14 - -4 - (1 + 5 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -0.177 * 9\nAnswer: -1.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttataaw. Give prob of picking 2 w and 1 t.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1146*b - 35738. Calculate n(31).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*k = 93*k + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 3*f - 4*f + (1 - 4 + 4)*(1 - 1 + f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 5*i - 92, 382 = 5*p + i. Suppose 8*y - 115 = p. Let x = -49 - -167. What is the remainder when x is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 183 + 243. Solve a*x + 35 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742460 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74030.36 nanometers to millimeters.\nAnswer: 0.07403036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130807703 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 39*l**2 - 203*l - 104. Calculate the lowest common multiple of n(32) and 16.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbtw when four letters picked without replacement from zbzbtnwzbttttb?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3727\/5595 + -1\/1865. Let z = -44 + 171\/4. Which is the third smallest value? (a) o (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 11921.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7382, 29521, 66420, 118079?\n\"Answer: 7380*p**2 - p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (4 + -5)) + 7 + 0 + -25 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128942, 257977, 387012, 516047?\nAnswer: 645082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -8df?\nAnswer: -8e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/9069 + -556231\/9069. Let t be ((-30)\/33)\/((-3)\/(-203)). Let r = t - w. What is the smallest value in -1\/3, 0, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 65 (b) 5 (c) 213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obb when three letters picked without replacement from ababoaoaaoaao.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:26 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494478.3 rounded to the nearest 10000?\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -25, 0.2, 0.6, -9, 0.4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 10*i + 5. Let a(u) = 14*u**2 + u + 2. Calculate the smallest common multiple of a(-1) and n(-7).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*g + 50*g + 21464000. Round g to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*l = -40, 7*l - 3*l = -5*z + 42. Let h be 12 - (-5)\/(z\/4). Is 3602\/h + 6\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 55 = -j - 15, -3*y + 30 = -5*j. What is the tens digit of 1072\/y + (-20)\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 17*q**2\/2 + 402. Let o(j) = j - 6. Let m(b) = b - 9. Let t(x) = 2*m(x) - 3*o(x). What is 2*s(w) + 22*t(w)?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 550*s**3 - 34714*s**2 - 235850*s + 18910188 = 0.\nAnswer: -187, -53, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9415473.21751 and 37?\nAnswer: 9415436.21751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 2. Suppose 3*n - 1 = -3*f + 5, -3*n - 5*f = -6. Let p = n - 0. Let w(b) = b - 2. Calculate p*a(i) + 3*w(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 6}. Give prob of sequence afa.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 40*t - 1. What is g(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*b + 539 - 69 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.391742057924 and -3.\nAnswer: -3.391742057924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v**3 - 5*v**2 - 26*v - 52. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -564 by 6.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5167 and -0.128.\nAnswer: -5167.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 - -4. Let b = 3071 + -3070. Sort b, 0.5, 4, u in decreasing order.\nAnswer: 4, b, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o, o - 197 = -2*c + 2*o. Suppose 5*d + 220 = 2*d - 4*s, -4*s + c = -d. Let k = d + 86. What is the third smallest value in -0.1, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 10?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7))**(-32)*h**(1\/3)\/h*h*h*h\/(h\/h**(1\/6)))**(-1\/8) assuming h is positive.\nAnswer: h**(-451\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m + 14. Let v(o) = -5*o + 5. Let w(f) = 6*d(f) - 17*v(f). Let q be w(5). Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 39 + 23*c + 11 - 16*c - 20*c**2 to the form m*c**2 + d + y*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*r + 104*r - 373*r)*(-r - 4 + 4) - 9*r + 9*r - 7*r**2.\nAnswer: 182*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1681737 at most as big as -1681737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.296 - 0.004. Suppose -m + 10 = 2*c + c, -2*m = -4*c. Suppose -c*u - 3*h - 6 = 0, u + h - 4 = 3*h. Sort 8, u, 1\/2, d in descending order.\nAnswer: 8, 1\/2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4 - 105*h - 306 wrt h?\nAnswer: -4*h**3 - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 1691*k - 85809. Calculate t(-276).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857720794.\nAnswer: 2, 3, 199, 607, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*o + 67*o + 51*o - 176*o + 10*o + 99*o.\nAnswer: 145*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1\/(-1))*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 948137.1 micrometers?\nAnswer: 0.0009481371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7868 by 13410.\nAnswer: -3934\/6705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*w**3 - 172*r**3*w + 6*r**2*w**3 + 12*r*w**2 wrt r.\nAnswer: 12*w**3 - 1032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-30))\/((-3)\/12*(-7)\/35)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/1*(-234)\/(-27). Let n(o) = 10*o**2 - 153*o + 12. Is n(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = -3*j + 76, 0 = 2*j + 3*o - 42. Differentiate 8*d**2 - 72 + 36 - 9*d**2 + j*d**2 with respect to d.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 322\/112 + (-1 - 2). What is the nearest to -4 in m, 2, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*c = -669*c + 107 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*a**3 - 193*a**3 - 13 + 13.\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 8*w - 9. Let s be n(-6). Let l be 1\/(-2) - 99\/(-22). Suppose -4*r = 6*g - 3*g + l, -5 = 5*r + s*g. Which is greater: r or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*m**3*q**2 - 62*m**3 + 2*m*q wrt q.\nAnswer: -98*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzss when four letters picked without replacement from {f: 3, s: 4, z: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 6. Suppose 2*f - 6 = 14. Is b(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:41 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - (-28)\/140. What is v in 8*v**4 + v**2 + 11\/2*v**3 + 0*v + k + 7\/2*v**5 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**2. Let d(o) = 34*o. What is z(d(p))?\nAnswer: 10404*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5220.27 - -5168. Let t = j - -52. Let k = t - 0.03. Put 0.3, k, 0.2 in ascending order.\nAnswer: k, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -5. Let o = n - 9. Let m = 9 - o. Sort 1\/7, 3, m in decreasing order.\nAnswer: m, 3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = m + 3, m - 754*u + 7 = -757*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uthutvuuhhnhzz. Give prob of picking 1 v, 1 n, and 1 t.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + (-3 - -5))*(-5)\/(-2). Let b = -1 - c. Solve b*n - 1 = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l + 126148 = -117169. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 2, 1, 0.3, -7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 103620992*h\/9 + 103620994\/9.\nAnswer: -2*(h - 51810497)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9648*p**3 - 8*p - 13931*p**3 + 8*p + 8348*p**3.\nAnswer: 4065*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60 - 3)*(-496)\/(-24). Is (q\/57)\/(2\/15) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-12) - 2\/12. Suppose 4*q - 2*n = -0*q + 520, u*n - 528 = -4*q. Let p = q + -28. What are the prime factors of p?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 3. Let q = -335 + 330. Let u(d) = 20*d**4 + 2*d**3 - 15*d**2 + 6. Let l(s) = q*u(s) - 10*r(s). What is the third derivative of l(k) wrt k?\nAnswer: -2400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1564 - 1534. Calculate the remainder when 1618 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001 - -11011111?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 3*x. Let z(d) = 6*d**2 + 8*d. Suppose 2*h - 17 + 1 = 0. Suppose -b - 12 = -5*g, -4*b + g - 2 + 11 = 0. Determine b*z(l) + h*k(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.6 (b) -2\/5 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -757, 4, -9 in descending order.\nAnswer: 4, -9, -757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3583 or 32?\nAnswer: 0.3583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9995, -0.1, -0.2, 1\/5, 2\/7, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2745272, -5490547, -8235818, -10981085, -13726348?\n\"Answer: 2*h**2 - 2745281*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -25*j + 1320. Let w = 188 + j. Sort -3, w, 2\/5, 0.5 in descending order.\nAnswer: w, 0.5, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1605*f + 3356*f = 1632*f + 238 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 19 + 256. Let h be 1\/3 + s\/15. Suppose -a = 2*a + 2*w - 7, h*w - 21 = a. Is -3\/2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + j + 1 + 0*j - j**2 + (3 + 3*j - 3)*(-2 + 2 + 2*j) to n + v*j**2 + m*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-24) - 305\/(-30). Suppose x = 2*r - 0. Let v(t) = t. Give v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 0*n + 143 + 7*n - 9*n.\nAnswer: -2*n - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 + 608 = -2*m. Let l(f) = -20*f**3 - 25*f**2 - 25*f - 25. Let i(b) = 5*b**3 + 6*b**2 + 6*b + 6. What is m*i(p) - 6*l(p)?\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 791722, 791694, 791620, 791476, 791238, 790882, 790384?\n\"Answer: -4*u**3 + u**2 - 3*u + 791728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**3 - 29*v**2 - 69*v - 52. Let k be l(-3). Factor 64\/9*b + 22\/3 - 2\/9*b**k.\nAnswer: -2*(b - 33)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Suppose c*y = -3, 0 = -2*d - 3*y + 99 - 40. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13281768 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymmm when four letters picked without replacement from {m: 12, y: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1654.\nAnswer: -3\/1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -15 - (33 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let d = 19872.8 + -19877.1. Which is the second smallest value? (a) d (b) -2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/5 - (0 - 4\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and 31\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let p(q) be the third derivative of -q**4\/24 + 5*q**2. What is p(h(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 - 29 = 0. Solve -6 = -5*h + c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -32. Suppose x = 2*q + q. Calculate the highest common factor of 10 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 50 - 61 + o + 55 - o**2 - 45. Let s(u) = -4*u**2 + 6*u + 7. Give -6*r(a) + s(a).\nAnswer: 2*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*d - 7, 5*d - 5 = 9095*g - 9100*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyayayayy. What is prob of sequence yya?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/127575 and 12\/20125.\nAnswer: 14671125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 4)*(-6 - 2*k + 6)*(0*k**4 + 3*k**4 - k**4).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/(b**(-1\/9)*b*b)*(b**(-2\/7)*b*b)**50)**(-3\/4))**(-27\/5) assuming b is positive.\nAnswer: b**(12591\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j**2 - 53*j. Let v(w) be the second derivative of -5*w**3\/6 - 52*w + 6. Calculate v(k(d)).\nAnswer: 55*d**2 + 265*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6*(-2 + -150). What is the highest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -z + 2*z + 4*l, 5 = -2*z + 5*l. Suppose 0 = -48*m + 40*m - 91*m + 495. Calculate the smallest common multiple of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, n: 3, a: 5, g: 1}. Give prob of sequence nncn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14914233 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 2, y: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 101\/(-2) - (-3)\/6. Let s = -30 - a. Let t = 36 + s. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r. Let i(k) = -6*k**2 - 5*k. Let b(u) = -5*f(u) - i(u). Let y(v) = -2*v + 6*v + 0*v. Give b(y(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:07 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8408 + 8442. Solve 0 = -l*c - 7*c + 41 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*q, -2*j - q = 8*q + 24 + 99 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.058 - 2.872. Let z = s + -0.186. Which is greater: 16\/5 or z?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-2)\/1)\/2. Suppose -3*x = -b*s, 2*x - 3*x = -5*s. Suppose 2*z - z + 0*z = x. Solve -6 + z = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v + 0*v - 22 - 7*v. Let i be f(5). Let d = 31 - i. Solve 1 = -d*m + 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6)\/y*y)\/((y\/y**(3\/10))\/y)*y**(2\/13)\/y*y**(-4\/5) assuming y is positive.\nAnswer: y**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 0*i**2 + 2*i**2 - 6*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -29.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(0*o**2 - 3*o**2 + o**2) + 5 - 4 + 2*o**2 - 3.\nAnswer: 4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d**3 - 102*d**3 + 47*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 20, 23, 26?\n\"Answer: 3*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4916 - -44?\nAnswer: -4872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*a - 2*u, 0 = -0*a - a - 4*u + 18. Suppose 4*i + 3*f = 164, 2*i + 0*i - 82 = -3*f. What is the remainder when i is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 77.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -1\/3, -0.2, 275\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 6 - (-8 - -2)\/6. Let a be (3\/s)\/(8\/(-20))*-2. What is the second smallest value in 0, -2\/17, a, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/1*8\/(128\/(-6)). Let c be 42\/8 - 7\/28. Solve 7*o + 3*z = 4*o, x*o = -c*z - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Suppose -83 = b*n - 6*n - 5*w, w + 48 = 3*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3\/5 + 16*p**2 + 74*p\/5 - 156\/5 = 0?\nAnswer: -39, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 9728679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2644.04 + -2644. Sort -70, -0.2, a in increasing order.\nAnswer: -70, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-1)\/2. Suppose 2*k + 3*k + 5 = d. Let l = 1 - k. Solve -l*h + 6 - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-9 - -6 - (-9 + 1 + 8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -o - 278*b + 560*b - 279*b, -5*o + 2*b = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080338496 rounded to 6 dps?\nAnswer: 0.000803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Suppose 3*i + 8 = f*i. Calculate the greatest common divisor of i and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147633*((-20)\/(-2))\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**2 - 7*h - 4. Let a be z(-4). Let v = 286 - a. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yts. What is prob of sequence ys?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5 = -2500*m + 2497*m, -2*b + 6 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41131 and -14?\nAnswer: 41145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 - f. Let l be q(-1). Let t = 18151 - 18153. Which is the nearest to l? (a) t (b) -0.1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvgv when four letters picked without replacement from gyyygvvvyyykggg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**3 + 2296*m**2 - 3211*m + 6. Let p(k) = 3*k**3 + k**2 + 2. Let c(g) = f(g) - 3*p(g). What is the second derivative of c(a) wrt a?\nAnswer: 6*a + 4586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 213971?\nAnswer: -4\/213971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887375831?\nAnswer: 1069, 830099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(669\/2)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5456 is divided by 2689.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9054, -42085, -123078, -276015, -524878, -893649?\nAnswer: -1406310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7*b = -2*b + 35, 3*b = 5*n - 29. Suppose n*i + 3*v = 93, -4 - 65 = -3*i - 3*v. Suppose -40 - i = -4*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16.74 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}