diff --git "a/data/dm_maths/full_data_2/239_11255.jsonl" "b/data/dm_maths/full_data_2/239_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/239_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l be ((-21)\/(-105))\/(1\/(-5)). Which is greater: -4\/71 or l?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = 219*p + 267*p - 23155 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-12))\/((-885)\/(-1593)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + ((-2463)\/(-6))\/((-20)\/(-480)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (3 + 1 + (0 - 337))?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -4\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 14 = b, -11*b - 5*q = -7*b - 17 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51151\/2 - 25575. What is the third biggest value in -2\/5, -2\/19, v, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1)*10\/(-6). Suppose 4*w - 2*t + 7 + 65 = 0, 0 = -2*w - p*t - 36. What is w rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372 - -647. Let w = 303 - p. Calculate the remainder when 109 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(280\/256)\/(-35)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 - 7.3. Let o = -4.9 + y. Sort o, -3, 5 in increasing order.\nAnswer: o, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240661066 a multiple of 2818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44969189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 + 3 + -7) - (19 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77562143738065543 - 204453806871559237457\/2636. Let m = -1525789638 + c. Let y = -4\/659 + m. Calculate the common denominator of -27\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 5*r - 562. Let v be q(0). Let i = v - -929. Is i a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:07 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107586 + t**2 + 2*t**2 - 4*t**2 - 107586.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45\/4 - 569\/52. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55187.\nAnswer: 11, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -29. Let f = 15 - x. Suppose -5*s + f = -4*s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 + 8*g + 3. Suppose -115 + 31 = -12*y. Calculate j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - 23*i**2 + i - 11. Let y be b(7). Put 3, y, 5, 1 in ascending order.\nAnswer: y, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/3)\/((-10)\/24*(-8)\/(-140)) is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 23596\nAnswer: 94384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and 13838.6.\nAnswer: 13828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13797 + 13797 + 1494*q**3 - 185*q**3 + 270*q**3.\nAnswer: 1579*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1214, 2413, 3610, 4805, 5998, 7189?\nAnswer: 8378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6985828, -6985714, -6985600?\nAnswer: -6985486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + h = -157 + 159, 2*h + 23 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 16) to base 4\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/201385 and -20\/120831.\nAnswer: 604155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -48512 and -48499 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.093 and 13597.\nAnswer: 13596.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 24, 6, -12, -30?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbkbbbbkb. What is prob of sequence bkb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {z: 1, v: 2, o: 2, m: 1, s: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 332*m - 3153. Let k be b(-10). Solve k*c - 78 - 257 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*w**4 - 3\/2*w**2 - 7\/4*w**3 + 8 + 8*w.\nAnswer: -(w - 2)*(w + 1)*(w + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*0\/8. Let q be (3\/(-2))\/(9\/(-24)). Solve 4*c + m*c = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = -4*i, 6*i - 7*i = 3*y - 8. Solve 16*a + 11 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 5 + 69*f**2.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g\/(g\/((g\/(g**(-3)\/g))\/g))*g**(-1)*g**(-6)*g)\/((g\/(g**(-2\/7)*g)*g)**15\/(g\/(g\/g**(-1)))**(-10\/9)) assuming g is positive.\nAnswer: g**(-1250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4247205 and 24720?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let p be (-1)\/5 + 19\/570. What is the nearest to k in p, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(38) + sqrt(3800) + sqrt(3800)*-1))\/(2*sqrt(32) + sqrt(32) + sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 14. Let p be d(-6). Suppose 2*t - 5*f + 15 = 4, -5*t + 13 = f. Sort p, -5, t in decreasing order.\nAnswer: t, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 965*b**3 + b**2 + 22*b**2 - 116*b**3.\nAnswer: 849*b**3 + 23*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -s - r, -50 = -s + r - 265. Calculate the least common multiple of 22 and (-14)\/63 - s\/18.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 16 + 2*z**2 - 350*z - 18 + 9*z**2.\nAnswer: 12*z**2 - 350*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -64. Suppose 0 = d + 13 + 9. Let f = s + d. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1519 and 47\/4664065.\nAnswer: 144586015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 28\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 400 + 12032143?\nAnswer: 12033043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjaj when four letters picked without replacement from {v: 3, a: 2, j: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(50)\/(sqrt(10)*2*5)*4)**2 + -1*(sqrt(405) + sqrt(405)*1)**2 + -4 + -1*sqrt(405) + sqrt(405) + -4.\nAnswer: -8146\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-10))\/(-26 - (1 - 548\/20)). Let -7\/4*w - 9\/8*w**2 + 0 + 13\/8*w**y + 1\/8*w**5 + 9\/8*w**4 = 0. Calculate w.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/19820 and -1\/1982?\nAnswer: 19820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*o + 10 = 0, -37*o + 38 = 2*w - 43*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 18*t + 4. Let i be v(-5). Let g(y) = -y**2 - 14*y + 2. Let q be g(i). Let p = -4 + q. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*a + 468 = -633*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/28405 - 5684\/28405. Put 2, d, 2\/3, -81 in descending order.\nAnswer: 2, 2\/3, d, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22009, -176721, -596657, -1414429, -2762649, -4773929, -7580881?\nAnswer: -11316117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 2. Let x be 5*1\/10*-4. Let k be t(x). Suppose -5*g - 5*r = 0, -3*g + 45 = g - 5*r. Solve 0 = k*c - 3*b + 15, -4*b = -c - 3*b - g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) 1\/3 (c) -3\/13 (d) -3\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43953496 divided by -3.\nAnswer: 43953496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {x: 4, b: 1, n: 1, c: 8, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 19 - (6 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 46*r - r**2 - 5 + 3*r**2 - 38*r - 32*r**2. Let l(c) = -c**2 + 2*c - 1. Let h(x) = g(x) - 5*l(x). Let k(o) = -4*o. Calculate k(h(b)).\nAnswer: 100*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 1122*v - 21168 = 0. Calculate v.\nAnswer: -18, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/17489011 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -1127931.\nAnswer: -89\/1127931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 6 - 4. Let f be (-1 + s - -49) + -8 + 6. Let a = -40 + f. Let y(i) = -i**3 + 9*i**2 - 6*i - 8. Give y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*f = 45*f - 809*f - 10008 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5, 5*m + 15 = -c - 29. Let w be m\/1179*((-16)\/(-4) - 12). Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, n: 2, q: 2}. What is prob of picking 1 b and 1 n?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -383.17 + 380. Let z = c - -1.17. Sort 0.3, -22, z in decreasing order.\nAnswer: 0.3, z, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -8.6952.\nAnswer: -52.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2*p = 32. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 19*t + 226. What is the least common multiple of 466 and p(-27)?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:12 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*u - 3, -3*u + 3 = -0*s + 2*s. Let p = 10 + s. Let c(k) = -k**3 + 3*k**3 + p - k**3 - 2*k**3. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 1\/4, 192, -2, 27.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011021 + 100212?\nAnswer: 10112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in -1\/2, -0.2, -2, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 232, 507, 892?\n\"Answer: 55*y**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 977, 0 in descending order.\nAnswer: 977, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -2. Suppose -z = -2*c + c - m, c - m - 16 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 49*x + 9. Let l(f) = -20*f - 7. Let y(d) = 14*l(d) + 6*q(d). Calculate y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1669*s**2*y**2 - 6*s**2*y + 11*s + y wrt y.\nAnswer: -3338*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 8) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/t*t**1*t*t**(2\/73)*t**14 assuming t is positive.\nAnswer: t**(1608\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 132957, -24, -5 in ascending order.\nAnswer: -24, -5, 132957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -83.8. Sort b, -6, -1\/6, -1\/9 in descending order.\nAnswer: b, -1\/9, -1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 637 + 207. Do 43 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/97152 and 127\/389904.\nAnswer: 789165696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 1, 17\/3, -4, 19, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 601179727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -57. Let b be ((-4)\/r)\/(-3*24\/(-180)). Solve -b*k - 4 + 7 = d, 0 = -3*d + 3*k - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 807 and 1684209?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -95*q + 79. What is the tens digit of j(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89764.33 milligrams to kilograms.\nAnswer: 0.08976433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -w + 4*g - 60, -15 = 3*w - 3*g for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = 0, 0 = 5*z + 4*p + 4 - 72. Suppose -c + 13 = -z. Let a = c + -12. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-3) + (1 - 3). Let n be 2\/s - 28\/(-9). Suppose -n*x + 130 = 2*x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495951490 divided by -10.\nAnswer: 49595149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834530101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 351132, 702186, 1053250, 1404330, 1755432, 2106562, 2457726, 2808930?\n\"Answer: v**3 - v**2 + 351050*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 26 - 14)*(7 - 5*f - 6*f + 9*f).\nAnswer: -46*f + 161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + 1)*4 + sqrt(2736) + sqrt(2736)*-2 + 2 - (3*sqrt(2299)*-1 + sqrt(2299) + sqrt(2299))*5)*-2)**2.\nAnswer: 4368*sqrt(19) + 629500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 - 30*y**2 + 22*y - 2. Give s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -908 + 976. Sort -2, -4, u, 3 in decreasing order.\nAnswer: u, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215862 is divided by 413?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.6882 centuries to millennia.\nAnswer: 68.66882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2076, -8322, -18726, -33282, -51984, -74826?\nAnswer: -101802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 188328199?\nAnswer: 188328199.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 23. Let p(y) = -8*y + 84. Let i be p(13). Let c = i + 45. Solve c = 5*q - n*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 142, -1.4, -4.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-162)\/(-8) - (-4)\/(-16). What are the prime factors of (-2)\/(-5) - (-2712)\/u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*k + 4*n, 4*n - 35 = -5*k + 8*n. Solve 5*x - 2*f - 27 = 0, -2*f + 10 + k = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7184117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.862 plus -5?\nAnswer: -4.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a5931 (base 11) to base 9.\nAnswer: 8687245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 + 2 = 0. Suppose h + l = -0. Let p = -1 + -3. Sort 0, h, p.\nAnswer: p, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Determine t, given that 3*t**2 + 3*t**5 - 2*t**2 - 3*t**4 + j*t**2 - 3*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13132311134 (base 5) to base 16.\nAnswer: -f8965b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116257231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61037.56 nanometers in meters?\nAnswer: 0.00006103756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3348 + 3352 - 6700 - 3063*d.\nAnswer: -3063*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17577.1 + 16807. Let f = c + 831. Let o = f + -61. Is -30 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/4524 and -95\/928.\nAnswer: 36192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2150\/3 - 714. Let i(g) be the first derivative of -6\/5*g**5 + 0*g**2 + 0*g**4 + 0*g - 18 + c*g**3. What is the third derivative of i(p) wrt p?\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.64 (b) 93 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*q = 896*q - 348 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6 + 1. Suppose 5*b - 3*b = -3*r + 25, -s*r = -4*b + 17. Let j(w) = w + 1. What is the smallest common multiple of 13 and j(b)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9908 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rreeeeeeree. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4270175 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 340286696 divided by 4?\nAnswer: 85071674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944 + 854 = 566*j - 628*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -127002 - -36?\nAnswer: -126966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 - 11*q**4 + 0*q**4 + (-3*q**3 + q**3 + 3*q**3)*(2*q + 1 - 1) + q**4 + 2*q**4 - 2*q**4 + 4*q**2 + 2*q**4 - 4*q**2.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 74 + 82. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -43\/8064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -509 + 830. Let d = -302 + p. Calculate the greatest common divisor of d and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = r - 4*u, 2*r - 4*u = -6. Let d be (14 + -16)\/(2\/4 + r). Solve 0*w + w + d = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100545259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**2 + 14*w + 10. Let s be v(-5). Solve 3*o = s + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107800)\/74480)\/((-11)\/4)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o + 4. Let s(k) = 13*k - 3. Let j = 884 - 880. Calculate j*s(a) + 3*w(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -396, -375, -324, -231, -84?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*v - 42*v - 35*v + (-2*v - v + 2*v)*(0 + 2 + 0) + v + 2*v - 4*v - v - 2*v - v.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23a0 + 0?\nAnswer: -23a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {h: 1, k: 2, r: 1, g: 1, u: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuguumuguguuu. Give prob of picking 1 u and 1 g.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 23. Suppose -15 = -z*p + q - 5*q, 0 = 3*p - 2*q - 9. Let l be (32\/p)\/((-12)\/(-18)). Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 12968*q - 1813526.\nAnswer: -2*(q - 6341)*(q - 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2735*((-2780)\/(-450) - (-6)\/27). Suppose 20*f = l - 4544. Is f a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*q - 1779567 - 1065789. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 0*a**4 + a**4)*((-2 + 2 - 2*a)*(4 + 1 - 4) - 2 - 2*a + 2).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(-1 + 4 - 1) + 3 - 6 + 2 - 17 - 21 + 17)*(-2*a - 2*a - 2*a).\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11240410 (base 5) to base 2.\nAnswer: -11001000011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 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: (-14)\/(-3)*(9\/(-42))\/((-9)\/(-108))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*o - 4579, -2*x = 3*o - 7299 + 433. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-3) - (6\/(-2))\/(-1). Solve 2 = 5*h - 2*a + 5*a, -5*a = w*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let s(b) = 2*b. Let m(v) = 4*g(v) - 5*s(v). Let u be ((-6)\/(72\/30))\/(1\/(-2)). Let j(t) = t + u*t - 7*t. Determine j(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -257 - -260. Solve 1 = -l - 3*o, 7 = 4*l + 5*o - p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361115.2024602 minus 1.3?\nAnswer: -361116.5024602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -189c5 (base 15) in base 12?\nAnswer: -3a24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2131222 + 12023?\nAnswer: -2113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 1 = -25. Suppose 3*b + y*g = -282, -3*g = b - 1 + 97. Let o = b - -135. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181\/203 in -0.3, 3, 0.207?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 8639?\nAnswer: -863c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*(sqrt(175) + sqrt(175)*-1) + sqrt(175)*2 + -1 + (-2 + (sqrt(175) - (-1*sqrt(175) - sqrt(175))) - 4*(-2*sqrt(175) + sqrt(175))))**2 + -4).\nAnswer: -270*sqrt(7) + 14180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1626 and -0.06.\nAnswer: 0.009756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwjjmwmpwtwwwmw. Give prob of picking 2 w and 1 p.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26.419296 hours?\nAnswer: 1.100804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -676.85 + 691. Let b = g + -0.05. Let l = 14.100071 - b. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -457, -1022, -1813, -2830, -4073?\nAnswer: -5542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h - 38. Let z be m(3). Solve -26 = z*t - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 4*f**3 - f**2 - 1 - 6*f**3. Is z(3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*v - 378 = -121*v. Sort 0, v, 4 in increasing order.\nAnswer: 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 236\/3. Let v be (-2)\/44*-4*(15 + -14). Which is the third smallest value? (a) 2\/15 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibwb. Give prob of sequence wb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 17*q**2 + 15 - 9 + 0*q**2 + 2*q**2 - 6 - 24.\nAnswer: -3*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 5)*1 - 2. Let f(m) = m**3 + 2*m**2 - 9*m - 2. Let n be f(a). What is the third derivative of -t**3 - t**3 + 4*t**3 + 2*t**3 - 5*t**n wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1\/2*x**4 + 0 - 4\/3*x**3 + 0*x - 8*x**2 - 1\/60*x**5. Does 3 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 449, 1011, 1947, 3257, 4941, 6999?\n\"Answer: 187*i**2 + i + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(513))\/sqrt(3))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.208 - -0.008. Let n = m - -5.2. Which is the closest to 0? (a) n (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 16*o**2 - 7*o + 29. What is the hundreds digit of z(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -59. Find the third derivative of 12*t**z - 14*t**2 - 16*t**2 - 36*t**4 + 16*t**2 wrt t.\nAnswer: -576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by (10 - 2)*20\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -30. Which is the smallest value? (a) -1\/2 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 200*b**2 - 6406*b - 674. Give h(-28).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 2*l + 6*l + 4 - l**2 + (0*l + 4*l - l)*(-3 - l + 3).\nAnswer: -4*l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + 0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 48*g**2 + 8276*g - 16595. Calculate o(2).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 303*o + 4125. Let j be g(0). What is the greatest common divisor of j and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.78 - -0.78. Put -2\/5, r, -5 in ascending order.\nAnswer: r, -5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*z + 4 = -z, -5*z = -10. What is the least common multiple of v and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62541, 62751, 62963, 63177, 63393, 63611, 63831?\nAnswer: 64053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-712)\/112) + (-6 - -4)\/(-4)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 - 10*n**2 + 2*n. Let c(j) = 49*j**2 - 166*j**2 - j**3 + 118*j**2. Calculate -5*c(w) - p(w).\nAnswer: w**3 + 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*y = -965*y + 16848 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 5*o + 2. Let m be v(-5). Suppose m*c - l + 0 = -2, 2*c + 10 = 5*l. Solve -k + 5*r + 5 = 0, 4*k + c*k = r + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 50 = -5*z, 2*z + 24 = 5*z - y. Suppose -12*n + 5 = -z*n. What is the tens digit of (-9)\/(n + 2) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u + 6. Let b(m) = 6*m**2 - 9*m - 5. Let g be b(-3). Let d = 79 - g. Let l be o(d). Solve 4*w - 4 = -l*c, 0*c + 2*c = 4*w - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z**4 - 65*z**3\/3 - z**2 + 5*z + 14. Find the second derivative of h(j) wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, v: 1, q: 5, e: 7}. What is prob of picking 3 e?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56959534 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*l**4 - 248*l**4 + 20*l**4 + l**4 + l**4 - 3*l**4 + (4*l - l - 4*l)*(2*l**3 + l**2 - l**2) - 1 + 1 - 2*l**4 - l**4 - 2*l**4 + 2*l**4.\nAnswer: -250*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - 5. What is t in 4*t - t + 0*t + r*t**3 - 6*t**3 + 2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348346881.\nAnswer: 3, 17, 1109, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*r + 10*i**3*w**2 + i**3 + 8*i**2*r*w**2 + 4*i*r*w**2 wrt i.\nAnswer: -6*r + 60*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/(-340))\/((-28)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 4*-2*sqrt(187))\/(sqrt(11) - -2*sqrt(176)).\nAnswer: -7*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144.1 - 155. Which is greater: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -23)*(63\/(-35) + (-4 - -1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + u - 4. Let v be q(-2). Sort -3, v, 0 in increasing order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 659.3286 litres?\nAnswer: 659328.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -128*o + 5752. Let c be w(45). Let n(b) = -b**3 - 7*b**2 + 12*b + 1. Calculate n(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3425 - n**2 - 3277 + 3*n - 3*n in the form s + j*n + u*n**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264*t**3 + 4 - 519*t**3 + 282*t**3 - t**2 wrt t?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1478, 44\/7, 0.07.\nAnswer: 0.07, 0.1478, 44\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271393 - -292630. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 36, 19, 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 3*h - 2. Suppose -20 = 2*u - 7*u + 5*i, 5*i = 2*u - 11. Calculate k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/24)\/4)\/(10\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p*t**2*z + 10*p*t**2 + p*t*z + p*z**2 - 5*t**3*z**4 + 5*t**3*z - t**2*z + 14*z**5 wrt z?\nAnswer: 2*p - 60*t**3*z**2 + 280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 826631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmvhmvmh. What is prob of picking 1 m and 1 h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) 3 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5025 = -11*r + 5003. What is the closest to 2\/7 in -1, r, -29, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46401*-0.4347\nAnswer: -20170.5147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 78*z + 2028 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -3, 1, -5, 246 in descending order.\nAnswer: 246, 1, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-2 - 1) + 1 + (-9 - (-43 + 33)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222 - -229. Let p(o) = -10*o. Let t(k) = -12*k. Let u(b) = j*p(b) - 6*t(b). Let m(h) = 16*h. What is u(m(a))?\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (769*a - 769*a + 23*a**3)*(0*a + a + a).\nAnswer: 46*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867365423 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2021 - -4214?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*r + 2649 = 0, -4*v - 2*r - 2125 = -11*r. Which is greater: -2638\/5 or v?\nAnswer: -2638\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h + 60*h = -3094. Calculate the highest common divisor of 78 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - 29*a + 519. What is j(-15)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 221 = -22*m. Suppose m*w - 11*w - 740 = 0. Suppose 0*l + w = 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 286407718.\nAnswer: -143203859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -7*i - 72. Let u = i - -14. Solve 2 = 2*f + 3*q - 15, -f + 2*q - u = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -210900.71\nAnswer: -63270.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54560776 divided by -5.\nAnswer: 54560776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34325 is divided by 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/73 (b) -2\/9 (c) -2 (d) 4 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.923239 rounded to 1 decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1277201, 2554403, 3831605, 5108807, 6386009?\n\"Answer: 1277202*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156343 = -2462*r - 97243 for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 460, 280, 66, -194, -512, -900?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 14. Sort i, 1, 4, 0.\nAnswer: 0, 1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -74. Let n be 1\/4 - (h\/(-48) + 2). Which is the nearest to n? (a) -0.1 (b) -2\/17 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:51 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(372\/(-558))*(-54)\/(-60)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30)*(-90)\/(-21).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 13}. What is prob of picking 1 o and 1 v?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27669121 - 127*r + 27669121 + 126*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**2*y - 23548*p**2*z + 4*p*z - 37*y + 197*z wrt p.\nAnswer: 8*y - 47096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52 - (2 - 0) - 2. Calculate the highest common divisor of 32 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/68480 and 37\/59920.\nAnswer: 479360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -2, -16\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*l + 10 = 0, 5*m + 4*l - 8*l - 8 = 0. Let n be (6\/4)\/(21\/56). What is the greatest common divisor of m and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.85 - -54.85. What is the closest to -1 in -4, s, 4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n*((n\/(n\/n**0)*n)\/n)\/n)*n)**(-19) assuming n is positive.\nAnswer: n**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2719 or -2720?\nAnswer: -2719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*g - 5 = 0, -2*r - 2*g = -6*r + 6. Suppose -2*a = 2*q - 12, -r*a - 3*q = -3 - 8. Calculate the highest common factor of a and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + -233?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -448 + 448.5. Let a = 2.06 - 0.06. Let q = -1 - a. What is the closest to -1\/3 in 2\/21, d, q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3) + (3*sqrt(27))\/sqrt(9) - (1 + sqrt(3))*3*1)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 359, 383, 457, 581, 755?\n\"Answer: 25*x**2 - 51*x + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0 (c) 1\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(48) + sqrt(192)\/sqrt(4).\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75571550 * -2.\nAnswer: -151143100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44665 is divided by 22285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115.688? (a) 2\/11 (b) -0.5 (c) 0.3 (d) 1 (e) 2\/5 (f) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 30. Let i be n(8). Find the second derivative of -1 + 48*m**2 - 37*m - 25*m**2 + 6*m**2 + 7*m + i*m**2 wrt m.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*(1690\/(-48503))\/(15\/21)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80142740 divided by -740.\nAnswer: 108301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 89*z - 4. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 27*k**2 + 9*k - 75. Let p be ((-5)\/3)\/((-16)\/48). List the prime factors of o(p).\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/702 and 179\/2574?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-4*u**2 + 0*u**2 + 3*u**2)*(0 - 6 + 4) to the form k*u + f*u**2 + w and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -88.677 - -45555\nAnswer: 45466.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(4*(3 + sqrt(612) + -1)**2 + -3*(sqrt(612) + 1) + sqrt(612) + 3).\nAnswer: -29568 - 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 114*i + 1346. Calculate the least common multiple of x(-5) and 582.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3402 + -130314?\nAnswer: -121412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 3*g**2 + 5*g - 6. What is the remainder when w(4) is divided by ((-3)\/2)\/(9\/(-66))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1206959776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 15*n - 80. What is v(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27552252 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 5*j**2 - 64*j + 260. Let d be x(9). Solve -19 - 21 = d*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2 + n - 3*n - 18 - 7. Let f be d(-10). Let z(m) = -2*m**2 - m - 4. Calculate z(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -43, -0.5, 2\/23, -0.3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 141960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 43. Let d be b(18). Let s be 0 - (11 - d)\/(2*-1). Put 1, -9, s, -5 in decreasing order.\nAnswer: s, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4) + (2 - 0 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 441047966 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3147 rounded to 1 decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 54058\nAnswer: 54055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/357 - 2668\/(-8211). Let m = -7 + 5. Which is the closest to v? (a) 15 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239978, -479955, -719906, -959819, -1199682, -1439483, -1679210?\nAnswer: -1918851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190536\/2305225 + -3\/7093. Find the common denominator of b and -23\/425.\nAnswer: 5525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 5*y**2 - 2*y**2 + (-1 + y + 1)*(-67778 + 523*y + 67778).\nAnswer: 525*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgugggddgddoddgg. Give prob of sequence oggu.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + w - 37, 2*w - 14 = 3*x - 4*x. Let d = -6 - -10. Suppose 3*p + 56 - 65 = 0, -2*i + 4*p - 4 = 0. Solve -x = -d*y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a factor of 7757484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5069200 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + (-85)\/(-20). Let i = 1 + q. Suppose u - 165 = -i*k, 3*k - 27 = 5*u + 72. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*(1\/1)\/((-46)\/(-138)*-21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**3\/51 - 10*w**2\/17 - 50*w\/17 + 11. Determine q so that x(q) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27100 and 8130.\nAnswer: 81300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*x + 91 + 45*x - 89 as a*x + v and give a.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1 - -3))\/((-10)\/(-4)). Which is the closest to 0? (a) 1 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8454*x**2 - 135012*x + 70. Give y(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 5. Let x(q) = -581*q - 6 + 3 + 585*q. Give 3*s(v) + 5*x(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103490 and 4025840?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -45*j + 42*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1250) - (sqrt(350) + sqrt(350)*2 + sqrt(350))\/sqrt(7))*-4)\/(sqrt(1210) + -4*sqrt(1210)*-2 - sqrt(1210)*-1*2).\nAnswer: -64*sqrt(5)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 150 - 386 + 120 + 116.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*j**4 - 329*j**4 + 692*j**4)*(2*j - 4*j - 1 + 3)*(1 + 0 + 1).\nAnswer: -180*j**5 + 180*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + m + 32. Solve -2*w + 4*r - 6 = 0, m*r - 7 + 0 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 + 212*p**4 + 3*p**2 + 49*p?\nAnswer: -240*p**3 + 5088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 7*t**6\/120 - t**5\/20 - t**4\/8 + t**3\/6 - 17*t**2. What is the units digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307756 is divided by 636.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-56))\/(3\/((-168)\/328)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -436.1?\nAnswer: -436.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5\/2 - 10*b**4 + 145*b**3\/2 - 60*b**2 = 0. What is b?\nAnswer: -8, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/60)\/(506\/255 - 2). What is the second biggest value in 1\/2, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3 = t + 8, -3*t = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let y be f(-3). Let a = -1565 - -907. Let n = -625 - a. Sort y, n, 0 in descending order.\nAnswer: n, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2930 divided by -5.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845*-0.5.\nAnswer: -422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1468, 6, 5 in ascending order.\nAnswer: 5, 6, 1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 3*p - 25. Let m = -2333 - -2333. Calculate a(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-816)\/(-306)*42\/(-3080))\/(1\/30*2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 3 + 375)*(0 + 1 - 2 + j).\nAnswer: 445*j - 445","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.164354 weeks in milliseconds?\nAnswer: 3728201299.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*s + 60, 0*s = 3*l + 3*s + 60. What are the prime factors of (-12)\/l + 2474\/8?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 13) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 4. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10223 is divided by 180?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 52. Let v = 2 - -1. Let w = v - -1. Sort w, -2\/7, z in descending order.\nAnswer: w, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1 = -5, 4*i = y + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -300c (base 13) to base 15\nAnswer: -1e53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 16573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**10\/30240 + k**9\/15120 + 7*k**4\/12 + 52*k. Let b(h) be the third derivative of z(h). Factor b(u).\nAnswer: -u**4*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-217)*93)\/(-1*(-104)\/4).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527204574?\nAnswer: 2, 3, 13, 23, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -380*w + 65745. Determine t(173).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22100202 (base 3) to base 9\nAnswer: -8322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 3*z - 12. What is the remainder when 153 is divided by j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1698*k - 1699*k + 13 - 13.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-21)*28\/(-8). Suppose p = -r*g - 1, -3*g + 10 = 3*p - 7*g. Solve -4*t + 2*d = -p, -3*d = -t + 5*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17620*u - 46 = -17621*u for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**2 - 9*p. Let j(l) = 3*l**2 + 2*l. Let g(o) = -2*a(o) - 9*j(o). Let k(x) = 68*x - 68*x - 2*x**2. Let i = 6 + -13. Determine i*k(w) + 4*g(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23244091 is divided by 566928.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-4)\/40 - (-836)\/(-90). Let n = -74\/9 - x. Sort n, 3\/7, -2\/3, 3.\nAnswer: -2\/3, 3\/7, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {j: 4, r: 3, o: 4, q: 2, w: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/132*(-52742)\/(-15). Suppose -10506 = -13*x + 8526. Let c = x + y. Find the common denominator of c and -17\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let d(a) be the third derivative of a**4\/12 - a**3\/6 - 35*a**2. Give n(d(t)).\nAnswer: 8*t**2 - 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - y**2 + (3 - 3 + y)*(-2*y + 2 - 2))*(y**2 + y**2 + 0*y**2 - 2*y).\nAnswer: -6*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c + 22 = 0. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 1\/3*o**3 + 9*o + 5 - o**2. Let s(r) be the first derivative of q(r). Determine s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -7\/480*l**6 + 0 + 1\/420*l**7 + 0*l**3 - 1\/48*l**4 + 7\/240*l**5 + 0*l - l**2. Factor m(p).\nAnswer: p*(p - 2)*(p - 1)*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/2*(-48)\/18. Let t(o) = o**2 - 12*o. Let d be t(u). Suppose 145 = 4*s - j - 267, d = 2*s + 5*j - 206. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 2. Let x be h(-5). Suppose -2*p - z = x, -5*p + 0*z - 4 = -z. Let u = 0 + p. Which is smaller: u or 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.4 + 23. Let c = -24.9 - k. What is c rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6061*m - 44296 - 1284 - 19652 - 13561 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 - (-5 + 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(176) + -1 + -1 + sqrt(176) + 4)*5 - ((-4*-1*sqrt(176) + sqrt(176) - (0 + (sqrt(176)*-2 - sqrt(176)))) + 3))**2.\nAnswer: 5152*sqrt(11) + 138513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1538 by -259900.\nAnswer: -769\/129950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13576594108 and 240?\nAnswer: 13576593868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/17 - 39\/85. Is x at most as big as -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 2511*g**3 - 2509*g**2 - 2511*g + 2510.\nAnswer: -(g - 2510)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1647\/(-3) - -1) + -4. Let o = 959 + l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.48*14611\nAnswer: -7013.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/77 and 18\/511.\nAnswer: 5621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 3*s - 2*s - 3 + 29 to the form n + f*s and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*d + 3*k, 3*d - 1146*k = -1151*k - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 19. Which is the closest to p? (a) 5 (b) -3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1803\/299 - -6487777\/568698. Let c = x + -18\/1585. Calculate the common denominator of 28\/27 and c.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y - 4. What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.9445 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tavmvaavvam. Give prob of picking 1 v and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 8*n + 7. Let p be q(11). Suppose 5*k + 5*x - p = 0, 2*k + 3*x - 4 - 10 = 0. Let d be 3 + -4 + k\/8. What is the smallest value in d, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269296475.\nAnswer: 5, 7, 1538837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:33 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 162. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Let o(c) = -c**3 - 4*c**2 + 7*c + 1. Suppose 14 = -l - 3*q, l = -q + 5*q + 21. Let k(m) = l*o(m) - r(m). Give k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16402\/11 + 1491. What is the third biggest value in -3\/28, c, 0.5?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 462?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256.99 - -257. Put z, 2\/9, -0.7 in increasing order.\nAnswer: -0.7, z, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 14. Suppose 0 = 2*r - 5 - 1. Suppose -z + 2*i + 26 = 2*z, 2*z - r*i = 9. List the prime factors of a(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26864804.\nAnswer: 2, 6716201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 - 42 = -4*o. Let c = 104 + o. Let u = c + -30. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + 0 + -3 - sqrt(98)) + (sqrt(98) + 1)*-5)**2 + 1 + -3*(sqrt(98) - (sqrt(98)*2*5)**2)*1)*-2.\nAnswer: -63830 - 1078*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4.9 (b) 0.1 (c) 1\/16 (d) -1\/646 (e) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 1230*s - 15145.\nAnswer: -5*(s + 13)*(s + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -53345.\nAnswer: -53344.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6815125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18*n - 14200 = 23*n, -i + 4*n = -7094. What are the prime factors of i?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0534 - 9.6566. Let z = 9.710858 + w. Round z to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 29, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 46676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1003492 times 13.1\nAnswer: 13145745.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -228, -760, -1796, -3504, -6052, -9608, -14340?\nAnswer: -20416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2a?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 0 = -0. Solve b = 11*f - 7*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**2*x*z**4 + 3*r**2*x*z - 13*x*z**4 + 16*x - z**2 wrt z.\nAnswer: -168*r**2*x*z - 312*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 1 = 3*i, -1190*u + 3*i + 7 = -1186*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((75144\/(-112716))\/(3\/((-18)\/88)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/30 + (-2)\/9. Let n = 1 - 1.4. Let s = -23.6 - -24. What is the second smallest value in x, s, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64500992 + -3611816067\/56. Let h = -4278 + l. Find the common denominator of h and 27.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2a22 + -5?\nAnswer: 1b2a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + -1.29. Let z = -0.61 - a. What is the closest to z in -2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19254 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = -2. Let o = -1 + k. Suppose -9 = 38*c + 29. Put c, -3, o in decreasing order.\nAnswer: o, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4231497?\nAnswer: 3, 1410499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306462 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1595663234 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.05 (c) -1721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1027.7 + -1028. What is the third smallest value in 5, t, 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - o + 111, -20*o + 23*o = 4*t - 99. Calculate the remainder when ((-212)\/(-6))\/(2\/6) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744008 is divided by 1607.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 188, 340, 494?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -24. Suppose -3*q + 430 = -r*q. What is q rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133761 and -59.\nAnswer: 7891899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2599001 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -159*v - 71. Let f be u(1). Suppose 0 = g + g - 972. Let x = f + g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -16665120513?\nAnswer: 16665120542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:02 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2 = -10, -3*o = -x + 2 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(2\/13))\/v*v*(v\/(v\/(v\/(v\/v**(14\/3))))*v)\/v)\/(v**13*v**(-2\/19)) assuming v is positive.\nAnswer: v**(-4501\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**3*y**2 + 203*c**3 + 180*c**2 + 1177*c*y**3 - 4*c + 2 wrt y.\nAnswer: 22*c**3*y + 3531*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (2 - 0) - -19) + -8 + 2 + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.5 (b) 23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/8)\/u)\/(u\/(u**(-2)*u)*u))\/(((u\/(u*u**(-2\/15)))\/u)\/u*u*u\/u**3)*((u*u**0*u)\/u)**(-4\/27)\/((u*u**(-2\/15))\/(u\/(u**(-1\/4)*u))) assuming u is positive.\nAnswer: u**(-383\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-35) + (-6)\/(-40))\/1. Let w = 4\/11 + -23\/33. Which is the closest to -1\/3? (a) w (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60487881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14506488 and 46104.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 247 + 247 - 74*f.\nAnswer: -81*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 + 11. Let s = -14 - -24. Let a be 4\/10 - s\/25. Determine m(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmy when three letters picked without replacement from mooocyycco?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 + 526 + 1857*x**2 - 301.\nAnswer: 1857*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -806 in 82, -0.3, 4, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/18)*q))\/q**(-3)*q**(-17\/2)\/(q\/(q*q**(-1\/3))) assuming q is positive.\nAnswer: q**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -35*r**3 + 4*r**2 - 17*r - 4. Let h(u) = 36*u**3 - 5*u**2 + 20*u + 5. Give 4*h(x) + 5*o(x).\nAnswer: -31*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a954 (base 15) to base 16.\nAnswer: -125065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/224*(-28)\/(-174))\/((-76)\/171).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.5302051 rounded to 2 decimal places?\nAnswer: -23.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 1. Let w be (-9)\/(-4)*16\/3. Let g = -8 + w. Let j(p) be the second derivative of -5*p**3\/6 + p**2 + 5*p. Determine g*j(h) + 9*l(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 49. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -40.64058, 0 in ascending order.\nAnswer: -40.64058, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 7*r - 9 - 20 + 7*r + r.\nAnswer: 15*r - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 39, 20, -17, -78?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4266097 and -15761041?\nAnswer: 15761042.4266097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 117.6505?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + d = -29, p - 4 - 1 = 5*d. Suppose 915 = -p*y + 2605. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - (0 - 3)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + ((-24 - -28) + -11 + 4 - (-15 + 126))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1 - 6 - t - 4 + 2. Let w be k(-2). Sort 3, w, 1 in decreasing order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:34 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 - 3*j - 1. Let q(s) = 5*s**2 - 2*s - 1. Let z(m) = -2*m - 12. Let x be z(-5). Let l = x + -3. Calculate l*q(h) + 3*u(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Let k(z) = 5*z - 2. What is the lowest common multiple of k(j) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3672.184 decades to years.\nAnswer: 36721.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2528 + -2481. Solve -25 = -12*w + u for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, -1649, -2418, -3151?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-2 + sqrt(32)).\nAnswer: -12 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359240 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, 0 = -3*c - l - 1 + 37. Let f = -2 - -5. Suppose 0 = -5*d + f + c. What is the smallest common multiple of 2 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:04 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -26 + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2 - 6642662*s + 11031239611561 = 0.\nAnswer: 3321331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m + 5. List the prime factors of v(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*i**3*l + 68662*c*i**3 + 2*c*i**2 - 5275*c*l - 18*c - 2*i**3*l wrt i?\nAnswer: 6*c*l + 411972*c - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -198 and -0.094.\nAnswer: 18.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -222976, -222860, -222748, -222640, -222536?\n\"Answer: -2*x**2 + 122*x - 223096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/((-34983)\/130) + (-10 - (-31)\/3)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -8 + 2. Let t be (-3)\/(30\/(-28)) - b\/5. Solve y - 10 = t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -36. Let b(t) = 2*t + 22. Let a be b(-9). Sort a, 0, p, 2 in ascending order.\nAnswer: 0, 2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0 (b) -3\/4 (c) -4 (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**2 + 144*y + 810. Let n(o) = -3*o**2 + 32*o + 203. Determine -4*j(c) + 18*n(c).\nAnswer: -2*c**2 + 414","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 8. Sort a, -5, -4\/5 in increasing order.\nAnswer: -5, -4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -870*r - 6087. What is q(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 94273724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/7)*w)**3*(w**(-4\/9))**(-2\/47) assuming w is positive.\nAnswer: w**(21629\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:32 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**5\/6 + 170*g**4 - 17335*g**3\/2 - 1525*g**2\/3 + 25670*g + 17340 = 0.\nAnswer: -1, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -8, -2, -4.\nAnswer: -8, -4, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.289943g to nanograms.\nAnswer: 4289943000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2965 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*p - 50 = 14, 0 = -2*g + 5*p - 55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2044\/(-98)*(-1 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380767832 to the nearest integer?\nAnswer: 19513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0 + -27 + 25\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7265 and 0.0294 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 - 17\/50*x**5 + 0*x**2 - 6*x - 4\/15*x**3 + 1\/15*x**6 + 8\/15*x**4. Let o(h) = 0. Calculate h.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 88 = 3*t. What is the lowest common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 320*o + 7408. Calculate c(-23).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 42976, 0, -2, 4 in ascending order.\nAnswer: -2, 0, 3, 4, 42976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/462*(-43)\/(2580\/(-55)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 5) to base 6\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/72 and 23\/42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13317 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6051 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193*a*b**2*i - 9*a*b**2 + 14214*a*b*i + a*b - 97*b**2*i + 65*b*i wrt b.\nAnswer: 386*a*i - 18*a - 194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 191*k = 196*k - 81, 4*k - 27 = -i. Suppose 0 = t + 1. Let a(b) = b. Let j be a(3). Sort 2, i, t, j in ascending order.\nAnswer: i, t, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068489.86 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2029*j = 80283 + 102327 for j.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, p: 4}. What is prob of picking 1 p and 2 g?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46529 or -46551?\nAnswer: -46529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 71*w - 65*w. Let j = w - 25. Suppose -3*h - 2*f - j = -601, -3*h + 522 = 3*f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289478164.\nAnswer: 2, 641, 112901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-0.74\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 95 = -6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 8, 1 in descending order.\nAnswer: 8, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 4*k**4 - k**4 + (-k**2 - k**2 + k**2)*(2*k**2 - k**2 + k**2) + 3*k**4 + k**4 - 2*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/33, 40, -15?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 - 1151593*o\/9 + 959665\/3 = 0 for o.\nAnswer: -575799, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3374378 milligrams to grams.\nAnswer: 0.0003374378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (22 + -20) - (0 + -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 36 = -64*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116457.\nAnswer: 7, 47, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 11*l - 1. What is v(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429719 = -28*u + 476165. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8629\/7 + 1233. What is the second biggest value in m, -2, -3, -4.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**8\/336 + z**6\/30 - z**3 - 9. Let v(f) be the third derivative of t(f). Find the third derivative of v(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -64. Is 1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = -2*f - 4*c, 5*f + c = 44. Calculate the highest common divisor of 711 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -763.2 - -761. What is the second biggest value in 1\/3, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 4*k**3 + 65*k**2 - 5*k. What is the units digit of f(34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*j**3 + 45*j**3 - 2*j**4 + 43*j**3 - j**2 + 2*j + 2 to y*j + k*j**3 + h*j**2 + d + f*j**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*z + 2*z. Let m be (0\/(-1) - 0) + -16. Let c be (-4)\/z*56\/m. Solve x = 3 + c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037754544 rounded to 5 decimal places?\nAnswer: 0.03775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w - 6. Let m(c) = c + 1. Let s(b) = d(b) + 6*m(b). Let x(l) = -l - 2. Let a(i) = -9*i - 6. Let h(o) = -2*a(o) + 6*x(o). Determine h(s(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -8*b + 24. Solve 0*u - b*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:28 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 2. Let f be c(-7). Find the second derivative of -14*r - 2*r**4 + 0*r**4 + f*r wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/1101, -4 in decreasing order.\nAnswer: 5, -2\/1101, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -85799, 1, -4, 0 in increasing order.\nAnswer: -85799, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 6:44 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1069041.47 and 517.\nAnswer: -1068524.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = 2*n. Let h = -1 - n. What is the remainder when (-9)\/(-15) + (-4 - 108\/(-20)) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-2) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4\/3 - 4045*d**3 - 3272405*d**2 - 2647375645*d\/3 = 0 for d.\nAnswer: -809, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 3660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/46)\/((13662\/184)\/(-99))\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.7 (c) -3 (d) -0.067 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*g**2\/7 - 203692*g\/7 + 152760\/7 = 0. Calculate g.\nAnswer: 3\/4, 12730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:51 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*n = 2, -2*n = x + 3*n - 9. Sort 18, 0, x in ascending order.\nAnswer: x, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12 and 16\/457.\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 626*g**4 + 25*g**2 - 953*g + 83477256.\nAnswer: 2504*g**3 + 50*g - 953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-803)\/(-584))\/(9\/(-216))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 125760828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1304.82 to the nearest 10.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001320 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -7\/53, 2\/9, -2, 1\/7, 1.2 in descending order.\nAnswer: 1.2, 2\/9, 1\/7, -7\/53, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**3 - 2*l**2 - 4*l + 1. Let g(s) = -s**3 - s. Determine 2*g(a) - i(a).\nAnswer: 5*a**3 + 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -21 - 2 - 40.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:25 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 - 0.162?\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 107*j**2 - 204*j + 13923. What is f(54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69, 464, 1539, 3636, 7097, 12264, 19479, 29084?\n\"Answer: 57*z**3 - 2*z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74\/35 - -12\/5. Let h = 13317.1 + -13317. What is the nearest to k in h, -5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 44 = p. Suppose -s = -4*b - 11, s - p = -6*b + 4*b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 368*d + 3878. Determine r(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = 41. Let x = r - 5. Suppose 3*m + 0 = x. Calculate the lowest common multiple of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/540 + c**5\/135 - 7*c**4\/108 + 4*c**3\/27 + 88*c**2 - 1. Let d(h) = 0. What is h?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98977, 98962, 98947, 98932, 98917, 98902?\n\"Answer: -15*h + 98992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and -11.08?\nAnswer: 0.43212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*s = -140*s + 635. Let m = s - -129. Sort m, -3, 0, -0.1 in ascending order.\nAnswer: -3, -0.1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 1. Suppose -n = 3*f + 1, 2*n - 3*f + 13 = 2. Let a be p(n). Suppose a + 13 = 2*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/(-2)*(-49)\/5*(-228)\/(-266). What is the greatest common factor of 6125 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4234*v + 2744*v + 2180*v.\nAnswer: 9158*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47 + 68 + 20*u - 204 + 5*u**2 + 64.\nAnswer: 5*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/20 + -3)\/(4\/60). Let g(d) = -d + 18. Let i be g(n). Calculate the greatest common divisor of 240 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12457, -12419, -12367, -12301, -12221, -12127, -12019?\nAnswer: -11897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -341125356 divided by -76934?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 168*i + 340.\nAnswer: -(i - 170)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1008)*-5)\/(((-1*sqrt(396))\/sqrt(11))\/sqrt(4)))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {a: 5, o: 3, h: 9, u: 2}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.484 rounded to one decimal place?\nAnswer: 52.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18500 by -4625.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4122 + 200?\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 6. Let a be l(7). Suppose 13*i = 50 - a. Let w(x) = x - 3. Let u(j) = -2*j + 5. Let g(q) = 6*u(q) + 11*w(q). Give g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 240036, 480064, 720092, 960120, 1200148, 1440176?\n\"Answer: 240028*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 21*v - 20*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -6, -0.1, -0.2, 0.056?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 26*v**2 - 3*v - 46. Let b be s(-26). What is the greatest common divisor of b and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -20\/763 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 - 2900*m**2\/7 - 106136*m\/7 - 200640\/7.\nAnswer: 4*(m - 760)*(m + 2)*(m + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -24\/5*l + 2\/5*l**5 + 0 + 86\/15*l**4 - 58\/5*l**2 + 154\/15*l**3 = 0?\nAnswer: -12, -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/(25\/550).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkxx. What is prob of picking 3 k?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 0 = 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94, -674, -1288, -1936, -2618, -3334?\n\"Answer: -17*r**2 - 529*r + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 92*r**2.\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -42259661475435?\nAnswer: -42259661475433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2713*a**2*d - 24115*a*d*j + 391592207*d*j wrt a?\nAnswer: 5426*a*d - 24115*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 3*w**3 - w**3)*(1 - 3 + 1) + 59*w**3 + 28*w**3 - 24*w**3 + (0 - w**2 + 0)*(-w + 2 - 2) + 3*w**3 - 3*w**3 + w**3 + 0*w**3 + 3*w**3 + w**3.\nAnswer: 68*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124697\/22 + -5669. Let k = -2\/21285 - 172643\/21285. Calculate the common denominator of k and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4039 (b) 1.1 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121.9 and -0.07.\nAnswer: -8.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 1. Let d(t) = 16*t. Let w(m) = 3*c(m) - d(m). Let u be w(-5). Suppose 4*y + u = 3*k, -k + 2*y = -3*y - 38. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 7*x**2 + 9*x + 18. Let w be b(-6). What is the second derivative of -8*r + r**4 - 96*r**2 + 1 + 148*r**2 + w*r**4 wrt r?\nAnswer: 12*r**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 336\/98 + (-3)\/7. Find the first derivative of 8*l**3 - j*l - l + 4*l - 4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 2*25540\/8. Round a to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 - 2*f**2 + 3*f + 5. Suppose -4*y = 5*l + 25 - 0, 3*l = y - 15. Let r(w) = -4 + 0*w**2 - w + w**2 + 4*w**3 + 2. What is l*r(s) - 2*v(s)?\nAnswer: -2*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 28 = -8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmi when three letters picked without replacement from mmiimrirmmmmim.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5586 and 969.\nAnswer: 94962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*b + 164*b = 207 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13631616 a multiple of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.65 - 50.55. Which is the third smallest value? (a) -5 (b) -0.0057 (c) s (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 2, r: 7, m: 8}. What is prob of picking 2 r and 2 l?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*z**4 + 1\/5*z**5 + 48\/5*z**2 + 32\/5*z**3 + 0 - 144\/5*z.\nAnswer: z*(z - 6)**2*(z - 2)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and -0.9?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5688 and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437 + -3058\/7. What is the smallest value in 0, y, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 10*p - 11. Let m be a(-8). Suppose 5*s - m*c - 412 = 468, -3*c - 354 = -2*s. What is the tens digit of s - (-10)\/25*(-4 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 87 - (1272 - 1182).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23158192 to the power of 1\/2, to the nearest integer?\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -985398 or -985399?\nAnswer: -985399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/120 - 7*d**5\/30 + d**4\/2 + 8*d**3\/3 - 4*d**2. Let h be z(13). Factor -263*p**4 + 2*p**h - 2*p**3 + 268*p**4 - 5*p**2.\nAnswer: 5*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 428, 271, 52?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 6*f - 8. Suppose -4*q - 14 = 6. Let r(g) = 3*g**2 - 4*g + 5. Let w = 36 - -34. Let o = 62 - w. Determine o*r(l) + q*s(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by -3.\nAnswer: -230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5396 - -5401. Solve v*p - 9*l + 10*l + 22 = 0, l + 10 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -t. Suppose -t*z + 69 = 5. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2622.\nAnswer: -10488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 13*x + 2. Suppose 0 = -19*n - 10*n - 319. Calculate t(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(15\/(-17)) - 2\/5. Let d(r) be the third derivative of 0*r**7 + 1\/504*r**8 + 0 + 0*r**y + 0*r**6 + 3*r**2 + 0*r**5 + 0*r + 0*r**4. Factor d(g).\nAnswer: 2*g**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 2*t = 0. Let y = 3.53 + -0.63. Let j = 3 - y. Which is the closest to -1? (a) t (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.875 rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-20))\/(-1))\/(45\/40)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3*d, 3*d - 7*d = 3*x - 7. Let i be x + 0 + (3 - 0). What is the second derivative of 5*a**3 - 43 + 43 + i*a wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21730 is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/9)\/(2\/18). Suppose -5*v = -5*d + 4*d - 15, -5*v + 3*d = -g. Suppose 0 = -4*l + 20, -3*u + l - 9 = -4*u. Solve -3*i - v*m = 12, u = -4*m - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*t = 444*t + 585*t - 319*t + 20387 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134.3 - -139. Let u = -0.3 - n. What is the second biggest value in -11, -0.4, u, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 88 = 13*x. Let c be (-6)\/(-33) + 2\/x*-53. Suppose -4*b = -c*b - 10. Sort -2, b, 3 in ascending order.\nAnswer: b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28137 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*v - 5 = 0, 2*a - 2 = v - 1. Solve a = -c - 1 + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r - 6. Let a be o(-4). Let u = a - 7. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.8 + -5.6. Let w = 0 - 1. Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 1123 + 503. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9)*(-2 - (3 + -10)). Is t bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 12, a: 6}. Give prob of picking 1 a and 1 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j\/(j*j**(-1\/6)*j))\/j)*j*j*j*j\/j**(-19))\/((j*j\/(j*(j*j**7)\/j))\/j*j\/j**(3\/10)) assuming j is positive.\nAnswer: j**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 621, 922, 1219, 1512?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*r - 66, -r + 4 = 3*o - 15. What is the smallest common multiple of r and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140732465*i**2 - 172488835 with respect to i.\nAnswer: 281464930*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387 and 12461997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300145 is divided by 153.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-0.2.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(306)\/sqrt(9))\/sqrt(2) - (-3*sqrt(1700) + sqrt(1700))) + 5.\nAnswer: 5 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 71. Let f be c(74). Suppose 5*k = 2*x + 12, 0 = 3*x + 2*x - 4*k + 13. Let s be ((1 - 8) + f)*x\/10. What is the closest to -1 in -4\/7, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-34)\/(p\/(p**(-18\/7)*p)))\/(p\/(p\/(p*p*p\/p**(-28)*p)))**(-1\/3))**22 assuming p is positive.\nAnswer: p**(-11968\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21850*y**3 + 2*y**2 + 9*y + 6. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221292 * -3.253\nAnswer: 719862.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -824 at most -824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494*l**2 + 570*l**2 + 7684*l**2.\nAnswer: 6760*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60 - 70\/3*b**3 + 305\/3*b**2 + 5\/3*b**4 - 140*b.\nAnswer: 5*(b - 6)**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46444259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {c: 3, d: 2, f: 6, t: 1, j: 2, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*p + 18*r - 13*r + 69, -p - r + 37 = 0 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 + 4*j. What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + 375\/258. Let x = -2\/43 - o. What is the nearest to 0 in -0.01, x, -0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 77?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 11:25 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 58 + t - 126 - 82 + 72.\nAnswer: -6*t**2 + t - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.12, 1\/3, 62?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 61 - 32 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wjmmjmwjxkmjjmjx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10. Suppose -y - y + 278 = g. Let z = y - 78. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1634 = 4*o, -805 - 205 = -3*w + 5*o. Suppose -4*b + w = 6*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*s - 6498 = 0, -17*s + 16*s = -4*j + 8630. Which is smaller: j or 2155?\nAnswer: 2155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*k**3 + 36*k**3 + 432*k**2 + 31*k**3 as y*k**2 + d + g*k**3 + o*k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 5434548?\nAnswer: -21738192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-15 - -11) - 9) + 0 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4736763 - 1?\nAnswer: -4736764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1603 and 53\/69327231.\nAnswer: 485290617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - a - 14. Let d(o) = 11*o**3 + o**2 - o - 28. Let l(w) = 6*d(w) - 13*r(w). Let g be l(-4). Solve -y + 7*y = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808 and 385164?\nAnswer: 77803128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7575 (base 10) in base 4?\nAnswer: 1312113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -487266914 - -0.4\nAnswer: -487266913.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.384936 kilograms to nanograms.\nAnswer: 3384936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444.5331882139 less than -1.2?\nAnswer: -1445.7331882139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 2*j)*(3*j + 0*j + 5*j) - 3 + 3 - j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6492 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.0074111790456\nAnswer: 3.9925888209544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 14 = -6*y + 3*y, 0 = 4*b - 2*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190139*l**2 + 95064*l**2 + 95067*l**2 + 147 - 147.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66882145 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -65.5. Let u = 0.08 + 0.52. Let r = g - u. Is 1\/3 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -98\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8460*v**5 - 26*v**4 + 169*v**3 + 285885790*v**2 wrt v.\nAnswer: 507600*v**2 - 624*v + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15.99 * 187.89\nAnswer: 3004.3611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*o + 338 = 24*o. Let w(f) be the first derivative of -8\/3*f**3 + 5 + 0*f - 6*f**o. Find the second derivative of w(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 259641, 260907, 262171, 263433, 264693, 265951, 267207?\n\"Answer: -x**2 + 1269*x + 258373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11231203 (base 4) to base 8\nAnswer: -55543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = -3. Let c = 4 + v. Let k(d) = 2*d**2 - 2*d - 1. Let w be k(-1). Solve q - w + 5 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7342013kg to nanograms.\nAnswer: 734201300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t**11)**(-6))**(2\/31) assuming t is positive.\nAnswer: t**(108\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2197435, 4394872, 6592309, 8789746, 10987183?\nAnswer: 13184620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001385668?\nAnswer: 2, 7459, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-2)\/(-9)). Let i(l) = -l**3 - 75*l**2 + 2*l + 213. Let u be i(-75). What is the remainder when (2 - u\/s)*4 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11801, 11521, 10799, 9413, 7141, 3761?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 7*h - 2. Let a be o(-6). Let a*c + 6 - 12*c**2 - 1 + 3 = 0. What is c?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-18))\/(0 - -1). Suppose -9*u + 10*u = -1. Are d and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -40638.\nAnswer: 8127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54, -0.2, 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014504 bigger than 3014503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8166 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*g**3 + 293*d*g**3 + 262*g**3 wrt d.\nAnswer: -3*d**2*g**3 + 293*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 29*p + 22. Let w be z(10). Calculate the greatest common factor of w and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -29. Suppose -u + m = 3. Suppose -u*v - 15 = -70. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*x**2 + 55*x**2 + 15*x**2 in the form f + k*x**2 + c*x and give k.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - y + 210 = -16*l, l + 3*y - 42 = 0. Calculate the highest common divisor of 154 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/((-1)\/(30\/(-2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - 23*d**2 + 35*d + 29. Calculate the least common multiple of 814 and i(7).\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d*y**3 + 3*d - 95*y**3 - 3*y with respect to d.\nAnswer: 24*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -46.0000463. What is w rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 3. Let j be z(-7). Suppose 4 = -4*f + j. Suppose 3*h + 258 = 3*b, f*h = b - 9 - 81. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 33 + 4 - 20 + 248*w + 59. Let c(o) = 1. Let g(h) = -10*c(h) + r(h). Differentiate g(b) wrt b.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 42\/(-18). Suppose 0 = -4*j + 62 - 50. Solve n = 2*m - 3, 0 = t*m + 2*m + n + j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 12*n**2 + 8073*n - 791. Determine k(84).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 48*y + 57. Sort -18, 22, y.\nAnswer: -18, y, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92697)\/53)\/(-11)*-1.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3706*a - 191192 + 72190 = -3577*a + 92205 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 18*p + 7. Give i(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-44)\/8 - -5). Solve m = -0*g + 4*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 5*b**9\/504 + 5*b**8\/168 - b**5\/30 + 8*b**3\/3 - 2*b**2 + 5. Find the third derivative of a(v) wrt v.\nAnswer: 600*v**3 + 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412069 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**7\/735 - a**6\/140 - 3*a**5\/70 - 5*a**4\/84 + 39*a**2. Let m(g) = 0. What is g?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34639 and 17196421.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28 + 0*u**3 + 5*u**3 + 4*u**2 + 16 + 16 + 20*u wrt u?\nAnswer: 30*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -697?\nAnswer: -697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/4 (b) 47 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + -10 - 1\/2*-2. Solve 2*j = -3*j - a - 9, -5*j + h*a + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2597658 and -10.\nAnswer: 2597658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493092398.\nAnswer: 2, 246546199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17 - -4) + 7)*100\/(-26700)?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/6)*o**0)\/(o**(2\/23)\/o*o\/(o*o*(o\/(o**(2\/11)\/o))\/o)) assuming o is positive.\nAnswer: o**(5411\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/836479?\nAnswer: -2\/836479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13947.23988 nanoseconds to weeks.\nAnswer: 0.0000000000230609125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 303*i - 152*i + 2 - 151*i - 475*i**2 as x + g*i + t*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:18 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185, -369, -537, -683, -801, -885, -929, -927?\n\"Answer: w**3 + 2*w**2 - 197*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 472208202 and 9.\nAnswer: 472208202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 5*g = 7*n - 55, 4*n - 2*g = -68 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(-8 - -8). Suppose 5*h - 6 - 4 = n. Factor -2 + h*v**2 - 2*v**2 + 4*v**2 - 2*v**4.\nAnswer: -2*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 0, -6, 14032, -5, -2 in descending order.\nAnswer: 14032, 11, 0, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i + 22 = -4*m, 5*i - 33 = 3*m. Let p be 3\/2*(-4 + i). Let r = p - -1. Solve -q = r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 56 = 5*s - 40*i, 3*s - 2*i - 16 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 4*l + 1241 = 3*i, 2*i - 2*l = 806. What is the remainder when i is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 0 + c - 6 + 4*c - 12 as i*c + a and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g + 2. Let r be 1*(2 + -1)*0. Let f be o(r). Is -2 + 1\/f*34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -5*x - h - 4*h, 4*x = -5*h + 388. Suppose -y = -2*y + x. Suppose -y + 277 = 5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*s - 34680 = 104*s + 25434 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 6. Suppose -33 = 4*a - 5*a. Let z = a - m. Calculate the least common multiple of 12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + 11. Solve b = 4*y + 15, -y - w = -5*b + 4*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5985624.\nAnswer: 2, 3, 461, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(-4)*(-1398)\/(-3495)\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-2*1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173396 + -88432039\/510. Calculate the common denominator of t and -32\/153.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(57)\/(sqrt(12) + sqrt(3)))**2 - ((sqrt(76) + (sqrt(76) + (sqrt(76) + 1*sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76)) - sqrt(76))*-5)\/sqrt(4).\nAnswer: -17\/9 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(1*sqrt(152) - sqrt(152))*-4)\/(sqrt(24)\/((2*sqrt(27))\/sqrt(9))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-72) + 26\/12. Let n(w) = 4*w**2 + 8*w**m - 3*w - 16*w**2. Let i(s) = 4*s - 4*s**2 - 10 + 8*s**2 + 10. Determine -3*i(b) - 4*n(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 - 11.4. Let l = g + 27. Let n = l + -16. Which is smaller: n or 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1380\/(-322))\/(21\/49)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 818486258 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -21. Let l = 0 - j. What is the smallest common multiple of 1 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18*(-16)\/(-4)*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 11)\/(8\/3 + -1)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*t**3 + 6*g**2*t + 2*g**2 - 923378*g*t**3 + 5745*g*t**2 + 2*g*t wrt t.\nAnswer: -12*g**2 - 5540268*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3388 + -0.0688. Let b = -7 + m. Round b to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -605 - -293. Let u = p + 314. Solve q - u = 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*q**4 + 361*q**2 + 3*q + 636959?\nAnswer: -480*q**3 + 722*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 92. Sort 0.5, x, 0.2 in descending order.\nAnswer: 0.5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 12*v - 11. Let c be m(-11). Suppose c = -b + 4. What are the prime factors of 2 + b + (0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -11*h - 3*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1022645.\nAnswer: -29\/1022645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -123, -432, -963, -1728, -2739, -4008, -5547?\n\"Answer: -2*y**3 - 99*y**2 + 2*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 11*t**9\/504 + 3*t**8\/112 + 79*t**5\/30 + 174*t**2. Find the third derivative of g(x) wrt x.\nAnswer: 1320*x**3 + 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {q: 1, f: 1, p: 7, w: 5, z: 2, s: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -212, -391, -566, -737, -904?\n\"Answer: 2*i**2 - 185*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-7695)*95)\/(1\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 31969*l**4 - 4 - 31971*l**4 + 4*l**2 + 0*l**3 + 5*l**3 + l to k*l + c + b*l**4 + z*l**3 + s*l**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15307 + -8126. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(48659\/(-1677) - -29).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Suppose 3*b - 3*r - 78 = 0, 3*b + 23 = r + 99. Suppose s - 7 - 1 = 0. Let k(f) = b - 17 + 4*f - s. Determine j(k(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70146\/3985 + -2\/797. Which is smaller: o or 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -625*h**6*l**3 - h**2*l**3 + 2*h**2*l**2 - 36*l**3 wrt h?\nAnswer: -75000*h**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:59 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 672\/(-68) - (-250)\/25)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15620486?\nAnswer: 2, 7, 59, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8810.56 milligrams to kilograms.\nAnswer: 0.00881056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 3973\nAnswer: 7\/3973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12097 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*d**6 - 273*d**2 wrt d.\nAnswer: 17520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.79 - 0.03. Let x = q - -0.92. What is the closest to -1\/3 in x, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -221*f + 1103. Let b be t(9). Is b > -884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 5, c: 3, d: 1, o: 6, g: 2}. What is prob of sequence wzgo?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333633 and 6.\nAnswer: 667266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -34454561?\nAnswer: -34454566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13102 + 0?\nAnswer: -13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 73 + (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1024925 by -5.\nAnswer: -204985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57)\/(-15) + 24\/120 + 277617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 57 - 15 = 0. Suppose 62 = m*b - 34. Solve -b*a = 49 - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose 2*t + 82 = -p*m, -t = t + m + 73. What is the tens digit of 10\/t + 256\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*b**3 - 1448 + 1448)*(4*b - 5 - 16*b + 3) to o*b**4 + y*b + a*b**2 + t + r*b**3 and give o.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -98304*v + 1572764. What is t(16)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 35416435?\nAnswer: -35416434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t = -38 - 45 + 105 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/70 + 3*z**6\/40 - 9*z**5\/4 + 77*z**4\/8 - 18*z**3 + 4042*z**2. Solve r(h) = 0.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552260?\nAnswer: 2, 5, 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjmjjmjmjmm?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 4, -14, -30, -44, -56?\n\"Answer: d**2 - 23*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 324*l**2 + 2000*l - 5328.\nAnswer: 4*(l - 2)*(l + 9)*(l + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/15)*q)\/(q\/(q\/((q**(2\/7)\/q)\/q)))*(q*q*((q\/(q\/(q*q*q*((q\/q**(-2\/3))\/q)\/q*q)))\/q)\/q)**(-1\/19))**19 assuming q is positive.\nAnswer: q**(1721\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 16 - -33 - 7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 60*r + 73. What is o(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, y: 2}. What is prob of sequence yiyi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -670 + 1197. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - b - 1. Let p(r) = 22*r**2 - 2*r - 2. Calculate 3*m(j) - p(j).\nAnswer: -16*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -2063*j**6\/120 - 229*j**4\/6 - 3233*j**2. Find the second derivative of f(q) wrt q.\nAnswer: -12378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:36 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3585 = -h - 3569, 71 = 5*w - 5*h + 1 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25218?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let a = 17690.3 + -17691. What is the closest to -7 in f, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536669 to the power of 1\/2, to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 106*y**2 + 268*y**3 + 231*y**3 - 3*y**4 + 225*y**3 - 2*y - 722*y**3 + 5 in the form s*y + w*y**4 + r*y**3 + n*y**2 + b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvccbevtbtbvvcccc. What is prob of picking 2 t, 1 e, and 1 b?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:00 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (6 + 16 + -101)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 25, 18, -5, -50, -123?\n\"Answer: -c**3 + c**2 + 7*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767362 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147405, -294842, -442233, -589554, -736781, -883890, -1030857?\n\"Answer: 4*n**3 - n**2 - 147462*n + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 4*j - 5*h, 0 = -5*j - 2*h + 898 - 887 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -44*s + 10*s + 99. Let q(o) = -o + 2. Let y be q(-6). Solve g + 3*f = -s + y, 15 = 3*g + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4493598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -1068*b + 1064*b - 4, 2*b - 5*o - 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 23*x**4\/24 - x**3\/2 - x**2 + 741. Let m(b) = 620*b - 80. Give -3*m(k) + 80*p(k).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((-1*sqrt(8) - sqrt(8) - sqrt(8) - sqrt(8))\/sqrt(2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 5328 = 5409. Solve -g + 4 = -2*p + j*p, -4*g - p = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -10\/7*i**2 + 55 + 62\/21*i - 2\/63*i**3. Determine m so that f(m) = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10087753 divided by -12721?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4318 plus 197?\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - 19171\/48640. Let h = 1015\/1536 + t. What is the closest to -7 in -0.5, 3, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 4*c - 4*c)*(0*c + 4*c - 2*c + (2*c + 0 + 0)*(-2 - 1 + 5) + 6*c + 1 - 1) + (3*c - c - 3*c)*(2 + c - 2) - 2*c**2 + 4*c**2 + 0*c**2.\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56146*a + 56224*a = -56221*a + 168682*a - 7735 for a.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92295251888 + -0.1.\nAnswer: -92295251888.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 5. Let q be l(-9). Let n = q - 10. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n - 6. Let u(l) = -l**2 - 9*l. Calculate the least common multiple of a(-3) and u(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 11*z**2 + 9*z - 13. Give p(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 397120 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180.3 - -180. Let t = 7 - 7.6. Let j = -0.2 - t. Which is the nearest to 2? (a) j (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/66860 and 87\/3817706?\nAnswer: 38177060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 29*u**3 + 2134*u - 49*u**2 - 1926*u - 56 + 32*u**3 - 18 = 0 for u.\nAnswer: 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 121277?\nAnswer: -121278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/20 - 5*j**4\/6 + j**3\/2 - 7*j**2 + 9*j. Let v = 94 + -63. Calculate the remainder when v is divided by n(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53\/1*(-5 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-306)\/63 - -6) + (-40)\/35. Sort -538, r, -1 in descending order.\nAnswer: r, -1, -538","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 89.64.\nAnswer: 99.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1710\/437 - (-12)\/(-3). Which is the closest to 2? (a) -9 (b) f (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**5\/15 + 83*p**4\/12 + 158*p**3\/3 + 466*p**2\/3 + 616*p\/3 + 7344. Factor d(v).\nAnswer: (v + 2)**3*(v + 77)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 3*q - 54 = 0, 180*d + 2*q = 176*d - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 977952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 58264*r + 4635520.\nAnswer: 4*(r + 80)*(r + 14486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 10305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 6*p**2 - 2*p. Suppose 5 + 3 = 2*j. List the prime factors of k(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 5*r - r + 0*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63088 + -20939. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3) - (-6)\/(-2). Let u be (w + 5)\/1 + 12. Solve 3*c - 1 + u = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-45))\/(9\/(-18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28684 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 42, 73, 112?\n\"Answer: 4*x**2 + 11*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**3 + 5*s**2 + 4*s - 5. Let r(y) = 9*y**3 + 8*y**2 + 6*y - 8. What is -8*j(o) + 5*r(o)?\nAnswer: -3*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/(-26)*(41\/(-820))\/(99\/396).\nAnswer: 90\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 231214272 and -24.3?\nAnswer: 231214296.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = 5*t - 5*n, 2*n = 10. Suppose 4*s = 8*s - 16. Sort 1, s, t, -4 in ascending order.\nAnswer: -4, 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2893*o = -2716*o - 885. Solve 98 = -o*k + 63 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 32*j - 608. What is s(10)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(4 + 492\/(-120)). Calculate the highest common divisor of v and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565353904.\nAnswer: 2, 17, 2078507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2993 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.133, 0.8, -1.5 in increasing order.\nAnswer: -1.5, -0.133, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4\/3, -2\/7, 4 in increasing order.\nAnswer: -9, -4\/3, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 1. Let x(f) = f**3 + 6*f**2 - f - 4. Let q be x(-6). Suppose 4*m - 5*g = -q, 0 = m - 2*g + 6*g - 10. Let a be -2*m\/4 + 2. What is z(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 15*s**2 + 16*s - 15. Determine j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*b = 130, v + 20 = -b - 8. Let n = v - -34. Solve 2*f = -n*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 7:13 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p + 1. Let x(z) = 7*z + 1. Let v(w) = -6*l(w) + 5*x(w). Let u be ((-2)\/4)\/(1\/(-4)). Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2474, -2264, -1696, -590, 1234, 3956?\n\"Answer: 30*z**3 - z**2 + 3*z - 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 9*r**5\/40 + 29*r**3\/6 + r**2\/2 + 12*r + 4. Let g(o) be the second derivative of c(o). Let y(i) = -5*i. Give g(y(m)).\nAnswer: -135*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660710396 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*(-9)\/(-6)*120\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**5\/5 + v**4 - 5*v**3\/3 + 180. Factor h(n).\nAnswer: n**2*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 6*q - 5. Let l be w(-4). Suppose -3*f = -l*g - 5052, 3*f - 5049 = -38*g + 42*g. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -351.99016 - -352. Let s = 0.0092 - r. What is s rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/285 - (-38)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 127, 183, -30 in descending order.\nAnswer: 183, 127, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 109. Solve 6 = v*j + 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155492304619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from lzllzszlzlzzzlzzz?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccwcywwcccc. What is prob of sequence wwc?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/28 + 4 + 75612\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -565\/7. Suppose -3*v - 5*d - 16 = 0, 2 = 4*v + d + d. Which is the nearest to i? (a) -0.5 (b) -1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13680, -109416, -369274, -875316, -1709604, -2954200?\n\"Answer: -13677*v**3 + v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 4*i)*((-4 + 1 + 1)*(-i**2 + 1 - 1) + i**2 + 5 - 5).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 6*t + 4. Let w be b(-7). Let v be 1*(-4 - -1 - w). Suppose v*s + 3*s - 60 = 0. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-16))\/(n*n**12*n)*n*((n**7\/n)\/n)\/n*n*n*n*n**15 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-21)\/5418*9\/(-6)*2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*u + 1 - 1)*(-2 + 3 + 0)*(1600 - 1600 + 57*u).\nAnswer: 285*u**2 + 57*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 45407811.29 to the nearest 10000.\nAnswer: 45410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 243 (b) -424 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 725 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 - 33210*o + 33205 = 0.\nAnswer: 1, 6641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 16*j - 8. Let s be i(-16). What are the prime factors of ((3 - 5) + 160)*(-20)\/s?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 + 129102*q**2 - 544456 with respect to q.\nAnswer: 8*q**3 + 258204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*m - 14175 = -495 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 6*j**2 - 6*j - 8*j**2 - j**2 + 0*j**2 + 2*j**2 + (1 + 2 - 4)*(-2*j**2 + 0 + 0) - 1 + 1 - 2*j**2.\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*m = 280, 6*m - 3*m + 36 = y. Suppose -5*i = 4*s - y, 2*s - 10 - 13 = -3*i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 33 = 60*c - 56*c, y = -2*c + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1910 - 808?\nAnswer: -2518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.433 + 0.433. What is the closest to 1 in -0.4, -3, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2. Let j(x) = 20*x**2 + 14*x**2 + 17*x**2 - 536 - 49*x**2. Calculate j(t(z)).\nAnswer: 2*z**4 - 536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -31289223.\nAnswer: -31289226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 14}. What is prob of sequence eeee?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/7716 and 91\/24.\nAnswer: 15432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349*f**3 + 39 - 2*f**4 + 38 + 356*f**3 wrt f.\nAnswer: -8*f**3 + 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513221697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z, -a + 8 = -2*a + 3*z. Let n be (-7 - -21)*a\/8*-2. Solve n*k - 2*k + 20 = 3*c, -k = 5*c - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 6*k + 7. Suppose 5*u + 37 - 7 = 0. Calculate x(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from infpwww. What is prob of sequence nfp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3049*c**5 - 5025*c**2?\nAnswer: -182940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -13. Let g = u - 4. Let m be g\/2*(-2)\/12. Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4696, -18748, -42168, -74956, -117112, -168636, -229528?\nAnswer: -299788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and -1519242.\nAnswer: -1519258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3178, -3038, -2838, -2608, -2378, -2178, -2038?\n\"Answer: -5*r**3 + 60*r**2 - 5*r - 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244*i**6 - 2049*i**5 - 103*i**2 + 1017*i wrt i?\nAnswer: 29280*i**3 - 122940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*m = -859*m + 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -12.8. Let c = 7.2 + v. Let f = c + 0.8. What is the second smallest value in f, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -4*t - 2*y, -40 = 3*t - 5*y + 36. Which is smaller: -26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5895 rounded to two decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:55 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*v**4*z - v**4 + 1255*v**3*z + 5*v**3 - 2*v**2*z + 5*v**2 + 1391*v*z wrt v.\nAnswer: -216*v*z - 24*v + 7530*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/18)\/((-8)\/32).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let x(w) be the first derivative of 2*w**3\/3 + 6. Determine x(g(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1 - ((-3)\/1 + -10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 129*n**2 + 3192*n - 41100\/7.\nAnswer: 3*(n - 274)*(n - 25)*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x + 2612. Let m = x - -325. Let z = m + 791. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 13) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760055667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 10. Let m = 1 - -2. Suppose 24*x = 11 + 37. Suppose -z + m = -x. Determine y(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**2. Let f(s) = -186*s. Give f(y(l)).\nAnswer: 1488*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19220493\/44 or -436829?\nAnswer: -19220493\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-162)\/180)\/((-6)\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 253?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-20)*22\/(-154)*16\/40\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448814 is divided by 2300?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5666\/1440 - 1 - 2. Let p = r - 5\/144. Find the common denominator of p and -113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.15 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 226622565 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3)*-3 - 3*sqrt(300))*2)**2 + 2.\nAnswer: 13070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 79*l**3 - l**2 + 3 - 3.\nAnswer: -79*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2260 and 2712.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5024 + 6006. What is the remainder when o is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19926997723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 18 (c) 43103\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27.2904839+61272\nAnswer: 61299.2904839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3311202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3223655598 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**3*y**2 - 4*t**3*y + 15*t**2*y**2 + 4*t*y**2 wrt t?\nAnswer: 24*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z. Let l(a) = 9*a**2. Give l(v(f)).\nAnswer: 729*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0 + 0)*(7*f - 3*f - 3*f) - 386*f**2 + 24*f - f + 388*f**2.\nAnswer: f**2 + 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4781 is divided by 281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261205 is divided by 581.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 37, 87, 175, 313, 513?\n\"Answer: 2*d**3 + d**2 + 7*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98263963.\nAnswer: 7, 2005387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0.2 (c) -2 (d) 0.1 (e) 15874 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103310415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/(-1749) - ((-7248)\/22)\/(-8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/54)\/((-1)\/2). Sort r, 4, -1 in descending order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 10. Let s(w) = -w**3 - 6*w**2 + 9*w + 10. Let i be s(b). Let n = 25 + i. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.6523m to nanometers.\nAnswer: 402652300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0464 times -1200\nAnswer: -55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**7\/105 + f**3\/2 + 3*f**2\/2 + 1. Let v(k) be the second derivative of d(k). What is the first derivative of v(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -30. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h = 95*h - 48*h - 70. Put 4, h, 81 in decreasing order.\nAnswer: 81, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b18 (base 14) to base 4\nAnswer: 10203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:57 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n - n)*(4*n**3 - 4*n**3 + 2*n**3) - 383 - 29*n**4 + 383 to b*n + c + z*n**3 + w*n**4 + s*n**2 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2422 - 0?\nAnswer: -2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -64*a - 35. Let q(g) = -22*g - 12. Determine 11*q(p) - 4*y(p).\nAnswer: 14*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 5 - q**2 + 3*q**2 - 18 in the form c*q**2 + o + b*q and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 168*r + 337. Calculate z(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 98*j**2 + 84*j + 1427. What is d(-97)?\nAnswer: 2688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(-3 + 2 + 2) - 5*h - h + 4*h - 273*h - 90 - 272*h + 547*h.\nAnswer: -h - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 9) in base 2?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*f + 9 + 52, -283 = -5*y + 4*f. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 227 + 383 + 14*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4\/4 + 9*b**3\/4 - 33*b**2\/4 - 9*b\/4 + 15\/2 = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 288, 607, 1488, 3213, 6064?\n\"Answer: 47*b**3 - b**2 - 7*b + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4342 is divided by 723.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.276681 + 0.2796. Round d to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 5:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1565443 by 595.\nAnswer: -1565443\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3570 = -5*r, -5*t + 2140 = -2*t - 2*r. Calculate the highest common divisor of 89 and t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from trtrtrrrtt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -411a?\nAnswer: 411e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 4*c**2 + 3 + c**2 + 4*c + 0*c**2.\nAnswer: (c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 0 + (2 - -2) - -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 3\/(-6) - 1. Let u be (2\/4)\/(5 - (-328)\/(-64)). Let j be ((-2)\/(-15))\/(7\/((-42)\/(-4))). Which is the nearest to k? (a) 4 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 711 + -266. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**3 - 64*n**2 + 35*n + 325. What is l(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 3)*(-3*k + 6*k - 2*k)*(5 - 2 + 0).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 657 + -370. Let q = g - 282. Solve -2*d = -5*a - 12, -q*d - 3*a - 14 = 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 3. Let x be c(6). Suppose -3*m + 15 + x = 0. Calculate the remainder when (-12)\/54 - 1\/9*-92 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - -0.36. What is the second biggest value in t, -2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 rounded to one dp?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6436 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8450.799 tonnes in micrograms?\nAnswer: 8450799000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*a - 10, 0 = -10*o + 14*o + a - 1. Solve -3*u + 1 - o = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9516420.\nAnswer: 2, 3, 5, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:26 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1. Suppose -4*q + 4 = -2*q. Let u(d) = -q - 6*d + 12*d - 6*d - 3*d. Calculate -2*r(s) + u(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*t**2 - 2 + 3 - 41*t**3 - 1 + 34*t**2 wrt t?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 18. Let r be a(0). Let p be -22*(r\/4 - -1). What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k + 8. Suppose -5*s + 180 = s. Suppose -12*j = -7*j - s. Give d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8489 - -11710. List the prime factors of y.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8c075 (base 13) in base 11?\nAnswer: -24a40a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deeeddeddeedgeeod. Give prob of picking 1 d and 1 o.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:08 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.65 (b) 13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.69998993 + 6.7. Round d to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2052, -5, 5.2, -0.4, 1\/52?\nAnswer: -2052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 11*x - 1. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1460\/15*3)\/2. Find the common denominator of 2 + -5 - c\/20 and -119\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1066, -2494, -6404, -14038, -26638?\nAnswer: -45446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 12. What is the greatest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 111 + 3 = 0. Let r = 14 + 21. Let p = r - g. Let y(w) = -10*w**3 + w**2 - w - 1. What is y(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n**2 + 3*n + 9. What is the tens digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0, -4, -55 in ascending order.\nAnswer: -55, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 25*f + 6. Let u(q) = 4*q**2 - 19*q - 5. Let l(m) = -5*i(m) - 6*u(m). Let y(c) = 5*c**2 + 6*c. Give 6*l(d) + 11*y(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320)*2)\/sqrt(8) - sqrt(40)) + 2*sqrt(200)\/sqrt(5))\/(5*sqrt(16)\/sqrt(2) - sqrt(48)\/sqrt(24)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2290 and 98570.\nAnswer: 22572530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/4 + 775*w\/4 - 14359 = 0.\nAnswer: 83, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x + 219. Let f be k(-33). Suppose -3*g - 14 = -f*b + 59*b, 4*g + 11 = b. Let c = 0.06 + 4.94. What is the closest to 0 in g, c, 11\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1576144 is divided by 4397.\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 252 = g - 257, -2*g + 10 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2364*w - 2361*w + 4730*w. Let t(v) = -2*v. Calculate -17*t(j) - 6*z(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1 - 2)*-2. Let b(g) = -g + 7. Let z(t) = -2*t + 14. Let q(a) = 13*b(a) - 6*z(a). Let k(r) = -r + 4. Let y(d) = 5*k(d) - 3*q(d). Calculate y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156035 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 795673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 126 = 20*m + 63*x, 4*m = -2*x - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n - 1. Let j(h) = 4*h**2 - h + 1. Give 5*j(s) + 5*y(s).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 0.09, 3, -1\/20, -3\/5, 4 in increasing order.\nAnswer: -83, -3\/5, -1\/20, 0.09, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 109023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - -207. Let f be j\/30 + (-5)\/2. Suppose -4*x + 52 = -4*u, x = f*x - u - 57. What is the lowest common multiple of 66 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from dpdpdpdppd.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 26 = 4*z, u - 90 = -4*u - 5*z. Let t = -19 + u. Let x = -3\/125 + -211\/1625. Which is the third biggest value? (a) x (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-2*p - 2*p + p)*(2 + 1 - 4) + 5*p - 3*p - 4*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555222.\nAnswer: 2, 151, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43285 (base 11) in base 6?\nAnswer: -1203100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*7*4\/(-196)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 4*y - y + (0 + 0 - 1)*(-3*y + 4*y + y) + 11*y + 34*y + 7*y to the form c + q*y and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 9:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 2 - 3*p - 2. Let c(j) = j**3 + 6*j**2 + j. Let n be c(-3). Let u be 33*4\/n*-2. Let x(m) = -14*m. Determine u*r(g) + 4*x(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 + 3. Let r(x) = -x - 4 - w + 5 + x**2. Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -67 (c) 3 (d) -3\/4 (e) -1\/2 (f) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 130 + -61?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3823661\/70 + -54622. Calculate the common denominator of g and (204\/40)\/((-7)\/3 - 3234\/(-4950)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101021 (base 3) in base 2?\nAnswer: -101100101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1602, 3206, 4810?\nAnswer: 6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212101101001101 - -1?\nAnswer: -1212101101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -3.4. Let o be 2*(2 + -4) + 4. Which is the fourth smallest value? (a) n (b) 4 (c) 0.3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -41 (c) 4 (d) -6.68 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 53*j**3 - 6*j**2 - 154*j - 4. Let y(t) = -54*t**3 + 7*t**2 + 152*t + 5. Let h(o) = -6*b(o) - 5*y(o). What is the second derivative of h(s) wrt s?\nAnswer: -288*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**5 - 2*s**5 - s**5)*(-3 + 1 + 7).\nAnswer: -15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1757 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1838*k**3 + 5*k**2 + 39*k - 4. Let i(t) = -3676*t**3 - 9*t**2 - 65*t + 7. Determine -3*i(w) - 5*s(w).\nAnswer: 1838*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let l = 4 + f. Suppose l*k = -5*a + 8, -2*a - 2 = a - 5*k. Which is bigger: a or -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 67 - (-381 + 49 + 331)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/2698153 or 1?\nAnswer: -38\/2698153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100120312112 - 3?\nAnswer: 1100120312103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 7*u - 5. Let h be i(3). Let s = h + 5. Solve -s = 2*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895000181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 < 14802\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - 1.13. Which is the nearest to j? (a) 1\/3 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-734)\/100) + (-13464)\/2992.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let n(g) be the third derivative of -1\/3*g**4 + 0*g + 0 + 7*g**2 + 0*g**3. Calculate c(n(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccc when four letters picked without replacement from ccccjjjjjcjccjcjjjcc.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**4 - 6*l**3 - 111*l**2 - 375*l - 405. Let j(v) = -30*v**4 + 24*v**3 + 445*v**2 + 1499*v + 1620. Let y(z) = -6*j(z) - 26*t(z). Factor y(i).\nAnswer: -2*(i - 15)*(i + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, 7, 57, 151, 301, 519, 817, 1207?\n\"Answer: 2*r**3 + 4*r**2 - 8*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388641064 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 11556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:07 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*y - 8*y - 10*y)*(-1 + 1 + 2)*(-65 - 7 - 10).\nAnswer: 8692*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2184 and 2722200.\nAnswer: 19055400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllfjbcbcjfi. Give prob of sequence fjc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**3 - f**2 + 1. Let k = 3 - -2. Let x(h) = -h + 6. Let u be x(k). Is n(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - 79. Let q = m + 158. Let j = 15 + -11. What is the closest to -3 in j, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 17 + -4 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (93 + 1)*4*3\/(-24). Let y = -43 - v. Suppose 0 = -u - 4*q + 30, -7*u + y*u = -3*q - 45. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 77. Sort n, 5, -11, -1 in descending order.\nAnswer: 5, n, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7685454 by -6.\nAnswer: -1280909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/32)\/(5\/20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39662 - -5445. Suppose -44*i + m = 9247. List the prime factors of i.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**5 - 45*u**4\/2 - 135*u**3 - 280*u**2 - 240*u + 14295. Factor d(k).\nAnswer: -5*(k + 1)**2*(k + 4)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 260 - 72)*(-75 + 75 - 8*b)*(-2 + 3 + 2 + (-2 + 0 + 1)*(-2 - 2 + 3) - 2 + 0 + 1 - 1 + 2 + 0).\nAnswer: -8768*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67375.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 118\/8 + 24\/32 + 1\/(-2). Let w(x) = -x**3 + 17*x**2 - 29*x - 27. Determine w(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 6*y - 2*y)*(4 + 2 - 4 + 3 + 0 - 5 + (0 + 0 - 1)*(-2 + 0 + 1)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -47553.\nAnswer: -47553.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*w = 26, 2*c - w + 2*w - 14 = 0. Let n = 23 + 1. Suppose c*f - n = f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 - 2*k + 10. Determine i(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 55988*k**2\/3 + 391832018*k\/3.\nAnswer: 2*k*(k - 13997)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**3 - 5*o**2 - 15*o - 72. Let c be d(-6). What is the highest common factor of c and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.038498581 + -0.038421. What is r rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - (-12 - (-26 - -30)) - (0 + 0 + 1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8492 + -0.1508. Let j = 59 + -77. Which is the biggest value? (a) 4 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 9 - 9)*(-r + 0*r + 0*r) - r**2 + 0*r**2 - r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.017 + -3.983. Let i = -2.9552 - 0.0448. Sort 1\/8, -1\/2, i, l in descending order.\nAnswer: 1\/8, -1\/2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5309 and -17935.\nAnswer: -95216915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*j - 3, 5*j = -2*s - 1 - 8. Solve s*x - 11 = -2*u, u + 3*u + 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/21*-21 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-3944)\/(-72). Suppose 3*k + 36 = -4*h, h = -2*k + 5*h - 4. Let t = m + k. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22*l**3 - 4*l**2 + 3*l + 2. Let i be s(2). What is the common denominator of (-2)\/(-17) + (-17580)\/(-4896) and (7\/i)\/(6\/424)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 59*u**2 - 4*u + 88. Let p be x(-9). Suppose -2*b = 5*v - p, -v - 2*b + 983 = -4*b. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 99. Let b = 52 - l. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 954 + -1609. Is f equal to -656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000667616 to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 21*r + 83. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-10))\/4 + (-1)\/(-30). Which is the third smallest value? (a) 3 (b) 55 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15126 and 57983?\nAnswer: 347898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176820 divided by 3.\nAnswer: 58940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124123*o*t**5 - 1601*o*t + 6*o - 4*t wrt t.\nAnswer: 2482460*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857.5707 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose 2*i - 3*i + 300 = r. Let b = i + 39. Is b 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 11:01 AM and 5:00 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 + 13870*r**2 - 961531*r + 3624140 = 0.\nAnswer: -13939, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1357*y + 702*y - 1450 = -713*y. Solve 5*m + 9*j - y = 4*j, 0 = -3*m - j + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184025400 rounded to the nearest one million?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let w be (3\/1)\/(0 - -1). Calculate the lowest common multiple of 0 + (3 - w\/3) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 - 26 = -18*h - 61 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p = 37, -2*p + 5*p = -4*n + 143. Suppose 3*i - 98 = -n. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 + 175156*w**2 - 70270*w - 10?\nAnswer: -12*w**2 + 350312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*k - 93 + 93 + (1 + k - 1)*(-2 + 2 - 2) + (-1 - 1 + 4)*(-9 + 9 - 9*k) as w + v*k and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1530, 1413, 1218, 945?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2443, 5, -2431, -4865, -7297, -9727?\nAnswer: -12155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -67. Suppose 3*l + 0 = x. Suppose -2*d + 3*d - 8 = -o, 0 = -l*d + 4*o. Let f(w) = w**2 - 3*w - 3. Give f(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34074737?\nAnswer: 83, 353, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.36 grams to kilograms.\nAnswer: 0.07136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(-9 + (-1070)\/(-120)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 9*c + 0 + 2\/3*c**3 - 1\/2*c**2 - 1\/12*c**4 - 1\/20*c**5. Let m = -1 + -2. What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -6. Let c be b\/(-12) - (-1)\/(-4). What is q in 1\/3*q**4 + 1\/3 - 2\/3*q**2 - 1\/3*q - c*q**5 + 2\/3*q**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c - e?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*r**2 - 17*r**2 - 17*r**2 - 2*r**3 + 17 + 2*r - 14*r**2 - 10*r**2 to w*r**3 + b*r**2 + s*r + y and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6257, 12589, 19053, 25715, 32641?\nAnswer: 39897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**6 - 2*c**5 + 4137*c**4 + 1723*c**2 + 15?\nAnswer: 960*c**3 - 120*c**2 + 99288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458219541 to the power of 1\/2, to the nearest integer?\nAnswer: 21406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 3*b - 2, 5*v - 5*b - 40 = 0. What is the lowest common multiple of v and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.493 or 0.065?\nAnswer: 0.493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105157987 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 145383, 145378, 145371, 145362, 145351?\n\"Answer: -j**2 - 2*j + 145386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*j - 268 = -3*n, 0 = -2*j + 4. Which is bigger: 61 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -5) + 477\/45 + -10. Factor -4\/5 + 8\/5*q**3 - c*q + 4\/5*q**2.\nAnswer: 4*(q - 1)*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdiiiiixydiiyiy. Give prob of picking 2 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19997514*z**2 + 1946178*z + 2 wrt z.\nAnswer: 39995028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3755332 and 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 3. Let h(w) = -w + 1. Let d be -37*(3 + -2 + 0). Let b = d + 35. What is b*h(v) - i(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 3047 = 3*y. Let p = y + -366. What are the prime factors of p?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6035565334.\nAnswer: 2, 61, 2593, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/18, 0.018, 1, 0.4, 4 in decreasing order.\nAnswer: 4, 1, 0.4, 0.018, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24998?\nAnswer: 2, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (414*z - 12*z**3 - 414*z + 2 + z**2)*(5*z + 5*z - 5*z) in the form n*z**2 + s*z**3 + r + o*z + c*z**4 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101423951 is divided by 50711961?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-3)\/2))\/((-37)\/((-13912)\/(-329)))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 38 = -4*j, 3*j - q - 7 = 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*c = -4*t - 19, 5*c = -3*t - 6. Sort t, -4, -2\/11, 3\/2 in decreasing order.\nAnswer: 3\/2, -2\/11, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.56 + 0.8. Let c = -36412 + 36411. What is the second biggest value in c, -3, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2*q**3 - 8*q**3 - 2*q as v + p*q**2 + d*q + a*q**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386039963 to the power of 1\/2, to the nearest integer?\nAnswer: 48847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137.1 - -137. Let h be ((-6)\/8)\/(6\/4). Which is the closest to -1? (a) -5 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g = -102*g + 51303. Suppose -g - 3874 = -17*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 78. Suppose 0 = 2*t - 10, -a = 5*m - 4*t + 2168. Is m equal to -435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by -2.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841227.\nAnswer: 3, 280409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-35) + (-302)\/(-630) + (-36)\/162. Which is the third smallest value? (a) h (b) 5\/3 (c) -396 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -358 + 366. Solve -5*x - 1 = 7*d - w*d, 4 = 4*d - 2*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 35 + 5*a**3 + (-50*a**2 + 25*a**2 + 19*a**2)*(2*a + a - 2*a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -212201221120 (base 3) to base 13\nAnswer: -1348a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -2*f + 0 - 1\/2*f**3 + 1\/2*f**2. Find the first derivative of m(u) wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/((-457600)\/(-195))*8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -24750?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*h + 5, 2*h + f = 3*h. What is the third derivative of 7*s**2 + 3 - 7 + 4 + h*s**3 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbhqbbbqeeb. Give prob of sequence ebhe.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**5 + 238*h + 0*h**3 - 21*h**5 + 9*h**5 + 2*h**3 wrt h.\nAnswer: -60*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54551, -218199, -490947, -872795, -1363743, -1963791?\n\"Answer: -54550*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 12. Let l = 2 - o. Let k = 3.5 + l. Sort 3, k, 2.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37912187.\nAnswer: 37912187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k + 4. Let d be l(3). What is the second derivative of -4*u**5 + d*u - 4*u**5 + 11*u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 + -13)*(-26)\/2. Let s(a) = -2*a + 17. Determine s(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2775747 = -7092691. Suppose -19*q = -11*q - t. Suppose 0 = 8*m + q - 57809. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132256524, -132256527, -132256530, -132256533, -132256536, -132256539?\n\"Answer: -3*h - 132256521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3 + 127*p**2 + 691*p wrt p.\nAnswer: 24*p + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:49 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 + k + 2. Suppose 3*f = -f + 24. Let y be f + 102\/(-12) - 1\/(-2). Calculate q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 - 1224*l**3 - 32720*l**2 - 163704*l - 229356 = 0?\nAnswer: -277, -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -1384423.\nAnswer: 16\/1384423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71721835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 11 - 2*k + 3*k**2 - 7 in the form s*k**2 + z*k + h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -2301303334?\nAnswer: -2301303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -189*c**2 - 90*c - 45. Let t(p) = -17*p**2 - 8*p - 4. Let g(n) = 4*r(n) - 45*t(n). Let b(u) = -u**2. Determine g(b(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 269302 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 13*i + 19. Let m be u(10). Let y be (m\/(-77))\/(6\/7). Which is the third smallest value? (a) 4\/3 (b) -3 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 6 + 2 + -3. Which is bigger: u or 2\/27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 10. Let a be q(-8). Let o be 27\/(-12)*96\/(-72). Solve 4*r + o*k = 8, 3*r + k - a = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(95\/57)*(-75)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 973091285.\nAnswer: 10704004135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3585 divided by -3520\nAnswer: 717\/704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63 and -0.8.\nAnswer: 62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77906?\nAnswer: 2, 38953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12726.\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(3\/4))\/(o*o**(-2\/9)))\/((o\/(o\/(o**(-3)\/o)))\/(o**(-1\/2)\/o*o)))\/((o**(3\/8)*o**(5\/3))\/((o*o*o*o**(-3\/11))\/o**3)) assuming o is positive.\nAnswer: o**(1709\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24*d + 74. Let j be h(3). Suppose 2*o + 3*n - 1593 - 304 = 0, -3*o + 2852 = -j*n. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 1401*k - 9812. Calculate n(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwcfwfywcc. What is prob of picking 2 c and 1 f?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*b = -55, 2*a - b = 3 + 52. Suppose o + 4*o - a = 0. Let w(m) = -m**2 + 7*m - 2. What is the units digit of w(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 0.09.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from pbbbbbbbpbp.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/(-55) + 2\/(-11). Let j = 16 + u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:42 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -33975*p - 1800583. Calculate i(-53).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) + (sqrt(1225) - 1*sqrt(1225) - sqrt(1225)) - 6*sqrt(225))*2)\/((sqrt(30) - -1*sqrt(30)*-3)\/(sqrt(6) - (sqrt(1350) + sqrt(6)))).\nAnswer: -270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28512 is divided by 9469.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 726299.1 litres?\nAnswer: 726299100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-16)\/m)\/(m**(-7)\/m))\/(m**(-3\/2)\/m)**9 assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 7*v + 39. Suppose 5*p = -4*d - 20, v*p - 7 = 3*d + 8. Solve 5*s - 2 = o, 3*s + p*o + 2 = -o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*x + 14 + 18 + 1256*x.\nAnswer: 1757*x + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 22*l**2 + 3*l - 14. Calculate a(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -383, -381, -379, -377?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(4559\/(-1067)))\/(2\/(-8))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 2017, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*-18\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 326*p**2 - 658*p + 330.\nAnswer: 2*(p - 1)**2*(p + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -177795810*s**2 - 23202353205*s - 180388067162 - 439418468467 - 485318782908 - 106037518764 - 681210*s**3 - s**5 - 1305*s**4 = 0.\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 2399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + -2*sqrt(847)*-3)*2 + -2)**2.\nAnswer: -1848*sqrt(7) + 122017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) 4 (c) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -737*v**7\/42 - 551*v**3\/6 + v**2\/2 - 1840*v. Find the second derivative of u(i) wrt i.\nAnswer: -14740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.018 times -3\nAnswer: 6.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5456 and 112?\nAnswer: 38192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -25*c + 3. Let u = -52 + 36. Let d = -17 - u. Is a(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bba56 (base 13) in base 11?\nAnswer: 212581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2818929 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 118\/(-8) + 5\/(-20). Let w be k\/10 + 6\/4. Let l = 4 - 6. Sort w, l, -4 in decreasing order.\nAnswer: w, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 - 21 = 0. Let h(g) = 4 + 0*g + a + 2*g. Let t(u) = -u - 5. What is 3*h(j) + 5*t(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1582*x + 621. Let s be q(-9). What is the greatest common divisor of s and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 3*r - 14*r - 28*r - 16*r + 3*r + 5*r.\nAnswer: -47*r + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*x = -124*x + 2*n + 434, -n = -3. Suppose 0*b - 55 = -5*b. Calculate the highest common factor of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c + 0*c**4 + 1\/6*c**3 + 0 - 1\/60*c**5 - c**2. Let t(g) be the first derivative of y(g). Let k(j) = -j. What is k(t(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*t**2 - t**4 - 41*t**2 + t**5)*(3 - 4 + 2).\nAnswer: t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31 - 31 + 15*i + 0*i + 2*i - 3*i + (-6*i + 2*i + 2*i)*(4 + 2 - 5).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -46. Which is the second smallest value? (a) -0.4 (b) 1 (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**3 + 270*h**2 + 2*h - 2. Let j(w) = 16*w**3 - 544*w**2 - 3*w + 4. What is -4*j(u) - 7*z(u)?\nAnswer: -u**3 + 286*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.3, 4, 0.1, 11\/2 in descending order.\nAnswer: 11\/2, 4, 0.1, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x*z**2 - 28*x*z - 9*x - 271561*z**2 + 2 wrt x.\nAnswer: -4*z**2 - 28*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5787214 micrometers to meters.\nAnswer: 0.0000005787214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5632 and 447158272.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15890000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0178 from -21.61.\nAnswer: -21.6278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68846?\nAnswer: 2, 29, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 254024 divided by 2\nAnswer: 127012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*r**3 - 53*r**3 + 94*r**3 + (0*r**2 - 2*r**2 + 4*r**2)*(0*r - r + 0*r) to the form h + y*r + q*r**2 + w*r**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qss when three letters picked without replacement from ssqqqqsqqqsqqs.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 28. Suppose -f = 4*f - 2*u - 23, 5*u = 4*f - 15. Suppose -4*q + 5*q + f*r - 137 = 0, -8 = -l*r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s. Let f be g(-7). Let m = 11 + f. Suppose -5*y - m*c = -5759, -y + 0*c = -c - 1150. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(7 + 1 + 16503*q - 16502*q).\nAnswer: q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42130\/(-33))\/(-1*(-4)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126669 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from yronwkrn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573623593 by -1.\nAnswer: 573623593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2. Let s(t) be the first derivative of 19*t**4\/12 - 5*t + 36. Let b(o) be the first derivative of s(o). Give -4*b(r) + 9*d(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802*d**2*s**2*u - 154698*d**2*s**2 + 12*d**2*s + d**2*u - 252*d*u wrt u.\nAnswer: 802*d**2*s**2 + d**2 - 252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2) - (-44)\/(-1 + 5). Solve w*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**3 + 35*v**2 + 85*v - 7. Let c(o) = -5*o**3 + 17*o**2 + 44*o - 4. Let y(w) = 7*c(w) - 4*m(w). Find the second derivative of y(i) wrt i.\nAnswer: 6*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1299 + 2605 - 1306 + 1062*d to t*d + h and give t.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from rrbbbbbbbbrrbb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2545\/14447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*f + 10 = -6, f = 4 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/4 - 17*y**3\/3 - 74. Let t be a(17). Solve 3*v - 2*k - 2 = -v, -4*v - 4*k - 28 = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by (((-12)\/(-30))\/((-2)\/(-450)))\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31004*g**3 + 50014*g**2 wrt g?\nAnswer: -186024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -1. Let x be (0 - -1)\/((-3)\/12). Let v(r) = -4*r - 10. Let t be v(x). Solve h - t - p = 5*k, -2*k - 14 = -2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -2.84?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*x - 58 - 12, -x = 2*n - 37. Calculate the greatest common divisor of x and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 3*l)*(3*l**2 - 2*l**2 + 0*l**2) + 0*l**2 + 2*l**2 - 2*l**3 + l**2)*(-2*l**2 + 5 - 5).\nAnswer: -2*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.4 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -0.43. Let v = -0.3 + k. Let q = -0.35 - v. Round q to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*r*s**4 + 103*r*s + r wrt s?\nAnswer: 996*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2150105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from haajijg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 6. Let b = q - -11. Solve j - b*u + 5 = -3*u, j = 2*u - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j**2 + 5*j + 5. Let c(z) = z**2 + z + 1. Suppose 20*h = 5*h - 630. Let s = -37 - h. Determine s*c(q) - w(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*d - 52 - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 2*k - 2*k)*(4 - 3 + 0) - k**3 + 2*k**3 + 0*k**3 + (271*k - 271*k - 6*k**2)*(-2 + k + 2) to z*k**3 + f*k + s*k**2 + w and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = 117. Suppose -i = j - 16 - 5, -4*i + z = -5*j. Calculate the lowest common multiple of i and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsivsfssssvfvsss. What is prob of sequence issv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 10) + (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 9*p**2 + 5*p - 4. Let g be s(5). Let n = 29 + g. Suppose 7*i = 3 + n. Solve 0 = 4*m - 4*u, u + i*u = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16. Solve x = 3*l - 3 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 386358.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-56 - -23) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7284.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -76. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517 + 151 + 153 + 212 - 38*c.\nAnswer: -38*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*f + 2*y - 18 = 0, 28 = 4*f + 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a factor of 128863205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 0. Let z = 7 + a. Let b = 7 - z. Solve 12 = -3*l + b*o, 5*l - 3*o = -3 - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 7*n - 3540. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -97*n**2 + 10*n. Let x(c) = -97*c**2 + 8*c. What is -4*b(i) + 5*x(i)?\nAnswer: -97*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 1195*r**3 + 1123*r**3 - 2316*r**3.\nAnswer: 2*r**3 + 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1015)\/(-1450)*20\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 43416823*a**3\/5 + 125668037522010*a**2 + 3031170872328112380052*a\/5 + 3031170243987968186824\/5.\nAnswer: (a + 1)*(a + 14472274)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 27. Calculate the remainder when 190 is divided by -4 + v + -4 - -23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i. Let g(t) = 17*t - 1. Let m(c) = 6*g(c) + 13*k(c). Suppose 3*f + 24 = -6. Let p be m(f). Solve 5*a + 3*z = p - 1, -3*a + z + 19 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncvncnnnvncn. What is prob of picking 2 n and 1 v?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854\/2856*8\/(-2)*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9761 and -0.4?\nAnswer: 9760.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:02 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g**(6\/5)\/g)**(-44) assuming g is positive.\nAnswer: g**(-748\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630496?\nAnswer: 2, 3, 11, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 145 + n - 4*n + 5*n - 144. Determine q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74886.\nAnswer: 2, 3, 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 4, y: 1, k: 1, q: 1, v: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**10\/15120 + z**9\/7560 + z**4\/24 + 2*z**2. Let p(l) be the second derivative of q(l). Find h such that p(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 126 - 126)*(85*n - 168*n - 35*n).\nAnswer: 354*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -12*q + 8*q + 20743, -q = 2*d - 8299. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 8*r + 2. Let y be g(-7). Let f = y + 17. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 438, 908, 1410, 1944, 2510, 3108?\n\"Answer: 16*c**2 + 422*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28821 - -40900. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14853, -59442, -133759, -237804, -371577, -535078?\nAnswer: -728307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 9*l**2 + 9*l + 3. Let r be u(-8). Let i(y) = 4*y - y + 5 + 4*y**2 + 2*y**2 - 4*y**2. Does 8 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-19 + 9) - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3537 * -396.\nAnswer: 1400652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82177.45 decades in months?\nAnswer: 9861294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12858614?\nAnswer: 2, 31, 157, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 12)*(3*x - 3*x - 2*x - 6*x + 3*x + 2*x + (-2*x - 1 + 1)*(4 + 2 - 5) + 0*x - 2*x + 0*x) + 2*x - x - 2*x.\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let o(v) = 9*v**2 - 9*v. Let y(x) = -o(x) - 5*q(x). Factor y(a).\nAnswer: a*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 4*w + 31, -4*p + 8 = -w. Let c = p - -2. Differentiate 9 - c*l**4 - 2 + 2 wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43222858 to the nearest integer?\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:57 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491175.\nAnswer: 5, 7, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 20*h = -8*h + 11*h. Solve h*z = 6*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/11 - 1446*q**4\/11 - 323682*q**3\/11 - 20884570*q**2\/11 + 21209700*q\/11 = 0.\nAnswer: -305, -114, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - 23?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69192 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from wpcpwpppwppwpbpc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 128 in descending order.\nAnswer: 128, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/239, -0.4, 1\/7, -32, -46\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1550378 decades in years?\nAnswer: 1.550378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139654 is divided by 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 8. Let a be (2\/(-7))\/((-300)\/(-700)) + 33\/9. Solve -a*i + 3 = -5*r, -r + m*r - 4*i = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -4. Let o be 3\/(-3 - c) - 1584. Let u = 6375\/4 + o. What is the common denominator of -1\/7 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14067036 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 6. Suppose 8 = q + y*q. Let u be (1\/q)\/((-9)\/12). Which is the third biggest value? (a) -5 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 1\/7 (c) -5\/2229 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 216.82 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 4*i - 1. Let l be c(-3). Let r(g) = 5*g - 3*g**l + 9*g**2 - 4 - 4*g**2 - 3*g**2. Let x(y) = -y**2 + 2*y - 2. What is -2*r(a) + 5*x(a)?\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 5*i + 6. Let t = -14 + 8. Let r be w(t). Suppose r = 3*l - 0*l - 24. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -272 + 2747\/10. Let c = -89 + 189\/2. Calculate the common denominator of c and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*i = 2*v - 26, 3*i - 21 = -3*v. Let t = -13803 - -13847. What is the remainder when t is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/11 - 6\/(-33). Suppose -3*u - 5*v = -4*v, 2*u - 4*v = 0. Solve u = 3*r - 3 - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 485, -108, 4.\nAnswer: -108, -4, -3, 4, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:23 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16946.604 months to decades.\nAnswer: 141.2217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -24*d**2. Let w(m) be the third derivative of 5*m**4\/4 + 4178*m**2. Determine v(w(p)).\nAnswer: -21600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 384\/4445539 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.08, -369, 4, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**3 + 1489158*k**2 - 1489158*k**2.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20a364 (base 12) to base 5\nAnswer: 112443302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db650 - 2?\nAnswer: -db652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 20*w**2 - 19*w - 36. Let x be m(21). What is the greatest common factor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 4*o + 2*o)*(-4 + 5 - 8)*(1 - 1 - 2*o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000716349 rounded to 6 decimal places?\nAnswer: -0.000716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509*c - 1229*c - 356996 = 32*c + 109*c for c.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:27 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 + 78. Suppose -4*f + j = 61. Let v = f - 489\/10. Which is the biggest value? (a) 1.2 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 184e - 21d55?\nAnswer: -20507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*r**5 - 68*r**3 - 6544*r**2?\nAnswer: -1560*r**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -1 - (-607 - 10). Suppose 3 = z - 0*z, 0 = -2*s - 2*z + v. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 8*c**3 + 5*c**3 - 16*c**3 + c + 0*c**4 - 3*c**4 as m*c**3 + r*c + q*c**2 + a + v*c**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/9 + 0 - (-5182416)\/171477?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 99, 118, 145, 180, 223?\n\"Answer: 4*o**2 - o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v + 5*z, -2*v + 7 + 4 = -3*z. Suppose 5*l - 35 = -5*g, -3*g + 23 = 5*l - 10. Let o be 34\/l - v\/15. Is o > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o + 1007. Let s(v) = 9*v - 1013. What is 9*s(b) + 8*w(b)?\nAnswer: b - 1061","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 14 + -3 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 j when four letters picked without replacement from jqjjjqjjjjjjqj.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189648 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 242, 787, 1668, 2879, 4414, 6267, 8432, 10903?\n\"Answer: -m**3 + 174*m**2 + 30*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:51 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372794 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c**2 - 3*c**2. Let i(p) = -4*p - 2*p + 280 - 280. What is w(i(h))?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61578 + -407?\nAnswer: -62086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by -125222.\nAnswer: -196\/62611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -0.848?\nAnswer: 8.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 4*g - 98. Let f(a) = -2*a - 11. Let q be f(19). Is g at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7303\/(-1005) + 12\/45\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.6 (b) 2\/9 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 3*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 61*v**2 + v**2 + 4*v + 0*v - 68*v**3 - 1.\nAnswer: -68*v**3 + 62*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*14\/28?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i = 152*i. Suppose -297 = -3*v + 117. Suppose -3*d + 6*o - 2*o + 138 = i, -3*d - 2*o = -v. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o. Let k(w) = -2*w**2 + 2*w - 3164. What is n(k(y))?\nAnswer: -26*y**2 + 26*y - 41132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 + 7 + -6. Let q(b) = 2 + 2*b - 1 - 6. Calculate the remainder when 5 is divided by q(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 83 = 4*t, 4*t + t - 20 = 2*f. Let q be f*3*(-16 - -15). Suppose 0 = -k - 2*k + q. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) 1\/4 (d) -3496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -78745.\nAnswer: -6\/78745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13263\/(-65) + (-34)\/(-170). Let y = t - -204. Which is greater: y or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + v = 6, -334*m + 324*m + 3*v = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-2\/7))**38*(z\/z**(1\/3)*z*z*z*z)\/(z**(-2\/9)\/z) assuming z is positive.\nAnswer: z**(5843\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/140 and (140\/(-25))\/(-14)*33\/(-56).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {m: 2, p: 1, s: 1, x: 2, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 4*z + 3*q - 6, -5*q = -2*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.926 - -0.074. Which is the closest to -1? (a) 2\/11 (b) 5 (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 divided by -51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 220222 - 5?\nAnswer: 220215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o**2 - 4*o + 10. Give c(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l - 47*l**2 + 123*l**2 + 13*l + 4*l + 44. Let a be d(18). What is a rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4279324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2a95425 (base 11) to base 5\nAnswer: 2323330232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13381392 by 3742.\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11921, -11824, -11729, -11636, -11545, -11456, -11369?\nAnswer: -11284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*b**2 + 6*b**2 - 249*b**2 - 78*b**2 - 78*b**2.\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 229 + -245 - (-18 - -1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232 + 1391\/6. What is the closest to 2 in -2\/11, -27, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 22, -11, 0, -1, -44 in increasing order.\nAnswer: -44, -11, -1, 0, 22, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 6. Let d be q(2). Let k(y) = -y**2 - 12*y - 16. Let v be k(d). Suppose -v*g - b + 192 = -2*b, -g + 2*b + 48 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7441, -29891, -67309, -119695, -187049, -269371, -366661?\nAnswer: -478919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15414588*u + 19*u**2 - 15414588*u + 30829176*u.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/6 + 49513*h**3 - 22064428669*h**2\/6 + 14709024962*h - 44126480738\/3 = 0.\nAnswer: 2, 148537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21262 + 162?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6242207 divided by -2.\nAnswer: 6242207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 2.41\nAnswer: -0.1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, -303, 5, 0, 31.\nAnswer: -303, -4, -2, 0, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 6. Let n(a) = -a**2 + 2*a + 5. Let y be ((-112)\/168)\/(4\/18). Calculate y*n(w) + 2*t(w).\nAnswer: 3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 - 7*y - 10. Let o be (3 + -1)*(-2)\/2. Let b(x) = -x**2 + 2*x + 3. Let s(w) = o*q(w) - 7*b(w). Let g = -47 + 49. Determine s(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - z + 5*z + 12 = 0, -4*t - 3*z = -22. Suppose j - t*j = -18. Let a(c) = 6499*c + 6. Let m be a(j). Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47311*c - 47421*c = 1760 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by ((-3)\/(-3)*-28)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2 = 10*c, 746*f - 2*c = 741*f - 38 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -409, -533, -661, -793, -929?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20011200012 (base 3) to base 9.\nAnswer: 204605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14\/5 + -3\/20. Let u = -1683\/10 + 170. What is the common denominator of p and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841378.9 nanometers to millimeters.\nAnswer: 0.8413789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 13, 34626, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 + 4*h**2 + 5*h + 6. Let w(r) = 5*r**3 + 3*r**2 + 4*r + 6. Let t(o) = -6*b(o) + 7*w(o). Is 9 a factor of t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p*p**(-6))\/p)*p**(-4))\/(p*p**0*p*p)**43 assuming p is positive.\nAnswer: p**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1526*a - 1426*a = -2611*a + 9207 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135.01 and -23.\nAnswer: 3105.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/49 + -3443\/980. Calculate the common denominator of (-142)\/(-32) - (1 + -2) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10404 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1507 = 3*r, -9*r + 5*r + 4 = 0. List the prime factors of q.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) + 1 - 105\/45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 42, 68, 104, 150?\n\"Answer: 5*t**2 + t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774721 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959430?\nAnswer: 2, 3, 5, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35.389856 times 0.2\nAnswer: 7.0779712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229457001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -443 + 11521\/26. Let o be -5 + 2\/(-2) + (-19)\/(-3). Is l less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**5 - 2 - 1349*s**4 + 60*s**2 - 15*s**5 + 1352*s**4 + 14*s**6 + 14*s wrt s?\nAnswer: 1680*s**3 - 60*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8960 and -67\/2480.\nAnswer: 277760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 528 - 223. Let d = 996 + a. Let f = d + -1301.000000563. What is f rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 31393.3.\nAnswer: 31397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/1 + -18)*(-6)\/24. Solve 0 = b + 5, -n*l + 9*b = 4*b - 40 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 + 8*x + 8. Let o(r) = -r - 1. Let n(y) = 8*o(y) + v(y). Let k(c) = -c**2. Determine n(k(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 4. Let y(a) = -a**2 + 5*a - 5. Let l(b) = 5*p(b) - 4*y(b). Let m(s) be the first derivative of s**2 - 20. Determine l(m(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 5. Let q = -79 - v. What is the smallest common multiple of q and 200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1924584120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 144. Let r = 295 - q. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36473, 72945, 109417, 145889, 182361?\nAnswer: 218833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 6, 4 in decreasing order.\nAnswer: 6, 4, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42140500 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -5*y**4\/24 + y**3\/2 - y**2. Let h(q) = -q**2 + 8*q - 10. Let s be h(6). Determine j(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*m + 249*m = -16, 3*m + 22360 = 4*p. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 8. Suppose -y = -2*z, 2*z = 5*m - 3*z + 45. Which is the closest to 0? (a) -0.4 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 785 - 786. Sort 1, -13, c.\nAnswer: -13, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -9419c0?\nAnswer: 9419c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Let v(k) = -4*k - 5. Let x(f) = 11*r(f) + 2*v(f). Let j be x(5). Suppose 0 = -3*a + 2*a + j. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.94157ng?\nAnswer: 0.00000394157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*l + 122*l + 390 - 9761 = 1900 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -2*z - 1, 95*n = -420*z + 419*z + 196 + 99 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(-29 + 35 + 11*l - 10 + (-4 + 1 + 5)*(-4*l - 11*l - 7*l + (-3*l - l + 3*l)*(-2 - 2 + 3) + 3*l - 3*l + 2*l)) as c*l + m and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/13 - 295936*d\/13 + 10947264512\/13 = 0. Calculate d.\nAnswer: 73984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1)\/(-2))\/(7*6\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0*q*q**(-2\/17)*(q*q**(-2))**(4\/3) assuming q is positive.\nAnswer: q**(-23\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + g**2 - 2*g**2)*(0*g + g - 2*g) - 97*g - 134915*g**3 + 20 - 2*g**2 + 134917*g**3 + 3*g**2 as x*g**3 + k + t*g + l*g**2 and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12875960921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-660)\/(-132) + (-216)\/46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08125? (a) 2\/13 (b) -2 (c) -7\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363836090 rounded to the nearest 100000?\nAnswer: 363800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 7 = 11*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**6 + 0*s**5 + 0*s**2 + 0*s**4 + 0*s - 11 - 13\/7*s**7 - 2\/3*s**3. Find the third derivative of x(v) wrt v.\nAnswer: -1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/2)\/(-1)*20\/(-35). Let x(w) be the first derivative of -1 + r*w - 5\/2*w**2. What is the derivative of x(q) wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -122, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3\/5*v**4 + 336\/5*v + 48\/5*v**3 + 147\/5 + 234\/5*v**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.135 and -1.9.\nAnswer: -1.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 3, f: 2, x: 2, y: 1, l: 4}. Give prob of picking 1 n and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbaabccbbb. What is prob of sequence ab?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 9. Determine i(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*c + 2*c - 3*k, -2*c = k + 72. Suppose 0 = -2*d - r - 9, -254*r - 15 = 2*d - 259*r. Sort c, 0, d, -1.\nAnswer: c, d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 - -646. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-1 + sqrt(425)))*5 + sqrt(425))**2*5.\nAnswer: 250*sqrt(17) + 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*m + 3 = 0, -37 = a + 3*m - 46. Solve 2*y - 1 = -l, 4*y = -l + a*y + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(1008) + 0) + (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + sqrt(1008) + 1 - sqrt(1008))**2*5)) + 4 + -4 + 1*sqrt(7)*-3.\nAnswer: 189*sqrt(7) + 20164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 3661448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -54, 5, -95 in descending order.\nAnswer: 5, -3, -5, -54, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351010*z**3 - 36314?\nAnswer: -1053030*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 24976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2076 (b) -1 (c) 2\/7 (d) 4 (e) -9 (f) 1\/4 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299696706.\nAnswer: 2, 3, 17, 326467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/44 - 2\/(-8). Let x = 0 - 1. Let n = -2 + x. Which is the smallest value? (a) -0.2 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 x when three letters picked without replacement from {b: 1, u: 1, w: 2, o: 1, x: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**4 - j**4 + 0*j**4 + 4 - 2*j**4 wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -4\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*c**3*f**2*h**3*y**2 - c**3*f*y**3 - 2*c**3*h**3*y**3 + 15*c**2*f*h**3*y**2 + 3*c**2*h**3*y - 3*f**2*h*y**3 + h**3*y**2 wrt f.\nAnswer: 264*c**3*h**3*y**2 - 6*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1751.50007121 + 1751.5. What is y rounded to 6 dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**0*d)**11\/((d**(-1)*d)\/d*d**(1\/2)) assuming d is positive.\nAnswer: d**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4187382.\nAnswer: 2, 3, 697897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23739, 32679, 47579, 68439, 95259, 128039, 166779?\nAnswer: 211479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -6\/11 (c) -1\/6 (d) 0.17 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -646271 - -1328628. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 10, h = -8*d + 11*d - 158. Calculate the remainder when 362 is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-243))\/(50\/(-60))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115393 is divided by 515?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603294042 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = w + 30, 6*y + 5*w - 32 = 5*y. Let p be 0\/(y + -8 - (-2 - 1)). Suppose 0 = -p*j - 2*j + 1222. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8\/457 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22431.9 - 22432. What is the closest to 1 in h, -4, -475?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6112585 = -2*c - 3*m, -c = m - 0*m - 3056290. Let k = -1326285 + c. What is k rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*h - 1, 0 = -5*b - 4*h + 73. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (387\/(-18) - -9)\/(1\/2). Let b(t) = 20085*t + 125. Let i be b(o). What is i rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*x - 91*x - 26*x - 80*x to the form d + q*x and give q.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1648*h - 3886*h + 1011*h in the form g*h + a and give g.\nAnswer: -4523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*4\/(-12))\/1. Let k(j) = -14*j + 1 - 10 + 1. Let c(q) = -5*q - 3. Let b(h) = -11*c(h) + 4*k(h). Calculate b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97 or 130236\/1357?\nAnswer: 130236\/1357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45218 is divided by 45113.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*q**2 - 340*q**2 + 35*q - 737*q**2 - 35*q.\nAnswer: -739*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -8\/3 (b) 28898.9 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {b: 1, x: 2, q: 2, z: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111232146*h - 155634463 wrt h.\nAnswer: 111232146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8240788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100 - -100011?\nAnswer: -100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - j + 0*j to l + o*j and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 58 = -2*g, -335*z + 333*z - 4 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4 = -11*d, 12073 - 12023 = 5*d + 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/4176 - (-16)\/1914 - 8\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2*q + 9, 0 = 5*t - 5*q - 75. Suppose -6*i + 2*i + t = 0. Let j be (4\/i)\/((-2)\/(-5)). Which is the third smallest value? (a) j (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396)*-2 + 5 - (0 + sqrt(396)*-4 + 2))*5)**2.\nAnswer: 1200*sqrt(11) + 39700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7853?\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -46.1. Let a = h - 0. Let j = a + -45. Sort 4\/7, -0.06, j in descending order.\nAnswer: j, 4\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-21))\/((-2)\/(-14)). Let k(z) = -2*z + 3. Let r be k(m). Let t = 26 - r. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -929 or -20344?\nAnswer: -20344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -2*n + 117. Suppose -1433 = -3*h + 4*g + 8135, 5*h = 3*g + 15943. Suppose -h = n*d - 13*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*((-11)\/(-33))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8445, -16919, -25387, -33849, -42305, -50755, -59199?\n\"Answer: 3*v**2 - 8483*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(6\/((-36)\/6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -605*l - 152. What is the tens digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 1101 = -139. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 48. What is the least common multiple of t and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2150226 and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1*-1*sqrt(256) + sqrt(256))*-4)\/((2*2*sqrt(80))\/(sqrt(80)\/sqrt(32) - sqrt(10))))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9357990?\nAnswer: 2, 3, 5, 17, 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -77*k - 2688. Give u(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 7 - 2*m**2 + 5*m + 5*m**4 + 9 to the form b*m + w*m**3 + h*m**2 + i*m**4 + s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-11*k - 62*k + 30*k)*(-204 + 12*k + 204).\nAnswer: 2064*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by 1289.\nAnswer: 276\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - -2.2. Let d = j + -4.5. Let y be 4*(1 + 70\/(-68)). Which is the smallest value? (a) 0.3 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2 + 2. Let f(t) be the first derivative of 1\/2*t**2 + 3 + 0*t. Give x(f(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**2 + 9*o + 5. Let t(f) = 2*f**2 + 1. Let m(q) = 5*t(q) - w(q). Factor m(z).\nAnswer: 3*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -206. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8*d - 47*d + 36*d**2 + 106*d + 103*d + 196 + 14*d = 0.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 5032210?\nAnswer: -5032205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -4291 (c) 110 (d) 1\/5 (e) 0.1 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -43 + (32 - (78 - -27))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420001 - -2220141?\nAnswer: 3140142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1255 - 1219 = 4*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121665819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t**3 + 5 - 12*t**3 - 5.\nAnswer: -59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 4 = 3*h. Suppose 11*u = -h - 8. Is 1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*l - 9, s + 5*l + 17 = 0. Suppose -i = -r, i - s*i = -3*r. Let y = 37\/10 - 16\/5. What is the second biggest value in y, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-48 - -66) - 31\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q + 21*q**2 - 29*q**2 + 4*q wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442904 or 442906?\nAnswer: 442904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.72341 milliseconds in microseconds?\nAnswer: 57723.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 3*h + 3. Let g be c(-3). Suppose 4*y = 3*y + g. Suppose y = 4*j + 5*d, d - 1 = j - 4. Calculate the greatest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, -4, 18 in descending order.\nAnswer: 18, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 48781 = -1433. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6768032, 6768033, 6768034, 6768035, 6768036?\nAnswer: 6768037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.8. Sort 3\/2, -2, k in descending order.\nAnswer: 3\/2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 4, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 3 + 27*h**2 - 8*h**2 + 2*h - 14*h**4 - 6 + 14*h**2 to the form p*h**3 + a*h + l*h**4 + m + s*h**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*r + 51, 266*r + 67 = -4*i + 271*r. Which is smaller: 1\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 + s + 4. Let n(t) = 19*t**2 + 2*t + 9. Let a(i) = 6*n(i) - 13*v(i). Calculate a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19323 greater than -19324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/5 - 8\/15. Let k be 2\/(-10)*(-2)\/3. What is the closest to -2\/7 in k, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80573 by 5165.\nAnswer: 80573\/5165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(10 - (1 - -11)). Find n, given that 2\/5*n + 2\/15*n**2 + k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-930)\/(-130) + -14 + (-22)\/143?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/21 and -47\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/7 + 1596*m - 3421768.\nAnswer: 4*(m - 1421)*(m + 4214)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6*3*(-585 - 4). Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3004272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {o: 1, u: 3, b: 4, n: 10}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 13*x - 27. Let n be i(9). Let j = n - 80. What is the third derivative of 50*f**6 - 21*f**6 - j*f**6 - 28*f**2 wrt f?\nAnswer: 2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -934*g**3*u - 3*g**3 + 22*g**2*u - g**2 + 21864*g*u - 14*g + u wrt g.\nAnswer: -5604*g*u - 18*g + 44*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22 and 109\/184034.\nAnswer: 2024374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -17053361000 to the nearest 1000000.\nAnswer: -17053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -5. Let o = m + 10. Let l = 31\/2 + -97\/6. Which is the closest to l? (a) 1 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 660.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 52*a**2 - 38*a. Let o(u) = 29 - 63 + 4*u + 21 + 13. What is o(l(t))?\nAnswer: 208*t**2 - 152*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01388637087 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1399291*-26\nAnswer: 36381566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.104 >= -348996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.94 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.624 to 1 dp.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36020891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 150656 less than -7?\nAnswer: -150663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5994722 - 2*k**4 - 92*k**3 + 1568*k**3 + 5994722 + 5*k**4 = 0.\nAnswer: -492, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.187932 * 0.108.\nAnswer: 0.560296656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/80 + 3*y + 4. Factor w(x).\nAnswer: -x**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 + 8292*l**2 = 0. What is l?\nAnswer: -2073, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 149*g**4\/6 + 3*g**3\/2 - 5*g**2\/2 + 191*g. What is the units digit of j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22156 - 22153. Solve 8 = -m + 4*l, -m + v*l = 2*l + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppcpcpp. Give prob of picking 1 p and 1 c.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -231, 29, 521, 1323, 2513, 4169?\n\"Answer: 13*r**3 - r**2 + 18*r - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 173.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -0.2864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s - 4. Let h(n) = n**2 - 2. What is the lowest common multiple of i(-3) and h(4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2615 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -50, -37?\n\"Answer: 13*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19489 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167060 is divided by 54962?\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -39. Suppose 117 - 47 = 2*x. Calculate the remainder when x is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-9))\/((-325)\/(-780))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*r + 15, -r - 5 = -2. Put s, -1, 5 in descending order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r**2 + 80*r - 21. What are the prime factors of o(-28)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 2. Let b = 6 - 4. Let q be u(b). Suppose -8 = -q*j - 2*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n**3 + 13*n**3 + 3*n**3 + 3)*(-4*n - 3*n + 3*n).\nAnswer: 4*n**4 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**2 + 0 + k**3 - 6 + 1 + 6*k - 2*k**2. Suppose 2*x + 3*l = 8*l - 2, -4*x - 4*l = 32. What is a(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/41 - 49\/328. Let g = 22 - 24. Let n be 0 + -3 + (g - -1). What is the smallest value in n, m, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*p + 12 = 0, 0*u - 5*p + 10 = -5*u. Calculate the remainder when (-9)\/(-3) - (-12)\/u is divided by (-10)\/(-4)*1*12\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -583753*-5\nAnswer: 2918765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 8*g - 6. Let i(z) = -5*z**2 + 15*z + 11. Let m(s) = 4*i(s) + 7*u(s). Let w be m(-3). Is (181 + -4)*w*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + 52 + 36 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 20 = -26*v. Let l be 26\/(-30) - (-2)\/10. Put v, l, -2 in ascending order.\nAnswer: -2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/7 (c) 1\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(0 + 0 + 1). Suppose a = -4*s - 2 + 10. Find the third derivative of -5*y**6 - y**s + 3*y**2 + 9*y**6 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*p*w + 8*f*p - 47633*f*w - 417002*p*w - 2*p - 26 wrt f?\nAnswer: -2*p*w + 8*p - 47633*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/21*8\/6 - -6. Which is smaller: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from isiiiissiiissisissis.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 + -124. Suppose g = -3*g - 12. Which is the biggest value? (a) i (b) -2\/21 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 253745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35312032 - 2?\nAnswer: 35312030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**10*x*x)\/x)**(4\/35) assuming x is positive.\nAnswer: x**(44\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*g - 8, 5 - 3 = g + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 3. Let y = 13 - 16. Let t be (0 - -1) + (0 - y). What is o(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 104.\nAnswer: -7\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 47, 41, 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -400, -5, 2 in descending order.\nAnswer: 2, -2, -5, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 9*k + 2. Let n be g(10). Let q = 15 - 6. Let i = q + 15. What is the greatest common factor of i and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 + 31510*p**3 = 0. Calculate p.\nAnswer: 0, 6302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/906? (a) -5 (b) 3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 10*y - 6. Let g(t) = 4*t + 1. Let x be g(-2). List the prime factors of k(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 6 - 6, 5*l - 7 = x. Suppose -l*r + 2*t + 6 = 0, -4*r = 4*t + 13 - 33. Let u = 14 + -13. What is the lowest common multiple of u and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - s + (-s + s - 2*s)*(-3 + 2 + 2) - 2*s + 0*s + s - 2*s + 3*s + 0*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13573826*h**3 - 1769*h + 4502.\nAnswer: 81442956*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1808779113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1344 and 19\/24480128?\nAnswer: 514082688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5 + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 794162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:30 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 - l**2 + 9*l + 5. Let s(h) = 2*h**2 - 4*h + 14*h**3 + h**2 - h**2 - 8 - 10*h. Let x be 2*(2 - 2\/(-4)). What is x*s(o) + 8*j(o)?\nAnswer: -2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 231594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/10223 or -1?\nAnswer: 20\/10223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 5) + (4 - (0 + 1)). Suppose 4*o + 1123 = 3*n, 2*n + v*o - o = 777. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5*n + 1. Let y(j) = 2*j**2 + 9*j + 3. Let x(o) = -7*r(o) + 4*y(o). Calculate x(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3379458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.5. Let p = 0 - t. Let n = -5.5 - p. Which is the smallest value? (a) 2 (b) 4\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6 + 5*o - 3*o**2 + o**3 + 3 - 2*o**2 - 4. Let h be f(3). Let g = h + 18. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71438 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 + 6*x. Let q(k) be the second derivative of -k**4\/12 + k**3\/3 - 33*k. Let c(b) = n(b) - 3*q(b). Let o(v) = -26*v - 1. Calculate o(c(p)).\nAnswer: 26*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8925.35 and -7.\nAnswer: 62477.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*(-2)\/(-1)*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**3\/6 + 3*v**2\/2 + 28*v - 1. Let g(r) = -2*r + 2. Let f be g(-2). Calculate n(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156 = 4*c - 1644. Suppose 3*p + y - 430 = 0, -126 = 4*p + 2*y - c. List the prime factors of p.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x + 76*x - 6 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x**3 - 10*x**2 + 53*x - 48. Let q(g) = -9*g**3 - 9*g**2 + 54*g - 48. Let w(r) = 2*h(r) - 3*q(r). Solve w(p) = 0.\nAnswer: -12, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncb when three letters picked without replacement from {j: 4, b: 1, c: 1, n: 6, x: 1, z: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + (3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7888 = -8*g - 8*g. Let v = -498 + g. Sort v, -4, -14, 3 in descending order.\nAnswer: 3, -4, v, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 9253.1?\nAnswer: -46265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -291214\nAnswer: -3\/291214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 36, 53, 70, 87?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 - 32*f**2 - 213*f + 659. Give j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-3))\/((-2)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = c + 4, -16 = 3*m + 4*c. What is the remainder when 51 is divided by 225\/(-125)*(m - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/247, 1\/2, -39, 3932 in ascending order.\nAnswer: -39, -0.5, 2\/247, 1\/2, 3932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.6 and 381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u - 4. Let j(q) = 10*q - 3. Suppose 56 = -27*h - 23*h - 94. Give h*j(v) + 2*r(v).\nAnswer: -8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 7, d: 1, y: 3, q: 3, t: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Let o be f\/((-5)\/((-15)\/(-6))). Suppose o = 2*l - 4*l + 8. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -19*x**7\/105 - x**4\/12 + 121*x**3\/6 + 6*x**2 + 19. Find the second derivative of p(a) wrt a.\nAnswer: -456*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23396774 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.2342201642 from -33.\nAnswer: -38.2342201642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-7 + -1 - (120\/(-12) + 1)). Put d, 2, 17 in ascending order.\nAnswer: d, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -143090 and -26.6?\nAnswer: 143063.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 536746.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let c(d) = d**3 - 6*d**2 + 7*d - 3. Is c(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/5 + (-2)\/(-5). Let h(i) = -i**2 - 1. Let v(l) = 3*l**2 - 3*l + 2. Suppose 6*w = -w + 7. Let s(f) = n*h(f) + w*v(f). Factor s(y).\nAnswer: -(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/4 - 7567*r\/2 - 57259489\/4 = 0.\nAnswer: -7567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o - 1. List the prime factors of j(5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(8*(-72)\/(-1536))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s*u**6 + s*u**4 - 50*s*u**2 + 2*s*u + 26196*u**4 + u**2 - 462 wrt u.\nAnswer: 600*s*u**3 + 24*s*u + 628704*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3693464 times -82?\nAnswer: 30.2864048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 32 = -2. Let k be (-26)\/(-28) - d\/(-4). Is -2 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143880155?\nAnswer: 5, 67, 307, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 20, 5*o + 10 = 5*a. Suppose -5*m - 3*v = 318, -m + 0*v - o*v - 65 = 0. Let f = m + 63. Is 1\/36 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 1660*x**4 + 81105*x**3 - 961220*x**2 + 709660*x + 1750320 = 0 for x.\nAnswer: -52, -1, 2, 9, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*i + 81. Let l(x) = 2*x**2 + x**2 - x**2 + x**2 - 5*x - 5. Let a(k) = k**2 - k - 1. Let p = -6 + 0. Give i*l(o) + p*a(o).\nAnswer: -3*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 20 = -2*f, 7*f + 82 + 8 = -2*f - 0*t - 4*t for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52106605.\nAnswer: 5, 571, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026078946 rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*z - 15 = -0*r, 5*z = 2*r - 26. Let a be 2*2\/(4\/5). Let m be (a\/(-2) + -2)*(-2)\/r. Solve 4*w - 3*f - 17 = 0, -m*w + 8*w - 2*f - 23 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2138288.565503 - -2138290. Let f = b + -1.46349638. Let z = 0.029 + f. Round z to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 1, -2*w - 2 = 4*m. Which is bigger: -3\/86 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121737547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 7*l = -h + 490, 1492 = 3*h + 4*l. Calculate the lowest common multiple of h and 4.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x - 4. What is t(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from fmqfpfofm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 36 = -t. Suppose -r = 3*q - 1, 2 + 4 = -3*q. Solve -r*y + t = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 4*l**2 + 3*l - 2. Let i be n(-2). Does 4 divide 162\/72*i\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/405324 and 91\/54.\nAnswer: 405324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1846 - 1850. Let x(l) = -4 - 1 + 0*l**2 + 2*l**2 + 4*l. List the prime factors of x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877209.1 hours in days?\nAnswer: 119883.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 + 0 + 0)*(-26*n**2 + 14*n**2 - 10*n**2).\nAnswer: 132*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n = 3088. Let h = n + 550. List the prime factors of 14\/98 + h\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/((-12)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by 2.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 65, 137, 279, 515, 869, 1365, 2027?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.605563 decades to millennia.\nAnswer: 0.08605563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 15. Let m be x(-8). Is 7 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4 + 15?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(-3 + (sqrt(80) - 6*sqrt(80)*4))*-2 + -3)**2*-6.\nAnswer: -1016694 - 28704*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1559*r**3 + 3000*r**3 - 1489*r**3.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20605 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1569511, 1569489, 1569467?\n\"Answer: -22*l + 1569533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55739293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13137, -26275, -39413, -52551, -65689, -78827?\nAnswer: -91965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866454.7 days to microseconds.\nAnswer: 74861686080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*-2 - sqrt(117)))*1 - sqrt(156)\/(sqrt(60)\/sqrt(5))*-3)**2 + 3.\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423975*l**4 - 2*l + 115966.\nAnswer: 5087700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -223, -11 in decreasing order.\nAnswer: -3, -4, -11, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 16}. Give prob of picking 3 p.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 3*z. Calculate t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32909.\nAnswer: 32909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - 27\/(-4). Let f be 2\/a - 76\/(-28). Let o(b) = -f*b - b**3 - 1 - 4*b + 8*b. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8))**(-50)\/((l\/(l*l**(1\/6)\/l)*l)\/(l*(l*l**(-6\/5))\/l)) assuming l is positive.\nAnswer: l**(-1247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - 3*j - 3. Let d be p(-2). Let x = d - -25\/3. Which is the nearest to x? (a) -1 (b) 3\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.032 (b) 51\/5 (c) -71.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 524.221 - 524. Let m = 4.779 + h. What is the closest to m in 1\/6, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*0\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 39430*o**2 - 224*o - 905. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/(-9) - (-52)\/78. Let l(c) = c**3 + 11*c**2 + 20*c - 9. What is l(t)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 + 4*d**4 - 2*d**4 + (-1 + 1 + 2*d**2)*(d - d - 2*d**2) - 66*d**4 - 31*d**4 - 76*d**4 as v*d + p + t*d**3 + x*d**4 + q*d**2 and give x.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l + 5. Let b be z(0). Is 6 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*b*d**2*o*y**2 + b*o*y**3 - b*o*y - 4*b*y - 13*d**2 - d*y**3 wrt o?\nAnswer: 15*b*d**2*y**2 + b*y**3 - b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 3*m**2 + 450 - 450.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 9*k**3 + 11*k**3.\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/3*z - 4 - 7\/3*z**2.\nAnswer: -(z + 3)*(7*z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0*l - 37*l + 5*l. Let s(m) = -2*m. Give s(n(p)).\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/281233 or 1?\nAnswer: -4\/281233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*1200\/(-5100)*(-2)\/(-16).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1881)\/(-77) - 23\/(483\/(-12)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3 and 47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 347, -3, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16 + 9 - 8 + 6*y + y**2. What is the remainder when 105 is divided by q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 1476002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -4 (c) 1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 30*y**2 - 33*y + 2. What is d(-29)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(272) + -4 + -1*(0 + sqrt(272)))**2)*-3*2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/3)\/((-4)\/(-2)))\/(-6)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 108953775.\nAnswer: 435815100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 13 + 4 + 9*l - 8. Determine f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/4 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o - o**2 - 1\/2*o**3 + 0 + 1\/24*o**4. Let g = -4 - 1. Give t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2*(-3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 at most as big as 20059\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5*z + 11*r**4*z + 2*r**3 + 49*r**2 - 2*r*z + 2*z wrt r?\nAnswer: 60*r**2*z + 264*r*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 670\/(-12) + 0 + -2. Let k = x - -58. Let h = -36 - -32. Sort k, 2, h in decreasing order.\nAnswer: 2, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(2240)\/sqrt(5)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 x when three letters picked without replacement from {o: 1, z: 1, y: 3, x: 1, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from jjvjjjjjjvjjvvjjvj?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 610157, 5, 3.\nAnswer: 3, 5, 610157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 174238386?\nAnswer: -87119193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1 + 2 + 6\/12*108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/474)*72*(-151)\/7248.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - 5) - (8 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370971471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112312 (base 5) in base 3?\nAnswer: 22010221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let m(u) be the third derivative of -633*u**5\/20 + 28*u**2 + 7. What is m(g(r))?\nAnswer: -7596*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-30)*6\/(12\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1928*z**2 + 6769*z**2 - 51178*z**2 - 4690*z**2 - 19990*z**2.\nAnswer: -67161*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose s + 0*a - 44 = 4*a, s - 44 = i*a. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 + 200940*g - 1205784 = 0. What is g?\nAnswer: -50241, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y - 1. Let t(v) = 4*v**3 + 5*v**2 - 5*v - 1. Suppose -6 = -2*u + 2*o, -16 = -5*u + u + 2*o. Let d(p) = u*w(p) - t(p). Give d(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 222*a - 218*a + 23, 2*t + 38 = -4*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 3*n + 9, 0 = -5*w - 2*n + 20. Solve w*p = 3*s + 17, 2*p + 0*s = -s + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0050447 nanometers to micrometers.\nAnswer: 0.0000050447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62007215 to the nearest integer?\nAnswer: 7874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 9*x**2 + 9*x + 11. Calculate d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -52.1. Which is the third biggest value? (a) i (b) -2 (c) -3\/4 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 7*b - 12. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 + 646*w**3 - 2318786*w**2\/7 + 4623998*w\/7 - 2309736\/7 = 0. What is w?\nAnswer: -2692, 1, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12248, 48898, 109996, 195548, 305560, 440038, 598988?\n\"Answer: u**3 + 12218*u**2 - 11*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.83, 17, 6, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 202973.9 centuries?\nAnswer: 20297.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:13 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(-w**3 + w**3 + 2*w**3)*(2*w - 3*w + 4*w).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1 + y**2 + 0*y - 5*y + 2 + 1. Let j be m(5). What is the tens digit of j - (-69 - (-2 + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247\/6 - 41. Let o = y + 1\/6. Factor -3*f**2 + f**4 - 2\/3 - o*f**3 + 3*f.\nAnswer: (f - 1)**2*(f + 2)*(3*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 26*p**2 + 18*p + 3. Let i(c) = 49*c**2 + 34*c + 5. Calculate 6*i(z) - 11*u(z).\nAnswer: 8*z**2 + 6*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 9. Suppose 6 = -u*t - 3. Let y(g) = -g + 1. Let v(d) = -5*d + 4. Let s(h) = v(h) - 6*y(h). Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227187.\nAnswer: 3, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.988948 less than -91?\nAnswer: -325.988948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2447\/8 (b) -2\/3 (c) -4 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/205405815 and -3\/111595?\nAnswer: 2259463965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.148 - -21.148. What is the closest to -0.1 in -1\/10, l, 1, 2\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 574.0488 + -572. Let m = -0.0488 + v. Sort 0.02, m, -2\/5 in decreasing order.\nAnswer: m, 0.02, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -66, -70, -76?\n\"Answer: -j**2 + j - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:35 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -19 + 51 - (7 + 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11170575 divided by -19095?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2 - 12*z**2 + 4 + 18*z**2 - 2*z - 1. Let h(a) = -5*a**2 + a - 4. Give 4*h(u) + 3*j(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -28. Let y = 32.8 - c. Let w = -2.7935 + y. Round w to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3, 190, -2 in decreasing order.\nAnswer: 190, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llxlxlsls?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*p + 63, 4*u + p = 3*u + 11. Let s be 5558\/(-80) + (-6)\/u. Let b = s + 513\/8. Is -6 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 0 + 0 + (2*z + 3 - 3)*(-z**4 - 4*z**4 + 3*z**4) + z**5 + 2*z**5 + 0*z**5 + (-3*z - z + 3*z)*(6*z**4 - 2*z**4 - 2*z**4).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64734431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 6*n**2 + 5*n**2)*(14*n - 2 - 28*n - 23*n) to the form m*n**2 + s*n**3 + j + f*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3794514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 + -22 + -102 + 88.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -37 + -7 + -5 + -1 + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/2 of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2)\/sqrt(12) + sqrt(162)\/sqrt(36))\/(-2*-3*sqrt(294)).\nAnswer: 5*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypbbqyqcqcmc. Give prob of picking 1 y, 1 m, and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7320 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1715450 smaller than -1715457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z + 44*z + 418*z**2 - 135 + 135.\nAnswer: 418*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 264303975.\nAnswer: 264303975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y - 1. Let p(m) = m**3 - 2*m**2 - 2*m - 3. Let z(d) = -d**2 - 4*d + 3. Let r be z(-4). Let k be p(r). Calculate i(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85612824 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = 0, -2*k + 36 = 4*t + 42 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 34525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29684 times 114\nAnswer: 3383976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(637)*-2)**2 + 4.\nAnswer: -28*sqrt(13) + 2557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 21*z - 4*g - 2*g = 16*z + 3*z + 21, 0 = -g + 4 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 2\/3539 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + 6*r + 1. Let q be t(6). Suppose -4*p + q = -3. Let g be 2*-1 - -2 - -2. Sort -4, p, g in increasing order.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145\/6 - 1039\/42. What is the second smallest value in -1, j, 3, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + 178. Suppose 4*f = 5*s + 371, -3*f + 0*s - 4*s + q = 0. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 150 = -3*j, 12 - 17 = 5*j. What is the remainder when h is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 463*y - 3169. Let l(w) = -503*w + 3169. Let z(v) = 2*l(v) + 3*p(v). Find the first derivative of z(n) wrt n.\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/24 + 987\/12. Suppose 2*f - h = -p, 3*f = 7*f - 2*p - 146. Suppose -3*b + 78 = -f. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 3\/5, 1\/2, 40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2. Suppose p + 4*p = 0. Suppose 5*k + 2*l - 20 = p, 5*k + 0*l + 4*l - 20 = 0. Let q(z) = -3*z**2 + k*z**2 + 2*z**2 - 4*z**2. Determine q(o(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/7))\/i**(-4\/3))\/(i**2\/i*i)**45 assuming i is positive.\nAnswer: i**(-1838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-g - 3*g + 3*g)*((-3*g**2 + 3*g**2 + 2*g**2)*(-2 + 7 + 10) + g**2 - 9 + 5 + 5).\nAnswer: 31*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-10))\/3 - -2. What is the closest to -5 in -0.4, j, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2995.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010010000110 (base 2) in base 12?\nAnswer: -12a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 + -59 - (2 + 1)) + (-3 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*p + 79*p + 2*p**3 + 5*p**2.\nAnswer: 2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15539\/22 - -704. Let v be 3 + (1 - (-78974)\/(-20)). Let b = 3957 + v. Find the common denominator of b and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28919921 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a factor of 1067000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 31*k + 43. Let d be (-240)\/15 - 2*-1. Let m be q(d). Let a(h) = 130*h + 3. Is a(m) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) - -12876 - (-266)\/(-38) a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (323\/(-85))\/(((-391)\/(-85))\/(-23))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - j - 3*j)*(-10*j + 17*j - 15*j)*(73*j - 114*j + 83*j)*(2*j - 2 + 2) as h + d*j**4 + n*j**3 + z*j + r*j**2 and give d.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371 + -371.00000425. Round l to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335731137?\nAnswer: 3, 7, 1181, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2\/3*h - 4\/3*h**2 + 0 - 2\/3*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 7*s**2 - 7*s + 7. Let k be b(6). Let d be (k - (-21)\/(-9))*3. Let r = 1907 + -1907. Sort -8, r, d in decreasing order.\nAnswer: r, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057) + -1*sqrt(2057) + sqrt(2057) + sqrt(2057))*4 + -4 - 3*-1*sqrt(2057)*3)**2.\nAnswer: -1848*sqrt(17) + 907153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397951 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*n - 5, -2*j + 71*n - 3 = 74*n. Solve j = -v - 0*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -3140.\nAnswer: -3\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/593808 and 45\/224624.\nAnswer: 59974608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -178.2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74952 and 353160.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 321233, -6, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 561019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180630 divided by 4.\nAnswer: 90315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aava when four letters picked without replacement from {a: 13, v: 5}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -16\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1861, -6203, -12969, -22159, -33773, -47811, -64273?\nAnswer: -83159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*i = -6*i + 3498, x = -3*i - 3533. Let f = -2242 - x. Is f a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*u**3 + 335*u**2 - 680*u + 220.\nAnswer: -5*(u - 11)*(u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-32) + 7\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -11, -1, 3, 6 in ascending order.\nAnswer: -74, -11, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55676524.\nAnswer: 2, 41, 339491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15440939 is divided by 149912.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/15 + 103*k**5\/10 - 101*k**4\/3 + 1354*k. Factor u(g).\nAnswer: -2*g**2*(g - 101)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(380)\/(sqrt(20)\/sqrt(2)))\/((sqrt(162)*1 - sqrt(2))*-3))**2 + 0.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.139 - -78.139. Let q = 83 - x. Sort q, 4, 0.1 in decreasing order.\nAnswer: q, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 321716 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 2*v + 1. Let r be n(2). Let h = 3357 + -3356.5. Which is the smallest value? (a) r (b) h (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118940 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35*1 + 4*(-15)\/20. What is the first derivative of -115 + 274 - 118 + x*w**4 wrt w?\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48 + (-28)\/((-35)\/5). Let a be (-4)\/14 + (-368)\/(-14). What is the greatest common factor of f and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-32)*(-6 + 2 + 5 + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34561 (base 7) to base 6.\nAnswer: -105011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46767988 divided by -967?\nAnswer: 48364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkvkkvt. Give prob of picking 1 v and 1 t.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 114*k + 260655 = -53*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10165 - 123566?\nAnswer: -133753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/3 - 92*b**4\/3 - 6*b**3 + 820*b**2\/3 + 392*b\/3 - 368 = 0. What is b?\nAnswer: -2, 1, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 16. Let v be s(13). Suppose -2*a + u + 14 = 0, v*a + 2*u = -2*a + 53. Let b be 6\/(-2) - 27\/(-5) - 3. What is the biggest value in 4, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27.036831 months?\nAnswer: 0.225306925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1978*a + 21772. Give z(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -4. Let t be 678\/(-4)*h\/(-21). Suppose 0 = -l + v - 13 + t, -l - 2*v + 94 = 0. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(76)*2 + sqrt(76) - -1*(sqrt(76) - sqrt(76)*-1)))\/(sqrt(8)\/(sqrt(2) + sqrt(12)\/sqrt(6)) - sqrt(64)*-3).\nAnswer: 4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2147\/13 - -165. What is the nearest to 1\/3 in -4\/5, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbh when three letters picked without replacement from rhxhhbx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6336271 is divided by 704029?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmb when four letters picked without replacement from bmmmmmmmmmbbmbbbbmbb?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/11, -5, -3\/14?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -25*v - 1877. Calculate y(-74).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2847\/19 at least as big as -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 divided by -35?\nAnswer: -270\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -53*n - 6. Let v(h) = -5*h - 74. Let j be v(-16). Let g(z) = 25*z + 3. Let d(y) = j*k(y) + 13*g(y). Give d(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91.9416 - -92. Let a = f + -0.06. What is a rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 18147*c. Let o(t) = -4*t. Give z(o(p)).\nAnswer: -16*p**2 + 72588*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 34 = -3*q + 50, -116 = -5*g + 3*q. Let y(n) = n**2 + 5*n + 1. Calculate the remainder when g is divided by y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*((-1 + 4 - 5)*(2*o**2 + o**2 - o**2) - 7*o**2 + 8*o**2 - 18*o**2) + (-1 - 2*o + 1)*(2*o - o - 2*o).\nAnswer: 86*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 3}. What is prob of sequence zc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1384 + 10441 = 0. Let y = o + -1500. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {r: 6, y: 2, d: 2, k: 6, u: 3}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/5 - 14\/(-35). Let l be k\/8 + 0 + 7\/4. Suppose -2*h = 4*n + 21154, -5*n - l*h - 13459 = 12985. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*i + 10974 = -264*i + 26*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 3. Suppose 1 + 8 = 3*j. Let a = 2 + 3. Solve l*b + 9 = -j*f, b - a*b - 12 = f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-28)\/(o*o\/o**8)**35 assuming o is positive.\nAnswer: o**266","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 2 + 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201050734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59122272.6 rounded to the nearest ten thousand?\nAnswer: 59120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 33. What is the greatest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250895 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from {g: 1, t: 1, u: 5, k: 1, w: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-20))\/(1\/6). Suppose 1551 = 12*o - l*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11.803, 5, 3, 1, -2\/3, -1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 8:33 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 1.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*m - 256, -4*a - a + 2*m + 246 = 0. Let s be (-3*(-40)\/6)\/((-27)\/(-27)). Calculate the greatest common divisor of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 21*z**2 - 28*z + 1058. Calculate m(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149776658 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - 31312 + 31301 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 345*v**3*x**2 + 3*v**2 - 2599*v*x**2 wrt v.\nAnswer: 2070*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -15 (c) 3 (d) 6 (e) 9.41 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) 7 (d) 11 (e) -302 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2. Let n(b) be the third derivative of -b**4\/24 + 5*b**2. Calculate n(r(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i**2. Let g(w) be the second derivative of 7*w**4\/12 - 80*w. Give k(g(h)).\nAnswer: -490*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608) + -1*sqrt(608))\/((sqrt(10)\/sqrt(5) - sqrt(2))*2 - sqrt(2)))**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 0.1, -5, 3\/2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20641 - 848*h + 428*h + 430*h.\nAnswer: 10*h - 20641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358369 + 145?\nAnswer: 1358514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, 9, 15.\nAnswer: -3, 0, 3, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291 + 663. Is f a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40435589.99 rounded to the nearest ten thousand?\nAnswer: 40440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 46 - 46.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*x, 35 = 3*k - 5*x + 3. Solve 0 - 4 = -k*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - (-2198)\/231 - (30\/33)\/5. What is the nearest to -0.1 in -0.06, -2, -17, v?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 6*o + 2*o. Let d(x) be the third derivative of -x**4\/12 + x**2. Give f(d(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11305.\nAnswer: 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 529 + -535. Let c(n) = -6 + 5 - 3*n - 7. Calculate c(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 63. Let l(z) = 33*z**3 - 3*z**2 + 2. Is l(b) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 3*v**2 - 72*v - 108.\nAnswer: 3*(v - 6)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23 + (-2 + -5 - -2). Let d(t) = 2 - t**3 + 10 - 5*t + 6*t**2 - k. Calculate d(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -191*l - 7218. Suppose 2*f = 4*f - 558. Calculate the remainder when f is divided by m(-38).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 5\/2*s**2 - 3 + 1\/4*s**4 - 5\/3*s**3 + 2*s. What is the units digit of r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -151 (c) 3\/22 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 677, 718, 775, 848, 937?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 1. Let b be o(4). Suppose -11 = -2*g + b. Suppose 3*w + 3*y = g, -2*w + y = -0*w - 6. Solve 0 = -w*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*v - 15, -c - 4*v + 32 - 2 = 0. Suppose c*l - 9 = 1. Find the common denominator of 1 - (l\/(9\/92) + -2) and -27\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z\/((z**(1\/23)*z)\/z) assuming z is positive.\nAnswer: z**(89\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 16*l + 41\/6*l**3 + 0 + 47\/2*l**2. Is u(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239188?\nAnswer: 2, 59797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-9)\/2*18\/(-27). Let j be -1*(12\/a + 184). What is j rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -146*t + 5476. Give x(39).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/72*(-36)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 0*n)*(1 - 6 - 1)*(1 + 1 + 0).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2084028 (base 9) in base 12?\nAnswer: 45b208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 86465*x + 10886250 = 0. Calculate x.\nAnswer: -17418, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 462 + -428. Let r = 1 + q. Calculate the least common multiple of 90 and r.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-11) - (-126)\/693. Let u = 10 + -39\/4. Sort j, -5, u, -2\/21 in decreasing order.\nAnswer: j, u, -2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175 + -109?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 51495.\nAnswer: 308970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7946 (base 12) to base 2.\nAnswer: -11010010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = y - 29. Let z = y + -81. Let r be z\/30 - (-2)\/6. Put -2, r, -4 in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-644)\/2898)\/(-1 - 5\/(-3)). Is k smaller than 1064\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 61851649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101 - 10111000000?\nAnswer: -1110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17*p + 3902 + 11263 = 0. Calculate the remainder when p is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 5 (c) 2\/11 (d) -891\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 2\/5 (c) 33 (d) 1\/12 (e) 0.3 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 2*i)*(-95124 + 56*i**2 + 1115*i**2 + i + 95120).\nAnswer: 2342*i**3 + 2*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 10*h - 6. What is the second biggest value in 0, h, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21274 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1011010020 (base 3) to base 14\nAnswer: -83a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -767 by 597531.\nAnswer: -767\/597531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -11?\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/728)\/(7\/12)*(-378)\/108?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let z be 1 + (-178)\/336 + (-450)\/1200. Put z, -0.7, -0.3 in descending order.\nAnswer: z, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -26. List the prime factors of q + 21\/(-3) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 - 11*j - 3. Let r be g(5). Is (-2)\/4*((-2 - 0) + r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*n + 66 = 0, -3*o = -0*o - 2*n - 59. Let v = o - 20. Factor 23*f - 8*f - 9*f + 3*f**2 - v*f**3.\nAnswer: -3*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 5*j**2 - 5*j + 5. Suppose -2*k = p - 2, -4*k = -5*p - 5 + 1. Let f(z) = z**3 - z**2 + 4*z - 3*z - 1 + 0*z**2. Determine k*w(r) + 5*f(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 0*x - x = b - 9, 4*x = y*b + 12. Suppose -3*s + b*g = -6*s + 33, 0 = -s + 3*g - 2. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*p + 45 = 0, 0 = j - 3*p + 5 - 58. What is the remainder when j is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 427907 + 953418 = -1026339. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 55*v = -20. Suppose 4*c - c = 6. Suppose -v*q = 4, -c*y + 4 = -q + 2. Solve y = 3*p - g - 14 + 3, g - 9 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7 + 38. Let w = f - 13. Is w not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 5*p - 2*p - 1)*(6 + 3 - 5)*(123 - 2*p - 102 + 0*p) to w + k*p + v*p**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11875 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34112 + 34112.4. Let y = -157\/2 - -75. Which is the fourth smallest value? (a) y (b) -2 (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -10 (c) 4\/9 (d) -11\/3 (e) 482\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 8. Find the second derivative of 0*c**2 + 4*c**2 + m*c + c**2 - 10*c**2 wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(832) + 2 + sqrt(832) + sqrt(832))**2.\nAnswer: -32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-21) + (-8 - (-418)\/48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1081\/12 - -90. Let s = 173031 - 173035. Which is the second smallest value? (a) 4 (b) -0.3 (c) s (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 15) to base 3.\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -133010?\nAnswer: -133014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*h + 39 - 354, -125 = -2*v - h. Suppose 2*i = v + 14. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(806*u + u**2 + 9366 - 9366).\nAnswer: 2*u**3 + 1612*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a + 25*a - 2*a + 5. Let u(y) = -14*y - 8. Give 8*t(h) + 5*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 3*z**2 - 53*z + 4253. Calculate a(19).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 541500 + -326?\nAnswer: 541141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - -7 - (-68 - -93 - (-21 + 3))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - f. Let l(v) = -5*v + 10. Suppose -62*q - 66 = -68*q. Let h(o) = o - 2. Give f*l(b) + q*h(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9578 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158.602 litres in millilitres?\nAnswer: 2158602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*f = -1823 + 1803, 0 = 2*s - 3*f - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 - 1 - 20*s**2 + 8 + 15 + 6*s. Let u(g) = -11*g**2 + 11*g + 46. Let t(m) = -9*i(m) + 4*u(m). What is t(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -0.1, 1\/2, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = 0, 2*i + 10 = -2*n + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -672 + 721. Suppose 51*l - t*l = 1578. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20140 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -4 + 1 + -1. Let x(n) = -2*n - 2. What is the smallest common multiple of x(z) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 11*b - 25. Let h be o(13). Suppose h - 49 = -4*f. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 6 = 35*k. Let u be 3 + (20\/60 - (-46)\/k). Let a be ((-6)\/u)\/(1\/4). Solve -a = -3*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4471.\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2792, -2697, -2604, -2513, -2424, -2337?\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -3*r. Let l be ((-132)\/(-9))\/(r\/(-6)). Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3950 = 43*f - 19516. What is the smallest common multiple of f and 26?\nAnswer: 4706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 - (1410\/300 - 7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 2.5107, 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243 - -249. What is the second biggest value in 0.1, 3, -5\/4, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2 - 4*j + 1. Let d(z) be the second derivative of -z**4\/12 + z. Let a be d(2). What is the units digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-1 + 1 + f**3) + 16*f**3 + 29 - 29 to the form c*f**2 + g*f + r*f**3 + l and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-112)\/63 + -7 + 1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + ((-3*(0 + sqrt(1300) + sqrt(1300) - sqrt(1300))*-3)**2 - (((-1 + 0 + sqrt(1300) + sqrt(1300))**2 - sqrt(1300)) + 4)).\nAnswer: 50*sqrt(13) + 100091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13639665 divided by 909311.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9209 is divided by 835?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27641306 and 14.\nAnswer: 27641306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1432 (base 8) to base 5\nAnswer: 11134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 2*d, 2*j - 3*d - d + 6 = 0. Suppose 3*s - 9 = -5*c - 0*s, -j*c + 3*s - 9 = 0. What is the units digit of 1\/(1\/9 + c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 33543?\nAnswer: 33535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -545086256 + -2?\nAnswer: -545086258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1539)\/(-15))\/((-6)\/4)*-5. Suppose 7*b = 10*b - q. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.148 - -2.852. Suppose -6*s + s = -5. Sort q, s, -0.4 in descending order.\nAnswer: q, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + r - 3*r)*(r**3 + r**3 + 0*r**3) + 3*r**4 + r**4 + 6*r**4 as m*r**4 + j*r**3 + n*r**2 + z*r + b and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomn. Give prob of picking 1 o, 1 m, and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4056.92 millilitres in litres?\nAnswer: 4.05692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.7 + -54. Let i = -11.6 - o. Let z = -33 + 50. Which is the third biggest value? (a) -5 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m - 6*m. Let n be 2\/(-4)*m + 7. Suppose -b + 4*t = 11, -2*b - t = -b - n. Calculate the smallest common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242965207.\nAnswer: 3, 7, 106807867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 - 8*s + 1 + 1. Let u(v) = 4*v**2 - 3*v**2 + 0*v**2. What is i(u(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 16*l - 13. Let j(y) = 7*y - 6. Let c(n) = 13*j(n) - 6*k(n). Let d(v) be the second derivative of v**4\/12 + v**3\/6 - 29*v. Give -c(u) - 3*d(u).\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -o, -314*o + 313*o + 3 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.958 + 58. Let n = t + -0.142. What is the nearest to n in -3, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 6*2*1*(4 + (sqrt(275) + sqrt(275) + sqrt(275)*1 + sqrt(275) + sqrt(275) - sqrt(275))) + -2)**2.\nAnswer: 23520*sqrt(11) + 636005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84070 is divided by 9341.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g**2 + 4*g + 1. Let a be n(-4). Suppose -4 = -j - a. Let q = 8 - j. What is the remainder when 8 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(2)*-5)\/(sqrt(54)*-5).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -838245 minus -5?\nAnswer: -838240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4764 by 12.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**3 + 4*l - 11. Let r(s) = -20*s**3 + 11*s - 34. Let n(p) = -11*k(p) + 4*r(p). Differentiate n(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46262 - -46264. Factor 0 - 4\/9*k**4 + 4\/9*k**3 + 0*k + 8\/9*k**n.\nAnswer: -4*k**2*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 446\/7. Let u = 745.4 - 750.4. What is the closest to 0.19 in u, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 + 51*h**5 - 304*h + 304*h + h**5 - h**5 - h**5 + 1 - 2*h**5 - 1 + (-4*h**2 + 0*h**2 + 2*h**2)*(-h + h**3 + h) - 6*h**5 + 5*h**5 - 5*h**5.\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626 (base 7) in base 13?\nAnswer: 5bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -14, -160?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3094)\/(-14))\/13 + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486388 is divided by 3881?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k - 59 + 419 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 975 + -538. Suppose -v + 422 = -3*s. Solve 2*r = 3*y + s, r - 5 + 1 = 3*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*r**3 - 8*r - 185*r - 8*r - 5*r + 207*r.\nAnswer: -93*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 505*i**2 + 1019*i**2 - 507*i**2 as t*i**2 + q*i + o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -594 (b) 4 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 5) in base 12?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*p - 61 - 4 = 0, 2*c - 5*p + 71 = 0. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -31*i + 3761. What is the greatest common divisor of 1260 and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182140\/4550 - (19 + 21)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*f + 2 - 4 = 0, 5 = 5*f. Solve 2*r = 4*m - 18, -t*r = -m - m + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o + 7. Let u(i) be the second derivative of i**3 - 2*i**2 - 2*i. Let r(d) = d**2 - 8*d + 5. Let j be r(4). Let g = j - -7. Give g*k(l) - 7*u(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:33 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 10. Let t be (6 + -3)\/(6\/16). Let c be n(t). Is (2 - -4296) + (-3 - c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 16.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10) - 30\/(-10300)*(-618 + 62)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162, -142, -86, 24, 206, 478, 858, 1364?\n\"Answer: 3*q**3 - q - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3523, 7044, 10561, 14074, 17583, 21088, 24589?\nAnswer: 28086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*q + 111 - 240, -3*u - 3*q - 58 = -229 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 + 317508.70684\nAnswer: 317508.78284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4) + (-1)\/4. Let a(f) = 5*f**2 + 1. Let j be a(p). Suppose j = 3*r - 3. Calculate the smallest common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3574 - -3607. Suppose -4*d + 693 = -d. What is the greatest common divisor of d and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400638 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -64.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14345*x. Let w(g) = 5*g. Determine u(w(q)).\nAnswer: -71725*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4963 from -25310401532.\nAnswer: -25310396569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10377 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 + 16 = 0. Suppose y = r - 0. Suppose -3*x + 2*i = -43, i - y = -x + 10. Solve -3*c + 2 = -x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5084091078 to four decimal places.\nAnswer: 0.5084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0773804467 to four dps.\nAnswer: 0.0774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16356547, -65426181, -147208911, -261704743, -408913683, -588835737, -801470911?\n\"Answer: -a**3 - 16356542*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -198 and -201 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -184840, -739206, -1663154, -2956684, -4619796, -6652490?\n\"Answer: -184791*y**2 + 7*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:50 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 - 72*t**4 + 28*t**3 + 4128*t**2 + 16272*t + 17280 = 0.\nAnswer: -15, -6, -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 4147627 in ascending order.\nAnswer: -9, 5, 4147627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {q: 2, d: 1, v: 3, z: 7, p: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*v - 10 = 6*v + v, 2*n + 9*v = -28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 2*q**2 + 3*q**2 + (-q + 2 - 2)*(5*q - 3*q - 3*q) - q**2 + 6*q**2 + 4*q**2 + (38*q - q**2 - 38*q)*(0 + 1 - 6).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9566403 and 3773?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 786632 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*k + 15 = -5*k, -x - 3*k - 5 = 0. Let n = 0.116 - 0.416. Is n at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-3 + 4 + 0)) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. What is the derivative of -4 + 2*i**2 + i**2 + a*i**2 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t**4 + 0*t**3 + 6 + 3\/5*t**5 + 0*t**2 + t. Find the first derivative of z(y) wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(3 - (-33925)\/(-40))*-2.\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -13*c**4\/24 + 13*c**2 - 134*c. Let r(v) = -9*v + 29. What is r(l(k))?\nAnswer: 117*k + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from {p: 1, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/18)\/4)\/(25\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 3.4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.16265 to 1 decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2964 + c**2 - 7*c**2 + 3*c**2 + 2708 to o*c + f*c**2 + q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 15 = 9*j. Calculate the remainder when 27 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, -1\/10, -424 in ascending order.\nAnswer: -424, -0.3, -0.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -2\/35 (b) -14\/11 (c) -0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*g - 3. Let a be g\/(-12) + (-2)\/6. Suppose -4*k + 26 - 2 = a. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*m + 11*m. Suppose m = -4*q - 23. Let n = 17 + q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926637121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878279*b = -878292*b + 195 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(4*(-3)\/(-3072)). What is l rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-42) - 3116\/798) + 310. Solve -18*p - t = -198 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2177 and 2195 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 - 69*n**3\/5 + 2206*n**2\/5 - 13536*n\/5.\nAnswer: -n*(n - 16)*(n - 9)*(n + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 628093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*(t*t**9*t*t)\/t*t)\/t*(t*t\/(t\/(t*((t\/(t\/(t**(-10)*t))*t)\/t)\/t)*t))\/t)**(-34)\/(t**(3\/2)\/(t\/t**4)*(t\/(t*t\/t**(1\/4)))**(8\/3)) assuming t is positive.\nAnswer: t**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110033.3 - -110033. Let l = 14\/3 + -31\/6. What is the fourth smallest value in 0.4, v, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*r**3*z + 8385*r**3 + r**2 + 1531*r*z + 9*r + 4*z - 1 wrt r?\nAnswer: 654*z + 50310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (212 + -212) - (9 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/70 - o**5\/20 - 27*o**2 - 3*o. Factor n(u).\nAnswer: 3*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107678368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368 - 217. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555393, 1110787, 1666181?\nAnswer: 2221575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -21. Let f = 14 + -10. Suppose -k - f*n - p = 0, 3*k - 5 = -2*n + 8. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*z - d = 35, -2*z - 100 = -4*d. Let i be (330\/z)\/((-3)\/8). Let k = i + -6. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 3*b**3 + b**3 - 8*b**2 + 2*b**3 to j*b + q*b**3 + l + p*b**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 3*m - 20*m**3 - 4 + 40*m**3 - 18*m**3. Let d be n(2). Is 3 a factor of (9\/(-6) + 0)*d\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 526*v**3 - 70720*v**2 + 405600*v = 0.\nAnswer: 0, 6, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.95 + 102.95. Let r = 103.65 - y. What is r rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0. Let m = 171\/5 - 34. Let d(s) = -s**2 - 5*s + 1. Let g be d(-6). Sort z, m, g.\nAnswer: g, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -21. Let h(j) = j**2 - 7*j + 16. Let u be h(r). Suppose -446 = -2*a + u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -7*m**2\/2 - 3*m - 7599. Let i(x) = 15*x + 7. What is 5*d(g) + 2*i(g)?\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 7819062.\nAnswer: -2\/3909531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Let z(m) = 792*m**2 + 39*m**2 - 94*m**2 + 0*m**2 + 674*m**2. Give i(z(g)).\nAnswer: 3981842*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)*r)\/r*r*r**(-3)\/r*(((r*r**(-1\/3))\/r*r)\/r*r)**(-44))**(-18) assuming r is positive.\nAnswer: r**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2041 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382069044*j**5 + 19513711*j + 1 wrt j.\nAnswer: 7641380880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39187598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/3 + a**3\/3 - 11*a**2. Is q(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -2, 1, -3 in increasing order.\nAnswer: -3, -2, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/23382 - -3910640\/11691. Let g = 284 - h. Calculate the common denominator of g and 31\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5540, -42712, -143614, -340112, -664072, -1147360, -1821842, -2719384?\n\"Answer: -5311*j**3 + j**2 + 2*j - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 4277 = 931. Let f be (-4)\/10 - 15366\/(-15). Let q = f - d. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 4*x**2 - 4*x + 13. Let r be h(4). Let o(u) = -2 + 11*u**3 + 5*u**2 + 8*u**3 + u - 1 - 17*u**3. Calculate o(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1925752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**2 - 3417 + 3417.\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:59 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109742.\nAnswer: 2, 37, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/2*4. Suppose -h*m - m + 6 = 0. Suppose 0 = -m*a + 4*o + 111 + 61, o - 452 = -5*a. What is the greatest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 33*r - 11. Let z(o) = 301*o + 29. Give z(p(n)).\nAnswer: 9933*n - 3282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 622274720, 622274734, 622274758, 622274798, 622274860, 622274950, 622275074, 622275238?\n\"Answer: s**3 - s**2 + 10*s + 622274710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9 and 76\/6*(-57)\/(-190).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/146770?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*t - t. Sort t, 2, -4.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5 = o, -13*j + 10 = -18*j - 2*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 194, 322, 468, 638, 838?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 914141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13359 is divided by 836.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 3587*v + 85 + 1164*v.\nAnswer: -2423*v + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042747069 to the nearest one hundred thousand.\nAnswer: -1042700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:26 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let h(j) be the third derivative of j**7\/56 + 113*j**5\/60 + j**4\/24 - 107*j**2. Let o(a) be the third derivative of h(a). Give t(o(l)).\nAnswer: 8100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*t - 4*t. Suppose 0 = -t*p - 0*p - 2*w + 10, -5*w - 3 = 3*p. Suppose 0 = 2*i - 5*l - 43, -3*i + p*l + 69 = l. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -26*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-16 - -26) - (7 + (2 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 45 = -o. Let t = -6 + o. Suppose 27 = 2*z - t*s, -z - 2*z - 4*s = -15. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k + 4. Let f be x(-5). Let v = 7 - f. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1309 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -165276.\nAnswer: -165277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 15*g + 30. Let z be f(5). Calculate the greatest common factor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301133112213 (base 4) to base 10.\nAnswer: -12973479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/672 and 133\/79680.\nAnswer: 557760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2015 + -108797\/54. Calculate the common denominator of t and -73\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20324656895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -95.7. Let l = -4 - d. Let y = 2 + -4. What is the biggest value in y, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -158. Let b = 3 + -3.2. Let l = b + 0.1. Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -28*j - 165. Let d be n(14). Let o = -347 - d. Calculate the greatest common divisor of 84 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/14)\/(9\/63). Let l(f) = 4*f + 6. Let g be l(-1). What is the first derivative of 40 + g*a - i*a - 6*a - 2*a**2 wrt a?\nAnswer: -4*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 9*p**2 - 3. Let s be h(9). Let y(v) = 4*v**2 - 9*v + 9. Let x be y(5). What is the common denominator of -19\/5 and x\/11 + (-5 - s)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797301?\nAnswer: 3, 88589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4 - 1 + 4 - 5*b. Let r(h) = -5 - 5 + 4*h - 2*h + 7. Let s be r(7). Let v(y) = 9*y + 2. Determine s*m(l) + 6*v(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 146570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1316*x**3 + 5*x**2 + 5*x. Let k(i) = -49350*i**3 + 188*i**2 + 188*i. Determine 188*j(o) - 5*k(o).\nAnswer: -658*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888752763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16 + 4 = 0. What is the third derivative of -11*o**2 - o + o - 8*o**b - 2*o**2 wrt o?\nAnswer: -192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Which is the nearest to -0.1? (a) 1 (b) 1\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 530, 549, 566, 581, 594, 605?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 3*n + 7*n. Let m(w) = w + 4. Let l be (-22)\/(6*5\/15). Let x(y) = 3*y + 11. Let h(t) = l*m(t) + 4*x(t). Calculate h(v(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)\/q)\/(q*q**(-2\/3)))\/((((q**(1\/6)*q*q)\/q)\/q)\/q*q**1*q) assuming q is positive.\nAnswer: q**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**5 + 25*m**4\/2 + 85*m**3\/3 + 20*m**2 - 122. Factor g(i).\nAnswer: 5*i*(i + 1)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/(-45)*(-6)\/(-40).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from gtgttggv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/207684 and -85\/15384.\nAnswer: 415368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times 194?\nAnswer: -12610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let q(u) = 48*u - 20. Let y(v) = -o(v) - q(v). Is y(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30785 and 3799.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -16*u**2. Suppose -488 = 7*a - 96. Let l(o) = -301*o**2. Let b(p) = a*g(p) + 3*l(p). Let n(i) = 29*i. Determine n(b(k)).\nAnswer: -203*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 1. Let j(w) = 6*w - 691. Let v be j(115). Let k(n) = -3*n. Calculate v*k(m) - z(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 5*t**3 + 0*t**3 + 0*t**3 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = 5*k + l, -4*k - 10 = -3*l. Find the common denominator of (k\/6)\/(120\/954) and (-934)\/(-120) - (-42)\/315.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -5. Solve 3*p + 2*p - 3*c - 34 = 0, c + u = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {x: 9, f: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 2, -3770996 = -4*m + 3*w. Suppose -1207254 = 5*l + m. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1358031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v - 270. Let d be t(18). Solve -4*b + 2*l + 4 = d, 0*b - 3*b = 5*l - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287588129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 146 + 172. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d8 + -129?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5252451 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -78992 - -78992.4. Let r = 5 - 10. Which is the closest to 2? (a) r (b) 5 (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-39 + 26 + (0 - -1) + 27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2*h**3 + 2*h**3 - 2*h**3 + 3 + h**3. Let z(v) = v. Determine z(g(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*z - 13*z - 10*z - 3*z - 11*z + 28 - 4*z**2 = 0. Calculate z.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 2*r + r - 21, 7*r - 49 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.99 + 0.01. Let m(t) = t**2 + 9*t + 20. Let f = 30 + -35. Let w be m(f). Which is the closest to w? (a) x (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) + sqrt(17)*2*3 - (sqrt(17)*-1 + -3)) + -3*((sqrt(1088) - (sqrt(1088) + -1 - sqrt(1088)) - sqrt(1088))**2 + 4).\nAnswer: -12 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 + 3*f**2 - 2*f + 3. Let m(n) = 2*n**3 + 16*n**2 + 2. Let b be m(-8). Let z(p) = 5*p**3 - 2*p**2 + 2*p - 2. Give b*x(v) + 3*z(v).\nAnswer: 3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1904 and 15?\nAnswer: -28560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 38 + a**2 - 4\/3*a**3 + 12*a - 1\/4*a**4. Let d be w(-4). What is the fourth smallest value in 0.5, 2, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*y**3 - 8*s - 13*y**3 - 27 with respect to y.\nAnswer: -6*s*y**2 - 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50 - 39ef1b?\nAnswer: -39eecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rutj when four letters picked without replacement from {h: 2, r: 1, t: 1, u: 2, j: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083240 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/2 - 5147*r**2\/2 - 1002793*r\/2 - 997645\/2 = 0. What is r?\nAnswer: -187, -1, 5335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126.0000083 + -126. What is d rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 6*m + 2. Let d be a(6). Suppose -d*r - 33 = -5*r. Let y = 29 - r. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -25. Let r = -4886 + 4885. What is the closest to -0.1 in n, r, -2\/7, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/15))\/((y*y**(-2\/47))\/y))**(2\/79) assuming y is positive.\nAnswer: y**(1846\/55695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 less than or equal to 654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*-3 + 1320\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3627*-1\nAnswer: 3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = -1. Let q = 14 + w. Round q to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32040, 32044, 32022, 31968, 31876, 31740?\nAnswer: 31554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/19 + 16*k**4\/19 + 142*k**3\/19 + 340*k**2\/19 + 328*k\/19 + 112\/19 = 0. Calculate k.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 19. Let h be v(-5). Let y be 8\/((-3 + h)*-1). Is y equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 199707245*a - 599121780.\nAnswer: 5*(a - 39941452)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 17*r + 33. Let j(n) = -6 + 4*n**2 + 1690*n - 1689*n + 2. Let s be j(-2). Let w be f(s). Which is the closest to -1? (a) w (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z + 1. Let u = z - 1. List the prime factors of 9 + u + 0\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*f - 480*f - 293*f + 36*f + 55308 = 0 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*o**3 - 5014*o**2*s + 543*o*s - 60772*s - 610 wrt o.\nAnswer: 30*o**2 - 10028*o*s + 543*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.9179um in meters?\nAnswer: 0.0004659179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t - 389 = -1109. Suppose j + 2*x + 6 = 3, -5 = 5*x. Let z(m) = -2. Let v(g) = -g. Determine j*z(a) + t*v(a).\nAnswer: -6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1249 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3323 + 3328. Solve -t*m = 2*g + 1, -5*g = -3 + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3347 and -3360 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 - 4*r + 6. Let q be l(-7). Suppose 3*m - 2*b = q, 2*b + 553 = 5*m + 5*b. List the prime factors of m.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 + 17 + 31*p - 17 - 8 wrt p.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 + p. Let a = 2 - 0. Suppose 2*i + 4*w + 18 = 0, -a*w + 6*w = 2*i - 14. What are the prime factors of x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/(w\/(w**(-1\/4)*w)))\/(w\/w**(-10)*w**32) assuming w is positive.\nAnswer: w**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 + 9\/(-5) - 363998. What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1637 and 13.\nAnswer: 21281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/3)\/((-55)\/(-11)). Put h, 0, -9 in descending order.\nAnswer: h, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11883027.\nAnswer: 3, 13, 83, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -83.1649202?\nAnswer: -82.6649202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 249*b = 6032336219 + 18043672781. What is b rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -7, -1 in ascending order.\nAnswer: -7, -5, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5854646 to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) -1 (b) 0 (c) 20.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41180636*b**2 - 37069103 wrt b.\nAnswer: 82361272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85*(-12)\/(-20)*(-717)\/(-9) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-13) + 4\/(-2). Which is the biggest value? (a) x (b) -0.03 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(-1)*32\/(-48)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1919929, -1919896, -1919805, -1919626, -1919329?\n\"Answer: 5*d**3 - d**2 + d - 1919934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 431, 715, 999, 1283, 1567, 1851?\n\"Answer: 284*n + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149107 divided by 3043?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*k**6*q - k**4*q + 5*k**4 + 2*k**2*q + 2*k**2 + 19*k*q wrt k.\nAnswer: 3240*k**3*q - 24*k*q + 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*c + 40 - 62 = -48, c - 5*c + 18 + 18 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 52. Suppose 0 = -4*o + 8*o - z. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 23*g - 130. Calculate the smallest common multiple of 5624 and t(-11).\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/28)\/(v*v**15*v))\/(((v**(1\/4)*v)\/v)\/(v\/v**10)) assuming v is positive.\nAnswer: v**(-367\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3364 by 24585.\nAnswer: -3364\/24585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (14 + 1 - (-15 + (0 - -23))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 18*d + 63)*(-d + 1 - 1)*(-1 - 3*d + 1)*(2*d - d - 3*d)*(-7 + 4*d + 7).\nAnswer: -432*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(-15) + 4\/(-10))*3. Sort w, 3, -2, -3 in increasing order.\nAnswer: -3, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/((p\/(p**(-2\/5)*p))\/p))\/((p*p\/p**(3\/2))\/p**(1\/6)) assuming p is positive.\nAnswer: p**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982\/(-159030) - 3514\/(-272335).\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjf when four letters picked without replacement from fjjfjjjjfjff.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*t + 9. What is the third derivative of 0*b**2 - 8*b**t - 2*b**2 + 4*b**3 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.04 + 1.98. Let x = n + 0.06. Which is the second smallest value? (a) x (b) 2\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from ddoddwwdwwdwwdowow.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18354 and 1610?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0029 less than 7163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.1 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(336) - (sqrt(336) + sqrt(336) + -2*sqrt(336))))\/(-3*(sqrt(192) + sqrt(12))) - (sqrt(448) - (-5 + 1*sqrt(448))**2 - (-1*sqrt(448) + -4)).\nAnswer: -1432*sqrt(7)\/15 + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, 42633\/23, -4, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 97*q**2 - 97*q - 96. Calculate x(-96).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 5, -8, -14 in ascending order.\nAnswer: -14, -8, -1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -32\/375?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 186a6 (base 13) to base 15\nAnswer: e027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -207, -210, -213?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 522 + -271. What are the prime factors of d?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3233 is divided by 267?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13603298, 13603299, 13603300, 13603301, 13603302?\n\"Answer: s + 13603297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 14*k. Let j = 2 - k. Solve 0 = -j*u + 5*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 23. Let n = l - 4. Suppose 2*h + 3 = -n. What is h rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(8) + 1).\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*j**3*p**2 + 127*d*j**2*p**2 + d*j*p + 3*d*p**2 + d*p + 3*j**3*p - j wrt p?\nAnswer: -4*d*j**3 + 254*d*j**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.013469ms in seconds?\nAnswer: 0.005013469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 4*n, 5*j = n + 1 + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -0.5, -0.3, 1\/164?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279735 and 681615.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2245\/20)\/((-13)\/(-52)). Let k = 445 + c. Solve 0*y + k*y**3 - 1\/2*y**4 + 5\/2*y**2 - 2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + (2 + -5 + sqrt(2299)*4 + sqrt(2299))*-2)**2)*-4.\nAnswer: -919584 + 880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**3 + 2*x**2 + 6*x + 5. Let l be q(-2). What is the hundreds digit of (-55)\/20*-4*l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**2 - 10*x**2 - 18*x**2 - 4*x - x**2 + 4*x + (3*x - 5*x - 3*x)*(-4 + 4 - x) + (-1 + 1 + 1)*(0*x - 3*x**2 + 0*x).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -366.1607421 and -0.397.\nAnswer: -366.5577421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74795\/4274)\/((-10)\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166 + 166 - 35*w)*(-32 + 32 + 32*w**3 - 7*w**3) to the form u*w**4 + j*w**2 + i*w**3 + h + z*w and give u.\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*n**2*p**2 + n**2*p - 970812*n**2 - 4*n*p**2 + p wrt p.\nAnswer: 244*n**2*p + n**2 - 8*n*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -501 in 2, -1\/4, 1, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8 - 28 + 13 + 2*h**2. Let s be p(0). Do s and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305587\/10 - -30559. Which is the closest to -12? (a) q (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 261, 202, 105, -30, -203, -414?\n\"Answer: -19*f**2 - 2*f + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + l)*(0*l**2 + 0*l**2 - 4*l**4) + l**2 - l**2 + 2*l**5 + 112*l**5 - 171*l**5 - 714*l**5.\nAnswer: -767*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37000929 is divided by 61.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdddrwddwwgrdcddy. Give prob of sequence dcdg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -11.48\nAnswer: -22.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-5 - -4) - 4. Suppose 0 = n + 3*s - 19 + r, 0 = -n - 4*s + 17. Suppose 2*u + n = -u. Is -9 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) 0.2 (c) 0.04 (d) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbjjqbjjjqjjbjjjjjj. Give prob of sequence bjj.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 2. Let a be r(0). Solve -4*t + 2*t - a = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -189*h**3 + 77*h**2 + 77*h. Let d(y) = -5*y**3 + 2*y**2 + 2*y. Give 154*d(a) - 4*r(a).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 368 = -20*d + 86*d - 19*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3*8\/12. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -3 + -152 + 142 + (-3 - -87).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91776 is divided by 217?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2199.12 + -53.88. Let c = -2253.5998 - l. Let m = c - -0.6. Round m to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 7*l + 3*l**2 + 4*l.\nAnswer: 3*l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**3 + 3*d**3 - d + 5*d**2 - 4*d**2 + 2*d**2. Let q(o) = o**2. Calculate k(y) - 5*q(y).\nAnswer: -3*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -73*c**2 - 97*c + 6. Determine p(-3).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -17*w + 38. Calculate the lowest common multiple of w and 132.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/5776 and 117\/2331730.\nAnswer: 6734036240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 x when three letters picked without replacement from {m: 3, x: 2, a: 2, i: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = -116. Let y = x - -15. What are the prime factors of ((-12)\/y)\/((-4)\/(-28))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -115. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23716 and 3619?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405800189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 2*b**3\/3 + 7*b**2\/2 - 213*b. Let z(h) = h. Determine u(x) - 6*z(x).\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q. Let f(i) = -17*i**2 + 8*i - 8. Let p(h) = 11*h**2 - 5*h + 5. Let r(a) = 5*f(a) + 8*p(a). Give r(g(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1227.7 - 1228. What is the nearest to 1 in 2, 0.5, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**4\/12 + 4*f**3\/3 + 2*f**2. Let y(p) = 4*p + 10. Let j(n) = n + 1. Let h(b) = -5*j(b) + y(b). Calculate -8*h(u) + 5*v(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50, -108, -178, -266, -378, -520, -698, -918?\n\"Answer: -h**3 - 51*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2885621028.\nAnswer: 2, 3, 240468419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/30 - u**4\/12 - u**3\/2 - 80*u**2. Let g(m) = m**2 + 12*m + 5. Let p be g(-12). List the prime factors of s(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 10 - 16)*(-j - 9 + 4 - 8 - 14).\nAnswer: 49*j + 1323","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3678 in -53, 1, -2\/13?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/952 and (9\/24)\/((-14637)\/205).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 49. Let j be h - 9\/(135\/25). Let 1\/3 + j*g**2 - 2\/3*g = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 - 28?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 839563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 12*t**2 - 4*t**2 - 6*t.\nAnswer: t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 568 divided by -5\nAnswer: -568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 6*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 155 + 230. Suppose 0 = -34*u + b*u - 5. What is the remainder when 16 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + -4 - -7 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (sqrt(80) - (sqrt(80) + -3*sqrt(80)))) + -1 - (2 + sqrt(80))*4) + ((sqrt(80) + (2 + sqrt(80) - sqrt(80)))*3 - 3*sqrt(80)*4))**2 + -5.\nAnswer: 360*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -309039845, -309039847, -309039849, -309039851?\n\"Answer: -2*o - 309039843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 4040*w**2 - 86585*w + 2896650.\nAnswer: -5*(w - 18)*(w + 41)*(w + 785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 7*p**2 - 2*p)*(380*p - 22*p - 86*p)*(-3*p + 5*p - p).\nAnswer: -1904*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2013537.3 months?\nAnswer: 167794.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 - 40*y + 3. Let v be q(-8). Suppose -2*d + 10 = v*d. Solve i - 2*k = -1, -d*i - 9 - 3 = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564452 and 2204?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:34 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124249, 1124167, 1124031, 1123841, 1123597, 1123299, 1122947?\nAnswer: 1122541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 3*c - 3*c + (-1 + 1 + 3)*(-5*c + 8*c + c + (0 + 2 + 0)*(5*c - 3*c - c) - 2 + 2 + 2*c) to n + y*c and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 - 93*i**2 + 2*i + 168.\nAnswer: -36*i**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/561*1)\/((-1)\/(-9))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5600 + -3?\nAnswer: -5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o + 56 - 517 - 34 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18.0019 + 17.68\nAnswer: -0.3219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 14808540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 155, 156, 95, -52, -309, -700?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205 by 205.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 109.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjojjjoojjojjjojj. What is prob of picking 1 j and 1 o?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -377, -454, -531, -608?\n\"Answer: -77*p - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 134652576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2655, 2645, 2631, 2613?\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -5. Let n = -9 + u. Let v = n - 4. Solve 5*c - 23 + 4 = 4*t, 17 = v*c - 2*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 2924255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30*((-210)\/(-10))\/7\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 36 = -136. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7195*k**2 - 3596*k**2 - 3602*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -791 + 790. Which is the second smallest value? (a) 11\/5 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3672 divided by 3.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2136, 1, -1, 4, -3 in ascending order.\nAnswer: -2136, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 38385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00143978 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -22. What is the second derivative of -17 - q*h + 17 + 15*h**4 - 18*h wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12589*s - 45. Let j(g) = 2519*g - 8. Determine 11*j(v) - 2*y(v).\nAnswer: 2531*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1390.2 - -0.8. Let h = 1329.3 - i. What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**11))\/(s*s**(4\/3)))\/(s**(2\/3))**10 assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.25 + -3.2. Let v = 2.05 - a. What is the nearest to 0 in -6, v, 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -470\nAnswer: -1\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*l + 79*l**2 - 2*l**3 - 3*l - 73*l**2 as d + n*l**3 + w*l + q*l**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 204. Is 48 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 4. Let c be (-2)\/v*9\/(-6). Let m(x) = -x**3 - x**2. Let b be m(-1). Solve b = c*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or -3.11?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16)**(-14)\/(a**(-9\/7))**1 assuming a is positive.\nAnswer: a**(-1559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 3*v - 4*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 65. Calculate the least common multiple of 68\/(4 + r) + -3 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2 - 354*v - 546. Calculate n(-49).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:29 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q**2 + 3*q**2)*(2*q - q + 0*q) + (-1 - 1 - 3)*(2*q**3 + 4*q**4 - 2*q**3) - 2*q**4 + q**4 + 0*q**4.\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226\/5 + -9367\/210. Find the common denominator of -111\/28 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*c = 22, -4*z + 3*c = z. Suppose 64 = -z*h + 367. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016817417 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - s - 1 - 6, 4 = 2*s. What is the closest to 13 in 0, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1677163 or -1677164?\nAnswer: -1677164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/20 + 5*i**4\/8 - 2190*i**2. Let x(y) = -2*y - 4*y + 5*y. Calculate x(h(q)).\nAnswer: 3*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-981)\/12 + 2\/(-8). Let x = 2399\/20 + -118. Calculate the common denominator of 2*(-1)\/(24\/r) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146352829 to the power of 1\/3, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46267 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -4\/5, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 2520*t**3 - 7542*t**2.\nAnswer: -2*t**2*(t - 1257)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/120 + n**4\/12 - 7*n**3\/2 - 15*n**2. Let o(b) be the first derivative of z(b). Determine o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2. Let a be j(2). Let z(g) = -11*g**2 - 8*g + 18. Let n be z(-8). Let l = n - -15552\/25. Do l and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 5*i. Let a be t(-5). Solve -4*u + 4*o = a, -5*o = u - 6 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 39. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4\/(-4) + (-150)\/(-78). Let z = 71 + -211\/3. Which is the biggest value? (a) 3\/5 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - -1000100001?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -25*n**3 + n**2 + 3*n + 2. Let u be d(-1). Suppose -u*h + 12 = -22*h. Solve -h*x + 18 = t, 5*x - t = x + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdpdpp. What is prob of sequence ppdp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 39 = p - 6*z, -128 = -4*p - 2*z. Let b = -19 + p. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + s**2 - 13 + 110*s**3 + 20 - 1 - 7 + 4*s to the form v*s**4 + c*s**3 + z*s + b*s**2 + h and give c.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35247219, -35247222, -35247225?\n\"Answer: -3*q - 35247216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y**4 - 10 + 7 - 12*y**4)*(15 - 12 - 15).\nAnswer: -36*y**4 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m - 3. Calculate l(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i**2 + 3*i - 5. Let a(v) = 9*v**2 - v + 2. Let u(r) = 5*a(r) + 2*c(r). Let d be u(1). Solve 0 = 3*n - d + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 times -13\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.06066166 * 4\nAnswer: 4.24264664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:06 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -28, -2\/17, 5, -2\/5 in descending order.\nAnswer: 5, -2\/17, -2\/5, -25, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*y + 134 = -62, -v - 8*y = -94. Solve 37*n = v*n + 119 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79004\/21 - 3762. Let r = -79\/120 + -1\/120. Which is the nearest to r? (a) u (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12025 + -1040232?\nAnswer: -1052301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268896 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*t**2 + 10849*t - 449*t**2 - 10849*t.\nAnswer: -758*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 2*k + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 5*h**2 - 5*h + 8. What is the smallest common multiple of 54 and k(5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -17. Suppose -13 - w = -2*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 10*z + z + 104.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = -6*o. Is ((-27)\/(-18))\/(o\/(-248)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*t - 23 = 0, -2*h + 4*t - 19 = 9*t. Solve 7*y - h*y = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5054373.\nAnswer: 3, 131, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6716632, 6716625, 6716616, 6716605, 6716592?\n\"Answer: -n**2 - 4*n + 6716637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -784*p + 16. Let j(w) = 393*w - 9. What is 7*j(f) + 4*u(f)?\nAnswer: -385*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/5 (b) -1\/9 (c) 21 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 27*v - 5. Let o(n) = -n**3 - 14*n**2 + 7*n + 27. Let d be o(0). Determine q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in -0.3, 2\/9, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 291*w. Let u(g) = 73*g. Calculate -4*h(s) + 15*u(s).\nAnswer: -69*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420) + sqrt(2420) + (sqrt(2420) - (2 + sqrt(2420) + sqrt(2420))) + sqrt(2420) + -3 - (sqrt(2420) - (sqrt(2420) + 0))*5)*-2*-5)**2*4.\nAnswer: -176000*sqrt(5) + 3882000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2692 is divided by 1659?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17907295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-47 + 12 - -25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:50 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, 168, 570, 1132, 1854?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p*p**33*p))\/p)\/p)\/(p*p**(-24)))\/(p**(-14)\/p)**(-5\/12) assuming p is positive.\nAnswer: p**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 1, w: 3, l: 3, r: 2, p: 2}. What is prob of sequence wl?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/30)\/(12\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f + 0*f = -99, -4*m - 5*f + 396 = 0. Suppose 13 = 5*d - 72. What is the remainder when m is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/22 + -2 + 26\/(-39).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2. Let l(r) = r**3 - 2*r**2 + r - 4. Let z be l(3). Suppose -z*x + 3*x = -10. Let w(s) = 0*s - 3*s + x*s. Give n(w(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.04038725 * -0.05\nAnswer: -0.0020193625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyfnjyjnyyyg. What is prob of sequence njnf?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 - -60. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37666 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -12. Suppose -4*j - 3*i + 0*i = -18, -g = -5*j + 5*i. Let r be j - ((1 - 7) + 4). Solve 0 = -r*f + c + 22, f - 4*c - c = 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -69. Let h = -5341 - -5335. Which is the closest to 0? (a) -2 (b) y (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1016 + 1779. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.03 (b) -3 (c) 102 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 103861 to the nearest 1000.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -605008, -605008, -605006, -605002, -604996, -604988?\n\"Answer: f**2 - 3*f - 605006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - 5*sqrt(280))\/sqrt(5))\/sqrt(8) - -4*(-3 + sqrt(567)))*-5.\nAnswer: -160*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6 + 0 + -4 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 33 (c) 0.77 (d) 0.103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 216558400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4 + 17. Suppose -h*u = -5*u - 4. Let z(s) = 4*s**u - 5*s**2 + 4*s**2. Let o(g) = g. Calculate z(o(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6 + (19 - 110\/6). What is the nearest to 0 in -2, -1\/40, v, 1?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 592861851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -4, 3\/8, 218 in ascending order.\nAnswer: -5, -4, -0.2, 3\/8, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 43. Let f be n(-7). Let x be 5*(4 - 1)\/((-15)\/f). Let z be 2\/8 + (-22)\/x. Which is the biggest value? (a) z (b) 1\/5 (c) -4 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-10)\/(-75))*258\/(-15). What is the highest common divisor of k and 1892?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-21)*(-2)\/3. Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -3*o - 0*o. Suppose 0 = -5*j - 2*k - k + o, -1 = -k. Calculate the greatest common factor of j and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 76 + 143 + 94 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let y = -155 - -158. Let s(p) be the second derivative of 3\/2*p**y + 0 - 2*p + 0*p**2. Determine g(s(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxyyppyxxxxpxxp. What is prob of sequence yxxp?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13444562 (base 7) in base 15?\nAnswer: -19bca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**2 + 2*q - 2. Let z = -100 + 110. Let r be 2\/3*z\/(220\/231). Calculate x(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(-2 - (-24)\/9). Suppose 0 = 4*h + x - 0. Let k = h + 5. Is 4 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-18))\/((-9)\/54))\/(-50)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431814, -431818, -431822, -431826, -431830, -431834?\nAnswer: -431838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42, 2\/13, -1, 1491, -5?\nAnswer: 1491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120 + 1231300?\nAnswer: 1232420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + 3 + -1 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73015*l - 72977*l + 146006*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/42 + 2 + (-42)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -53*f + 0*f**4 + 0*f**5 + 95 + 0*f**3 + 23\/6*f**6 - 1\/2*f**2. Find the second derivative of k(t) wrt t.\nAnswer: 460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 163 - (15\/3 - -2). Calculate the highest common divisor of o and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36572 divided by -1\nAnswer: 36572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 - 5*z**2 + 5*z. Let h(x) = 2*x**3 - 2*x**2 + 2*x. Calculate 5*h(c) - 2*m(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*b + 13 = 0, -t + 25 = -5*b - 0*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/407214 and -17\/5076?\nAnswer: 38278116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(20 + 39 + 59).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 + -1723\/10. Let b = 2187\/235 - -136\/47. Find the common denominator of s and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12390904.\nAnswer: 2, 83, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/2 + 9*w**3\/2 - 37*w**2 - 468*w - 1120 = 0.\nAnswer: -8, -7, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*((3 + 0 + 0)*(4*b**2 + 0*b**2 + 0*b**2) - b - b**2 + b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2. Let j(y) be the second derivative of -2*y**4\/3 - 10*y. Calculate k(j(d)).\nAnswer: 192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 8:19 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2492 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14403, 115146, 388571, 921018, 1798827, 3108338?\n\"Answer: 14390*m**3 + m**2 + 10*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -42. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 divided by 420?\nAnswer: 119\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369*g - 1452*g - 1808*g - 635*g + 17*g.\nAnswer: -5247*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5265.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(4 - (-18)\/(-4)). Which is the second smallest value? (a) 2\/3 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m - 9*m - 153 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 9:23 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860056 and 544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -284, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*x - 17*w + 102 = -420*x - 15*w, -12*x + 3*w = -261 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b - 2. Let x = 26 - 21. Suppose 0 = u + 4*t - 5 + 13, -3*u - 7 = -x*t. What is p(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 2212 = 28*l. List the prime factors of l.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3141, -3498, -3853, -4206, -4557, -4906?\nAnswer: -5253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5. Let p(g) = g**2 + 3. Let b(k) = -5*p(k) - 3*u(k). Let z(h) = 78*h**2. Determine z(b(n)).\nAnswer: 312*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 106, 0, -24, 2 in descending order.\nAnswer: 106, 2, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*16.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*y - 17 = -289*y - 5*l, 3*y = -5*l - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 + 7.3. Let g = 0.2 + 103.8. Let n = g + r. Which is the fourth biggest value? (a) n (b) 4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 2954*w**2 + 8240045*w - 15190062200\/3.\nAnswer: -(w - 1165)**2*(w + 11192)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/((-35)\/3545))\/(-1 - -2). Suppose 5*b - 2 = 3*b, -2*b = -3*j + p. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 4*q**2 - 4*q + 5. Let n be k(2). Suppose -372 = -2*t - 4*a, -2*t + 3*t - n*a - 207 = 0. Calculate the highest common divisor of 32 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/48720 and 211\/438480.\nAnswer: 438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55705477 and 32368.6.\nAnswer: 55737845.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 9*y + 24. Let m be n(-5). What is the third derivative of 7*j**2 + 52*j**3 + m*j**2 - j**4 - 52*j**3 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f - 6. Suppose -2*k - 14 = -m, 6*k - 5*k = -4*m + 11. What is u(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901719640.\nAnswer: 2, 5, 47, 1011553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 27*o + 15. Let t = 22 + -21.7. Let k = 3 - 2.8. Which is the closest to k? (a) 0.4 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2192 and 2215016.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ee4a - -d4?\nAnswer: -7ed66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*x + 17. Suppose 3477 = 2270*q - 7266 - 607. Solve -x*i + 12 = a, -2*a - 28 = -q*i - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 888 = -861*j, 3*j + 3*s + 3*s - 8*s + 16 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:51 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 8*q**2 - q**3 + 0*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 12. Let q(a) = -1. Let o(n) = 12*q(n) - t(n). Let x(d) = -3*d. What is x(o(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 15. Let d(v) = -17*v. Let r be (3\/(-2))\/(6\/8). What is the remainder when d(r) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 31823*i + 15910*i + 15913*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:13 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30447031.\nAnswer: 30447031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5318901\/85 + -62576. Let m = 5\/17 + p. Which is smaller: -7 or m?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180900173.\nAnswer: 29, 6237937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 + 9*t**4 - 11*t**4)*(-13 + 7 - 18).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/12)\/(-1*(-8)\/(-6)). Solve -2*p = c*y - 5*p, 0 = 2*y + 4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100101111111 + -1000001100?\nAnswer: -1011101110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 772 and 35859014?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107, 106, 105?\n\"Answer: -c + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 4\/7674187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-5 + (6 - 3) + 7 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/205 or -0.1?\nAnswer: 52\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(200) + sqrt(200))**2*-6 - -2*(sqrt(200)*-2)**2.\nAnswer: -41600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1646399 not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20\/9, 2\/5, 1\/16?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268*g**3 + 2*g - 2762*g**3 + 3*g.\nAnswer: -4030*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -5. Let b(a) = 14*a**3 + 6*a**2 - 11*a + 8. Let k = -14 + -3. Let q = k + 12. Let c(g) = -9*g**3 - 4*g**2 + 7*g - 5. Calculate q*b(v) + u*c(v).\nAnswer: 2*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139368*-0.1.\nAnswer: -13936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4839 and 53229.\nAnswer: 53229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Suppose 3*p = -l + q*l, -l = 4*p. Suppose -g + 2 = -0. Solve -r + 3 = p, 3*z - g*r + 3 + 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3519122*y**2. Let t(i) = -12*i. Give v(t(a)).\nAnswer: 506753568*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129569 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/5 - (-42)\/(-14). Suppose 8 = -4*t - 4*p, -k + 9 = 4*t + 3*p. Solve -t*v - 4*n - 9 = 5, v = 5*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let a(o) = -3. Let j(c) = 5*a(c) - 6*s(c). What is the units digit of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 8983920*t + 161709588.\nAnswer: 3*(t + 18)*(t + 2994622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 3:48 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = m - 27469, 3*m - 82437 = -0*m - 4*f. Let q be 16483\/m - 3\/5. Let a = 609949\/54950 + q. Calculate the common denominator of a and -55\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 31 + 29 = 0. Calculate the remainder when 8 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(17745\/(-7332)))\/(4\/26).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 10 (c) -1\/6 (d) 19 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 193 - 3 + 235 - 16 in the form b + s*u and give b.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose -2*c + 7*c + 12 = 4*r, -k*r + c = -6. Suppose -2*q = -q - 2*b - 3, 5*q - 3 = -2*b. Solve y - q = r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g + 5*g - g - 3*g. Let z(l) = 13*l**2. Determine w(z(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 65, 66, 41, -16?\n\"Answer: -g**3 - 4*g**2 + 40*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-4)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1204405578680\/29199417 - 424\/2246109. Let r = v - 41252. Let m = r - -40\/13. Which is the third smallest value? (a) -1 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 122*z**5\/5 + z**4\/4 - 2259*z + 2587. What is the first derivative of g(f) wrt f?\nAnswer: 488*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -77*k - 45. Let b be h(-3). Suppose -2*s = b - 826. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 9, 5, -5.\nAnswer: -5, 5, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 907619 by 14879.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 7013. Let j(h) = 3*h. Give f(j(g)).\nAnswer: -3*g + 7013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-14)*q)\/q)**5*(q\/(q**(-47)*q))\/(q\/q**(2\/9)))**(16\/7) assuming q is positive.\nAnswer: q**(-3424\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l - 2. Let b(d) = d**3 - 6*d + 1. Calculate -5*b(o) - 6*r(o).\nAnswer: o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.07 + -36.93. Let m = -8982 - -9024.0096. Let q = m + w. What is q rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 49*b**2 - 312*b + 17065. Give s(46).\nAnswer: -3635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0 + 1\/6*i**3 - 9\/2*i**2 - 4*i. What is the remainder when 23 is divided by t(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9491 - 91?\nAnswer: 9400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 0 in decreasing order.\nAnswer: 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4678534.137 to the nearest 1000.\nAnswer: -4679000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:27 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 4 (b) -0.2 (c) -65 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 6235380*k**2 - 1943954538825*k + 27216585691750 = 0. What is k?\nAnswer: -623545, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 0 + 0 - a + 0*a + 2*a + (a - a - a)*(-5 + 4 - 1) + a - a - 3*a + 142*a - 19*a + 84*a.\nAnswer: 208*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -4, -29 in decreasing order.\nAnswer: -4, -29, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45492*f**2 - 17*f + 107188 wrt f?\nAnswer: -90984*f - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177084 is divided by 59025.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2327 (base 8) to base 3.\nAnswer: -1200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 5*u - u + (-2 + 3 - 2)*(-3*u + u + 0*u))*(3*u**2 + 5*u**2 - 2*u**2) in the form w*u**2 + i*u + f + l*u**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**4\/2 + 44*i**3 - 123*i**2 - 1484*i - 4557\/2 = 0.\nAnswer: -31, -3, -7\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 5 + 3*g + g + 4*g + 6*g - 3*g**2 - g**4 to y*g + h*g**2 + l*g**3 + k*g**4 + a and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -11, 54, 145?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7472 divided by 467.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245104288 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 2:09 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 160, 12, 3, -3 in increasing order.\nAnswer: -3, 2, 3, 12, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 804, 1822, 3276, 5184?\nAnswer: 7564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12180 and 1914?\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 79*b**2 - 6*b - 2. Let y(s) = -s**3 + 7*s**2 + 3*s - 24. Let v be y(7). Let i be j(v). Let q = i - 493. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444478, 444480, 444482, 444484?\nAnswer: 444486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115221 (base 6) to base 9.\nAnswer: 15034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120958 rounded to six dps?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117163.\nAnswer: 117163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -57812\nAnswer: 11\/57812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -84*z + 88*z. Solve 4*m - 4 = -z*a, 5*m - 27 = -0*a + 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/210 - 5*q**4\/12 + 12*q**2. What is the second derivative of u(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2167 + 2189. Solve 2*w = -15*o + 11*o + q, 3*o + w = 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7239, -14478, -21717?\nAnswer: -28956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 26. Let s(z) = -z**2 - 3*z. Let i be s(w). Suppose -5*r + 4*d + 2903 = -0*r, -i*r - 4*d + 1178 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6236*f**2*m*y - f**2*m + 69*f**2*y + 3*f*y + 343*m - 462 wrt y.\nAnswer: -6236*f**2*m + 69*f**2 + 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 3*u)*(2 + 2 - 3) - 158*u - 105*u + 54*u.\nAnswer: -210*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3444.\nAnswer: -1033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, 0.2, -2, 1412, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77125285*o**3*u**2 - o**3*u + o**3 + 56677*o**2*u + 2*u wrt u.\nAnswer: 154250570*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 6 (c) -547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111782 + -34517. Does 85 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9276926 to the power of 1\/2, to the nearest integer?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3 - 126*r**2 - 649*r - 786 = 0.\nAnswer: -3, -2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -415 - 3563*i**2 + 674*i + 0*i**3 + 1303 + 1662*i**2 + 1685*i**2 - 2*i**3.\nAnswer: -2*(i - 4)*(i + 1)*(i + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 198 = -2*v, 2*v = -2*f + 82. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-6)\/(-5))*2. Let o = -29.3 + 29. Let j = 128 + -642\/5. Which is the closest to j? (a) k (b) o (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*w - 2 = -0, 0 = -3*a + 2*w + 10. Let m(s) = 1 - s + 5 - 2 + s**3 + 7*s**a. List the prime factors of m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -27. Let a = 1583\/20 + w. Find the common denominator of -71\/14 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -68101*y**3 + 902*y**2 + 451*y + 451. Let s(h) = -454*h**3 + 6*h**2 + 3*h + 3. Calculate 3*a(m) - 451*s(m).\nAnswer: 451*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/3))\/r**2)\/(r**(2\/17)*r**(-1)*r)*((r*r*r**(1\/4))\/((r**4*r)\/r))**(-31) assuming r is positive.\nAnswer: r**(10907\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 19*k - 1 - 21*k - 16*k.\nAnswer: -32*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - 0) + 0)*1\/2. Suppose -3*h - y - 114 = -8*h, q = 5*h + 3*y - 98. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -5 (c) 10215495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -226*n + 228*n. What is the lowest common multiple of n and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 15 - 1\/3*p**3 + p - p**2. Calculate s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -16*k**2 + 11*k + 5. Let p = 5 - 7. Let n(a) = 3*a**2 - 2*a - 1. Determine p*r(l) - 11*n(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:57 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9309 and -0.9.\nAnswer: -8378.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509 - 507. Which is greater: 62 or q?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**21)**46*((n**1)**(2\/35))**(1\/4) assuming n is positive.\nAnswer: n**(-33809\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*((-5)\/(-15) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = -4*t, -2 + 4 = 2*k. Suppose -3*w + 12 = -0*w. Which is the closest to w? (a) 0.2 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 49*j - 3219. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2773, -4713, -6653, -8593, -10533?\n\"Answer: -1940*r - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2332*u + 2331*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s + 0*s)*(4*s**2 + 4 - 4) + 0 + 0 - s**4 + (-3*s + 2*s**2 + 3*s)*(-s + s - s**2) + 2*s**4 + 2*s**4 - 3*s**4.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - c - 11 = 0, 4*z + 4 = 2*z - 4*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*r - 26 = 0, 13*x - 15*r = -10*x + 25*x - 11*r + 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000211101 - 121121?\nAnswer: -1001102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.14754 (b) -0.9 (c) -34 (d) -5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4700 = 41*s + 23*s - 4836. Calculate the greatest common divisor of s and 596.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by 2\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 16*h - 16. Let j be 4 + (-4)\/1 + 6. Suppose j*m = 19 - 109. Give y(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*d + 10 - 4, 3*v - 12 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66297093 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 498636*r**2 + 24926175*r - 311553750 = 0. Calculate r.\nAnswer: 25, 166162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004 (base 7) in base 6?\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3, -115.57, 0.08, 65?\nAnswer: -115.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j + j**2 + 0*j - 6 - 3*j - 13*j. Let i be 4\/(0 + 1) - -1. What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, -106, -132, -164, -202, -246?\n\"Answer: -3*i**2 - 11*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/11)\/((f*f**(3\/17))\/f) assuming f is positive.\nAnswer: f**(-169\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8)*(-4)\/6. Let i be (-105)\/(-50) - (-6)\/(-4). What is the nearest to -2\/5 in -1, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:12 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Suppose -5*b = -2*o, o - 1 = 3*b - v. What is the second derivative of w - b*w**3 + 0 + 0 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*u - 5*d, -145*u + 143*u + 104 = -2*d + 76 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 25 = -2*m, 6*y - 5*y + m = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 13 - 17 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2278863.\nAnswer: 5\/2278863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528.925366 rounded to 0 dps?\nAnswer: -1529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 1)*(-4*n**3 + n + 0*n**3 + 2*n**3)*(0 + 13 - 3).\nAnswer: 240*n**3 - 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -4 (b) -3\/19 (c) 0.09 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.3, 5, 4.24 in increasing order.\nAnswer: -1\/6, 0.3, 4.24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -152 - 8667?\nAnswer: -8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 482 = -5*m - 3*o, 5*o + 88 = m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 3. Let w = 40 + -22. Calculate the lowest common multiple of w and (1 + p)*22\/4.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4831309308 divided by -2?\nAnswer: 2415654654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2968 and 34274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 130*l**4 - 4552*l**3 - 18640*l**2 + 133424*l - 153760 = 0. What is l?\nAnswer: -62, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:50 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/40 - 7*g**5\/20 - 8*g**2 + 2. Determine v so that h(v) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104, 150, 198, 248, 300?\n\"Answer: l**2 + 43*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 351. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**3 + h + 2*h**2 + 17*h**3 - 9*h**3 as w*h**3 + a*h**2 + n*h + t and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 358746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43654953?\nAnswer: 3, 1231, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 35\/15)\/(1\/(-3)). What is the second derivative of -5*p**3 + 4*p**3 + 20*p + 21*p - 20*p**j + 13*p wrt p?\nAnswer: -400*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 231 (b) 2\/5 (c) -4 (d) -5 (e) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 471132*b**3*l**3 - 1615276*b**3*l**2 - 5*b*l**3 + 2*b*l**2 wrt l.\nAnswer: 2826792*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (-2 + sqrt(80)*-2 - sqrt(80)).\nAnswer: -12*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 12 - 2*r**2 - 6*r**3 + 2*r**2 to i*r + w*r**3 + s*r**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5326175 and 227050.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 55c?\nAnswer: -55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371221498?\nAnswer: 2, 73, 113, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(304) + (1 + sqrt(304)*1)**2 + 0).\nAnswer: -1220 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -3*l + l - 5*p, -l = 4*p - 249. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130689*n + 130348*n - 27280 = 0 for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24835360 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 130964*z - 16*z**3 + 130963*z.\nAnswer: -22*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-533 - 938 + 142)*(-3*m + 5*m + 2*m).\nAnswer: -10632*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 4, r: 1, z: 4, t: 2}. What is prob of sequence gl?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36b (base 13) to base 3.\nAnswer: -211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 221*t**4\/12 + 2*t**3\/3 + 394*t**2 - t - 157. Find the first derivative of g(n) wrt n.\nAnswer: 442*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a01 (base 11) in base 5?\nAnswer: 202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (-2132)\/41) + 8?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**3 + 4*v**3 + 2*v**2 + 3*v**3 + 0*v**3 + v - 1. Determine t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 2*v**2 - 3*v - 2. Let p be w(-2). Let o = 11 + -10.5. What is the second smallest value in 3\/4, o, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 3. Let r be b(0). Suppose -3*c + 4*p = -5*c - 8, 0 = -r*c + 4*p - 12. What is the tens digit of 106\/8 + c\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 8*q**2 - 11 + 2*q**3 - 4*q + q. Let f(l) = 3*l**3 - 8*l**2 - 2*l - 10. Let x(w) = -4*c(w) + 3*f(w). What is the units digit of x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -36352603.\nAnswer: 1\/36352603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-w**2 - w**3 + 1 + w**2).\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 3*h - 10. Let y(t) = t**2 - t + 1. Let r(w) = a(w) + 2*y(w). Is 22 a factor of r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 84.73465cm?\nAnswer: 0.0008473465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3864840 or 3864841?\nAnswer: 3864841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*f**2 - 236*f**2 + 3029*f**3 - 4694*f**3 + 474*f**2.\nAnswer: -1665*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b**2 + 33*b - 19. Let c(y) = 10*y**2 + 16*y - 10. Let o(n) = -7*c(n) + 4*j(n). Determine o(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 13*a**2 - 21*a - 7. Let x be t(11). Let w = 0.2 + 0.1. What is the third biggest value in -0.2, x, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9326 and 9327 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/9 - 92*f**2\/9 - 572*f\/9 - 484\/9.\nAnswer: -4*(f + 1)*(f + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 543, 633, 759, 921?\n\"Answer: 18*x**2 + 36*x + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-3))\/((-10)\/(-15)). Let k(w) = -11*w**2 - 25*w - 24. Let q be k(-1). Let x be q*(-4)\/(-16)*(-20)\/(-6). Is z greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3537 and 33405?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24208 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1 - 4*o + o + 1 + 5*o**2. Let m be f(1). Solve -m*t**2 - 4 + 4*t**3 + 0*t**2 + 4 + 4*t**4 - 4*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 4. Suppose 0 = 4*l + 4*i - 0*i + 12, -5*l = 2*i + 6. Let b(q) = -2 - 4*q + q - 2*q + l. What is 5*b(f) + 2*h(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20*t**2 - 3*t - 35. Let u(k) = 11*k**2 + 727*k + 60. Let l be u(-66). Let q(p) = -7*p**2 - p - 12. Determine l*d(b) + 17*q(b).\nAnswer: b**2 + b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (3 + (-1 - (-4 - 1))) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 59*k + 1351. Determine l(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -228 - 58?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(-3)\/(24\/112). Calculate the highest common divisor of z and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*4\/(-10))\/((-18)\/30). What is the closest to y in -563, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and 9.22?\nAnswer: 4.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41855 + 56798. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 + 8*v - 1 + 2 + 2. What is u(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-10*(7 - (-9009)\/(-455)*(-2)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let d(f) = 2*f**2 + 13*f - 2520. Let w(x) = 4*x**2 + 22*x - 5033. Let k(q) = -5*d(q) + 3*w(q). Determine k(l(u)).\nAnswer: 2*u**2 - u - 2499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -88046, 2, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.0239.\nAnswer: 0.1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018698993 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 24*i**2 + 18*i - 28. Let g be o(23). Let k = g + 203. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - v + v)*(-27*v - 248 - 61*v + 100*v).\nAnswer: -24*v**5 + 496*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 3, l: 6, x: 4, a: 1}. Give prob of sequence xavx.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.80121 to 1 dp.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21135, 21134, 21133, 21132, 21131?\nAnswer: 21130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000200611419 rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808 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: In base 2, what is 110 + -11110001100110101111?\nAnswer: -11110001100110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 275*s - 1642. What is y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -133. Let x = -29 - u. Let f = 3528 + -3508. Calculate the greatest common divisor of x and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12939750130596\nAnswer: 12939750130597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 + 365886*b - 3252091?\nAnswer: -6*b + 365886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1212101822 divided by -2\nAnswer: -606050911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*u**2*y**3 - 7*u**2 + 5*u*y**3 + 8*u*y - 21*u + 1 wrt y.\nAnswer: 528*u**2*y + 30*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.023, -4, 7 in increasing order.\nAnswer: -4, 0.023, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 855744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*a + 10 = 0, -61*q + 62*q - 11*a + 94 = -2*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 10. Suppose -v - s = -4, -s - 14 = -4*v - h. Let g(a) = 10*a**3 - 18*a**v - 1 - a**3. Determine g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690994.43 rounded to the nearest 100?\nAnswer: 2691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a - 10*a**5 + 8*a - 4*a**5 + (56*a**2 - 5*a**2 + 74*a**2)*(4*a**3 - 2*a**3 - 3*a**3).\nAnswer: -139*a**5 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 123 = 58*c - 183. Solve -38*p = 2*v - 33*p + 13, v + c*p = -7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 1. Suppose -17*w - 51 = 34. Let p(u) = -6*u - 2. Calculate w*n(v) + 3*p(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*z**3 - 116*z**3 - 86*z**3 + (-4*z + 4*z + 6*z)*(-3*z**2 + 0*z**2 - z**2) in the form v*z**3 + j*z + y*z**2 + f and give v.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11*g*g\/(g\/(g*g*g**(1\/16))*g))**(-1\/40))**(2\/69) assuming g is positive.\nAnswer: g**(-209\/22080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1186, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 10542 + 7577. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*h + 51 = 0, -4*d - h - 2*h = -57. What is the smallest common multiple of d and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717730 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(448)*3 - sqrt(448) - (sqrt(448)*2 + 0)) + (sqrt(448) + 5 + sqrt(448) + -2 - (sqrt(448) + 3 + -3*sqrt(448) - sqrt(448)))**2.\nAnswer: 11195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and -0.05.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {w: 9, g: 1, z: 1, i: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*r - 44349 = 5*r, 4*r = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14270 is divided by 4735.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let c(s) be the second derivative of -11*s**4\/12 - 4*s. Give z(c(w)).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 - -2.2?\nAnswer: -194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 28.1. Put 1\/3, 5, -3, d in increasing order.\nAnswer: -3, d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -39*i + 616. Calculate the highest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-8)*(2 - 0). Let r be (w + 7)\/(6\/4). Suppose -5*g = -r + 32. Let d(v) = v**3 + 6*v**2 - 3. What is d(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*p + 5, 2755*i - 2757*i - 2*p = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, q: 7}. Give prob of picking 2 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let w be -7 - (u + -1 - 0). Let f = 25 + w. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmpbbpbbiopfmiipiop. Give prob of picking 2 i and 1 m.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*v**2 + 401*v**2 - 787*v**2 - 19*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13850339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 - 23 - -4) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -15 - (28 + -45 - -98).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:40 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*h - 1184 - 1108 = 0, -5*w - 4*h + 2264 = 0. Suppose 29*l - w = 10*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h - 3*h + 4*h)*(1 - 3 + 1)*(0 + 26 + 7) as s + r*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 8 - r**3 - 4*r + 6. Suppose 0 = l + 7 + 4. Suppose -5*b = k - 13, 0 = -4*b - 0*b + 12. Let c(a) = -5*a**3 + 21*a + 10. Give k*c(i) + l*h(i).\nAnswer: -i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*(15 - 12). Let n(x) = -1 + 6 + a - 14*x**2 + 47*x**2 - 26*x**2 + x**3 + x. Determine n(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 104*x**2 + 4200*x.\nAnswer: 2*x*(x + 50)*(x + 210)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.281 - 1.639. Let u = i - -22.59. Let g = -0.13 - u. What is g rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - 4127*m**3\/3 + 1430965*m**2 - 23930475*m.\nAnswer: m*(m - 2055)**2*(m - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020.48001 rounded to the nearest integer?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -5, -6, -1741, 4 in descending order.\nAnswer: 5, 4, -5, -6, -13, -1741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206564539.9 - -195639176.066. Let c = d - -10925157.83399834. Let b = c - -206. What is b rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-414)\/(-12) - (7\/(-2) - -3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/12))**(-7\/5) assuming n is positive.\nAnswer: n**(-91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/(((-75)\/100)\/((-3)\/(-11)))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1011 + 1171. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + sqrt(637) + (-1*sqrt(637)*1)**2 - (2 + (-2*sqrt(637))**2).\nAnswer: -1913 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 10. Let s be q(-10). Suppose -4*o + 2*o + 62 = s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -71.4. Let f = 5 + -3. What is the biggest value in t, -3, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from wqbqqcwcwqjwwc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301052126 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -109*-0.4\nAnswer: 43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 20, -7, -10, -5, -2.\nAnswer: -10, -7, -5, -2, 18, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 98*a + 1 + 4 - 4 + 95*a - 2*a**4 - 68*a to u + z*a + f*a**4 + t*a**3 + l*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/(-72))\/((-4)\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(8\/(-4 + 6) - 3). Which is the second smallest value? (a) -2 (b) m (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b**2. Let g(v) be the first derivative of v**2\/2 + 26*v - 5989. Calculate g(d(c)).\nAnswer: 34*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2 - 18. Suppose -y = 2*t - t + 2, q*t = -12. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23369.03 grams in nanograms?\nAnswer: 23369030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/3*585\/1092)\/(54\/21)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109525 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166.8905 + 0.5519. Let h = 0.1576 + l. Round h to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 187398981?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 175.8 and 3\/449 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {r: 2, a: 11, j: 1, d: 1}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 941\/6578 + -2\/299. Find the common denominator of v and -3*(-3)\/9 - (-3570)\/504.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 16*h**2 - h - 12. What is the smallest common multiple of 7 and f(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let a be y(0). Suppose p + 0 - 12 = a. What is the second derivative of -11*c + p*c**3 + 2*c**4 - 12*c**3 - c**4 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14*f*f)\/(f*(f\/(f\/(f*f**(-3)*f))*f)\/f*f)*f\/f**12*f**(-5\/8) assuming f is positive.\nAnswer: f**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(2*u - 4*u + u + (231 + 1101 + 14)*(-u + 3*u + 0*u)) as m*u + j and give m.\nAnswer: 5382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 126, -8 in increasing order.\nAnswer: -9, -8, 4, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x**(-9)*x**(1\/6)\/(((x*x\/((x\/(x**(-9\/4)*x))\/x))\/x)\/x))**(-2\/57) assuming x is positive.\nAnswer: x**(-257\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53020165*z**3 + 26510115*z**3 + 26510049*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18115644 is divided by 1491?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 13*v - 18. Let y be l(-11). What is the common denominator of -47\/30 and (-21)\/14 + (-238)\/y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -77. Let w = 76 + m. Solve -1 - w = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.47*48.\nAnswer: 70.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -562.\nAnswer: 6744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - 78\/(-18). Let f = -5 + n. Let m = f + 5. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 8. Let l be a(-5). What is the third derivative of -2*o**2 + 6*o**2 + 4*o**5 - 7*o**2 + 5*o**l wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 25, 0 = -4*z + 3*l + 27. Find the third derivative of 116*h**3 + 196*h**2 - 205*h**2 + 161*h**z + 6*h**3 wrt h.\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/240 - n**5\/60 - 10*n**2. Factor z(q).\nAnswer: -q**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10300 (base 4) in base 2?\nAnswer: 100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 9) to base 15.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 5, -32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Let u = -5.04 - -0.04. What is the second smallest value in z, 5, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 97647237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 51*i - 185. Let v be z(-32). What is the greatest common divisor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -0.09, -1\/4, -6.13, -57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -113*s**6\/120 - 29*s**5\/30 + s**3\/2 + 2*s**2 - 11*s. Find the third derivative of b(a) wrt a.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3385*n + 4707*n - 3988*n - 1599*n**5 wrt n?\nAnswer: -31980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2668 divided by 29\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m + 3. Let x be a(-2). Suppose 0 = 5*j - 9*j + 36. Suppose -3*y = -4*t - 60, j*y = 4*y + t + 83. Solve o - y = -x*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2288378*z + 9. Let p(a) = a. Give p(g(y)).\nAnswer: 2288378*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0 - s + 2 - 3 - 4*s**2 + 3*s**2. Suppose 0 = -5*m + 12 - 2. Let a(d) = 7*d + 7 - 3*d**2 + 0*d**2 + 9*d**m. Give 2*a(z) + 14*k(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/17 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 52. Calculate the remainder when i is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1. Let o(z) = -3*z + 6*z + 4 + 0*z + 0. Determine -o(l) + 4*r(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79222 + -10203. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000943363 rounded to six dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 - 95*t**3 - 495*t**2 - 405*t = 0. Calculate t.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k - x, x - 12 = -2*k - 0*x. Let u be 31\/((-589)\/38) - (-4)\/2 - 0. Factor u + 2\/3*w**k + 11\/6*w**2 - 13\/6*w**3 - 1\/3*w.\nAnswer: w*(w - 2)*(w - 1)*(4*w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46)\/(-2))\/(2\/2). Let d = -8 + s. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 = 7*r + 585 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dunflffufvlndu. What is prob of picking 1 d and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 143 = -4*l - 146, -3 = -3*l + 2*t. What is the nearest to 2 in -25, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 9:20 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o = o - 10*o. Sort o, -1\/3, 2\/41, -2 in decreasing order.\nAnswer: 2\/41, o, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - 0.23. Suppose -5*f - 19 = 1. Which is the second smallest value? (a) f (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 47.5 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 - -224. Let v(u) be the third derivative of 5\/3*u**q + 0*u - 1\/60*u**5 - 5*u**2 + 0 + 5\/24*u**4. What is v(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 17 - 17. Let m(g) = 8042 - 16114 + 8067 + 2*g. What is m(k(o))?\nAnswer: 4*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h - h)*(3331727 + 2660*h**2 - 3331727) + (2*h - 2*h - h**3)*(1 + 5*h - 1) + 3*h**4 - 2*h**4 + 0*h**4.\nAnswer: 2656*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60488 + 91725. List the prime factors of o.\nAnswer: 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1420 and -67\/2272?\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557026?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 18. Let d(c) be the second derivative of -c**4\/6 + 5*c**3\/3 - c + 248. Let t(i) = i. Let q(k) = p*t(k) + d(k). Let r(x) = 3*x**2. Give r(q(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/28079 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -29. Let u(a) = -11*a - 6*a + j*a. What is u(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*b - o - 4, -b - o = 0. Suppose 10*z = -2*n + 5*z - 137, -2*z + 196 = -3*n. Is 11 a factor of 0 + (n\/b)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*x + 248*x + 91 = 478 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945726 is divided by 472853.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2580121*d**3 - 4046191*d**2 wrt d?\nAnswer: -15480726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 * 128.\nAnswer: 24.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 800 = 800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - -0.2. Let p be ((-20)\/12)\/1 + 1. Let n = -65 - -327\/5. Which is the closest to 0? (a) n (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 12 + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6, -5*k - 4*c + 161 = -12. Let g = k + -21. Suppose -d = 3*d - g. Solve 2*b - 18 = d*r, -3*b - r + 17 = -2*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h + 7. Let r be (-10)\/4*(-4)\/5. Suppose 8 = -r*c + 2*x, 4*x = -0*x + 16. Give m(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 14) to base 11\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -13*i**3\/6 + i. Let f(x) be the second derivative of 1\/6*x**4 + 31*x + 0*x**3 + 0 + 0*x**2. Determine f(d(t)).\nAnswer: 338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -t. Suppose -t*h - d + 0*d = -11, 0 = 3*h - 4*d. Suppose -70 = -h*u + 14. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -17*d + 98, 5*d - 38 = -155*g + 152*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 533 = 2*s, 4*s + 11*s - 30 = -4*s + 16*s + 2*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 287.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -52*s + 213. Let u = 397 - 393. Let m be i(u). Which is the biggest value? (a) 2\/9 (b) m (c) 3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 576 - -1715. List the prime factors of n.\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0.04 (c) 5 (d) -227 (e) 0.095\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-352)*(-8 + 19 - 10 - 9)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = -4*k + 24, -4*p - k = -41. Solve 2 + 8 = -p*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -155, -446, -985, -1850, -3119, -4870?\nAnswer: -7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:53 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874639877 a multiple of 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -28, 30 in ascending order.\nAnswer: -28, -2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6225 is divided by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let v(m) be the second derivative of -m**3\/6 + m + 103. Give r(v(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 214. Let a(d) = -d + 107. Give -7*a(z) - 3*n(z).\nAnswer: z - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18299 = 10*b + 3949. Suppose 3*a - 3996 = -y - b, y - 4267 = -5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwqq. What is prob of sequence qw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 32*t - 144.\nAnswer: (t - 4)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 299067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n - 5. Let x be o(-5). Suppose 3*b + s = -99, -b - 4*s = -0*b + 22. Let q = b + 169\/5. Is x > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 4209*u\/5 + 3364\/5.\nAnswer: (u - 841)*(5*u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 11) in base 2?\nAnswer: 101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**3 - 6*r**2 - 5*r - 6. Let m(y) = -32*y**3 + 17*y**2 + 14*y + 17. Calculate 17*a(c) + 6*m(c).\nAnswer: -5*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*h + 106 = 0, -c + 10*h = 6*h - 62. What is the greatest common factor of 574 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(3))\/sqrt(4) + -1)*4)**2 - (sqrt(175)\/sqrt(28) - sqrt(25))\/(sqrt(40)\/sqrt(2)).\nAnswer: -127*sqrt(5)\/4 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15436.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/18)*a)\/a)\/a*a*a*a**(5\/11)*a*a*a)\/(((a*(a*a*a*a**(-1\/3))\/a)\/a)\/a**(4\/9)) assuming a is positive.\nAnswer: a**(217\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 6*((-12)\/8 - -1). Suppose 0 = -d*f + 19 - 9. Solve f*r - 5 = -1, -15 = 3*q - 3*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 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: Let f be -6*24568\/(-60)*(-165)\/(-22) + 0. Do f and 18426 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/10 + 47*p**2\/5 - 733*p\/10 - 1494.\nAnswer: -(p - 83)*(p - 20)*(p + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 > -4.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddfdddqddfdff.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1826 and 154.\nAnswer: 12782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c)**(-2\/55)\/(c**(-4\/7)*c**(-7)) assuming c is positive.\nAnswer: c**(2943\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80\/3*r**4 - 266\/3*r**3 + 40\/3 + 370\/3*r**2 - 8\/3*r**5 - 208\/3*r = 0.\nAnswer: 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2 + 16. Let w be (-2)\/4 - (-3)\/6. Suppose -b = s + 3*u, s - u - u - 9 = w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*y**5 - 69*y**5 - 177*y**2 + 151*y**5)*(-5 + 0 + 3).\nAnswer: -4*y**5 + 354*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(84)*-2)\/(-1*-3*(sqrt(12) + sqrt(60)\/sqrt(5))).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 2542, 0, 2 in increasing order.\nAnswer: -3\/7, 0, 2, 2542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10924 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 49, 32, 15, -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**3 + 11*a**2 - 28*a - 5. Let c = 485 + -476. Is n(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, 2, -4, 12 in decreasing order.\nAnswer: 32, 12, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 41*b**2 + 20*b + 36. Is c(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175500 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, -9\/7, 4, -2, 94?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 3 - 3) + -9 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h + 4. Let n(s) = -9*s + 5. Let z(g) = -6*n(g) + 5*x(g). Let u(v) = -v**2 - 15*v + 11. Let i(c) = -4*u(c) - 5*z(c). Factor i(o).\nAnswer: 2*(o - 1)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25186447?\nAnswer: 11, 13, 176129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0905 - 256.0905. Let q = 255.6 + t. Sort -122, q, -5.\nAnswer: -122, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18951708 and 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*w - 138. Let j = w - -85\/4. What is the nearest to 0 in -0.3, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27618 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -4*j - 90. What is the highest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 + 4*a - 3. Let d be n(0). Let k be ((-1400)\/(-672))\/(d\/(-12)). Factor k*i**3 + 30*i**2 - 13*i + 4\/3.\nAnswer: (i + 4)*(5*i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7356)\/(-188))\/(-52 + 55) + -13\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1724.77 decades to millennia.\nAnswer: 17.2477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -127, -1058\/25, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 t when three letters picked without replacement from mqtgyyymytynmmmmm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 699, 1049, 1399, 1749, 2099?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 754*c**2 - 3*c. Let q(x) = -376*x**2 + x. Determine 3*d(n) + 7*q(n).\nAnswer: -370*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (25 - 3) + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 1655 = 22*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.58 at least as big as 1059\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10419714*o. Let r(u) = u**2. What is r(b(j))?\nAnswer: 108570439841796*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*w**5 - w**2 + 6*w?\nAnswer: -15000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.003 in 3\/4, 0, 0.2, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = -24. Let b(p) = 3*p**2 - p**2 + 16*p + p**2 - 4*p**2 + 22. What is the units digit of b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqxqqqxqxq. What is prob of picking 1 x and 1 q?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345624295 - 345624295 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1531, -3055, -4579, -6103, -7627?\n\"Answer: -1524*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/54*(-18)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -n - 3*u, -9*u = -2*n - 8*u + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 1, e: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231142552 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-17 - -23)) + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1995 + -2051 - (-2 - (-33 - 0))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-32)\/(-30) + 50\/(-125). Suppose 0*s = z - 2*s + 2, -3*z = 5*s - 27. Which is the fourth biggest value? (a) z (b) k (c) 5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(85\/4)*30\/132\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311157163*m**2*x**2 + 113*m**2*x - 1301451*m*x wrt x.\nAnswer: -622314326*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 2. Solve 6*z**3 - 2*z**5 - 3*z - 5*z**3 + z + m*z**3 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3135?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11330 and 66?\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.78 + 48. Let w = k + 0.48. Let c = w + 0.4. What is the closest to c in 0.2, 3, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31421, 31414, 31407, 31400?\nAnswer: 31393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**6\/24 + c**4\/24 - c**2 - 1. Let d(z) be the second derivative of y(z). Let t be (6 - 4)*1\/(-2). Calculate d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280332810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b0 (base 16) in base 2?\nAnswer: 10010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -47. What is the remainder when 1580 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/((-12)\/(-54)). Suppose -2*l + v*m - 29 = -3*l, 3*l - 2*m - 32 = 0. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*r - 32 = 7*h + 666*r, 2*h - 2*r - 68 = 3*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 14*y**2 - y + 15. What is the units digit of o(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 69 = 56. Let r = 71 - y. What is the second derivative of 6*p**5 - 49*p - 2*p**4 + 2*p**4 + r*p wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14736678 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. What is the derivative of -3*c**g + 2*c**2 + 18 - 13 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-40)\/4*232 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30386 and 26?\nAnswer: 395018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/7)\/a)\/a**(-5)*(a**16*a)\/(a*a**(2\/25)*a))**(2\/41) assuming a is positive.\nAnswer: a**(6472\/7175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (-1*(-4*sqrt(68) + sqrt(68)) - sqrt(68)))\/(sqrt(324)*6) + -5 + -5)**2.\nAnswer: -10*sqrt(17)\/9 + 32417\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/13 + 680*a**2 - 751400*a = 0.\nAnswer: 0, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**5 + 5*l**4 - 85*l**3 + 15*l**2 + 3683*l + 1?\nAnswer: -300*l**2 + 120*l - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 92124.021 to the nearest ten.\nAnswer: 92120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 9) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.322 and 12186986923?\nAnswer: 12186986922.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 7*s + 14. Let n be i(-8). What is the third derivative of 13*g**2 - 19*g**6 - 33*g**6 + 16*g**n - 10*g**6 wrt g?\nAnswer: -5520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 287792, 574710, 861628, 1148546, 1435464, 1722382?\n\"Answer: 286918*h + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12977.48ml?\nAnswer: 12.97748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*d - 19 = 0, -4*l + 1530 = 2*d + 1534 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (-8 + 9). Suppose 0 = c - 2*p + 30, -5*p = 5*c - 0 + 105. What is the remainder when 41 is divided by (c\/48)\/(f\/(-68))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o - 31*o - 45*o + 233*o - 43*o - 34*o - 36*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -35.9.\nAnswer: 7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**2*r)))**(-45)\/((r**(-1\/5)\/r)\/r)**(-39\/4) assuming r is positive.\nAnswer: r**(-3129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342027 is divided by 5014.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*i + 138, 37 = 3*i - 3*x - 47. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6 + 2 + 1 + 2*a + 4. Give s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 10. Let b = 0 + i. Suppose -b*o + 226 = 4*l, -36 = -2*l + 3*o + 89. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 651211\/4 or 162802?\nAnswer: 162802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 1406703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-96)\/44 - (-900)\/(-132) - (-680)\/97?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 62*w + 4*w - 6*w - 4*w. Let k(x) = -x**2 - 3*x. Let a(t) = t. Let j(r) = 6*a(r) + 2*k(r). Give j(f(i)).\nAnswer: -6272*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 3. Let s(h) = -2*h**2 - 4. Let m(d) = -3*s(d) + 4*x(d). Let p(y) = 7*y**2 - 6*y**2 - 6*y - 4*y**2 + 2*y. Determine m(p(u)).\nAnswer: -18*u**4 - 48*u**3 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/594 + (-336)\/56?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3 - 17. Suppose 0 = -2*u - u. Solve u = 3*x + 2 - i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*120\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -428*w + 276.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355*w**6 - 83*w**4 + 9*w**3 + 75770*w**2 - 19*w wrt w?\nAnswer: 42600*w**3 - 1992*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, n: 3, b: 5, z: 2}. Give prob of sequence zc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x)**(2\/3) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1 - 4*a - a**2 + 0*a + 9*a. Give y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191 - 20 + 28)*(-2*a**4 - 2*a**4 + a**4).\nAnswer: 549*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-598)\/(-12) - 7\/21 and 37\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 354 + -159. Suppose a + 8 = 3*a. Suppose -2*l + a*h - 133 = -5*l, -h = -4. What is the highest common factor of l and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {p: 1, o: 1, t: 1, m: 4, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(s**2 - 47*s**4 - 8*s**2 + 48*s**4 + 4*s - 4*s - 3*s**4 + (-2*s**2 - 4*s**2 + 7*s**2)*(-3*s**2 + 0*s + 0*s) + 4*s**2 - s**4 - 4*s**2).\nAnswer: 6*s**4 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662.218 litres in millilitres?\nAnswer: 2662218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 3, h: 5, g: 9}. Give prob of picking 2 v and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10)*-2)\/((-3629)\/(-955))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -1\/2 (b) 3\/8 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - 195.75. Let k = h - -196.4. Which is the second smallest value? (a) 5 (b) k (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -6, -0.1, -0.5, -5.1, -3.71, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*t - 1655*t + 15761 = -1711 for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593671751?\nAnswer: 151, 797, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 3*l + 181 = 190, 6 = -2*i + 4*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10946 + 27664. Calculate the greatest common factor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68889942 to the power of 1\/2, to the nearest integer?\nAnswer: 8300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f + 4. Let m be w(0). Is (2\/m)\/(1\/3802) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12*n**3 + n + 1 - 2*n**2 - 1. Let u be o(1). Suppose 2*p = c + 17, 3*p + c + 0*c - 38 = 0. What is the greatest common factor of u and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2925290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 4*c**2 - 2*c - 1. What is q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73286 divided by 5.\nAnswer: -73286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 2\/7 (c) 3 (d) -37161 (e) 2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 4 - 34. Put -3, -1, t in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3 + 0 - -4). Suppose q = -5*n - 25, 3*a = -n + 8 - 1. Suppose -a*i + 4*c - 56 = -8*i, 0 = -5*i + 5*c + 110. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 232.94655us?\nAnswer: 0.000000064707375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.497368 kilograms to micrograms.\nAnswer: 8497368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 15395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - b**3 - 2*b**3 + (b - b - b**2)*(0 + 0 + b) - 47*b - 13*b**3 + 47*b + b**3 + 3*b**3 - 5*b**3 to a*b**2 + m*b**3 + q + j*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tztzzftpczp. Give prob of sequence fpp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153))**2 + -1 + sqrt(17) + 2.\nAnswer: sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0707614 + 0.07072. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 452\/340*-3. Let c = q + -78\/595. What is the biggest value in 0, c, 2\/13, 0.09?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 100*f - 180.\nAnswer: -5*(f + 2)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-236)\/(-6) - (-3)\/(-9). Let w = 12 + -7. Let g = w + l. Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*d - 1761009, -4*w - 2935012 = -3*d + 8*d. Round d to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)**(9\/10))**20\/(g**6*g\/g**(-3\/4)*(g\/g**(-9))\/g**7) assuming g is positive.\nAnswer: g**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107691697\/10185 + 147957\/14. Let i = -2140595\/582 + 3678. Let s = i + z. Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 2908*u\/13 - 5808\/13.\nAnswer: -2*(u + 2)*(u + 1452)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175.5 - -175.54505. What is r rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 296\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/143 + 16\/143. Put 1.88, -2\/11, d in descending order.\nAnswer: 1.88, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 + ((-1)\/(-6) - 132296384\/(-1536)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + -6. Is l*1*(-2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9141, -8432, -7649, -6798, -5885, -4916, -3897, -2834?\n\"Answer: -z**3 + 43*z**2 + 587*z - 9770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 22 = -5*p. Let u = 4 - p. Solve 3*l = -h - u, -l - 11 = -0*l + 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 u when four letters picked without replacement from {w: 4, p: 1, u: 4, l: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 7*k + 8. Give c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-192)*(-2)\/15. Let h = f - 3\/16. Let d = 0 - 0.5. What is the biggest value in d, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.6. Let c = -2.4 + o. Let m = -6 + 4. What is the biggest value in c, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 9, l: 2, u: 5, z: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17179, 34357, 51533, 68707, 85879, 103049?\n\"Answer: -q**2 + 17181*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(25\/(-40)))\/(196\/(-8820)*(-12)\/10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 9, -1\/6 in increasing order.\nAnswer: -15, -1\/6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 513 - 498. Suppose 3*m - 1 - 9 = x, -x - 18 = -5*m. Suppose -61 = -5*h - m*w + 69, -4*h = -w - 104. What is the remainder when h is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0)\/(5 + -4). Suppose -t - g*t = -96. Suppose 2*r + 45 = 141. What is the greatest common divisor of t and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41019 by -5.\nAnswer: 41019\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 + 1.3. Sort a, 15, 0.3.\nAnswer: a, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -2.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**(1\/17)\/(f\/(f**(-3\/8)\/f)*f\/(f**(-1\/8)*f)))\/(f**(2\/13)\/f*f*f**(-2\/5)*f*f\/f**(-1\/4)*f*((f**0\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-7711\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2618277*m**6 + m**4 - 44*m**2 - 29916*m.\nAnswer: -314193240*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 - (-7)\/((-49)\/(-35)). Which is the closest to 2? (a) -1\/6 (b) -5 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6282532 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 15*o**3 + 1737*o**2 + 11193*o - 29406 = 0. Calculate o.\nAnswer: -13, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d18 + -17b17?\nAnswer: -18a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 315*x**2 - 1938*x**2 - 115 + 115 to w + s*x**2 + u*x and give s.\nAnswer: -1623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 at least -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 178, 692, 1540, 2722, 4238?\n\"Answer: 167*g**2 + 13*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 5*g**2 - 6*g - 5. List the prime factors of v(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2 + 2124*k - 7*k**2 - 2124*k + 3*k**4. Find the second derivative of y(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524588 and 139946?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -10. Suppose -3*j = -5*p - 4*j + 40, p + j - x = 0. Differentiate 17 - 5*k - p*k - 3*k + 2*k with respect to k.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541727, -1083445, -1625163?\nAnswer: -2166881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) 2\/25 (c) -4 (d) -0.2 (e) 1\/7 (f) -1 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5164*a + 160*a - 194012 = -272*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29905 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 18*v**2 - 8*v + 46. Let q(d) = -4*d**3 - 33*d**2 - 15*d + 94. Determine -6*q(x) + 11*w(x).\nAnswer: -9*x**3 + 2*x - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*g + 8982 = 302*g. Suppose -8577 = -19*t + g. List the prime factors of t.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 356. Let f = m + -21. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**5)**16)**27)**(-2\/45) assuming u is positive.\nAnswer: u**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 63. Let m be w(13). Let i(c) be the third derivative of 0*c**4 + 1\/48*c**6 + 0*c**3 - 1\/60*c**5 + c**m + 0 + 0*c. Factor i(x).\nAnswer: x**2*(5*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171779589.6 rounded to the nearest 10000?\nAnswer: -171780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 14*b**2 - 6*b - 8. Let f be u(-14). Let c = -3 + 6. Suppose 0 = -c*w + f + 41. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, z: 7}. What is prob of sequence ozzo?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 1. Let t(x) be the first derivative of x**3\/3 + 7*x**2\/2 + 3*x - 9. Give 7*l(d) - 3*t(d).\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84591 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3267702 and 13041?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + 55. Let i be (0 + -2)*3*3. Let p = i - j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3858*v**5 - 53*v**4 + 1847655*v**2.\nAnswer: 231480*v**2 - 1272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:58 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.6736 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -4 (c) -0.295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 9*f = 0. Solve n + 5 - 6 = f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2821974 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2. Let w(g) = -46*g**2 + 14619*g - 14619*g. Determine y(w(h)).\nAnswer: 12696*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 3*g)*(7 + 3 - 5).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -16 - (-8 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 663 + -669. Let t(k) = -k**2 - k + 15. Determine t(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 20\/21*a**3 + 0*a + 1\/105*a**5 + 0 + 1\/6*a**4 - 45*a**2. Solve g(k) = 0 for k.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5121 - -4.6139. Let t = z + -0.126. What is the nearest to -2\/5 in t, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -51, -0.5, -3\/10, -1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 98 = -1335. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235207886 to the power of 1\/2, to the nearest integer?\nAnswer: 15336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-c - 2*c**3 + c) + 4*c**3 + c - c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 18*n**2 - 76*n + 52. Determine i(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67035156631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + s)*(-2 - 2118*s + 2096*s + 1).\nAnswer: 22*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/2 - 46*y**4 + 179*y**3 - 266*y**2 + 353*y\/2 - 44.\nAnswer: (y - 88)*(y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2444*k + 4 = 2457*k, -k + 5 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 8 = -j - 4*k, 61*k + 10 = -3*j + 63*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11610 - -11885. What is the smallest common multiple of b and 110?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152988800 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(9*q + 8*q - 7*q)*(-5*q**2 + q**2 - q**2) as s + x*q**2 + y*q**3 + w*q and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**4\/4 - 6*i**3 + 45*i**2\/2 - 24*i + 33\/4 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118700, -118702, -118704, -118706, -118708, -118710?\n\"Answer: -2*s - 118698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -30\/23?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*v - 13, 2*w + 5*v = -0 + 1. Suppose 0 = -w*y, 0*q + 3*y - 10 = -q. What is the lowest common multiple of q and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274.939 * -56\nAnswer: 15396.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2*z**2 + 8*z - 5. Calculate the smallest common multiple of 2 and o(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*i - 73 = 0, 79 = -3*w - i + 308. Suppose -9*t + w = -2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21.957219 months?\nAnswer: 0.00182976825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 913 and 979?\nAnswer: 81257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -357f9f?\nAnswer: 357fa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42280 by 2114.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 246, 489, 732?\n\"Answer: 243*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40769050?\nAnswer: 2, 5, 7, 116483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + -1 + 0. Let f = -1.8 - -2. Put f, 0.3, q in descending order.\nAnswer: 0.3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316*i**4 - 8208*i**3 + 208*i**2.\nAnswer: -4*i**2*(i + 26)*(79*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*i - 225, f - 45 + 0 = 3*i. Let g = f + -29. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(8*(-8)\/(-727616)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 + 363. Put f, -7\/5, 3 in increasing order.\nAnswer: f, -7\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let m be y(3). Let g(z) = -2*z**2 + z - 2. Let a be g(m). Is 12\/a*(-2776)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098874504 rounded to 3 dps?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f - 1. Let h be i(0). Let b(m) = 9*m**2 - 3*m - 3. Let l be b(h). Solve -w - l = -t - 4*w, 5*t - 3*w - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 12. Let k be m(-14). Let f be 15\/84*16\/k. Let s = -1\/14 - f. Sort s, -0.4, 3 in decreasing order.\nAnswer: 3, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z**2 + 1)*(206 + 259*z - 206).\nAnswer: 518*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 463616*x**2 + 7*x - 31*x + 463610*x**2 - 4 - 927223*x**2 in the form m*x**2 + c + p*x and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:32 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*s + 5*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02072743 to four decimal places.\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 7. Let s(z) = -z**2 + z. Let a(d) = 6*d**2 - 5*d - 1. Let k(b) = x*a(b) - 11*s(b). Calculate k(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 2, z: 1, m: 1, d: 1}. What is prob of picking 1 m and 2 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 7*d)*(-19 - 6 + 4)*(d**2 - 2*d**2 + 0*d**2) to z*d**2 + y + x*d**3 + a*d and give x.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose 0 = 2*y + 4*d - 14, -d = -u*y + 4 - 0. Let p(a) = -171*a**3 + 3*a**2 - 4*a + 2. Let v be p(y). Round v to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmmjmjj. Give prob of sequence jjj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = -77 - 282 + 7 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000011 - -100?\nAnswer: 10100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (62 - 35 - 17) + 11 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - v + 3. Let a be l(0). Let m(p) = -p - 5. Let r be m(-5). Differentiate 3 - a*u + r - 4*u + 4*u with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2, r: 1, t: 3, s: 4}. What is prob of picking 1 n, 1 t, and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1\/11 (c) 0 (d) 0.1555 (e) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6)*2\/3. Let d = -2.38 - -0.38. Let s = -14 + 100\/7. Which is the nearest to s? (a) w (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:53 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2 + 36*d\/5 + 18\/5 = 0.\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2 + -4)**2 + ((sqrt(3) + -2)*2)**2 - 2*(-1 + (3*(sqrt(3) + -1))**2).\nAnswer: -35 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1015, -1179, -1343, -1507?\n\"Answer: -164*p - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = p. Let w be (-2 - 0) + 6\/p. Solve w*a + 0*a = 4*m + 16, m + 2 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 4, 1\/6, 77.98 in increasing order.\nAnswer: 0, 1\/6, 0.2, 4, 77.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 970\/(-1164) - 652\/24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -11*j**8\/24 - 127*j**5\/60 + j**3\/3 - 423*j**2. Find the third derivative of t(a) wrt a.\nAnswer: -9240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucru. Give prob of sequence ur.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1.505842115907?\nAnswer: 0.505842115907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419524556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -2\/3, -2, 4.2, -2\/11 in decreasing order.\nAnswer: 4.2, 0, -0.1, -2\/11, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(-2))\/(((-5625)\/(-50))\/75)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 10 + 44. Suppose -128*i = -131*i + j. Solve 0*b + i*t + 16 = b, 0 = -4*b + 3*t + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147056 divided by 4?\nAnswer: 36764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -4*a - u, -4*u = 5*a + 22. Let p(r) = -r**2 - 6*r + 7. Let d be p(-6). Let y = a + d. Solve 4*f = -2*i + 4, 12 + 6 = -y*i + 4*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30750127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 16*z + f + 4*f = 230, 15*z + 2*f - 126 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - 6231*g**2 - 1746*g**2 - 4792*g**2 + 137 as v*g + t + m*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 62 = 5*n, -3*n - 34 = -285*a + 287*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109327?\nAnswer: 3, 11, 41, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507909.33 minutes to days.\nAnswer: 352.7148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4 + 4 + (5 - 3 - 3)*(-3*l - 19*l + 9*l))*((2 + 2 - 5)*(0 + 10 - 2) + 5 - 6 - 2).\nAnswer: -132*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:42 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 217*(-12)\/(-14)*(-2)\/(-18)*3. Suppose -4*d + t = 4*t - 2743, 2*d + 5*t = 1389. Calculate the greatest common divisor of l and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3824 - -3829. Let p = 0.083 - 9.883. Which is the third biggest value? (a) q (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 5. Let z(y) = 4*y - 6. Let o(d) = 5*q(d) - 4*z(d). Let s be o(-2). Let v(r) = 3*r**3 + 2*r**2 - 2*r + 1. Give v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 9, -181, -551, -1161, -2071?\n\"Answer: -10*p**3 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.45667 to 2 decimal places.\nAnswer: 4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.7686mm in centimeters?\nAnswer: 57.87686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 2. Let p(d) = 2*d - 2. Calculate 3*g(b) - 2*p(b).\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose 0 + 25 = q*k. Suppose k*y - 3 = 4*u - 1, -u + 6 = 2*y. Solve -z + 2 = -y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6518674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1220 divide 44484877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mia when three letters picked without replacement from mymgmmmmgimygayvvgym?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1, 2*s = 5*s + 5*o - 17. Suppose -s*t = -2*a + 2, -1 = -a + t + 2. Find the third derivative of c**a + 2*c**5 + 3*c**5 + 10*c**2 - 3*c**5 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/4 - 0. Let l = -1683.9 - -1684. Sort f, 0.2, -5, l in decreasing order.\nAnswer: f, 0.2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 12:44 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -6*r - 9. Calculate the greatest common divisor of 54 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-32)*c**(12\/11))**(6\/31) assuming c is positive.\nAnswer: c**(-2040\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 675544*s**2 - 1351096*s = 0.\nAnswer: -337774, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -275*k**4 + 1337315*k**3 + 10762905*k**2 + 9766285*k + 340970 = 0.\nAnswer: -7, -1, -2\/55, 4871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 2*f**2 + 6*f**2 + 2*f - 3 as m*f**2 + s*f + p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20838191 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -154\/10379697 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -74. Let q(f) be the first derivative of -h*f**3 - 2\/15*f**5 + 1 - 4\/3*f + 7\/3*f**2 + 5\/6*f**4. Factor q(o).\nAnswer: -2*(o - 2)*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 9 (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32281.4932 + 32285. What is m rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2193 - 2193.2. Put g, -2, 1, 2, -0.66 in ascending order.\nAnswer: -2, -0.66, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88179, 176360, 264541, 352722, 440903, 529084?\nAnswer: 617265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -57, -27, 49, 177, 363, 613, 933?\n\"Answer: z**3 + 14*z**2 - 59*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 310352*g\/3 + 44881893\/2.\nAnswer: (g + 217)*(g + 620487)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*p**2 + 7*p**2 - 2*p**3 + 6*p + 93*p**2 + 8*p**2 - p**3.\nAnswer: -3*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -2329.1.\nAnswer: 2321.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94.4 * -150.\nAnswer: 14160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 at least 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 1400?\nAnswer: 1400.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6590 + 7274. What is the lowest common multiple of 418 and z?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12240 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 585\/4. What is the second smallest value in f, -0.08, -3\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/640 and 127\/6.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -19. Let i be (-4)\/(c\/(-9) + 0). Suppose 0 = -0*v - 2*v + i. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/15360 and -27\/3200.\nAnswer: 76800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 6 + 5*r**3 + 8*r**2 + r**3 - 7*r**3. Determine d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 8*v + 3. Let c(n) = n**2 - 28*n + 175. Let b be c(9). Let g(f) = 2*f**3 + 9*f - 2. Give b*h(y) + 5*g(y).\nAnswer: -2*y**3 + 13*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18 and 11\/345?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - y**2 - 9*y - 2*y**2 + 2*y + y**4 + y**2 to the form x*y**4 + t*y**2 + o*y + s*y**3 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*z - 823 + 823.\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -1.03, 11\/5, -36, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**23\/b*b)\/(b*b*b*b**16*b))\/(b**(-10\/11)*b**(-6)*b) assuming b is positive.\nAnswer: b**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from fufoot?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 30*r + 113. Let p be q(-5). Solve -6*l + p = 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4459\/11160 - -1\/2232. Let s be (8\/28)\/(3 + 48\/(-21)). Factor -2\/5*v + 2\/5*v**4 - d*v**2 + s*v**3 + 0.\nAnswer: 2*v*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4774 is divided by 184.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2220697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 16. Let d be b(12). Let y be 2\/d + (23\/2)\/1. Solve 0 = -o - 2*o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m**2 + m)*(-3*m - m**2 + 3*m) - 4 - m**4 + 4 - 300*m**3 + 300*m**3 + 31*m**4 + 6*m**4 - m**2 - m**4 - 2*m + 6*m**4.\nAnswer: 40*m**4 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 4:29 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -56. Suppose 0 = -k*o + 7 + 18. Is 5 a factor of (5\/3)\/(92\/18 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 43. Calculate the remainder when i(-28) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.8. Let m be ((-2)\/(-4) - 0)*0. Let a(z) = z**3 - 4*z**2 - 5*z + 19. Let t be a(4). What is the closest to x in 0.3, m, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 262*t + 1357. Calculate w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 5496507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7238 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11110100?\nAnswer: 11110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-375)\/(-60))\/((-1)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11689 divided by -143266?\nAnswer: -11689\/143266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + 2*y - 5. Let n be d(-4). Solve 0 = 2*p + 4*g - 5*g - 10, 8 = n*p + 2*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1370 = -57*s + 62*s, 2*v = 3*s + 546. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and -1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-2)\/(sqrt(24)\/sqrt(2)*2).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67, 120, 173, 226, 279, 332?\n\"Answer: 53*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16416 and 259065?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = -3*n, -14 = -3*n - 0*s - 2*s. Let o be (-3)\/(-1) + n\/4. Solve 8 = o*r + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15 + (-4)\/10. Suppose -y - 3 = g, 153 = 6*p - 2*p + 5*y. Let q = -199 - -220. What is the greatest common divisor of q and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/6)\/(1\/(-11)). Suppose -y*z - 11116735 + 2316735 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/13746200 and 37\/232.\nAnswer: 398639800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*h = 1 - 43, -4*h = -a. Let u be a*11 - (0 + -2). Let p = 3868 + -3808. What is the highest common divisor of p and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**3 + 2 - 1 - c**3. Let m(r) = 2*r - 2*r - 3*r. Give m(d(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32842550?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*c + 417*c - 352 = -158*x, 3*x - 2*c = -100 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (16 - 6) + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -2.33, 1.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 - 935\/4. Let m(t) = 5*t - 2. Let g be m(-2). Calculate the common denominator of ((-63)\/g)\/((-30)\/52) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**4 + 25*i**3 - 25*i**3 + (-3 + 3 - i)*(-3*i**2 + 3*i**2 + 2*i**3) - 57*i + 57*i + 32*i**4)*(-1 + 0 - 1)*(i - 5*i + 3*i).\nAnswer: 76*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2349 - 0.2449. What is the second biggest value in 3\/4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*s + 80 = 7*j, 3*s = j - 18. Suppose -j*z + 14*z = -21. Calculate the lowest common multiple of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10388\/5 + 2085. What is the common denominator of w and -157\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5865202 by 2932601.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 - g**3\/2 + 71*g**2\/2 + 587*g. Suppose 2*c - 6*c = 0. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v**2 - 60*v + 565. Calculate q(6).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let g(l) = 2*l - 3. Suppose -5 = v - 8. Let r(o) = v*g(o) + 2*w(o). Let p = 1 - 5. Let q(x) = 4*x - 2. What is p*q(u) + 9*r(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3*p + m**3 + 5*m**2*p**2 - 305*m**2 + 70032*m*p + 582 wrt p?\nAnswer: m**3 + 10*m**2*p + 70032*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.02874, -3, -10?\nAnswer: 0.02874","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1016038, 1016063, 1016088, 1016113, 1016138, 1016163?\n\"Answer: 25*m + 1016013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2027, 4067, 6115, 8177, 10259, 12367, 14507, 16685?\n\"Answer: j**3 - 2*j**2 + 2039*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8048\/5 - 1609. Which is the third biggest value? (a) 2.15 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - 1\/(21\/6) and 59*((-54)\/(-42))\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + o**2 + (0*o + 4*o - 6*o)*(-o - 4*o + 0*o) + 3*o**2 - 2*o**2 - 3*o**2)*(o**3 - 3*o**3 + 3*o**3).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11389, 1, -4.\nAnswer: -11389, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ray when three letters picked without replacement from {a: 1, g: 2, n: 2, y: 1, r: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276277.\nAnswer: 691, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -194. Solve 0 = -3*s + w*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -5. Suppose j = 6*a - 2*a. Suppose 4 = 2*t - a. Is t > 12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1503, 6021, 13555, 24105, 37671, 54253, 73851?\n\"Answer: 1508*y**2 - 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 1\/6 (c) -0.4 (d) 0.6282 (e) 0 (f) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 434 + -101. Let t = -329 + i. Solve -2*g = 2*j + 6 - 0, -t*g = -5*j + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -103.9. Let c = 11 + i. What is the biggest value in -5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7602 = -497*m + 7308 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 + 152245?\nAnswer: 152342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 2. Let g(v) = -6*v**2 + v**2 + 4*v - 3*v**t - 5 + v**3 + 4*v**2. Does 11 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 3. Suppose -3 + 1 = o - j, -3*j = 2*o + 24. Let w = o - -4. Let h be (w\/3)\/((-6)\/27). Determine n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3201203554.\nAnswer: 2, 71, 3677, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721246 is divided by 372121.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzjzqzjqzzzzzzzlj. What is prob of sequence qjl?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47191 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcccccccd. Give prob of sequence dcc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osczz. What is prob of picking 2 s and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**4 + 0*g**3 + 0*g**3 + (g + 3*g + 2*g**3 - 2*g)*(-4*g - 22 + 22) + 138*g + 10*g**4 - 138*g.\nAnswer: 9*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89247.61mg in micrograms?\nAnswer: 89247610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.73709ml to litres.\nAnswer: 0.09373709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-16)\/(32\/3)). Which is greater: 9235 or z?\nAnswer: 9235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65869 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3387.24 and 1467248.96?\nAnswer: 1463861.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129 - 246 + 5*p**2 + 2042 + 165*p + 1213 + 85*p.\nAnswer: 5*(p + 18)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-51))\/(2\/6*(-1)\/1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 1 + sqrt(45) + -1)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -265, -425, -607, -811, -1037?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*s**2 - 23*s - 5231 - 17*s + 32*s + 49*s**2 wrt s.\nAnswer: 8*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 105 = -9. Suppose 0 = 4*d + 3*o - 79, -2*o = d - 2*d + 6. What is the highest common divisor of s and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(320) - sqrt(320) - sqrt(320)) + sqrt(320))\/(-5*sqrt(40) - sqrt(90)*-1).\nAnswer: 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = 0. Let b = 3 + k. Let r(t) = -162*t - 2432. Let n be r(-15). Sort b, n, 1, -3 in decreasing order.\nAnswer: b, 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + (2 - -15) - 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/9528 and 97\/4?\nAnswer: 9528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 29. Let t be z(-11). Solve 3*a = 3*j - 24, 0*j + t = -3*a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 2*l**3 + 0*l**3)*(2*l**2 + 0*l + 0*l) - l**4 - 23 + 2*l**5 - 289 + 0*l**5.\nAnswer: -2*l**5 - l**4 - 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 3*h + 1. Let c be i(4). Suppose j = w + c - 7, -j = 4*w - 41. Suppose -4*l + 24 = 2*v, -3*v + l + j = -19. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1177)\/198 - -6)\/((-1)\/(-6)). Let r = -6 - -6.4. What is the nearest to 0 in i, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (1 - 1). Let u = -20.2 - -20.111. Let y = u - -0.089. Which is the nearest to -0.2? (a) y (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 3 + 3 - 3 + 7*o**3.\nAnswer: 6*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 - 100?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 99 = -3*l - 6*a, -4*a = -5*l + 148. Suppose 4*p + 10 = 3*r + 8*p, -4*p = -4*r + l. What is the highest common divisor of r and 540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 4*k**3 + k**4 + (-4*k**2 - 2*k**2 + 4*k**2)*(2*k**2 + 0*k**2 - k**2) + 6*k**4 - 3*k**4 + 6*k**4 - k**4 + 3*k**4 - 3*k**4.\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21819169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(4*4*sqrt(5) + -1))**2 + 1 + 4.\nAnswer: -800*sqrt(5) + 32034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-3416)\/189 + 9 + 7). Sort 15, 0.2, y, 3 in descending order.\nAnswer: 15, 3, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = 7*h. Let c be 2\/3 + 10\/3. What is the first derivative of 4*g - c - 6*g + h*g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 959, 1198, 1427, 1640, 1831?\n\"Answer: -n**3 + n**2 + 243*n + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-21)*-3)\/(8\/(-56)). Suppose -p - 88 = -2*p - 5*b, -3*p = l*b - 316. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 15 - 13) + (1 - (2 + -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2094048 and -83\/88?\nAnswer: 2094048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + 3*o**3 - 6*o**2. Let i be g(-13). Suppose 2*a - 1343 = -3*f, -2014 = a - 4*a - i*f. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q - 4. Let m(v) be the third derivative of 35*v**4\/24 - 5*v**3\/2 - 4*v**2. Let f = -110 + 95. Determine f*w(i) + 4*m(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 2*2*(5 + (sqrt(110)\/sqrt(2))\/sqrt(5) - (4 + (1*sqrt(44))**2))).\nAnswer: -354 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 519*m**3 + 2139*m**2 - 2655*m.\nAnswer: -3*m*(m - 177)*(m - 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 58*a**2 + 62*a + 7373. Give b(61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 189 + 1077. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0061221 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4846122 kilograms?\nAnswer: 484612.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/57)\/((-2)\/(-6)). Suppose -35 = -4*d - d. Let r(w) = 5*w**2 - w + w**3 - 3*w**3 - 7*w**3 - d*w**2. Determine r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -1)\/(8\/40). Let l(d) = -d**3 - 4*d**2 + 6*d + 4. Let i be l(-5). Let w be (6\/2 + i)*3. Calculate the highest common factor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - q. Let a be b(0). Solve -3*j - 13 = 2*c + 2*j, -3*j - 9 = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, r: 2, x: 1, o: 2}. What is prob of picking 1 o and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 2014578 = -5044147. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 17. Suppose 2*l - 1 - 15 = a. Solve -v - l = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5328 by -9.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861882.\nAnswer: 2, 3, 7, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let q(w) = 56*w. Suppose -506 = -3*l - 2*y, -3*l + 499 = -0*l - 5*y. Let i(k) = -k. Let d(v) = l*i(v) + 2*q(v). Give o(d(m)).\nAnswer: 3136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -11712.\nAnswer: -11712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyggzln. Give prob of sequence yn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -5, -2, 26 in ascending order.\nAnswer: -5, -4, -2, -1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2028, 2019, 2010, 2001?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - 2\/(-5). Let s(f) = -f**2 + 6*f + 2. Let l be s(5). Let r be 36\/(-77) + 2\/l. Which is the second biggest value? (a) r (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1127, -4475, -10059, -17885, -27959, -40287, -54875, -71729?\n\"Answer: -a**3 - 1112*a**2 - 5*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9))**(-16\/11))**(-10\/3)\/(x*x*x\/((x\/(x*x\/(x**(6\/11)*x*x)))\/x)*x*x*x**3*x)**(43\/2) assuming x is positive.\nAnswer: x**(-108613\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1424 + -770. Let o = d - 334. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.63 + 0.63. Let m = -31.45 - u. Round m to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + w + 34 = 0, 0 = -3*p - 0*w - 4*w + 130. Let j = 57 - p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125200 divided by -31300?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-69 - 1 - (-53 + -8 + 75)) + -6.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*k = 192*k - 8, 2*v = 3*k + 7444. List the prime factors of v.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(1 - 1 + 1)*(821*v**5 + 424*v**5 - 594*v**5).\nAnswer: -1302*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9329207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 5030, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-6633)\/261 + 13. Sort -0.2, 1\/8, f in descending order.\nAnswer: 1\/8, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 3*q**3 - 7 - 2*q**3 + 6*q**3 to a*q + g*q**3 + i + h*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/470*-7*(-1140)\/168.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -3 (c) 1\/7 (d) -9.7 (e) 2\/171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcffccfcc. What is prob of picking 2 f and 1 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8932, -8792, -8652, -8512, -8372?\nAnswer: -8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 27*c**3 + 16*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -53, -98, -159, -236, -329, -438?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/2 - 575*m**3\/6 - 2524*m**2\/3 + 4810*m\/3 - 2000\/3 = 0. Calculate m.\nAnswer: -10, 2\/3, 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -12. Let j be (-9)\/l - (22 + -17). Solve 2*g + 2 = 0, j*t + 3*g = 6*g + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*x + 1558 + 1967. Solve -x*c = 59 + 46 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 - -3) + 0\/1. Let s = -8 + l. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 134220?\nAnswer: 134202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide ((-3)\/(-12))\/(1\/1172)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29052 and 2152?\nAnswer: 58104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3675 and 8925.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 136\/10. Let a be 4\/w - (-130)\/35. Suppose -g - 3*g = -a, 5*g = 2*y + 15205. What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -16*k + 0*k**3 + 0 - 29\/15*k**6 + 0*k**4 + 0*k**5 - 23\/2*k**2. Differentiate r(v) wrt v.\nAnswer: -232*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.859 + -16.141. Which is the nearest to 1\/2? (a) 15 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 163, 290, 417, 544, 671?\n\"Answer: 127*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-6219)\/2076)\/(6\/(-24)). Let s = c - 719\/1557. Let q = -1 - -5. What is the third biggest value in q, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -79*j - 3. Let c(l) = 7*l - 16047. Determine c(s(p)).\nAnswer: -553*p - 16068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(27)\/(sqrt(18)\/sqrt(2)) + sqrt(3) - (-1*sqrt(36))\/sqrt(12))*6 - (-5 + (sqrt(33) - (-1*sqrt(198))\/sqrt(6))\/(sqrt(11) - sqrt(132)\/sqrt(3))).\nAnswer: 1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.83 + -56. Let k = -11\/15 - -4\/3. Which is the biggest value? (a) -1 (b) -3 (c) m (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s + 10 + 1 - 30*s + 5*s**2 + 19.\nAnswer: 5*(s - 3)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163177 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426387*z**4 - 18763290*z**3 + 206470839*z**2 - 1094940*z + 1452 = 0. What is z?\nAnswer: 1\/377, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 20*w + 22. Give u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52689 and 234.\nAnswer: 316134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6801096ml?\nAnswer: 0.0006801096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007706 to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3546, -450, 2, -4, 20 in decreasing order.\nAnswer: 20, 2, -4, -450, -3546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 391. Suppose 101 = 3*d - 3*o - 286, v = 3*d - 5*o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 600*t + 17. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454232?\nAnswer: 2, 3, 13, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 8*p. Let n be i(8). Let d = -1 + 1. Let u = -0.1 - d. Is n smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000155546117 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffufufuuffffuffffuf. Give prob of sequence uf.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:00 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 58, 92, 124, 148, 158?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-4)\/(-6). Let m = 3.9 + -3.8. Let i = -13.5 + 13. Which is the nearest to m? (a) i (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212430341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 379*r**3\/3 - 5*r**2 - 9*r + 21. Is 8 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**3 - 6*y**3 - 4*y**3 - 275*y**2 - y**3 in the form c + s*y**2 + g*y + q*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 119, 122, 125, 128, 131?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 261806.2 and -10?\nAnswer: 261816.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -4, -6, -1\/9, 0.3, 19, 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 69813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 16*a + 61. Suppose 2*k - 84 = -3*u - 15, 30 = 2*u - 4*k. What is the tens digit of c(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - n. Let g(h) be the third derivative of 0 + 1\/8*h**4 - h**2 - 1\/20*h**5 + 0*h + n*h**3. What is the second derivative of g(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 2928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 25*j - 9*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:09 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = c - 2*c + 2, g = 4*c + 13. Let n be (36\/(-48))\/(6\/c). What is the second biggest value in 1, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21007311 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(196) - -1*1*sqrt(196) - (sqrt(196) + sqrt(196) + sqrt(196) + 6*-2*sqrt(196)))\/(sqrt(21)\/(sqrt(3)*2)*-3*3))**2.\nAnswer: 13552\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 136\/5 - 17\/((-170)\/8). Suppose 0 = -r + 2*n + 26790, 30*r - n - 53595 = f*r. What is r rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427308 is divided by 229?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 445, 420, 397, 376, 357?\n\"Answer: h**2 - 28*h + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 27 + 243 = 0. Solve -z = -36*x + 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 32. Let r be u(-7). Let k be r\/18 - (-1266)\/15093. Let n = k - 2\/129. Which is the third smallest value? (a) -0.5 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -24531*c + 14080803. Determine d(574).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.11 - 2.18. Let j = -0.07 - x. Is -2\/87 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 50. Suppose -w = 3*m - 112. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k**2 - 3*k + 8. Let w(u) = 18*u**2 + 2*u - 8. Let n(a) = 5*c(a) + 6*w(a). What are the prime factors of n(-4)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - -0.6. Let t be (4*6\/20)\/(-1 + 4). Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -5, 66 in decreasing order.\nAnswer: 66, 16, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 + 6*v - 167. What is m(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 9 - 9)*(2 + 1 - 2)*((-1 - 1 + 0)*(3*g + 8*g - 3*g) + (-4 + 0 + 2)*(-g + 6 - 6)).\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18670?\nAnswer: 2, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**(-3\/13))\/(l**7\/l)*(l\/l**(1\/3))**(-2\/33) assuming l is positive.\nAnswer: l**(-3616\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let y(g) = 4*g**2 - 28*g. Let k(v) = 4*j(v) - y(v). Find o such that k(o) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i**2 - 285*i + 289. Determine a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144198 is divided by 700.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146 and 32?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3941317\/526 - 7493. Calculate the common denominator of 59\/6 and b.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3675642526?\nAnswer: 2, 29, 63373147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqqqqjqjjqqjjj. What is prob of picking 1 q and 1 j?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(5 - 3 - 3) - 29*u + 4286 - 4286 + (u - u - u)*(3 - 6 + 2) + 2 - 2 + u - 2*u + 3*u + u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1529 (b) -1 (c) 5\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 681 = 5*v, 5*c - 3*v + 2*v = 1091. Is c not equal to 1958\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -362175335 at least as big as -362175335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/174 and -91\/957638.\nAnswer: 2872914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/7))**44)**(-33) assuming f is positive.\nAnswer: f**(-5808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4255 - -4544. Is t less than 289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38579 + -11694. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/16)*(m*m**(-3\/4)*m*m)\/m*m)**(-17))**18 assuming m is positive.\nAnswer: m**(-8109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 1135\/7. Let n = h + -25\/21. Sort 0.5, 0, n.\nAnswer: n, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*s = -2*i + 21, -i = -2*s - 9. Let x(t) = 48*t + 1. Calculate x(i).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 3*o + 11. Let q be r(-5). What is the greatest common factor of 190 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 + 2*w + 3. Let n be k(-1). Let a(x) = -2*x + 3. Calculate a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24112037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -6*b - 31. Let f = b + 19. What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = g - 14, 6*g = 3*g + 4*k - 22. Sort g, 5, 18.\nAnswer: g, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.44 - -2.43712. Round b to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122101 (base 4) in base 11?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -661*f + 658*f - 149*f**3 + f**2 - 17 + 148*f**3 in the form q*f + n*f**3 + o + w*f**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 614519 (base 12) in base 4?\nAnswer: 11303123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/7, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41386 + 41389 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185430918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*((39247\/65)\/(8\/(-10)))\/(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(18\/(-3))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from vwmvvpvmcwtvvmpmt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 5*k - 3. Let s be d(-5). Let z be 6\/(-18)*36\/(-3). Which is the closest to z? (a) s (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 811, 765, 719?\n\"Answer: -46*j + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132563 is divided by 84?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1319? (a) 0.47 (b) 2\/13 (c) -8 (d) 2 (e) -0.4 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 - 0.1?\nAnswer: -784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 2*r**4 - 3*r**2 + 3*r - 12*r**3 + 0*r**3 + 5 + 10*r**3 to the form p*r**2 + i*r**3 + c*r**4 + z*r + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 910890535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*d - 320 = 169*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(252) - -1*(sqrt(252) - (sqrt(252) + sqrt(252)*2)) - (sqrt(21)\/sqrt(3) + -1 + -4*sqrt(7)*-2))*3.\nAnswer: -45*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4240470.69747 - 4240488. Let s = -17.3 - a. What is s rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 14 + 9 - -6 - 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153480 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:45 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 117*p - 6138. Let k be s(55). Solve 0 = k*d - 287*d - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4769*d**5 - 51*d**4*k - 3*d**2*k + 6*d**2 - 25*d - 3326 wrt d.\nAnswer: 286140*d**2 - 1224*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209677595039 plus 0.2?\nAnswer: 209677595039.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43712499 to the power of 1\/2, to the nearest integer?\nAnswer: 6612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -363, -341, -281, -165, 25?\n\"Answer: 3*l**3 + l**2 - 2*l - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:06 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6))**(-17)*(i\/((i**(1\/14)*i)\/i*i))**(-2\/119) assuming i is positive.\nAnswer: i**(-14155\/4998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -5, 1, 2.22?\nAnswer: 2.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150806 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1233*-277.\nAnswer: 341541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 576 + -574. Let d be o + 16 + -9 + 6. What is the greatest common divisor of d and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 117591*v - 14110906. Calculate m(120).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 - -216. Let u = -1 - -1. Let t = -8 - -5. Which is the nearest to d? (a) u (b) t (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482112 (base 10) to base 8\nAnswer: 1655500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - -1710. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {e: 1, v: 1, u: 1, s: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 3*r**2 - 4*r**2 + (8*r + 7*r - 16*r - 47*r**2)*(-1 + 0 - 7).\nAnswer: 375*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y - 5*x + 325, -9611 = -4*y + 3*x - 9496 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 3*i - 79 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*i = 32 + 23, -2 = 2*i. Let q = -49 - p. Solve 5*o - h = -1, -o = -6*o + 2*h + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 91\/3 and 3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 7*b + 8. Let p be y(-6). What is the units digit of p\/2 - (-11 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 70*w. Does 5 divide s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (sqrt(1300)*-2 - sqrt(1300)) + (sqrt(1300) + sqrt(1300) + -2 + sqrt(1300) - sqrt(1300))*-2)*1)**2*-5.\nAnswer: -318680 + 4200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 14*z - 514. Give t(31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/16))\/(y**(-6)*y))\/(y**6\/(y**(-3\/5)*y)) assuming y is positive.\nAnswer: y**(37\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -9*a + 4*a. Let k be (-7)\/(-2)*(12 + a). Let y(o) = -5 + 14 + o**2 - k - 4*o - 10. What is y(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313\/134 + 56\/67. Which is the nearest to 27? (a) 9 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213310232 - -1231?\nAnswer: 1213312123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.8 (b) -5 (c) -1 (d) 1 (e) 0.0929 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.281? (a) 11 (b) 0.5 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0455 + -80.8545. Let s = z - -69. Let p = -12 - s. Sort 0.1, 2\/5, p.\nAnswer: p, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 17*k - 73*k = -315 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, 16.36832?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.2. Let g(v) = -v + 4. Let f be g(6). Let c be 4\/(-20) - f\/(-40). Is c at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 1. Let j(l) = -3*l - 3*l**2 - 2 - 18*l**3 + 2*l**2 + 19*l**3 - l. What is -j(g) + 2*m(g)?\nAnswer: -g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmjmmmmmmm. Give prob of sequence jm.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4161041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from jukkfikfikuuikx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 - 1. Let p(q) = -20*q**3 + 16*q**2 - 16. Let g = -87 - -88. Calculate g*p(m) - 16*z(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1285*n**3\/3 + 47*n**2\/2 + 26*n - 4580. What is the second derivative of p(b) wrt b?\nAnswer: -2570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 5. Let b(s) be the third derivative of -1\/24*s**4 - 7\/6*s**3 + 0*s - 3 - 17*s**2. Calculate b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -11111101111000011?\nAnswer: -11111101110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3092608 or -94?\nAnswer: 3092608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/((-325)\/(-520))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*(sqrt(891)*2 - sqrt(891)) - (sqrt(891) + -4 + 2*sqrt(891)))**2 - ((4 + -2 + sqrt(891))**2 + -3 + 3)).\nAnswer: 1080*sqrt(11) + 42840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i + 1. Let h(b) = 5*b**3 + 7*b**2 + 5*b + 2. Let j(u) = h(u) - 4*s(u). Give j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t - 51 + 51. Which is smaller: t or 4\/1813?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65906*28\nAnswer: -1845368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -597, -5890, -20493, -49062, -96253, -166722, -265125, -396118?\n\"Answer: -776*j**3 + j**2 + 136*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - 6) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 + i - 24. Give s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-1)\/(-15)). Let n be (-1)\/(-6)*(-8)\/i. Let q = 0.1 + 0.2. Which is the second smallest value? (a) -2 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 200*b - 6020. Determine v(-38).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 35*s - 36*s. Calculate the lowest common multiple of s and 23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 230*m - 32588. Determine r(329).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -2*j. Let g = -290 - -559. Suppose -j*b + g = 95. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*9\/(-6) + 24\/4. Suppose 0 = -2*v + 4*i + 114, -4*v + b*v - 325 = 2*i. Calculate the remainder when v is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 17*l - 16*l - 4*k, -2*l - 36 = 4*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558958 + -60929. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*p - 35 = 0, i - 4 = -3*p + 3. Let u(s) = 11*s - 2. Let a(d) = 5*d - 1. Give i*a(k) + 2*u(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x + 4 - 4 + 75*x - 21*x**3 + 8*x.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + (-13 - -36) + -18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k**2 + 403*k - 7*k**2 - 3*k**2 + 23*k**2 in the form o*k**2 + c + j*k and give j.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9050652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -c - 3*q - 6, 2*c - 4 = -3*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + -9b1b?\nAnswer: -9b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -139*z - 183. Let v be w(-6). Calculate the highest common divisor of 93 and v.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 9. Let j(y) = -y**3 - 16*y**2 + 15*y - 33. Let h be j(-17). Let l be h + 1 - (-4 - (73 + 1)). Calculate the highest common factor of l and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18821)\/(-17) - 7 - (-6)\/(-51) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-32) - 2) + -11 + 40\/(-32)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 44 = 3*h + 2*h - 120, -184 = -8*q - 2*h for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, -3, -4, 3, 2, 12 in ascending order.\nAnswer: -4, -3, 2, 3, 12, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -125 - 7. Let c = v - -42. Solve 1 = 2*t - c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2651223 to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204151.\nAnswer: 204151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 3*m, 0*k - 5*m = -2*k - 1. Calculate the smallest common multiple of k and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*g**4 + 4*b**2*g**3 - b**2*g**2 + 5*b**2 - 35*b*g**4 - 3*g**2 wrt g?\nAnswer: -48*b**2*g + 24*b**2 - 840*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265\/294 + -4\/147. What is the common denominator of i and 635\/(-50) + (-1)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-134\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275932 is divided by 3630.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Suppose -5*g - 25 = 0, k + g + m = 2*k. Solve 5*o - 5 = -4*t + 2, k = 5*o - 4*t - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 7*w + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12927020, 25854199, 38781392, 51708605, 64635844, 77563115, 90490424, 103417777?\nAnswer: 116345180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 + -36889.8947.\nAnswer: -36920.8947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294 - 235. Suppose -68 = -c*n + 25*n. Suppose 16 = 4*u - 3*u. Solve 5*b + u = 3*g, g + 3*b = n*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -556*t**3\/3 - 244*t**2 + 2161*t. Differentiate c(n) with respect to n.\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4 + 45*w**3 - 237*w**2 - 117*w + 1026 = 0.\nAnswer: -19, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/8 - 51*m**2 + 1095*m\/2 = 0. Calculate m.\nAnswer: -146, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q + 18. Let x(u) = 38*u + 34. Let z(s) = -5*m(s) + 2*x(s). Calculate z(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/4 + m**3\/6 + m**2\/2 + m. Suppose -68 = -3*a - 2*z, -a - z + 10 = -13. Suppose 27*p + a = -32. What is x(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -172. Let x = -736 + 757. What is the remainder when v is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28981, 28984, 28989, 28996?\nAnswer: 29005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -161*o + 265*o - 1456 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320004238596 - 320004238596 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3\/6 - 1109*v**2\/6 + 673*v\/3 + 892\/3 = 0. What is v?\nAnswer: -223, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plllllepylel. What is prob of picking 1 e and 1 l?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 4, 2, 3, 26 in decreasing order.\nAnswer: 26, 4, 3, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**5 - 6260*w**4 + 61320*w**3 + 979360*w**2 - 13193200*w + 34776000 = 0.\nAnswer: -14, 4, 10, 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 122, -5 in descending order.\nAnswer: 122, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (19 - (-35 + 57))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000021432931 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29452292 is divided by 8776?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 9 - l**2 - 12 - 3*l + 6*l. Let t be p(-3). Suppose t = 5*x - 2*x. Let j(n) = n**3 + n**2 - 2*n + 1. Calculate j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.2039 and -24?\nAnswer: 26.2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1078176783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 42*j + 180.\nAnswer: 2*(j - 15)*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 2) + (-28 - -30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + 3 + 10 + -21 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3 + 184*r - 372*r - 16*r**2 + 184*r. Let q(d) = -17*d**2 - 5*d - 4. Let o(v) = -5*k(v) + 4*q(v). Give o(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - (sqrt(88) - sqrt(88)*3)))\/sqrt(8) - sqrt(11)) + (sqrt(44) + -2)**2.\nAnswer: -11*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2144.\nAnswer: -3\/2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 82*n**2 - 2*n. Let u(l) = 2*l. Give u(g(k)).\nAnswer: 164*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129741975.\nAnswer: 5, 3623, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a020c6 + 0?\nAnswer: 1a020c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 12 = -2*o. Suppose 20 = -4*y, -3*y + 5*y + 72 = o*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27918\/(-1739) + 3*(-4)\/(-222)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 158)\/((-9)\/((-18)\/(-4))). Suppose 0 = -4*j + o + 1755. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(21)*-4)\/(sqrt(3) - -2*sqrt(108)).\nAnswer: -20*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799142 <= 12799138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s + 3*m - 24 = 0, s + m = 7. Suppose 5 = 4*k - s. Let n(g) = -5*g**3 + g. Let f be n(-1). Solve 2*o + 2*o + f = 4*c, 2*c = -2*o + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32989 is divided by 10993.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/9 - 872\/(-36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 19*l**2 + 56*l + 284. What is the remainder when u(-22) is divided by 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/180 - u**3\/6 - u**2. Let s(a) be the first derivative of l(a). Let i(t) = -260 + 260 - 6*t. Determine i(s(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + -263. Let c = -301 - z. Sort -134, c, -5.\nAnswer: -134, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*z - 145 = 0, -8*z = 5*x - 75318 + 75501 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436461 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149404 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 divided by -309048?\nAnswer: -409\/154524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9810 - 9808. Solve 8\/7*o**3 + 30\/7*o**d + 0 - 8\/7*o = 0.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:01 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 5. Let q(m) = -8 + 2 - 5 + 11 + m. What is q(y(r))?\nAnswer: r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 982 = 42. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 + 26 = -4*x, -5*r = 5*x + 25. Let b be ((-2)\/(-4))\/((-2)\/(-96)*6). Sort b, x, 0, -5 in increasing order.\nAnswer: -5, x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.8 + -13.2068. Let t = -0.6 + d. What is t rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 - 75*a**2 - 59 + 31 wrt a?\nAnswer: -150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(0 + sqrt(7) + sqrt(7)) - (sqrt(700) + sqrt(700) + -1))*-2 + 0.\nAnswer: -24*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3558, -7094, -10636, -14184, -17738, -21298, -24864?\nAnswer: -28436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1234\/9 or 2?\nAnswer: 1234\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(1 - -9)). Let q = -21216 - -21213. Put q, l, 2 in decreasing order.\nAnswer: 2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-817044\nAnswer: -817042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 42*g + 59. Give p(-40).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136, 182, 232, 286, 344, 406?\n\"Answer: 2*z**2 + 40*z + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 13 + 18*w)*(w - 4*w + 2*w) + w**2 + 2*w - 2*w - w**2 + 5*w + 4*w**2 + 15*w in the form u*w**2 + a*w + p and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10231643 take away 1100?\nAnswer: -10232743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149958 and 12852.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-12))\/((11\/(-55))\/(42\/35))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 times -124?\nAnswer: 8.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1420 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*n + 15, l + 3*n - 25 = 6*l. Let f = l - -5. Solve -3*a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9837, 9799, 9723, 9603, 9433, 9207?\n\"Answer: -w**3 - 13*w**2 + 8*w + 9843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1260 divided by 6\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(243)*2 - sqrt(243))*-3)\/((sqrt(864)*4)\/(sqrt(12)\/sqrt(2)*-1)).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**2 - 4 - 5*b - 1\/3*b**3. Let z(y) be the third derivative of -y**4\/6 - y**3\/3 + 3*y**2. What is z(f(u))?\nAnswer: 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 4)*(-36*q**2 + 37 + 8 - 37).\nAnswer: -324*q**2 + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wuiu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 0.86. Let p = n - 7.16. Let q = p + 6.8. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q + 80. Let x = q + 44. Which is smaller: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7181936 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20313110 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999878 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 - 321*r**2\/5 - 10488*r\/5 - 19044.\nAnswer: -3*(r + 15)*(r + 46)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(6\/13)*m)\/m*m**14)**(-17\/3))**(-47) assuming m is positive.\nAnswer: m**(150212\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10*8590\/(-456). Let s = 164\/19 + f. Find the common denominator of s and (182\/(-10))\/(8\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (21 - -2)) + -81 + 85 + -11\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -41, 1 in decreasing order.\nAnswer: 2, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-34)\/(-44))\/((-1)\/(-23423)). Let g = -6612 + -11492. Let l = g + c. Find the common denominator of l and -47\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 22*m**2 + 28*m - 23. Let j be g(25). Suppose 12*y = y + j. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 313115, -4\/5, 8?\nAnswer: 313115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31178097 to the power of 1\/2, to the nearest integer?\nAnswer: 5584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41985 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y - 2*y)*(4*y - 4*y + 2*y)*(2 + 1 + 0).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 498193 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984\/((2\/4)\/((-235)\/(-94))) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydyhyhhyykhyyhhkhyy. What is prob of sequence kh?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z = -31*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2827268573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 78*p - 4. Let o(c) = 78*c - 5. Let w(u) = 2*i(u) - 3*o(u). Let h be w(18). Let d = h + 2406. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*j - 14, i = -5*j + 1 - 18. Suppose i*c = 11*c. Sort 2, 4, c.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 414 - 205 - 210 - 42*c - c - c + 9*c + c + 4 - 4 + 0*c + 0*c + c + (-2*c + 1 - 1)*(-3 + 2 + 3) + c + 1 - 1 + (-4*c + 3*c + 0*c)*(1 - 6 + 3).\nAnswer: -34*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Let z = -5 - b. What is the nearest to 0.1 in 1\/4, -2, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxfrxxxxfxwxxxwwxf. What is prob of sequence xxww?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8220683 nanograms to micrograms.\nAnswer: 0.0008220683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 1 - y + 0*y. Let s(o) = -6*o - 3. Let v(q) = 6*f(q) - 2*s(q). Let j(g) = 3*g. Give v(j(t)).\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*b - 51. Let u be 104\/28 + (-2)\/b. Suppose -4*i - 1 = -3*i. Sort 0, u, i in increasing order.\nAnswer: i, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 856.\nAnswer: 19688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8604 less than -21753?\nAnswer: -21756.8604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 45. Suppose 3*l + z - 30 = 0, -64*z + 60*z + 50 = 5*l. Suppose -d = -9*m - l. Solve -3*q + 6 = -0*q + 3*o, 5*q + o + m = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-96) + (-2139)\/184.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 18*z. Let t be m(18). Suppose -2*d - 3*d = -h + 333, -5*h - 4*d + 1549 = t. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (19 + 1\/(-1)). Let a = -7 - y. Calculate the remainder when 35 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/((-4)\/(-16)*-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7222735279 to the power of 1\/3, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -1674, -6027, -14518, -28527, -49434, -78619?\n\"Answer: -230*l**3 + l**2 + 12*l + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 500 + 6. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14*(12\/(-21))\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -164, -0.2, 38, 1\/6, 4\/49, 0.3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 4*t**4 - 4*t**4)*(-3*t - 1 + 1) + (t**3 - t**3 - 3*t**3)*(t**2 + 2 - 2) + t**5 + 2*t**5 - t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 10*v**3\/3 - 32*v**2 + 24*v + 79. Factor p(n).\nAnswer: 2*(n - 6)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(-1 + 1 - 2) - 3 - 1 + 3 - 25 - 407 - 210 + 88)*((0*i**2 + 0*i**2 + i**2)*(-2*i**2 + 3*i**2 - 2*i**2) - 4 + 4 - 3*i**4).\nAnswer: 2236*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = -5*s - 905, z + 3*s + 173 = 0. Let x = 929\/5 + z. Suppose -2\/5*n**2 - 6\/5*n**3 + 6\/5*n + x - 2\/5*n**4 = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -490059, -980291, -1470523, -1960755, -2450987, -2941219?\n\"Answer: -490232*d + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252940, 3, -92\/5 in descending order.\nAnswer: 252940, 3, -92\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzlzpggzzzr. What is prob of picking 1 l and 1 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - -27)\/(1 - (-1 + 1)). Let y be h\/6*10\/6. Calculate the highest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3440 = 4*q - 4*t, 4*q - 2402 = 3*t + 1036. Let u = q - 414. What are the prime factors of u?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/21)\/(31 - (-11206)\/(-364)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 19 = s, 5*g - 5 + 0 = 5*s. Let w be 3 + 156\/(-27) + 2. Let b = w + 77\/18. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*u - 41, -2*u + 3*u = 3*h - 28. Let i = h - 4. Solve 0 = 2*g - i*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3 + 4 - 78\/20. Is -11 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/16))\/l**(1\/7))**(-37) assuming l is positive.\nAnswer: l**(-3293\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 + 604\/(-40) - (-51)\/10. What is the nearest to 14 in -1\/2, -17\/3, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.8. Let z = -56 - -89. Let g = -34 + z. What is the closest to n in g, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 36 - 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14731 divided by 14731?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*c - 4)*(0*c - c + 7*c)*(0*c + 4*c - c).\nAnswer: -90*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**2 - 2*s - 1. Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000010011100001 + 10?\nAnswer: -1000000010011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d1477 + -4?\nAnswer: -4d147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 3. Suppose 3*a + 188 = -4*w, -w + c*a - 42 = 4*a. Let r = w - -71. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9874?\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 20*m + 3. Give g(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 + 3*h + 2. Suppose 2*l - 28 = -0. Let k be ((-16)\/l)\/((-2)\/7). Calculate g(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/22505879 and -16\/1331?\nAnswer: 22505879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 5*m - 51, -t - 1649 = -3*m - 1680 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/2)\/(-5))\/(5\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 780760709 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 - 0 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -355*x - 139. Suppose -4*y - 786 = -678. Is n(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -3*b**2 - 2 - b + 4 - 1 + 3. What is the remainder when 41 is divided by q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12059 or 12171?\nAnswer: 12059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-2 + 5) + 16\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126708420?\nAnswer: 2, 3, 5, 157, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - n + n**2 + (1 - 2*n - 1)*(n - 4*n + 2*n) + (0 + 0 + 1)*(-3 - 4*n + 3)*(3*n + 3*n - n) to a + w*n**2 + s*n and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186852 is divided by 186091?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/50*(60\/(-176))\/(-5). What is the closest to -0.1 in q, -5, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 - 7704898*b**3 - 7420708615890*b**2 - 51944659820614*b - 74206546816820 = 0. Calculate b.\nAnswer: -1926221, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 28*x**2 - 4*x - 3. Let s(p) be the second derivative of -p**5\/20 + p**4\/4 - p**2 - 25*p. Let a be s(3). Is u(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248974*s**2 + 1856 - 1856 - 2*s.\nAnswer: 248974*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8712024 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, -6738, -22726, -53854, -105168?\nAnswer: -181714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10432247 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -2. Suppose 2*o = 5*o + 9. Which is the closest to -2\/5? (a) i (b) o (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -320331 - -2?\nAnswer: -320328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*a + 22, -1031*t + 1033*t - 10 = -5*a for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 - 40*a - 41 = 0. What is a?\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 119. What is the remainder when 50 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 - 119846*j**4 - 2*j**3 + 109090*j**2 + j.\nAnswer: -120*j**3 - 2876304*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/((-7)\/54))\/((-2884)\/(-5047))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/5 (c) 1\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*b = 128*b + 396 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 11949 = 2590 + 8847. Calculate the remainder when j is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*d + d**5 - 20*d**3 - 18*d + 83*d**3 wrt d?\nAnswer: 20*d**3 + 378*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 59. Let c be (w - 1 - -2 - -7) + 0. Let z be 10\/3 + (-4)\/(-6). Solve c = -z*i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 2*o**2 - 2*o + (-3*o + 4*o - 2*o)*(-3*o - o + 3*o) - 2 + 2 + o**2 + (-o + 4*o + 0*o)*(-4*o + o + 5*o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -36*i - 4. Let l be s(-3). Suppose 4*x - l = -2*a, 3*a - x - 79 = a. What is the remainder when 82 is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 - -0.25. Let y = 0.12 - -0.28. Let h = y + r. Which is the smallest value? (a) h (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**2 - 308*z - 3. Give t(26).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44080112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + r**2 + 3*r**2 + (0*r - 3*r + r)*(4*r + r + r) + (5*r - r - 3*r)*(0 + 0 - r) as b + j*r**2 + u*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 27 + 13*g**2 - 26 + 80.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 8. Let h be d(-6). Suppose -3*r + 12 = 2*m, -m = -h*r + 8 - 0. Let a(x) = 2*x + m*x - 2 - 4*x. What is a(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(176) - ((1*sqrt(2))**2 + -4).\nAnswer: sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (43\/(-22))\/(1033\/22726)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-480)\/28*(-2 + 17\/(-2)). Suppose a - 2*x - p = -0*a, 3*a + x - 533 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -12, 2\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 8 + j**2 + 3*j**2 + 0*j**2.\nAnswer: 4*j**2 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -19185*j**3 - 2*j**2 - 19146*j**3 - 18 + 38331*j**3 - 28*j**4 as s*j**4 + f*j + z*j**2 + v + k*j**3 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184 and -0.1.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5899313.17 rounded to the nearest ten thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -2. Suppose -4*c = 2*a - 57 + 11, y*c = -2*a + 41. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 5*w - 4. What is the least common multiple of z(4) and (-1 + 1 + 6)\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -3 - -5) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-7) - 12\/28. Suppose -705 = -k*o + o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/2 + 15*s**2\/2 - 24*s. Let g(k) = k + 1. Let d(u) = -2*g(u) - p(u). Determine d(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*k + 27728 = 130962 for k.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(833) + -1 + sqrt(833) + sqrt(833) + -5.\nAnswer: -14*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 8*w**2 - 2*w + 9. Suppose -938 = 245*o - 781 - 2117. Calculate a(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/5))\/t*t**7*t*t)**(8\/5))**35 assuming t is positive.\nAnswer: t**(2408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/25 - -142\/75. Factor -14\/3*f**3 + 8\/3*f**4 + 0 + 2\/3*f + l*f**2.\nAnswer: 2*f*(f - 1)**2*(4*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*a = -165 + 785, 0 = -5*k + 2*a + 1622. Calculate the lowest common multiple of k and 84.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31)\/(-22) + (-30)\/20 - 25\/(-33). Sort 0.05, 0.41, v.\nAnswer: 0.05, 0.41, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-1*6)**2 + ((-5*(sqrt(432) + 1))**2 - sqrt(432)).\nAnswer: 588*sqrt(3) + 26377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00641674 rounded to 4 decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42108 = 42*m - 45*m. Let y = m - 46236. Round y to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -y + 9 - 4, 0 = -n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/(-40)*(84\/35)\/(54\/60)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/15)\/4*55. Let b = 35 + l. Let z(m) = 90*m + 1. Let x be z(1). What is the greatest common factor of x and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2907.\nAnswer: -1\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*p - 429*p - 4018 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v + 43*v + 5*z - 5 = 0, 4*v - 80 = -10*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2516*m + 6842119 = 2563*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*i = -33, 2*p + 38*i = 34*i + 58. What is the highest common factor of p and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-12)*(-24)\/1452*11)\/((-7)\/49)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**5 - 18*d**3 - 14*d**2 + 5*d + 1. Let f(j) = -j**5 + j**3 + 2*j**2 + 1. Let s(l) = -c(l) + f(l). Find the third derivative of s(v) wrt v.\nAnswer: 60*v**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 1. Let u be x(3). Let g(c) = 15*c**2 + 2*c + 1. Let z be g(-1). Let s = 168 - z. Calculate the highest common factor of s and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 + 12*o**2 + 3*o - 4*o**2 - 2*o**2 + o**3. Let g be u(-4). Factor 8*s**3 - 3*s - g*s**3 + 10*s**3 - 6*s**2 + 14*s**3.\nAnswer: 3*s*(s - 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - a - 14, -3*i + 1 = 71*a - 70*a. Let w be (-5)\/((-105)\/(-18))*-7. Sort 1, i, w.\nAnswer: 1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2633*b*i**3 + 330258106*b*i - 100795*i**4 wrt i.\nAnswer: -15798*b*i - 1209540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from ywbbbbygwygzywwb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 0. Let j = -24 + u. Find the common denominator of 2\/(198\/(-109) + 2) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 10*h + 24. Let u(t) = 3*t**2 - t - 17. What is the units digit of u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 2, g: 1, j: 1, z: 1, k: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15216 - 15216.4. Which is the fourth biggest value? (a) -5 (b) -0.066 (c) u (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.54 (c) -0.1 (d) -4.3 (e) -1\/7 (f) -338 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.2 - 4.752. Let y = j + -2.5. Let q = y - 2.948. Which is the nearest to 0.1? (a) 2\/7 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 1. Let k(o) = o**3 + 17*o**2 + o + 30. Let r be k(-17). Let g(i) = 2*i - 2. Determine r*a(c) - 6*g(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101088 is divided by 1233?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 23. Let g be (-3)\/(-5)*(119\/a - -11). Solve -2*i**3 + 2\/5*i**4 + 8\/5*i + 12\/5*i**2 - g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**2 - 10*j. Let r(o) = 16*o - 29*o + 14*o. Calculate 10*r(c) + y(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2 from -461172474.25945.\nAnswer: -461172475.45945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + (107 + -117 - (-1 + 2)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**5\/6 - 7*n**4\/24 - n**3\/6 + 7*n**2\/12 - n\/3 + 1. Find s such that i(s) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 19. Let t = 17.6 + -18.1. Which is the third smallest value? (a) 3\/4 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657732 divided by 115?\nAnswer: 2657732\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101010011111 (base 2) in base 12?\nAnswer: -67967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5463662 divided by -3\nAnswer: 5463662\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/12 - 10*u**3\/3 + 33*u**2\/2 - 8*u. What is the tens digit of g(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 969, 963, 957, 951?\n\"Answer: -6*x + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19247 + -2217.8634?\nAnswer: 17029.1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -5090, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 8.\nAnswer: -8, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/11 + (-192)\/(-572)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(1*-3)*41\/82.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3931394, 3931408, 3931430, 3931460, 3931498, 3931544, 3931598?\n\"Answer: 4*p**2 + 2*p + 3931388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.85496 or -0.031?\nAnswer: 0.85496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 - 5*b + 3. Let a be (-9)\/18 + (-14)\/(-4). List the prime factors of f(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*a - 34 = -7*a, -y + 28 = 5*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471897, 943738, 1415503, 1887192, 2358805?\nAnswer: 2830342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1562, 1\/4, 4, 13 in descending order.\nAnswer: 13, 4, 1\/4, -2\/11, -1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = 5*o, -2*o = -0*o - 3*g + 19. Let x be ((-6)\/(-1))\/o - -15. Solve -x = b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in -13, -1\/4, -0.18, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let r(z) = z + 5. Let b be r(f). Does 4 divide 9*(b + (-4)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 5 + 25 + 2*b)*(49 + 20*b**2 - 49 + (-2*b**2 + 0 + 0)*(-6 + 2 + 2)).\nAnswer: 48*b**3 - 1056*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/5 + 7*a**2\/5 + 2*a - 16\/5 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.84 in 2\/7, -2\/9, -0.29, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 + 267*y**3 - 42*y**5 - 52*y**4 - 56*y**3 + 21*y**3 + 340*y - 424*y**2 + 91*y**5 - 45*y**5.\nAnswer: 4*(y - 5)**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*u**5 + 429*u**4 + 1314*u**3 - 6411*u**2 - 6420*u + 900 = 0. What is u?\nAnswer: -10, -1, 1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + 6 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16410087 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j. Let c be z(1). Suppose c = 5*g + 3*v - 4, 2*g + 2*v - 4 = 0. Let t = -28 + 85\/3. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 18. Suppose x + 5 = -4*x, -21 = -c + 2*x. Let w = c - 3. Let u be k(w). Solve 3*y + u*v = 4, 0 = 5*y + 5*v - 2 - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from 195215215.9.\nAnswer: 195215192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29c0760 - 3?\nAnswer: -29c0763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let z(f) = 1446403626*f. Give z(i(q)).\nAnswer: -1446403626*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*r**3 - 18 + 9 + 54*r**2 - 23 - 53*r**2 - 2*r to the form v*r**3 + j*r + w*r**2 + c and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -17*n + 29. Let w be m(3). Let u = 18 + w. Let x(j) = j + 2. What is x(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(-4*m + 4*m - m**2) + (-3*m + 4*m - 3*m)*(-m**2 + 2 - 2).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -41*p - 22. Let x = 45 - 39. Let a be d(x). Is a smaller than -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1560*y**2 + 3*y - 3*y - 1585*y**2.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 736952.\nAnswer: 22845512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 8*m. Let r be v(-4). Determine q, given that 1\/4*q**2 + 0*q + r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j**3 + 884*j**2 - 188*j + 137. Calculate o(63).\nAnswer: -3769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 35 = -15. Solve 0 = -0*w - z*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 167*v + 70 - 174. Let q(u) = -5*u**3 - u**2 + u - 1. Let x(t) = -4*t**3 - 2*t**2 + 2*t - 2. Let w(p) = -3*q(p) + 2*x(p). Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5 + (-6 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51650991 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.54 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 15*f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, 3, 5, -3, -532, -1, -4 in decreasing order.\nAnswer: 169, 5, 3, -1, -3, -4, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7392, -7385, -7374, -7359?\n\"Answer: 2*u**2 + u - 7395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 12, 5*c - 3 = 4*a - 26. Solve -a = 5*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q. Let f be o(-5). Suppose -3*y + 4*v - 45 + 47 = 0, -2*y + v = -3. Which is the second smallest value? (a) f (b) -2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 6:50 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89.35 - -87. Let n = i - -8.13. Let r = n + -6. Round r to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1230*d**2 + 543*d**2 + 1303*d**2.\nAnswer: 616*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**(-2)\/u)))\/u)\/u*u**9)**(-13)*((u*u**7\/u)\/u**7)**21 assuming u is positive.\nAnswer: u**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t. Let v(g) = 33*g**2 - 24. Calculate b(v(n)).\nAnswer: -165*n**2 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 72*x + 3. Let c(k) = 2*k**2 - 132*k. Determine w(c(u)).\nAnswer: 144*u**2 - 9504*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.16. Let z = -5.1 + b. Let w = z + 5.0005. Round w to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16556 (base 7) to base 11\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**5 + 19*f**5 + 17*f**5 + (-2*f - f + 4*f)*(-f**4 - f**4 + 3*f**4).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 24*z - 14*z + 17*z + 6 to m + s*z and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21472804?\nAnswer: 2, 73, 151, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/198 and 131\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let j = -1 + z. Let u be (2436\/245 - 10)*5. Which is the second smallest value? (a) 2\/7 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8340\/130 + 4\/(-26). Suppose h = j + 3*j. Solve -4*u - 5*f = 4, -j = -2*u + f + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 756\/432*56\/(-441)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17842053 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 12. Suppose -5*b = -t - 13, -g*t = -b + 6*b - 73. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 49*x + 363. What is m(-29)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5569 and 921062?\nAnswer: 915493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 553*c**2\/5 + 44319*c\/5 - 444393\/5.\nAnswer: (c - 9)*(c + 109)*(c + 453)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*v = 5*v - 132, -4*z = 3*v - 176. Suppose 2*t = z + 72. Suppose -4*x + 2*c = -t, 23 = 4*x + 3*c + 2*c. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w = -56*w + 742. Calculate the remainder when 155 is divided by w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.88 + 0.08. Let s = 21 + f. Let m = 0.2 - s. Which is the nearest to 2? (a) 4 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, -1, -5 in ascending order.\nAnswer: -26, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2\/11 (c) -3 (d) 0 (e) -4 (f) -1451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 2. Let d be g(-2). Suppose 3*m - 26 - 10 = d*c, -2*c = 5*m + 36. Let q = 40 + c. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -379, -377, -375, -373, -371, -369?\n\"Answer: 2*g - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 13 + 3 - 7*t - 3*t**2. What is the remainder when 31 is divided by f(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 take away -441020060?\nAnswer: 441019928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13713 is divided by 188.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, q: 1, b: 2}. Give prob of sequence bs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3191\/6 - 28615\/54. What is the common denominator of g and ((-3)\/2)\/(54\/(-86))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040029 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgt when three letters picked without replacement from fjjtgtjcmjtj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87674 and 887006.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b + 14. Let a = -6 - b. What is the units digit of a\/(-12)*9\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 + -167.75. Let w = 33 - d. Let c = -0.11 + w. Round c to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 - (0 - -2)) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:36 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60101 + -138?\nAnswer: -60239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -1 + 3 - (1 - 32). Suppose 36 = 32*n - m*n. Suppose d - 51 = n. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.50903 * -4.\nAnswer: -2.03612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*f + 23436 = -78*f. Is 31 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3289 * 8\nAnswer: -26312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**5 - f**2 - 56 - 208*f**6 + 179*f**6 + 9*f**5 wrt f.\nAnswer: -3480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) 0.03 (d) -124 (e) 3\/13 (f) -4 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29540837 + -148738113651\/5035. Let u = f + -6\/265. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -29*k. Let w(q) be the first derivative of -13 - 5\/3*q**3 + 0*q**2 + 8*q. Let t(h) = -2*h**2 + 3. Let g(o) = 8*t(o) - 3*w(o). What is g(a(r))?\nAnswer: -841*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6837)\/2322 - (-4)\/9)*(-56)\/(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**2*s**4 + 4*n**2*s - 22*n*s**2 + 4*s**5 + 47*s wrt s.\nAnswer: -36*n**2*s**2 - 44*n + 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074408, -1074384, -1074360?\nAnswer: -1074336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k - 30. Let v be f(-3). Solve 4*g + 0*t - v*t + 20 = 0, -3*g - 4*t - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + j - 5 = -6*g, -3*j = -2*g + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b + 22. Let l(d) = -13*d**3 + 11*d**2 - 2*d - 4. Let j(w) = -7*w**3 + 6*w**2 - w - 2. Determine b*j(a) + 6*l(a).\nAnswer: -a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 - j + 5. Let d = 0 - 5. Let q(h) = -11*h**2 - h + 8. Calculate d*q(b) + 8*w(b).\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Which is the nearest to 0.5? (a) h (b) -2\/19 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*y - 6. Suppose -2 = -5*q + y. Let m(c) be the second derivative of c**3\/2 - 3*c**2 + 1006*c. Let v(x) = x - 1. What is q*m(a) - 5*v(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 2*z - 2. Let p be g(3). Let f be (-144)\/14 - (-2)\/7. Let v = f - p. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 - 22 - 266*v**2 + 262*v**2 - 104*v**3 + 104*v + 58.\nAnswer: -4*(v - 1)*(v + 1)*(26*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4 + 148*t**3 - 4524*t**2 - 94228*t + 98600 = 0.\nAnswer: -50, -17, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1439240)\/(-170) - (-16)\/(-136). Round m to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1995*c**2 - 5.\nAnswer: 1995*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 189915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.19088 years in months?\nAnswer: 1034.29056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 24\/7, -1.948, 91?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 12, -0.9, 0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1841 * -0.3.\nAnswer: -552.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3621392, 0, 3, -4 in decreasing order.\nAnswer: 3621392, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1201 - -3.123.\nAnswer: -1197.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 0*m + 11*m - 13*m as v*m + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -26*c - 6. Let k(z) = 26*z + 5. Determine 3*k(h) + 2*u(h).\nAnswer: 26*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4 + 5827*q**3\/2 + 280295*q**2\/2 + 2964125*q\/2 - 9253125\/2 = 0.\nAnswer: -25, 5\/2, 2961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - q**2 - 3*q.\nAnswer: q*(q - 6)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + 4.3. Let m = -4.6 + g. Let v = 0.40000064 - m. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4620 + -153286.\nAnswer: -148666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*x**2 - 2 + 2 + (-x - 2*x + x)*(-6*x + 7*x + 6*x).\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*j**6 - 555*j**2 wrt j.\nAnswer: 2280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 - 1\/3*t**3 - 19*t + 7*t**2. Differentiate q(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*v - 0*v - 3*p, 0 = -2*v + 2*p + 10. What is the smallest common multiple of 25\/10*(v + -2) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39601 (base 12) in base 14?\nAnswer: -20921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**5 + n**4 + n**3 + n**2 + 1. Let c(w) = -6*w**5 + 4*w**4 + 64*w**3 + 74*w**2 + 18*w - 1. Let i(h) = -c(h) - s(h). Let i(v) = 0. What is v?\nAnswer: -3, -1, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615708 a multiple of 3266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1 - (-2 + -13). Let b(t) = -t**3 - 5*t**2 + 4*t - 1. Let i be b(-6). Let o = z - i. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -16. Suppose 3*s + 20 = b*s. Calculate the smallest common multiple of s and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -14740.\nAnswer: -2505.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81548351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 1, h: 2, d: 4, g: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9360\/(-12)*(-2)\/(-5)*-66. Suppose 0*p = -4*g + p + j, 4*g - 20576 = -3*p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 96 - 14)*(0*b + 0*b + b**2) + b**2 - 7*b**2 - 2*b**2 to v*b**2 + j + q*b and give v.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/3, 2889, 31\/10?\nAnswer: 31\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 - x**2 + 2*x - 1. Suppose 0 = -2*m + 3*t + 21, -t - 49 = -3*m - 0*t. Calculate the remainder when m is divided by s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/119)\/(20\/35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/8)\/(1\/(-16)). Let l = q + 41. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -15 + 11*c + c**3 + 2*c**2 + 2*c**2 + 22. Let o be v(-7). Let b = -1955\/9 - o. What is the second smallest value in b, -2\/5, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*n = 5*n + 12, -8 = -g + 2*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1084\/(-1897))\/(2*(-10)\/(4\/(-2)))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + s - 5*s + 19 = 0, 2*g + 4*s + 30 = 0. Let a = -3 - g. Suppose k - 4*p = a, 0 = 3*p - 5*p + 8. Calculate the remainder when 37 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 3, i: 2, j: 7}. What is prob of sequence jpi?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -76. Calculate the remainder when (854\/10 - -5)\/((-66)\/(-165)) is divided by g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-99 + 60 + 77)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/4)*(-2)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, j: 1, n: 1}. What is prob of sequence jaa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1953 and 12657393.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/28 - 3\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011011 - 110110101110?\nAnswer: -11100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.4 - 8.6. Do 6 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and 0.0706.\nAnswer: -3.6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxxb. What is prob of sequence tx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22950.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**2 - 40*z - 16. Let v(u) = -2*u**2 + u + 4. Let c(w) = -5*i(w) - 20*v(w). Factor c(r).\nAnswer: -5*r*(r - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -8\/3*a**3 + 4\/5*a**5 + 0*a**4 + 0*a**2 - 22 + 4*a. What is k in x(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*6\/(-108))\/((-1)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 3*n**5\/4 + 170*n**4\/3 - 950*n**3\/3 + 480*n**2 - 114*n. What is i in a(i) = 0?\nAnswer: -48, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 12*c**2 - 8*c - 5. Let h be l(5). Let b = h - -2. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 31 + 59 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b + 13\/2*b**2 - 6. Let q(m) = -m. Calculate j(q(u)).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23314 + 13000?\nAnswer: 41314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**2 - 964*g - 412. Determine p(81).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000010 (base 2) to base 4.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.66, 4, -5, -0.4, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 0, -6 = -4*l + 5*c - 2. Let r(g) = 47*g - 1. Let i be r(l). Suppose i = 3*j - 59. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/278 in -5, 2\/5, 248, -3\/8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 2)*0 - 157000. What is a rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j. Let w(l) = -15*l. Determine z(w(o)).\nAnswer: -75*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9976160 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + (-2 - -2). Suppose l + 3*q**2 - 3*q + 3*q**2 - 3*q**2 - q**3 + 0*q**3 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124453 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + x. Let v(l) = 5*l**2 + 18*l + 139. Let y(z) = -3*g(z) + v(z). Differentiate y(k) with respect to k.\nAnswer: 4*k + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 10*r**2 + 3*r + 33. Calculate b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.3 + 97.7. Let y be (-9)\/495*5*1. Which is the nearest to 0? (a) 0.04 (b) y (c) r (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45886196 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 14*v - 30. Does 41 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*z - 4*l, -54 = 2*z + 2*l - 66 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let r(x) = -x**2 - 6*x - 19. Let m(o) = -6*j(o) - r(o). Let b be m(-11). Solve -b*l = -3*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181378.4 years to months.\nAnswer: 2176540.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 - (-1)\/((-10)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*o**2 + o + 93.\nAnswer: 44*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 27*h**2 + 79 + 57*h**2 - 33 as g*h**2 + o + w*h and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*5\/30)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l. Suppose 3*g = 4*i + i + 12, -g = -i - 4. Let u(d) = i*d + 5*d + 0*d - 3*d. Calculate u(q(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1845376*l**5 - 35283702*l.\nAnswer: -36907520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - (-2730)\/(-50). Let h = d - -65. Suppose -5*r = -10 - 0. Solve -3*y = r*y + h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c**3 - 1 + 85*c**3 - 178*c**3 + 1.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 310*w - 3737. Give n(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20791*i + 87984 + 528662 = 28505 - 56380 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162.8353 - 0.3.\nAnswer: -163.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 20 = 125 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4431 * 3.\nAnswer: -13293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a4 + 54?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/105 + 19\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, 5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-15360 + 4449*l + 15360) as u + i*l and give i.\nAnswer: 4449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108722 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)\/d**(-7)*(d*d\/(d**(-1\/10)\/d))\/((d*d\/(d\/d**(-8))*d)\/d) assuming d is positive.\nAnswer: d**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -569503*s**5 - 977096*s wrt s.\nAnswer: -11390060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 = -5*y + 104. Let s = 92 + y. What is the remainder when 38 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11 and -34\/233385255.\nAnswer: 2567237805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l + 3. Let s be j(2). Let m be 16\/(-12) + 24\/s. List the prime factors of ((-78)\/m)\/((-2)\/(-24)) + 0.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 1 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7209 less than 0.011?\nAnswer: 7209.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 13*l**2 - 2790*l - 13750. Give p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 42, -2\/5 in ascending order.\nAnswer: -2\/5, 11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/24 - 9)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 632, -44, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 1:15 AM?\nAnswer: 338","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1155151, 1155159, 1155171, 1155187, 1155207?\n\"Answer: 2*m**2 + 2*m + 1155147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 2\/3, -21369.2, 0.4 in ascending order.\nAnswer: -21369.2, 0.4, 2\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 88. Which is the third biggest value? (a) x (b) 0 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - -14?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*m**3 - 163*m**3 + 1090*m**3 + 179*m**3.\nAnswer: 1271*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m - 9. Suppose 3*a - 55 = -1. Suppose -8 = c + 4*u, -3*c - a = -u + 6. Is k(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*h - 21, -3*o + 17 = -0*o + 5*h. Let s(u) = -2*u - 335*u**2 + 7*u + 343*u**2 - 4*u. Give s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2832543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2053? (a) 70 (b) 4 (c) 0.4 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (10 - 20) + (-7 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4726169 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10 = 3*n + 4*w, 14 = -3*n + 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z + 1\/6*z**4 + 4*z**3 + 21*z**2 - 1\/15*z**5 + 0. Factor j(w).\nAnswer: -4*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17828359 divided by -17828359.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564446865 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -35. Let y(w) be the first derivative of -j*w - 3 - 4*w - 16*w - w**3 - 9*w**2. Factor y(f).\nAnswer: -3*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 331700 and 31?\nAnswer: 331700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 6*g.\nAnswer: -3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(66\/(-21) - -3). What are the prime factors of 54\/(a\/(-5) + (1 - 2))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(1 + 0 - 4)*(1 - 2 + 2)*(1 - 1 - 4)*(-i + 0*i - i) as t + c*i and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + -10004254?\nAnswer: -10004255.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5719\/(-42) - 1\/(1 - 7). Let z = q + 138. Calculate the least common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108\/1859 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1\/2, -0.5, -0.1 in increasing order.\nAnswer: -0.5, -0.1, 0.08, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 209.724359 and -0.1637.\nAnswer: 209.560659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 81. Let t(p) = -62*p**3 + 2*p + 9*p**2 + 63*p**3 + 31 - 21. Calculate t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m + 22. Determine c(-13).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 504, 757, 1010?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 7, s: 1, q: 1, d: 8}. Give prob of picking 1 q, 1 s, and 1 d.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:23 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 437 - 457 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let r(f) = -f**3 + 16*f**2 + 3*f - 39. Let m be r(16). Let a(u) = 0 - 7 + 6 + 8*u. Give m*n(k) + 2*a(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 7 = -5*o + 3*k, 2*o - 2*k - 4 = 0. Let a(v) = -7*v - 6 + 19*v**2 + 4*v - o*v - 6*v. Is a(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6471411 nanometers to kilometers.\nAnswer: 0.0000000000006471411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004459417 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-8 - -17) + 3 + -5 - (44 + -2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 20*l + 92. Let k be t(-4). Suppose -7*c + 61 = k. Let j(u) = -2*u**2 + 11*u + 7. Let i(b) = b**2 - 6*b - 4. Calculate c*i(o) + 4*j(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.313949 rounded to two dps?\nAnswer: -84.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -2043340 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/10, -0.2, 7, 2, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Let n be 4\/(-2) - 102\/(-42). Which is the second biggest value? (a) n (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1102700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*w + 45, -9 = -3*w - 796*p + 792*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/6865 - -9851317\/41190. Let l = 229 - g. What is the common denominator of l and -21\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**2 + s**2)*(-3*s + s - s) - 3*s**4 - 2*s**5 + 3*s**4.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5059 - -3.52. Round g to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2097 - 8.5.\nAnswer: -2105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 1 (b) 1\/4 (c) 70 (d) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 10609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1088) + sqrt(1088)*5*-3 + -1.\nAnswer: -112*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x = -486, -x - 4*x = 4*t - 374. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-4))\/(-5) - 140\/1456. Which is the biggest value? (a) -1\/5 (b) -0.1 (c) k (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -515, -1980, -4421, -7838?\n\"Answer: -488*r**2 - r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 893068?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -2.435, -0.1, -32\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3523073, -14092380, -31707891, -56369606, -88077525, -126831648, -172631975?\n\"Answer: -3523102*x**2 - x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -32, -4, 1\/6, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + -2) - (7 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -464213 divided by 1\nAnswer: -464213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 2041, -17, -2, -18 in decreasing order.\nAnswer: 2041, 16, -2, -4, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20733*-0.011.\nAnswer: -0.00228063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5721*v**2 + 5723*v**2 + 7254*v**2 in the form g + t*v**2 + b*v and give t.\nAnswer: 18698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 275*s**2. Let i(x) = x. What is y(i(j))?\nAnswer: 275*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a8dd79 - 1?\nAnswer: -1a8dd7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 22*j**2 - 29*j + 30. Suppose -5*x + 4*y + 112 = 7*y, 3*x + 4*y = 76. List the prime factors of b(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -155. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (-2 - (2 + 0))) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 2265*f**3 + 2235*f**2 - 20385*f - 20358 = 0.\nAnswer: -754, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154316 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*k - 70*k + 1270 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -13) + -11 - (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 346 = 301. Suppose -b*t + 22*t = 392. Calculate the remainder when t is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 3*s - 2*s)*(2 - 1 - 2)*(-10*s + s + s).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10630, 10638, 10646, 10654?\n\"Answer: 8*w + 10622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43809*n + 43806*n + 7*v + 19 = 0, -3*n = -8*v - 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4395622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 11*g**4\/2 - 2*g**3 + 7*g**2 + 3*g + 63. Is t(3) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 7. Let r be (-15)\/10*(-2 + 0)*1. Suppose 4*c = 4*d - 24, -r*c - 5*d = 7 + 3. Calculate f(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 19*m = -4*a + 3225389, 4*m + 5*a + 4300498 = 0. Let p = 2335127 + m. Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 91882350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 689*o**3 - 1 - 1288*o**3 + 4*o + 666*o**3 - 2*o**2 - o in the form a + v*o**2 + f*o + l*o**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1163 in increasing order.\nAnswer: -1163, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 66 = -4*h + 19, g = 3*h - 60. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 7 - 9. Suppose -5 = -3*a + l. Solve -2 = h - a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9187 + 17240. List the prime factors of b.\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 2*h - 1. Let u(x) = 3*x**2 - 3*x - 2. Give -5*a(s) + 3*u(s).\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 - 26*l - 16. Let t be c(-8). Suppose t = 4*m + 12, 57 = -5*r - m + 1244. List the prime factors of r.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.9802 - 0.0198. What is the second biggest value in j, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x**5 - 166*x**4 + 1998*x**3 + 12256*x**2 + 5608*x - 19680 = 0. Calculate x.\nAnswer: -123\/8, -4, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 3. Let l = 8 + -2. Calculate the remainder when u is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 1 + 3*k - 4 - 1 - 8*k. Suppose 5*d = -2*i, 2*d = 2*i + 17 - 3. Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.65. What is the third smallest value in -1, 6\/7, f, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115 + 1115 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 7*d**2 - 9*d - 12. Let o be h(4). Suppose 5*a - 1575 - 1070 = -4*x, 3*a - 3*x - 1614 = o. List the prime factors of a.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 82.9993618. Round v to 5 dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.37. Suppose 2*l + 0*l + 8 = 0. Which is the closest to -2\/3? (a) 0 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - 24102\/(-377)) + ((-2)\/(-29) - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 61?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + (-13 - -10) - 48) + 1 + 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {t: 4, k: 5, n: 1, e: 3, y: 3, j: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 6*b - 31 + 22. Let c be n(-5). Is 9566\/((-2)\/((2 + -3)\/c)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = 3*v. Let r(u) = u**2 + 2*u. What is the tens digit of r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) -1 (c) -0.098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let z = 10 - g. Solve 0*w = 4*w + 2*k - z, -2*k = -w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 89*m - 94*m + 45, 2*m - 10 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.29302 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13506*c**2*l**3 + 661*c**2*l*n**2 - 6*c*l**3 + 25*c*l - 36*c*n**2 + 235*l**3*n**2 wrt c?\nAnswer: -27012*l**3 + 1322*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9057*c**2 - 3*c + 9451*c**2 - 19394*c**2 + 3*c.\nAnswer: -886*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from ssczqzcscv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 237803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - 1 - 15*z + 1 + z**2 + 1 + 18*z as j*z**4 + n*z + y*z**3 + k*z**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -19\/4*k**3 - 7\/2*k**2 + 0*k - k**4 + 0 + 1\/4*k**5 = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440475*t**6 + 14682*t**2 - t + 10 wrt t?\nAnswer: 52857000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*u\/u**(5\/4)*u)\/(u\/u**(5\/6)*u*u**(1\/7))*((u**(1\/4))**(-1\/4))**(-11\/4) assuming u is positive.\nAnswer: u**(7543\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 473835703 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -16. Let q = 114 + j. Let g = -0.1 - 0.1. Which is the second smallest value? (a) g (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-6))\/((-1564)\/184))\/1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63b9b + 1?\nAnswer: 63b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 1\/3 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6472.3 + 6088. Round w to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010 + 10?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -350, 5, 2 in ascending order.\nAnswer: -350, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/630 + 47*k**4\/28 - 842*k**3\/63 + 11531*k**2. Find g such that n(g) = 0.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 2, g: 11, p: 1}. What is prob of picking 2 e and 1 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3287550468 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-5*m**3 + 2*m**4 + 5*m**3).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1955 divided by 4656\nAnswer: -1955\/4656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, 4, 0, -359, -66 in descending order.\nAnswer: 333, 4, 0, -66, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10530606 to the power of 1\/2, to the nearest integer?\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90492612 and 923394?\nAnswer: 90492612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = -d. Let t be 3\/5 - (-2)\/((-20)\/(-54)). Let x be (-1 - d) + (122 - t). Calculate the highest common factor of 48 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 113 = 141 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2. Let h(v) = 7*v - v**2 + 6 + 2*v**2 + v - 4. Let d be h(-8). Let n(x) = 60 - 60 - x**d. Calculate o(n(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -16) + -192 + 206 + 1 + 3 + -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99866248 - 0.6?\nAnswer: 0.39866248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 339 times 1.2\nAnswer: 406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*k + 2*y - 13, -2*y = 4*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/5))\/x*x)**(-3\/7))**(-23)\/(x**(-3\/4)\/((x*x**(-2)\/x)\/x)*x\/((x**1*x*x)\/x*x)*x*x*x**(-3\/4)\/x*x*x) assuming x is positive.\nAnswer: x**(239\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -7. Let u = x - -6. Put u, -1, 4 in descending order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 435*n + 872. Let c be q(-2). Let s(r) be the first derivative of -r**3\/3 - 3*r**2 - 3*r + 1. Let u be s(-5). Solve -u = -4*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*y**2 + 3645*y**2 - 26205100*y + 26205100*y.\nAnswer: 4391*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 23. Let z be (4\/((-12)\/(-51)))\/5 - 3. Which is the second biggest value? (a) 0.2 (b) 2\/7 (c) z (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 + -4?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 16 in decreasing order.\nAnswer: 16, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 536*d**3 + 4960*d**2.\nAnswer: 4*d**2*(d - 124)*(d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 23. Let r be 18\/((-180)\/(-50)) + -2. Let d(j) = j + 12. Determine r*c(i) - 5*d(i).\nAnswer: i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392\/9 + 448\/9*l + 58\/9*l**2 + 2\/9*l**3.\nAnswer: 2*(l + 1)*(l + 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {c: 1, n: 2, w: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 136 = 3*k. Let j(b) = -b**3 - 5*b**2 - b + 7. Let r = -17 - -12. Let g be j(r). Calculate the greatest common factor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i + 1. Let g be 0\/2 + 20 - -1. Let t = -1 - g. Let w(x) = 10*x**3 + 11*x - 11. Let h(v) = t*j(v) - 2*w(v). Factor h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1402090 and -23\/1788.\nAnswer: 8412540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - (-12 - (-26 - -13))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 160 - 147 + 17*f - 235.\nAnswer: 17*f - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in -4\/13, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = 2*g - 2. Let r(c) be the third derivative of -6*c**g - 1\/48*c**4 - 1\/24*c**3 + 0 + 0*c - 1\/240*c**5. Suppose r(j) = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -1640154 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1663298728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196599 = 3005*q + 2336*q + 97156 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114 + 366570?\nAnswer: 366454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53595494461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*c**3*r*s**2 - 7367*c**3*r*s + 4*c**2*r - 7357*r*s**2 + 2*r + s**2 wrt c.\nAnswer: 270*r*s**2 - 44202*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117378 and 45.\nAnswer: 586890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/(-1740)*10\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = x + 4*x + 173, 3*x = 5*o - 200. Let s = 34 - o. Let i be 3\/9 + s + (-188)\/(-48). Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p + 3. Let u be t(-5). Suppose 2*i = r - 110 + 380, 2*i - 270 = -5*r. Let k be (8\/(-10))\/(54\/i). Is u at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.4. Let o = 144540.2 - 144540. Which is the closest to 1\/4? (a) o (b) 10 (c) q (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/125 - ((-2184)\/(-65) + -4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z + 24 = o, -4*o - 2*z + 40 = 0. Calculate the highest common divisor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 2*z. Let h(w) = -304*w**2 - 9*w - 32. Let s(q) = h(q) - 4*p(q). What is the second derivative of s(a) wrt a?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345608, 345618, 345630, 345644, 345660?\nAnswer: 345678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -2*o**5\/5 + 2*o**4\/3 + 10*o. Find the third derivative of t(q) wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 21*l + 9*l as f + g*l and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -46, -53, -64?\n\"Answer: -2*m**2 + 3*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 16, q: 4}. Give prob of picking 1 c and 3 q.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29863 (base 12) to base 13.\nAnswer: 2068b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -37 in decreasing order.\nAnswer: -5, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 10 = -21*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -7)*(-1)\/1. Let p = -2 - i. Suppose 7 = r - p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -15 - 5. Suppose 5*y = 5 + a. What is the second derivative of -s + 27*s**2 - 47*s**2 + 24*s**y wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 16, -4, 36.\nAnswer: -4, 1, 3, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - (-23)\/3. What are the prime factors of 34\/9 - b\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Let a = 12 + -11.94. Let x = 4.06 - a. Sort x, c, -1\/5.\nAnswer: -1\/5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-462)\/(-147))*-2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -435 - -12?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 7*m - 1. Let k(n) = -4*n**2 + 8*n. Let f(r) = -3*i(r) + 2*k(r). Suppose 0 = -a - 11 + 5. Let u be -2 - a - (-2 + 1). Give f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (516\/(-7))\/(((-374)\/1785)\/11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982 + 7*v**3 + 465 + 517.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -206922*m**2. Let f(w) = -2*w**2. Give k(f(d)).\nAnswer: -827688*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*1.1.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 518581596 != 518581596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 2*m**3 - m + 4*m**3 - 2*m**3 - 3*m**3 + (0*m + 0*m + 3*m)*(-3 - 2*m**2 + 3) in the form t*m + o + w*m**2 + x*m**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10013302 (base 5) to base 14\nAnswer: -20c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 5*x**4\/24 + x**3 + 4*x**2. Let v be d(-4). Let z(a) = 5*a - 13. Let k be z(v). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + m + 4*m - 3*m**2 - 12*m. Let v(t) = 2*t**2. Calculate v(g(c)).\nAnswer: 18*c**4 + 48*c**3 + 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 904 and 80.\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.94334ng in micrograms?\nAnswer: 0.03294334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7498, 15, 1, -16 in ascending order.\nAnswer: -7498, -16, 1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v - 58*v = -264. Solve -v*q + 3 = -3*i - 12, 3*q - 25 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - sqrt(84)*-2)*6)\/(6*(2*sqrt(12) + sqrt(12))*-5).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/3 - 24*b + 1034\/3 = 0?\nAnswer: -47, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2630 - 18?\nAnswer: -2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 12 + 4\/(2 + 2). Factor p*d**3 - 8 + 21 - 13 - 8*d + 24*d**2.\nAnswer: 2*d*(d + 2)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)*p\/(p\/p**(2\/15))*(p*p\/(p\/p**(1\/3)))**(-20\/3))**9 assuming p is positive.\nAnswer: p**(-1564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 418 = 9*b, 0 = -74*y + 70*y + 4*b + 168 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 2. Let f = -50 + -23. Let c = f - -105. Calculate the remainder when c is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8057 + -8057. Let p(w) be the third derivative of -11*w**2 + c*w**4 + 7\/6*w**3 + 0 - 1\/15*w**6 + 0*w + 0*w**5. Differentiate p(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 6. What is y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6085513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.171 (c) 20 (d) -0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-25 - -204*8\/64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14 (b) 1\/7 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81540136?\nAnswer: 2, 887, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28093245\/12709 - -1\/25418. Let x = 2162 + j. Calculate the common denominator of (2\/32)\/((-8)\/304) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**3 + i**3 + (4*i + 0*i - 5*i)*(0*i + 0*i + 2*i**2) + i**3 + 4*i**3 - 4*i**3 - 2*i**3 + i**3 + 3*i**3 + 16*i - 143*i**3 - 20*i + 313*i**3.\nAnswer: 172*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-144*132\/(-1408).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 16*k + 6. Let z(q) = 2*q - 1. Determine z(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -5 + -6 - (6 - 24))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 8*a**2 - 27*a**2 - a + a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(495)\/sqrt(9) + sqrt(55)))\/(sqrt(50)\/(sqrt(10)*5))*-4.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296400 and 6764?\nAnswer: 26379600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 28, -2*p + 20*i - 24*i - 22 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/5 + 3\/5. Let v(b) = 14*b - 2. Let s(y) = -1. Let p(u) = x*s(u) + v(u). Let h be p(4). What is the greatest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/53 - 253\/212. Let y = x + 23\/12. What is m in -m**2 + 1\/3*m**3 + y*m + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-264)\/(-15) + 12\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + ((-7215)\/(-740))\/(6\/(-8)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10848968083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 21 = -4*q, 4*w - 69*q = -39*q - 35*q - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 76\/21, 5\/2, -1.1, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 3*q - 11, -4*q = 5*v - 32. Let t(z) = -10*z + 383 - z**2 + 2*z**2 - 354. Let m be t(4). Sort m, v, -2.\nAnswer: -2, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 - 7740*q**3 + 7738*q**2 = 0. Calculate q.\nAnswer: 0, 1, 3869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 3*s**2 - 6.\nAnswer: 3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + s**4 + 3*s**4 - s**4 + (-2*s**2 + 2*s**2 - 2*s**2)*(s - 2*s**2 - s) + 6*s**4 - 3*s**4 + 0*s**4.\nAnswer: 10*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 194\/97*(-1 + 2)*162. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2039*i**2 + 2087*i**2 - 6162*i**2 + 2042*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726746417?\nAnswer: 3, 11, 1937987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67239913 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 + 7 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*w**2 + 23985*w + 2835 = 0 for w.\nAnswer: -63, -9\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -10*x - 1\/25*x**5 + 2\/5*x**3 - 4\/5*x**2 + 0*x**4 + 0. Factor v(a).\nAnswer: -4*(a - 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9973582, -19947147, -29920692, -39894211, -49867698?\n\"Answer: j**3 + 4*j**2 - 9973584*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12089662 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -916 + 871. Let z(k) = -8*k**3 - 9*k**2 - 9. Let f(g) = 2*g**3 + 2*g**2 + 2. Give r*f(l) + 2*z(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsgv when four letters picked without replacement from {g: 2, s: 2, n: 6, v: 3, h: 4}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 minus -197881276?\nAnswer: 197881273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5350717.\nAnswer: 157, 173, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(78)*-2*6 - sqrt(78))\/(sqrt(150)*-2))**2.\nAnswer: 2222\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80616566*g**3*w - 6563*g**2 - g*w + 520*w wrt g?\nAnswer: 483699396*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140702?\nAnswer: 2, 70351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103341 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 41 (b) 5\/3 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 2119*n + 96 + 105 - 296 to k + g*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/3)\/((p\/(p**(-2\/17)\/p*p*p)*p)\/p*p))**(15\/7)\/(p*p**(1\/5)*p*p**1)**43 assuming p is positive.\nAnswer: p**(-86697\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-30) + -3 + (-116)\/(-24). Suppose -2*n + 556 = -2*g, -2*n + 3*n = h*g + 281. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-21))\/(-21*(-14)\/3430)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 26. What is the tens digit of v(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 - 15*n - 21. Determine q(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, 2.5, -0.3 in decreasing order.\nAnswer: 2.5, 0.3, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(2 - 0)*12\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/4 + 7*s**3\/3 + 3*s**2\/2 - 4*s - 34. Determine p(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -13. Let s = -1.04 + 0.04. Sort 4, s, p in ascending order.\nAnswer: p, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7))**24*z*z**(-5\/3)*z**(-1\/18)\/z assuming z is positive.\nAnswer: z**(215\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w**3 - 27*w**3 - 2*w**2 + 2 + 0*w**2 + 6*w**2 - 2*w to the form q*w + u*w**2 + p + r*w**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 9*d - 21. Let m be z(2). Solve m*r + 12 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82151*g**3 + 40506*g**3 - 165 + 165 - 28844*g**3.\nAnswer: 93813*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400 (base 6) to base 3.\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*o - 126*o - 5533 = -1357 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njcnjncrnncjrjrjnjj. What is prob of sequence jjcj?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743515 is divided by 247772.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(176) + 4.\nAnswer: 4 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 divided by -166?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*l**5 + 3*l**2 + 2973*l wrt l.\nAnswer: 4760*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t, -3*w + 111*t = 110*t + 17. Sort 7, 0.4, w, 15 in increasing order.\nAnswer: w, 0.4, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(((i*((i\/(i\/(i\/(i**(-4)*i))))\/i)\/i)\/i)\/i)\/i*i*i*i**3*i*i)\/(i*i**(-1)*i*i)**(7\/4))**(-4\/5))**(-7\/5) assuming i is positive.\nAnswer: i**(126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-1) + -5)*(-210)\/(-111). Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y**2 + 2955 + 6*y - 2951 + 19*y**2 - 9*y**2. Determine u(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1. Let l(o) = 4*o - 28. Let r(p) = -2*d(p) + l(p). Let v be r(6). What are the prime factors of ((-3)\/v - 1)\/(1\/(-102))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Let t be 265\/25 + (-10 - 1). What is the closest to -2\/11 in t, z, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228666882*t**3 + 11*t**2 + 3395515*t?\nAnswer: 1372001292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376988061407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*t**3 - 101*t**3 - 3*t**3 + 24*t**3.\nAnswer: -169*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amam when four letters picked without replacement from mmaaaaaaammmm.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*i + 16, -5*m + 0*m + 12 = -3*i. Suppose m = -3*p + 119 + 40. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36\/31 + -76\/279. What is the common denominator of (-4 - (-603)\/123)\/(-1) and l?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g - 79. Calculate i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 855883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 5*z**2 + 6*z - 4. Let t be c(4). Suppose -5*m - 5*b + 35 = 0, -t*b + 0*b = 12. Calculate the least common multiple of 11 and 516\/m - 8\/(-20).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-4*(-63)\/84. Solve 3*a + 9 = t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150066, 150323, 150580, 150837, 151094?\nAnswer: 151351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 4*l + 3 = -3*x, -3*x = 5*l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1064 and -1\/5?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -525, -1273, -2465, -4185, -6517, -9545?\nAnswer: -13353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = 0, -69 + 99 = -4*i + 3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**2*u**3 + 1536*i**2*u**2 - 41*i*u**2 - i + 4*u**3 - 13*u wrt i.\nAnswer: -10*u**3 + 3072*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 8, s: 6, i: 3}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 262980 divided by 13149?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 bigger than 852020\/1831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50029.50166 + -50008.70166143. Let h = -59.2 + 80. Let j = h - l. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*b = 395*b + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46270 - 8559918\/185. Let q = -181\/148 + v. What is the common denominator of q and ((-4)\/(-14))\/(4\/(-37))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, v: 7, c: 2}. Give prob of sequence vvic.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*w + 5*w + 26, 9 = 3*b + 3*w. Suppose 17 = 2*u - b. What is the greatest common divisor of u and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(45\/10 + -2). Let p = 0 - 0.3. What is the closest to 0 in p, -4, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v**3 + 32*v**3 + 28*v**3 + 36*v**3 + 29*v**3 + 26*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14778802 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195156 is divided by 17720?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -210, -471, -836, -1305, -1878?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/5 - l**4\/12 + l**3\/6 - 3*l. Let o be t(1). What is the units digit of 7 + (-2 - o) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + z**3 + (5*z**2 - z**2 + 0*z**2)*(4*z - z - 2*z) - 96*z**3 - 104*z**3 + 193*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*22\/77*(-3)\/90.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7029812 decades?\nAnswer: 0.07029812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4d0 (base 15) to base 7\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + (-10)\/(-6). Let i = 4 + -11. Let r be 16 + 0 - (-4 - i). Solve -3*v + r = 3*x - d, -5*v = -2*x + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.8 + -8.8. Sort -1, 42, z.\nAnswer: -1, z, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-35)\/14)\/((-6)\/32). Suppose -5*k = 4*r + 140 + 110, -2*r - 124 = 3*k. Let o = y - r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721506 + 6134*r - 5*r**2 - 2510494 + 4612*r - 1546*r = 0 for r.\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 110. Let o be g(-11). Let a = 1\/63 - 53\/2016. Let q = a - -131\/288. What is the closest to 2 in o, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - 0 - (43 + -36 - (-15 - -2))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b. Let v(k) = 30*k**2 + 7*k - 2. Let l(s) = s**3 + 39*s**2 - 42*s - 86. Let r be l(-40). Give r*i(h) + v(h).\nAnswer: 24*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16380592.\nAnswer: 2, 29, 43, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v - 6. Let j be v\/12*(-30)\/4. Let u = 13 - -10. Solve 2*h = -j*w + u, 2*h - 1 + 23 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 32*y + 10. Let a be s(-26). Let b = a - 5. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 12 (b) -1\/3 (c) -4\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -2*y + 5*b, -51 = 4*y - 3*b - 496. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(500) + 2*sqrt(500))*2*-5)**2.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2428*s - 3421054. Give p(1409).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 807844307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*(22 + -10)\/72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 417918 and 10030003\/24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 times 3?\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 divided by 686.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbj when three letters picked without replacement from jtwwhbhwtttwttwbwth?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10991972, 10991970, 10991968, 10991966, 10991964, 10991962?\nAnswer: 10991960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -517*q. Let v(j) = 4*j**2 + 42 + 34 - 91 + 15. Determine v(i(u)).\nAnswer: 1069156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 705 = 95. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*6\/(-34). Let n = -110.77 + 111.07. Which is the nearest to -0.9? (a) f (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13529.5 - -13530. Let m be -2 - ((-24)\/10 + 0). Which is the third smallest value? (a) -27 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/(585\/234)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 17311 = 10591. Suppose -2*h - 2003 = -3*f - 0*h, -4*h = -3*f + c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -777.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - v. Let d(l) = 1118*l**2 + l. Determine -d(i) - u(i).\nAnswer: -1123*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 108*9\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 6. Let z be c(4). Find the second derivative of -49*n - 93*n**2 + 42*n**2 + 49*n**z + 1 - 21*n**3 wrt n.\nAnswer: -126*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 113055152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -9*y**3 + 1844. Let j(i) = 7*i**2 - 5*i. What is j(p(t))?\nAnswer: 5103*t**4 + 135*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525651 divided by 175217.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 0 + sqrt(432) + -3 - (sqrt(432) - (sqrt(432)*1 - sqrt(432)))*-5)**2.\nAnswer: -504*sqrt(3) + 21177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**(-2\/5)\/(x**(-2\/7))**(-2\/89) assuming x is positive.\nAnswer: x**(-3758\/3115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6455\/28926 + 3\/3214. Sort m, 796, 0.3 in decreasing order.\nAnswer: 796, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3 + 3 + (-2 - 3 + 3)*(-3*r + 3*r + r) + r + 0*r - 14*r + (3*r - 2*r - 4*r)*(6 - 3 - 2).\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**4*f - d**3*p + 3*d**2*f - 2*f*p - 13*f + 17*p wrt d.\nAnswer: -8*d**3*f - 3*d**2*p + 6*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2043 + -1664. What are the prime factors of y?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 5*q**6\/72 + q**4\/12 - 5*q**3\/2 + 3*q**2 + 1. Let u(r) be the second derivative of s(r). Let v(a) = -2*a. Calculate v(u(b)).\nAnswer: -100*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-948)\/320)\/(42\/472). Let r = 6\/35 - u. Is 11 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.4 + -0.023.\nAnswer: -76.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.28 - 2.34. Which is the smallest value? (a) f (b) -1\/8 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1428 - 294 - 2*o - 1383.\nAnswer: -2*o - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25350)\/(-8) + 7\/28. Let z = w - 19165\/6. What is the common denominator of -97\/14 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1819*g - 229322 - 1796914 = 19593*g for g.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83.6 * -2\nAnswer: 167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 16008 - 33734 = -7958. What are the prime factors of h?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l - 7. Let u = -1950 - -1947. Determine d(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - r - 9. Suppose 4*i + 23 = 23. Let k be p(i). What are the prime factors of 5 + 141\/(-27) + (-1613)\/k?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -37*a**3 + 3. Let g(f) = f**3 + f**2 + 1. Calculate -3*g(w) + s(w).\nAnswer: -40*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(833))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - g**3 + (-1 + 1 + 2*g**2)*(-g + 0*g - g) + 581*g**3 + 102 - 212 + 110 + 8339*g**3 as n*g**2 + w*g + d*g**3 + c and give d.\nAnswer: 8915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.3 - -0.7. Let h = k - -8. Let s = -5.42 - -5.12. Which is the biggest value? (a) -4 (b) 4\/7 (c) s (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 2*c**2 - 3*c**2. Let m(o) be the first derivative of -7*o**2\/2 + 7*o + 34505. Determine r(m(g)).\nAnswer: -49*g**2 + 98*g - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 7405 - 7449 = 2*p, -5*s = -p - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 59*u + 134*u + 31*u - 26*u.\nAnswer: 198*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71369 rounded to 2 dps?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9968 times -13.933\nAnswer: -138884.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5\/40 + 29*n**4\/12 + 28*n**3\/3 - 8. Let u(w) be the third derivative of c(w). Let a be u(19). Which is smaller: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from svsgvsgs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4 and 26\/39 - (-163)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655593.\nAnswer: 1655593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92347407 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -116\/3. Suppose -5 = -0*t - 3*t + 4*u, 5*t + 5*u + 15 = 0. What is the nearest to -2\/9 in t, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-641)\/12179*(-6)\/(-3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 75*i - 3. Let j(s) = -s**2 + 77*s - 4. Let u(z) = -2*j(z) + 3*l(z). Find the second derivative of u(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 40 = 2. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2495752*m**3 - 2821692*m**2 wrt m.\nAnswer: 14974512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*y**2 - 562*y - 116*y**2 + 562*y - 16*y**2.\nAnswer: -380*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900778?\nAnswer: 2, 3, 17, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 2. Let w be f(0). Let g = 43 - 38. Suppose -4*l - 6 = w*s - 2, g*s - 8 = -l. Which is the second biggest value? (a) 2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16396.\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 12. Let a be r(4). Let f be 6\/a*160\/15 + 1. Let g(j) = -3*j**2 - 18*j - 37. Let v be g(f). What is v rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*d**2 - 6 + 2*d**2 - 5*d + 43*d - 35*d - 23*d = 0. What is d?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*g - 0*g - s, 0 = -4*g + 3*s + 76. Let i = -3 - -47. Calculate the highest common factor of i and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580798 divided by 6298?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9 + (0 - (-87 - -10))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -59. Let z(b) = b**2 + 2*b - 3. Let m be z(3). Suppose 2*v - m = -r, -3*v - 5*r = -6*v + 31. What is the greatest common divisor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 74883.\nAnswer: 74886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6909 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byynybynyyybbybybbb. Give prob of sequence bnb.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 - 12*y + 40. Let b be z(4). Suppose -b*o = -1464 - 824. Let f = 56 - 30. What is the greatest common divisor of f and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.98 * 2\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -73.1. What is the closest to 1\/2 in s, 0, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*r - 28, 4 = r + r - u. Suppose 4*a - 23 = 5*k, 3*a - 17 = -r*k + 8. Solve 0 = 2*h + a*h - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, h: 1}. Give prob of sequence hm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - (255 - 11))*8. Do n and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:06 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/((-1749)\/33))\/((-2)\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 483*r**3 - 17*r**2 + 9*r - 5. Let c(l) = -965*l**3 + 34*l**2 - 21*l + 8. Let z(t) = 3*c(t) + 7*s(t). What is the third derivative of z(d) wrt d?\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*j**3 + 232*j**3 + 3 + 5*j**2 + 2*j**2.\nAnswer: 86*j**3 + 7*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 229, -708 in decreasing order.\nAnswer: 229, 0, -1, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3599393 + 3599393 + 72*y**2.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/3 + 2*z**3\/3 + 8*z**2\/3 - 8*z\/3.\nAnswer: -2*z*(z - 2)*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889228355?\nAnswer: 5, 67, 103, 25771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t = 257*t - 440 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + (-20602)\/910. Let p = 111\/5 + v. Suppose 0 = -k + q + 4, -70*k + 8 = -65*k + q. Which is the nearest to k? (a) p (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-1))\/((-147)\/(-14945)). What is the greatest common factor of 70 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 2, g: 1, c: 1}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, -3, 0.3, 0.118?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - ba?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 2*v**2 + 2*v + 3. Let f(o) be the third derivative of -o**5\/60 - o**4\/24 - o**3\/6 - 8*o**2. Determine -2*f(c) - n(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6 + (-102)\/(-18) + -5. Suppose -a*m - 7 = -11. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603544 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/17 - 8375608*d\/17 + 16751208\/17.\nAnswer: 2*(d - 4187802)*(d - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/12 - 29*i**2. Let h(a) = 4*a**2. Determine f(h(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -166.\nAnswer: -3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91.02 - 0.4.\nAnswer: 90.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -675167 + -1?\nAnswer: -675168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: (30\/(-32))\/((-51)\/(-340))*(-924)\/105\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 54, 114, 208, 342, 522, 754, 1044?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -66\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 92. Solve 0 = 4*w + d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61359 >= 1.015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9009824 - -0.9.\nAnswer: -9009823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*y - 4*v, -4 = y - 2*v. What is the least common multiple of 9 and (-1 + y)\/(1\/(-4))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2688, 24 in ascending order.\nAnswer: -2688, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a - g - 2819998, a + 564010 = 5*g. What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1 (b) 1092 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1382\/3)\/(88\/1287 + (-6)\/(-39)).\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1303567, 7, -2 in descending order.\nAnswer: 1303567, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 1. Let z be o(1). Let 2\/9 - 2\/9*s**3 + 2\/9*s - 2\/9*s**z = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g. Suppose -2*x + 5 = 9. Let c(n) = -6*n**2 - 5*n. Let y(b) = x*c(b) + 11*t(b). What is the second derivative of y(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -126, -281, -504, -801, -1178, -1641?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-50) - 6\/(-10). Suppose -c + 0*c - 4*y = 7, -3*c + 3*y + 24 = a. What is the second smallest value in -0.1, 0.5, -3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*b**3*t**4 - b**3*t**3 + 8*b**3*t**2 - 4*b**2*t**2 wrt t.\nAnswer: -3264*b**3*t - 6*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - 24?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 5*s + 37, -2*g - 3*s = 7. Suppose 0 = g*p - 3*m - 731, -3*p - m = -8*p + 911. List the prime factors of p.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207243 = 207169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*k + 3*k = 0, -12 = -2*p - 4*k. Suppose 5*m = 4*i + 3535, 7*i = p*i - m - 4455. Round i to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.892 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 8*c**4 + 4*c**2 + c - 5*c**2 - c**4 in the form n + f*c**2 + b*c**4 + p*c**3 + y*c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 31*b - 5. Let i(y) = -15*y + 2. Give -2*g(l) - 5*i(l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 - 13\/(988\/344). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468056724.\nAnswer: 2, 16787, 21863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57979 is divided by 1620?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = 2*b. Let z = -4 + b. Let x be 4\/14 + 68\/7. Calculate the greatest common divisor of z and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, 1 g, and 1 c when four letters picked without replacement from {u: 2, c: 2, d: 1, x: 2, t: 2, g: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 218 = -x + 103 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1030*h**2*y**2 + h**2*y + 30*h*y**2 + 1789*y wrt y.\nAnswer: -2060*h**2 + 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1458) + 1 + sqrt(1458))**2 - ((5*sqrt(18)*2 - sqrt(18))\/(sqrt(144) - (-2*sqrt(144) + sqrt(144) + sqrt(144))))**2.\nAnswer: -46745\/8 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*i - 11 + 11 - 633*i.\nAnswer: -1107*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -4.98. Let d = 11849 - 11849. What is the closest to 1 in 4, d, n, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374373 is divided by 625.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)*-3)\/(sqrt(100)*2) + (-6*sqrt(24)\/(sqrt(64)\/(sqrt(8)*3)))**2.\nAnswer: 3*sqrt(3)\/5 + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*n + 19 = 0, r + n = 6*n - 1. Suppose r = q + 13. Suppose -5*i = -3*f - 5, f = -4*i + 3*f + 2. Is q smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 1050.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*r = -176, -7*h - 5*r = -2*h + 180. Let i = 36 + h. Is i\/3 - ((-4805)\/15 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Suppose 0 = 5*w - t*w - 50. Calculate the least common multiple of w and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -125*s + 3. Let w(v) = -750*v + 19. Let k(f) = 34*n(f) - 6*w(f). What is the units digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/20 + 6\/5. Suppose 5*h + 0*w = -4*w + 42, 0 = -5*h + w + 27. Suppose 0 = 2*v - 4*q + 12, -h*q + q + 22 = v. What is the nearest to m in v, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*-6*(-3 + (sqrt(1872) - ((0 + sqrt(1872))*-1)**2))*-5.\nAnswer: -1080*sqrt(13) + 168750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 5081*h - 4056288 = 0 for h.\nAnswer: 992, 4089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/31 or -2?\nAnswer: -29\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v)\/v**2)**38\/(v**(-4)*v**(1\/4)*(v\/v**(-6)*v)\/v*(v\/(v*v**6))\/v) assuming v is positive.\nAnswer: v**(-745\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 251 = 4*y, 16*y - 230 = 12*y + 2*z. What is the smallest common multiple of 696 and y?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 21, 17, -7, -57?\n\"Answer: -k**3 - k**2 + 20*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o = -w - 6, 4*w = 2*o + 12. Suppose 2*t + w*t = -2240. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g**2 + 88*g - 635. What is the lowest common multiple of 294 and a(8)?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Suppose 5*t - 3*t + 20 = 5*h, 4*t = 5*h - 30. Suppose 2*i + 2 = -a, a = 4*a + 5*i + 4. Let b(q) = a - h - 3*q. What is b(x(p))?\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089689?\nAnswer: 101, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 14*n**2 - 127*n + 1777. What is r(15)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 - 46*x**2 + 4 - 4*x - 21*x**3 + 3*x + 66*x**2 - 18*x**2 to k*x**4 + l*x + s*x**3 + f*x**2 + t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**5 + 155*w**3 + 21*w**2 - 40396*w.\nAnswer: -20*w**3 + 930*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-312)\/(-20) + 2\/5. Sort -2, s, 0 in descending order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/729 and 119\/536544?\nAnswer: 536544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102221 (base 3) to base 8.\nAnswer: -502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 264, 265, 266, 267?\n\"Answer: l + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 < 1609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5 + 274*p**4 - 5282*p**3 + 25486*p**2 + 5284*p - 25760 = 0.\nAnswer: -1, 1, 8, 14, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582\/17 or -98060?\nAnswer: -98060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -13.\nAnswer: -13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 12.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1224 divided by 36\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -298386 + -380?\nAnswer: -298766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.677024 to two dps.\nAnswer: -44.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 13 = -5*x, -5*n = -2*x - 9 - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2376\/(-363))\/(77\/(-847))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -340*a + 346*a - 4356. Let i = a - 2927\/4. Calculate the common denominator of i and 77\/218.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*q**3 - 4*q**2 + 169*q + 1 wrt q.\nAnswer: -774*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:07 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 11*b + 20. What is the units digit of l(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10987288 divided by -6.\nAnswer: -5493644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -3*z. Suppose 3*k - 2 - 28 = 3*i, -k + z*i = -20. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 524 - 514.24. Let y = j + -9.75998188. What is y rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34892 is divided by 397?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-91)\/105 + 1 + (-217690)\/(-825). Which is smaller: 255 or i?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -637 (b) 5 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 12*s**2\/5 - 17*s.\nAnswer: s*(s - 17)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*d + 7\/10 + 1\/10*d**3 + 9\/10*d**2.\nAnswer: (d + 1)**2*(d + 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 0, m - 3*p = -2*m + 114. Suppose o + o = 4*u + 12, 0 = 5*o + 2*u - 54. Calculate the remainder when m is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -0.3 (c) -1\/8 (d) -1\/3 (e) -277 (f) 186 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/8601 or -1?\nAnswer: -2\/8601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-1)\/(-6)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 797646*t**2 + 53011951083*t - 1060558104060 = 0. Calculate t.\nAnswer: -132951, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 91472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*f = -500*f - 184*f - 23641 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-7) + 954\/21. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 542 + -531.8. Which is greater: 16 or t?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*d - 11017, -2*k + 22038 = 4*d - 7*d. What are the prime factors of k?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllrglglecueulgl. What is prob of sequence uc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*v + 94*v - 30 + v**2 + 94*v in the form b*v**2 + a + m*v and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/(v*v\/(v**4\/v)*v*v)*v**0*v*v*v**(-6))**(-42) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*v + 118*v - 85*v)*(-2*v**3 + 0 + 0).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940209?\nAnswer: 3, 29, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 445\/9 or 0.028?\nAnswer: 445\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 21. Let z(l) = l**2 + 8*l + 3. Let x be z(w). Is 13 a factor of 207\/4 + (-1)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 2316768.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqkfkqkfffk. Give prob of sequence kq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*m - 119*m + 5*m)*(-4*m + m**2 + 4*m) to the form p*m**3 + o*m + j*m**2 + f and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 69567.5 to the nearest one thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.297 and 2.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254747607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -26, -4, 5 in decreasing order.\nAnswer: 5, 2, 1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333 by 4.\nAnswer: 333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.03 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30643 = -72*b + 124027. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(2016\/(-16)))\/(4\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -22. Let h be (-9)\/(-6)*2*5. Suppose 3*d - 3*o + h = 0, -3*d - o - 19 = -2*o. Does d = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (16 + 19\/(1330\/(-1132)))*(8 + -3)?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 36603*r. Let m(c) = -7*c. Determine -k(u) - 6972*m(u).\nAnswer: 12201*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*a**2*f**3 + 2*a**2 + 6*a*f**3 - 73*f**3 wrt a.\nAnswer: -18*a*f**3 + 4*a + 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 63) + (-222)\/(-20)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.4052 kilometers in nanometers?\nAnswer: 440405200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 72 = i. Suppose -3*w = -10*s + 15*s - 399, 0 = -5*w + 15. Let f = i + s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) + (sqrt(225) - ((sqrt(225) - sqrt(225)*-2*2) + sqrt(225))))*-6)\/(sqrt(135)\/(sqrt(560)\/sqrt(7))).\nAnswer: 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 27 + -17 + -33 + 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -30, -21, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 = 16*u - 23*u. Let t = -200 - u. What is the remainder when 61 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5 + 504*b**4 - 11370*b**3 - 1066752*b**2 + 15881325*b + 16936200 = 0.\nAnswer: -40, -1, 15, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/120 - l**5\/60 - l**4\/24 - l**3\/2 + l**2. Let c be t(0). Does 20 divide (-8)\/6 + (-79)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -49, 496, 1601, 3452, 6235?\nAnswer: 10136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-13 + 2 + 5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*j**2 + 1853*j**2 - 1020*j**2.\nAnswer: -86*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6950, -27429, -61318, -108419, -168534, -241465?\n\"Answer: 33*o**3 - 6903*o**2 - o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -162d + -349a?\nAnswer: -4ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/63 and -61\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3\/5, -4 in decreasing order.\nAnswer: 3\/5, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.1824756us?\nAnswer: 0.000000000141000875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/20 - 7*x**4\/12 + 5*x**3\/6 - x**2 + 322*x. Calculate w(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 760791719 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29851129 and 770?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(5\/(-2)*148\/(-2775)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, h: 1, l: 2, s: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*(3 + -8)\/(-5). What is the second derivative of o*z - 2*z - z**2 + 2*z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2\/4)\/((-4)\/(-80)). Let x = 61 - m. Solve -3*s - 20 = d, 21 = 5*s + d + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 30. Let r(d) = d + 31. Suppose -4*b = -5*n + 9, 0 = -4*b - n + 15 + 6. Give b*r(a) - 5*w(a).\nAnswer: -a - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 4*c**6\/15 - c**5\/60 + c**4\/4 - 5*c**3\/6 + 8*c**2. Let l be a(5). What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62914 greater than 62915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11799215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from iclliiililfl?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(10)\/sqrt(5) + -2).\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 10. Let c(d) = 104*d**2 + 6*d + 2. Determine c(p(o)).\nAnswer: 3744*o**2 - 12444*o + 10342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-1\/3))\/i*i*i**10\/i*(i\/(i\/(i\/(i**(7\/2)\/i))*i))\/i*i**(-4\/3))**(-45) assuming i is positive.\nAnswer: i**(-585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjljtjjjljmjmjjlj. Give prob of sequence jj.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -113560 times -0.5\nAnswer: 56780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 48 = -4*r - 175*g + 178*g, 2*r + g = -22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 13*f**2 - 39*f + 16. Is t(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10501*y - 7. Let x be r(2). Let t = 29896 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103423701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h**(4\/7)*(h*h**(-1)*h*h)**(-32))\/((h*h*h**(1\/3)*h)\/(h*h**(-3\/4)))**(-1\/6) assuming h is positive.\nAnswer: h**(-31877\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 53*k**2 - 20*k + 8. Determine t(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 25 = -2*s. Let h(b) = -3 + b + 2 + s. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202 + -12100?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9186*o - 852*o + 10364*o + 226*o - 3269*o in the form d*o + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 362241+15\nAnswer: 362256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8313525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 8*y + 10. Let f be t(-8). Let p = -268 + 268. Solve -2*s + f = 0, p = -4*c + 2*s + s - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.744 + 0.044. What is i rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 3*c**3 + 0*c**3 + (-9*c**3 + 2*c**3 + c**3)*(-2 + 0 + 0) - 2 - 2*c**3 + 2.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278 divided by 52782.\nAnswer: 139\/26391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = 2*p, -3*p + r + 1 - 9 = 0. Which is smaller: -2\/2599 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -41. Which is smaller: b or 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 4 - 4 + (0*u + 3*u - 2*u)*(-6*u**2 + 0*u + 0*u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = 100. Suppose 0 = 7*q - 0*q - k. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*k + 47*k + 39*k)*(4*k**3 + 2*k**3 - 12*k**3 + 1).\nAnswer: -306*k**4 + 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*g - g - 2)*(2 + 1 - 5)*(17*g - 16*g + 25*g).\nAnswer: 260*g**2 - 52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 6269 - 1069 = -206*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 - 29 + i**4 + 16 + 2*i**2 + 14 + 2*i to the form s*i**4 + t*i + o*i**2 + z*i**3 + q and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4375041 and 16\/3927.\nAnswer: 520629879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0408 - -213648427\nAnswer: 213648426.9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 8 (c) 26950829\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 5. Let l(m) = -m**3 - m - 4. Let j(q) = -4*l(q) - 3*v(q). Let b be j(1). Let s(d) = -d + 0*d + d + b*d. Let h(n) = 2*n. Give 3*h(i) - s(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -4*f - 8, 2 = -o - f. Solve -3*l - 4*i - 9 = -0*l, 0 = o*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 196162 divided by -11.\nAnswer: -196162\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 8 + (-20 - -20) + -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-21 + 28 - (0 - -16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 5*x**4\/4 + x**3\/6 + x**2 + 2. Let h(w) be the second derivative of z(w). What is the tens digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/80*30\/(-27))\/10\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -4*v. Suppose 2*l + v*t = 99 + 17, -116 = -2*l - 5*t. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/7 + 100620*y - 8858836350 = 0.\nAnswer: 176085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 902246280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**3 - 27*y**2 - 3*y + 1. Let h(a) = -16*a**3 - 26*a**2 - 4*a + 2. Let c be -2*1 + (-6 + 2 - -4). Let w(f) = c*p(f) + 3*h(f). Factor w(n).\nAnswer: -2*(n + 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.507 + 100.207. What is s rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 306*f + 604.\nAnswer: 2*(f + 2)*(f + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gggvv.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007542034?\nAnswer: 2, 7, 19, 29, 43, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 7*r - 148. Let p = 75 - r. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -39 - 15 - 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(1*-2*sqrt(2)) - ((1*sqrt(45)*-4)\/sqrt(9))**2)*-5.\nAnswer: 5*sqrt(5)\/2 + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 73*x**2 + 18*x. Let d(z) = 5*z**3 + 151*z**2 + 39*z. Determine 6*d(u) - 13*s(u).\nAnswer: 4*u**3 - 43*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 269864290 to the power of 1\/2, to the nearest integer?\nAnswer: 16428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2528496090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)*x**(-7\/2) assuming x is positive.\nAnswer: x**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/4*30\/25. Suppose -i = -l*p - 8, i + 40 = 2*i + 5*p. Let j = -18 + 40. What is the lowest common multiple of i and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -11. Let u(y) be the second derivative of y**4\/6 + 5*y**3\/6 - 3*y**2\/2 - 15*y. What is the tens digit of u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 3*p**3\/2 - p - 9. Let b(j) be the second derivative of j**3\/3 + j. What is t(b(a))?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4567*w + 13871 - 14015 = -29788 - 6892 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 3*q, q = -h + 2*q - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 2*o**2 + 7*o - 51. Is 15 a factor of f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/60 and -1 + 2 + (-17 - (-45981)\/2880)?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1021 and -187499.\nAnswer: -191436479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 4108046.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*v - 6, -p - 5*v + 8 - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 14. Let k be 1\/(5\/2 + l). Calculate the greatest common factor of 6 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -134*a**2 - 4695*a - 177. Give v(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, -249, -747, -1269, -1821, -2409, -3039, -3717?\nAnswer: -4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 2*c**2 + 6*c + 4. What is s(-3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.5 - 102. Let d = -21 + f. Which is the smallest value? (a) 7 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -2 + 0 + (-1 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 14*g - 21. What is k(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 3*f + 6*f + (0 - 3 + 1)*(3*f - 3*f + 2*f) + 4*f + 0*f - 3*f + (2 + 4 - 3)*(-2*f - 2*f + 5*f) + (5 - 2 - 5)*(2 - 2 - 2*f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34244 divided by -1223.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = -0. Let z be (f + -12)\/((-1 + 0)*2). Solve 5*m + 3 + 17 = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:21 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863 times -0.04?\nAnswer: -74.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76106\/4127 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-12))\/(53\/(-30528)*45)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 19983 - 260857 = -29*z. What are the prime factors of z?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:12 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (-4 - (-8 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/7 + (447 - 439).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 87*z**2 + 1133*z - 226. What is g(-71)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = 3*u. Is 22 + (1 - 2)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 42 + 50)*(-3*g + 4*g + 0*g) to v + j*g and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487934, 3903799, 13175426, 31230695, 60997486, 105403679, 167377154?\nAnswer: 249845791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 26*t = 61*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -856.54 + -22725954.\nAnswer: -22726810.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3845a + 1?\nAnswer: 38460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 3*s - 4*s + (4 - 4 - 1)*(3 + 2*s - 3) + 4*s - 2*s - s - s + 0*s + 2*s)*(-265*s + 271*s + 1 - 4) to u + o*s**2 + j*s and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -93825888 divided by 24?\nAnswer: -3909412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2. Let g(q) = -q**2. Determine g(r(l)).\nAnswer: -81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c + -3?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52aa74 (base 11) in base 3?\nAnswer: 1121010210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 4\/17 (d) 2 (e) -11889 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13711729, -27423458, -41135187, -54846916, -68558645, -82270374?\nAnswer: -95982103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**9\/3024 - m**6\/360 + m**3\/3 + 3. Let h(z) be the third derivative of b(z). What is the third derivative of h(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10383000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70326 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 + 115. Let w = 76 + y. Suppose -w = -5*z + 18*z. Let d(p) = p**3 + 2*p**2. What is d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**2 - 9*p**2 + 8*p**4 - 21*p**4 wrt p?\nAnswer: -312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**5 - 7*h**4 + 5595*h**3 + 12773*h**2 - 1781.\nAnswer: -420*h**2 - 168*h + 33570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 22. Let t(j) = -j - 9. Determine t(b(s)).\nAnswer: -2*s - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:42 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -11) + -2 - -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137505 divided by -4\nAnswer: -137505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 + 29*y - 22. List the prime factors of t(16).\nAnswer: 2, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/2 + 131\/3. What is the closest to -1 in 0.2, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -846, -3, 0.5, 2\/5, -1.02, 6 in descending order.\nAnswer: 6, 0.5, 2\/5, -1.02, -3, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 628560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-10)*(t**(-1\/4))**(-1\/5) assuming t is positive.\nAnswer: t**(201\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6954 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + 3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/13)*b**(-1\/2)*(b**(-6\/17)*b)**4)**(-40) assuming b is positive.\nAnswer: b**(-16420\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + g + 10. Let y be 3 - 1\/(3 + g). Solve b - 5*c + 28 = 0, -y*c - 1 = 2*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -7, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 13) + (62 - 53)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 467469986.\nAnswer: 4207229874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1683, 4, -1, 1, 66, 10 in increasing order.\nAnswer: -1683, -1, 1, 4, 10, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17475, 32495, 47515, 62535, 77555?\n\"Answer: 15020*f + 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*k - 117*k + 43*k + (-7 + 2 + 3)*(0*k - 2*k + 4*k).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.06 - -52.96. What is the third biggest value in 58, u, -3\/7, -4, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**2 - 13*l - 34. Let c(x) = 15*x**2 - 28*x - 69. Let v(q) = 6*c(q) - 13*d(q). Give v(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1283, -2573, -3863, -5153, -6443?\nAnswer: -7733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 922 - 814. Calculate the remainder when f is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -599, -1202, -1805, -2408?\n\"Answer: -603*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3, 0.5, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38 less than 1112751861?\nAnswer: 1112751859.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*s + 28*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1\/5, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143407114793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1. Let q be -22 + ((-6816)\/13)\/(-24). Put -5, q, b, 0 in descending order.\nAnswer: b, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2\/((-16)\/(-12))). Let m be (-5 + 1)*(r - -1). Suppose -m*s = -2 - 46. What is the lowest common multiple of s and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12148787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -137.3 and -38184.5695.\nAnswer: -38321.8695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103403*m**2 + 0 + 3 - 5 + 1.\nAnswer: -103403*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -121?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 87 = 11*a. Let o(s) = s - 4. Suppose -9 = -5*c + 6. Let x(b) = 11 + 3 - 3 - c*b. Determine a*o(q) - 4*x(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 27*q - 156. Calculate the remainder when o(-7) is divided by ((-13)\/3)\/(1\/(-6)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/14)\/((-11)\/(77\/6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:27 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11066.7189 + 0.08.\nAnswer: 11066.7989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2266, 4564, 6966, 9544, 12370?\n\"Answer: 12*o**3 - 20*o**2 + 2274*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/sqrt(6) + -5 + sqrt(8) + (sqrt(200) + -4 + (sqrt(200) - sqrt(200)*3) + sqrt(200))**2.\nAnswer: 4*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 70. Let h = -12 + d. Suppose -r = h*n - 0*r + 77, n + 5*r + 25 = 0. What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r**2 + 3*r)*(0 + 2 - 1)*(-188*r**2 + 483*r**2 - 233*r**2).\nAnswer: 124*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9 + (-220)\/(-30))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2188 divide 5704116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x**2 - 1 + 1.\nAnswer: 79*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -2616072.\nAnswer: -2616072.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -11101?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 4, -275, 0.1, -16562, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**4 - y**3 - 6. Let h(c) = 273*c**4 + 13*c**3 + 2*c**2 - 439*c + 18. Let a(w) = h(w) + 3*j(w). Find the third derivative of a(l) wrt l.\nAnswer: 6480*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 42. Let u = 39 - p. Let j = u - 26.45. What is j rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 0*g + 2)*(6 - g - 6).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhahhheeuj. Give prob of sequence jua.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 15 = 5*m - 5*t, -4 = -2*m - g*m + 3*t. Let o = m + -7. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.5 + -50. Which is the third smallest value? (a) 1 (b) 2\/23 (c) -0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (-4 - 6)\/(-5). Let x(o) = -5*o - 2. Let z(u) = -10*u - 4. Give w*z(r) - 11*x(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d + 18. Let l(y) = 89*y**2 + 6. Let b be l(3). Is (0 - 2)*b\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -10 - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126472491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - s - 59 = -48, 4*b + 3*s - 51 = 0. Solve 24 = -2*n + b for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10768*u**2 + 112. Let l(f) = -291*f**2 + 3. Let z(o) = -112*l(o) + 3*x(o). Let y(n) = 2*n. What is z(y(v))?\nAnswer: 1152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/6 - 9*r**2\/2 - 2*r. Let s be m(7). Let g be 90\/(-25)*5\/s. Solve 0*k - 3*k - g = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7970.053 nanometers to centimeters.\nAnswer: 0.0007970053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:38 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Suppose 0 = 8*s + 19*s + 1539. Let d be (-4)\/(-16) - s\/12. Sort d, 2, u, 6 in increasing order.\nAnswer: u, 2, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 27 + -10 - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 - -145. Let z = -12 + 46. What is the smallest common multiple of z and v?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 16*s + 21. Give n(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123222312 (base 4) to base 3.\nAnswer: -12202110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-4 + -1 + -3 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 3, e: 1, h: 1}. Give prob of sequence hej.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16\/8*(-7)\/(-7))\/(22\/(-3))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/144 and 64\/629313.\nAnswer: 30207024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 - 3*g + 5*g**4 + 3*g**4 - g**3 to f + x*g**4 + i*g + q*g**2 + j*g**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/10 and 31\/389?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 110926, 111076, 111218, 111352, 111478?\n\"Answer: -4*o**2 + 162*o + 110768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 - 2*p**3 - 5*p**2 + 100*p\/3.\nAnswer: p*(p - 5)**2*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4168001 + 1902*j - 4168001 to the form d*j + w and give d.\nAnswer: 1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -51, -48066 in descending order.\nAnswer: 3, -51, -48066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 27*d - 28. Let v be u(-2). Let w = -290 + 414. Let n = w + v. Calculate the greatest common divisor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120)*1 + sqrt(120)))\/sqrt(8))\/(-1*-3*sqrt(3)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4318 + 46650\nAnswer: 50968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f43 + 2?\nAnswer: -1f41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (79 - -1)\/(3 - 4). Let r = i + 112. Suppose 4*t = -0*t + r. What is the least common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 80*q**2 - 22*q**2 - 182 + 101.\nAnswer: 58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1698692 or -1.83?\nAnswer: 1698692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/247, -1\/7, 2, -42, 1?\nAnswer: 1\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 26 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/75 + 31\/225. Let b = -1\/181 - -375\/2353. What is the closest to -1 in -1, b, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 - 203. Sort 2, i, -3, -1.\nAnswer: -3, -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x + 5. Let c(f) be the first derivative of 10*f**2 + 8*f + 20. Determine 5*c(a) - 8*d(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 6. Let l(r) = -21*r - 21. Let w(i) = 18*j(i) + 5*l(i). Let s = -91 + 95. Calculate w(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 25*w**2 + 95*w + 256. Give k(-3).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -k + 2, 0 = 133*q - 128*q + 6*k + 54 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.37, 0.5, -3, -28.43 in descending order.\nAnswer: 0.5, 0.37, -3, -28.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23991 and 333003?\nAnswer: 242093181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 0*i**2 - i**2 + 0*i**2 + 6 - 8*i. Let z be c(-6). Suppose 16 = z*o - 8*o. Solve 0*r = o*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 115 = 27. Let d = z + 80. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.13574 millilitres in litres?\nAnswer: 0.02913574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 35. Let t be i(7). Is t > -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Suppose -p + 25 = 3*x. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -175 and 11923?\nAnswer: -2086525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/30 and 19\/265.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*w + 4*n - 28, -9 = -3*w + n. Suppose -3 = w*z - 91. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588444 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -300*y**2 + 1376072*y\/3 + 42812\/3 = 0.\nAnswer: -7\/225, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 2. Let t be r(4). Let k be (-94)\/t + 16\/(-120). Sort -1, 4, k in descending order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f + 1. Let l be ((-3)\/((-12)\/8))\/2. Let g(u) = -12*u + 20*u - 10*u. Let k be g(l). What is w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135886.7406 + 135839. Let a = b + 47.7. Round a to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*s + 5*w - 15 - 98 = -240*s, w + w = -4*s + 186 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -3\/4, 161, -6, 4\/17, -3, 2?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72 - -6)\/13 - 6. Solve t + i = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.23 - 0.1\nAnswer: -25.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 25 (b) -0.3 (c) 641142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85438599 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*x + 780*x + 1803 = -656*x + 57603 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 4936*h + 4932 = 0. What is h?\nAnswer: 1, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02396 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:06 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 4*l + 5*l)*(-102*l - 123*l + 7 + 210*l).\nAnswer: -60*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101390 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/10)*u)\/(u*u*u\/(u\/((u**(1\/3)*u)\/u*u))))\/(u**(-1)\/u)**(-24))\/((u**(-4)\/(u**(-2)*u))\/(u**(-1\/3)*u)**42) assuming u is positive.\nAnswer: u**(-571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1957*m + 85 = -1974*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/45 - ((-118)\/(-90) - 1090\/981)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 7)*(-2*n - 2*n + 2*n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-3) - (-644)\/115. Which is the nearest to 0? (a) -3 (b) p (c) -0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -236097052234601 and 5?\nAnswer: 236097052234606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 97 - (2 + -67).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + 2.5. What is the smallest value in 0.21, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 2549147.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c - 4*c - 4*c to the form y*c + h and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 2 - 40*t - 13*t - t**3 - t**2 + 20*t. Calculate x(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 356, 381, 426, 497, 600?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**6\/40 - x**5\/10 - x**2 + 3*x. Let n(l) be the first derivative of d(l). Factor n(o).\nAnswer: 3*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, 55.\nAnswer: -3, 27, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 33827888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256\/3943 or 0.1?\nAnswer: 256\/3943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30))\/((75\/(-4))\/(-3) - 6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4327 + -4326.96. What is the smallest value in 0.4, -15, 0.2, t?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let f be 3 + -3 + (-16)\/(-2). Let b = -6 + f. Solve 4*h - z = -b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558321749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 8) in base 3?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -6 + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i + 2 + 17 + 144*i - 29. Is l(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7692211 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*z + 87 = 0, 90*m = 93*m + 4*z + 88 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -10 - (-1543 - -1534)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + d = 1817, d = 4*o + 2*d - 3629. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + f**2 - f**2 + (-f - f + 4*f)*(-f - 3*f + 2*f))*(69 - 81*f**2 - 70 + 261*f**2) to the form q*f**3 + i*f**4 + s + n*f + o*f**2 and give i.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 499162 and 1992?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m + 3. Suppose l - 3*j - 12 = 0, -2*l + 1 = -2*j - 11. Let x(z) = 2*z**2 + 11*z + 7. Let o(f) = l*x(f) - 7*i(f). Determine o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/4))**(8\/3) assuming a is positive.\nAnswer: a**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 1\/105*f**7 + 0*f**3 + 19\/30*f**5 + 28*f**2 + 0*f**4 + 17\/120*f**6 - f. Find the third derivative of a(h) wrt h.\nAnswer: 48*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323217.\nAnswer: 3, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h**2 + 5*h - 5*h)*(4*h - 4*h + 2*h)*(-2 - 1 + 5 + (2 + 1 - 2)*(-1 + 5 - 5) - 1 - 2 + 4) as a*h + c*h**3 + x + u*h**2 and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 19, -3, -11, -4 in descending order.\nAnswer: 19, 0, -3, -4, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1188) + (sqrt(1188)*-2 - sqrt(1188)) - sqrt(1188)) + sqrt(33))\/((1*sqrt(44))\/sqrt(4) + sqrt(11)).\nAnswer: -17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = t + 98 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/14767 - -413346\/959855. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1536 - 44233249.34\nAnswer: -44234785.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52861518 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (15 + (-24 - 10 - -14)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845 - 10695 = -22*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.20584 and 2020.\nAnswer: 415.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 103.7643 and -0.2.\nAnswer: -20.75286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 777 + -750. Let d(o) = -11*o - 1 + 0*o + 4 - r*o - 4. Give d(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8659 = 29*w - 11907. Solve -v = 15*v - w for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(539)*2 + sqrt(539).\nAnswer: 1 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2*q**2 - 82*q**3 - 41 - q**2 + 7*q**2 + 2*q + 55*q**3 to n*q**2 + m + f*q + h*q**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 5238?\nAnswer: -5230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -2005.\nAnswer: 9\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335002?\nAnswer: 2, 17, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*q - k - 247 = 0, 2*k = -5*q + 1200. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -483*v**4 + 46860*v**2 - 21*v - 6334607 wrt v.\nAnswer: -5796*v**2 + 93720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -115*k + 1116. Let p be s(10). Sort 4, 2, -5, p in decreasing order.\nAnswer: 4, 2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (4014351\/(-122808) - (-12)\/17)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-1 + 0))\/(30\/21). What is the smallest value in 5, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w + 450. Let c be z(-32). Solve c = 2*q - 4*f, 0 = -4*q + 4*f - 3 - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/12*8\/12. Let n = 2807.99 + -2808. Which is the nearest to n? (a) -2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8474 + 8533 - (0 - 90)?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17785, 17787, 17789?\nAnswer: 17791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1545 by 103.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 57, 90, 127?\n\"Answer: 2*z**2 + 23*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 1. Let t = 2 - -1. Let w(j) = -j. Let r be w(t). Let v(n) = 5*n - 3. Determine r*v(s) + 8*u(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26 = 2*l + 2*s, 5*s = 20. Let z be 2*(3\/(-15) - -2). Is z >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 50*k**2 + k + 52. What is the least common multiple of 48 and q(-50)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.83 to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -53*x + 1877. Give b(35).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2602994, 2602992, 2602990, 2602988, 2602986?\n\"Answer: -2*g + 2602996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 4*f**2 + 16*f + 1. Let l be a(9). What is the greatest common divisor of 50 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 49*i + 47. Is o(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/127, 4?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -14691067?\nAnswer: 14691063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -111, -41, 99, 333?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -6.2. Let f = 1.4 + r. Let o = -3\/92 + 469\/276. What is the third smallest value in f, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5714*k*q - 2*k + 159099*q wrt k.\nAnswer: -5714*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 78*p**3 - 2*p**2 + 3*p - 2. List the prime factors of x(1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.004 - -8.771. Let y = 298.033 + -298. Let q = y + l. Round q to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 18) + (314 - 283).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2554070*y - 4 - 2554077*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:10 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3\/(3*-1). Let i be 6\/9*g\/(-2). What is the units digit of 2 - (0 - (i - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/23916 and 23\/8.\nAnswer: 47832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.93 + -0.9. Let u = 3.97 + w. What is the third smallest value in u, 0, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1231.\nAnswer: -3, -1, 1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -16, -25, -36, -49, -64?\n\"Answer: -h**2 - 4*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 37 - 4 + 6*n)*(5*n - n - 3*n).\nAnswer: n**2 - 41*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(3\/(-12)*4)*-3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 + 5 + 21*w**2 - 13 + 3 wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/398692 and 121\/9820.\nAnswer: 1993460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18456 + 18457. Put 0, -1, 0.1, q, -3\/1274 in increasing order.\nAnswer: -1, -3\/1274, 0, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 13) in base 12?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**2 - 13*k - 13. Let w(i) = -5*i**2 + 6*i + 6. Let v(h) = 2*s(h) + 5*w(h). Calculate v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/624)\/((-16)\/(-192)*-2)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 776*h**3*i**3 - 334*h**3*i**2 - 23*h**3 - 532 wrt i?\nAnswer: 2328*h**3*i**2 - 668*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-5220)*(-4)\/2)\/(6\/18)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*x**2 + 2*d**2*x + 4*d*x**3 + 2*d*x - 4*x wrt x.\nAnswer: 2*d**2 + 24*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29370 is divided by 1087?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*j**3*p*t + 2*j**3*p - 67*j**3*t - 2*j**3 - 2*j**2*p*t - j**2*t + 9*j*p*t - 2*p*t - t wrt j.\nAnswer: -150*p*t + 12*p - 402*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 3944 = 162*a + 2235 + 2844 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (444\/45 - 4))*(-18)\/(-12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -2, 173, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(1584) - (sqrt(44)\/sqrt(4))**2*-5) + (sqrt(1331) - (sqrt(1331)*-1*-2)**2) + (sqrt(1331) - 2*(1 + sqrt(1331))) + 4.\nAnswer: -5272 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 9, z: 2}. Give prob of picking 2 z and 2 r.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-2)) + 16\/(-7). Let u = 226.1 - 226.3. Suppose -2 = -4*y - 6. Which is the biggest value? (a) 7 (b) s (c) y (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9)\/(36\/270*-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*c = 408, -3*a + 5*a + 3*c - 184 = 0. Suppose 0 = -3*f - 12, -2*k + 34 = f + 3*f. What is the remainder when a is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31270 divided by -5.\nAnswer: 6254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.06 + 0.06. Let s = 0.7 - 0.7. Let c = -5 - s. Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/15925 and 19\/9555.\nAnswer: 47775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0322783 take away -121.7?\nAnswer: 121.7322783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*s**2*t*u - 104399*l*s**2 - 2*l*s*u - l*t - 43*s**2*u - 2518*s*t + 209*t*u wrt s?\nAnswer: -2*l*t*u - 208798*l - 86*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*z = 8, 8*z - 3*z = 3*k + 20. Suppose m + 0*m - 1 = k. Let u be (-2 - -5)\/(m - 2). Is u != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*f + 8702 + 5182 = -846*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - t - 1. Let h(c) = 0*c + 0*c**2 + 7 - 5*c - 5*c + c**2. Let i be h(6). Let b = 16 + i. What is w(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z, 0 = -5*x - 2*z - 90. Let s(r) = 5*r**3 - r**2 - 21*r + 6. Let v be s(x). Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*k**2 - 25*k**2 + 20*k**2)*(-2 - k + 2) as y*k + t*k**2 + s + n*k**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.56 + -0.06. Let h = -9 - -7. Which is the closest to 0.2? (a) h (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -110632*o - 265. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1)\/(-1) - 0\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(468))**2 - 3*(sqrt(468) + -1)) + -5 - ((sqrt(65) + sqrt(65) + sqrt(65)*-3)*-1 - sqrt(65))\/(3*sqrt(245) - sqrt(5)).\nAnswer: -18*sqrt(13) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s + 3*j - 5*j, j = -3*s + 9. Suppose -u + 16 = s*u. Suppose 0 = 2*x, 40 = -0*p + u*p + 4*x. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 + -51 + 36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 16*l + 24. Let w be z(9). What is the third biggest value in 10, -1\/5, -3\/2, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718332582846106 + -0.3?\nAnswer: -718332582846106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d + 24*d = -38*d + 76 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898*m - 1013*m = 1095*m + 12180 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188179772*l**5 - 119731637*l**2.\nAnswer: 11290786320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/423629432?\nAnswer: -3\/423629432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145613501021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.13 - -3.1303938. Round d to five dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*r**3 - d*r - 279*d - 7*r**3 - 3*r - 103 wrt d?\nAnswer: 2*r**3 - r - 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.262 - 0.222. Which is the nearest to -1\/3? (a) 4 (b) 0.01 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4151064 divided by 4\nAnswer: -1037766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*f = 102989, y - f = 7372 + 44120. List the prime factors of y.\nAnswer: 13, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 204405456 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420000403 + -2?\nAnswer: 420000401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*o + 2175*o + 2166*o - 8711*o + 2150*o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340356592.\nAnswer: 2, 3, 7, 6965347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 149*h - 67*h**3 + 104*h**3 + 2*h**4 - 144*h to the form z + x*h + j*h**3 + b*h**4 + v*h**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -143, -223, -321, -443, -595, -783?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1581 + 1651 = -4*m, -2*m = -2*j - 42 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81490.\nAnswer: 2, 5, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k - 2. Let v be t(-2). Is v less than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccoc when four letters picked without replacement from bcbcodbcbodcbcbbccbo.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 42. What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 373 + -373. Which is smaller: b or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6720\/109 - -4202616\/68125. Let w = -40409\/5625 - c. Let j = 2\/1339 + -13412\/14729. Calculate the common denominator of j and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -965190 (base 12) in base 16?\nAnswer: -2434bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3)**45\/(f**(4\/5)\/f*f*f*f\/(f*f**(-2\/3)*f)*f) assuming f is positive.\nAnswer: f**(1988\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (990\/(-3267))\/((-9)\/891*9)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 1 + 3 = 0, 4*x + 4 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929828707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 16. Suppose -618 = -6*d + d - 4*g, -l*d + 3*g + 513 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2202)\/(-1))\/(-3)*6\/(-12). Let s = -224 + n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 418\/5 - 84. Suppose 12*f + 4 = 16. Suppose -y = -b + 2 + f, 2*b - 3*y = 10. Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -57254 and -57253 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8664, 17339, 26026, 34725?\n\"Answer: 6*z**2 + 8657*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11232.98? (a) 2\/5 (b) 0.06 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35518179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 7. Suppose p*l = 15*l - 8. Solve d + 10 = -l*v - 2, 2*d = -4*v - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10225 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8225\/2 + -4203. Let j = o - -128. What is the common denominator of 55\/12 + 1\/(-4) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1054 - -276?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 65\/20) + 1\/4. Let g(y) = 1 - 1 - 2*y. Let z(j) = 2*j. Let u(p) = w*g(p) - 4*z(p). Let c(i) = 2*i. Calculate c(u(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 = -80*d - 5*k, k - 5*k = 22 + 98 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-45)\/(-10). Suppose -5*f = -q*u - 1065, 0*f + 2*u - 1065 = -5*f. Calculate the common denominator of -39\/8 and (-1)\/((168\/f)\/4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347838083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5187966 or 5187980?\nAnswer: 5187980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2)\/((k*k*k**(1\/6)*k*k)\/k*k*k)*(k*k**(-1))**(-1\/42)*(k*k**0)**(-1\/15)\/(k*k*k*k*k**(-1))**(-39) assuming k is positive.\nAnswer: k**(3323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 1. Sort 0, -3, i.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away 58297.7?\nAnswer: -58314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let k be 10\/(-3*(-2)\/15). Let j = k + -30. Let h be j*(-2)\/10 + -2. Let b(o) = -6*o - 5. Determine h*b(i) - 5*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 70.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -9*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 - (3 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 36393861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1156 + 2088. Suppose 0 = -c - 4*v + 157 + 315, 0 = -2*c - 4*v + r. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 4. Let p be d(-3). Solve p*c - 4 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -3\/7, -4, -15370, 5.\nAnswer: -15370, -4, -0.5, -3\/7, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1162 (base 14) to base 5\nAnswer: -44101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 298240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from deuerkp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**2 + 77 - 77 + 5*n + 0*n**2 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7423, -0.4, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/147)\/(4\/14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + (-2 - 640\/(-14)). What are the prime factors of (-1)\/(1\/t*12\/(-48))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3066*h + 96153 - 77757 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 115*o - 15. Let y be w(0). Put -53, -5, 3, y, -4 in decreasing order.\nAnswer: 3, -4, -5, y, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 36. Suppose 3*h = z - f, z - 4 = -z - h. Is 8*((-75)\/(-5))\/z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2251*s + 49358. Give q(22).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1536 * 0.5\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (813\/(-4))\/(1029\/(-1372))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -18*b + 3. Let f(u) = -2*u**2. What is f(v(a))?\nAnswer: -648*a**2 + 216*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:50 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38724 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644475577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63255*-4.\nAnswer: -253020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -829, 2, -13\/5 in ascending order.\nAnswer: -829, -13\/5, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 + 0*o**5 + 0*o**4 - 5\/6*o**3 + 0*o**2 + 1\/21*o**7 + 0*o**6 - 4*o. What is the second derivative of i(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14002 = -1186*z + 15648 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose -5*o - 4 = -f - 4*o, -3*f + y*o + 10 = 0. Suppose f*z = 3*m - 63, 3*z - 29 = 4*m - 114. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170472545 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m. Let b(k) = -7*k. Let q(j) = -6*a(j) + 13*b(j). Suppose 32 = -5*y + 17. Calculate q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -278, -622, -1094, -1688, -2398, -3218, -4142?\nAnswer: -5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2.5 (c) -7 (d) 4 (e) -5\/3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*d**2*o + 258062*d**2 + 30*d*o - 962*d + 13*o - 6 wrt d.\nAnswer: -90*o + 516124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-6 - (-1*sqrt(200))**2.\nAnswer: -200 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:07 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83681719 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2551 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 42. Let l = a - -55. Suppose 2*n - l = 59. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357864\/310)\/(-148)*(-10)\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) - 5\/(245\/(-994)). Calculate the highest common divisor of d and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*t + 12*t**2 - 24*t + 2*t - 2*t**2 - 2*t + 3*t**2 + 0*t**2 - 2*t**2 - 3*t**2 + 2*t**2 + 0*t**2 + (-2 + 2 + 2*t)*(0*t - 3*t + t) + 0 + 2*t**2 + 0.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 656 - 2948*y**2 + 656 + 652 - 1966 in the form z*y**2 + k + q*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 679601.\nAnswer: 90\/679601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14195 - 14286. Sort -5, 0.1, i, -2\/5 in decreasing order.\nAnswer: 0.1, -2\/5, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17002747.11 and 14980.\nAnswer: 17017727.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:06 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6725*o - 12995*o - 5*o**2 + 6768*o to i*o**2 + u*o + f and give u.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.749 millilitres in litres?\nAnswer: 0.481749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 9071?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8412, 68135, 230442, 546621, 1067960?\nAnswer: 1845747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -4. Let t = 9 + x. Let i(b) = -b**3 + 7*b**2 - b + 3. Is 19 a factor of i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/83 or -1?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 40. Suppose u = -5*c + 45, 3*c - 5*u = -0*c - 1. Let d be l(c). Let s = d - 20. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507.3 + 92.4. Let c = o - -414. What is the third biggest value in 0, -4\/3, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let u be i(-1). Suppose u = 4*y - q - 5743, 2*q = -y + 6*y - 7181. List the prime factors of y.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 2*s**4 + 2*s**4 - 2*s**4 + 4*s**4 + s**4 + (4*s**2 - s**2 + 0*s**2)*(-2 + 2 - 5*s**2) + (-s**2 + 2*s - 2*s)*(1 + s - 1)*(s - 3*s + 4*s).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 1577, 3090, 5085?\nAnswer: 7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 4*m**2 - 5*m - 4. Let d be y(-3). Solve -d*q + 0*q + 3*p + 5 = 0, 3*q - 8 = 4*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 33777, -1.027, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*c**3 + c**2 + 32*c**2 + 11 - 33*c**2 + 0*c**2 in the form j*c**2 + k*c + f*c**3 + w and give f.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 - 3*t - 27. Let f(v) = -11*v**2 + 4*v + 36. Let x(g) = 3*f(g) + 4*l(g). Let b(y) = -38*y. What is b(x(u))?\nAnswer: -266*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m, -b = 3*m. Suppose 35*d - 3*p = 37*d + 1, 2*d - 2*p - 4 = b. Solve d = 3*k - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/11*n**2 - 6\/11*n + 1\/11*n**3 + 0.\nAnswer: n*(n - 1)*(n + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5075, -20163, -45109, -79751, -123927, -177475?\n\"Answer: 27*n**3 - 5091*n**2 - 4*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + (3 - 14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z + 2. Let v(y) = -674*y - 1680. Calculate o(v(q)).\nAnswer: 10784*q + 26882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*r**2 + 2*r - 40*r**2 + 52*r**2)*(2*r**2 - 3*r**2 + 3*r**2).\nAnswer: -56*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 95227*i + 47543*i + 47684*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350014787?\nAnswer: 739, 473633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 693*x**2 + 2768*x - 8. What is a(4)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**8\/56 + 7*b**4\/12 + 21*b**2. Find the second derivative of a(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 82*l**2 - 169 + 76*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 77, 113, 147, 179, 209?\n\"Answer: -t**2 + 41*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 42*m - 276. Let s be u(12). What is the greatest common divisor of s and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(42) - sqrt(252)\/sqrt(6)*6)\/(sqrt(270)\/sqrt(5)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((0 - -3) + 8\/(-4)). Let g be 10 - 4 - (-2)\/(-2). Put v, 9, g in decreasing order.\nAnswer: 9, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 104 - 108. Let c be ((-6)\/s)\/3*(37 - 9). Calculate the highest common divisor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10d4160 + 12?\nAnswer: -10d414c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.3, -9057\/50?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -4*a. Let z be 93 + a + 1 + -2. Let u be 37\/12 - (-92)\/(-1104) - -33. Calculate the highest common divisor of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100044 is divided by 1749.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 6*s - 3*s)*(-2 + 0 + 1) + (-5 + 6 + 0)*(9 - 9 - 3*s) as j + d*s and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, -5, 4.\nAnswer: -5, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 30*j - 42. Give o(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9300 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.487805094 and 2.\nAnswer: -1.487805094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 191 + 191.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**0*m))\/m)\/(m*m**(-7)\/m))\/(m*m*m**2)**(2\/43)*((m*m\/m**(-1))**(1\/40))**(-15) assuming m is positive.\nAnswer: m**(1613\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 201*l + 1 + 200*l + 3.\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*s - 2*b + b - 33, -17047 = -3*s + 1188*b + 22157 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 29\/6*f**3 + 23*f + 15*f**2. Differentiate d(g) with respect to g.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:57 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -839*x - 4237. Give t(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5982?\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.0246.\nAnswer: 0.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2. Let a(g) = -1068*g. Determine a(o(r)).\nAnswer: 10680*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 69 = 5*z - 5*l, 4*z + 3*l = 40. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054243051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1158 + 85. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let k(c) = 30*c**2 + 21*c - 21. Let i(z) = 3*z**2 + 2*z - 2. Let o(f) = -21*i(f) + 2*k(f). Give d(o(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 26*q + 173. Calculate the remainder when 439 is divided by k(19).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let u(f) = -5*f + 22. Let k be u(8). Let v(n) = 11*n. Calculate k*q(t) - 2*v(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x - q, 2*x - 26 = -x + 2*q. Solve 3*v + v + x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 254*l - 1. Let n(d) = -1626*d. Determine h(n(q)).\nAnswer: 7931628*q**2 + 413004*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 12*g - 14*g + 12 + 15*g. Let l be o(10). Suppose -5*n - l*b = -51, 5*n + 5*b = 2*n + 23. Calculate the remainder when 20 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 57. Let m = 50.946 + y. Let b = m - -2.054. Sort -1\/2, b, -2\/17 in decreasing order.\nAnswer: b, -2\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087 = -a + 3050. Let u = a - 802. List the prime factors of u.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69084844 to the power of 1\/2, to the nearest integer?\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*b - 2 = 0, 19*b - 8 = 23*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43040)\/22058 + 4\/(-82) - 8\/(-12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*17\/340*-1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 27 = 8*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36496*f**2*k**3 + 5*f*k**3 - 54*f*k**2 + 24*k wrt f.\nAnswer: -72992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-44\/3)*n\/n**11*n\/(n\/n**(-33)) assuming n is positive.\nAnswer: n**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3185 or 266.59?\nAnswer: 266.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0\/(4\/2). What is the remainder when d + 5 - (-16)\/1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + 237. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.045 - 7.955. Let p = 10 - 23. Let h = i - p. What is the third biggest value in h, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 12084684?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 5\/2*r + 1\/2*r**5 + 2*r**3 - r**2 - 1.\nAnswer: (r - 1)*(r + 1)**3*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -37*f**2 + 382*f - 240. Let c(n) = 25*n**2 - 255*n + 160. Let d(t) = 8*c(t) + 5*m(t). Let d(a) = 0. Calculate a.\nAnswer: 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8026125?\nAnswer: 3, 5, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52031014*f**4 + f - 52031014*f**4 - 1331*f**6 - 145 + 2*f**2 wrt f.\nAnswer: -159720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671427229 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -131, 0, -15007, 0.5 in increasing order.\nAnswer: -15007, -131, 0, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4551.95 - -4459. Round p to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2 = -w, -3*f + 3*w = 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*m - 97. Suppose -3*z - 16 = -31. Suppose -z*g - 4 + 26 = 2*t, -g = -2*t + 22. Calculate the remainder when m is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*f**4 + 2*f**2 - 42*f?\nAnswer: 5088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -46. Let a = 39 + c. Let y = a - 28.999969. Round y to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*y = -156, 0*y - 76 = -2*w + 5*y. Let k = w + -28. Suppose 3*l + k*l + 3 = 0. Round l to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 32e?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2561 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123815, 247297, 370781, 494267?\n\"Answer: m**2 + 123479*m + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 5*b + 5. Let o be p(6). Let i(h) be the first derivative of 10*h**3\/3 - h - 2. What are the prime factors of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*(sqrt(77) + sqrt(77) + sqrt(77) + -3*sqrt(77)))\/((-1*sqrt(7) - sqrt(7))*5 + 2*sqrt(700)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.05, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 + 106*x + 86*x - 308*x + 107*x. Let v(m) = 9*m**2. What is v(f(c))?\nAnswer: 729*c**2 - 324*c + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + (-2*sqrt(245) - sqrt(245)) + sqrt(245))*-1)\/(sqrt(7) - sqrt(28)\/sqrt(4)*-3))\/(4*1*-1*sqrt(1008)).\nAnswer: -sqrt(5)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3285841285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - j**2 + 4 - 15*j - 1 - 6*j + 9*j to p + y*j**3 + a*j + s*j**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78235387 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: 7551 (base 10) to base 13\nAnswer: 358b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1454 - -2519. Let y = -335 - -337. What is the tens digit of v\/25 - y\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 183\/21 + 6\/21. Let p be (u\/(-4))\/((-12)\/(-224)). Let n be 1 + (0 + p)\/(-3). What is the highest common divisor of 120 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t + 151. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428597 (base 11) in base 4?\nAnswer: 21113231112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1855 - 1853. Solve -3*o + 0*m = -k*m + 2, -m + 11 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 20 (c) 3\/4 (d) -5 (e) -1 (f) -31 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 + 3*f - 13. Give i(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from nvvouhq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -0.0008773?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -86\/25 (b) 2 (c) -0.1 (d) 9\/10 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7058*p**5 - 2*p**3*x - 2*p + 1554*x + 2 wrt p.\nAnswer: 141160*p**3 - 12*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f + 2. Suppose 0*i + 4 = i. What is the remainder when p(i) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/3)))\/(d\/(d*d**(-2\/3))))**(31\/2)\/((d\/(d\/d**(-1\/4)*d*d))**24\/((d*d*d**3*d*d*d*d)\/(d\/(d\/d**(-3))))) assuming d is positive.\nAnswer: d**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 891370331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:56 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96584 is divided by 244?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o - 5. Suppose 9*g = 5*g - 44. Let i be 4\/22 - (-24)\/g. Is 4 a factor of s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 j when four letters picked without replacement from jbajjjxbbaa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2828492 and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/944 and 85\/4?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/4 + 3*n**3 - n**2 - 13*n - 4. Let y be a(-9). What is the nearest to -1 in -5, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 + -234043201?\nAnswer: -234041212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-33)\/12 + 642\/(-1284).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 992 + 994 = 0. What is the closest to -1\/3 in p, 0.8, 3, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 5 - 2*x + 6)*(-2*x**2 + 0 - 2 + 4*x**2).\nAnswer: -12*x**3 + 2*x**2 + 12*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3, m - c = c - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h*u**2*v - 4*h*u - 5*h*v + 6*u**2 wrt v.\nAnswer: -6*h*u**2 - 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106658103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -r + 26*n + 14, -3*r - 5*n - 28 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 - 3 - 0. What is the biggest value in 0.04, 0.3, p, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 47 = -4*w + 31, -2*f + w = -63. Let l(t) = t**2 + t - 1. Let u be l(2). Suppose 0 = u*y - 2*y + f. Do y and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, y: 5}. What is prob of sequence yy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598696 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -380, -398, -426, -464, -512, -570?\n\"Answer: -5*s**2 - 3*s - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180407 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/10 + 3*j**4\/2 + 41*j**3\/5 + 99*j**2\/5 + 41*j\/2 + 15\/2 = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 12*l**2 - 4*l - 6. Let f(y) = -y**3 - 13*y**2 - 5*y - 7. Let n(t) = 3*f(t) - 4*s(t). What is n(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmiipdo. Give prob of picking 1 n and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g - 6*g + 27 + 3*g.\nAnswer: -17*g + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5652 - -5658. Calculate the remainder when 1431 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 3. Let w be s(4). Let q(c) = -159502*c**3 - 7*c + 319003*c**3 + 2 - 6*c**2 - 159502*c**3. Calculate q(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -267, 5.\nAnswer: -267, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/6 - 11*l**3\/6 + 3*l**2 + 6819*l. Calculate m(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -49*g + 37. Calculate s(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3488 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 34*g = g - 1311. Let z = 3 - -5. What is the remainder when g is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 8*j. Suppose -3*l - 11 = 4*s, -s + 3*l = 2*s - 18. Put j, s, -1 in increasing order.\nAnswer: -1, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(4))\/sqrt(2)*-5)**2 - ((0 + sqrt(18)\/sqrt(6))*3)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51113760 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 199*y - 26. Does 12 divide g(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 44 = -23*s - 5*p, 4*p - 36 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27532503 is divided by 2264?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 2*y + y)*(y + 2*y - 5*y)*(-1 - y + 1) + 780*y**2 + 3 - 390*y**2 - 392*y**2 + 13*y + 23*y**3 in the form c*y**3 + m*y + i + s*y**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 3*h**6\/40 - 104*h**3\/3 - 178*h**2. Let z(c) be the first derivative of u(c). Let d(n) = 4*n**2. Give d(z(s)).\nAnswer: 2916*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8098 - -0.978114.\nAnswer: 8098.978114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 7*u + 51. Determine c(8).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6) + sqrt(11) + 2)**2 + -2.\nAnswer: 8*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 104 - 110. Let l(z) = -508*z**3 + 8*z**2 - 512*z**3 - 15 + 1019*z**3 - y*z. Calculate l(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01214825 rounded to five decimal places?\nAnswer: 0.01215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 37*d - 18*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.8 in -3, -1\/6, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/2 + 39*q. Let b(h) = -17*h**2. Calculate b(i(s)).\nAnswer: -153*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -795 - -1387. Calculate the highest common divisor of 222 and g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1729790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - 61 - (-2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6528)\/396)\/(-68))\/((264\/90)\/(-22)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.011 + -13577994325.\nAnswer: -13577994326.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:19 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2 + 3*c - 12*c - 6. Let o(l) be the first derivative of -4*l**2 - 3*l + 2358. Give -6*o(h) + 5*z(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248133421*w**4 + 4830444*w wrt w.\nAnswer: -2977601052*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r**2 - 5*r + 6*r**2 + 7*r**2 + 2*r in the form a + p*r**2 + f*r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176263\/2 or -88133?\nAnswer: -176263\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37935*0.4.\nAnswer: 0.15174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**3\/v)\/v*v)\/(v\/v**(3\/5)*v))\/((v*v*(v**(-1\/2)\/v)\/v)\/v)**19)**(2\/7) assuming v is positive.\nAnswer: v**(291\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*l**3 - 2*l + 25*l**2 - 9*l**2 + l**2 + 11*l**2 wrt l?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**2 - 15*w + 6. Let f(y) = 12*y**2 + 28*y - 11. Determine -4*f(h) - 7*k(h).\nAnswer: h**2 - 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b + 3907 + 2344. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68998*p + 34496*p + 34510*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, -213, -317, -419, -519, -617, -713?\n\"Answer: n**2 - 109*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.95169 + -0.04831. What is the nearest to v in -2, -1\/11, -5\/2, 0.4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2462?\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33950 is divided by 16975.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16015640.\nAnswer: 2, 5, 400391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/4 - 23*t**2. Let o(c) be the first derivative of 2 + 0*c + 1\/2*c**2. What is p(o(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - j = -167843, 2*y - 155232 = 6*j - 43310. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*m - 11, 275*t + 2*m = 274*t + 5. Sort -2, -6, t, 2.\nAnswer: -6, -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22\/193 - -9237\/1930. Find the common denominator of g and (-145)\/1100 + (-12)\/(-66).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 49. Find the second derivative of 8*u**w + 7*u**2 - 10*u**2 + 18*u wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3452 - 3453. Which is the second biggest value? (a) 24 (b) 0.02 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = -q + 26*s + 77*s, -2*s = 5*q - 8 - 23 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*p**3 - 724*p**3 + 6*p - 6*p.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 954 by -2847.\nAnswer: -318\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308625 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080 is divided by 453.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 216.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 901*t - 2 + 467*t + 618*t + 5 to b + m*t and give m.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*y - 1\/5*y**2 + 4\/5.\nAnswer: -(y - 1)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132372480 divided by -834\nAnswer: 158720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1116 + -24547\/22. Suppose -11*n - 3*n = 70. Let v be 2 - (-1 + (-10)\/n). Is v equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19226191.\nAnswer: 19226191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*z + 26*z**3 + 43*z + (-3*z - 3*z + 7*z)*(2*z**2 - 4*z**2 + 4*z**2) + 0*z**3 + 3*z**3 - 2*z**3 - 4 + 2*z**3 + 4 - 3 - z**3 + 3.\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6\/5, 0.0399, 3, 1\/2 in increasing order.\nAnswer: -14, 0.0399, 1\/2, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12767)\/714 + 18)*(-72)\/(-630).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (3 - -2)*4. Let z = i - -37. Solve -3*j = -g + 2*j + z, -1 = -g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 + (66 - 118))\/((-18)\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10a6a35 (base 13) to base 5\nAnswer: 2303033320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6722, 1.\nAnswer: -6722, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881865 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/10 - 2*b**3\/3 + 5*b**2. Let x(o) = 2*o**2. Determine x(l(u)).\nAnswer: 72*u**4 - 96*u**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/4)\/(3*(-15)\/(-8760)) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*p - 8 = 0, 0*j - 5*j - p = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-12))\/((-2)\/3). Let z be (i\/3)\/((-3)\/18). Which is the second smallest value? (a) 1 (b) 2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 + (2488 - 2505).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -64. Let l be (2\/7)\/(3\/x). Solve 0 = 4*k - 4*g, 0 + l = -4*k + 2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40163 - 17795. Let c be (-4)\/(-10) + m\/80. Calculate the least common multiple of (-116)\/(-7) - 160\/c and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437115?\nAnswer: 3, 5, 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1969719 - 0.686?\nAnswer: -1969719.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/32, -61 in increasing order.\nAnswer: -61, -0.5, -1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 4, f: 4, x: 1}. Give prob of sequence vfvp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 621460321 - 16?\nAnswer: 621460302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -99?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1207607 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 308*m + 1. Let p be (13 - 16) + 1 + 3. Let j be b(p). Calculate the remainder when 5\/(-20) + j\/4 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:56 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-30)\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002393534 rounded to five dps?\nAnswer: 0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d**4\/5 - 36*d**3\/5 - 638*d**2\/5 - 1452*d\/5 - 864\/5 = 0. Calculate d.\nAnswer: -24\/7, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-962)\/555. What is the biggest value in 1, -6, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -3. Suppose -5*d - 10 = -l + f*l, -2*l - 2*d = -4. Suppose -l = o - 3. Which is the closest to -1\/3? (a) o (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 12. Let i be c(-7). Let t(q) = 44*q + 2. Is 13 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-32) + 2 + 67\/136\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -8*v + 2*v. Suppose x = 18 - v. Let b(i) = 5*i + 13. Let l be b(x). What is the highest common divisor of 28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26153 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 - 334*h**2 + 1451*h - 2.\nAnswer: -24*h**2 - 668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20432023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -4)\/(12\/(-100)). Let k = 22 - r. What is the tens digit of k\/(-2 - -5) + 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v + 1. Let h be o(3). Let g = 772 + -767. What is the second derivative of 0*w - h*w - 2*w**3 - g + 5 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1285\nAnswer: 1\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.3 + 31.4. Let b = l + -18.1. Let x = 0.3 + 0.7. What is the nearest to x in -2, b, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**3*y**2 + 11*s*y**2 - 82*s*y + 4*y**2 + 6*y + 4 wrt s.\nAnswer: -9*s**2*y**2 + 11*y**2 - 82*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (361*g**2 - 781*g**2 - 60*g**2)*(0*g + 3*g - g)*(-g - 5 + 5) to the form w*g**3 + m*g + x*g**2 + l + p*g**4 and give p.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i)**19*(i\/(i*i*i*(i\/(i*i**(-5)))\/i))\/i**(-2) assuming i is positive.\nAnswer: i**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -471, 82 in decreasing order.\nAnswer: 82, 0, -22, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z*((z**(-18)\/z)\/z)\/z)\/z*z*z**(-2)*z assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16963, -17266, -17569?\n\"Answer: -303*w - 16660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 299 - 55 + 156)*(2 + 1 - 41*w + 43*w).\nAnswer: 1078*w + 1617","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -20. Let i = x + 5. Let v(s) = s. Let q(k) = -6*k. Let p(j) = i*q(j) - 12*v(j). Let m(w) = -w**2. Calculate m(p(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 192465344 to the power of 1\/2, to the nearest integer?\nAnswer: 13873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303003 + -102?\nAnswer: -303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 - -4. Let c = 271\/1551 + 1\/141. What is the nearest to 1 in c, 3, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*(k\/(k*k\/(k\/(k\/(k**(-23)*k)*k*k))*k)*k)\/k*k*k)))\/(k\/(((k*k\/(k\/(k*k**10\/k*k)))\/k)\/k*k)*k*k) assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 8349?\nAnswer: 8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -698 + 2*t**3 - 115*t + 696 + 0*t**3 - 44*t**4 + 0*t**3 + 47*t**4 to d*t**4 + y*t + o*t**3 + z + s*t**2 and give y.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 39 + 8*v)*(v**3 - v**2 - v**2 + 3*v**3) to i*v + n*v**2 + h + c*v**4 + b*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:11 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300) + -1)*-4 - (-2*(sqrt(300) - (sqrt(300) + -1)) + (sqrt(300) + (sqrt(300) - (1 + sqrt(300))) + -2 - sqrt(300))))**2.\nAnswer: -720*sqrt(3) + 4881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 21*o - 11*o)*(100 - 132 - 154 + (5 - 2 - 1)*(2 - 4 + 3))*(-1 - 4 + 4).\nAnswer: -184*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*u - 1605 = 2203 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(91) - 3*-2*sqrt(91))\/(3*sqrt(28)).\nAnswer: -2 + 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545550 - -2415?\nAnswer: 552405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 2*z - 3. Let j be d(1). Which is bigger: j or 36\/11?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*k - 1, -4*j - 2*k + 24 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 120220?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/11 + -5\/66. Let i(g) = -4*g - 34. Let a be i(-9). Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + 22*k)*(-6 - 4 + 3)*((3*k + 3*k - 5*k)*(0 + 4 - 2) - k + 0*k + 0*k - k - 5*k + 4*k + 10 + 5*k - 10).\nAnswer: -532*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81*h*p**3 + 2*p**3 - 310*p wrt h.\nAnswer: 81*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 4. Let l(g) be the first derivative of g**3\/3 + g - 3. Let m(o) = d(o) + 4*l(o). Let v(j) = 16*j. Determine m(v(h)).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 372 + -152. Let w = 223 - o. What is the biggest value in w, 6, 7\/5, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 1898 + 1862 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 62319.68 years?\nAnswer: 6231.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -31.5. Let w = -1.6 + 1. Let u = w - c. What is the nearest to u in 4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -1 - (1 - -3)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86769 rounded to two decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let a(d) = 8*d - 4. Let z(p) = 2*a(p) + 12*b(p). Let k be z(3). Sort k, 2, 5 in ascending order.\nAnswer: 2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/3)\/(10\/15). Suppose 4*l - l = 36. Let o = 16 - l. Solve c - i + 4*i = f, -4*c = -o*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6070, 5966, 5862, 5758?\n\"Answer: -104*i + 6174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = 33*y + 5. Calculate the remainder when 5 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.75*-43780.\nAnswer: -164175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2039, 19904, 68403, 162854, 318575?\nAnswer: 550884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 18*c + 34. Let v be n(16). Solve -3*w + 3*h = h - 13, 0 = -4*w - v*h + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/4, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 12. Let d = 39 + -33. Let t be (4\/d)\/(192\/36). What is the third biggest value in o, t, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1409*3.7\nAnswer: 5213.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/52, 2, -4\/325?\nAnswer: -4\/325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - -440c4?\nAnswer: 440a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423332033 - 3?\nAnswer: -423332041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w. Let i be c(1). Let l be (0 - 0) + (i - 0). Let r be 2\/(-30)*(-8)\/(-20)*5. Are r and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 89, 203, 363?\n\"Answer: 23*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -646221*n. Let p(k) = 75*k. Calculate f(p(a)).\nAnswer: -48466575*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 1010*g + 2 - 35*g**2 - 1008*g - 1 in the form l*g**4 + h*g**3 + p + m*g**2 + u*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 156*y**3 + 149 - 520*y - 106 + 18*y**4 + 218*y**2 = 0.\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2375*m. Let h(r) = 9*r**2. Determine y(h(x)).\nAnswer: 21375*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -26. Calculate the remainder when 27 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkkkknknk. What is prob of sequence kkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/204 and -29\/27.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 3*b. Let q be b\/9 - 2\/(-9). Suppose 3*r + q*r - 5 = 5*w, 4*r + 5*w = -5. Solve 2*i - i = r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6755*w**3 - 3*w**2 - 6*w**2 + 74142*w**3 + 9*w**2 + (-1 - 2*w**2 + 1)*(3 - 2*w - 3) as c*w + v*w**3 + p*w**2 + r and give v.\nAnswer: 80901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-63) - (0 + (-40)\/(-18)). Let n be ((-2)\/y)\/((-1)\/(-2)). Suppose -6*c = -n*c - 992. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:11 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 2, e: 8, r: 9}. Give prob of picking 1 r and 1 j.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 117. Suppose t*h + 4*q - 49 = -316, -3*q - 162 = 3*h. Which is smaller: h or -50?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -608, -935, -1262, -1589, -1916?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r*(r**(4\/3)*r)\/r))*r**(-1\/11)*r**(-11)*r**(1\/6))**(-11))**(-43) assuming r is positive.\nAnswer: r**(-7181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 37980?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95276*g**2*p*q + g**2*q*y + 11*p*q*y + 602*p*y - 2*p wrt g.\nAnswer: 190552*g*p*q + 2*g*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/82291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 != 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.53 + 3.47. Let b = -38 + 37.8. Sort b, o, 0.2 in decreasing order.\nAnswer: o, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25 + 11 = 0. Let f(j) = 5*j**3 + 2*j**2 - 3*j - 4*j**3 + 25 + 6*j**2 + 5*j**2. Let b be f(z). Round b to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*((-h - 19 + 19)*(2 - 3 - 9) - 4*h + 4*h + h) + 0*h - h + 0*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*(-12)\/8. Let f = t - -5. Suppose -g = f*g - 40. Calculate the remainder when 28 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*q = -q - 3, 2 = -2*q. Suppose 0 = -3*a - p + 28, 2*a = -4*p - n + 12. Calculate the remainder when 79 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9295 and 373490.\nAnswer: 4108390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 147?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 974 + -2406. Suppose 9 = -2*t - 3. Does 14 divide v\/(-12) - ((-2)\/t - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:59 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-14) - (-66 + 66)\/(-21)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - 15) - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-112)*46 - 3\/8. Which is the biggest value? (a) 7 (b) 4\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 1.1. Let v = -11 + 6.88. Let t = v + 0.12. What is the nearest to y in t, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -56. Suppose j*s - 4*s = 112. What is s rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 53*v**2 - 22*v - 112. What is a(27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**4 + 9*y**3 - 3*y + 9. Let f(r) = -r**4 + 2*r**3 - r + 2. Let c(z) = 18*f(z) - 4*t(z). What is the second derivative of c(k) wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508227017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkccjcjjwvjj. What is prob of sequence cwv?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**3\/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0.\nAnswer: -64, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:19 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -23954*o + 1532*o**2 + 23954*o in the form k*o**2 + r + s*o and give k.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2111102 (base 3) to base 7\nAnswer: -5210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1855 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 - -3.9. Let z = -0.1 + 0.6. What is the second smallest value in z, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0716 times -0.75\nAnswer: -0.0537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381 by -1.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -81 - 6 - 1372*x + 1396*x - 33. Let n be h(19). What is the greatest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/396 and -65\/1232.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 11895677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose 35 = j + 4*j. Let g be -10*(j\/(-5) + 1). Sort -4, g, d in decreasing order.\nAnswer: g, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396409029 is divided by 132136343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 8*q**2 - 21. Suppose 7 + 3 = h + 2. Let o(p) = -p**3 + 3*p**2 + 7. Determine h*o(s) + 3*r(s).\nAnswer: -2*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27223, -0.3, 3\/4 in descending order.\nAnswer: 27223, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*k**3 + 8*k - 8*k - 179*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let c = 7.455 - 10.455. What is the nearest to 1\/3 in c, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26385 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-32) + (-450)\/624 and 117\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-396)\/143)*6)\/(-5)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(-2*f - 4*f + 4*f) - 2 + 2 - 3*f + 0*f - 3*f + 4*f + (4 - 2 - 1)*(f - 2*f - 2*f) + 2 + 2*f - 2 to v + d*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 + 3*t - 2. What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5262 divided by 6.\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -82. Solve 4*a = 20, -4*w + 5*a - 31 = -l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 4*w - 4*w + 3*w**2 - 4*w**2 - 4*w**2 + (2*w**2 + 0*w**2 - 3*w**2)*(-3 + 4 + 0).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298 + 297. Suppose 0 = 4*b - 4*r - 132, -3*b + 5*r - r + 104 = 0. Let c = b - 193\/7. Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/100 - 13*w**4\/30 - 8*w**3\/5 + 9*w + 16. Factor t(l).\nAnswer: -l*(l + 2)*(l + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4 - -8990?\nAnswer: 85a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -117*h**2. Suppose -21 + 17 = -2*q. Let l(f) = 10*f - 9. Let g(j) = -j + 1. Let b(y) = q*l(y) + 18*g(y). What is b(x(k))?\nAnswer: -234*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from wwwkwyjyywjywkk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 10:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Suppose -5 = 4*l + 5*f - w, -f = -l + 11. What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1105 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-77)\/(-55)*2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from luxxuuuuxw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 2. What is the common denominator of 996\/(-90)*(-6)\/8 and ((-34)\/(-3))\/(12\/d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 82. Solve 0 = -5*q - 2*m - m + a, -5*m + 6 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5000) + 3) + sqrt(5000)*-2 + -5 + sqrt(5000) + -1*(-3 + 0 + sqrt(5000))*4)**2.\nAnswer: 1600*sqrt(2) + 320004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181 times -5581?\nAnswer: 12172161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f = 30*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 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: What is 0.00000749785218 rounded to seven decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90.495+-0.026\nAnswer: 90.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -171*r**2 - 4*r + 1. Let w be p(-2). Does 14 divide ((-2)\/(-6))\/((-3)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-10 + -14)) + -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k. Let u(z) = 17*z**2 - 1. Determine g(u(i)).\nAnswer: 119*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1851 and 87763.\nAnswer: 87762.8149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 76*s**2 - 46*s**2.\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 78290*b**3 - 2*b**2 + 20*b - 19. Is u(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58\/(3 + 7\/(-3)) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 26. Let z(s) be the second derivative of 0 + 0*s**g - 1\/6*s**4 - s + 0*s**2. Let q(r) = -4*r. Determine z(q(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6869 + 7737. What is the remainder when y is divided by 110?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 52*z**2 + 81*z + 341. Is y(49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + l**3 + 5 - 6*l**2 - 3*l + 3*l**2 - 6*l**2. What is y(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from yyttyywtwytttytyt?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 - (0\/(-4) - -1)*-3 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 531*u**2 - 85998*u - 174096.\nAnswer: 3*(u - 104)*(u + 2)*(u + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -57. Suppose -4*k = 4*s - 228, l*k - 167 = -0*s - 2*s. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30922*o**2 - 30892*o**2 + 61817*o**2 - 11.\nAnswer: 3*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -3 in increasing order.\nAnswer: -5, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 2*f - 2. Let v(a) = -a**2 - 6*a - 6. Let u be v(-4). Let n be p(u). Let h be (-4)\/n - (-10)\/12. What is the smallest value in 5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213, -2410, -3593, -4756, -5893?\nAnswer: -6998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.83 - 10.33. Which is the closest to -0.4? (a) z (b) 0.3 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = -145 + 7 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 873\nAnswer: 74\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:45 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 205356, -20, 0.04, 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose 3*j - 51 - 54 = 0. Suppose -5*h + 4*t + 44 = -36, 2*t = -10. Calculate the remainder when j is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.8. Suppose 210 = -3*o + 3*g, -2*g + 209 = -4*o + o. Let v be o\/(-126) + 8\/28. Which is the closest to -2\/7? (a) 0 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -111. What is the remainder when g is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6223 = 3*v + 23988, 5*v - 15 = 0. What is c rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16717 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 32*v - 774 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 1, q: 2, f: 1, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 + -0.05. Let y = 0.27 - 3.27. Let g = y - -2.9. What is the nearest to g in 3, -0.02, j?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 150, 187, 136, -99, -614, -1505?\n\"Answer: -16*f**3 + 52*f**2 - 7*f + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.94834074 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6712 and 48?\nAnswer: 40272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 24. Let i(u) = -13*u - 71. Let n(z) = 8*c(z) + 3*i(z). Let v be (6\/(-10))\/(654\/22890). Let a(x) = -1. What is v*a(y) + n(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 658 = -2*d, 2*d + 0*d = j - 157. Let z = -761 - -834. Let o = j - z. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 27*x + 33. Let b be l(-3). Let f(k) = k**2 + 47*k - 47. Let d be f(b). Is d bigger than 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3027 - q**3 - q - 3027 + q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16886975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - 2*d)*(-13*d + 15*d - 5*d**3 - 8*d) - 5*d**2 - d**4 + 5*d**2.\nAnswer: -6*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 600 = 3*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 57, 77, 115, 177, 269, 397, 567?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -149, -604, -1363, -2426, -3793?\n\"Answer: -152*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 19*j**5\/120 - 25*j**3\/6 + 24*j**2. Let l(q) be the first derivative of d(q). Let y(i) = -2*i. Give y(l(r)).\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 820458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23841 and 51.\nAnswer: 405297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1300 and 92404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 233034 divided by 233034\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/7, 4, 0.2, -3\/10, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/1073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*l**4 + 64*l**3\/3 + 29*l**2\/3 - 2*l\/3.\nAnswer: l*(l + 1)**2*(33*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, y: 2}. What is prob of picking 1 u and 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 4*g**2 + 3*g**2)*(2*g + 11 - 11) + 247*g**2 - 247*g**2 + 12*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(22\/4 + -4). Suppose -d*x = -m - 0*x + 11, 2*x = -6. Suppose -m*p + 118 = 23. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.1, -0.049, 4, 235?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4308.147 decades?\nAnswer: 43.08147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 8) in base 3?\nAnswer: 100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h - 8. Let p(g) = -g - 1. Let c(t) = -5*n(t) + 40*p(t). Let r(j) = 900 - 209*j**2 + 224*j**2 - 900. Calculate r(c(f)).\nAnswer: 375*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m**4 - 62*m**3 + 253*m**2 - 399*m + 44. Let k(x) = -3*x**4 - 21*x**3 + 84*x**2 - 132*x + 16. Let a(h) = -11*k(h) + 4*s(h). Factor a(i).\nAnswer: i*(i - 9)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4268 + -4264. Let h(w) be the second derivative of 16\/11*w**2 - 5*w + 1\/66*w**f + 0 - 8\/33*w**3. Determine k so that h(k) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 l when three letters picked without replacement from {j: 1, l: 3, c: 5, t: 1, a: 1, p: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038335155 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k - 4*k)*(248*k**2 + 138*k**2 - 55*k**2)*(5 + 0 - 3)*(2 + 1 + 0)*(k + 0*k - 4*k) to the form m + n*k**2 + p*k**3 + c*k + o*k**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14))**(3\/16) assuming w is positive.\nAnswer: w**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 20. Suppose -3*x + 185 = 5*t, 200 = 3*x - 0*x + a*t. What is the units digit of x + 1 + 2 + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**6\/15 - 2*a**5\/5 + 3*a**4\/5 + 162. Factor z(b).\nAnswer: 2*b**3*(b - 3)*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 43*i + 2331 + 153 = -18*i for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 5110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*r. Let k = r - -3. Let x be k*(1 - 9\/10). Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = -3*s + 83. Suppose -13*u + s = -175. Calculate the remainder when 98 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + 7 + -7 + (-45 - (-155 + 54))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + o**2 - 3)*(-4*o + 6*o - 4*o) + 0*o**3 + 5*o**3 - 4*o**3 - 2*o**3 - 7*o**2 + 7*o**2 - 109*o**3 + 22*o**3 - 101*o**3.\nAnswer: -191*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 8*h**2 + 4*h - 11. Does 33 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111255 divided by 1?\nAnswer: 111255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1868?\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7130 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -32, 2, 4, 97 in ascending order.\nAnswer: -32, 1, 2, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let s(z) be the first derivative of 27*z**2\/2 - z - 8. Is s(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 570?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-2175)*-15)\/(2\/(-220)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 14\/27 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (7 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + 1134\/15. Let k = 1294\/17 - z. What is the nearest to 1\/4 in 0.2, k, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -3*((sqrt(300) - (sqrt(300)*3 + sqrt(300)))\/sqrt(10) + sqrt(30))\/(sqrt(1050)\/sqrt(7)))*5)**2.\nAnswer: 180*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11327.787 - -10497. Let o = p + -0.213. Let q = 831.0347 + o. What is q rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*m + 2*m + 4, 3*d + 4*m = 12. Suppose -i - d = -2*i. Suppose -4*c + 7 - 2 = -3*j, -5 = 3*c - i*j. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -4*x**5\/5 - x**2\/2 + 13. Find the second derivative of a(d) wrt d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27065 + 61692 = -1117*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 87.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzezeeeuezu. Give prob of picking 1 u and 1 z.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141233077\/940 + -150248. What is the common denominator of i and 49\/94?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:25 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1717 divide 19569010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 59*d - 126 = 0. Solve -5 = -f, -35 = -5*p - 6*f + d*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164145, -163918, -163539, -163008, -162325, -161490?\n\"Answer: 76*u**2 - u - 164220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 30. Suppose 0 = 3*r - 0*r + x. Let c(l) = 1. Let p(t) = -t + 6. Let u be (-7)\/7*(1 - 2). What is r*c(g) + u*p(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*s - 1 - 14*s + 1 to the form l + x*s and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (3406\/(-1048))\/(1\/(-2940))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (3 - 3)) + (87 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m**2 - m**2 - 10*m - 2*m**2 - 5. Let a be i(6). Suppose 12*h = a*h + 150. What is the lowest common multiple of 27 and h?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21031111 + -3212?\nAnswer: 21021233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141022035.\nAnswer: 3, 5, 7, 11, 40699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132565, 132554, 132545, 132538, 132533, 132530, 132529?\nAnswer: 132530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-909)\/(-1212) - -11*((-3)\/12 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11155182 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + -1) - sqrt(125)) + -2)**2 + sqrt(125) - (5 + (sqrt(125)*-1)**2 + sqrt(125) - sqrt(125)))*5 + -3.\nAnswer: -23 + 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 4. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16 = -4*d, -4*q = 4*d - q - 16. Let h be (32\/(-20))\/((-2)\/10). Suppose 4*p - 53 = -3*x, 0 = -d*p + 2*x - h + 46. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32874.364 - -32877.0239359. Let s = -2.66 + b. Round s to 6 decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*t - 158*t**3 + 2049*t**3 + 36*t + 395*t**3 + 1527*t**2 wrt t?\nAnswer: 13716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2 - p - 72. Let n be y(12). Let h = 32 + -18. Let t be n\/((h\/(-6000))\/7). What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(43\/((-344)\/336))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.1. Let i = 168 - 168.5. Which is the nearest to r? (a) -4\/3 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 5.5. Let i = 0.04 - -1.96. Which is the third smallest value? (a) -1\/4 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 464, -4113, 2 in ascending order.\nAnswer: -4113, -5, -3, 2, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q**2 - q - 1. Let v be m(-2). Let p = 235 - v. Let t = 194521 - 194491. Calculate the greatest common divisor of p and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from jjk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/2*(-292740)\/66215.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 3*w + 4. Let s be v(4). Let a(m) = -m - 16. Let d be a(-15). Let g be (d + 2)*(-1)\/6. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459 divided by -153\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oofoqfowoooq. What is prob of picking 1 f, 1 w, and 1 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 2:27 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 10:41 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/984 - 30*38\/(-164). What is the greatest common factor of 39907 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3))\/(-105 - -106). Solve 2*a - 5*s + 3 + 20 = 0, -2*s + 10 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -13*b + 0 - 2*b**2 + 3\/10*b**4 + 1\/150*b**5 + 0*b**3. What is g in p(g) = 0?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z - 4. Let v(l) = l - 5 + 5 + 4 - 3. Suppose -4*x + 20 = 5*a, 0*x = -5*a + 3*x + 20. Suppose a*j = 50 - 66. Give j*v(m) - i(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.76 minus 0.0321009066?\nAnswer: -1.7921009066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/3))\/(r\/(r**(-2\/7)\/r)))\/(r*r\/(r**1*r))**(14\/5))\/(r**(-8)\/r**4)**(35\/4) assuming r is positive.\nAnswer: r**(2171\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -51. Let l = 73 + s. Let m = l - 33. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 16*k + 39*k**2 + 51*k**2 + 194.\nAnswer: 90*k**2 + 2*k + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*p**2 - 23*p**2 + 2 + 7*p**2 in the form b*p**2 + z*p + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -14. Suppose -7*v - g*v = 4*v. Solve 5*u - 5 - 15 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -214.32.\nAnswer: -214.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -225428\nAnswer: -90171.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 - -180. Let r be (1675800133\/(-42))\/s - (-2)\/(-12). Round r to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/72)\/(2\/36*9*12)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2615949 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.6 - -12. Which is the closest to 0.1? (a) 0.3 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:07 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2. Let q(z) = -2*z. Let y(t) = -3*t. Let i(b) = 10*q(b) - 6*y(b). What is i(n(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*b*y**2 + 6*b*y + b + 19 wrt y.\nAnswer: 20*b*y + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1346 or -40?\nAnswer: 1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109122, -217927, -326732, -435537, -544342?\nAnswer: -653147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 - -10422?\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(3 + 6 - q - 4)*(-1 + 0 - 7)*(0 - 2 + 1).\nAnswer: -16*q + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 1. Let w(j) be the first derivative of j**4\/4 + 2*j**3 + 7*j**2\/2 + 5*j + 120. Let r be w(-2). Determine l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473656893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22445 - 99*w**2 - 22445.\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 108*k**4 + 668*k**3 - 1140*k**2 = 0. What is k?\nAnswer: 0, 3, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*5\/15)\/((-19)\/19152*-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1988 - 1984. What is the third biggest value in -11, 2\/5, c?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1216 + 17772.5.\nAnswer: 18988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 14) in base 7?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22101*g**5 + 17*g**4 - g - 108234.\nAnswer: 442020*g**3 + 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9*(-144)\/2280*-90)\/1.\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 8*r - 2*z = 10, 4*r - 2*z = 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 1, f: 1, q: 1, n: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 26*u. Let s be l(0). Solve 6*z - 11 + 17 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7106074.43 plus -8?\nAnswer: -7106082.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13598 or 13580?\nAnswer: 13598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -704671\/27 + 26099. Which is the biggest value? (a) -1\/7 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1060*3072\nAnswer: -3256320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.1 + 27. Let a = m + 6.1. Suppose -c = 4*c - 5. Is a greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/23 and 12 + (-696)\/56 + 188\/(-5768).\nAnswer: 4738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/7 + 43\/42. Let f = -1.9 - -2. Which is the closest to f? (a) -3 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -101, -180, -297, -464, -693, -996?\n\"Answer: -2*m**3 - m**2 - 36*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.9 + 8.9. Let k = 8 - 10. Let q = j - k. Which is the closest to q? (a) 0.1 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*c + 90*c - 95*c**2)*(-30*c**2 - 24*c**2 - 53*c**2) in the form a*c**4 + b + j*c**3 + y*c + k*c**2 and give a.\nAnswer: 10165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.41369764 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -21, -12, 1, 18, 39?\n\"Answer: 2*i**2 - i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Calculate -10 + (7 - (-7 + 1)) + (7 - (108 - 11)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 684304809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = -10. Suppose -o*n = -n. Let t be n + (2*4 - 0). What is the greatest common divisor of 64 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003796744 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 51*n + 9. Let k(x) = x**2 - 25*x - 4. Determine 9*k(r) + 4*o(r).\nAnswer: -3*r**2 - 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 15*q**2 - 35*q + 871. Calculate a(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 704\/23 + -9363\/230. Find the common denominator of (-10)\/25 + (-742)\/120 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4679, -18943, -42755, -76115, -119023?\n\"Answer: -4774*a**2 + 58*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1004280*r**2 + 648756?\nAnswer: 2008560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34228379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((21\/(-11))\/(-7)). Let n = 103\/9 + d. What is o in -n*o + 2\/9*o**2 + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(-2*sqrt(9)) + 1 + sqrt(17) + 2 - sqrt(85)\/(-6*sqrt(25)\/sqrt(5)))**2.\nAnswer: 4*sqrt(17) + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**2 + 113*m**2 + 19*m + 90*m**2 + 17*m - 34*m.\nAnswer: 228*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 21*s - 693. Calculate the greatest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 + 8915*i**2 - 64*i + 4. Let n(l) = 14*l**3 - 26746*l**2 + 176*l - 11. Give 4*n(c) + 11*x(c).\nAnswer: c**3 - 8919*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 817, 1620, 2411, 3184, 3933, 4652, 5335?\n\"Answer: -p**3 + 810*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 417.00668 - 417. What is b rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/30 + 47*y**4\/24 - 127*y**3\/6 + 114*y**2 - 1. Let v be o(20). Solve 9*a + 4 = v*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/22)\/(40\/(-44))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -103565.\nAnswer: -103564.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16)\/((-45)\/(-900))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 204 (c) 200\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.5, 1\/1767352, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800961?\nAnswer: 3, 7, 43, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23002066748 + -57.\nAnswer: 23002066691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:14 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 13*r**2 + 14*r - 14. Determine c(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/23 - 1026420*u**2\/23 - 131692252050*u\/23.\nAnswer: -2*u*(u + 256605)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(2736) + 2*sqrt(19)*6 + sqrt(19) + (-3 + sqrt(2736) + sqrt(2736) + 1 - sqrt(2736))))**2.\nAnswer: -1998*sqrt(19) + 234180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 4*q - 1. Let g be z(-7). Let y be (-5)\/g - (-254)\/(-8). Let i be ((-38)\/y - 1)*4. What is the second biggest value in -1, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39003\/10 - 3897. Let m(o) = -2*o**3 + 2*o + 1. Calculate the common denominator of i and m(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -8252?\nAnswer: 8253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-70)\/(-15))*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 449 + 666. Suppose -5*g + 6700 = s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331050 is divided by 1631.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-756)\/666)*(-3)\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -312. Let l = -1.7 + 2.8. Let v = l - 1.6. Which is the third smallest value? (a) v (b) t (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 383565.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31183509?\nAnswer: 3, 7, 1484929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*c + 37 - 114 = 225*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29763199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(2 + 12\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 - 124*m**3 + 2*m + 178*m**3 + 81*m**3 in the form z + t*m**2 + s*m + d*m**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 0 (c) 257 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -104 (b) -19\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 3*z**5\/5 + 9*z**2\/2 - 10. What is the second derivative of v(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 21*r + 27. Let o be c(-19). Let s = 61 - o. Sort 1, s, 3, 2 in ascending order.\nAnswer: s, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22366, -22406, -22438, -22456, -22454?\nAnswer: -22426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 188. Give f(34).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3063 - 1303. Is 88 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(68)*-3 - -1*(sqrt(68) - sqrt(68)*1))\/(sqrt(4) + 4*(-2*sqrt(4) - sqrt(4)) + sqrt(4) - sqrt(32)\/(sqrt(8) + sqrt(8) + sqrt(8)*3)))**2.\nAnswer: 900\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75977.\nAnswer: 11, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*x*x\/(x\/(x*x**2*x))*x*x)**(2\/37) assuming x is positive.\nAnswer: x**(22\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 365111287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(4800)*1 + -1*sqrt(3072))**2 + -3 + (-6*(sqrt(48) + -2))**2 + 4.\nAnswer: -496*sqrt(3) + 2090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 2, m: 3, b: 1, v: 3, h: 1}. Give prob of sequence vn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25506057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f - 13*f - 9*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o. Determine m(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u**3 - 35*u**2 + 4*u**3 - 11*u**3 - 15*u**3 to r + x*u**3 + f*u**2 + k*u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) 3 (d) -2\/7 (e) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 19*a - 7. Let d(o) be the second derivative of o**3 - o**2 + 6*o. Give 7*d(h) - 2*x(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l)*(-2*l**4 + 28*l**3 - 28*l**3) + (5*l**2 - l**3 - 5*l**2)*(0*l**2 + 4*l**2 - 6*l**2).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -3. Is ((-22)\/(-3))\/(o\/183) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 2*n + 6*n. Let r(g) = 287*g - 41. Let h(x) = 115*x - 19. Let b(o) = -5*h(o) + 2*r(o). Determine k(b(j)).\nAnswer: -2*j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 32*k**2 + 19*k - 71. Is a(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 80. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476*h - 1464*h - 1053382 = 295982. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3122 + -1663. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*c**4 + 57 - 127 + 38 wrt c?\nAnswer: -104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 17*i - 62. Let w = i - 4. What is w rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350914 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 - 4*j. Give y(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a - 7 = -3*o, -2*a = 4*o - 6. Let p(c) be the third derivative of 1\/9*c**3 + 0*c - o*c**2 + 1\/180*c**5 + 0 + 1\/24*c**4. Solve p(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26202 greater than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 124?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.3 (c) -1.15 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.33, 5, 2 in decreasing order.\nAnswer: 5, 2, 0.33, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1447 + -417. What are the prime factors of (4*t)\/4 - (-3 + 1)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 108 = -4*j. Let n be (-15)\/25 - j\/10. Calculate the least common multiple of (n - 1)*10\/4 and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7160)\/25 - (-2)\/5. Let m be 24\/132 + 96\/y. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 1\/44*q**4 - 1\/33*q**6 + 14 + 1\/11*q**3 + 1\/22*q**2 + 0*q - 3\/55*q**5. Determine p so that r(p) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**2 + 96 - 88*b**2 - 96.\nAnswer: -126*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5.8, -0.1, 0.1?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 13 - 34*j + 32*j.\nAnswer: 3*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 < 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8038.77546 take away 0.2642?\nAnswer: 8038.51126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/48907 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*t + 579*t + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164074?\nAnswer: 2, 82037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 426845.\nAnswer: 853690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 + 46*h + 24. Calculate q(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 2367.\nAnswer: 68643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2\/3 + 1426765*t\/3 - 475590 = 0.\nAnswer: -285354, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -0.125398.\nAnswer: -0.205398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4 + 2\/3*g**3 - 1\/5*g**5 - 5 - g + 6*g**2. Let u(d) be the first derivative of f(d). Factor u(c).\nAnswer: -4*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:07 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794 (base 12) in base 7?\nAnswer: -11206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/5*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 minus 1878?\nAnswer: -1878.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 1. Let v(t) = -7 - 3*t**2 + 6*t**2 - 2*t**j + 2*t. Let s = 815027 + -815032. Determine v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75650*f + 103550*f + 332266*f.\nAnswer: 511466*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280705 and 1705.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/48 + n**2\/8 + 15*n. Factor t(g).\nAnswer: -(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 p when three letters picked without replacement from jjapjjpdpap?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -2\/11, 3.06, -3503, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/9060 and 19\/41676?\nAnswer: 208380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 8. Let y be p(-2). Suppose -9*w - 76 = -4*l - 13*w, -y = -4*w. Calculate the remainder when 87 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 = -2*j, -7*m - 6 = -4*m. Suppose j = a + g, -g + 6*g - 15 = -3*a. Suppose a*i = 3*i - 54. 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 value of ((-5643)\/(-418))\/(3*(-3)\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-6)\/(210\/(-25)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -26. Let s = -2 - b. Suppose f = -7*p + 13, -195*f = -196*f - 8. What is the least common multiple of s and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194337 >= 2194337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - ((4 - 11) + 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/(-10) + 12\/18. Let c = d + 13\/3. Let b(h) = 3*h + 18. Let t be b(-5). Is t > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 12, z + 4*j - 29 = -14. List the prime factors of 14 + ((-16)\/4 - z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2925 and 83685225?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/14)\/((-45)\/(-105)). Let h(t) be the second derivative of 4*t + 0*t**3 + 0*t**2 + 1\/2*t**j + 0. Let m(d) = d. Give h(m(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 638 - 462. Which is smaller: -99 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49492.7 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*n + z - 3, -2*n + 5*z - 7 = 0. Let s = 0.3 + -0.2. Let g = -1\/25 + 27\/50. Which is the third smallest value? (a) n (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**2 - 3*b**2 - 2*b - 12*b**2 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 132*s - 11*s + 5.\nAnswer: 103*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.75886 hours to minutes.\nAnswer: 165.5316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 2*j + 3*h - 19, -12 = -3*j + 2*h. Let t(y) = -2*y - 6. Let o be t(-5). Let f = -2 + o. Solve 0 = -j*n - 3*x - 11, 11*x = f*n + 6*x - 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o - 4*l - 67 = 0, 73 = 2*o + 3*l. What is the first derivative of o*b - 77*b + 7 - 15 - 38 wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*p**2 - 542*b**3 + 2*b**2*r**3 + b*p**3*r - 106529*p**2*r**3 - 7*p*r wrt p?\nAnswer: 4*b**3 + 6*b*p*r - 213058*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/1*(-48)\/(-15). Solve -3*a = m - r, a + 10 = 2*m + 5*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(832)*5 + ((0 + sqrt(832))*2)**2)*5 + -1.\nAnswer: -66561 - 1600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4b7c?\nAnswer: 4b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5329, 5339, 5355, 5377, 5405, 5439?\nAnswer: 5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 44 + 94 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6182 - -230?\nAnswer: -5b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12446361931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30234 (base 9) to base 16\nAnswer: 4da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 29 = 4*v, v - 5*v + 20 = 0. Solve 0 = m*t + y + 3*y - 8, -3*t + 5*y = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1515 * -12.382.\nAnswer: 18758.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19079 = -56*d - 19191. Let y(f) = -187*f - 368. Give y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -759.9 - -760. Are 3\/49 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-5236)*(-7871)\/463?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -1 (c) 3 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 14203 = -v. Let o = v + -1394. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102055.31*0.5.\nAnswer: -51027.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23698 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + -236. Let j = 255.000005 + l. What is j rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100014358.5 to the nearest 10000.\nAnswer: -100010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 - 11. Determine n(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -27*s**5 - 6*s**2 - s - 6. Let b(k) = 55*k**5 + 13*k**2 + 2*k + 13. Let g(y) = -6*b(y) - 13*m(y). Find the second derivative of g(a) wrt a.\nAnswer: 420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-1)\/4)\/(3\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 350 + -345. Suppose 23 = -2*p - 5*s, -3*p - d*s - 35 = -13. Solve 2*a = 3*x - 8, 3*a - p = -3*x - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 348498, 348504, 348514, 348528?\n\"Answer: 2*a**2 + 348496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/5, 5, -5, 31\/30?\nAnswer: 31\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:03 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 505. Let n(c) = 3*c + 227. Let g(w) = -9*n(w) + 4*x(w). Give g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15354 is divided by 626?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14842, 60, 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5118 and 143\/81888.\nAnswer: 81888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let k(m) = -18*m - 146. Calculate the least common multiple of g and k(-10).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*-2*sqrt(684) - 3*-5*(sqrt(684) + -1))**2*6.\nAnswer: -27216*sqrt(19) + 2992992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 2*a + 2. Let i be t(2). Let o(j) = 4*j - 15. Let m be o(0). Let z = i - m. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/16744 and 89\/3389464?\nAnswer: 23726248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -4, -12, -20, -28?\n\"Answer: -8*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, o: 5}. What is prob of sequence ohoo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 14*f**2 - 12*f + 3. Let x(n) = 8*n + 9*n - 14*n. Calculate the smallest common multiple of u(13) and x(6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402*(-531)\/(-23718) - ((-110)\/(-14) + -2)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.114 + 2.1. What is i rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651017 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 12) to base 13\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323778 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k. Suppose 8 = 2*z + 4*m, -16 = 12*z - 16*z - m. Let t(r) = -4*r + 1. Give z*t(g) + 3*v(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 - (-71 + 67).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381*k**5 - k + 678 wrt k?\nAnswer: 7620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 11 + 191. What are the prime factors of (4 - n\/16)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.12 + -0.12. Let u = 0.1 - 0.2. Let m = 1 + -0.5. Which is the closest to 1? (a) k (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s - 16 = 0. Let q = -1.1 - -1.2. Which is the second smallest value? (a) s (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3 + (-3 - 3 + 7)*(3 + 0 - 5))*(2*k + 0*k + 3*k).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 295504224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4540 + -4532. What is the lowest common multiple of c and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + o + 2*o**2. Let j(z) = -4*z**2 - 3*z - 3. Let g be (-5)\/((15\/6)\/5). Let n(b) = 7*b**2 + 5*b + 5. Let w(x) = g*j(x) - 6*n(x). What is w(d(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13024985 = 6*y + 13025553 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -45*d**2 - 37384*d - 186967. Give a(-5).\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 - 2*w**2 + 6*w**2 - 21*w**2 as c*w + t + k*w**2 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -15*h**4\/2 - 2*h**3\/3 - 47*h**2\/2 + 26. What is the second derivative of a(s) wrt s?\nAnswer: -180*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.3 + 16.3. Which is the second smallest value? (a) -0.11 (b) t (c) -17\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -44. Let l = a + -16. What is the common denominator of 5\/2 and (-12)\/(-16) + 55\/(-6) + l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = w - 118 - 142, -4*k = 3*w - 790. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 19*j + 69. Let s be u(22). Let c(p) be the first derivative of -1\/4*p**4 - 1 - 3*p + 0*p**2 + 0*p**s. Differentiate c(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17)\/c**(1\/2)*(c\/((c**22\/c)\/c))\/c*c\/(c**(-10)\/c)*c assuming c is positive.\nAnswer: c**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 10*m. Let j(b) = 5*b**2 - 11*b. Let l(w) = 3*j(w) - 4*y(w). Let g(o) = o**2 - 7*o - 1. Let x(d) = 3*g(d) + 4*l(d). Calculate x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, -0.022, -2\/7, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -30 - (-241 + 236) - 10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4060 = -5*q - 4*n + 4052, 2*q = -n - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - -0.18. Let r = -5.04 + g. What is the smallest value in r, 2, 2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + m - 4*m**3 + 0*m to h*m**3 + r*m + l + t*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*a - 9*a - 1288 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*f**2 + 43*f**2 - 14*f + 14*f.\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 5*s - 3. Determine z(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.4. Let i = -8 + 9.6. Let f = h - i. What is the nearest to 1 in -1, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 greater than or equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6246558511 to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*a**2*m**2*v + a**2*m**2 + 60*m**2 - 2*v with respect to a.\nAnswer: 48*a*m**2*v + 2*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -9 - 0) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y + 2*y + 10 - 7*y - 7*y. Let p be 4\/3*(-14 + 8). Let x = p - -10. Let a(j) = -1. What is x*o(q) + 20*a(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5839154*x**4 + 11397924*x**2 wrt x?\nAnswer: -140139696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 721645.5 kilometers in micrometers?\nAnswer: 721645500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 12, -4.\nAnswer: -7, -5, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 79*x. Let h(j) be the second derivative of -7*j**3\/2 - j**2 + j + 1691. Determine z(h(l)).\nAnswer: -1659*l - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10035333 (base 6) to base 14.\nAnswer: -75c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 10254*o**2 - 477312*o + 2494080.\nAnswer: 3*(o - 40)*(o - 6)*(o + 3464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -753.\nAnswer: 225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 0.7. Let x = -1\/373 + 763\/6341. Let b be (-2)\/6 + (-15)\/9. What is the biggest value in b, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*x - y + 1, -21 = 3*x + 3*y. Let g(t) = t**2 + 2*t. Let i be g(x). What is the second derivative of d**3 + 6*d**i + d - 3*d**3 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/204 and 49\/748.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12528 divided by -6?\nAnswer: -2088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*w - 383 - 51, -2*o + 292 = -4*w. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*t**4 - 27*t**3 - 120*t**2 + 8268*t - 14.\nAnswer: -360*t**2 - 162*t - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 17*i + 85. Let b be g(-4). Put -4, -5, b in decreasing order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o + 322. Determine j(18).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose -11*c - 9*c = -18*c. Suppose 2*m - 7*t + 2*t = 16, 2*m + 2*t - 2 = c. Solve -5*h + y*n = -m*n + 11, h + n - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63582535?\nAnswer: 5, 2857, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2157 in 4, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41590977 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791360?\nAnswer: 2, 5, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-4)*l))\/((l*l\/(l\/l**(5\/7)))\/l) assuming l is positive.\nAnswer: l**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 5 - 1 + 2 - 3 + (-2 + 2 - 2)*(3 + 1 - 2))*(38*d - 200 + 200)*(-6 - 10 - 29) to l + u*d and give u.\nAnswer: 27360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 8 (c) -12198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 127403448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/10)*b\/(b*b\/(b\/(b**11\/b)*b)))\/(b**(1\/34)*b**(-1\/43)) assuming b is positive.\nAnswer: b**(-28166\/3655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102897 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 9 + 77. Which is the second biggest value? (a) 4 (b) 0.2 (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 1 u when three letters picked without replacement from {c: 2, s: 8, u: 3, m: 6}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*a + 2 = 0, -3*w - w + 5*a = -18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + w**3 - 2*w**4)*(4 - 3 + 0*w - w).\nAnswer: 2*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 523214755 to the power of 1\/3, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 319 = 4*k, 5*k - o = 3*o - 392. Let w be k\/(-1 - 0) - (-1 - -3). Which is smaller: w or 76?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92397.\nAnswer: 3, 19, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25\/20 + 1 - (-11049)\/(-3828)\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -203 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15174 or 15170?\nAnswer: 15174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from naipiapnnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 883067579 and 1868?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 + 188\/(-36). Sort 4, 3, u in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 2*o - 12. Is o bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/6 + y**3\/6 + y**2. Suppose 11*m - 15 = -4*m. What is o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26609434 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5107 - 59?\nAnswer: -5166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 5*h + 5*h + 22*h - 12*h + 27*h + (-3 + 1 - 2)*(-2*h + 2*h - 2*h) + 2 - 3*h - 2.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let g(x) = 0 + 1 + 1 - x. Let q be g(-4). Let o(v) = -3*v - q + 6. Give j(o(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1) + (35 - (2 - ((15 - 37) + 12)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-7*r**2 - 21*r**2 + 9*r**2)*(6*r - r - 3*r).\nAnswer: -38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 26*k + 10. Let r(c) = 30*c - 151. Let g be r(k). Which is bigger: 2\/331 or g?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26010\/(-595))\/(-51))\/((-6)\/(-196))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 1294?\nAnswer: 159162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -3*p + 5*f, -3*f = p - 0*p - 124. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 41 + 16 = -5*f, -15 = 3*d + 2*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 2*w = -0*w + 100, 9*y - 76 = 2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 77, 29, -69, -235?\n\"Answer: -3*v**3 + 2*v**2 - v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.103 + 126.103. Let l = 248 - d. Let h = -122.00051 + l. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-33.01\nAnswer: -36.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/13)\/z)**(-2\/51)*z\/(z**(-7)\/z*z)*z**(2\/25)*z assuming z is positive.\nAnswer: z**(150401\/16575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 62 = -3*d. Suppose d = 5*k + 52 - 137. Let m(t) = t**2 - t + 4. What is the least common multiple of k and m(3)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 103*m + 325. Determine x(-55).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from exxee.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + 2*v**4 + 0*v**4)*(-4*v + 6*v - 8*v) - 4*v**2 - v**5 + 6*v**2 - 3*v**2.\nAnswer: -13*v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4485007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 40*i + 41. Let f be m(-1). Let t(w) = -2*w - 2*w**2 - 3 + w**3 + 0*w**2 + 6 - 4*w. Determine t(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42728 times -0.0421\nAnswer: 1798.8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 661251382 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 + 852*k**2 + 12668*k + 11820 = 0.\nAnswer: -197, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 20557660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34847, -34834, -34817, -34796, -34771?\n\"Answer: 2*g**2 + 7*g - 34856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6457568 * -1\nAnswer: -6457568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000722267 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1952 divided by -488.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 15 + 4 + (-3 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 246*f + 4924. What is k(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3168669469 - -3\nAnswer: -3168669466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - ((-2 - -1) + -5)) + 11 + -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 16, -j + 13 = s - 5. Calculate the least common multiple of j and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 254*l**3 + 348*l**2 + 8*l - 24. Let f(g) = 253*g**3 + 348*g**2 + 9*g - 28. Let u(q) = -6*f(q) + 7*i(q). What is the third derivative of u(m) wrt m?\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - s + 26 = 67*p, -s + 10 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1054*m**2 - 1162*m + 4. Let n(c) = -1055*c**2 - 1163*c + 6. Let i(o) = -2*n(o) + 3*x(o). Find the second derivative of i(k) wrt k.\nAnswer: -2104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.8 - 67. Let g = t - -9. Let x = -0.8 + 0.4. Sort x, g, 0.2 in ascending order.\nAnswer: x, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 + 9*v**2\/2 + 2*v. Let n be z(7). What is the second derivative of 2*k**2 - 4*k**n + k + 0*k wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286730 - -6?\nAnswer: 286736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(102) + (sqrt(102) - (sqrt(102) - -6*sqrt(102)*-1)) + sqrt(102) + sqrt(102))\/sqrt(6).\nAnswer: -1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/300*-5*(-8)\/(-60).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1357 and -46\/1524383.\nAnswer: 35060809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 8*q**2 - 4*q + 3. Let u(f) = -f**3 - 12*f**2 - 11*f + 4. Let x be u(-11). Suppose -x*g = -2*g - 12. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 434 - 427. Let z be (((-480)\/252)\/20)\/((-5)\/g). Sort 0.2, z, -12\/5.\nAnswer: -12\/5, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.180813427 rounded to four decimal places?\nAnswer: -2.1808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 19012974.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**6\/4 + 33*d**5\/20 - 8*d**4 - 3*d - 31. Factor j(l).\nAnswer: 3*l**2*(l - 2)*(5*l + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30a + -8b4?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 613*a**2\/5 + 78631*a\/5 + 974169.\nAnswer: (a - 329)**2*(a + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35\/((-4025)\/(-69))*50\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - 3*p**2 + 3*p**2 + 3*p)*(24*p + 30*p + 31*p) to the form k + z*p + c*p**3 + j*p**2 and give j.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -196173, -392252, -588223, -784086, -979841, -1175488, -1371027?\n\"Answer: 54*v**2 - 196241*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 3*i**2 + 0 + 1\/240*i**5 + 0*i**3 + 0*i - 1\/32*i**4. Factor k(l).\nAnswer: l*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 44940.\nAnswer: 44940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = -1. Let g = y + -7. Let b = g - -11. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5*s**2\/2 - 2*s + 2. Differentiate o(p) with respect to p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w = 0. Suppose w = 4*r + 8 - 0. Let h = 1318 - 1317.93. Put h, r, -1 in descending order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/10*(-1 - 1). What is the nearest to a in -0.3, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 1044000 = -4*o. Round o to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 42. Let h(g) = -g**3 + 5*g + 3. Let i be h(-3). Suppose -i*n + 19*n = 20. Let c(t) = -3*t + 28. Let w(d) = n*q(d) - 8*c(d). Give w(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-360) - 35\/(-30))*1*5. Solve -r*p - 119 + 107 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -54. Let d be (-114194)\/8 + (5 - (-38)\/r). Let y be d\/(-81) + (-2)\/9. Calculate the greatest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -68. Let q be (0\/(w + 0))\/3. Suppose q = -4*f + 30 + 2. Solve i + 5 = 0, 3*i + 1 = -2*v - f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1804\/24689?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 59. Let o = 9355 - 9342. What is the remainder when d is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39190 is divided by 19590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476972141 to the power of 1\/2, to the nearest integer?\nAnswer: 38431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let n be 8\/(-3)*(-18)\/4. Let z(f) = 9 - 21 + n - 13*f. What is z(i(v))?\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1082 (b) 4 (c) -56003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y + 36*y - 60*y to the form x*y + f and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 5*b - 1. Let u be g(-6). Solve -7*w - 9 = u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzz when three letters picked without replacement from {z: 6, y: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/287 and -55\/100204?\nAnswer: 701428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b**2 - 30*b - 4. Let c(u) = -57*u**2 + 50*u + 7. What is 3*c(p) + 5*h(p)?\nAnswer: -26*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 301. Let a be -1*(-3 + 2) - -2. Suppose -n + a*n - v = -4*g, 2*g - 4*n = 130. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491332887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -43.2. Let t = -1.6 + 1.7. What is the closest to t in 1, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 2 (c) -4 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40837.073062 take away 115?\nAnswer: -40952.073062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (13 - 7) - 2) + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6533 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 50*x - 100. Let n be k(2). Does 10 divide n + 25\/(-15)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 70, 510, -1.6?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*v + 16 = -4*r, -3*r + 12 = 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 11:56 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12) + 1\/(-6). Suppose x = 2*g - 4*g. Solve 3*y = 2*y - 3*i - 12, g = -4*i - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {f: 8, i: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + 1)\/4 - (-6)\/(-2). Solve m = -a - 4 + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (112\/10)\/(6\/45). Let t = 165\/2 - b. Which is greater: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 3. Let c(f) = -f**3 + 19*f**2 + 1. Let l be c(19). Let o be 1 + -6 - s*l. Solve -5*h + p + 10 = -4*p, -4*h - o*p = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4524*z**4\/7 - 18120*z**3\/7 - 14799*z**2\/7 - 3471*z\/7 - 18\/7 = 0.\nAnswer: -3, -1\/2, -2\/377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -50. Which is the closest to 1\/4? (a) 9 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24340212122 + 4?\nAnswer: -24340212113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 7. Let f be m(3). Let z be 4\/(-10)*f*-20. Is (z - 7) + (1 - -11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29638 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (608\/(-304))\/(4\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85050 (base 14) to base 9\nAnswer: 538437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 1)*(5*h + h - 3*h) - h - h + 3*h + 3*h - 4*h + 0*h + 8 - 8 + 5*h)*(23 - 23 + 5*h) in the form k*h + x + d*h**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3405\/2 > -1704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139790640 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4292*s - 4292*s + 104*s**4 - 132 wrt s.\nAnswer: 416*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 0 + (1806 - 1778).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49738 is divided by 66?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649509834 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*b = 161*b - 8205 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-10) - 2)\/(3\/(-2)). Let o = 0.1 + 0.4. What is the nearest to z in o, 1\/3, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 12015?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 5*o = -17, 3 = 3*j + 1284*o - 1287*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25676 - 51273?\nAnswer: -77060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2045.74 - -0.04.\nAnswer: 2045.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30288042 and -0.02.\nAnswer: -30288042.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/2 - 7105*o\/2 + 21405.\nAnswer: -5*(o - 6)*(o + 1427)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 6*m - 5*m + 12*m to the form q*m + x and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457721313?\nAnswer: 3, 7, 21796253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 255255?\nAnswer: -255303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 225 + 106 + 119.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/o**(-3)*o)*o**(-2\/29) assuming o is positive.\nAnswer: o**(-89\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-350)*-25*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 16*j**2 - 115*j + 16. What is the smallest common multiple of f(11) and 3?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5578?\nAnswer: 2, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose m = -0*f + 2*f. Let t be (-2 + (1 - f))*-3. Solve -1 = t*g + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 7:05 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:24 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 1 + 2 + 0. Does 28 divide h\/(-3 - 1508\/(-504))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 41 - 5. Calculate the remainder when 6 is divided by ((-276)\/(-28))\/3 - z\/(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 14, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4773 and 1745.\nAnswer: 8328885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u + 51*u + 1303 = -4*t, -5*t - 1626 = 4*u. Is t <= -2292\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-12517)\/(-9))\/1)\/(1\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 55. Suppose 2*q + 2*n - b = -n, 0 = 3*q + 2*n - 18. Suppose 5*p - q*f = -3*f + 5, p - 3*f - 15 = 0. Solve -4*a + 4 + 8 = p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 3, 2\/7, 60.5576, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340742?\nAnswer: 2, 170371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -57601010?\nAnswer: -57601016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (10 + -28)) + -11 + -1 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 288276 - 122213. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a - 4419 = -3422 + 5670 + 2510 for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28\/5 - -374\/65. Let z(k) = k**2 - 5*k - 3. Let f = 16 - 10. Let u be z(f). Sort c, -0.1, u in increasing order.\nAnswer: -0.1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fafa when four letters picked without replacement from faaaaafaaa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/54*(-7)\/91?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -5*j**3\/2 + 9*j**2 - 25*j. What is the derivative of r(h) wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -416, -380, -322, -242, -140, -16?\n\"Answer: 11*o**2 + 3*o - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - -0.02. Let y = 109 - 104. Which is the closest to 0? (a) y (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58105 - 5896*h + 58105 to c + v*h and give v.\nAnswer: -5896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-1 - 8) + -1264. Let x be j\/(-174) + 2*-3. Find r, given that -4\/3*r + 0 + 5*r**2 + x*r**3 = 0.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -13. Let o = 31 - 6. Let u = w + o. Let b(t) = -3*t**2 - t. Give b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a = -2831 - 2581. Calculate the least common multiple of 380 and a.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i + 4. Let l(n) = -4*n + 2. Let a(j) = -2*f(j) + 5*l(j). Suppose 3*z - 1 = 11. Determine a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 87. Let c(h) be the first derivative of 0*h + 0*h**4 + 0*h**5 + 0*h**b - 1 - h**6 - 2\/3*h**3. Find the third derivative of c(m) wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 13 + 1 = 5*q, 4*g - 3*q + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 5*k + 1. Let m(b) = -5*b**2 + 14*b - 3. Suppose 0 = 6*s - 2*s + 8. Let y be 11 - (4\/s + 2). Give y*o(x) + 4*m(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*s + 1860000, -4*s - 1571010 = 3*q + 288990. Round q to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, e: 3, v: 3}. What is prob of picking 2 f and 2 e?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -6 (b) -1.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 96.59. Let m = -2.95 - -3. Let t = a + m. What is t rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 9*h + 2. Let z be d(-7). Let u = z - -13. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce87 - 6?\nAnswer: ce81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5502949 is divided by 1415.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 363849 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0.926, -4, -2\/15, -1 in descending order.\nAnswer: 2, 0.926, -2\/15, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -635705, -1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 0) + (-525 - -560)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(9\/(-3) + 2). Suppose f*a = 2*a + 4. Solve -11 = x - a*x - 4*m, 4*x - m = -17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2851 - 2851 + q. Let l(m) be the second derivative of -m**5\/12 + 2*m**2 - m. Let g(u) be the first derivative of l(u). What is i(g(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002.906 millennia to months.\nAnswer: 24034872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 675867706*c*q - 514255330*c wrt q?\nAnswer: 675867706*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l - 14. Let n(s) = -32*s + 84. Let z(o) = -6*f(o) - n(o). Let d(u) = -4742*u. Determine z(d(t)).\nAnswer: -9484*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -123.9772. What is r rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1894*p*q**3 - q**3 - 65*q with respect to p.\nAnswer: 1894*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/3 - 3*o**2 + 2*o. Let a be p(5). Suppose 13 = a*f - 15. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = -2*i - 16, 4*i - 20 = 2*g. Let v be (1\/8)\/((-6)\/g). Let r = 3 + -7. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*k - 2, 543*k - 547*k = 5*i + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 18, 22, 24, 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5747174 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64.33 - 2.39. Let p = n - -0.72. Let l = p - -65.99934. What is l rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -2\/3, 4\/7, 1, 2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 19*b**2 + b + 39. Calculate m(19).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009536751?\nAnswer: 26357, 76243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 9*q. Let a(r) = -3*r**2 - 4*r. Let s(c) = -9*a(c) - 4*j(c). Let f(p) = 186 + 107 - 341 - 2*p**2 - 2*p**2. What is f(s(t))?\nAnswer: -4*t**4 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1360 = 82*d - 77*d. 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: Evaluate 21\/((-21)\/3)*(15\/(-6))\/((-1140)\/6992).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74080 is divided by 37033.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-24)*(-10)\/15. Let l be ((-3 - -3)*-1)\/(-1). Suppose 5*o + 17 = -u + o, l = -3*u + 3*o + 9. Does u = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k. Let f(m) = -2*m. Let o(z) = 5*f(z) + 3*w(z). Let t(g) = -4*g**2. What is t(o(q))?\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*q - 787. Let y = -109 + 289. Suppose -5*u + q = 2*z, -6*u + z + y = -3*u. What is u rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2620*c - 12. Let w(m) = -8*m**2. What is u(w(b))?\nAnswer: -20960*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 24*x - 16*x - 264 = 0, -4*x - 4208 = 2*t - 4316 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4595*c**2*f - 2*c**2 + c*f - f - 15563 wrt f?\nAnswer: 4595*c**2 + c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2166 divided by 19\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474147 - 5*n + 3*n - 474414.\nAnswer: -2*n - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201010100 (base 4) in base 13?\nAnswer: -1a1394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -22?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339186137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -109*j + 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-5) + 2\/10. Let u be ((-260)\/30)\/((-1)\/12). Suppose v*g = 3*g + u. Solve -3*d = 5*k + d, -4*k + 2*d = g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448239 divided by 561\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 74088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -315*j + 319*j - 5*r + 22, -2*r = -105*j + r + 186 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 - 8. Let y be 49\/(18\/q - -2). What is the remainder when y\/(-6) - 2\/3 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxyxx. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 13820*r + 2761349.\nAnswer: -(r - 197)*(r + 14017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.3 (c) 5\/3 (d) -2627 (e) -1 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**3 + 3*q**2 + 25*q + 2. Is o(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-280))\/(1\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*o**2 + 90*o**2 + 88*o**2 + 80*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 43*d - 40. Suppose -48 = -d*f - 16. Solve 8\/5*g**f + 0 + 12\/5*g**3 + 8\/5*g**2 + 2\/5*g**5 + 2\/5*g = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/630 and 193\/19874190?\nAnswer: 59622570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16575127 is divided by 94?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7201\/342 - 21) + (-2)\/9\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10303 + 32490. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/12 - 7*f**3\/6 + 99*f**2 + 152*f - 15. Suppose s(p) = 0. Calculate p.\nAnswer: -18, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/105 and 49\/1725.\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12901*h + 582 = 12950*h - 251 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1491 - 76027\/51. Let y be 1\/(-15 + 0 - 2). Let a = y - k. Do a and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - n - 76 = 0, 184 = 66939*q - 66937*q - 3*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - q**4 + q**4)*(4 - 3 + 3) - 2*q**4 + 0*q**4 + 0*q**4 + (0 - 6 - 9)*(q**4 + 2*q - 2*q).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005695 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 1 - r + (-1 + 1 + r)*(-52 + 255 + 215).\nAnswer: 417*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8 - (1 + -1)) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t - 183*t = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 841437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 + -3023361.\nAnswer: -3023364.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 10650.\nAnswer: -2\/5325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/61 or -26174?\nAnswer: -26174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxtstttstttxttxtt. Give prob of sequence txss.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + 8589\/49. Let c(k) = -k**3 - 2*k**2 + 2*k + 1. Let y be c(-4). Calculate the greatest common factor of b and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let g be 2\/(q - (-3 + 0)). Suppose 5*u - 4*n = 104, g*u - 38 = n + 6. Solve 4*j = 4*m + u, -j + 3*m - 1 = -11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3347, 3346, 3345, 3344?\n\"Answer: -a + 3348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208\/235 - -4\/47. Which is smaller: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 1, 2, 8, -131, -3 in increasing order.\nAnswer: -131, -3, 1, 2, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 115984?\nAnswer: -115989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 18. Find the third derivative of -2*w**5 - 13*w**x + 2*w**5 - 11*w**5 wrt w.\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-9)\/(-9)*-58)\/(22\/55*-10).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*i - 156 = -5*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-4)\/(-1144)) - (14 - 14). Let w = b + 291. Solve -w = 3*u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2200*f**3 - 4 + 5.\nAnswer: 2200*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 105416025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-6))\/(2\/(-6)). Let x = 800 + -556. Let i = x + -204. Is s greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.159936 micrometers to kilometers.\nAnswer: 0.000000008159936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*w = -x - 2828*w + 2, 20 = -5*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -24*m**5\/5 - 274*m**4\/5 - 179*m**3 - 133*m**2 + 184*m\/5 + 204\/5 = 0.\nAnswer: -6, -17\/4, -1, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 2*s**3 + 0*s**3)*(-s + s + s**2) - s + s + 3*s**5 - 4*s - 2*s**5 + 4*s.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 66*t**2 - 13542*t + 2466. Calculate d(205).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -5 - 1*-30. Suppose 13 = -j + v + 29, 4 = v. Calculate the greatest common factor of j and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -130, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1, -20, -1.\nAnswer: -20, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5009395 divided by 16981.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 times 1193808?\nAnswer: 2387.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55726 + 55722. Let w = -0.01 - 2.99. Which is the nearest to 0.1? (a) g (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4 and -45\/2726026.\nAnswer: 5452052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1965\/4, 0.13, -0.68.\nAnswer: -0.68, 0.13, 1965\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r + 3*t, r = -2*t + 5 - 3. Suppose 20 = -4*x, r*f + 5*x = 4*f - 311. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91809 divided by 8?\nAnswer: -91809\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(560)\/(-1*sqrt(10)))\/(-2*-1*sqrt(8)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 574*w**2 + 33934*w - 34510.\nAnswer: 2*(w - 1)*(w + 85)*(w + 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6426 (base 12) to base 3.\nAnswer: 120001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6498786?\nAnswer: 2, 3, 7, 154733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h**7\/14 - h**4\/12 - 22*h - 8. Let b(p) be the first derivative of a(p). Find the third derivative of b(d) wrt d.\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707010713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8137697 to 2 dps.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8248506.\nAnswer: 2, 3, 7, 277, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.967 times -2?\nAnswer: 9.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g + 9*g - 778*g**2 - 42*g + 15*g in the form x*g + o + f*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from pmpkmk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 - 16550*n + 11030625 = 0.\nAnswer: 925, 2385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38e + 5?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 5*m - 2. Let x(h) = 1. Let o(n) = -g(n) + 4*x(n). Let r be o(5). Let a = 27 + -18. What is the highest common factor of a and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8434633639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 615\/10 - 3\/(-2)*-1. Suppose -5*t = -2*a + 60, 4*t + k = -t + a. Let r be (1000\/t)\/(-1 - (-11)\/12). What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 4*c - 209. Let v be w(-17). Suppose 4 = 3*r - s, 0 = -3*r - 0*r + 3*s + v. What is z in 9\/5*z + r - 9\/5*z**3 + 3\/5*z**2 - 3\/5*z**4 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 47 = 5*m - 8, 4*m + 3*y = 21. Suppose 3*g = 2*h - m, 0 = 2*h - 6*h - g + 53. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let a = 0 + x. Suppose -1 = -w + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/2, -0.3, 0.5, -1\/4, -69 in increasing order.\nAnswer: -69, -3\/2, -0.3, -1\/4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvdmdvvvvddmvmd. Give prob of sequence vmv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -201, 1702 in ascending order.\nAnswer: -201, -5, -2, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 less than -46\/611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -21, -5, -1, -3, -962 in increasing order.\nAnswer: -962, -21, -5, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 119758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - (-91701)\/(-6))*(-40)\/25.\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 q, and 1 l when four letters picked without replacement from dqeqdddeeeeeeedlldld.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143231 or -143230?\nAnswer: -143230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 15093?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 47613904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 155*h**2 - 75*h + 12162. Determine b(-154).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -423826, -846337, -1268848, -1691359, -2113870?\n\"Answer: -422511*y - 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4042*n**4 - n**3 - 23*n**6 + 150*n**2 + 4042*n**4 wrt n?\nAnswer: -2760*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(14\/(-8)) + 42 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -199, -299, -383, -445, -479, -479?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39702588 and 178661646?\nAnswer: 357323292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7852\/13 - (-6)\/1. Let z = i + -595. Calculate the highest common divisor of z and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.08, 4, 2\/1143, 25, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5510587.778 rounded to the nearest one hundred?\nAnswer: -5510600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6900\/7 at most as big as -42\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 15. What is the second biggest value in -5, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15471, -62583, -141103, -251031, -392367, -565111, -769263?\nAnswer: -1004823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -52278*f - 627306. Give v(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 10. Let j(x) = -x**2 + 2*x + 13. Let r be j(a). Let t = 57\/5 + r. Is t bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -152. List the prime factors of 2*((-1101)\/f + -1).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)\/t*(t**3*t)\/t)\/(t**(1\/4))**(-23))**(-8) assuming t is positive.\nAnswer: t**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/28090 and -63\/20.\nAnswer: 56180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 341 and -0.01407?\nAnswer: 341.01407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 31368932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 + -0.08. Let h = -14\/23 + -73\/69. Let i = 191\/4 + -48. Which is the second biggest value? (a) i (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - u = -5, 59*h = 56*h + 5*u + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398900 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v**2 + 3*v + 48. Let z(d) = -25*d**2 + 5*d + 95. Let m(p) = 11*r(p) - 6*z(p). Is m(-7) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-18)\/90)\/((432\/(-45))\/(-8)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*2877.51.\nAnswer: 66182.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -0.599?\nAnswer: 25.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1458380.34 to the nearest 1000.\nAnswer: -1458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41088 and 2208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 5*h + 2. Suppose 5*v + 35 = 5*q, 0*v - 5*v - 33 = -3*q. Let k be j(v). Put k, 0, -1 in decreasing order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2425163 to the nearest ten thousand.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189945)\/(-197505) + 1\/(-19)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*l + 3 = -402, 2*m + l - 163 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4178.6163 and -0.13.\nAnswer: -543.220119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 6 = -6*b, 122*x - 100*x = -b + 20*x - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14, 3.2, 18\/5?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(80) + (sqrt(80) - sqrt(80)*1) - -2*(sqrt(80) + -2))**2 - (-4*(-3*sqrt(80))**2 - (-5 + (sqrt(80) + -2)**2)).\nAnswer: 8*sqrt(5) + 3685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151382 and 90706.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by -2.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c**4 + 1\/3*c**3 + 0 + 1\/60*c**6 + 0*c + 0*c**5 + 3*c**2. Find the first derivative of p(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 115. Let y = 22 + -19. Suppose y*m = m + l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h*h**(-1))\/h)\/h)\/(h*h\/h**(1\/3)))**(-3\/8) assuming h is positive.\nAnswer: h**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 5*y - 1. Let j be 27\/(-12) + 1\/4. Let t be q(j). Suppose 0*a + t*a = 2200. Round a to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 - 5*w**2 - 3*w**2)*(4003 + 86*w + 7529 - 87*w) to the form t + g*w + a*w**3 + u*w**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 2\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:50 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12150\/(-420) + 29)*21)\/((-129)\/(-4)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 336 = 6*k. What is the greatest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 13 = -2*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 - 4*g - 11. Suppose -s - 3*x - 3 + 5 = 0, s + 10 = 3*x. Let d(n) = n - 7. What is the lowest common multiple of v(s) and d(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 0*c - 4\/5*c**2 + 1\/5*c**3 + 1\/10*c**4 + 0 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 0*j**3 + 4*j**3 + (j + 2*j - 2*j)*(-1 + j**2 + 1) + j**3 + 2*j**3 - j**3 + (6 - 1 + 1)*(-3 + 4 + 0)*(-2*j + 5*j + 6*j)*(-j + j + j**2).\nAnswer: 59*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 126\/31 (b) 1.11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 + 5*w + 24. Let a(l) = 34*l**2 + 27*l + 120. Let f(p) = 2*a(p) - 11*i(p). Find the first derivative of f(d) wrt d.\nAnswer: -18*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:14 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -7.2. What is the closest to 0 in -3\/7, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*1 - sqrt(19)) + 3 - 2*-2*sqrt(76).\nAnswer: 3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 30 + 65)*(0*v**3 - 1 + 3*v**3 - 2*v**3).\nAnswer: 134*v**3 - 134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:43 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s - p - 4, 0 = 2*s - 2*p - 2. Which is the smallest value? (a) -4 (b) s (c) 11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 + 219*h - 95922.\nAnswer: -(h - 876)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -7. Let k = 5 + i. Which is the biggest value? (a) k (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/120 - 7*d**5\/60 - d**4\/12 - 7*d**3\/6 - d**2 + 29*d. Calculate g(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10100 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:54 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1134283 grams in tonnes?\nAnswer: 0.0000001134283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111011101100 (base 2) to base 14\nAnswer: -156c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59830928 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 865\/8 - 12967\/120. Let n(v) be the third derivative of f*v**4 + 0*v**3 - 1\/300*v**6 - 1\/525*v**7 - 12*v**2 + 0*v + 2\/75*v**5 + 0. Factor n(l).\nAnswer: -2*l*(l - 2)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -309271.6 to the nearest one hundred.\nAnswer: -309300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149502 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 - (8 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36494 and 232842?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-15)\/(-60)*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55181 = 953*b + 21826 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 2720713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + -3) + sqrt(35)\/(sqrt(10)\/sqrt(2)).\nAnswer: -2*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17968730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 5 + 19*b + 17.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v\/(v*(v*v**(-10)\/v*v*v)\/v)))\/v*v*v*v*v*(v*v\/(v**(-25)\/v)*v)\/v assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*w - 6. Let s = -0.34 - -5.34. Let g = s + -1. Which is the second smallest value? (a) w (b) 5 (c) g (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114484 is divided by 2168.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 328680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2 + 4. Let v be 6\/c + (-5)\/5. Let h(i) = -5*i**3 + i**2. Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349849514?\nAnswer: 2, 3, 13, 17305763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*q + 80, -5*q - 114 = 5*x + 186. Let d = -36 - x. Suppose -4*r + 103 = 5*n + 8, -n - 5*r + d = 0. Calculate the highest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5262 less than -5263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*w + 73, 0 = -5*l + 24 + 1. Solve -17 = -w*v - 147 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -605*j**5 - 330*j**4 + 7160*j**3 - 6890*j**2 - 6555*j + 7220 = 0. Calculate j.\nAnswer: -4, -1, 1, 19\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137374306 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjijjjf. What is prob of sequence ijjf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23947882?\nAnswer: 2, 7, 127, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.3. Let v = -0.2 + s. Let p = 10\/19 + -12\/95. Which is the closest to v? (a) -4\/5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.079 + 0.679. Let h = -14 - -9. Put h, -3\/2, t, 1\/6 in decreasing order.\nAnswer: 1\/6, t, -3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 < -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2467 (c) -3 (d) 1\/6 (e) 111 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 11*n**4 - 2*n**3 - 194*n + 192*n to the form h*n**2 + t*n**4 + k*n + f*n**3 + x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 6. Let a = -1 + 8. Let o be r(a). Calculate the remainder when 24 is divided by 63\/5 + (-6)\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -o - o, 5*o = 5*v. Let q = o + 3. Sort -7, 3, q in decreasing order.\nAnswer: q, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.08 - 8.08. Put 0, -0.1, t, 4 in increasing order.\nAnswer: t, -0.1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206116969*g**4 - 256602381*g wrt g?\nAnswer: 2473403628*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19020 divided by 3804.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 12.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 206221109665508.\nAnswer: 206221109665508.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.3625848 and 256502.\nAnswer: 256498.6374152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = -20. Suppose 0 = i + 9 - c. Let j = i - -8. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 82397 and 82397 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 11:39 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7))**47*k\/k**10*k**(3\/10)\/k assuming k is positive.\nAnswer: k**(4021\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4781 + 20\nAnswer: -4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/7 + 1528*k\/7 - 114176\/7 = 0. What is k?\nAnswer: -446, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 51. Let u be 156\/20 + (-8)\/d. Which is the second biggest value? (a) -1\/4 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.86899 centuries to months.\nAnswer: 75442.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4221347 and 2199?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z + h + 34, 18 = 2*z - 3*h. Suppose 4 = -4*t - 5*w + 30, -2*w = -4*t + z. Solve 0*j - 4*j = -4*f, t = -f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -p + 3*r + 2*r, 2*p - 4*r = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-8 - -3) + 7 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 + 0.82. Which is the closest to 1\/3? (a) -12 (b) g (c) -3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7444*v - 3 + 7446*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801374, 1602746, 2404118, 3205490, 4006862?\nAnswer: 4808234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 50. Suppose -2*p = -4*p + 16. Suppose 2*z + p = -3*f, -3 + 5 = 5*z + s*f. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34386318497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 9*s**2 + 538*s - 3663. Determine m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -d, 3*d = -2*q - 16 + 35. Let k = d - 3. Sort k, 5, -2 in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -27. Solve -x*u + 5*u - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 40\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321*y**2 - 308*y**2 + 568*y**2 to c*y**2 + z*y + o and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) - 20\/(-120). Let y(c) = 0*c - 3*c**2 + d*c + 5*c**2. Let b(s) = -6*s**2. Give b(y(t)).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 0 + (-130)\/(-15) + -9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058507 by -686169.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 5 (c) 1\/159 (d) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 254080?\nAnswer: 254080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 10. Calculate q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*m**2 - 237*m**2 - 244*m**2 - 217*m**2 + 933*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7970, -5 in descending order.\nAnswer: 7970, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:40 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8307945 and 139\/19044.\nAnswer: 33231780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33993 or 33875?\nAnswer: 33875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0765 + 2.0765. What is the nearest to n in -3, -1, -1.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l + 0 + 0*l**3 + l**2 + 1\/4*l**4. Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 483 - 483. Suppose 0 = -w - v + 2579, 2*w + 5*v - 5158 = -z*v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, e: 3, c: 2}. What is prob of picking 3 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.568 and -0.04931073511.\nAnswer: 0.51868926489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 - 39*r**2 - 13*r**5 + r**5 wrt r.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/13)\/s*s)\/s*s)\/(s**8\/s) assuming s is positive.\nAnswer: s**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*n**2 + 18 - 18)*(-4 + 5 + 2 - 4 + 3 + 2 + (1 - 1 - 1)*(6 - 2 + 2)).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p*p*p*p\/(p\/p**3)*p))\/p*p)\/(p\/p**(1\/2)))\/(p**3*p**(-4\/7)))**(-25))**(-5\/6) assuming p is positive.\nAnswer: p**(-15625\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -310258, 3 in increasing order.\nAnswer: -310258, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*v + 2410430 = -49*v. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 63 + -38 - -41?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 9*m - 10. Let g be v(-5). What are the prime factors of 149\/2 - ((-45)\/g + 4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 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: Suppose 2*z - 2*i - 13 = -11, z = -4*i + 16. Solve -3*t = p - z, -3*t - 8 = -7*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:27 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olotllololo. What is prob of picking 2 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3677, 3593, 3453, 3257, 3005?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600444 is divided by 1300222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/(-18)*27\/36. Let g(n) = -3*n**2 + 9*n + 13. Suppose -5 = -4*u + 3. Let k(w) = 0*w - 9 - w**u + 5*w**2 - 6*w - 2*w**2. What is q*k(p) + 5*g(p)?\nAnswer: -p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + y**2 + 2*y**2 + (-4 + 2 + 1)*(2*y**2 + 2*y**2 - 2*y**2) - 2*y + 2*y - y**2 - 7*y + 7*y - 7*y**2)*(3*y - y - y) + 4*y - 2*y**3 - 4*y.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.326 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -59 + (19 + (45 - 14) - 35)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*s - 310*j**2 - 486*s with respect to s.\nAnswer: j**2 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 0 (c) -3\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13714*p - 294. Let t(x) = -6*x - 1. Let v(m) = k(m) - 4*t(m). Let g be v(5). What is g rounded to the nearest one thousand?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 2201?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 + 129. What is the third biggest value in -3, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(19)*2 + sqrt(76)\/(sqrt(32)\/sqrt(8)) + sqrt(19) + -3)*-3 + 3)**2.\nAnswer: 432*sqrt(19) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30146 (base 8) in base 16?\nAnswer: -3066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373 is divided by 133.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*i**3*x**2 - 5*i**2*x**2 + 6*i**2 - 2*i*x**2 wrt i?\nAnswer: -1134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = -81. Let k be -3 + m + 1 + 1. What is the highest common divisor of 126 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386823 bigger than 23596252\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-5*v + v + 3*v) + (-23 + 68 - 15)*(v - 2*v - 2*v).\nAnswer: -88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 12*q**2 + 55*q - 27. Determine v(-7).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -91. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b + 0*b + 0*b)*(0 + 0 + 2)*(-515*b - 1304 + 1304) to the form r + h*b + o*b**2 and give o.\nAnswer: 7210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*9)\/(42\/(-140))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(2\/23)*(r*r*r**3)\/(r\/r**(-5)*r) assuming r is positive.\nAnswer: r**(-48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -33. Let x(p) = p**3 - 12*p**2 + 10*p + 11. Let a be x(q). Suppose a = 4*r - 40 - 120. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 47, 51, 57?\n\"Answer: x**2 - x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -129*q + 1. Let a be c(-1). Let d = -24 - -50. Calculate the highest common divisor of a and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 + 7 + (1 + 6 - 4)*(1 + 0 + 1))*(-4*j + 2*j**2 + 4*j)*(-4 + 3 - 1).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 + 22215*u - 22232*u + 4 - 9*u**2 - 13. Let x(l) = -91*l**3 + 94*l**3 - 4 - 9*l - 4*l**2 + l. Give 4*s(k) - 9*x(k).\nAnswer: k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 367, 1164, 2663, 5086, 8655, 13592?\nAnswer: 20119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-11) - (-664)\/(-22). Let o be 190351\/k - 4\/6. Let q = -6352 - o. Find the common denominator of q and -95\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-4)\/(-30)). Suppose 3*t - n = 10. Solve 38 - 13 = t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.5991 to 1 dp.\nAnswer: -575.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 5178 + 18*y**3 - 5178 - 30*y**2 + 0*y**3 in the form g*y + v*y**3 + d*y**2 + m and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/15 - 4*h**4\/3 - 26*h**3\/15 + 56*h**2\/15 + 56*h\/15 - 64\/15 = 0. What is h?\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3372089084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/15 - (-238)\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2930*j**2 - 865*j**2 + 672*j**2 - 3576*j**2.\nAnswer: -6699*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1760 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -881\/10. Let u be -30*(-16)\/400 - (-4)\/5. Suppose 0*k - 8 = 2*k, -u*x + 3*k + 14 = 0. Which is the biggest value? (a) t (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4643.119 days to nanoseconds.\nAnswer: 401165481600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -836 at most as big as -841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 33 = 6*u, 0 = -17*u + 15*u - 6. Put d, 13, 10 in decreasing order.\nAnswer: 13, 10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*s - 8, 28*f + 0*s = s + s + 40 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -559845, -1119773, -1679701, -2239629?\n\"Answer: -559928*w + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*i - 414*i + 2500*i in the form h*i + v and give h.\nAnswer: 2023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93016 - -93011. Let y = 68\/77 + -5\/11. Let w = -45 + 407\/9. Which is the third smallest value? (a) y (b) -1\/3 (c) o (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153\/615 + (-36)\/4428*6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*o + p - 5, 0 = 4*o - 5*p + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 36. Let w be l(-18). Suppose -10*v - 2806 + 11096 = w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 18596439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from lmymmmlllmq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -214, -328, -426, -502?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6419 (base 10) to base 8.\nAnswer: 14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758349621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o. Let z = o - 2. What is the units digit of (10 - (-1 - z)) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k - 3*k - k + (-1 - 1 + 1)*(1 + k - 1) + 8 - 8*k - 8.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*d = -8*d + 31, -43 = 5*z - d. Let c be (-44)\/z - (-2)\/(-4). Suppose 0 = 5*t + c*o + 5, -2*t - 3*o = -0*o + 7. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705 is divided by 7 + 23 - (-38 + 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 1, c: 9, x: 5, k: 1}. Give prob of sequence cxcs.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 1, w: 1, p: 1, b: 1, f: 1}. What is prob of picking 1 f, 1 w, 1 b, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11531355 divided by -45221.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**7\/315 + 7*j**6\/90 + 16*j**5\/45 + 2*j**4\/3 - 41*j**2\/2 + 57. Let f(k) be the second derivative of s(k). Factor f(m).\nAnswer: 4*m*(m + 2)**2*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 9*n**3 - 2*n)*(5*n + 28 + 24 - 6*n).\nAnswer: 9*n**4 - 468*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.06996 + 0.06996. Let d = -2 + 1. Which is the third biggest value? (a) 0.2 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwd when three letters picked without replacement from mmkooomgdkokwdd?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/15)\/(24\/162).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -12811318.\nAnswer: -12811319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 11*a = 13*g + 87, -26*a + 21*a + 33 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 8\/7, -2\/19, 0.2, -198.4, 2\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-2\/29))**(-3)\/((j**(1\/4))**(-26)*j**(-4\/9)\/(j*j**(-2\/5))) assuming j is positive.\nAnswer: j**(18611\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(56\/2)*(35 + -39)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 299\/1740 - 3\/580. Factor 0 - x*l**3 + 0*l + 1\/6*l**2.\nAnswer: -l**2*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -37. Suppose 0*h - 3*h = -3*q + 120, -o = h. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219922 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71117 at most 2129.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 + 2 + 1 - 13*v**3 + 0*v**2 + v**2 in the form r + h*v + i*v**2 + s*v**3 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + (-1)\/((-1)\/11). Let y(q) = -2*q + 18. Let m be y(c). Let b = 335 - 335.08. What is the third biggest value in 2, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -55. Let l = u - -28. Let z be (-8)\/70 + 4\/10. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.18 - 3. Let w = h + -1.18. Let n = 1.03 - 0.98. What is the closest to 1 in w, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2977769\/12068 + -5\/6034. Let q = 245 + x. Let r = -91 + 57. Calculate the common denominator of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from fafafagfffgga.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231876*m**6 - m**4 - 353*m**2 + 825?\nAnswer: -27825120*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (59\/(-118))\/(2\/76). Solve -x*a = -0*a - 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssukuysssbgsu. What is prob of picking 1 b, 1 g, and 1 u?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -78*m**3 + 2*m**2 - 30*m - 162. What is the units digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -35*w**2 + 7*w - 7. Let o(y) = -23*y**2 + 5*y - 5. Let a(n) = 7*o(n) - 5*u(n). Let c(t) = t. Calculate a(c(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -55*j + 770. Determine s(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5396675953 and 1525.\nAnswer: -5396674428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by (-13 - -13)\/(-2 + 0) - -137.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let c(m) be the third derivative of -3*m**5\/10 + 28*m**2. Calculate t(c(o)).\nAnswer: 648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ba (base 12) to base 8.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6, -5*m + n - 51 = -n. Let r = 4 + m. Let x(y) = y**2 + 4*y - 1. Let a be x(-3). Is a equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 - 1881 = -44*d + 28596. List the prime factors of d.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*x + 3327 = 6033 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*y - 1523 + y**2 + 32*y - 1358 in the form l*y**2 + m*y + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g. Let i(v) be the second derivative of v**4\/12 + v**3\/6 - 2*v - 7. What is i(h(q))?\nAnswer: 9*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -c + 3*n, -2*c + 4*n = 0. Let y(l) = c*l - 2 + 5*l**2 - 8*l + 1. What is the units digit of y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.877 - 10.123. Which is smaller: n or 10.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -5799 and 2947.\nAnswer: -17089653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -190. Suppose 6*d - 4*d = -u. Let q = d - -111. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275)*2 - sqrt(1100)*2*1)**2.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 124887 divided by -2191\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/234 + 53\/234. Which is the second biggest value? (a) 0.16 (b) 2\/15 (c) 4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24696731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -28. Let q = v + 5. Let h = q + 4. Sort 0.5, h, -1\/7.\nAnswer: h, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -i, 0 = -6*d + 5*d - i + 3*i - 3*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -49 - (-23 - -5 - (13 + (-66 - -36)))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15028327 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 8*g**2 + 0 + 10\/3*g**4 + 16\/3*g - 12*g**3 = 0?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 6. Let l(y) = -19 + 24 - 22 + 9*y. Let k(p) = p**3 + 26*p**2 + 41*p - 151. Let s be k(-24). Determine s*x(t) - 6*l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -581.8364 - -588.9. What is n rounded to one dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 1726*d + 6936.\nAnswer: -2*(d - 4)*(d + 867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076.58034 plus 0.2116?\nAnswer: 1076.79194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.120351522\nAnswer: 0.240703044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9) + 715\/(-3). Let n be p\/(-6) - 3\/(-18). Let r = 13 + n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/11 + 2404562*s**3 - 79350528*s**2\/11 - 8*s\/11 + 105800704\/11 = 0.\nAnswer: -1, 2, 13225088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88478154 to the nearest integer?\nAnswer: 9406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**3 - 98*x**2 - 8*x. Let z(n) = -2*n**3 - 32*n**2 - 3*n. What is -3*a(j) + 8*z(j)?\nAnswer: 2*j**3 + 38*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37210293473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -56. Suppose -2*h + b + 663 = 2*b, 3*b = l*h - 1351. Let f = h + -174. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**5 - 180*p**4 - p**3 + 265*p**2 - 73 wrt p?\nAnswer: -300*p**2 - 4320*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 + -3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 26*p + 23*p, -h = 5*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18206 or 67?\nAnswer: -18206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r = -75*r + 20. Solve 0 = 4*n - 4*m - r, -5*m + 2*m - 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -48 (b) 0.09 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 161 and -3.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29930, -29984, -30058, -30146, -30242, -30340?\n\"Answer: w**3 - 16*w**2 - 13*w - 29902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 16 = -2*p + 4*g, -8 = -3*p - 2*g. Suppose -x = -p*x. Let d(k) = -k**3 - k**2 + 2*k + 807. Is d(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245141 or -245102?\nAnswer: -245141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*((-12)\/8)\/(-3). Suppose 0 = -r*f + f + 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96436076?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 18*h - 3*r + 130968 = 0, -5*h = -3*r - 218320. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Find the common denominator of 136\/(-20)*301\/344 and (-118)\/l*1\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n - 4, 15 = -l + 5*n. Let z(d) = 14*d + 7. Is z(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let p be (-2 - -2)*h\/(-6). Suppose p*v - 14434 = -7*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34275 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-5) + -14 + 4. Let o be (2\/d)\/((-121)\/(-88)). Let u = -171.5 - -171. What is the fourth smallest value in -2\/3, u, -2\/19, o?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19407 - -51895. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mutfn. What is prob of sequence fnt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*v - 11. Suppose -5*i - 15 = 2*q, q - 4*q + 2*i + 25 = 0. Suppose -v*n = -q*n - 203. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 7. Let d be h(7). Let b(a) = -a - d*a + 2 - a. Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 10. Let g be q(0). Let v = g - -7. Let k = v + 6. Solve -k = -2*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133889, -267793, -401697, -535601, -669505?\nAnswer: -803409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 64 + 10 - 8*c - 3*c**3 + 6 + 6*c to o + l*c + v*c**3 + s*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 9*g**2 + 3. Let j be r(9). Let p be -9*((-15)\/(-9) + -2). Let v = 0 + p. Is j greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87779.82 micrometers in meters?\nAnswer: 0.08777982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sshb when four letters picked without replacement from lsbbbwbwslhwsbb.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.91 - -2.88. What is the nearest to -1\/3 in y, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u - 65. Calculate v(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 84*g**2 - 3 - 4*g - 26*g**2 - 15*g - 11. What is the hundreds digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (300\/(-18))\/(-5)*(-9)\/(-6). Solve -5*a = v*x, x + a - 2*a = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9594405, 2, -2 in descending order.\nAnswer: 9594405, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8608d (base 15) to base 8\nAnswer: -1476647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45660567.\nAnswer: 3, 67, 227167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94813 - -2aa?\nAnswer: 94b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 3, e: 3, h: 3}. What is prob of picking 1 e, 1 c, and 2 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 3*p + 4. Determine d(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g + 39. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19*v**2 - 2841*v - 4237. Give y(151).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -26 + (-2 - (-71)\/9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/18*(-24444)\/(-9506)*2\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 4*l - 7. Let p be t(5). Let b(f) = f**2 - f + 8. Let k be b(0). What is the highest common factor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100100100101110100011 (base 2) to base 5.\nAnswer: 2340041230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 1527012.\nAnswer: -1527011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Let k = w - -15. Suppose 120 + k = 3*c. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -125*(4 + -4 + 1). Let j = g - -20. What is the tens digit of 2*(-2 - j\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1031320301 (base 4) to base 13\nAnswer: -b2295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33852, -31073, -26438, -19947?\nAnswer: -11600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 9. Let f(u) = u - 1. Give 4*f(w) - g(w).\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646, -659, -672, -685, -698?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*q, -12*x + 15*q - 17*q = 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2365.9 - 2209. Let v = p - 150. Let l = v + -7. Is l at least -0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 50872.2 months?\nAnswer: 423.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -4.43.\nAnswer: -7.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 9*z - 19. Let m be u(11). What is the common denominator of -79\/26 and (105\/(-1750))\/(m\/113)?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/831 in -0.2, 0.3, -2.394, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130924 is divided by 128.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2 + 2*x - 3. What is d(8)?\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 - 2?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 8428.\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:16 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -180 from 10549366.6.\nAnswer: 10549546.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -95020 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6920 and 124383540.\nAnswer: 248767080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -a, -4 = 5*d + 5*a + 1. Let p(f) = -f**3 + 3*f**2 + 2*f + 5. Calculate the remainder when 43 is divided by p(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -30, -45, -60, -75?\n\"Answer: -15*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 169\/3 - (-4)\/(-12). Let k be (-2 + 1\/1)*i. What is the units digit of (-2)\/(-10) + k\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 5480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.96 (b) -2\/19 (c) -1 (d) 2 (e) -5 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 12*x + 2*x + 8*x. Suppose -2*z - 2*z = 20, 0 = 5*f + z + 10. Let y(h) = h + 2. Give f*y(b) - 2*c(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 33, 28, 19, 6?\n\"Answer: -2*v**2 + 5*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 860681000 rounded to the nearest 1000000?\nAnswer: 861000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**4\/10 + 16*u**3\/3 - 113*u**2\/5 + 148*u\/5 + 8845. Factor o(h).\nAnswer: -2*(h - 37)*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1 - -35.3.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 59\/3*b + 28\/3*b**2 + 1\/3*b**3.\nAnswer: (b - 1)**2*(b + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 82.7. Let m = 15 + -7. Let j = m - x. Sort j, 2\/13, -2\/11.\nAnswer: -2\/11, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by 1038?\nAnswer: -157\/1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208156?\nAnswer: 2, 3, 184013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 679730*z - 21076435 = 0. What is z?\nAnswer: -135977, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -9. Suppose u*g - 1 = -5. Is 0 + (g - -43 - 2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 4*2\/(-4). Suppose -2*h - h + 6 = y. What are the prime factors of (-5 + (-12)\/(-4))\/h + 51?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 2*w = 3586 - 3658, 9 = s - 5*w for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 - 3*t**2 - 3*t. Let p(g) = -g**3 + g**2 + g - 1. Suppose -4*j = 5*n + 262 - 258, 0 = j - 2*n + 1. Determine j*d(q) - 3*p(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -101479\/101?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(128) + 1 - (sqrt(128) + 1)*4 - (sqrt(24)\/sqrt(2)*6)\/(sqrt(600) + 2*sqrt(600) + sqrt(600))) + 0)**2.\nAnswer: -483*sqrt(2)\/10 + 233489\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/121, -1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 476, 930, 1384?\n\"Answer: 454*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28346494 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 1133 - 813 + 1140 = 0. What is the greatest common divisor of t and 3358?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(96)*-1)\/((sqrt(36)*-2)\/sqrt(12)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 18 = 12. Let x(j) = -14*j - 23. Let i be x(b). Solve i*a - 33 = -58 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let o be d(2). Suppose 4*r + 4*b - 196 = 64, -b + 4 = o. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 3*m - 94 - 5*m**3 - 3*m**3 + 0*m**2 + m**2 in the form s*m + r*m**3 + p*m**2 + l and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -5 (c) 3\/7 (d) 3 (e) -8 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3 + 21256*y**2\/5 - 275143*y\/5 - 1440988\/5 = 0.\nAnswer: -4, 17, 21191\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3597 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323781.\nAnswer: 53, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + p + 7, 4*z + 2*p - 191 = -215 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-42))\/((-200)\/(-350)*18\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*i**3 + 122*i**3 + 2*i + 0*i - 2*i**4 + i**2 as q + j*i + u*i**4 + t*i**3 + p*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d + 1. Let v be h(-3). Let f = v + 64. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {g: 4, r: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/35 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 0. Let d(t) = -2*t + 4. Let o be d(-5). What is the greatest common factor of o and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + 2 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/160 + t**5\/80 + t**4\/2 + 5*t**3\/2 - 49*t**2. Suppose j(r) = 0. What is r?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 2, s: 3, o: 3, q: 5}. What is prob of sequence qs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 9239892?\nAnswer: -9239889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 214850064 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524498 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*v + 291*v + 651500 = 0. Round v to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/30)\/(8\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 + l - 5. Let k be g(7). Find the second derivative of -53*s**5 + 0*s**2 + 58*s**5 + 14*s + 0*s**k wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o + 3. Let m be v(2). Let q = m + 28. Is 6\/q*(-1 + 36) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27450, -28712, -29960, -31188, -32390, -33560?\nAnswer: -34692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 + 4*q**4 - 10*q**3 - 28*q**2 - 15*q = 0. What is q?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Suppose 0*d - 20 = -4*d. Suppose -d*b + 4*y = -410, 2*b + 224 = 5*b + r*y. What is the remainder when b is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 2)*(0*k + 0*k + 2*k) + 122*k - 32*k + 24*k as g + r*k and give r.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (sqrt(228) + (sqrt(228)*-1 - sqrt(228)))) + sqrt(228))*4 - (1*sqrt(228)*4 + sqrt(228)))\/(5*(sqrt(588) - (4*sqrt(588) - sqrt(588))))*4.\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11 = 3*n - 39, -55 = -5*a - 2*n. Let g(m) = a*m + 44*m**2 - 19*m + 7*m. List the prime factors of g(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 981, -8, 5, 3 in descending order.\nAnswer: 981, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132*y + 204 = 1115*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:04 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 7. Let y = -11 - n. Let t = 385 + -384. Which is the biggest value? (a) y (b) 0.5 (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(352)*1 + sqrt(352))*3)\/(sqrt(56)\/(sqrt(35)\/sqrt(5))))\/((sqrt(4) - sqrt(100)*-2 - (sqrt(16)*-1)\/sqrt(4))*5).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -5 + 0 - (-1 - 3). Suppose -3*f + 85 = u*d, -3*f - d = -0*d - 91. Suppose 0 = 2*c - r - 25, 0 = -c - c - r + f. Is 17 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**1*x)**(7\/5)*(x\/(x*x**0))\/x**(2\/5)*(x**8\/((x**0*x)\/x*x))**5 assuming x is positive.\nAnswer: x**(201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26601*b = 26581*b - 40 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8294 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -10. Let j = -13 - -15. Suppose 0 = -0*x - j*x + a. Solve -5*i - x = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3304 + -1642. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**3*q**2 + 15*p**3*q + 21*p**3 - 102*p**2*q**2 + 3*p*q**2 + 3*p*q - 21*p wrt q.\nAnswer: -10*p**3 - 204*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4 - 2*q**2 - 6 + 6 - 2*q. Let t(p) = p**2 - p - 1. Let c(a) = a**2 + 5*a - 2. Let b(n) = c(n) + 2*t(n). Let v(m) = -3*b(m) - 4*s(m). Determine v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71500 = -8*w + 96340. Suppose 3*d - 4*k = -w, -2*d - 20990 = d - 2*k. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4 - 4)*(16*d + 10*d + 212*d + 54*d).\nAnswer: -584*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 + 4 = -4*o, -4*s - o + 42 = 0. Let z be (-2)\/s + 16\/5. Find the second derivative of -57*i - 2*i**z + 69*i - 5*i**3 wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 1 = -3*o + p, -5*o + 7 = 4*p. Let l(i) = 36*i - 31*i + 61*i + 2. Let q be l(o). Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 15*k - 28. Let x be 32\/56 + (-31)\/k. Solve 16 = 3*h + 2*f, 5*f - x = 5*h + 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 3*c**2 + c**2)*(-4*c**2 + 0*c**2 + 2*c**2) - 39*c**4 - c**3 + 14*c**4 + 14*c**4 to the form i*c**3 + o*c**4 + a*c**2 + y*c + t and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1 - 6\/(-3)). Let b(j) = 5*j - 2 + 2*j - 2*j. Let n(y) = y. Calculate i*b(l) + 3*n(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 394325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:28 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -192170.312\nAnswer: 576510.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) -2 (d) -193 (e) 0.4 (f) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.3 + 16.30187. What is p rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260007, 520015, 780023, 1040031, 1300039, 1560047?\nAnswer: 1820055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - b + 3*b)*(-8 + 11 + 1 + 2*b + (2*b + 0*b - 4*b)*(-1 - 2 + 1)) to the form q*b**2 + i + t*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.774 rounded to the nearest integer?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -33910040 to the nearest 100000.\nAnswer: -33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*i = -4, -4*m = 12*i - 7*i + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749776.\nAnswer: 2, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 717788 divided by -6\nAnswer: -358894\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010 - -100?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4622*v + s - 16 = 4619*v, 0 = -v + 5*s - 32 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-69)\/6)\/((-2)\/116). Suppose -4 = 4*o, 0 = -2*k + 3*o - 20664 + d. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -126. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l + 5. Let o(z) be the third derivative of 7*z**4\/24 - z**3\/2 + 3*z**2. Let s(i) = 5*d(i) + 8*o(i). Give s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/8 + 4*x**3\/3 - 2*x**2. Let h be r(-4). Suppose 0 = 6*u - 12 - 114. Is u <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -0.2, 38, -0.03, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 8*v - 3. Let a be j(-6). Suppose 0 = 2*y - 5*y + a. Find the third derivative of -4*c**2 + 3*c**2 + 0*c**2 - y*c**5 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 876*j**2 + 3456*j - 3440 = 0. What is j?\nAnswer: 2, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157475 + 522508. Let r = b - 679982.7399896. Let z = r + -0.26. What is z rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 15*p**5 + 0*p + (-4 - p**3 + 4)*(-15*p**2 + 110*p**2 + 54*p**2).\nAnswer: -164*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49283 + -25548. Suppose 4*b - n = -5*w, -6 = 2*w - 4. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -7, -3 in decreasing order.\nAnswer: -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4 - 12\/8)*1. Let f = -54 - -55. Put -2, y, 3, f in decreasing order.\nAnswer: 3, f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 2*y + 27. Suppose o = y*r + 4832, 5*o - 12909 = -4*r + 11327. Suppose h + 3*h - 5*p - 3853 = 0, o = 5*h + 3*p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/(2\/46). Let h be n\/(-7) - (-2)\/(-7). Let m be ((-224)\/(-280))\/((-4)\/(-10)). Solve -g + 0 - 1 = -m*l, g = 3*l - h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5e6 (base 15) in base 11?\nAnswer: 100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*o - 3449, 5*t - 3760 = 4*o + 1984. Suppose -8*n + n = -t. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = 2*g - 48, -4*u = 2*g - 38. Let q(w) = -w**3 + 7*w**2 + 16*w - 2. Let z be q(7). Calculate the highest common factor of z and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - (-35)\/30) + (-3190)\/225 + 14)*4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**2 - w + 3*w**4 + 21*w**3 - 3 - 2*w**4 - 23*w**3 - 1 + 3*w to d*w**3 + s*w + u + k*w**4 + q*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + -3 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 37*v - 184. Let c be l(-6). Let f(x) = 2*x**2 + 2. Determine f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from labbaydbbldbdb. Give prob of sequence dl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2970 - -3?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493417 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: Let x(a) = 2*a**3 - a**2 + a - 3. Calculate x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p**5\/5 + p**4\/4 + 580*p**3\/3 + 438*p**2 - 5453. Find the second derivative of r(x) wrt x.\nAnswer: -24*x**2 + 6*x + 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2539 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 12*a**2 - 9*a + 8. Let f be v(-11). Calculate the remainder when 764\/3 + f\/21 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**2 - 25*m - 90. Let u(j) = 3*j**2 - 8*j - 30. Let c(s) = 7*u(s) - 2*w(s). Let z be c(11). What is the greatest common divisor of 75 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(r - 3*r + 0*r)*(-42 + 56*r + 42) + 3 + 0*r**2 + 11*r**2 - 3*r**2.\nAnswer: -216*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207501 (base 9) to base 11.\nAnswer: -84960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 14*z - 5 = 0. Let q = -132.6 + 133. Which is the third biggest value? (a) z (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k + 116. Let v = -54 + k. Suppose 2*o - v*g = 162, -g + 167 = 5*o - 183. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985910.\nAnswer: 2, 5, 19, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (92\/(-6))\/((-11)\/(-693)*-6) and 28?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1551 divided by 5.\nAnswer: -1551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.17. Which is the closest to 0? (a) -2\/15 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 72*d + 1316. What is g(-17)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 502*z + 58184. What are the prime factors of j(0)?\nAnswer: 2, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2\/3*c**3 + 1\/2*c**4 + 0 + 0*c**2 - c. Factor m(a).\nAnswer: 2*a*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*p = j + 21, -3*j - p = 14. Let b(n) = n**2 - 17*n + 2. Let o(g) = g - 1. Let k(z) = j*o(z) - b(z). Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5318529231 to the power of 1\/2, to the nearest integer?\nAnswer: 72928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49497, 49175, 48863, 48567, 48293, 48047, 47835, 47663?\n\"Answer: h**3 - h**2 - 326*h + 49823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 615161 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7351 + 398095 = 24*r - 200784. Does 37 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -2*i**5\/15 + 8*i**2 - 19*i. Let n(c) = -c + 0*c + 3*c. Give n(p(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 601*s**6\/6 - s**2\/2 - 3*s - 149. What is the second derivative of n(q) wrt q?\nAnswer: 12020*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45800 or 366405\/8?\nAnswer: 366405\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10)**(-2\/33) assuming p is positive.\nAnswer: p**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103749\/4 or 25936?\nAnswer: 103749\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.037? (a) 2\/21 (b) 4\/7 (c) 0 (d) 2 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26\/11 (b) 0 (c) 0.1 (d) -2\/15 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - sqrt(176)*2) + sqrt(176))\/sqrt(11) - sqrt(16))\/sqrt(8).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 24 = -3*l, l + 22 = 3*m - l. Let d = 18 + -13. Let c be d - (m\/2)\/3. Solve 7 = c*q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 44. Suppose 14*n - 15*n + 12037 = i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than or equal to -1.585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z - 3. Let k be 15\/(-2) + 1\/2. Let p = k + 11. Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/6 + 23*f**3\/2 - 91*f**2 - 1. Calculate u(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:40 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35427*2.\nAnswer: -0.70854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:17 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 1. Suppose 8*o - 168 - 88 = 0. What is the remainder when o is divided by u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900) + 1 + -4)*5 - (sqrt(5472) + 1*sqrt(5472))\/(sqrt(2) - (sqrt(128)*-1 - sqrt(2))))**2.\nAnswer: -2928*sqrt(19) + 4530361\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16773 + -16772.5. What is the closest to 0 in h, -9\/13, -6\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388563.5 - 2?\nAnswer: 388561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477572597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = x + 2, w = -3*x + 11. Let c be (4\/5)\/(w\/(-5)). Suppose -5*g = 4*b - 46, g + c*b - 25 + 3 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3312 (base 5) to base 11\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145356065?\nAnswer: 5, 163, 178351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 453944, 455622, 457300, 458978, 460656?\n\"Answer: 1678*m + 452266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ad11 (base 16) to base 5.\nAnswer: -21103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4464*c**3 + 272*c**3 + 2564*c**3.\nAnswer: 7300*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68 + 14*u**4 + 68 + (-1187*u + 1187*u + 2*u**2)*(0*u**2 - 3*u**2 + 7*u**2).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17958790 to the nearest one hundred thousand.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9. Let q = 6 + s. Let x(m) = -m**3 + 7*m**2 - 3*m - 8. Determine x(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 62*o**3 + 10*o**2 + 13*o - 244. Is f(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 36. Suppose -p = -q + 18. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 27. Let s(j) = -j**4 - 5*j**3 - 5*j - 12. Let g(z) = z**4 + 6*z**3 + 6*z + 12. Let l(v) = c*g(v) - 6*s(v). What is the derivative of l(d) wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.2 - 11. Let a be ((-1)\/182)\/(4\/8). Let j = -2\/13 - a. What is the smallest value in -1\/6, k, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9))**(-2\/13)*(a**(-1\/3)\/a*a)**(-3\/11))**2 assuming a is positive.\nAnswer: a**(146\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18791 and 875007.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 11947.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by 17584\nAnswer: -51\/2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(6\/11)\/b**(2\/5)*(b**16)**(1\/21) assuming b is positive.\nAnswer: b**(1048\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/7 (b) -5.7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, n: 5, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 7*k**3\/6 + k**2 - 60*k. Let u(y) = -4*y - 1. Determine -3*p(g) - 5*u(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.2343 grams in nanograms?\nAnswer: 728234300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.64314 * -125\nAnswer: -80.3925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58491*h**3 - 49949*h wrt h?\nAnswer: -350946*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2 + r + 3. Let m be t(-2). Let y be (1\/(-1))\/(1\/m). Sort -5, 0, y in descending order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 5, -2802884 in descending order.\nAnswer: 5, -7\/4, -2802884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 3*w**5 - 5*w**5 + (18*w**3 + 0*w**2 + 0*w**2)*(0*w**2 - 51*w**2 - 13*w**2).\nAnswer: -1151*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n)*(-4*n - n + 4*n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 13*q + 40. Let u be d(4). Let g(b) = -5*b + 8. What is g(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4386 + 312 = -162*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.08, 0.061, -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/16)*(t\/(t**(6\/7)\/t))\/t*t**(2\/23)*t**(4\/11) assuming t is positive.\nAnswer: t**(46923\/28336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112783 or 112786?\nAnswer: 112786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c - 4*l - 1568 = 0, 0 = -5*c + 3*l + 1956. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kdddkkkdkkkddd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2454 and 9816.\nAnswer: 9816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 45*b - 36. Let d be f(41). What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6779342 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 251*w**2 + 45*w**2 + 13*w - 480*w**2.\nAnswer: -686*w**2 + 13*w + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (2 - (7 - 11 - 12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 340 - 182 - 613*n + 143 + 68 + 244 wrt n?\nAnswer: -613","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -r + 22, 5*a + 8 = a. What is the least common multiple of (66\/231)\/(((-27)\/42)\/(-9)) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 575, -11, -5, 5 in increasing order.\nAnswer: -11, -5, 5, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o - 3. Determine t(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 201.2864982.\nAnswer: 201.6864982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + 40 + (60 - 59).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707099659?\nAnswer: 17, 389, 258143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 301, 4332.\nAnswer: -1, 301, 4332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154035991.\nAnswer: 3, 47, 257, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 44034 and 234.\nAnswer: 44268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54478 is divided by 3185.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235188 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.86 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 5*2*sqrt(300))**2 + sqrt(300) + -5 + sqrt(300)*2 + 4*(sqrt(300) - (sqrt(300) + -1)**2) + 5*sqrt(300)*-1.\nAnswer: 100*sqrt(3) + 35091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13602 - 9635. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.4389 + 0.1611. What is q rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 1. Suppose 4*r - 22 = -2*u, -3*r + 2*u - 28 = -8*r. Calculate p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + x - 3, -2*d - 3*x - 4 = -13. Let u(j) be the second derivative of j**5\/20 - j**3\/6 - 11*j**2\/2 - 425*j. Determine u(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let o be (-6)\/(-4) - (-4)\/(-8). Which is the third biggest value? (a) m (b) 4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(42)\/sqrt(6)*-4.\nAnswer: -4*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 78*c - 7. Let t(s) = 151*s - 17. Determine 7*d(a) - 3*t(a).\nAnswer: 93*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-45))\/(4\/678). Let m = -2224\/45 + x. Calculate the common denominator of 17\/8 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 7587900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 1612*c\/9 + 324818\/9.\nAnswer: 2*(c + 403)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -200*t + 62. Let s(g) = 134*g - 61. Give -2*c(n) - 3*s(n).\nAnswer: -2*n + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 2*i**4 + 4*i**4 + (-3*i + 2*i + 0*i)*(i**2 - i**2 - 2*i**3) - 4624*i**4 - 3095*i**4 - 769*i**4.\nAnswer: -8485*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36\/47, -598, 0.02, -10 in descending order.\nAnswer: 0.02, -36\/47, -10, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -3\/8 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*35\/10*292\/(-28616)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1*sqrt(19) + sqrt(19))*6 - 1*sqrt(684)))**2*-3.\nAnswer: -2079 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2045745, 4091492, 6137237, 8182980?\n\"Answer: -a**2 + 2045750*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2158728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-260)\/12)\/((-2)\/6). Let v = -45 + y. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/9*1*3. Let q = -16 + t. List the prime factors of (12\/9)\/(2\/q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/31 - 4653\/752?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h. Let k(f) be the third derivative of 0 + 0*f**3 + 5\/12*f**4 + 0*f - 77*f**2. Give k(p(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5449*p**2 - 4*p. Let k(l) = -3*l. Calculate a(k(z)).\nAnswer: 49041*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-11049)\/((-14097)\/(-111))*(-4)\/(-60)\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -569.21 rounded to the nearest integer?\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 6*s - 6. Let y be k(-4). Suppose -3*o = 4*u - o - 10, 5*o - 1 = y*u. Sort u, 5, -1 in descending order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*c - 1638 = -166*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = 0, -2*k - 5*n = -3*k - 12. Suppose 0*q = q + 1. Let z be q\/((-2)\/(8\/10)). Is z at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -394.3512554 to 2 decimal places.\nAnswer: -394.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + 14*t - 20. Let n(w) = 14*w**2 - 3*w - 2. Let y(u) = -u**3 + 43*u**2 - 10*u - 7. Give t*y(x) - 7*n(x).\nAnswer: -2*x**3 - 12*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/17624 or -1?\nAnswer: -3\/17624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4809875, -9619768, -14429661, -19239554, -24049447, -28859340?\n\"Answer: -4809893*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 + (-30)\/(-5). Suppose y*h - 40 = -h. Let z be 6\/(-4)*h\/(-3). Solve -6*i = 3*u - i + 7, 2*i + 9 = z*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3b (base 12) to base 3.\nAnswer: 2001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1783\/3 + 619. What is the common denominator of k and 44\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51919155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 37*a. Let m(x) = -1506*x**2. Calculate q(m(r)).\nAnswer: -55722*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907 + 2*u + 312 + 314 - 12*u + 300.\nAnswer: -10*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.5 and -24065661455.\nAnswer: -24065661451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333.26 - -328. Let p = u - -5.06. Which is bigger: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 17*g - 632. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 8396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.010958 - 2494396870\nAnswer: -2494396870.010958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 divide 13573579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 83 = 15. What is the lowest common multiple of v and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/11)*n)**(-1\/9)\/(n**(2\/23))**(2\/11) assuming n is positive.\nAnswer: n**(-197\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.19548479 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 28*i**2 + 220*i - 3453. Let b be x(14). What is the highest common divisor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -838 + 9216\/11. Let n = 0.06 + -0.32. Let m = n - -0.06. Is m < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 8*h + 14. Let i be g(-9). Suppose 160 = i*r - 185. Suppose a - 16 = r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103879221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 34 = 2*u. Suppose 152*m - 1330 = 147*m. Let c = 555 - m. What is the highest common divisor of c and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - -8)\/(1*3\/226)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2\/7 - (-500)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -5, -1, -2972.\nAnswer: -2972, -5, -1, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**3*o**2 - 3172*a**3 - 2*a**2*o - 2*a**2 + 311*a*o**2 + o**2 + 4 wrt a?\nAnswer: 84*o**2 - 19032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37335.\nAnswer: 3, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*f**3*v**3 - 202693*f**3*v**2 + 1468001*f**3 + 4 wrt v.\nAnswer: 75*f**3*v**2 - 405386*f**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 1731 = -1767. Let m be (-6)\/((-3)\/(-1))*10\/r. Let y = -0.1 - -0.6. Which is the third biggest value? (a) 0.9 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**3 - 5*w**5 + 211*w**4 + 4*w**2 + 10*w + 21*w**2 - 216*w**4.\nAnswer: -5*w*(w - 2)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 24. Let z(m) = 1. Let l(o) = k(o) + 3*z(o). Let r be l(-5). What is the greatest common divisor of r and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2*i**2 + 2 + 2 - 8)*(-6*i + 5*i + 2*i)*(-21*i + i - 32*i).\nAnswer: -104*i**4 + 208*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4 = -u, 23*u = 27*u + 4*k + 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 500*f - 502 = 0. Calculate f.\nAnswer: -1, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14827587 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 - -3. Let o be ((-3)\/6)\/(-1)*16\/(-20). Let y = o + 4\/5. What is the nearest to -1 in r, -3\/4, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 - (-9 + 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m, 2*v - m + 153 = 686. Is 53 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5054\/5 + 24\/5*t**2 - 171\/5*t + 1\/5*t**3 = 0. Calculate t.\nAnswer: -19, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0 - sqrt(17)) + (-2*sqrt(1377))**2 + 1 + sqrt(153) + 5.\nAnswer: 5*sqrt(17) + 5514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.39, -1 in ascending order.\nAnswer: -1, -0.39, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/10 - 7*t**4\/3 + t**3\/3 - 695*t**2\/2 + 21*t - 14. Find the second derivative of l(s) wrt s.\nAnswer: 36*s**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4379 times -103\nAnswer: 45.1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4872 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1592704 divided by 4\nAnswer: 398176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02655851 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 629*k**3 + 3*k**2 - 9*k + 381877?\nAnswer: 1887*k**2 + 6*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 594. Let l = k - 516. Which is smaller: l or -32\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3\/2 + n**2 + 13*n. Let p be 1*(5 + 0 + -1). Determine k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 57. Suppose -9 = -y - x - 4, 0 = n*y + x - 11. Calculate the smallest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**5 + 1\/15*n**4 - n + 0 - 1\/105*n**7 + 0*n**2 - 2\/75*n**6 + 1\/15*n**3. Factor t(p).\nAnswer: -2*p*(p - 1)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*v - g, 0 = 3*v - 2*v - 4*g. Let a(m) be the first derivative of 2*m**2 - 10*m + 11. What is the smallest common multiple of v and a(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 150928*i - 6 - 16.\nAnswer: -150928*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d - 4*y, -3*d + 2*y + y = 21. Let o = 242.14 + -240. Let x = 1.14 - o. What is the second biggest value in d, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Let s(c) = 2407*c. Determine z(s(g)).\nAnswer: -17380947*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*6 - (7 - 4). Find the second derivative of -b - 7*n + 51 - 7*n**5 wrt n.\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 90. Let o be s(-29). What is the hundreds digit of (-6214)\/(-12) + (o - 95\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36*((-8)\/3 + 3). Solve -10*c - 22 = 4*s - j*c, -4*s - 4*c = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -35*k**3 - 3*k**2 - 2*k + 1. Let q(d) = -36*d**3 - 3*d**2 - d + 1. Let s(j) = 6*p(j) - 7*q(j). Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqlyl. What is prob of sequence yi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*16.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c + c - 3*c)*(-2 + c**2 + 2) + 3*c**3 - c**3 - c**3 + 2*c**3 - 2*c**3 - 2*c**3)*(24*c + 3*c + 2*c).\nAnswer: -87*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/40 + b**3\/6 + 6*b**2. Let m(z) be the first derivative of f(z). Let r(q) = -4*q**2. Calculate m(r(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + c + c)*(-18 + 18 + 6*c)*(-16*c + 3*c - 2*c) as z*c + n + p*c**2 + l*c**3 and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 441088 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -30161660?\nAnswer: 30161656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.9 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 7)*42\/12. Is 18 a factor of s + 4 + 286 + 5*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 89843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-6))\/(161*(-14)\/(-25116))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/102490 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, 0.3, -2\/13, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3 - 2*b**2 + 3*b**2 - b + 4*b. Let u be c(-3). Suppose -r + 6*r = -30. Sort u, r, 1 in decreasing order.\nAnswer: 1, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3960 and 176900.\nAnswer: 35026200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 60*v + 175.\nAnswer: 5*(v - 7)*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15*(65\/15)\/13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9849 and 1206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:16 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -55164.2?\nAnswer: -11584.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103288017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1047, -1042, -1039, -1038?\n\"Answer: -z**2 + 8*z - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1030 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let s(g) = -1. Let b(a) = 15*a - 4. Let n(f) = b(f) - 4*s(f). Determine t(n(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 21. Suppose 0 = 5*x + 2*x - 42. Let w be t(x). Suppose -2*l + 590 = -b, -415 = -w*l - 4*b + 448. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.927, -3, -5 in decreasing order.\nAnswer: 0.927, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -411 - -452.1. Let r = -39.41 + k. Let g = -1.39 + r. What is the biggest value in -20\/9, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 6*b**2 - 3. Determine k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*f**5\/2 - 2765*f**4\/2 - 2725*f**3 - 2250*f**2 - 740*f - 80 = 0 for f.\nAnswer: -2, -1, -4\/11, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/11616 and -53\/17952?\nAnswer: 197472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-1 - sqrt(832)) + -5 + sqrt(832))**2.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 6*y**3 - 7*y**3 + 13*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 9*j + 5. Let s be z(-7). Suppose s + 6 = -5*x. What is the second smallest value in 2\/3, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002602521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53610 and 43252548.\nAnswer: 216262740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 105359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 8*y + 29*y = -5*s - 10, 8 = -4*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-3)*-4*77\/176?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 6*d. Suppose 5*c = -m + 27, d*m + c - 6 - 3 = 0. Sort m, 0.2, 1 in ascending order.\nAnswer: 0.2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4481928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - a - a + 3 + 5. Let l be q(12). Let u be (l\/(-4))\/((-1)\/(-16)). What is the highest common divisor of 112 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1221, -283, 655, 1593, 2531, 3469?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9623 is divided by 48?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.2308439407 + 0.118.\nAnswer: 13.3488439407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28652 and 0.1.\nAnswer: -28651.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/5 - 762*l\/5 - 763\/5 = 0.\nAnswer: -1, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 6*k + 1. Let s be f(5). Let w = s + 6. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14066760 and 5?\nAnswer: 70333800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 greater than or equal to -113077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by 25\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*a = 8, -2*t - 6 = t - 3*a. Let c be t*4\/16 + 88. Let k = c - 70. Calculate the smallest common multiple of k and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/477766096 and 115\/9044.\nAnswer: 3344362672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose -b**2 - 6*b**2 - 2*b + z*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-24))\/(4\/18). Find the common denominator of 35\/6 and 3388\/3136 - (-4)\/i.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 13*o**2 - 3\/8*o**4 + 0 + 0*o**5 + 0*o**6 - 1\/35*o**7 + 0*o + 0*o**3. Find the second derivative of u(s) wrt s.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/((1309\/44)\/17).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134311*x**3 - 6931981*x wrt x.\nAnswer: -805866*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2209, 14934, -0.3, -2 in descending order.\nAnswer: 14934, -2\/2209, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 15.4. Let n = 1.4 - i. Which is the third smallest value? (a) -0.4 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11909, -47601, -107089, -190385, -297501, -428449, -583241?\nAnswer: -761889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -23, -2, 27, 64, 109?\n\"Answer: 4*w**2 + w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from wdwwddwwwwwwywdy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (54\/6 - (8 - 2))*2. Let w(c) be the second derivative of -5\/4*c**4 + a*c**3 + 0 + 0*c**2 + 2*c + 4\/5*c**5. Find the third derivative of w(y) wrt y.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 10}. What is prob of picking 2 z and 1 n?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 126. Let p be (-2 + 2)\/(-20 + m). Solve 2*r + r + 3 = p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132182 divided by 1.\nAnswer: -132182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 9\/37591 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31430 rounded to the nearest one hundred?\nAnswer: 31400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, o: 1}. Give prob of sequence oa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 + 19. Let h be k(0). Suppose -214*t + 864 + 1062 = 0. Solve 3*v - h = -5*l, -l + 2 = 3*v - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 1\/6, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.635 millennia to years.\nAnswer: 42635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171912 or -171909?\nAnswer: -171909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 390007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66675997.\nAnswer: 19, 3509263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -325190 and -0.4.\nAnswer: 130076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25851 is divided by 551.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102.664 and -0.4?\nAnswer: -41.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 133 = j, -5*w + 215 = -0*w - 5*j. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2 + 15022*g + 617583 = 0.\nAnswer: -41, 15063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 2 - 6)*(2*c + 0*c - c) + 2*c - 5*c + 2*c)*(0*c**2 + c + 7*c**2 + 0*c**2).\nAnswer: -14*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 + 8*k**2 + 11*k + 2. Let l be m(-1). Let y(c) = c + 22. Determine y(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w + 152. Suppose q = -4*n + 106, -3*n - 6*q + 68 = -11*q. What is the remainder when w is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 3, -15, 0.064, -1\/5, 5\/26 in increasing order.\nAnswer: -15, -1\/5, 0.064, 1\/7, 5\/26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * -7.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011617 is divided by 33700?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-600)\/(-2125) - ((-6)\/51 + 0) - 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2230340 (base 5) to base 15\nAnswer: ba65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Suppose y*l = 2*c + 484, -l + 4*l - 725 = 4*c. Suppose -5*g = -l + 33. What is the highest common divisor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/6255 and -13\/22935?\nAnswer: 68805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -9) + (74 - 111)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206660*o**6 - 198*o**2 - 22*o.\nAnswer: -24799200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22484 and -0.6?\nAnswer: -13490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11428493.97 and 0.4.\nAnswer: -11428493.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 divided by 276392?\nAnswer: -57\/34549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 49*n - 2. Determine p(7).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276 a factor of 33803152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose c*i - 130 = 32. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 + 5*v + 22. Let n(o) = -56*o**2. Determine i(n(s)).\nAnswer: -3136*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2588 and 87.\nAnswer: -225156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8475 and 40?\nAnswer: 339000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121.32 + 86.6. Let f = 5.02 + y. Let p = -30 - f. Which is smaller: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**2 + 1672*b - 164440.\nAnswer: 14*b + 1672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2))\/sqrt(5) - (-2 + sqrt(7) + sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 44. Suppose q = 3*p - a*p + 238, 4*p - 194 = q. Let n = p + 34. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 117.07. Let m = -4.23 + w. Let c = 5.8 + m. Sort 2\/11, c, 41 in ascending order.\nAnswer: 2\/11, c, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.1 + 12. Let s = 50.6 - w. Which is the second biggest value? (a) 5 (b) 1\/3 (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -13. Let t(l) = -5 - 2*l + 3 + 4. Let v(d) = -d**2 + 2. Let p be v(-2). Let r(i) = -i**2 + 5*i - 5. Give c*t(j) + p*r(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a5 - -7a0c?\nAnswer: 86b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1\/2*s**4 + 0*s**3 + 0*s**5 + 1\/12*s**6 + 0 + 11*s**2 + 0*s. Find the second derivative of p(a) wrt a.\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7767 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 0. Let n = r - -10. Calculate the least common multiple of 18 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 46845.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123583 = -51*r + 1121237 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11876429.\nAnswer: 41, 289669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81286696599.649956 - -81286515235. Let h = w - -181365. Let y = h - 0.35. Round y to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6528329 divided by -76?\nAnswer: -6528329\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-2))\/((-9)\/6). Let b = z - -6. Let m(c) = c + 5. Let a be m(5). What is the highest common divisor of b and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345049 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - (-1 - -7)) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41162\/(-198) - 2\/18. Let s = -140 - d. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1315*u - 51. Calculate q(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 - (-3 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 3*f - 2*f + 1 + 6*f. Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose 0 = -4*d - l*f - 3, d + 0 = 4*f + 15. Suppose 4*g = 3*a + 44, -2*a + 32 = d*g - 4*a. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.2, 103\/659, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*(1148\/238)\/41?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122102222 + 21?\nAnswer: 10122110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/(-8))*84\/(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -16*r**4 + 20*r**2 - 3*r + 3. Let k(h) = 31*h**4 - 40*h**2 + 7*h - 7. Let x(d) = 7*j(d) + 3*k(d). What is the third derivative of x(g) wrt g?\nAnswer: -456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:04 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, s: 4, d: 3}. Give prob of picking 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - -7. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26571533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -36*b**2. Let z(h) = -2*h + h + 7*h + 11*h. Give u(z(a)).\nAnswer: -10404*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218.8 - 219. What is the nearest to 1.94 in z, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/19452 and 7\/3423552?\nAnswer: 3423552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 + 102\/(-5). Let w = 28 + h. Suppose 2*v = -3*v - 10, -4*v - 9 = -m. What is the lowest common multiple of m and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22316 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**5 + s**4 - s**3 + s**2 + s + 1. Let z(t) = t**4 - t**3 + t**2 - 3*t + 1. Let h(b) = 4*k(b) - 4*z(b). What is the second derivative of h(i) wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*a - 107*a - 1490 = 5*s, a + 86 - 162 = -4*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -174, 423, -40 in ascending order.\nAnswer: -174, -40, 6, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3690*i - 121751. Determine c(33).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-1)\/(-52)*20))\/(18\/(-45))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((71 - (-4 - 1)) + 2) - (124 + -121).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969 divided by -3?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74592101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(4 + (3 + sqrt(3328) - sqrt(3328))))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-1))\/((-1)\/2). Put -2, 3, q in descending order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.48 - -0.08. Let o = -0.03 - -0.33. Let l = 0.7 + o. What is the third biggest value in l, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32*o**3 - 7*o**2 - 42*o + 3391. Let g(i) = 16*i**3 - 4*i**2 - 21*i + 1692. Let r(s) = 7*g(s) - 4*z(s). What is the first derivative of r(m) wrt m?\nAnswer: -48*m**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**3 + 34*f - 54 + 4*f**3 + 10*f + 15*f**3 to w*f**3 + n + x*f + h*f**2 and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t*t*t**(-1)*t)**(12\/13)\/((t\/((t**0*t*t)\/t))**(-27\/2)*t**(-4)*t\/t**4) assuming t is positive.\nAnswer: t**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + j**3\/6 - 7*j**2\/2 - 4*j. Let v be a(5). Let g be 8 - (v + -1 - -5). Solve -5 = g*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {a: 1, p: 2, o: 3, d: 3, u: 1, c: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(-24)\/(k**(1\/4)*(k*k\/(k**(-5)*k))\/k) assuming k is positive.\nAnswer: k**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 - 1549\nAnswer: -1543.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 26858?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -2c?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c99 (base 13) to base 16.\nAnswer: -bca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -1\/12*h**4 + 0 + 0*h**3 - h + 0*h**6 + 0*h**2 + 0*h**5 + 1\/21*h**7. Find the third derivative of b(w) wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55801\/918 - 1062\/17. What is the common denominator of -187\/30 and m?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8729.657 litres to millilitres.\nAnswer: 8729657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 13*y - 9. Let f be w(-3). Let m = -28 - -37. Calculate the greatest common divisor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22540319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49329.8 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 1, -7, -4, -12829 in descending order.\nAnswer: 32, 1, -4, -7, -12829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144309 greater than 144400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179154, -179163, -179172, -179181, -179190, -179199?\nAnswer: -179208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 174811.1.\nAnswer: 34962.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.992 minus 0.72629?\nAnswer: -2.71829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 29*b**3 - b**2 + 2*b - 1. Let p be l(1). Suppose 0 = -3*o + 22 + p. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/20 - h**4\/4 - 10*h**3\/3 + 7*h**2 + 41*h + 2. Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 29. Let q be z(9). Solve 0 = -5*u - 5*m - q, m - 5*m = u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112110211 - -1212020001?\nAnswer: 1022202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i - 21. Let b(n) = -n - 2. What is b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -356*u**6*v - 2*u**5*v**2 - u**2*v - 115443*u*v**2 wrt u.\nAnswer: -42720*u**3*v - 120*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-6*a + 2*a + 2*a) + (-1 + 2 + 2)*(-2 + 2 + a) + 4*a - 4*a - 2*a)*(4 - 3 - 3).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*16\/24*-19. Does 8 divide -16*k\/(76\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.3401 years in decades?\nAnswer: 7.73401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Suppose -4*l + l + 5 = -d, -4*l - 4*d + 28 = w. Let t be (-15)\/(l\/(-2 + -1)). Solve t = -2*n - n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -4930, -11036, -19594, -30610, -44090?\nAnswer: -60040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 979 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*u = 7*y - 10, 4*y = -5*u + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -5*b**4\/24 + 7*b**3 + 1459*b**2. Give h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/840 + q**6\/72 + q**5\/24 + q**4\/12 - 5*q**3 + 15*q**2 - 2*q. Let z(c) be the first derivative of m(c). Give z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 31 (c) -12 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -135, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 1437975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 114 = 3*x - 17*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -197 + 397 - 2*l**2 - 207. Suppose 0*w = -4*w - 56. Let a(h) = -h**2 - 3. Calculate w*a(t) + 6*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -435, -646, -857?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64*(-3)\/33 - 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*y + 4\/3 + 2\/3*y**3 - 4\/3*y**2.\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**7\/14 + 42*l**6\/5 + 129*l**5\/10 - 21*l**4 - 85*l**3\/2 + 1354*l. Solve o(h) = 0.\nAnswer: -1, 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -35. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 39*c**3 + 3*c**2 - 5*c + 5. Let o(z) = -z**2 - 7*z - 8. Let y be o(-5). Is n(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008769863 to six dps.\nAnswer: 0.000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 12 = 0. Let o(z) = -z**2 - z + 2. Let x(d) = d. Let u(w) = o(w) + 2*x(w). What is u(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-15))\/(160\/(-28)) - (35025\/300 - 117)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = t + 116 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*y**2 + 144*y - 1.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10965.9582 rounded to zero dps?\nAnswer: -10966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103a9 + 2b47?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(114)\/(sqrt(6)*1)).\nAnswer: -4*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**7\/21 - 28*z**5\/5 + 91*z**3\/2 - 953*z. Find the second derivative of b(c) wrt c.\nAnswer: 40*c**3 - 672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2))**(1\/36))**(1\/2))**(3\/13) assuming w is positive.\nAnswer: w**(1\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let t = -0.1 - 0.9. Let g = -0.67 + -4.33. What is the nearest to d in 0, t, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let c(l) = -10*l**2 - 9*l**2 - 8*l**2. Determine c(r(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2965 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by (86 + -1)*20\/50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g + 15. Calculate the remainder when 87 is divided by p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -818.09878715427 + -4.90121122873. Let b = -823 - q. Round b to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 2334\/18. Suppose -3*z + 2*d = z - p, -z - 5*d + 60 = 0. What is the remainder when z is divided by (-2)\/(-7) - 1736\/(-98)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from pppzzppgzgpppzgp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -a72?\nAnswer: -a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 + -1312. Let q = -493 - z. Calculate the remainder when q is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -24*v - 20. Let s(y) = 26*y + 22. Let a(l) = -11*c(l) - 10*s(l). Let i(b) = -3*b - 6. What is a(i(t))?\nAnswer: -12*t - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b. Let o(x) = 0 - 2141*x + 2161*x + 0. Calculate o(d(n)).\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 2 (b) 0.02 (c) 5 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 775\/1040653?\nAnswer: 775\/1040653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 2\/9, -0.3, -99\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 3. Let u(z) be the first derivative of -z**2\/2 - z + 4. Let m = -938 - -940. Calculate m*k(a) + 9*u(a).\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92, -111, -136, -167, -204, -247?\n\"Answer: -3*i**2 - 10*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = -2*h. Solve h*s - s + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, k: 4, r: 3, b: 4, w: 5, t: 1}. What is prob of sequence wg?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x - 51. Let f be 9\/(-21) - 2*404\/(-56). List the prime factors of v(f).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -66*x - 1 + 1 + 0 + 40*x. Let o(j) = -22*j + 1. Give o(c(w)).\nAnswer: 572*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 15*o**2 + 1251*o - 3641. What is r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - t + 0 + (2*t + 1 - 1)*(2 + 2 - 5))*(6053 - 3123 - 3188)*(3 + 3 + 1) to f + w*t and give w.\nAnswer: 5418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 306135*d**2 - 61 + 176 - 55 + 306136*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 166?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**2*z**4 + 107*n**2*z**2 + n**2 + 2*n*z**4 + n*z**2 - 14*z**4 wrt z?\nAnswer: -264*n**2*z + 48*n*z - 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43\/12 + 13\/36. Suppose -3*g + 6*g - 5393 = -z, -z + 5409 = -5*g. Let s = -43293\/8 + z. Find the common denominator of s and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*z - 3*z - 1, 0 = 3*q. Put -3, z, -1 in ascending order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4024910\nAnswer: 4024910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524*m**2*n*w**3 - m**2*n - 6*m*n*w**2 - 12*n*w wrt w?\nAnswer: -3144*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 + 3.17. Let t = -83 + 83.4. Let h = 110 + -110.6. Which is the biggest value? (a) k (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z + 2. Let c be n(-4). Let b = 8 + c. What is the remainder when (-1)\/((b\/(-27))\/2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256784 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -13 - (8 + -10 + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*f**2 + 75*f**2 - 3*f**5)*(-4 + 3 + 3).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2. Let r(m) = 20*m**2. Let y(c) = 5*r(c) + 24*u(c). Let d(k) = -10*k**2. Calculate y(d(h)).\nAnswer: 400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404538 + 404538 - 4*m + 17*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.96*0.4\nAnswer: -2.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -4027, 7\/11?\nAnswer: -4027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1*166 + -2). Suppose 155*v + 2*j - 66 = 151*v, -v + 57 = -4*j. Calculate the highest common factor of v and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x - 36*x + 86*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b + 61*b - 5*f - 34 = -68*b, 370 = 5*b - 60*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -175, -131, 59, 443, 1069, 1985?\nAnswer: 3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -104\/1925745 and 43\/639.\nAnswer: 410183685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44316 and 2?\nAnswer: 44316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11384000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 9343425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 3*i + 5. Let n be y(4). Suppose -5*c - 8 = -2*r + 5, -5*c - r = n. Is (-670)\/(-8)*-4*(-2 - c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n + 288 = 94*n + 42*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/2 (b) -1\/6 (c) -39.4924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(21\/4)\/n)**1 assuming n is positive.\nAnswer: n**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 103*a - 19*a = 24, 5*g + 0*a = -3*a - 57 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*z**6 - 110*z**2?\nAnswer: 54960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320))**2 + sqrt(245)*-5 + (sqrt(320)*4 - -2*sqrt(5)*-2)**2 + -2.\nAnswer: -35*sqrt(5) + 4238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b**2 + b + (-2 - 2 + 6)*(0*b**2 - b**2 + 3*b**2) + b**2 - 2*b**2 + 3*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 16*y = -s + 49, 9*s = -4*y - 87 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -121878812 + 0.9\nAnswer: -121878811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -207494.5 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50332304 (base 6) in base 7?\nAnswer: -15063430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.3 (c) 4 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 39226 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2, 1, 9.1, 161 in descending order.\nAnswer: 161, 9.1, 2, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 199 = 4*x - 9*j, 2*x + 2*j - 122 = 0. Let w = x - 30. Let m be (-1)\/(-7) + w\/14. Solve -n + 2 = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 - -3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, b: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + 23. Let r = 88 - n. What is the derivative of 49*j**2 - 91*j**2 + 58*j**2 + r wrt j?\nAnswer: 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77037 (base 8) to base 16.\nAnswer: -7e1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(133)\/sqrt(7) + 2 - sqrt(19))*2)**2.\nAnswer: 16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5109\/4 - 1278. Which is the fourth biggest value? (a) f (b) 1 (c) -0.05 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y - 3*w + 18, -19 = -y - 5*w. Sort -2, y, 4 in descending order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 + 4a326?\nAnswer: 4a295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 92656442580115 + 0\nAnswer: 92656442580115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 135*h**3 - 2*h**2 + 3 + 3*h + 7 - 134*h**3 - 5. Is f(5) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-5\/7))\/y)\/(y**(4\/3)*y) assuming y is positive.\nAnswer: y**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + 13 + -22)\/(-4). Let p = -116 - -116.1. Which is the third biggest value? (a) -32 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.2? (a) -3\/7 (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*v + 51. Sort v, 5, 3 in increasing order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5138 and 1468?\nAnswer: 10276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. Let r = -65 - -66. Let k = -3.91 - 0.09. Put o, r, k in increasing order.\nAnswer: k, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -31. Let i be 4\/6*(-24)\/n. Let r(w) = w**2 + 2*w + 5. Let p(b) = -b**2 - 2*b - 4. Calculate i*p(u) - 3*r(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2. Let b(o) = 3*o**2 - 16. What is n(b(r))?\nAnswer: -54*r**4 + 576*r**2 - 1536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*h - 5*m + 55, 4*m = -4*h + 28. Let k = h + -27. What is the units digit of -2*k\/(-6)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 58*m**5 - 178*m**4 + 70*m**3 + 170*m**2 - 128*m + 8 = 0?\nAnswer: -1, 2\/29, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -1068.\nAnswer: -43788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111010101000011 (base 2) to base 13\nAnswer: -10882","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-4)\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50205*m**4 + 2544*m**2 - 24*m wrt m?\nAnswer: -1204920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21111 (base 4) to base 3\nAnswer: 211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 x when three letters picked without replacement from kaxkuvkaujauaav?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 4 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10857 by 33.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642.643 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 223, 412, 609, 814, 1027, 1248?\n\"Answer: 4*v**2 + 169*v - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + r - 1 = 0, -141*r + 136*r = -20. Solve 0 = h*g - 4 - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 3, a: 1, j: 3, m: 6, n: 3}. What is prob of picking 1 a and 2 n?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3400 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18634 is divided by 1863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**4 - 2*q**3 + 3*q**2\/2 - 6*q + 3551. Let a(s) = 13*s**3 + 7*s**2 - 3*s + 7. What is -6*a(d) - 7*g(d)?\nAnswer: 6*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 10 = 0, -i + 4*t + 12 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose a = v + 2 - 4. Suppose -v - 2 = -2*u. Solve -2*g + u*t - 16 = 0, -3*g + g + t - 13 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/8)\/((-189)\/(-144)). Let h(b) be the second derivative of 1\/7*b**4 + 0 + 8\/7*b**2 - 3*b + c*b**3 + 1\/70*b**5. Let h(m) = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366929479 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61767?\nAnswer: 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -29*l**6\/360 + l**4 + 7*l**3\/3 - 23. Let q(a) be the third derivative of m(a). Differentiate q(y) with respect to y.\nAnswer: -58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*x = -259 - 112 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -54. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 606b17 (base 15) to base 7\nAnswer: 53630563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*h + 53250 = 0, c - 23*h - 17743 = -20*h. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -224, -1071, -2484, -4463, -7008, -10119, -13796?\n\"Answer: -283*j**2 + 2*j + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmcfcmmmdmm. What is prob of sequence mcf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeectaetzzzeeeccbta. What is prob of picking 1 a and 1 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -5*c - 16. Let j = -2 - c. Is (-2)\/j - 736\/(-20) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 3505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10426*n**2 - 4 + 1903*n**2.\nAnswer: -8523*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -1\/2 (c) -0.02085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20 - -10)*(-2)\/4. Let b be 8*(-2)\/(-20)*25. What is the tens digit of (u + 258\/30)\/(2\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0 - -3)*5. Let o = -15 + k. Factor 0 - 4\/3*t**4 + 2*t**3 + o*t - 2\/3*t**2.\nAnswer: -2*t**2*(t - 1)*(2*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676039436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 5, 3, 3, 5?\n\"Answer: p**2 - 7*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4325\/9 + 481. Let m = -423 + 4635\/11. Let d = m + 115\/77. Sort -1\/3, d, u in decreasing order.\nAnswer: u, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {u: 1, j: 5, y: 1, h: 12}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 849 + -484. Let w be (8\/(-28))\/(-5*(-2)\/(-2555)). What is the greatest common factor of w and l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000175528144 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 53924770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8274515 divided by -6\nAnswer: -8274515\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82013 + -28?\nAnswer: 81985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 780364 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -78 - (-1 - (-2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -831*j**2 + 33*j**2 - 359*j**2 + (j + 3*j - 5*j)*(-5*j + 4*j + 3*j) + 3*j**2 - 2 + 2.\nAnswer: -1156*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265.1514 seconds in hours?\nAnswer: 0.9069865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -149 and -3408 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154724 - -189376. Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/13179924 and 80\/33?\nAnswer: 144979164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3) - -3 - (-52 + 49)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 - -2048. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let c(p) = -11292*p**2 + 5795*p**2 + 5878*p**2. Determine c(j(m)).\nAnswer: 3429*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -23*k**2 - k - 88. Let c be g(-5). Which is greater: -3291\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5731, 5606, 5471, 5320, 5147?\n\"Answer: -k**3 + k**2 - 121*k + 5852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, i: 1, f: 2, t: 4, h: 1}. What is prob of picking 1 q and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110734579099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-220)\/(-495))\/((-70)\/(-165))\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a0 + -20?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -1 (c) -1\/4 (d) -3\/5 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73271 (base 10) to base 14.\nAnswer: -1c9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22434 - 5455 = 5*w, -w + 3409 = -4*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35201 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.6, 1\/2, -2, 22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -527417, -1054843, -1582269, -2109695, -2637121, -3164547?\n\"Answer: -527426*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -5*a + 386. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11566*b**2 + 34328*b**2 - 11410*b**2 - 11354*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40089697*s**2 + 2*s + 339111 wrt s?\nAnswer: -80179394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 660 = 10*x. Factor 0*d**3 + 321*d**3 + 16*d**5 + 16*d + 29*d**2 - x*d**2 - 136*d**4.\nAnswer: d*(d - 4)**2*(4*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2 - -4)*1. Suppose -3*d = -4*m - 7, 27 = 5*d + 4*m - w*m. Suppose -i = d*q + 2, 5*i - 5 = -5*q + 5. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 1. Let z(r) be the first derivative of 3*r**4\/2 + 5*r**3\/3 + 2*r**2 - r + 3820. Calculate -4*m(p) + z(p).\nAnswer: 6*p**3 + p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*l - 6*d, -13*l = -8*l - d - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 smaller than 46062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:27 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, j: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8788863 + -1.8784. Round p to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*d + 1 = 0, -3*i + 3 = -2*i - 4*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*a - 0 + 6, 3*r = 4*a + 30. What are the prime factors of (-1*11)\/(r\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*17\/(-153)*(-3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0302 - 0.0302. Sort q, 4, 7 in decreasing order.\nAnswer: 7, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 times -3?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 558 + 894 = 0. Calculate the common denominator of -47\/16 and (-34)\/4*(-11)\/(s\/36).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 2 - 5*k + 143*k.\nAnswer: 138*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*3\/(((-5)\/8)\/((-19)\/(-152)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = h - 16, -3*h - d = -5*h + 54. Let g = h + -15. Let r = 47 - g. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 6 = 2*r, r + 0 - 33 = -4*t for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469 divided by -666.\nAnswer: 469\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -8, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 13*t**2 - 20*t - 14. Let l be b(11). Suppose -2*m + l*m = 180. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*y + 3*y + 4*y)*(3*y**2 - 4*y**2 + 3*y**2) + y**3 - 5 + 5 + 2*y**3 - 4*y**3 + 4*y**3)*(49*y - 704*y - 41*y) + (-y**4 + 0*y**3 + 0*y**3)*(0 - 4 + 5).\nAnswer: -4873*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let j(u) = -2366199*u**2. Give j(z(t)).\nAnswer: -21295791*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4 + 17413060*r**3 + 17413056*r**2 = 0.\nAnswer: -4353264, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 892596322 and 2924?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -781778166*g**2 - 633650904*g.\nAnswer: -1563556332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20262487 and 29274?\nAnswer: 4879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 + (-4 - 0) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 9*j - 7. Let k be w(10). Suppose -30 = -k*m + 30. Let i = -17 - -33. Calculate the lowest common multiple of i and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 + 24*a**2 + 207*a - 756 = 0.\nAnswer: -7, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017991 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 14. Let s be g(7). Solve -3*q - s = 2*n, -5*n + 0 = -2*q - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/4 (b) 0 (c) 0.013 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383 < 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 60 + 58)*(3*d - 2*d - 3*d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2499434541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -451 + 216. What is the units digit of u\/(-35) - (-2)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.25 (b) 9 (c) 32 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 109796827 to the power of 1\/2, to the nearest integer?\nAnswer: 10478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*y + 1532, -17*y + 15*y = -5*i - 1036. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 14\/5, 14, -2\/19, 4\/19?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19543\/4 at most as big as 4886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**3 - 8*u**2 - 6*u. Let f(k) = -8*k**3 + 9*k**2 + 7*k. Determine 6*f(i) + 7*t(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100034363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 4*d + 2. Let b(w) = w - 1. Suppose 3*y - 15 = -2*y, 0 = 5*z + y + 27. Determine z*b(j) - 2*q(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 3. Suppose -1 = -a + q. Factor -s**5 + 0*s**4 - 3*s**4 + 2*s**a.\nAnswer: -s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(2 - m - 2) + (-1 + 2 + 0)*(m + 2*m - 4*m) - 2 + 11*m + 2.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -168, -330, -484, -630, -768?\n\"Answer: 4*z**2 - 174*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 + 13.7. Let x = p - 11.000052. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wyazkxz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.9 + 24.3. Let i = -20.8 - -17. Let a = o + i. Round a to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*g - 382, 5*b - 5*g + 383 = 6*b. What are the prime factors of b?\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 {p: 2, g: 5, d: 2, h: 8, e: 1}. Give prob of sequence phhd.\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15 and -12490.\nAnswer: -12475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/2))\/((-11)\/55).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5082)\/572)\/(-77))\/((-6)\/2).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 - 2 + 22 = 0. Put 1, n, -520, 3, -1 in decreasing order.\nAnswer: 3, 1, -1, n, -520","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171\/339290 or 1?\nAnswer: 171\/339290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvwpwwv. Give prob of picking 3 v and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, -2, 19, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 2622 - 3468 = 0. Round f to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89040039 is divided by 3458?\nAnswer: 3455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m - 1. Let o(v) = -v + 1. Let j(d) = -b(d) - o(d). Let c(w) = w**2. Calculate c(j(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 39 = 259 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89628 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3622667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44774, 89516, 134258, 179000?\nAnswer: 223742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165096 < 330189\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*(u*u**(-6\/13))\/u*u*u**(1\/11)*u*u*u**(-12)*u)**(-24) assuming u is positive.\nAnswer: u**(147072\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 42, 71, 108?\n\"Answer: 4*q**2 + 9*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3273, 13116, 29515, 52464, 81957, 117988, 160551, 209640?\n\"Answer: -k**3 + 3284*k**2 - 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/16 + -1)\/((-3)\/(-12)). Let w(b) = -b**2 + 4*b + 9. Let o be w(c). Let a be 2\/(-4) + 22\/o. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 11)*(-10)\/5. Let i = 20 + t. Let b = -4.4 - -4. What is the second smallest value in i, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.7 and -1.9.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -57 - 0 - (-13 + (1 - 3) + (-8 - -25))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let n(c) be the third derivative of 17*c**5\/30 - 8*c**2. Calculate h(n(r)).\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74368761?\nAnswer: 3, 17, 829, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, h: 3, b: 2, c: 3, r: 2, l: 1}. What is prob of picking 1 r, 1 l, and 2 e?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13759*z + 8. Let l be b(-4). Is 2\/13 - l\/(-156) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 976545\/14 or 69754?\nAnswer: 976545\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44357 + -309965\/7. Let c = j + -76. Suppose c + 4\/7*i**3 - 2\/7*i**5 - 2\/7*i - 4\/7*i**2 + 2\/7*i**4 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7271 - 4568. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 14*g + 290. Let a = 91 + g. Which is smaller: 34 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3528 less than -805132232?\nAnswer: -805128704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -9, 3 in ascending order.\nAnswer: -9, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 2 = -6*t. Let m = 32 + t. Calculate the smallest common multiple of m and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 4*i + 24. Let x be p(-3). Suppose -x*r + 511 = -4*t, 7*t - 5*r = 4*t - 375. Sort 2\/5, t, -4, -4\/7 in descending order.\nAnswer: 2\/5, -4\/7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183106*i**2 + 71858*i**2 - 2 - 377012*i**2.\nAnswer: -488260*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 6*c**2 - c + 5. Let m be (-384)\/(-21) - (-2)\/(-7). Let r be (-10)\/(-3)*m\/10. Calculate p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -176, -187, -206, -221, -220, -191, -122?\n\"Answer: 2*j**3 - 16*j**2 + 23*j - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1847\/5 + 369. Which is the nearest to v? (a) -0.8 (b) -1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/7*a**3 + 0 - 10\/7*a**2 + 1\/7*a = 0. What is a?\nAnswer: 0, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 2*o - 2*b - 1493, -o + 625 = 4*b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 2*v**4\/3 - 5*v**3\/6 + 4*v**2 + 7*v - 6. Let g(r) = 17*r - 4. Calculate 3*g(s) - 2*q(s).\nAnswer: 19*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10046847 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 2}. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 19. Let f = o + -7. Suppose -f*r + 2259 = -195. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjjjj. What is prob of sequence jg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/432 and 23\/45.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 + -200. Let a be (-5269)\/(-132) + 1\/12. What is the highest common factor of a and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 8 = 3*r. Let o be 0*(-3)\/(-18)*r. Determine k so that o + k**2 - 1\/4*k = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497 or -0.38?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -190916 and 70.89.\nAnswer: -190845.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696602489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 7396*q + 418032 - 418032 as v*q**2 + c + p*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-1)))**(-1\/16)*j**(-3\/7)*(j**(-1\/2)\/j)\/j)**24 assuming j is positive.\nAnswer: j**(-513\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 58. Suppose -12*i + s = -5*i. Is 10 a factor of ((-87)\/(-12) - 1\/4) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 3}. Give prob of picking 3 s.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) + (-885060)\/(-264) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13193?\nAnswer: 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/109)*h\/h**(8\/9)*h**(-2\/35)*h*h**(-1\/2) assuming h is positive.\nAnswer: h**(39301\/68670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-11))**1*j\/j**(4\/11)*(j\/(j*j*j**(-13)))\/j)**(-14) assuming j is positive.\nAnswer: j**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 2*a**2 + 2*a**2)*(2 + 1 - 2)*(a + 6*a - 2*a)*(141*a - 336*a - 11*a).\nAnswer: 3090*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 20 = y, 2336*u - 2334*u = 5*y - 100 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2551 is divided by 1275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 31*i - 36*i. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1773.8 - 1774. Which is the fourth biggest value? (a) v (b) -1\/8 (c) 1\/2 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -3635.\nAnswer: -3637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + -70. Let m = 140 + h. Let u = m - 21. Solve 5*s = u - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 34. Suppose -g*j - 35 = -31. Which is smaller: j or -0.49?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, -25, -2 in descending order.\nAnswer: 5, 2, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 3*q - 10. Let c be i(5). Let k be 4*(c - 2)\/(-2). Suppose -5*m - 12 = k*p + 81, -3*p = 3*m + 57. Which is greater: -16 or m?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 3*g**5 + g**5 + (-3*g**4 + 5*g**4 + 0*g**4)*(2*g + 1 - 1) + (2*g - 3*g + 0*g)*(-4*g**4 - 2*g**4 + 4*g**4) + 6*g**5 + 14*g**5 - 5*g**5.\nAnswer: 24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 - -446?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - (-1 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 109204608.\nAnswer: 327613824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1285*a - 621. Is w(-88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*n - 9, -31*n = -3*u - 30*n + 19. Let g be (-3)\/(((-1)\/(-12)*u)\/(-238)). What is g rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -216*q - 360. Let f(r) = r + 3. Determine -720*f(d) - 6*o(d).\nAnswer: 576*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -2) + 3 + 15 + 1 + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.280315 + -1.28. Round o to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i. Which is smaller: i or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 14. Let w = -11 + b. Let d(k) = w*k**2 + 8 - 6*k - 1 - 3*k**2. Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58207 + -58206. Let i = 0.1 - -0.1. What is the nearest to i in 0, -8, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l**3 - 11*l**2 + 11*l + 11. Let y be -1*2\/4*-10. Let f = 16 - y. Let k(d) = -6*d**3 - 4*d**2 + 4*d + 4. What is f*k(w) - 4*v(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 - a**2 - 3*a**3 - 5*a**2 + 4*a**2 - 5*a**4 in the form g*a**2 + c*a + o + m*a**4 + f*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44a5 (base 14) to base 2\nAnswer: 10111010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8522 - -8521.9249. Which is greater: s or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Let y be s\/((-20)\/(-84)) + -1. Suppose 0 = 6*n - 11*n + y. Solve 0*a - 8 = n*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.2. Let m(z) = 2*z + 25. Let v be m(-11). What is the nearest to -1 in i, v, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173191.6 rounded to the nearest ten thousand?\nAnswer: 4170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 104*z**3 + 5*z + 483. Let w(o) = 52*o**3 + 3*o + 241. Let y be (11 - 20)*(12\/9)\/4. Let n(j) = y*i(j) + 5*w(j). Differentiate n(h) wrt h.\nAnswer: -156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 15*t**2 - 135445*t - 1401200 = 0.\nAnswer: -31\/3, 9040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4355718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**7\/280 - h**6\/180 - h**3\/3 - h**2. Let f(a) be the first derivative of n(a). What is the third derivative of f(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/151650 and 143\/1697400.\nAnswer: 572023800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 78?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**4 + 7*d**4 + 5*d**4 + (0*d + 3*d - 4*d)*(-4*d**3 + 4*d**3 - 2*d**3) + 47 - 67*d**4 - 47.\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) - (2 + sqrt(700)*-2)**2.\nAnswer: -2804 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491 (base 11) to base 5.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1279, 6911, 19613, 42097, 77075, 127259?\n\"Answer: 452*a**3 + 823*a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {m: 1, j: 4, l: 1, o: 1, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168*p**2 - 2808*p - 8955469?\nAnswer: -336*p - 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 19 + 62 = 4*c + 3*x, -20*c = 72*x - 70*x + 46 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121582?\nAnswer: 2, 31, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/7)\/m**(1\/47))**(-2\/9))**49)**6 assuming m is positive.\nAnswer: m**(2828\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -89*k**2 - 977*k + 4748. Let u(i) = -1560*i**2 - 16610*i + 80715. Let x(v) = 35*o(v) - 2*u(v). Factor x(q).\nAnswer: 5*(q - 190)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25217?\nAnswer: 151, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 4. Let f = -17 - w. Let i(q) = -q**3 - 8*q**2 - 8*q - 1. Let b be i(-7). Solve f*d = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/557943 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480 + 0*q**3 - 580 + 321 - q**3 + 7*q**2.\nAnswer: -q**3 + 7*q**2 - 739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0 + 0)*(-55686*q**2 + 55682*q**2 + 8*q + 31*q) as w*q + p*q**3 + a*q**2 + h and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 less than -4?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-768)\/(-18))\/((7\/6)\/7). Let r be (-10)\/k*(-2)\/10. Let n = r + 377\/896. What is the second biggest value in 5, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*q = -0*w - 40, 0 = -3*w - 2*q + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 - 2*x**3 + 0*x**3 + 4*x**3 in the form o*x**3 + a*x + z*x**2 + i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*k - 5*k + 18, -5*o = 4*k - 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 3) to base 12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35925.507 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.12 - -0.12. Let d = c - -11.76. Let h = -0.2 - d. What is h rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 12*z + 59 - 129)*(3 + z + 0 - 4) as o + k*z + d*z**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujci when four letters picked without replacement from {j: 1, h: 2, y: 1, i: 8, c: 1, u: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 333 = -5*j + 3767, -5*j - 40 = 0. What is the highest common divisor of l and 4876?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ana when three letters picked without replacement from {t: 7, a: 5, r: 1, n: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 7*w - 4. Let h be i(-6). Let o = -3 + h. Let n be (-14)\/21 - 4\/(-6). Put 5, o, n in descending order.\nAnswer: 5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -96 = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let d(o) = 12*o. Let t(s) = d(s) + 9*k(s). Let a(n) = n**2 - 7*n + 2. Let f be a(7). Let g(h) = -5*h**2 + 5*h**2 + h**f. Give g(t(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.12, 12, 19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 9*b + 6. Let s be t(8). Is 141\/21 - (-4)\/s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:08 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q - 10 = 0. Let t be 3 - ((-2)\/q + 1). Solve t = 4*n - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3 + 61*b**6 - 32*b**2 + 226*b**6 + 190*b**2 + 732*b**2 + 90*b**2 wrt b.\nAnswer: 34440*b**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 3:36 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22549402 or 22549394?\nAnswer: 22549394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*t - 4*t + 0*t)*(-1 - 1 + 5) - 934*t + 796 - 1593 + 797.\nAnswer: -892*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 32*z - 166. Let t be r(38). Find the third derivative of 24*m**2 + 171*m**3 - 63*m**2 + 0*m**2 - t*m**2 wrt m.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 11*v + 35*v)*(30*v - 52*v + 59*v).\nAnswer: 1036*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:11 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*o + 1492 = 0, 2*d - 3*o - 2071 = -576. Calculate the remainder when d is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**2\/2 - 141*d - 96.\nAnswer: 3*(d - 32)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*g + g - 278 = 0, -4*g - 8 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-756)\/(-36))\/63)\/(3*5\/(-405))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1228298889 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 1797*t + 254190.\nAnswer: 3*(t + 229)*(t + 370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -481571 + -1068429. Round b to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 451519794\/24 - 15\/(-12). Let c = -7556674 - m. What is c rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*w + 2*a, 9 = -0*a - 3*a. Suppose 11*b + w = 16*b, -2*j - 1 = -3*b. Solve -m - 2*u = 4, 4*m + m - j*u = 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633462327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 32, 34, 40, 50, 64, 82?\n\"Answer: 2*s**2 - 8*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -815\/6. What is the biggest value in 1, 2\/7, 2, z, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + 19. Suppose 3*u - j = -5*g, 0 = -4*u + 3*g + 159 - 35. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223300 (base 11) to base 9.\nAnswer: 601876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3609437 * 28.\nAnswer: -101064236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 + 4570. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v - 1\/10*v**2 - 1\/6*v**3 + 12. Let l(p) = 0. Calculate p.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1721874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -29. Suppose 0 = -8*s + y*s + 50. Solve -2*g + s = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) + 57\/12. Let q(u) = u**3 - 4*u**2 - 4*u + 2. Let v be q(a). Find the second derivative of -5*x + 3*x**3 + x + 2*x - v*x**3 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9c89 (base 13) to base 5\nAnswer: -1200124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 566, 2254, 5060, 8978, 14002, 20126?\n\"Answer: -b**3 + 565*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6957398 is divided by 3557.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6780 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 2*k - 7. Let b be (-39)\/(-15) + 4\/10. Let a be h(b). Let w be (-2 - -7)*-4 + 4 + -2. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - b + 4*b - 9 = 0, 4*r = -2*b - 14. Is 28 a factor of 8\/r*(-483)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 3*n - 6*n + 2*i, 5*n + 5*i + 1030 = 0. Is n greater than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/7)*b*b**(-1\/4)*(b*(b*b\/(b*b**1*b*b))\/b)**(-4\/13) assuming b is positive.\nAnswer: b**(809\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q - 2. Suppose -5*h = 5*u, 0 = -5*h - 3*u - 44 + 34. Calculate g(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -718858*w**4 + w**3 - 9296147*w**2 + 2*w.\nAnswer: -17252592*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/2)\/(14*4\/64))\/(45252\/17598).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 80*b**2 + 19*b**2 + 19*b + 59*b**2.\nAnswer: -b**2 + 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2. Let o(m) = 25*m - 14. Calculate -2*o(q) + 14*u(q).\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**2 - 6*w + 5. Let r be m(1). Solve 0 = x + x + 5*v + 18, -2*v - r = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r + 2. Suppose -2*o + 3*o - 3 = 0. Suppose -2*w - o = -11. What is the tens digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -52. Calculate the greatest common factor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -66, -143, -248, -381, -542?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let a(g) = g**3 + 4*g**2 - 5*g + 1. Let h be a(-2). Suppose 3*c = -d*c + 4*s + 5, -4*s + h = 5*c. Solve -13 - c = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 312, 354, 406, 462, 516?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*k - 208*k - 236 = 36 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxqdxqhdqxdxsx. Give prob of sequence sx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*m - 10 = -3*d, 4*d + 4 = -2*m. Let q(v) = 156*v**2 - 7*v - 5. What is the units digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:23 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6080 divided by 304.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, m: 3}. What is prob of picking 1 m and 2 o?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435157.\nAnswer: 19, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.2 - -35.3. Let k = c + -0.1. Let y = k - -15. Are y and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:42 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15277300000 to the nearest one million.\nAnswer: -15277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -40 - 492. What is the biggest value in a, 0, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Calculate the common denominator of -1*(c\/24)\/((-2)\/171) and 89\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/10*2*3. Suppose 0 = y - 1, -5*m + 14 = -2*m - y. Suppose h - k = 5*h + 12, -3*k = m*h + 22. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (3 + -7 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 73, 217, 485, 919, 1561, 2453, 3637?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2244408, -2244418, -2244430, -2244444, -2244460, -2244478, -2244498?\n\"Answer: -t**2 - 7*t - 2244400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3, 32\/3, -0.046?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8609 > -9053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.17662 + 0.27662. Which is the nearest to -0.1? (a) z (b) 0.2 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 16*i**2 + 27*i + 21. What is the remainder when t(-14) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 38 + -28 - 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49436*t**2 - t**3 + 377*t**5 - t**3 - 177*t + 49437*t**2 wrt t.\nAnswer: 22620*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063402 is divided by 336.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11520)\/(4 - -2)*(2 + (-34)\/8). What is the highest common factor of g and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(424\/(-428) + 1). Let l = 105 + u. Does 2 divide l - 1 - 208\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 + 7*v**2 - v**2)*(-6*v + 4*v - v)*(2*v + 4*v - 4*v).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + 2. Suppose 3*k - 2*k = -f, -3*p + k = -1771. Suppose -40*a + p = -38*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12914319 is divided by 11624?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3 + 3*k**2 - 15*k - 10*k**2 + 21*k**2 + k**3 + 4. Give v(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 9:08 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*k - 253, -70 + 5 = k + 3*q. Find the common denominator of k\/(-7)*(-2)\/4 and -34\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7 (base 14) in base 2?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133122112 + -3?\nAnswer: 1133122103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 4885?\nAnswer: 4880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76 (b) 0.52 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 2 = 3*l, h + 5*l - 9 = 0. Suppose 0 = 3*r + h*y - 1240, -r + 4*y = 2*y - 400. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m)\/m*m**(1\/6)\/m*(m*m**(-1\/8))\/m**(7\/4)*(m**(3\/2)\/(m**(-2)*m))\/(m\/(m**(-4)*m*m)*m**(-1)) assuming m is positive.\nAnswer: m**(-197\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 - 94*c + 297. Calculate f(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -584*q**2 + 3652*q - 1680.\nAnswer: -4*(2*q - 1)*(73*q - 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4 + (13 - 15). Let n = d - -10. Solve n + 8 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 - 6. Let c be v(6). Let f be (c + 3)*(-1)\/(-1). Suppose -10*z + 13*z = 0. Is z > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/83 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - -68. What is the greatest common factor of 60 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73613386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702106 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13441 - -13769. Calculate the remainder when q is divided by 72.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**3 + 0*w**3 + 2*w**3)*(3 - 2 + 1) - 4*w**3 - 4*w**3 + 2 + 7*w**3 - w to the form m*w**2 + o + f*w + g*w**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/120 + x**3\/2 - x**2\/2 - 57*x. Let a(f) be the second derivative of g(f). Let u(l) = -16*l. What is a(u(h))?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339*t - 1641*t - 1201*t.\nAnswer: -4181*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 148739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 252, 1066, 2678, 5310, 9184, 14522?\n\"Answer: 37*v**3 + 177*v**2 + 24*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 - 2 + 2 + 2*h**4 + 5*h**4 - 4*h**4 + (-2*h**2 + 2 - 2)*(-9 + 2*h + 9)*(-6*h + 2*h + h).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v. Suppose v = -4*x + 9 - 1. Let f be x\/(-7) - 696\/(-84). Solve 0 = -2*n - 4 + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1280528161 to the nearest integer?\nAnswer: 35784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (800\/(-15))\/(14\/(-63)). What is the highest common factor of 90 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 + 24861*h**5 + 2*h**2 + 7*h - 826.\nAnswer: -120*h**3 + 1491660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose 4*y + o = -0*y + 71, -k*o = -5*y + 93. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(19) + sqrt(19))*-4 + -2 - (2*sqrt(76) + sqrt(19) - (sqrt(171)*-3)**2).\nAnswer: -37*sqrt(19) + 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 4240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17475.779 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5263*h**3*i**3 - 8*h**2*i**3 + 4*h**2*i + 3*h*i**2 + 2*h wrt h.\nAnswer: -31578*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = 2*r + 3, 11 = r - 2*j. Solve 41 = r*c + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616075697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/17 + 26*c**3\/17 + 96*c**2\/17 + 8*c\/17 - 128\/17 = 0. What is c?\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*l + 303 + 24, -2*l = -4*v + 1308. Let j = -106 + v. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1227a886 + 2?\nAnswer: 1227a888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24836 + 68457. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/1202195 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.07 and 10.739.\nAnswer: 8.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 90.20067 weeks?\nAnswer: 54553365216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68622\/25 + -8237\/3. What is the common denominator of q and 82\/165?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1486\nAnswer: 445.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 366931903 - 366931903.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19*c = 0. Solve c = 104*x - 108*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 * 12004870.\nAnswer: -432175.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20830 (base 15) to base 12\nAnswer: 4b7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = j. Let q(n) = -j*n - n - n + 6*n. Let v(w) = 3*w. Determine v(q(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 39*a + 10. List the prime factors of f(-8).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.268557 milligrams to grams.\nAnswer: 0.000268557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from ooooououooooouooou.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y - 69. Let a = -19 - y. Suppose 0 = -10*m + a*m + 12. Calculate the remainder when 13 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5576226.\nAnswer: 2, 3, 523, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368*a**3*c - 11195*a**3 + 9727*a**2*c + 33 wrt c.\nAnswer: 368*a**3 + 9727*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:51 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0 (c) 1\/3 (d) 3\/2 (e) -0.036 (f) -1068\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427*a*u**4 + 109*a*u + 2*u wrt u?\nAnswer: 5124*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485623 = 28*p - 63065. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -2. Let f = y - 43. Let b = f + 53. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*x - 5064 = -105*x. Let i = x - 400. Is 37 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*h**3*n - 47*h**3 - 2*h**2*n - 523*n wrt h.\nAnswer: -306*n - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33.185 times -899\nAnswer: 29833.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 668 + 1674. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.3, 57, 0.3 in increasing order.\nAnswer: -0.3, 0.3, 0.4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/6 in 2\/3, -0.5, -14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29436 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -880*j**4 - 6614*j**2 wrt j?\nAnswer: -21120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -223 and -0.21809814.\nAnswer: -223.21809814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 9623.2?\nAnswer: -48116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -54*j**3 + 16*j**2 + 54*j - 5. Is k(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 10*o + 65. Give k(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + 11\/((-539)\/14). Solve y = -k + 3*n - 0*n + 11, 4*k + 26 = -2*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.55141 and 1.\nAnswer: -0.55141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + y**2 + 5*y**2 - 2*y**2 = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (2 - (162 - (-23 + 37 + 3)))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147741 (base 8) in base 15?\nAnswer: 10b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -47*q**3 + 36*q**2 + 2. Let y be 4\/5*45\/18. Let p(z) = 141*z**3 - 109*z**2 - 7. Let r(u) = y*p(u) + 7*b(u). Find the third derivative of r(j) wrt j.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26063655 (base 7) to base 13.\nAnswer: 64c236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 - -3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/13, -1.8, 0, -27 in ascending order.\nAnswer: -27, -1.8, 0, 2\/13, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*p - 171*p = -1001. Let o = p - -145. Solve -2 = -x - 5*z, x = -z - z + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 3, -3 in descending order.\nAnswer: 3, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*t**5 - 38*t**4\/3 + 20*t**3\/3 + 16*t**2\/3 = 0. Calculate t.\nAnswer: -1, -4\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(1\/6)))**11)**(-3\/8)\/((y*y**(2\/15)*y)\/y*y**1)**(6\/7) assuming y is positive.\nAnswer: y**(-1409\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1\/4)))**39*b**(3\/7)\/b*(b**(-3)\/b*b)\/b*(b*b\/((b*b**(4\/7))\/b)*b**(1\/9))**43 assuming b is positive.\nAnswer: b**(17989\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 474230184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/((-6)\/1588). Let v = -396 - o. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*1*(-3 + 0 + (sqrt(72)*-2)**2)*4.\nAnswer: -4560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10 - 5*w - 17*w + 6*w. Let h(q) = 5*q - 3. Suppose z - 5*z = 0. Let g(i) = i**3 - i**2 + i - 10. Let x be g(z). Calculate x*h(y) - 3*n(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3347722.\nAnswer: 2, 7, 43, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let k be ((-63)\/42)\/((-3)\/8). Let j be k + ((-3)\/2)\/((-14)\/(-40)). What is the nearest to t in 4, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 - 29730*s**3 - 84287739*s**2 - 50612911632*s = 0. Calculate s.\nAnswer: -4547, -816, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-173416)\/(-1908) + 1\/9. Let w(n) = -689*n + 91. Let o(j) = -30*j + 4. Give c*o(y) - 4*w(y).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k - 11*k - 3*k + 3*k. Let g(u) = -26*u**2. Give g(f(d)).\nAnswer: -234*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14*(-24)\/(-4200) - 1086\/(-200) and 81\/1372.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.7223 + 0.0823. Let y = 64 + -63.64. Let n = u - y. What is the third smallest value in 1, -3\/7, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139394434.\nAnswer: 2, 17, 33511601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*s + 28 = 0, s = 4*m - 14 - 6. Solve -w = 4*f - 18, -2 = -4*f + m*w + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 41936280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -9.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a factor of 4736443111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.07. Let q = g + -0.93. Which is the smallest value? (a) q (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11536 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 23*p**2 + 22*p + 43. Let j = -14952 - -14974. Determine v(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1 + -5)*1.\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3205 + 3249. What is the greatest common divisor of 946 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 342, 463, 710, 1119, 1726?\n\"Answer: 6*b**3 + 27*b**2 - 2*b + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-26) - 530\/65 - 75*(-90)\/864\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18694 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p + 5. Let w be k(5). Let u = -8 - w. What is the remainder when u is divided by (10 - (-2 - -2)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 119*n - 657. Let i be z(9). Let a = -220 - -274. Calculate the greatest common factor of i and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1) + (-1)\/(7\/(-35)). Suppose -8*n - 5*l = -5*n + 1, g*n - 5 = -5*l. Solve -2*y - n*y + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 + 0*k + 1\/120*k**6 - 22*k**2 - 1\/3*k**3 + 1\/8*k**4 + 1\/60*k**5. Does 37 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 3, -17, -45, -81, -125, -177?\n\"Answer: -4*w**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*-1*1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 x when three letters picked without replacement from psgipxxgxgggiixgg.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 34 + 85. Let g be 6\/(-4) - 11\/(-22). Let a be (-1 - g)\/(-5 + 2). Solve -4*x + 4*z + a*z - 8 = 0, -z + p = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -263*v + 266*v + 12, 5*v + 33 = k. Let r(j) = -j**2. Give r(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 11*c**2 + c**2 + 42233611*c - 42233611*c + 6*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028360 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/q**(2\/7))\/q)\/q))**39*(q*q**(-6\/5)*q*q)\/(q\/(q\/(q*q**(-3\/5)))*q) assuming q is positive.\nAnswer: q**(3134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 632560?\nAnswer: 632555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -739*j + 741*j. Solve j*d + 10 = 15*d - 3*n, 2*d + 2*n = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or 4?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**5 - 9*k**2 - 4*k + 14. Let s(a) = -8*a**2 - 3*a + 14. Let b(g) = 6*s(g) - 5*z(g). Find the second derivative of b(x) wrt x.\nAnswer: 100*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1867448 nanometers to millimeters.\nAnswer: 0.0000001867448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/((-18)\/(-158))*(-2)\/48 and -17\/210.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d**3 - d**2 - 5*d**2 - 3*d - 17*d**3. Let g be f(-6). Let w = g - -7040\/17. Sort w, 5, 2 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - b**3 + 5*b)*(215 + 304 + 237 - 342 + 341).\nAnswer: -755*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7 - 3*l - 3 - 43*l**2 + 1 + 44*l**2. Let d be z(0). Suppose 166 + 105 = d*g + 2*s, -5*s - 38 = -g. Which is smaller: g or 54?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 2*h + 3*h + (0*h - h - h)*(-1 + 1 + 2) + 6*h - 3*h - h - 19*h + 19*h - 18*h - 3 + (0 + 0 + h)*(-5 + 3 + 4) to u*h + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1 - (-5 - -5)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357819 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13425*z**2 + 10022?\nAnswer: 26850*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 679590.8 centuries?\nAnswer: 67959080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74, -61, -40, -11?\n\"Answer: 4*f**2 + f - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p + 2. Let h(r) = 343*r - 77. Let o(q) = 2*h(q) + 77*m(q). Let b(v) be the first derivative of -v**2 + 265. What is b(o(t))?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**6\/6 - 3*y**5\/5 + y**4\/2 - 3. Let b(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 12*x - 2. Solve 5*s + 9 = 3*t, -13 = -5*t + x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*a - 133*a - 4*a**3 + 70*a + (-2*a - a + a)*(-a**2 - 1 + 1).\nAnswer: -2*a**3 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -1a36?\nAnswer: -1a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21078682, 42157342, 63236002, 84314662, 105393322?\n\"Answer: 21078660*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7763922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*u - 21, 6 = -2*z + 4*u - 0. Differentiate -4*n**z - 4*n**3 + 3*n**3 + 2*n**3 + 2 with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))\/m*m)**(-23)\/(m**(-2\/5)\/(m\/(m**(5\/3)\/m)))*(m**(-3\/4)\/m)\/(m\/m**(1\/5))*((m\/(m*m\/m**(2\/3)))\/m)**(-26) assuming m is positive.\nAnswer: m**(-263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 - 5*f**2 + 6*f + 5. Let a(l) = -l**3 + l**2 - l - 1. Let q(j) = 2*j**2 - j - 18. Let w be q(4). What is w*a(c) + 2*x(c)?\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 6\/21) + 102\/14. Solve -5*y + 8 + k = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 14 + 6 + 6*i + 7 as n + u*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4975670301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -242305 times -0.4?\nAnswer: 96922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 13 = -3*q, 2*h = -2*q - 3 + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2*q + 3. Let p be 4\/(-16) + (-205)\/(-4). Let s be p\/15 - (-2)\/(-5). What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 77\/2*k**2 + 0 + 25\/2*k**3 + 6*k. What is the first derivative of z(f) wrt f?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z - 1 - 14*z - 9*z**2 + 5*z**3 - 4*z**3 as y*z + n*z**2 + p*z**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*c - 7038 = -3*i + 362*c, 4*i = 5*c + 9322. What is the greatest common factor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -47. Let p = g + 23. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 565 - 1314. Let t = 1079 + j. Is t a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 86*z + 87. Let y(v) = 288*v + 261. Let c(q) = -10*d(q) + 3*y(q). Determine c(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 33*o**2 - o + 1. Let d be s(1). Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2, -2*q - 2*q + 19 = j. Let d = -3.8 + 8.3. Let p = d - 5. Which is the biggest value? (a) 2 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113*-0.1075\nAnswer: -12.1475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13712615.\nAnswer: 5, 7, 391789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.18 + -0.82. What is the third biggest value in -1\/4, m, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 28*t**2 - t - 6. Is 12 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/20 + (-4716)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + 2*f**2)*(-2 - 1 - 4)*(-5 + 2 + 4).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52149475 to the power of 1\/2, to the nearest integer?\nAnswer: 7221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -7. Suppose 70*t + 690 - 2370 = 0. Calculate the lowest common multiple of t and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91929.49um in meters?\nAnswer: 0.09192949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*q - 2*q - 3 = 0, 0 = -4*h - 3*q + 7. What is the third derivative of o**2 - 4*o**2 + 5*o**2 - h*o**4 wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 858, 1281, 1704, 2127?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/24 + -65\/168. Let u = 1.3 + -0.3. Sort 0.06, u, l in decreasing order.\nAnswer: u, 0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.1 * -3.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143752, -287495, -431238, -574981, -718724?\nAnswer: -862467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 2. What is k(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 1 (c) -62 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 272114758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let s(k) = -155*k**2 - 17*k + 34. Let l(i) = -52*i**2 - 6*i + 12. Let y(t) = -17*l(t) + 6*s(t). Determine y(h(d)).\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -29*n - 307. Calculate y(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-7 + 3) - 3. What is the biggest value in f, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873874987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 12*v + 16.\nAnswer: (v - 2)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 2043421?\nAnswer: -2044001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -41. Let n(i) = i**3 + 18*i**2 + 17*i + 8. Calculate the least common multiple of n(-17) and (-2)\/(-1) + y\/(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298248 is divided by 378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-4 + -2). Let b = -11 - o. Suppose -b*i = 2*d - 144, 0 = -0*d + 2*d. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 9. Let r = 4 + 10. Calculate the remainder when x is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18800 and 1380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + 1?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15161807058204 + -1.\nAnswer: -15161807058205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 488539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 32, -49, -2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*l + 1152 - 460 + 946 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/90 and -58\/25.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {b: 1, w: 5, u: 4}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 10. Solve a = 5*y + 5, 3*y - q*a + 7 = 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrya when four letters picked without replacement from rxxmrurryrxayuuxxuu.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 46*x + 9. Let v(h) = 3*h + 1. Let a(b) = 2*o(b) - 18*v(b). Let y(f) = 25*f. What is 5*a(s) - 7*y(s)?\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28266272 divided by -1808.\nAnswer: -15634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -668.8 to the nearest ten.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 524214552?\nAnswer: 524214555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (-437 - -411)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 25*l**2 + 2*l + 12. Give x(25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b - 60. Suppose -b*k = 34 + 341. Let j = k + 61. Calculate the smallest common multiple of 4 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i. What is the nearest to i in 1, 9, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 25*y**2 + 11*y**2 + 165 + 22*y.\nAnswer: -14*y**2 + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2769 - -2817. Calculate the greatest common divisor of a and 7848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u)**15*u\/(u*u**2)*u**(-6))\/((u*u\/(u*(u\/(u*u\/((u*u\/(u\/(u**1\/u)*u))\/u)))\/u))**48*(u\/(u*u**(-1\/2)))\/(u*u**3)) assuming u is positive.\nAnswer: u**(-711\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 248\/341*(-1)\/4 - 7000\/462. Let b(j) = j**2 + j - 4. Let h be b(-5). Let n = h + q. Are -9 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -2\/7, 84\/5, 19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -86c9a (base 15) to base 13\nAnswer: -11cb15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.018 + 28.018. Let f = -46 + x. Let l = 19.28 + f. What is l rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let d(z) = 10*z + 11. Let a(g) = d(g) - 6*x(g). Suppose 4*t + 2*f - 16 = 0, 0*f - 14 = -5*t - 4*f. Is a(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75)*-1*-4)**2*4.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - -18 - 1 - (3 + -1). Suppose -z = 3*o - 4*z - 42, j*o - 74 = z. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*d + 958*d - 312*d - 309*d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -40. Suppose l = -3*d - 0*d + 300. Suppose 5*k = 465 - d. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(450)\/(2*sqrt(1296)))\/(sqrt(40)*-3*-6) + 2) + 4)**2.\nAnswer: sqrt(5)\/27 + 11943941\/186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1497.8.\nAnswer: 5991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 1329 - 1378 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87076, 174144, 261216, 348292, 435372?\n\"Answer: 2*o**2 + 87062*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-13) - 2\/(-13). Suppose -y + 3*p + 6 = j, 6 = -3*y - y - 3*p. What is the first derivative of -4*d - 3 + 0 + y wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -588 - -51?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -152c (base 15) to base 9\nAnswer: -6206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 659*u**2. Let q(i) = 66*i + 24. Let a(x) = -122*x - 44. Let m(s) = 6*a(s) + 11*q(s). What is v(m(w))?\nAnswer: 23724*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -524*i - 96.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 17 + 5*z**2 - 189*z - 151*z**3 + 191*z + 151*z**3 + 0 to q*z**3 + x*z + j + n*z**2 + s*z**4 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 27*f**2 + 18*f + 170. What is x(28)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 - i**5\/4 - 37*i**4\/24 - 51*i**2. What is the tens digit of j(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 380 (c) 0 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 60, 64, 70, 78?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36.8 * -115508\nAnswer: 4250694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -12. Let q = 0.08 + -5.38. Let o = 5 + q. Which is the biggest value? (a) -3 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 68630*o**3 + 549535*o**2 + 2402700*o - 10300500 = 0.\nAnswer: -13734, -5, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(27\/(-109)) - (85\/15 + -4 - 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzznzzizziizzz?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2 + 596*s + 598 = 0.\nAnswer: -1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389676 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.92 and 71?\nAnswer: 65.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*k + 3. Let i be k\/9*8*-9. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97\/78721 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00524 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) -3 (d) -5 (e) 6 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100470876?\nAnswer: 2, 3, 11, 31, 43, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 7*f**3 - 36*f**3 - 16 - 28.\nAnswer: -29*f**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.950818 months in decades?\nAnswer: 0.04959015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.1, 0.09, -60, 2\/13?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.645 - -138425.\nAnswer: 138423.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7957448 days?\nAnswer: 68752350720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 4 = 0. Let s be 9 + m\/((-6)\/(-9)). Solve 0*b - 3*b = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -1 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -302239?\nAnswer: -302259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 198. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3\/2*x**2 - 3\/2 - 3*x = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3032411151 - 55?\nAnswer: -3032411250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 + 96*f - 476 = 0 for f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8*c + 4. Calculate the lowest common multiple of 8 and o(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30918 - 21926. List the prime factors of r.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -154. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 512629 + 36580. Let h = c + -3285047\/6. Let p = -1694 + h. What is the common denominator of p and 3\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 - 3. Let z be -6 + o + (-6)\/(-2). Suppose 4*s + 2*v - 7*v - 999 = z, -4*v - 498 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -160, -253, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 5, 20954, -5, -240?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2722463883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:46 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 116. Let m = -105 - b. Solve m = -f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**4 + o**3 + o**2 + o. Let q(f) = -19*f**4 - 5*f**3 - 5*f**2 - 24*f. Let m(p) = -5*j(p) - q(p). Find the second derivative of m(a) wrt a.\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Find the second derivative of -5*g**2 - g + 4*g**3 + 2*g**2 + 3*g**x wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w + 545 = 2*r, -4*w - 1361 = -5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 5. Let o be (0 + f)\/(-2 + 23\/10). Calculate the greatest common divisor of o and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x + 44. Let z(b) = -13*b - 29. Let k(m) = -5*t(m) - 7*z(m). What is the remainder when 59 is divided by k(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2942 + -2720. Calculate the smallest common multiple of p and 14.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/51557 - 6032309\/3608990. What is the common denominator of -121\/50 and h?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-5 + -23 - -24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 5577*n.\nAnswer: 3*n*(n + 1859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476141 and 111763?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13))**(32\/3) assuming m is positive.\nAnswer: m**(64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 - 5*i - 17. Let c be n(-5). Let o be (-28)\/(-5) + (-8)\/(-20). Suppose -o*l + c*l = 72. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1995*l - 13384*l - 9*l)*(1 - l - 1) in the form f*l + d + h*l**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 343151773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 67.38 times -1677\nAnswer: -112996.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871703 is divided by 553099?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p**2 - 78*p + 164. Let i(d) = -2*d**2 + 78*d - 156. Let a(m) = 3*i(m) + 2*k(m). Factor a(u).\nAnswer: -2*(u - 5)*(u - 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 2*x**2 - 2*x + 1. Let c(s) = -s + 4. Let n be c(-4). Let i = n + -6. Calculate the remainder when k(1) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 331*r + 237*r - 1 as a*r + m and give a.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19280.81 and 22730383.\nAnswer: 22711102.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = j - 104, j - 58 = -2*t - 4. Suppose 4*u = 2*r + 10, -4*u + r + t = -4*r. Let q be 12\/(-56)*(0 - -2). Is q less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (4 + 32\/(-10))*85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b + 2. Let o be l(-2). Solve 3*q + 2 - 17 = o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 + 11330030111?\nAnswer: 11330031133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from {o: 3, t: 3, v: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23\/47, -0.3, 0.03, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 605753*p**2 + 1489732*p.\nAnswer: 1211506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 + 15*b - 4. Suppose 3*d - 12 = -v, -2*d = -2*v + 3 - 19. List the prime factors of a(d).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {d: 2, u: 12, h: 1, g: 3, q: 1}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - 1. Let l = 90.2 + -114.2. Let n = r - l. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwqk when four letters picked without replacement from {q: 7, w: 9, k: 2}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -156*k - 2. What is the units digit of v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 - 6*q - 9. Let s be p(-6). Let g = 25 + s. Suppose -5*j + 5*v = 6 - 76, -j - 5*v = g. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m - 45 + 53 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htqq when four letters picked without replacement from mqqxtxtxxhmxqmxxm.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382509 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igeg when four letters picked without replacement from giwgggmcemggm.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8, 0*r - 83 = -3*r - 4*x. Factor 18*k**3 + 13*k**3 - k**3 - r*k + 15*k**2 + 15*k**3 + 5.\nAnswer: 5*(k + 1)*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010799902 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-10) - 0). Suppose 4*m - 494 = -4*i - 94, n*m + 2*i = 500. Suppose 0 = -2*o + q + q + m, 145 = 3*o - 4*q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 101000010101?\nAnswer: -101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (87\/2)\/(-14 + -1). Let x = w - -5\/2. Which is the nearest to 1\/3? (a) x (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2752*u**2 + 7*u - 4. Let y(i) = 917*i**2 - 2*i + 1. Let l(w) = 2*s(w) + 7*y(w). What are the prime factors of l(-1)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sdddddddddsddddddd.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -310292 - -5.5\nAnswer: -310286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 14*j + 47. Is x(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 646.3 + -635.179. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1034.9999428 - -1035. Round l to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12005 = 3*h + 245. Let y be (-3)\/(-2)*84128\/48. Let v = h - y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u + 1. Let i be p(-7). Let a = i - 101. Is ((-379)\/a)\/((-6)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -57*d**2 + 3*d + 4. Let l be h(7). Let x = -1565 - l. Suppose 4797 = 4*y - 0*a - 5*a, 2*a + x = y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12 and 13\/1150.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:52 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -6518601609804.\nAnswer: -6518601609803.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) - (-80)\/198. Suppose 1 + 5 = 3*l. Let j be 2 + -6 + 1 + l. What is the third biggest value in j, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2 + 804 - 230 + 6*o - 209 + 627 wrt o?\nAnswer: -4*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**3 - 3*b**2 + 2*b - 2. What is the units digit of y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162467*c + 345070 with respect to c.\nAnswer: 162467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*l = 603, 5*l - l - 215 = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:57 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from jlllllllllljjlll?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 6*r - 4*r)*(0 + 1 - 2)*(2*r + 0 + 0).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1945, 1943, 1943, 1945, 1949, 1955, 1963?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 598 and 673894.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 19*q**2 - 19*q - 11. Let a be p(-18). Suppose 0 = a*v - 3*v - 8. Suppose -v*h = -4*d, 4*h = -h + 5*d + 15. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 101 = -4*w - 4*n, 0 = 4*w + 5*n - 142. Let q = 40 - w. What is the second derivative of 16*p**2 - q + 7 - p - 17*p wrt p?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.059 (b) 0.04 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -70, -74, -78?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - ((-4)\/(-4) - -3). Let j(n) = -3*n**2 - 2. Let p be j(y). Let v = 97 - p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -1034, -1025, -1012, -995, -974?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 77436*o - 499694508.\nAnswer: -3*(o + 12906)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*v + 39 = -10, -k + 4*v - 18 = k - 22 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Solve -1 = -u*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 + 2*s**3 + 6*s - 94. Give z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325) + sqrt(325) + 3 - (-4 + (sqrt(117) - sqrt(117)*1)\/sqrt(9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.77 + 0.239.\nAnswer: 20.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 6*d**2 + 749*d**3.\nAnswer: 749*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193319734?\nAnswer: 2, 3, 18413, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 2. Let f(i) = -5*i + 5. Let h(j) = 2*f(j) + 5*w(j). Suppose -3 = 4*z - 7. Give h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-5\/7)*(z*(z\/(z\/((z\/((z\/z**(5\/9))\/z*z))\/z*z))*z)\/z)\/z assuming z is positive.\nAnswer: z**(53\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 209.6771.\nAnswer: -629.0313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 551471937?\nAnswer: 551471975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20*u**2. Let j(f) = 11*f - 70. What is j(m(g))?\nAnswer: 220*g**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*((-8)\/(-4) + -11). List the prime factors of 987\/c + 12 + -15.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18968, 18362, 17358, 15962, 14180, 12018?\nAnswer: 9482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y + 2. Let z be a(0). Let r = 0 - 0. What is the second derivative of c**5 + r*c + z*c - 4*c wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 2*y**2 - 5*y - 2. Let n = 24 - 27. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1745\/4 - 445. Find the common denominator of -46\/17 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259556651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620)*4)\/((sqrt(108)*3)\/sqrt(12)))**2 - (-5*(sqrt(245) + -3 + sqrt(245) + 0 + -5))**2.\nAnswer: -25780 + 5600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2\/s*s)\/s)\/(s\/(s\/(s\/(s**1\/s)))))\/((s\/(s**(-9)\/s))\/s*s**(-3\/4)) assuming s is positive.\nAnswer: s**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 - -223 - (2 - -22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3928 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.379 + 45.379. Let a = -10 - -8. Is a < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -934*g**2 - 6*g + 6. Let t(s) = -933*s**2 - 4*s + 4. Let l(y) = 2*c(y) - 3*t(y). Let i(f) = -4*f. Determine i(l(u)).\nAnswer: -3724*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -55, -75, -81, -67, -27, 45, 155?\n\"Answer: a**3 - 2*a**2 - 29*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q - 12*q - 2541 = 154*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/11 + 5*b**2\/11 + 13*b\/11 + 7\/11 = 0. Calculate b.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from {y: 1, l: 4, x: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2668 + 729. List the prime factors of t.\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 8. Let f = -13 - -7. Give j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -106\/23?\nAnswer: -106\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 28*i - 102. What is j(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14515348 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a + 41. Let i = -1 + 6. Suppose i*q = 8*q. List the prime factors of w(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 17*u - 342 = 362 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 29*x**2 - 189*x - 9. Let n be v(19). What is the second derivative of -68*t**2 - 14 - 185*t**2 + 21 + n*t wrt t?\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 5, y: 6, q: 2, z: 2, u: 1}. What is prob of sequence jzx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 19 = -13. What is the greatest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 21*w**4 + 13*w**2 - 34*w. Let i(y) = -10*y**4 - 6*y**2 + 17*y. Let f(a) = -13*i(a) - 6*q(a). Find the second derivative of f(h) wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 2*r**4 - r**4 + (221*r**3 - 59*r**3 + 248*r**3 + 2*r)*(-1 - r + 1).\nAnswer: -411*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.68 - -1.4. Let h = n - -0.08. Round h to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ndsnsansssssnas?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 0*p + 3*p - 3*p + p**3. Suppose -12 = 2*i - 3*w, 3*w = 172*i - 167*i + 12. Calculate y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.181 - 5.181. What is the second smallest value in 3, j, -2.812?\nAnswer: -2.812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7824 is divided by 484?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264828?\nAnswer: 2, 3, 29, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1518d32 - -4?\nAnswer: 1518d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 - 388*t**2 + 1157*t - 770 = 0 for t.\nAnswer: 1, 2, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 86. Let u be (0 + 0)\/(-3 + t). Suppose u = -5*f + 2*y + y + 151, 0 = 4*f + 5*y - 143. Calculate the greatest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 times 8?\nAnswer: -0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.03764?\nAnswer: 0.03764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 221, -71, 0.5, -1\/2, 5, -0.12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l. Let n(o) = -2*o. Calculate n(c(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/4200 and 131\/86524800.\nAnswer: 605673600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80763 or 242293\/3?\nAnswer: 242293\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 6*b - 22. Let k be i(-4). Suppose -36*j + 6 = -k*j. Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 0.07.\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10221210 (base 3) to base 10\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(2\/21)\/v)*v\/(v\/v**20))**(1\/24) assuming v is positive.\nAnswer: v**(439\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**5 + 57*u**3 - u**2 + 5184*u wrt u?\nAnswer: -80*u**3 + 342*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -85 - 161. Let l = 61 - q. Find the common denominator of 15\/l - (34\/(-12))\/(-1) and 76\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2\/2 + 7*t - 28. Let s be x(-11). Sort -2, 1, s, 4 in ascending order.\nAnswer: s, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -831*o + 19 + 816*o - o**2 - 4. What is the remainder when v(-5) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*a - 4. Let r(p) = -2*p**3 + 350*p**2 + 408*p - 9853. Let c be r(176). Suppose 0 = -2*s - s + 15. Solve -c = a*f - s*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 - 65*j**2 + 589519*j + 205350869 wrt j?\nAnswer: -6*j**2 - 130*j + 589519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 213977323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(6\/(-4)) + (-96)\/(-36). Let u = 51 - 41. Suppose 11*a + u = 16*a. Solve 3*v = 3*d + l*d + 20, a*d - 5*v = -27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 48 = -5*l. Let q(h) = h**3 - 4*h**2 + 2*h - 6. Let b be q(4). Put b, l, -6 in decreasing order.\nAnswer: b, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - -2728?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*i = -5, -2*i + 0*i = -2*m + 18. Let u(f) = 9 - 2 + m*f + 0 + 0. Let d(w) = 7*w + 6. What is 7*d(p) - 6*u(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 7*g + 14 + 11 + 2 = 0, -2*j + 29 = g + 4*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 1) + 34 + -31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abxaxbxuxjb. Give prob of picking 2 a and 1 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 52*b - 235. Let m be s(30). Solve -5*a + 2 = -4*v, 0*v + 2*a = -m*v - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4659 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i = -62*i - 345865. List the prime factors of i.\nAnswer: 5, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrzttrtttttzztzkrtt. Give prob of picking 3 r.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 7) to base 6.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5155460935 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*x**5 - 1855*x + 2.\nAnswer: -7180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16358867*c**2*i*q + 5*c**2*i*w**2 - 169*c**2*i + c**2*w - 2*c*q*w**2 + 2*c + 22*i*w**2 - i*w wrt q?\nAnswer: -16358867*c**2*i - 2*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 4*f**2 + f + 2. Suppose -r = -1 - 1. Calculate the smallest common multiple of g(r) and (-116)\/(-14) - (-2)\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*q - 37, 4*q + 3*s + 17 = 60. Suppose -57*b = -11*b - 920. What is the lowest common multiple of q and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.492 and 2.\nAnswer: -54.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Does 17 divide 3\/h*(-5 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*w = -22, -3*d - 5*w - 10 = -30. Suppose -4*b - 3*z + 106 = 0, 0 = -4*b + 34*z - 39*z + 110. What is the greatest common factor of d and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f + 3*f + 0*f - 27*f. Let a(g) = -9*g - 7. Let q(i) = -8*i - 6. Let l(v) = -6*a(v) + 7*q(v). Give l(r(h)).\nAnswer: 76*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.803 + -0.403. Which is the third smallest value? (a) -4.1 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 - 179*g**4 - 1283*g**2?\nAnswer: 120*g**2 - 4296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*6\/(-1305))\/((-77)\/(-35)). Let h = -680\/6699 + t. Put 5, -3\/2, 26, h in decreasing order.\nAnswer: 26, 5, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - -5 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**5 + 0*n**3 + 0*n - n**5 + 0*n + (4*n - 4*n + 2*n)*(3*n**3 + n**4 - 3*n**3) - 2*n**5 + 4*n**5 - 4*n**5 - 3 - n**5 + 3.\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -1.8. Let s = h - 0.91. Is s bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 10*i + 4. Let x be s(-10). Let m = -7 + x. Let z = 8 + m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -73*q**2 + 12*q - 7. Let u(p) = 64*p**2 - 10*p + 6. Let d(h) = 5*l(h) + 6*u(h). Let n(y) = 24*y. What is d(n(o))?\nAnswer: 10944*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41318, -41324, -41332, -41342, -41354, -41368?\n\"Answer: -q**2 - 3*q - 41314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**2 + 5628*j + 420580.\nAnswer: 4*(j + 85)*(2*j + 1237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39343, 78671, 117999, 157327, 196655?\nAnswer: 235983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 26 = -k, -5*k - y + 10 = 3*y for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.008+-0.036\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 58 = -62. Suppose -2*a = -5*u + 26, 5*u = -4 + y. Let o = 7 - 11. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20 + 3\/24*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389 - -397. Calculate the remainder when 177 is divided by 322\/21 + s + 1\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (11 - 0 - -2) + 4 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 21 + 5*k + 9.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791784.\nAnswer: 2, 3, 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-332)\/(-100) + (-1 - 2). Let u = 115762\/17725 + 134\/709. Let x = y - u. What is the common denominator of x and -21\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 579363242*n**2 - 207374857*n.\nAnswer: 1158726484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a microsecond in nanoseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 4 = 26*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvppvv. What is prob of picking 1 p and 2 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 100910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -6, 0, 39, 3\/8, -2\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 736206 and 60.\nAnswer: 7362060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 24 - (2 + -9) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04462524871 rounded to four dps?\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.21753 - 0.07047. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 99, 156, 213?\n\"Answer: 57*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6)**(-16)\/(b**(1\/11)*b*b**9*b*b*b) assuming b is positive.\nAnswer: b**(-1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 11. Let j(i) = 1124*i + 12. What is 3*f(a) - 3*j(a)?\nAnswer: -3375*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from dtdtuudd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14726570 and 0.13?\nAnswer: -1914454.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 5*s**5 + s**5 + (0*s**3 + 5*s**3 - 3*s**3)*(-44*s**2 + 71 - 71).\nAnswer: -91*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1842 - 1842 + 32*u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 40*i = 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) 0.3 (c) 72.2 (d) 0.048 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002010222110122 + -11?\nAnswer: 10002010222110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -49. Let f = 28.94 - c. Round f to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 100, 101, 102, 103, 104?\n\"Answer: s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 224344122?\nAnswer: 224344203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5126 (base 7) in base 8?\nAnswer: -3370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccco when four letters picked without replacement from {o: 5, y: 1, c: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m + 4954 - 5570 = 0. Solve m*b = 30 - 63 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037965 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15520 + -2107218891.\nAnswer: -2107234411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(-2 + sqrt(75)*1) - (3 + (1*sqrt(75) + 3 - sqrt(75) - (3 + 2*sqrt(75)))**2).\nAnswer: -303 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -3, -1, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 3*n**3 + 3*n**3 + (14 - 4 + 2)*(9*n**3 - 16*n**3 - n**3) to i*n**3 + b + k*n**2 + o*n and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, -2, -3\/2, -0.4, 96 in decreasing order.\nAnswer: 96, 0.21, -0.4, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 630608.\nAnswer: 2522432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + c. Let n be (-6)\/15 - (-64)\/10. Let w be l(n). Solve 4*z - 22 = 5*j, -3*j + 6 = -2*z + w*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 261801677.\nAnswer: -261801679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 + 2*j**3 + 2*j - j**2 + 4*j + 1 + 17*j to n + y*j**3 + w*j + l*j**4 + b*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbqbjbqjbbbbqb. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(((-48)\/198)\/4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -3*p + 46, 5*c = -5*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**3\/3 + 9*n**2 + 19*n - 27. Is 9 a factor of f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002488 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -0.06 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3*g**2 + 12624*d**3*g - 10*d**3 + 642*d wrt g?\nAnswer: -2*d**3*g + 12624*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1289, 1329, 1369, 1409, 1449, 1489?\n\"Answer: 40*o + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3471 + -3414. Solve 6*z - 27 + p = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 + (80\/(-14) - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 7 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 808 + 816 = f, 8*f - 44 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + c - 2*c - 53 = 0, 2*p + 4*c = 22. Let a be 2 + (-4 - 0\/4). Let i = a - -38. What is the remainder when i is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -350, -352, -354, -356?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587832 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: Suppose 0 = 437*i - 17280 - 1511. What is the least common multiple of i and (3 - 1)\/((-4)\/(-14))?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 48 - 18 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**5\/10 + u**3\/2 + 2*u + 3. Let g(m) be the first derivative of d(m). Find the second derivative of g(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 261*c - 5304. Calculate the lowest common multiple of a(24) and 3360.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9531 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1594 * -2411.\nAnswer: -3843134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -47. Let j(w) = -4 + f + 11*w - 26*w. Let z(t) = -8*t + 3. Let h = -929 + 925. Calculate h*j(c) + 7*z(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) + 126366\/(-42) + 1. Let u be s\/(-2) + 16\/(-4). Let n be (496\/3)\/((-8)\/u). Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -23*x - 13. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 11*n**8\/1680 - n**4\/12 + 5*n**3\/2 + 14*n**2. Let j(o) be the first derivative of f(o). Differentiate j(d) with respect to d.\nAnswer: 44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) 2017 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 5. Let c be -1 + 3 + -1 + -12 + 0. Let m be (-4)\/1 + (-99)\/c. Solve q = f - 4*f - m, -35 = 5*f - y*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -354235.\nAnswer: -57\/354235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + 0*w**2 + 4*w**2)*(-5*w**2 - 4*w + 4*w) + (-3*w**3 + 3*w**3 + w**3)*(3*w - 5*w + 4*w).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*h**2 + 2*h - 30*h**3 - 17*h**3 + 93*h**2 + 76*h**3 wrt h?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -104. Suppose -2*m + 8*m - u = 0. What is the remainder when 13 + 1*(-1)\/1 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 2 - sqrt(245))*-5)**2 + ((sqrt(245) - (sqrt(245) - 1*sqrt(245)))*2)**2 + (5*(sqrt(245) + 2 - sqrt(245))**2 - (-1 + -1 + sqrt(245))).\nAnswer: -7*sqrt(5) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/8 - z**3\/2 + 2*z**2. Let d be f(2). Suppose -5*u = h - 23, u = h - 0*h + 7. Solve -2*j + u*j = -d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.327588 rounded to two dps?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2 + 3*m**3 + 2*m - 4*m**3 + 5 + 9 - 13*m. Let s be l(10). Let w = 342\/11 + -344\/11. Which is the third smallest value? (a) w (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 989?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.554 and -58494.\nAnswer: -58461.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = k + 29, -2*k + 7*f - 22 = 51 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*x = -3337*x + 131859 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbppbbppbpbb. What is prob of picking 4 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose y - 4 + 0 = z. Solve 0*s - 3*s - 10 = -5*f, -35 = -3*s - y*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 8*f - 5*i + 76, 243*f - 242*f + 5 = 4*i for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -487232, -487234, -487236, -487238, -487240?\n\"Answer: -2*l - 487230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 33359922?\nAnswer: -33359927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434786 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 155 = 152 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -19. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.201 + 1.15. What is the third biggest value in 2\/7, o, 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -1\/2*c**2 + 3*c**3 - 12*c - 5\/12*c**4 + 9\/20*c**5 + 0. What is the second derivative of t(r) wrt r?\nAnswer: 54*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12337607 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 6*o**2 + 6*o. Let g be j(-5). Find the common denominator of -26\/15 and (-338)\/60*1 - (-11)\/g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -71*g + 832 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 1\/12*q**5 + 21*q**2 + 0*q**4 + 0 + 0*q - 1\/2*q**3 + 91\/120*q**6. What is the third derivative of i(f) wrt f?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**4 - 2256*i**3 - 4503*i**2 - 2250*i = 0.\nAnswer: -750, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88.038 - -1.062. Let g = q + -87.1. What is the nearest to -1\/4 in 0.04, -3, g?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.462 - -0.262. What is x rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0*j**2 - 3 + 5 - 3 - 7*j - j**2. Is w(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3026\/3 - (2\/3)\/1. Suppose -2*m + i = -2*z, -5*m - z = -2523 + 15. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 45*q**2 + 9*q. Suppose -11*i + 13 = 35. Let o(h) = -11*h**2 - 2*h. What is i*a(r) - 9*o(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*q**2 - 1171312*q + 38785 = 0. What is q?\nAnswer: 5\/151, 7757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202047\/4 + 50512. Let h = -0.1 - -4.1. Which is the second biggest value? (a) o (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96910*g**4 + 825*g**3 - 224527964*g wrt g.\nAnswer: -1162920*g**2 + 4950*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x - 4 = 0, 2*z + 13 = -5*x. Let i be 185\/35 - z\/(-14). Suppose 459 = -3*y + 8*y - 3*d, i*d - 475 = -5*y. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 1\/6 (c) 14 (d) -0.3 (e) 3 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9*l - 35 = 0. Suppose -i + 6 = -4*i. Let z(h) = h + 3. Let t(s) = -1. Calculate i*z(x) + l*t(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-12) - (-1)\/(-3))\/(-16 - -22). Let z = 1\/20 + -11\/60. Which is the third biggest value? (a) m (b) -0.2 (c) 23 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8447839.\nAnswer: 8447839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 100*f - 53. Determine b(-3).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33696 + 33696 - 225*c to h*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (16 - 10) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 + -3300313?\nAnswer: -3233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-22))\/(2\/(-16)). Suppose f + f = k. Factor c**2 + 6*c - 3 + c**2 - 5*c**f.\nAnswer: -3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 3*t + 13. Let x be p(-5). Let v = 1 + x. Solve 3*i + 0*i = -3*o - v, 5*o + i = -20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 0.3, 613, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - f + 16. Let t be k(0). Suppose -3*a = h - t, h = -a + 2*a. Find the second derivative of -a - 3*p - 4*p**2 + 1 + 3 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539135812 to the power of 1\/3, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*j - 378 + 378 - 336*j to the form p + c*j and give c.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {y: 1, f: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011201112120 (base 3) in base 11?\nAnswer: 1285a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/5)\/(3\/18). Let t = h - 0. Suppose -2*g = -5*v - 33, 3*g + v + v - 2 = 0. Which is the third biggest value? (a) g (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 1302, 2752, 4734, 7248, 10294, 13872?\nAnswer: 17982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 10 = 0. Suppose 2*w = f*w - 42. What is the greatest common divisor of 154 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -255 + 283. What is the highest common divisor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.8. Let m(n) = n**3 + n**2 - 5 + n**2 + 4*n**2 + 1 + 5*n. Let w be m(-5). Sort 2\/3, w, i.\nAnswer: w, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -0.1 (c) -3\/71 (d) -3\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/a**(-10) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)\/n*(n\/(n*n*n**(-7)))\/n)\/(n*n**(2\/7)\/n*n)**24)\/((n*n**(-2)\/n*n)**(-1))**(-33) assuming n is positive.\nAnswer: n**(79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0.4, 36.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -32055 (b) -0.5 (c) 4 (d) -1\/4 (e) 1 (f) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1196449, 4785816, 10768117, 19143352, 29911521?\n\"Answer: 1196467*q**2 - 34*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/351 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75638 divided by -4.\nAnswer: -37819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 55106000 to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/7)*h))**(28\/5) assuming h is positive.\nAnswer: h**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Let g(l) = 4*l - 2. Let w be g(5). Let p be 4\/w - 16\/(-9). Sort -2, f, p in increasing order.\nAnswer: -2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 2:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Suppose 8*s = 4*s. Let m = 0.4 - 0.5. What is the closest to -0.2 in s, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6466 - -6466. Which is the closest to 1\/14? (a) 5 (b) -2\/15 (c) 2\/7 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-31 + 2 + 12 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 12 + 4)*(3 - 3 - 3)*(-30*k + 20 - 20*k + 15*k).\nAnswer: 1575*k - 900","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*f*u**5 + 12*f*u**4 + 101*f - 3*u**2 wrt u?\nAnswer: 900*f*u**2 + 288*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t)**9*t*t*t\/t**(-5)*(t\/(t*t\/t**(2\/7)))\/t assuming t is positive.\nAnswer: t**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -134 (c) -5\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 4*k**2 - 7*k. Let z be t(-5). Find u, given that 9*u - 6*u**3 + 4*u**2 - 2 + 9*u + z*u**3 - 58*u**2 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 - 3 = 0. Suppose -4*i + i = -u. Suppose 4*v + x - i = 3*v, -v = -5*x - 16. Solve 0 = -j - j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(931))**2.\nAnswer: -28*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4*f**4 + 4*f**3 + 4 - 12*f**2 + 13*f**2 + 2*f**2 in the form v*f**3 + p + a*f + c*f**4 + l*f**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 + -427. Let d be (2\/(-4))\/(11\/f). Solve u = 4*u - 3, 0 = z + 3*u - d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let t(l) be the first derivative of -83*l**4\/12 + l**3\/3 - 164*l + 5. Let p(i) be the first derivative of t(i). What is p(s(g))?\nAnswer: -332*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183742 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269921010 divided by -3.\nAnswer: 89973670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 4)*((-6)\/(-4) + -2). Solve x*q - 16 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 41169380.05?\nAnswer: 41169378.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -0.08, -1, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1034 + 3?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 316*z**2 + 9*z + 10. What are the prime factors of q(-1)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -20.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -106890 divided by 21378\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -593, -1037, -1473, -1895, -2297, -2673?\n\"Answer: y**3 - 2*y**2 - 445*y - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((162\/12 - 9) + -4)\/(1\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1338857794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164580 - 1813010\/11. Let g = x - -236. What is the common denominator of -13 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*r - 3, i - 3*r = 2 - 5. Sort -2, i, -5, 0.\nAnswer: -5, i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3683141157 = -81*c - 575028843. What is c rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41182 + 41182 - 39*n + 0*n - 2*n + n + (-4*n - n + 4*n)*(-3 + 2 + 3) + (0 + 0 + 1)*(-6*n + 3*n + 2*n) + 6*n + n - 3*n to the form v*n + m and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 3. Let c be b(9). Let o = c + 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-49))\/((-20)\/(-140))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 + 1065 = 63*w. Calculate the greatest common factor of w and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/5 - 270*y**3 - 19638*y**2\/5 + 21422*y + 25080 = 0.\nAnswer: -660, -19, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 655 + 15c7?\nAnswer: 1c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100077259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:35 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80540995 + -1596.5?\nAnswer: 80539398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3056 or 3054?\nAnswer: 3056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 668 = -47*d + 488. Solve 4*w + 24 - 2 = -2*p, -2*p - 3*w - d = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84 + -2739b0?\nAnswer: -273928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**3\/3 - c**2 - 43. Factor s(b).\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 32313255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2*u - 78, -4*r = -1746*u + 1750*u - 72 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 28*k**2 - 56*k - 3. Calculate the remainder when x(-26) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55532777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/2))**(-32)\/((m**(1\/8)\/m*m)\/(m*m\/(m*m**(-2\/7)))))**(14\/13) assuming m is positive.\nAnswer: m**(-831\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -880 - -875. Let a = 1.7 + -1.9. Let h = a + 0.6. Sort -4, r, h, -1 in decreasing order.\nAnswer: h, -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -13*t + 288. Let s be t\/30*-10*44. Calculate the greatest common divisor of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/60 and 29\/882292?\nAnswer: 13234380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*78\/(-65)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -630 + 2230. Calculate the greatest common divisor of u and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/((-682)\/62))\/((-30)\/(-2))*-245?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-3\/14))\/k**(14\/11)*(k\/k**(-8))**19 assuming k is positive.\nAnswer: k**(26479\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqwqwwwqwwwww. What is prob of picking 2 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose -3*f - 4*o + 20 = 0, -p*f - 5*o + 21 = -7. Calculate the remainder when 32 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 50 + -10 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 14 + 4*o - 6*o - 2 in the form p*o + y and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovnor. Give prob of sequence nv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**3\/3 + 1. Let p(l) be the first derivative of l**2\/2 + 4. Determine k(p(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21314545387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 - 7\/(21\/6). What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2*r + 1. Let x be d(3). Let k = -8 + 11. Put x, -2, k in descending order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2 + -7 - -5)*-1)\/(-1). Let c(h) be the first derivative of 1\/4*h**4 + v*h**2 - 7*h - 5\/3*h**3 - 3. Determine c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 13)\/((-8)\/(-6)). Let k(p) = p - 6 - 4 + 2 + 1. Give k(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-4)\/((-16)\/6)). Let u be 3\/w - (4 + -2). Which is the closest to -2\/5? (a) 0.2 (b) u (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*b + 5 = -15, n = 4*b - 16. Let u = n - -1. What is the least common multiple of u and (-161)\/(-49) + (-4)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-1 + 8 + 23)*(4*s + 2*s - 3*s)*(0 + 2 - 4).\nAnswer: 180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 221?\nAnswer: -16\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 17. Suppose -2*j + 36 = 2*y, -2*j - 2 = -u*y - 17. What are the prime factors of j*(-1)\/(-6)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*p + 98 = 1125*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-20)*(-2 + 2). Solve 2*m + t*g - 31 = -5*g, 0 = -2*g + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 136497, 272776, 409057, 545340, 681625, 817912?\n\"Answer: f**2 + 136276*f + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.14253 and 0.3.\nAnswer: 6.44253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6071101211.\nAnswer: 7, 229, 353, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 3*l - 5 + 1 + 3 - 5*l.\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-2*25\/(-20). Let m(t) = 4*t - 4*t - p*t + 4*t + 14. Give m(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 6*c + 306. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929187 not equal to 929187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -664 - -664.3. Which is the nearest to 0? (a) g (b) 4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -19*h**4\/12 + h**3\/3 - 47*h**2 - h. Let y(n) = n. Determine y(p(m)).\nAnswer: -38*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + 2.6. What is the nearest to 1 in 0.2, u, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:18 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -14. Suppose -18 = -3*b + 2*x, -b = -o*b - x + 1. What is the remainder when 12 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-363)\/(-110)*6720\/504?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5 + 2 - 26991)*(210\/(-18) + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-3 - -6) - -9. Let l(s) = s**3 - 5*s**2 + 3*s + 5. Let a be l(4). Let i = o + a. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1276839872588 and -1.6.\nAnswer: 1276839872586.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 3*h**2 - h + 1. Let s = 170 - 58. Let b = s - 115. Give y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10291 or -10292?\nAnswer: -10292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 39*q + 10. Is 44 a factor of c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from {j: 6, b: 10, s: 2}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3763617 and 145\/48?\nAnswer: 60217872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 1, -1\/42, 2\/13 in descending order.\nAnswer: 10, 1, 2\/13, -1\/42, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 2*l + 10. Let h be r(0). What is the second derivative of 11*n - 8*n - h*n**2 - 11*n**2 + 1 - 2*n**2 wrt n?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/63 + 1 - -6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76.28512 decades?\nAnswer: 9154.2144","meta":{"dup_signals":{},"source":"measurement__conversion_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: Suppose 0 = 4*z - 4*i - 12, -z - i + 5 = -2. What is the second derivative of -3*y**5 + 6*y - y**5 + 3*y**z wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 18 = 2*u - 4*u, 2*u = p + 3. What is the nearest to -2\/15 in -0.3, u, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 3*x**6\/20 - x**5\/3 - 10*x**2. What is the third derivative of c(n) wrt n?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/27*354\/(-413)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -46944498153 + 0.26\nAnswer: -46944498152.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anetnteqattata. Give prob of picking 2 a, 1 e, and 1 t.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 645.493726 - 646.922. Let q = u + 1.6282. Let d = q + -0.2. Round d to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0.87121\nAnswer: -5.87121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -285 + 288. Suppose -o + 1300 = k*v - 450, 5*o = -4*v + 2337. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265.721ng in tonnes?\nAnswer: 0.000000000004265721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333175.4l in millilitres?\nAnswer: 333175400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 - 335. Let b be (d\/(-8))\/11 + 2. Let 0 - 3*u**3 + b*u**4 - 4*u - 10*u**2 = 0. What is u?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5044734 to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37748 (base 9) in base 7?\nAnswer: -134021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**2 + 304*f + 1420. Calculate v(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16088 - 294037.83912. Let m = 294037.8699912 + l. Let u = 0.13 + m. What is u rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 807\/(-9))*-213. Suppose 5*p + 20475 + w = 0. Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmcmxxcxxcmxcmc. What is prob of picking 1 x and 1 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t = -40*t + 65020450. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a minute in seconds?\nAnswer: 2670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 3. Let z be j(-3). Suppose 0 = k, 3*p - 4*k + k - z = 0. Solve 0 = 5*t + 4*i + 35, p*t - t + i + 11 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*f + 35 = 2*z, -3*z - 2*f = -5. Suppose l = -z + 50. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 17, 20, 23, 26, 29?\n\"Answer: 3*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**5 + w**2 - 2. Let l(v) = 717*v**5 - 954*v**2 + 8. Let z(h) = -l(h) - 4*r(h). Find the third derivative of z(c) wrt c.\nAnswer: -42780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/1802 - (-776)\/(-1360).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15610)\/(-30) + (-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 9 (c) 1\/3 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15377 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*t = -44*t + 181*t - 6318. Let n be (-3 - -2) + 2 - -22. Let a = n + -10. Calculate the highest common divisor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 127. Suppose -38 = -2*i - f. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3110786.\nAnswer: 2, 7, 222199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254.4 - 254.5. Which is the smallest value? (a) d (b) 1\/3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 10*r - 13*r - r + 2*r to the form s + c*r and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + -3 + (-25 - -33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -687482 + 5?\nAnswer: -687478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slshshshsssqlshs. Give prob of picking 2 l and 1 q.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48222 is divided by 287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12193387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*d**3 - 26*d**2 + 218*d wrt d.\nAnswer: 144*d - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + 2*u - 23. Let b = 3113 + -3120. Let g(y) = -9*y**2 - 2*y + 24. Determine b*m(n) - 6*g(n).\nAnswer: -2*n**2 - 2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2024342403 - -4?\nAnswer: 2024342412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22597 + 1?\nAnswer: 22598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**2 - 22*z**2 + 1 - 3*z + 5*z - 5*z to the form x + l*z + y*z**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 11*n. Which is the second smallest value? (a) 2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p + 0*p)*(2175*p**2 - 6 + 6 - 2372*p**2 + 16*p).\nAnswer: 197*p**4 - 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-1896)\/13904)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 843309791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = -y - 3*y - d, 15*y + 34*d - 540 = 10*y - 37 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 797343827 a multiple of 1381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3626435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 1\/46, 1, 4?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 4, 0.4.\nAnswer: -3\/11, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 6*d + 3*d**2)*(3*d + 2*d + 2*d**2 - 2*d).\nAnswer: 6*d**4 + 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + 23 + 712349\/31 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*j**2 - j**2 - j**2.\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12591, 2.4, 2, -6 in decreasing order.\nAnswer: 2.4, 2, -6, -12591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*k + 3. Suppose -12 = -k*y - y, -38799997 = -2*u + y. Round u to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.42.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -97710.697 to the nearest one hundred.\nAnswer: -97700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11934177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202 (base 3) to base 13.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/13 + 1232*d**3\/13 - 37090*d**2\/13 + 207936*d\/13 + 990720\/13 = 0.\nAnswer: -645, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((140\/45)\/(-14))\/(8\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*c - 8*o, -119163*c = -119165*c + 2*o + 20 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 31. Calculate the remainder when 80 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 3. Let k be d(-2). Let t(p) = -4*p**2 + k*p**2 - 3*p**2. Let a(x) = -3*x**2. Calculate 6*a(z) + 10*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**3 - 15*n**4 - 20*n**3 + 60*n**3 - 24*n**3 + 6*n**2.\nAnswer: -3*n**2*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + (-90)\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3123 + 4478. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5524489811 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 443, 440, 435, 428?\n\"Answer: -n**2 + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6944 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48696 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108.88 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*i - 3*i + 3*i + 2*i + (-1 + 1 + i)*(-2 - 3 + 6) + 2*i - 7*i + 3*i + 26 + 0*i + 48*i - 50*i)*(-1 - 3 + 0)*(3*i - 2*i - 3*i).\nAnswer: 8*i**2 + 208*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 139.2 * 551\nAnswer: 76699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -14. Let d be 1199 + (n - 3) + 1. Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let u(n) = n**2 - 6*n + 8. Let l(x) = -k(x) - u(x). Suppose 0 = 2*w + 3*h - 24, w = 3*h - 7*h + 22. Calculate l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -68513717 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*((-3)\/(-2) + 0). Let z = -18 - j. Suppose 3*k + 44 = r - k, -5*r = z*k - 128. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -0.1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 + 375*f - 58. Give m(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2e0?\nAnswer: 2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let l(j) = -3 + 0*j + j + 11. Let s be l(0). Solve s*c = z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 695 - 39. Let b be 42\/(-30) - 6\/10. Is ((-3)\/(-6))\/(b\/d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 = -2*c, -38 = -3*c - 5*d + 20. Let j(f) = -2*f + 16. Let r(q) = -q + 8. Give c*r(h) - 6*j(h).\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100188758*y**3 - 37241027 wrt y.\nAnswer: 300566274*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1519, -2992, -4465, -5938, -7411, -8884?\nAnswer: -10357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 640. What is the units digit of 1 + -1 - p\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {d: 1, u: 6, q: 2, t: 5, z: 5}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/((-20)\/(-78)) - 5. Solve 5*h = -25, -4*j + 5*h + k = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18495761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5923, 6495, 7441, 8761?\nAnswer: 10455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2664\/11 + 242. Which is the nearest to 1? (a) 3 (b) l (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/9280 and 131\/90916160?\nAnswer: 90916160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j**3 - 1. Calculate a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + f - 7, 16*s - 42 = 14*s - 6*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 31. Let h be r(10). Which is the nearest to h? (a) 1\/5 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 1100010100010101100011100?\nAnswer: -1100010100010101011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 + -155. Suppose 12*v - a*v = -1. Solve 5*o - 4*n + v = 0, 14 = -0*o + 2*o + 2*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 8. Let q(c) = c**2 + 5. Let n(v) = -5*b(v) - 7*q(v). Let r(k) = -k**2 + 4. What is 3*n(u) - 4*r(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -b + 1, -4*b = i + 14 - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let j be p(-4). Suppose -7*s + 2*s = -3*c + 71, 0 = j*c + 2*s - 60. Calculate the remainder when 82 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 + 0 + 4858*s**2 - 4858*s**2 + 0.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*z = -0*z - 12, 892 = -7*o - 2*z + 907 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*w + 170 + 523 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.8239 millilitres to litres.\nAnswer: 0.7638239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -18 + 25 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/36*-9*(125 - 1). Let w = 226 + y. Calculate the highest common factor of w and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 - (8 - (3 + -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*f - 33*f - 16*f)*(1 - 3 + 1 + (1 + 4 - 2)*(0 + 0 - 2)) + 2*f - 5*f - 2*f in the form h + x*f and give x.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 84*v - 48*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3)\/((-4)\/4). Solve 5*d + 2*v = d - 2, -u*v - 16 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(65) + sqrt(65) - 4*sqrt(65)*2)\/(1*sqrt(1620)).\nAnswer: -5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5 - 23\/4) + 472432\/64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*5\/(-4))\/(108\/216). Let p(q) = -4 + 2 + 1. Let z(o) = o + 1. Let x(b) = f*p(b) + z(b). What is x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282072275 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72554227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 + 49\/7)\/(2\/14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -5, -64, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -209 - 95. Solve 0 = -c*w + 4*w + 2*j + 20, 0 = 2*w - 2*j - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 17*y**2 + 18*y - 10. Let g be c(18). Let d(r) = r**3 + 11*r**2 - 4*r - 15. Let p be d(g). Let w = p + -100. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12442819.\nAnswer: 3067, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-96)\/95)*-53 and 39094\/(-1430) - (-63 - -36)?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 3\/4 (c) 2\/9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055884410 a multiple of 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:28 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 3*(sqrt(475) + -1 + sqrt(475) - sqrt(475))*2).\nAnswer: -10 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(5 + (sqrt(70)\/(sqrt(80) - sqrt(5)))\/sqrt(2)) - 6*(5 + sqrt(252) + 2 + (sqrt(252) - -1*sqrt(252) - sqrt(252))))**2.\nAnswer: 29614*sqrt(7)\/3 + 382315\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1905, 2175, 2639, 3303, 4173, 5255?\n\"Answer: a**3 + 91*a**2 - 10*a + 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a065670 (base 11) to base 14\nAnswer: 2518c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**8\/14 + d**6\/10 - 31*d**5\/10 - 113*d**4\/6 - d**2 + 3*d - 454. What is the third derivative of t(n) wrt n?\nAnswer: 480*n**3 + 72*n - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261518 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: Two letters picked without replacement from utuuffufu. Give prob of sequence ut.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 12. Let s(c) be the third derivative of -1\/6*c**3 + 0 - 1\/20*c**5 - 1\/120*c**h + 5\/24*c**4 + 0*c - c**2. Determine s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -11, 1\/2, -21352?\nAnswer: -21352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 + 4 = 0, 3*f = 5*b - 2484. What is the highest common divisor of 45 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -9533, -156 in ascending order.\nAnswer: -9533, -156, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 5*q**5 + 0*q**5 + 2*q**5 + 3 - 3 + (-4 + 6 + 0)*(2*q**5 - 4*q**4 + 4*q**4) - 145*q**5 - 121*q**5 - 66*q**5.\nAnswer: -330*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtnzntnqynqtn. Give prob of picking 1 q and 1 z.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143041 and 15963.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -12. 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(j) = 4*j**2 + 44*j + 24. What is the hundreds digit of m(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7460232, 14920473, 22380722, 29840979, 37301244, 44761517?\n\"Answer: 4*y**2 + 7460229*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 200*m + 1374. Let n be v(-46). Let f(z) = -z**3 + 2*z**2 + 3*z + 3. Let j be f(3). Which is the closest to j? (a) n (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 892.\nAnswer: 5\/892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.4 and 68536.\nAnswer: 68537.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-2*15*20\/(-50). Suppose -4*b + 6 = t + t, -3*b = 4*t - x. Let l(n) = -2*n**2 - 2*n - 3. Let d(c) = -c**2 - c - 1. Calculate t*d(a) - l(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 4021032*a**3 - 4042150459992*a**2 + 48506239792224*a - 145519153649424.\nAnswer: -(a - 6)**2*(a + 2010522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3212 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + (5 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/5605 and 8\/111207.\nAnswer: 32806065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n + 15 = 47*n. Suppose -n*q = 15, -4*y + 24 = -0*y - 4*q. Suppose 2*c - d - 6 = -0*d, 0 = 3*d - 12. Solve 3*o = 4*m + y, 5*m - 4 = o - c*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a**2*(a\/a**(1\/9))\/(a*(a**0\/a)\/a) assuming a is positive.\nAnswer: a**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 110 = -2*l. Suppose 20 = 4*z, l*k = 92*k - z - 3255. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 112*k**2 + 49*k. Let v(t) = 14*t**2 + 6*t. Give 6*l(j) - 49*v(j).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.8062 decades to months.\nAnswer: 64656.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17785.\nAnswer: 5, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4073729 divided by 199\nAnswer: -20471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:46 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 270077, 1080260, 2430545, 4320932?\n\"Answer: 270051*c**2 + 30*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -468*v**3 + 1485*v**2 + 713010*v - 6 wrt v?\nAnswer: -2808*v + 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 927 + -927.543. Let y = -0.743 - h. Let m be ((-1)\/(-5))\/((-4)\/(-5)). What is the second biggest value in 17, -4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 174 + -65 + 32 - (11 + -1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -1.6. Let n = m - 2. Let h = -0.2 - 0. Which is the nearest to n? (a) -0.4 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 4. Let i be m(5). Let j be (i*19)\/((-10)\/(-20)). Let x be (-6)\/27 - (j\/9 - -4). Solve x*b + b = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = a - 259, 4*u + 0*a + 527 = -a. Is u less than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/((280\/(-150))\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -13 + p**2 + 1\/3*p**3 + 0*p. Factor s(x).\nAnswer: x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3862?\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2647100 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 12\/126431111 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1 - 0)*(-8)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**2 + 19*p**2 - 47*p**2)*(5*p**2 - 3*p**2 + p**2).\nAnswer: -114*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 less than -1143.657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q + 97. What is b(-9)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 31*i**2 + 19*i + 52. What is m(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 36*v - 257. Let s be c(-6). Let r = 0.3 + -1.3. Let o = -1 - r. Put o, s, 2\/11 in increasing order.\nAnswer: s, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from xmbmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 6*c**2 - 7*c + 5. Let g be i(4). Let j be 3\/g*-1*-9. Is j bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*q**3 - 4*p**3*q**2 - 218*p*q**3 + 3*q**2 wrt q?\nAnswer: -18*p**3 - 1308*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 9948499955732?\nAnswer: 9948499955732.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6624 (base 12) to base 3\nAnswer: 120110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 2364636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*m = 7 + 8, -4*z - 2*m - 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 354\/(-4)*10*-1. Suppose 5*o = -35 + m. Is 3 a factor of 2\/9 - o\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 + m**2 - 659*m - 19963 wrt m.\nAnswer: -12*m**3 + 2*m - 659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 12, -21 = -3*o - 3*j. Find the second derivative of -h**2 + 2*h + 4*h**2 + o*h**2 + 7*h wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 10480*b**4 - 6134933*b**3 - 1046179313*b**2 - 3097268520*b - 2312651700 = 0. What is b?\nAnswer: -1877, -370, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*r - 8. Let y = -25 + r. Solve j = -b - 3, 12 = y*j - 0*j - 4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**2 - 502517*r - 9657957.\nAnswer: 2*r - 502517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o + 4*o + 17*o + 33*o**2 + o**3 - 7*o.\nAnswer: o**3 + 33*o**2 + 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.76 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133618 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 23, -0.03, 9, 19?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - -321205?\nAnswer: 321232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p - 2*p + (12*p - 35*p - 9*p)*(-1 + 1 - 1).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 31*k - 5. Let r be q(-8). Solve b = j - 3, -11*j + 12*j = -b - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*n + 1548 + 15071 = -5197 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5377.8411us in hours?\nAnswer: 0.00000149384475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7\/3)\/(26\/39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/5)*c**(2\/23)*c)\/((c*c*c**(2\/31))\/c*c\/(c\/(c**10*c))) assuming c is positive.\nAnswer: c**(-34857\/3565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-227 - -270) + 7 + -2 + -4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from gyfigiygyyigyyfoi.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + l + 2337 = 0, -5*l + 7107 = 5*u + 1257. Which is bigger: u or 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 32*u - 13*u**3 + 35*u - 7*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 54\/95, 0.9, -0.2 in increasing order.\nAnswer: -0.2, 54\/95, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -1. Let l be 3\/(-6) - (-30)\/44. Put w, l, -2\/13 in decreasing order.\nAnswer: l, w, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v + 21 = -4*u, 0 = 3*u - 3. Let b = v - 19. Let t be 8\/(-2)*4\/b. Is t less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + l = -0*o - 101, -o - 49 = 5*l. Let n = -13 - o. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11160 times 41\nAnswer: -457560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*h + 19*h + 2*h**2 + 61 - h + 17*h in the form o*h + p + m*h**2 and give p.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -2\/7, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-4)\/(-10). Suppose -3*f + 6*f - 150 = s. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149864 * -18\nAnswer: -2697552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 22*a**3 + 0*a**3 - 25*a**3 + a**3 + a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2603*s - 128769 + 350024 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:27 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 30 = 4*x, z = x + 13 - 1. Calculate the remainder when 36 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0086 + -0.0376. Let i = -0.02899912 - l. Round i to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d + 8. Let g be q(1). Let v be (42\/(-24) - -6)\/(g\/32). Suppose w = v + 17. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + -20 + 59 + -44 + -1 + 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30*4*(-84)\/35 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 3*y**2 + 5*y - 2 - 3 - 5*y**2. Let z(g) be the second derivative of g**4\/12 - g**3\/6 + g**2\/2 - 4*g. Calculate -3*h(b) - 15*z(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 + h**4\/8 + h**3\/2 - 4*h**2. Let t be a(-3). Find the second derivative of -f**3 + 4*f - 6*f**3 + t*f**3 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + -1202001112?\nAnswer: -1202010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4903195500 rounded to the nearest one hundred thousand?\nAnswer: -4903200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 1318, 3023, 5410, 8479, 12230?\nAnswer: 16663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 9. Let q(o) = -4*o - 8. Let l = -10065 - -10070. Calculate l*f(x) - 6*q(x).\nAnswer: 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2184919 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 36 - 31)*(0*j**2 - j**3 + 0*j**2)*(0*j + 0*j - j).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + o**2 + (5*o - o - 3*o)*(-4*o + 4*o - 2*o))*(179 - 179 - 50*o).\nAnswer: 150*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3 + 0 + 3\/2*t**2 - 6*t + 1\/4*t**4. Factor s(j).\nAnswer: 3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -177*g + 188*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.017 - 0.813. Let l = 22.8 + t. Which is the smallest value? (a) -1\/10 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1171*r**2 - 5*r + 4. Let j be c(1). Let q = -599 - j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = 5*z, 4*o - 3*z = o. Suppose l + s = -o*l + 3, -5*s - 19 = -2*l. Let n be -1 + -1 - 0\/(-1). Sort l, n, 1.\nAnswer: n, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, 26, -1\/5 in ascending order.\nAnswer: -189, -1\/5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/4 - 7*m**3\/3 + 3*m**2\/2 - 13*m - 282. What are the prime factors of s(12)?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7170 and -0.14301.\nAnswer: -1025.3817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = m - 1, -3*g + 52*m - 42*m = -59 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 156*j**2 + 107*j + 7442. Let c be i(155). Suppose 2\/9*p**3 + 4 - 4*p**c - 2\/9*p = 0. Calculate p.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17798 less than or equal to -17782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.70019657741033 and 0.4.\nAnswer: -0.30019657741033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1038, -4142, -9314, -16554, -25862?\n\"Answer: -1034*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 140988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.2 and 0.021.\nAnswer: -3.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2549956, -2549946, -2549936, -2549926, -2549916, -2549906?\nAnswer: -2549896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) + (-3)\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 1}. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*c - 2 - 1)*(-21 + 12 - 1)*(4 + 0 + 2) to w*c + r and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080548 is divided by 159.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 99?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178.8 - 178.799998859. Round o to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - k + 271 + 2*k.\nAnswer: k + 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/8 + 45*k\/2 - 93\/2.\nAnswer: 3*(k - 2)*(k + 62)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(3 + 4 - 6) + 4 + 1 - 6 + 2 - 4 + 0)*((3 + 0 - 1)*(x + x + 0*x) + 2*x + 2 - 2 + 2 + 2*x - 2 - 7 + 13*x + 7)*(5 - 4 - 3).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 8}. Give prob of picking 1 p and 1 c.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 229, 911, 2325, 4735, 8405?\nAnswer: 13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9741 + -9743.58. What is the fifth biggest value in 2, -1, 5\/4, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 881 and 231.\nAnswer: 203511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 29. Let b be s(7). Which is smaller: 1\/126 or b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/120 - v**5\/30 + v**4\/12 + v**3\/2 + v**2. Let k be l(-2). Let o = k + 1. Which is greater: o or -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/(y*y\/(y\/(y\/(y*y**(1\/3)*y*y)))))\/(y**(10\/7)*y**(12\/7)*y*y) assuming y is positive.\nAnswer: y**(-442\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308 + 558. Is 50 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 483*r + 4329. Determine x(9).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 14591*v**2 + 1 + 14591*v**2.\nAnswer: 4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002207445 rounded to seven decimal places?\nAnswer: 0.0002207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 399904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1, 75 in increasing order.\nAnswer: 2\/15, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -32, 2, -0.1 in decreasing order.\nAnswer: 2, -0.1, -2\/11, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(12\/(-6))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*v + 24 = 149*v + 4*z, 5*z - 37 = 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (53\/(-53))\/(3\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-1 + 1))\/((-298)\/(-4768)). Solve 0 = -4*r - 0*r - 3*w - b, 0 = -4*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693, 1500, 2367, 3324, 4401, 5628, 7035?\nAnswer: 8652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -186717, -186718, -186719?\n\"Answer: -v - 186716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u + 321. Let d be u\/(-5) - 4\/10. Suppose -4*v - 1 = -z + 32, 2*z = -5*v + 27. What is the highest common divisor of z and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 52 = -19*g. List the prime factors of (-764)\/(1\/(2\/g)).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -103*n - 1. Give o(-3).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2217 and -0.3197.\nAnswer: -708.7749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2128.\nAnswer: -1\/2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126474.02 microseconds in weeks?\nAnswer: 0.00000186255625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k. Let z(w) = 452595*w**2. What is h(z(i))?\nAnswer: -2262975*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 n when four letters picked without replacement from {j: 5, f: 8, n: 5}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, 21, 67, 131?\n\"Answer: 9*y**2 + y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -160*g + 162*g. What is the greatest common factor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 286*o + 3260. What are the prime factors of i(9)?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59969476 a multiple of 964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 29*k**3 - 19*k**2 - 200*k - 2. Calculate m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -12, -157, 4, -7, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.95 + -1.45. Which is the closest to 1\/2? (a) r (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, -32, 3 in decreasing order.\nAnswer: 3, -3, -32, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 380, 0, 352, -5, 1 in descending order.\nAnswer: 380, 352, 10, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*k = 5*b + 830*k + 10, 3*k = 2*b - 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250203240 by -80815.\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3147086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/24 - l**3\/6 + 20*l**2. Let m be a(11). Solve 0*r - 2*r + m = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*((-402288)\/(-116))\/(-68)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0965 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000921940554 rounded to six dps?\nAnswer: 0.000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(162) + -1 - sqrt(22)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*6\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/4 - k**3\/2 + 65*k**2\/4 - 75*k\/2 = 0?\nAnswer: -10, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t = 14413 + 151139. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*l + 3 = 0, -2*r - 5*l - 2 + 8 = 0. Suppose r*m - i = -6*i + 30, -m = -3*i - 10. Let f(g) = -27*g + m*g + 2 + 16*g. Calculate f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2737, -2748, -2759, -2770, -2781, -2792?\nAnswer: -2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/9 - 418*s\/9 - 139\/3 = 0. What is s?\nAnswer: -417, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 0*t**2 + 2*t**2)*(3*t**2 - 2*t**2 + 0*t**2) + 52*t**4 + 1866*t**3 - 1866*t**3.\nAnswer: 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502748 to the power of 1\/2, to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 5, 55, 167, 365, 673?\n\"Answer: 4*n**3 - 5*n**2 - n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - -5 - (16 + -15 - 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 9, -0.89, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bdpqqmbbbb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752443269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:19 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -471\/11. Let v = 5 + -5.4. Let a be (4\/(-15))\/((-42)\/63). Sort f, a, v in descending order.\nAnswer: a, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 61 - 7. Suppose -o + 225 = 5*p, 3*p - 2*o = -7*o + 135. Calculate the greatest common divisor of p and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501530 - -3121?\nAnswer: -465406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.041 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h + 0*h**2 - 5*h**2)*(1 + h - 1 + (3*h - h - h)*(-3 - 1 + 2) + 1056*h + 1026*h - 1813*h).\nAnswer: -1608*h**3 + 536*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -672*l**2 + 104*l**2 + 48*l**2 - 42*l**2 - 756*l**2 as x*l**2 + t*l + j and give x.\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.93 + -40.93. Let z = q - -36. Which is the closest to 3? (a) z (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 22*y + 33. Let t be 70\/4*(-9 - -11). What are the prime factors of p(t)?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Suppose f = 3*r - 7*r + 4. List the prime factors of r*((-2)\/(-2) - -34).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6464.737 decades?\nAnswer: 775768.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 2296.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(12\/10 + -1). Calculate the remainder when 0 + 256 + -2*(z - -8) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 347*h + 12214. What is s(-40)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 34. Let k(s) = 13*s**2. What is l(k(d))?\nAnswer: 26*d**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, e: 3, v: 2, w: 4}. Give prob of picking 2 v.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -37 + 53. Calculate the highest common factor of 12 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23775 divided by 6?\nAnswer: -7925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7324 - -47112.7324. Let i = 47157.0046 - v. Let k = -50 + i. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-12) - 92\/112?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16879819.78400194 + -16879820. Let w = y + 0.216. Round w to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634 - 586 = -183*j + 2172. Suppose 0 = -5*c + 7*c - 792. What is the greatest common factor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2\/5, -30107, 6, -1\/4 in increasing order.\nAnswer: -30107, -1\/4, 0, 2\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3306 and 143170?\nAnswer: 236660010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(5*(sqrt(7) - sqrt(28))) + sqrt(128) + (sqrt(128) + 5*(-1 + sqrt(128)))**2 + 5 + -4.\nAnswer: -2361*sqrt(2)\/5 + 4634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 12:28 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/60)\/((-6)\/15)*(-2)\/(-3)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37817043353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/12*(70\/(-105))\/((-32)\/900).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38862?\nAnswer: 2, 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-24)*(13 + -19))\/(6 + (-104)\/8)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5179461 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-77)*1344\/(-240).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11. Let d be f - -2 - (-1 + 0). Solve -u = -4*u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20200481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23dd + a5?\nAnswer: -2338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*l - l + 53, 4*v - 3*l - 75 = 0. Find the common denominator of (33*(-28)\/6468)\/(6\/(-994)) and v\/39*14\/9.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7 - 13. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 68*f**3 + 510*f**2 - 1000*f - 8000.\nAnswer: -2*(f - 40)*(f - 4)*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 18 = -21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 590601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 + 49*c - 6. Give z(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeebeb. What is prob of picking 2 e?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16501775 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/240 and -53\/2600.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, 30, 0, 3 in ascending order.\nAnswer: -4, 0, 1, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2335\/10*(-118)\/(-6). Let h = c + -4615. What is the common denominator of 7\/4 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h. Let c(r) = -2*r**2 - 2*r. Let d(n) = 2*n. Suppose 4*v - 63 = -59. Let k(u) = v*d(u) + c(u). Calculate a(k(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*f - 8, -2*s - 20 = s - 2*f. Let w be ((-4)\/(-10))\/(1\/25). Let z = s + w. Let k(m) = -m**3 + 7*m**2 - 6*m + 7. Give k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101011 + -1?\nAnswer: 1011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**2 - 2*h**2)*(-2*h + 2*h - 2*h) + (-h**2 + h**2 - h**3)*(-66 + 419 + 58).\nAnswer: -413*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 8. Let m be z(0). Suppose 0 = 5*f + 12 + 3. Let i = f + m. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 + (-3 - (-3 - 1)). Calculate the remainder when 431 is divided by 3 + 63\/(m + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -0.53. Let d = 12 - 9. Let f be 1*3*(-2)\/(-3). Which is the nearest to f? (a) 4 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159016765 to the power of 1\/2, to the nearest integer?\nAnswer: 12610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 2. Let f be b(-10). Let m be (-12 - -4)*(-37)\/(-4). Let p = f - m. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8430898 to the nearest integer?\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {w: 3, z: 4, r: 2, t: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095171894 rounded to six dps?\nAnswer: -0.009517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 - 105 - (-14 - (3 - 7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (5 - 2 - 18). Let n = j - 5. What is the third derivative of -4*h**4 - 255*h + 255*h + n*h**2 wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - r + 12 = 0, 3297*y - 3296*y - 4*r + 48 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:39 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:41 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 9. Let t be k(7). Suppose 4*j + 3 = t*j. Let a = 5 - j. Solve -a*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 6*m + (1 - 2 + 3)*(12*m - 7 + 7).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w. Let t(p) = 40*p. Determine g(t(z)).\nAnswer: 600*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*y - 32, -4*y = 75*c - 70*c + 27 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1263*d - 1 = -1262*d. Let q(g) = -18*g**3 - 2*g - 1. Determine q(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.099 - -41.901. Let v = o - 39.1. Let b = 1.1 + v. Sort -2\/3, -0.4, b in increasing order.\nAnswer: -2\/3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*75\/(-90)*39\/65?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/5? (a) 0 (b) 10916 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13096 = 62*h - 2962. Calculate the remainder when h is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-1)\/(-2)*354\/(-472))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. Let r be (5 - 0) + 3 + a. Suppose 0 = -r*u - 18 - 7. What is the third biggest value in -0.2, 3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 269, 270, 271?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -77*k + 1605. Let i(m) = -25*m - 1. Calculate -d(l) + 3*i(l).\nAnswer: 2*l - 1608","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37546 in -3, -1, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-140)\/(-8))\/((-2)\/(-4)). Suppose b - f + 82 = 3*r, r + 4*b = 7. Find the common denominator of -19 and (6\/(-8))\/(r\/(-138)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21716 = -132*z - 471*z + 359*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.2. Let w = 2 + n. Let f = w - 2. Sort f, -2\/7, 3 in descending order.\nAnswer: 3, f, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 8*d + 5. Let r be (-2)\/(-8) + 275\/(-44). Determine q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 30*c + 0 - 10*c**2 + 1\/6*c**4 - 3\/20*c**5 + 0*c**3. What is the first derivative of u(g) wrt g?\nAnswer: -9*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/6793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100002120300 + -10?\nAnswer: 1100002120230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13361333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -3. Let j = g - -9. Determine l, given that 4\/7*l**4 - 4\/7*l**j + 0*l**3 + 0 + 2\/7*l**5 - 2\/7*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + 15\/(-63)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (203\/(-3) + 3)\/((-6)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1082 = -3*o, -3*o + 3*q + 1068 = -0*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 17 = 4*b + 10, b - 2*c = -23. Let u(w) = -w**3 - 12*w**2 - 6*w + 12. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -89, -3 in increasing order.\nAnswer: -89, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8 (b) -14 (c) -1\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0*r**2 - 48*r - 7\/12*r**4 - 1 - 71\/5*r**5 + 1\/6*r**3. What is the third derivative of v(i) wrt i?\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116058 and 45414.\nAnswer: 1044522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*v + 20, 3*z = -4*v + 7 + 3. Solve -4*m = -2*b, 4*m - z = b - 4*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:09 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328 + 7001 = 818*m + 2149 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 19047 = 10*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-7535)\/(-82200)).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, -91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z + 12280. Let n = z + -1171. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a4a4ab + 7?\nAnswer: -1a4a4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, and 2 d when four letters picked without replacement from dnnnnnnnndddnpnnnnnd?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 5 (c) 0.3 (d) -0.54 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2508828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/22*112\/(-98)*(-14)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2371 + 2379. Let w be 2\/(-2) + (2 - 2). Do t and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 3*p - 2. Let s be t(-4). Calculate the remainder when 48 is divided by ((-9)\/s)\/((-6)\/(-68)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d*d**3)**(-3)*(((d*d**4)\/d)\/d*d*d**(5\/7))\/((d**(1\/7)\/d)\/((d*d**9\/d)\/d)) assuming d is positive.\nAnswer: d**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(168))*6*3)\/(sqrt(30)\/(sqrt(10)\/sqrt(2)) - (sqrt(48)*-1)\/sqrt(8)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r - 63. Let j be p(-6). Solve 3*c + j*a = -18, c = -0*c + 5*a + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - 7*z**2\/2 - 6*z + 416. Let l(i) = -i**2 - 6*i - 5. Calculate 7*l(v) - 6*w(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6361 is divided by 3171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 7*t**2 - 5*t - 3. Let w be b(6). Let y be 28 - 21 - (0 - -3). Solve -3 = -y*x + 1, -w*f + x = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a - 8*a - 11*a + 9*a**2 - 3*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*10\/6*2*(-54)\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.46. Let z = -160.5 + 160.6. What is the biggest value in m, 7, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 20. Solve 5*w = -6*j + j - 25, 4*j + z = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -123, 0.173, -2\/15, 0.4 in decreasing order.\nAnswer: 0.4, 0.173, -2\/15, -68, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -73569859.8 to the nearest 10000.\nAnswer: -73570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -21. Let o be (z\/10)\/((-6)\/(-1425)). Calculate the highest common divisor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 4, c: 2, o: 4, z: 2}. Give prob of sequence oczo.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u**2 - 35*u + 551. What is the ten thousands digit of h(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - t**2 + t - 1. Let s be n(1). Let h(f) = -f**2 + 2*f + 6. Let m be h(s). Let k = m - -30. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feeeeeeeeeee. Give prob of picking 1 e and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -9*q - 665. What are the prime factors of q?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 11*v**2 + 14*v - 24. Let b be o(12). Suppose 2*u + 3*u - 4*p - 77 = b, 12 = -4*p. Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619749141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-2)\/100). Suppose 5*z + p - s = 2, p - 3 = -z. Does 14 divide 129\/9 - (-4)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-1)\/(4\/(-4)*(-6)\/(-66))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 2. Suppose 0 = -4*j + 4*h - 44, -3*j + 3*h = 2*h + 27. Let c be q(j). Suppose 4*f - 6 = c. Solve -o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g - 1. Let w be ((-2)\/4)\/((-81)\/162). Calculate t(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - 4*v + 3*v**3 + 2*v**3 + 0*v**3 - 5*v**3 + (0*v**3 - v**3 + 2*v**3)*(2 - 1 - 3).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11484 is divided by 3675.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 12 + -3 + -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {g: 3, q: 1, d: 2, v: 4, u: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2. Let a(g) = -24*g**2. Determine a(j(c)).\nAnswer: -2400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b - 130. Let d be a(13). Factor -3\/2*s + d + 1\/2*s**2.\nAnswer: s*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let c(l) be the first derivative of -3*l**2 + 9*l + 5. Let a be c(-4). Let t = a + -29. Solve 2*v = -3*o - 4 - 3, 0 = -t*v - 4*o - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12413 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44863 = 42525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**28*s**(-3\/8))**(-13\/2))**(-8\/7) assuming s is positive.\nAnswer: s**(2873\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10989*x + 444. Let n(i) = 42*i - 2. Give 5*k(q) + 1110*n(q).\nAnswer: -8325*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwwwwwwwwwd. Give prob of sequence dd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230274, 230279, 230284?\nAnswer: 230289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -5, 3, -2\/11, 0.3, -1, -41684?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - t)*(-1 + 0 + 5).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984727*25.\nAnswer: -24618175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxooxxxxxvxzmxxxm. Give prob of sequence zo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -3\/7, 564 in descending order.\nAnswer: 564, 10, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (12 + -2)) + (-2 - 34) + -9?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 9 + 6)*(2*t + 3*t + t + (0*t - 2*t + 4*t)*(-1 - 2 - 1)) to the form c + w*t and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (1 + 5)\/(-1) + (-1 - -2). Let p(a) be the first derivative of -1\/14*a**4 - 4\/7*a + 1\/7*a**x - 21 + 4\/21*a**3. Let p(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3273*f + 3275*f = 16 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8069\/23 and 351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 169094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 67 = -15*g - 98, -5*a + g = 39 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-10)*5 - 14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1443891 rounded to 2 decimal places?\nAnswer: 17.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 3*t**2 - 5*t. Let n = -21 - -15. Let m be (-12)\/(-36) + 176\/n. Let c = m - -33. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 0.7031638?\nAnswer: -11.9537846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*a = -12, -2*s + 2*a + 12 = -0. Suppose 2*n = s*p + 34, -5*p + 18 = -4*n + 89. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3950*u + 3925*u = -16489775. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 11:49 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2478, 2474, 2466, 2448, 2414, 2358, 2274?\n\"Answer: -q**3 + 4*q**2 - 9*q + 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1769573.3 to the nearest ten thousand.\nAnswer: -1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 2. Let d(s) = 1 - 8*s + 1 + s. Let a be d(-2). Let b(w) = -8*w - 10 + 0*w - 3*w + w. Calculate a*x(p) + 3*b(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 842*r - 1582. Calculate g(2).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:30 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 5. Suppose -y*o = -i - 38, -4*i - 56 = 3*o - 7*o. List the prime factors of 0 - (o - 0)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202112020 + 2000?\nAnswer: 202121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n**(-1\/2)\/n)))\/((n*n\/n**(-11\/4))\/n) assuming n is positive.\nAnswer: n**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 11. Let i be l(-7). Suppose 0 = h - i - 1, 2*x + 4*h - 86 = 0. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w - 2667 - 5957. Let r = w - 389. Solve 0 = r*v - 11 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 309 = -289 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 + -128. What are the prime factors of 11305\/l + 9\/24?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -10675385.\nAnswer: -1\/2135077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(11\/2))**(-1\/15) assuming a is positive.\nAnswer: a**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 60, 135, 240, 375, 540?\n\"Answer: 15*r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i - i - 8*i - 7*i in the form n*i + k and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 7*d**2 + d - 5. Let g be v(7). Suppose 3 = g*c - 3. Solve c*r - 1 = -13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.215 and -2.094.\nAnswer: 0.45021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-588))\/(6\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 1. Let h be z(-2). Suppose 4*m = 3*m + h. Suppose -2*i = 3*i - 20. Calculate the remainder when i is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 5*j - 7. Give k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4353667\/49 or -88850?\nAnswer: -4353667\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25251644 - 1?\nAnswer: -25251645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 729*c**5\/5 + c**4\/2 - c**2\/2 - 1047*c - 334. Find the second derivative of h(b) wrt b.\nAnswer: 8748*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*f - 149 = 0, 6*k - 97 = 3*k - 5*f. Suppose b - k = -y - 5, -b = 4. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064 (base 10) to base 16.\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16) - (sqrt(2304)*-2 + sqrt(2304) + sqrt(2304)))\/(sqrt(968)*-2).\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 45*j**2 + 119*j + 113. Calculate b(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5065.\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 6756\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -511 + 510.9. Let l be -1*2*3\/2. Let w = -6 - -1. Which is the closest to f? (a) 0.5 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -10, 3, -1, 2 in decreasing order.\nAnswer: 3, 2, -1, -2, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s - 451*s - 1304*s.\nAnswer: -1717*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -13745, 3, 1, -5, -2, -4 in decreasing order.\nAnswer: 3, 1, -2, -4, -5, -13745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1680 + 1690. Suppose -u + 6 = -5*s, 3*s + 1 = -5*u + 31. Let q = w - u. Solve 3*m - q*m - 3 = 5*j, m - 7 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 33. Let k(t) = 2*t**3 + 114 + t - 47*t**2 + 18*t**2 + 92 + 28*t**2. Is 18 a factor of k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 + 3*p**3 - 14. What is the third derivative of r(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 0)*9\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69875 and 50691625.\nAnswer: 5375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 - 7*t + 9. Determine o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:46 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153480533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -72, -68, -44, 6?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1483 = n, -4*n - 2*x + 4441 = -n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.968823 to 0 dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17388 - 24*s + 70*s + 17388 - 47*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from dhhhddhhdh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let n = 0.142 + 10.058. Let l = -11.2 + n. Sort v, -0.3, l, -3.\nAnswer: -3, l, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 76 = -2*x + y, 0 = -3*x + y + 357. What is the remainder when x is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21*z. Suppose -3*c + 34 = -4*o, 11*o + 42 = 5*c + 8*o. Let v(p) = 20*p. Give c*v(w) - 5*k(w).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*x - 3*x = 24, -6 = h + 3*x. Let v be (-9*4\/(-30))\/(h\/15). Solve -13 = v*j - 2*c, 0 = 3*j + c + 4*c + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 3 (c) -78 (d) 1\/5 (e) -100613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2132 - -1108. Round a to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -40. Suppose o + 2*d - 1176984 = -6546980, y = 3*d. What is o rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 19.9, 1\/344, -0.1, -2\/7?\nAnswer: 19.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*y + 657 = 76*y + 48 + 5760 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 75*k + 6674 = -130*k + 87*k for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 - 47161 + 47161 - y + y.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2462136 and -29\/203448?\nAnswer: 120644664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 75*k**3 + 12*k - 13*k.\nAnswer: -75*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*k + 5 + 3, -16 = -k - 3*v. Suppose -4*y - 12 = -k*l, 0 = -4*l - 0*l - 3*y + 26. Suppose b + l = 40. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13840697423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6610189 is divided by 6610171.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let k(x) = x**3 - 3*x**2 + x + 2. Let h be k(2). Let z be q(h). Let a(d) = 3*d**2 - d. Let j be a(z). Round j to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*v = 8, -2*v - 4 = -2*k - 6*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2 + -5 - (1 + 2*sqrt(931)))**2 + 4*(1 + sqrt(684)*1)**2.\nAnswer: 48*sqrt(19) + 2776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/5)\/(0 + (-1)\/3). Suppose -6*s + 24 = -10*s. Let t = 6 + s. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y = -91*y - 4*p - 12, 2*y + 4*p - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r - 60 = -105*r + 182*r. Let t = -0.91 - 0.09. Let u be ((-4)\/(-12))\/((-7)\/3). Which is the second biggest value? (a) r (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-1)\/6). Let d = 246.8 + -246.8. What is the closest to d in -3\/17, w, 0.2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-10)*(-20)\/(-6). Let f(i) = i - 1. Let k be f(t). Sort -3, k, 2 in descending order.\nAnswer: k, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/13)\/t*t)\/t)\/t)**(11\/8))**(1\/6) assuming t is positive.\nAnswer: t**(-77\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 489396*g**2 - 165*g + 280 wrt g.\nAnswer: 12*g**2 - 978792","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2031*w**2 + 3413*w**2 - 1471*w + 6*w**3 - 1764*w**2 + w**3 + 419*w = 0.\nAnswer: -526, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 less than 448?\nAnswer: 448.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988 greater than 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -77 + 51 + 81.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1\/25, -0.064, -1\/4, -2\/3, -4?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/10)\/x)\/(x*x\/(x\/(x**(-2\/5)*x))))**5\/(x**(3\/7)\/((x**(-2\/9)*x)\/x))**(-8) assuming x is positive.\nAnswer: x**(-1045\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5584 is divided by 929.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*s + 2052, 0 = -3*c - 2*s + 473 + 757. Calculate the greatest common factor of 51 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u, 3*w + 2*u - 18 - 2 = 0. Is 3 a factor of (-3)\/(-4) + 101\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 58190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-7686)*-61*6\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:52 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**1)\/o*o)**(-1\/2)*((o\/(o\/(o*o**(-9)*o)*o))\/o)\/o**4)**(-1\/31) assuming o is positive.\nAnswer: o**(13\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54044 = 1291*y - 10350 + 11819 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21143 is divided by 707?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 1, r: 1}. Give prob of sequence ar.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -65, 0.01, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -48409985*i**3 + 41635435*i**2 - 571920*i + 1980 = 0.\nAnswer: 6\/863, 11\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 592\/(-90) + -2 + (-24)\/(-3). Which is bigger: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4\/5 + 16*y**3 - 436*y**2\/5 + 72*y = 0. What is y?\nAnswer: 0, 1, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*z + 190*z + 20. Suppose -5*y + 7*y - 12 = -4*n, -20 = -z*y - 4*n. Solve -4*a + y = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 11*p**2 + 17*p - 23. Let f be o(11). Suppose -v = -5*v + f. Find the third derivative of 41*h**2 + 28*h**2 + 25*h**4 - v*h**2 wrt h.\nAnswer: 600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 3*(sqrt(320) - (-2 + 3*sqrt(320)))*2 + -5)**2.\nAnswer: -1920*sqrt(5) + 46180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2271.08 - 2271. Suppose 7*z + 8 + 6 = 0. Which is the nearest to z? (a) j (b) -0.2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:18 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -2\/3225 (c) 2 (d) -2 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 2)*4\/(-12). Suppose -y = x*y. Suppose 5*m + p - 23 = 0, 0 = 4*m - 3*p - 12 - 14. Solve m*g + 5 = y, a = 5*a - 4*g + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/10*7\/14 - (-1155)\/75. Which is the nearest to h? (a) -2 (b) 2\/5 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-30)*(-7 + 39)*((-55)\/10 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 120*q**2 + 365*q + 29240. Determine x(-119).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1780, 1790, 1798, 1804, 1808, 1810, 1810?\n\"Answer: -l**2 + 13*l + 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnn when four letters picked without replacement from {n: 7, c: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 7 - 8*g - 5*g - g. Suppose 2*n = 2*k - 2 + 28, -2*k = -n + 18. What is the remainder when a(15) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -266*y - 11385. Determine s(-42).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p - 8. Let m(u) = -11*u + 9. Calculate -4*l(z) - 3*m(z).\nAnswer: -7*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 66030 = 1452663\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 237*f - 3569. Give y(219).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857864 is divided by 324.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m**3 + 7*m**4 + 32*m**2 - 41\/2*m + 5 - 1\/2*m**5 = 0. Calculate m.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -640377?\nAnswer: 640390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1 + 3*q - 6*q + 4. Let a be j(3). Let v = 10 + a. Let m(c) = 5*c**2 + 4. Let k(n) = -14*n**2 - 11. Calculate v*k(s) + 11*m(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10\/9, -2\/41987 in descending order.\nAnswer: 2, -2\/41987, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-15))**12)**(-14\/9) assuming f is positive.\nAnswer: f**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49731 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 58*n - 53. Let j be d(9). Let q = j - 259. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/6*12*(-4)\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*u + 8, -2*u + 9 = -4*y + 1. Let w = 11 + -16. Let v = -14927 - -14929. Which is the nearest to w? (a) 0.5 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13 and 91\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 81. Let k = y - -30. Put -6, -3, k in descending order.\nAnswer: k, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -860, -12, 148 in ascending order.\nAnswer: -860, -12, 0, 4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*f**2 - 4*f - 2*f**3 - 2 + 2 - 145*f**2.\nAnswer: -2*f**3 - 8*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12884 divided by -12884.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 33171788*b + 33171784.\nAnswer: 4*(b + 1)*(b + 8292946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y - 1. Let s be t(-2). Let d = -9 + s. Suppose -d*z + 17 = -3*j, 4*j - 1 + 5 = 0. What is the highest common divisor of 77 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:52 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**20)**45 assuming x is positive.\nAnswer: x**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 2*z**3 + 11*z**3 + 18*z - 18*z + (-2*z**2 + 3*z**3 + 2*z**2)*(1 + 7 - 6).\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -197, -807, -1823, -3239, -5049, -7247, -9827, -12783?\n\"Answer: b**3 - 209*b**2 + 10*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2845)\/(-100144)*120\/(-25)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -6*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4*82\/4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 4\/79747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4848225 is divided by 1089?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31392253 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1, 0*b - 4*k - 5860 = -2*b. Let n = 5033 - b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t + 3. Let h = -94 + 115. Suppose 0 = 7*l + 49 - h. Calculate a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/2 + 96111*m\/2 = 0.\nAnswer: -96111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*r + 20 = 0, -16 = 3*f + 5*r - 4. What is the third smallest value in 0.2, -0.7, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324210 and 21.\nAnswer: 2269470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2)\/((-1)\/7). Let l(q) = -15*q - 3 + 0 + 14*q. Let w be l(-8). Solve 4*t = 5*j - g + 15, -3*j - w*t + 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose y - j*y = -30. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*s = -0*s + 24, 3*h + 5*s = -37 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(53*v**3 - 63*v**3 + 10*v**5 - 7*v**5).\nAnswer: -6*v**5 + 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/98)\/(15 - (-7370)\/(-490))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.6 + 41. Let h = 0.02 + 1.98. What is the biggest value in 4, h, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m**3\/4 - 465*m**2\/2 + 408*m - 168 = 0.\nAnswer: -14, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 398457178 and -0.1.\nAnswer: -39845717.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42133410 (base 5) to base 15\nAnswer: 6d720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let z(g) = -g**4 - 6*g**3 - 13*g**2 - 11*g - 5. Let l(d) = -3*j(d) - 3*z(d). Solve l(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -2*l + 2*d, 23*d - 21*d = 8. Let n = 118 + l. What is the least common multiple of 35 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.31 + -10.34. Let o = -0.03 - c. What is the second biggest value in o, -2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4538\/6807)\/((-2)\/147).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -37 (b) 2068 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j - 4. Is ((-6)\/(-4))\/(j\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 45. Let s be m(0). Let u be 3*(-355)\/s*3. Suppose p - 5*z = 55, -z = p - 2*p + u. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from nnhiihnhhnnhnn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104473228803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:00 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 5*p + 4*m, 4*p + 34 = 2*m - 20. Sort 0, 3, 2, 5, p in decreasing order.\nAnswer: 5, 3, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(((-23265)\/2700)\/(-517))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 + -264. Let d(o) be the second derivative of 1\/12*o**4 + p*o + 1\/2*o**2 + 0*o**3 + 0. Calculate d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 34 - 15 - 16.\nAnswer: -5*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-2 + 0 - 2)*(-934*n + 1535 - 1535)*(-1 + 2 - 2).\nAnswer: 3736*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25827 is divided by 5147?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1756\/99 + 158\/9. Put 4, -1\/29, q in decreasing order.\nAnswer: 4, -1\/29, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2611 - 19?\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.25700567 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 5)*(1 - 1 + 2*s) - 1 - 2*s + 1 + 7 + 0 + 3*s - 2)*(-5*s**3 - 6*s**3 - s**3).\nAnswer: 12*s**4 - 60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*f**3*h**3 - 4*f**2*h**2 - 78*f*h**3 wrt f?\nAnswer: -738*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - j + 3. What is q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 731473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -18. Solve -l*z - 20 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -31*s**3 + 5*s**2 + 1. Let x(m) = 15*m**3 - 2*m**2. Let k = -43 - -38. Give k*x(u) - 2*w(u).\nAnswer: -13*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 15. Let t(s) = -2*s + 204. Determine z(t(j)).\nAnswer: -2*j + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a + 2. Let w(z) = -136*z**3 - 3*z**2 + 3*z - 189. Let t(h) = 6*d(h) + 2*w(h). What is the derivative of t(q) wrt q?\nAnswer: -816*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*a + 1 + (-2 - 3 + 3)*(2*a + a - 5*a) + 5 - 2*a - 5 - a + a - a - 2 + 2 + a + (0 + 1 + 0)*(3 + a - 3) as i + y*a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 - -1*(6 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74\/5 of a micrometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 5 + 2*q**2 + q.\nAnswer: 2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 6859692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 74 = -g - 66, -g - 6*p = -5*p - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5459, 142, 5.\nAnswer: -5459, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -650250 by -6.\nAnswer: 108375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 + 172. Suppose 3*x + 5 - 8 = 0. Solve c*l - l = -x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 866.8274ng?\nAnswer: 0.0000008668274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 0.1 (b) 0.4 (c) 1\/8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294025?\nAnswer: 5, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**4 - u**3 - 169635*u**2 + 2*u + 2762883 with respect to u.\nAnswer: 8*u**3 - 3*u**2 - 339270*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 168*p**3 - 269*p - 289*p + 5*p**3 + 559*p to m*p**3 + a + x*p**2 + w*p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1174.294 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-952))\/((-3)\/(-4)*744\/3906).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34443675)\/810 - (-12)\/(-27))\/((-3)\/46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 - 6*i**2 + 9*i - 21. Let v(q) = q**3 + q**2 - 2*q + 5. Let f(t) = 2*k(t) + 9*v(t). Determine f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1051 and 7212204?\nAnswer: 7213255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000011110010100101 (base 2) to base 12.\nAnswer: 1a22919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 15\/(-6))*8. Suppose -4*y + 25 - 5 = -r*t, t = 2*y - 5. Let p(n) = n**2 + 2*n + 2. Let f be p(-4). Solve 5*i + f = y, 4*i - 1 = 5*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 48*q + 1352. Let b(y) = -3670*y**2. Calculate m(b(i)).\nAnswer: -176160*i**2 + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6166 and 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyy when four letters picked without replacement from yoooyyyy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 2)*(3*y + 0*y - y)*(3 - 3 + 2).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t + 83*t - 20 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 207 - 27468*n - 68 - 65.\nAnswer: -27468*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3224, -6379, -9534, -12689?\nAnswer: -15844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 367 = 175 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 38054993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74, 283, 778, 1703, 3202?\n\"Answer: 24*h**3 - h**2 + 44*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 8) to base 5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 2*q. Suppose y - 168 = -y. Suppose -y = 4*c - 6*c. Calculate the greatest common divisor of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17965.84875 from -25446.\nAnswer: -7480.15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8315216 and -0.2.\nAnswer: 1663043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 6\/36*94. Is 13 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216443.7cm in micrometers?\nAnswer: 2164437000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r**2 + 26*r - 26*r.\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 8. Let j(f) = -17*f - 31. Let p(w) = -31*w - 63. Let b(o) = -11*j(o) + 6*p(o). Let r be b(33). Give v(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnn when three letters picked without replacement from {n: 10, v: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b9 - -2?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6466 + -5902. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3872 - -2439. Let p = x + 1432.9399. Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-5 - (-18 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (416\/110 - 4)*20\/(-8). Which is the closest to 2\/5? (a) 2\/3 (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 10*h = 4140. Suppose 143*w - h*w = 10. Solve 2 = 2*b - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129d (base 16) to base 5.\nAnswer: -123030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 495 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*o - 7596, -x - 8*o = -3*o - 1895. Let m = x + 250. What is m rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(-25 - 32 + 35).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/126 and 13\/(-39) + (-110)\/(-288).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyypayayyp. What is prob of sequence yp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) - 693\/(-6). Let l = 205 - j. Suppose l = 2*q - 5. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 2, d: 1}. What is prob of sequence bd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 413.5143 milligrams?\nAnswer: 413514300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-9)\/(-8)) + (59179\/69)\/31. Suppose 1 = -3*x + 5*w + 9, -20 = -5*x + 5*w. Solve -x*g + i = 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4, 133, 1\/4, -8, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 590 or 634?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, h: 2, f: 1}. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*p - 3*k - 8, 0 = -3*p - 3*k + 24. Let w = 26 + -3. Solve -3*y + w = 2*v, p*v = 2*y + 2*y - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91129.98 and -9?\nAnswer: 91120.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30272340 + -5?\nAnswer: 30272333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207370 and 414740.\nAnswer: 414740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/40 + h**5\/5 - h**4\/8 - 2*h**3 + 2*h**2 + 14. Factor q(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 2, u: 2, d: 1, y: 1}. Give prob of picking 1 d, 1 y, and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24592.3 + -24592. Which is the nearest to -2? (a) 1\/3 (b) -2 (c) -1146 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-22) - (-30 + -2 + 20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 - -367. Let n = c + -168.877. Let l = n - 6.023. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71\/165 + 1\/33. Which is smaller: -57 or w?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2060 divided by -972?\nAnswer: 515\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/(-12)*126\/560)\/((-2499)\/(-2975))?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**2 - 347*m + 69. What is the remainder when v(-57) is divided by 84?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566*d**6*s - 951*d**5 + 10*d**2*s + 293*d**2 + 214*d*s + 2*s wrt d?\nAnswer: 67920*d**3*s - 57060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4191 - -4204. Solve -3*l = u + 14, -5*u = -10*l + a*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3 - 325*p**2 + 28*p - 229835 wrt p?\nAnswer: -3*p**2 - 650*p + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -890a501 (base 11) to base 3\nAnswer: -1002102101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 8. Let a(l) = l + 7. Let t(i) = -4*a(i) + 3*c(i). Let o(r) = -63*r - 35. What is -4*o(f) + 35*t(f)?\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 3*d. Let o(z) = -z**2 - 5*z. Let a(c) = -c**3 - 2*c - 4. Let m be a(-2). Give m*i(w) + 5*o(w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 1, a: 2, n: 1}. What is prob of sequence aca?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u + 6*u + 114 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61387, -61355, -61301, -61225, -61127?\n\"Answer: 11*q**2 - q - 61397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(675\/(-20))*-3)\/((-8)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 28900*w**5 + 660960*w**4 - 1688744*w**3 - 62526816*w**2 + 258630724*w = 0?\nAnswer: -17, 0, 473\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*150\/45?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7640, 9632, 11636, 13658, 15704?\n\"Answer: w**3 + 1985*w + 5654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3)))\/(l**(-2\/27)\/l*l*l*l)*(l*l**0*l)**(-28\/3) assuming l is positive.\nAnswer: l**(-637\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -528.95 + 529. Let g be (4\/10)\/(11\/5). Sort t, g, 4 in descending order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1166*c - 79293. Determine f(-68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + -2*sqrt(68)*-1)\/(2*sqrt(256)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2)*19\/(152\/385144). Round b to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/28 + (-4)\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206434322 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303 and 15823569?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:49 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27326 - -27326.0110602. Round p to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.556ml to litres.\nAnswer: 0.063556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*m + 9, -26*m - 29 = 5*u - 25*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let s be 13\/v + 4\/6. Let d be (3 - s)*(-411)\/6. Round d to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216479 and 1136?\nAnswer: 3463664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047888583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-42525206\nAnswer: -42525206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 2 - -3 - 9\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 4 = 0. Let o(i) = -i**3 - i**2 + 7*i. Let c be o(-3). Let q(z) = z + 5. Let g be q(c). Solve -n*v + p = -0*p - 19, -g = -2*v - 2*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.01, 2.\nAnswer: 0.01, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5328.5 - -5329. What is the fourth smallest value in 113, 7, n, -1\/2?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + l = -88*x + 87*x + 10, -4*x + 3*l - 121 + 128 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)*l**(1\/6))**24*(l*(l\/l**(3\/5))\/l*l**(2\/9))\/((l\/l**(5\/2)*l*l)\/(l*l**1\/l*l*l*l*l)) assuming l is positive.\nAnswer: l**(3701\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*d + 26 + 62*d - 36*d.\nAnswer: -8*d + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21221, 21235, 21249, 21263, 21277?\n\"Answer: 14*y + 21207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24319 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15895 (b) 255 (c) -0.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200001113301 (base 4) to base 5.\nAnswer: 4122103400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(69\/207).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1 (b) -2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 8. Let c be h(-3). What is the common denominator of 1\/178 and ((-23)\/2)\/1 - (9 - c)?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279 is divided by 209?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/h**(-8)*h)\/h*h\/(h*h\/(h\/(h*h**(1\/29)*h))))\/(h**(-3\/10)*h\/(h**(-18)*h)) assuming h is positive.\nAnswer: h**(-2243\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188413.\nAnswer: 3, 67, 83, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4609, 9198, 13783, 18364?\n\"Answer: -2*d**2 + 4595*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38655366 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*g + 69 - 75 = 0, 0 = 2*c - 5*g - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/2125 + -65833\/29750. Let g = -4449 - -80111\/18. What is the common denominator of y and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -6, 2, -11, 343 in ascending order.\nAnswer: -11, -6, -2, 1, 2, 4, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1186\/1186*(-3)\/(-45)*1*-3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27900 + -1?\nAnswer: -27901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = -187 + 85 + 75 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 1691?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 + -9 + (-2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1658709816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -4*h - 5*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.043 + 0.043. Let r(g) = g**2 - 3*g - 5. Let w be r(4). What is the closest to w in 2\/9, m, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1d23c?\nAnswer: 1d243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 9*z**2 + 239*z - 9. Let m(h) = -h**3 + 4*h**2 + 119*h - 4. What is -9*m(l) + 4*n(l)?\nAnswer: l**3 - 115*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 2*m)*(2*m**2 + m**2 - 2*m**2 - 4*m**2 + 4*m - 4*m + (2*m - 2*m - 2*m)*(m + 0*m + 0*m) + 0*m**2 + 0*m**2 - 4*m**2).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let a(r) = -r + 6. Let f(y) = a(y) + 4*d(y). Let z be -1*1*6\/(-3). Let c(m) = -m. Let n(k) = z*c(k) + f(k). What is n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**3*v**2 + 8015*k**3*y**2 - 4*k**2*v**2*y**2 + 36*k**2*v*y**2 + 2*k**2*v*y - k*v**2*y + 2*v**2*y**2 - 13*y wrt k?\nAnswer: -108*v**2 + 48090*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)*u**(-3)*u**(-1\/4)*u*(u*(u\/((u*u**6)\/u))\/u)\/u assuming u is positive.\nAnswer: u**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + (-3)\/(-6). Let z(t) be the second derivative of 2*t - h*t**2 + 0 + 0*t**3 + 0*t**4 - 1\/20*t**5. Differentiate z(y) with respect to y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x + 0*x + 3*x**2. Let s(i) = 8*i**2. Determine s(n(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*k**3 - 114600795009*k**2 + 114600795009*k**2 - 470*k**3.\nAnswer: -614*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 655770489*r - 554452497 wrt r?\nAnswer: 655770489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(10)\/sqrt(5))))**2 - sqrt(200)*-2.\nAnswer: 20*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/5 + 4119*z\/5 - 8242\/5 = 0.\nAnswer: -4121, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 - -75. Let m = -26 - s. Let j(p) = -4*p - 6. Let i(l) = 21*l + 30. What is m*j(q) + 2*i(q)?\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 3*u + 2*u + (2*u - 1 + 1)*(-10 - 61 - 11) + 5*u - u - 2*u to the form b + h*u and give h.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 22. Let j be q(-9). Suppose -4*r + 4 = -2*r + 4*l, j*r + 2*l = 10. What is the least common multiple of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -30. Suppose -t = 2*t - l. Suppose -p - 2*p + t = 0. Solve 4 = -p*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789 - 761. Suppose 32*z - o*z = -2*g + 254, 421 = 3*g - 2*z. Calculate the remainder when g is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 9, 3*n = -4*p + 29. Suppose 4*i - 75 = -p*z, -3*z = -5*z + i + 17. Suppose z = 4*j + 3. Solve -l + j = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*i + 48. Suppose -15*m = -i*m - 50625. Let a be 1024*(m\/(-6))\/(-1). What is a rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 7. Let u be z(-7). Let l(y) = 2*y**3 - 2*y**2 + 5*y - 3. Let m = 66 + -65. Let k be l(m). Solve -2*h = 3*s - k, 0 = -4*h - u*s + 2*s + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 13560.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:37 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -312\/2042699?\nAnswer: -312\/2042699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20210222 + 1020000?\nAnswer: -12120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 5*g**2 + 6*g - 5. What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 5488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7120 or -18?\nAnswer: -7120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -324502 + -4662?\nAnswer: -332464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2551, -2547, -2543?\nAnswer: -2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 18*q**2 - 14*q - 50. Calculate w(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) + (-2 + sqrt(2))*1 - sqrt(50)*1) + ((sqrt(2) + (-1 + sqrt(2))*4)*-3)**2.\nAnswer: -363*sqrt(2) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, -86, -1.2, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 48. Suppose -5*p = -5*m - 10, 0*p - 5*m = 3*p - 6. Solve p + k = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/6 or -225385?\nAnswer: -225385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 417\/20 + -103\/5. What is the second smallest value in -2\/7, x, 8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*s - 1480, -5*s + 2*i + 1505 = 4*i. Let l = s - 200. Which is the second smallest value? (a) 1 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1154650 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, b: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -182313322355 - 1\nAnswer: -182313322356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24529487 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z**2 + 31*z**2 - 19*z**2 - 1 - 2*z. What are the prime factors of w(2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*((t\/t**(-3\/2))\/t)\/t)**(2\/65) assuming t is positive.\nAnswer: t**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 34. Let x = 11 + f. Let z = 1 - 1.1. Which is greater: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmo. Give prob of sequence mo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 2 = 23*f. Suppose -4*s + 6 = 2*n - f, 4*s = 2*n. Suppose -3*b + 0*k = -2*k + 3, -k = 3. Put n, b, -5 in ascending order.\nAnswer: -5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 564, 1149, 1756, 2385, 3036, 3709?\n\"Answer: 11*g**2 + 552*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**3 - 4*t**2 + 8*t - 12. Let l = -101 + 96. Is o(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04329, 3, 1\/2?\nAnswer: -0.04329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s**3 - 95*s + 95*s - 2*s**2 + (s + 4*s - 6*s)*(0*s**2 + 0*s**2 - s**2) + s + s**3 - s.\nAnswer: -7*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = r, -4*r - z + 16 = -6*z. Suppose r*h - 1 = 3*h. Let n = h + -5. Put 5, -5, n in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 5. Let x be o(-6). Suppose 0 = 4*a - a + 12, -5*a - 21 = -u. What is the highest common divisor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316 - -293. What is the closest to -0.5 in 0.5, b, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/2*-30*1\/312.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8222?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.257 - 0.343. Let n = -0.2 + 0.3. Which is the closest to n? (a) h (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 + 7*s - 7. Let m be r(5). Suppose 0 = -4*w + m + 5. Let d = 2 - 2. Solve 3*i = -l + 14, -2*i + w*l + 4 = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7 and 49\/59963?\nAnswer: 419741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 54.3. Let f be 9\/(-1) + 6 - (-1)\/3. Which is the third biggest value? (a) 3 (b) f (c) t (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226\/5 - 45. Let z be ((-3 - -2) + (-68)\/(-34))*(-1)\/5. Which is the nearest to z? (a) 7 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 35*k**2 + 30*k - 585. What is the tens digit of h(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-400)*15\/(-6)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4133, 4, 1817 in decreasing order.\nAnswer: 4133, 1817, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - 9. Let p = 2.39 - 25.89. Let z = p - t. Which is smaller: z or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Solve 0*i - 1 = z*i - u, 3*i + 19 = -2*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128235378.\nAnswer: 2, 67, 89, 94603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-585)\/(-156))\/((54\/(-48))\/(-3)) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2093\/3 - 698. What is the biggest value in 6\/11, m, 0.026?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from {k: 5, w: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 12:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 242334 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: Calculate -6 + 4 + (-9 + -9 + 8 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70810 is divided by 419.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 3. Let h = -16 - -22. Let s(w) = w**2 + h + w + r*w - 14*w. What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365333 (base 13) in base 14?\nAnswer: -b558b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3)*399\/14. Suppose 8*l - 4*l - k = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-15)*(-5)\/2)\/(-1)*(-674)\/(-7077).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994*j - 52 = -1007*j. Let i(w) = -3 - w + 4 + 0. Let n(q) = -5*q - 2. Let m(h) = -i(h) + n(h). Let u(z) = 5*z + 4. Calculate j*m(s) + 3*u(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*t = 75, 2*t + 2*t = 3*i - 70. Suppose -4*g + i = g. Is 11 a factor of (-888)\/(-9) + (-4)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 4) to base 6.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75971 is divided by 86?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*p + 0*p + 4 = 6*j, -5*p - 38 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {w: 3, g: 2, m: 6, e: 1, q: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/((a**(-4)*a)\/a)*(a**(2\/3))**22)**(15\/2))**18 assuming a is positive.\nAnswer: a**2610","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -162, -242?\n\"Answer: -80*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5 (c) 265\/2 (d) -43 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmji when four letters picked without replacement from imiimjjijjmi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24551 (base 7) to base 2\nAnswer: 1100100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**6\/180 + d**5\/30 - 13*d**4\/72 - 7*d**3\/9 + 5*d**2 - 1476*d. Suppose h(v) = 0. What is v?\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 23\/1149 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmaaaaaamaaaaaaaaaa. What is prob of sequence maaa?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.869653km to centimeters.\nAnswer: 386965.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a86c4 - 345?\nAnswer: 5a837c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 2\/25 (c) 204 (d) 0.32 (e) -0.4 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (93\/124)\/((2\/29255)\/(8\/5)) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:57 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3214*q + 584951. Give u(182).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/q)\/(q*q**(3\/8))*(q**(-4\/7))**(-42) assuming q is positive.\nAnswer: q**(181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*r - 595 + 643, -3*a = 4*r + r - 44 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let t be (s\/3)\/(2\/3). Let m be 0 + (-36)\/(-20) - 2. Is t smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 600373006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 + 21 = 5*g, -3*i = -2*g + 4. Let p(j) = 48*j**2 + j. Let u be p(1). Suppose -63 = -g*s + u. What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793124605.\nAnswer: 3, 5, 59, 3156073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(405)*1 + 1 + sqrt(180) + -2 + (sqrt(80) + 6*sqrt(80)*2 - (sqrt(80) + -4 + sqrt(80)*2))**2).\nAnswer: -24045 - 1005*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3211 or 1?\nAnswer: -3211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -389543, -779027, -1168511, -1557995, -1947479?\n\"Answer: -389484*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*m = -269790 + 68678. Solve -5*j - 1123 + m = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*f + 21, 3*f - 4*k = -1 - 13. Solve -4 = b - f*y, -3*b - 2*b - 11 = -y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:52 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2084326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -68884, -3 in ascending order.\nAnswer: -68884, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 24\/7, -2, 5, 2, 3\/4 in increasing order.\nAnswer: -2, 2\/15, 3\/4, 2, 24\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45685344\/19 - -2405026. Which is greater: o or 535?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 4*w + 16 = 5*a, -a - 4*w = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/7)\/(22\/(-5)*(3570\/294)\/(-17))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029567 minus 10.8?\nAnswer: -10.770433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 186*o + 5921. Give u(27).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 3*c + 9, 2*h - 3*c = 0. What is the common denominator of 2\/h + 3 + (-57)\/(-36) and 9\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7 = 5*q, -q + 5 = 2*a + 1. Calculate the remainder when ((-55)\/(-10))\/(q\/4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyf when four letters picked without replacement from yffyfy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let b(t) be the first derivative of -3*t**2\/2 + 6*t + 163. Calculate -b(r) - j(r).\nAnswer: 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 113*q + 2941. Let l be y(-26). Solve 0 - 44\/5*f**2 - 36\/5*f**l - 8\/5*f = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 + 37*n - 21. Let w(l) = -7*l**2 + 37*l - 25. Determine -7*o(s) + 6*w(s).\nAnswer: -7*s**2 - 37*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -807141537*v**3 - 1842706*v**2 + 68 wrt v.\nAnswer: -4842849222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-552))\/(54\/18792).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52)\/(-6))\/((-20)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 12\/5, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/12*1*10. Let d = -103\/15 + i. What is the nearest to 1 in -3\/2, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -101*t**3 + 8*t - 301. Let y(m) = -67*m**3 + 5*m - 201. Let l be -13 - (4\/(-6))\/((-4)\/(-30)). Let k(w) = l*y(w) + 5*z(w). Differentiate k(f) wrt f.\nAnswer: 93*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (44\/(-20) - -3)\/2. Let b = 0.96 - -0.04. Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/2 + 17605*g**2\/2 - 123161*g + 422184 = 0 for g.\nAnswer: 6, 8, 17591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559 divided by 10695?\nAnswer: 853\/3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/53 (b) -0.034 (c) 3\/2 (d) 4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + (-14 + (10 - 13 - 0) - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20593062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - 2*sqrt(80)) - sqrt(80))*-4 + 3*sqrt(45)\/(-2*sqrt(9)))**2.\nAnswer: 6125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - -4. Let v = -31 - -21. Let m be 38\/v - (-1)\/(-5). What is the biggest value in i, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 162, 669, 1510, 2679, 4170, 5977, 8094?\n\"Answer: -w**3 + 173*w**2 - 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*q**3 - 2 - 10 - 2 - 3*q**2 + q**2 in the form h*q + j + z*q**3 + u*q**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 116*j + 234. Let h be o(60). Let s(u) = -7*u - 7. Let b(w) = 16*w + 1 + 0 - 15*w. Determine h*b(v) - s(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 18 = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 7. Let k(w) = -w**2 + 5*w - 4. Suppose 0 = -5*r + v + 21, 3*v = -3*r - 0 + 9. Let y be k(r). What are the prime factors of x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7538917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -43. Let m(g) = g**2 + 7*g + 9. Let w be m(c). Suppose 7*a - 8*a + w = 0. Solve a*u = 6*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 13) to base 6\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86137 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/273*21\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -119570*52\nAnswer: -6217640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 + 274. Solve -f = -5*o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21539991 to the nearest integer?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/120 - k**5\/15 + k**4\/24 - k**3\/3 - 17*k**2. Determine a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 1019095140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 8*q**2 + 13*q + 42. Let s be t(-7). Solve -32 = -4*m + 4*k, s = 2*m - 5*k - 3 - 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*w + 1709 - 362 = 227 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/5 - -3)*(-10)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*w - 815*w - 664*w + 107*w to the form n + v*w and give v.\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/4 - 7*o**2\/2 - 15*o\/4 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16323 (base 9) to base 2\nAnswer: -10101110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47155 = u + 2*y, 0 = 116*u - 114*u - y - 94320. What are the prime factors of u?\nAnswer: 7, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -72. Suppose -8 = -b + p*b. Let c = 1\/3711 - 111341\/40821. Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from piippip.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 802, 589, 168, -533, -1586, -3063, -5036?\nAnswer: -7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 6. Let d(n) = 10*n - 4. Let w(b) = b - 2. Let a(m) = d(m) - 2*w(m). What is y(a(k))?\nAnswer: 24*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-22)*(-352)\/528 - -5.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -48*v - 376. Calculate the remainder when v is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/84 + (-2064)\/(-1680)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10587 is divided by 10578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/4*12\/168)\/(27\/(-16)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 29. List the prime factors of (-112)\/l - (10 + -7).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m - 36. Let b be h(-2). Let y(j) = -j - 8. What is y(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*r - 7*r**2 + 984*r - 11*r**2 - 498*r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -216, -487, -868?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -71133.\nAnswer: -35\/71133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10999781686 and 113?\nAnswer: 10999781573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 3 + 6*h**3 - 4*h**2 - 1 - h**3. What is l(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171481570.36 rounded to the nearest 100000?\nAnswer: -171500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v + 36. Calculate d(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 8*o - 5*h + 2, 11*o = 131*h - 130*h - 42 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222440, -1222437, -1222434?\nAnswer: -1222431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + d)*(-4 - 2 + 4)*(-3*d**2 - 7 + 7)*(-5*d + 4*d + 2*d).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 3) + 27 + -20 + 16 + 4 + -4\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -11 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 45 + 147. Calculate the remainder when 45 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*r - 16, 132*r = 9*k + 137*r - 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348306926?\nAnswer: 2, 11, 15832133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7120, -14220, -21306, -28378, -35436, -42480, -49510?\n\"Answer: 7*m**2 - 7121*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/42896 (c) 7 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 35, -3, -12241, 2 in descending order.\nAnswer: 35, 2, 0, -3, -12241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 258cda (base 14) to base 8\nAnswer: 4733700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/6720 - y**7\/360 - 11*y**6\/720 - y**5\/24 - 3*y**4\/8 - 14*y**2. Let g(v) be the second derivative of h(v). Factor g(d).\nAnswer: -(d + 1)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52608 is divided by 6576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -o - 20, -5*n + 2*o = 12 - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((7 - (-2 - -2)) + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(2*(-663)\/136)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 69.899. Let o = 0.95 - 0.991. Let w = v - o. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 13) to base 3\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**3 + 3*p**2 - p - 3. Let f(l) = -39*l**3 - 5*l**2 + l + 8. Let s(w) = 5*a(w) + 2*f(w). Let c(v) = v**3 - v**2 + v. Determine 5*c(x) + s(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (-3 + 2 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 555 and 8550?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 86 + 92 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:37 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 6*b - 21*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 9 - 9)*(-13*x**4 - 31*x**4 - 122*x**4)*(4 - 2 + 1).\nAnswer: 2988*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653649968 to the nearest integer?\nAnswer: 25567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 267764 by 9563.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520 + -525. Which is the third biggest value? (a) -3 (b) s (c) 4 (d) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242935*w**2*z + 69352*w**2 wrt z.\nAnswer: -242935*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 560047231.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15462 + 3?\nAnswer: 15465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 1, n: 4, m: 1, k: 1}. What is prob of picking 2 i and 1 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001394231319 to 7 decimal places.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10468?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3 + 15. Suppose 2*v = x - v + 2, 5*x - o = 4*v. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 3*g**2 + 2*g + 1. Let j be 2 + (2 - (1 + -1)). Suppose 0*p - j = -2*p. Suppose -3*r - p*r - 5 = 0. What is u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 6*d**2 + d - 3. Let q be o(-2). Let l(k) = 3*k - 6. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-700)\/98)\/(825\/2310)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7 and -337.\nAnswer: 909.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 115, 139, 173?\n\"Answer: 5*t**2 - t + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/62307000 and -211\/1932000.\nAnswer: 249228000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -20, -3*q + 51 = -0*k + 4*k. Let v(g) = -26*g**2 - 59 - 39*g**2 + 66*g**2 - 5*g. Calculate the remainder when k is divided by v(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w - 2*w. Let t = w + 5. Suppose j - 38 = -t. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 10 (b) 5 (c) -5 (d) 2\/3 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3244\/4305 - -40\/861. What is the second biggest value in 2\/19, -0.208, -0.2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -214*c**2 + 77253*c + 361.\nAnswer: -(c - 361)*(214*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14997 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 68\/3 of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7498 = 46*p - 7820 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0.2 (b) -1 (c) -0.4 (d) 17981\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -21*f**6\/200 + f**5\/100 + f**4\/20 - 10*f**2. Determine d so that v(d) = 0.\nAnswer: -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*f + 235 = 52*f. Which is the closest to 0.17? (a) f (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*2) + sqrt(171)*-1 + 1 + sqrt(133)\/(sqrt(7)*2).\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113691963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**0\/s))\/s)**(-6\/13)\/(((s*s**(-4)*s)\/s)\/((s*s**(-1\/5))\/s)) assuming s is positive.\nAnswer: s**(122\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqimioqgz. What is prob of sequence iqq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 5*c - 23, c + 4*l + 3 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Let q = 30877\/3 + -10295. Let o(j) = -j**2 - 3*j - 3. Let v be o(-2). Which is the fourth biggest value? (a) f (b) q (c) v (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9633)\/(-988))\/((-15)\/40)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 139, 207, 273?\n\"Answer: -b**2 + 73*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 588 = 4*s, 283 = 4*t + 5*s - 269. Calculate the remainder when t is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + (6 - (2 + -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**4 - 17*h**4 + 6*h**4 + (0*h**2 + 0*h**2 - h**2)*(-1820 - 1969*h**2 + 911 + 909).\nAnswer: 1950*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200.49618 or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5848700 by -260.\nAnswer: 22495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-15) - (-10 - 480\/(-75)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -648, -4896, -16146, -37800, -73260?\n\"Answer: -567*a**3 - 99*a**2 + 18*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (-174)\/(-12))*48\/364.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3876.17 and -36.599?\nAnswer: 3839.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*l + 4*j, 5103681*l = 5103686*l + j - 36 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, o: 2, q: 1}. What is prob of sequence booq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(7\/4)*h**11)\/(h**(-6\/5)*h**(2\/19)) assuming h is positive.\nAnswer: h**(6021\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 21144*y - 42272 = 0.\nAnswer: 2, 5284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 12)\/1 + -268 + (-3 - -9). Which is greater: -2147\/8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305573889?\nAnswer: 3, 101857963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2283\/4)\/(18\/40968). Suppose 3235027 = 4*u + r. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5373 - -5379. Let g(x) = -2*x**3 + 13*x**2 - 7*x - 6. Determine g(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575, 579, 593, 623, 675, 755?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/3 + 151408*v\/3 + 4142968 = 0.\nAnswer: -82, 75786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 27. Let f be s(-7). Let y = 29 + f. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 653906 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 + 2.0627.\nAnswer: 76.0627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 195*o + 103*o + 97*o = 12, 6*t + 4*o = 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*p - 11 = l, 2*p + 4 = 2*l. Let m(g) be the third derivative of -g**4\/6 + 7*g**3\/6 - 20*g**2 + 6. Determine m(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*o + 8, -7*o = -2*b - 11*o + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*g + 2. What is the least common multiple of g and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/36 and 169\/10485174.\nAnswer: 62911044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15590\/(-15))\/((-2)\/(-3)*-1). Let s = l - -944. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.7 + -93. What is the nearest to z in -0.1, 1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + 1 - 5*z**3 + 15*z**3 - 4*z**3 + 43*z in the form i*z + m + b*z**2 + l*z**3 and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32293, 53247, 74201, 95155, 116109?\nAnswer: 137063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five thirds of a week?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 59. Find the common denominator of (d*(-2)\/(-292))\/(267\/(-1157)) and 67\/22.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5704 + 4023. What are the prime factors of w?\nAnswer: 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 93*i**2\/2 - 7*i + 1. Is f(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*z - 279*z - 2088 = -68*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 101*q**2 + 14*q. Let w(v) = -33*v**2 - 5*v. What is 4*f(c) + 11*w(c)?\nAnswer: 41*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 9*d**2 - 29*d - 61. Let v be n(-6). Solve -18 = -v*f - 2*c, f = 5*c + 30 - 48 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*x**2 + 44*x**2 + 101*x**2)*(-2*x + 3*x + 3*x).\nAnswer: 804*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -b99 (base 13) to base 14\nAnswer: -a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/7 - 2892*h**4\/7 + 5177138*h**3\/7 + 15557396*h**2\/7 + 11544*h\/7 - 2963312 = 0.\nAnswer: -2486, -2, 1, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(396) + 1)**2 - sqrt(396))*4.\nAnswer: -6352 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/3 - 52*v\/3 - 17 = 0.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + ((-468)\/112 - -1). Let q = -1\/14 + j. Calculate the common denominator of -31\/10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, e: 1, w: 1, j: 1}. What is prob of sequence ibwe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4.9 (b) -4.6 (c) 526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17811.\nAnswer: 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 10381*i + 13108622 = 0.\nAnswer: -1138, 11519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163644 and -0.3?\nAnswer: 49093.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -97 - 1\/8*q**2 + 777\/8*q = 0?\nAnswer: 1, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 9*p - 2. Suppose -13 = -3*j - p. Let a(o) = o**3 - 4*o**2 + 3*o + 3. What is a(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*1) - sqrt(13)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 199646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-5))\/(-24*(-32)\/(-5120)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202 and 2957972.\nAnswer: 298755172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 4, y: 3, b: 4}. Give prob of sequence ob.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19166, -33468, -47770, -62072, -76374, -90676?\n\"Answer: -14302*b - 4864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 5. Let h = 26 - 29. Let t(y) = 2*y - 4. Let c(q) = h*x(q) - 4*t(q). What is c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010757 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181381 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpfbfuuuxux. Give prob of sequence xb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 6*v)*(-1 + 3 + 2) + (3*v + 0*v - 2*v)*(3 + 0 - 4).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 2007.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72)*5 - sqrt(72))\/sqrt(6).\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363.004304 - -363. Round k to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079 at least -1080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 103393123 a multiple of 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:42 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 47. Let t = q + -37. Let f = 23 - t. Let s(n) = -3*n**2 - 2*n + 2. Let c(i) = -7*i**2 - 5*i + 5. What is f*s(y) - 2*c(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 80. Let i = 1574 - 1079. What is the greatest common divisor of c and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 7 = -4*a - 2, -8*f + 30*a + 50 = -23*f + 6*f + 29*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29967, 29852, 29559, 29004, 28103, 26772?\nAnswer: 24927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 23 + 22 + -21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 94*m**3 + 516*m**2 + 1000*m + 656.\nAnswer: 2*(m + 2)**3*(m + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 185*z**2. Let s(x) = -x**3 - 6*x**2 + 3*x - 26. Let l be s(-7). Let a(k) = -11*k**2 + 5*k**l + 5*k**2 + 3*k**2. Determine a(v(c)).\nAnswer: 68450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003688 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 1134.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 16*o**2 + 35*o - 18. Let l be b(-18). Suppose l = 5*q - 30 + 10. Solve z + 9 = -4*w, -21 = 3*z - 6*z + q*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163035, -162988, -162941, -162894, -162847?\nAnswer: -162800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66970*k - 66992*k - 88 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -1. Let n = m + 4.7. What is the closest to 0 in 1\/8, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139820*413.\nAnswer: 57745660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*r = 1449*r - 14652 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 839 - 905 = 0. Suppose 2*c - 5 = -1. Suppose f - 7 = -p, 0*p - 5*f + 20 = 2*p. Solve -c*h = p*b - 6*b - 7, -d*b = -h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 5*f - 4*y, 0 = -2*y - 2. Let v = -6 + 9. Let p = v - 5. What is the nearest to p in f, 1\/6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3, -i - 1068 = -3*d - 4*i. What are the prime factors of d?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -133. Let r = 34.135 - c. Round r to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*o + 8*o + 7*o as z*o + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 - -7.2. Let v = -6 + 3. Which is the closest to 0.1? (a) y (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1780\/623 + (-361)\/(-665).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x - 6. Let b be t(0). Let a be (-2)\/(-2) + -3 - b. Solve k + 2*k + 12 = 0, a*u - 2*k - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t + 127*t - g - 5 = 0, 0 = -5*t + 3*g + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 18 = -3*n, 0 = -z - n - 1 - 7. Let v = -117 + 114. Sort v, z, -5.\nAnswer: z, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73369 take away 213.764117?\nAnswer: -73582.764117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103190832 divided by 12?\nAnswer: 8599236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + v + 13, v + 19 = -2*h - 4*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-220))\/((-12)\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/40 + 7*j**5\/10 + 21*j**4\/8 - 18*j**3 + 1496*j**2. Determine h, given that u(h) = 0.\nAnswer: -12, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:00 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-154.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let l(i) = 616*i**2. Determine l(b(k)).\nAnswer: 2464*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 a factor of 615038622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.017.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 95634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 21. Let l(p) = p**3 - p. Let u(f) = 6*f**4 - 18*f**3 + 2*f**2 + 18*f. Let n(g) = c*l(g) + 2*u(g). Find the third derivative of n(s) wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 248. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613551 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)*0 + 1. Let h = 2 + a. Suppose -9 = -z + h. 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 = 18 + -8. Let s = 9 - f. Let c = s + 0.9. Is c greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 441, 456, 495, 570, 693, 876, 1131?\n\"Answer: 2*n**3 + n + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575, 574, 573?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*o - 28 = 0, -56*r + 52*r + 2*o = -18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313051\/43530 + 73\/8706. Factor -u*i**2 - 78\/5*i - 8 + 2\/5*i**3.\nAnswer: 2*(i - 20)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.9 (b) -3\/7 (c) -2\/43 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, c: 3}. What is prob of picking 1 o and 1 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 30.936, -6.3, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from qmmtotmqtoqmqmmmmmm.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184119 - 184120.76642. Let n = z + 92.92342. Let x = 91 - n. What is x rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 24 = -4*h - 14*w, -4*h - 2*w - 18 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-230)*110\/(-88).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -97, -1\/5, 14, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2 + 0*q + 7\/2*q**2. Give l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.2 + 42. Let z = n + 0.7. Which is the closest to 0? (a) -7 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -49*h + 133 + 371 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26342021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -32*v - 33. Let m(g) = 17*g + 18. Let k(h) = -11*m(h) - 6*w(h). Let b(r) = -167*r. Calculate b(k(l)).\nAnswer: -835*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333586515 to the power of 1\/3, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 340, 0.2, -2, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 963176*g - 7705418. Calculate n(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Let a(n) = -10*n**v - 12*n**2 + n**3 + 2 + 30*n**2. Calculate the smallest common multiple of 18 and a(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 188867827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430222 divided by 197?\nAnswer: 430222\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50755, 50754, 50751, 50746, 50739, 50730, 50719?\n\"Answer: -r**2 + 2*r + 50754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*c + t, -4*c + 3*t - 25 = -0*t. Let j be (-1)\/(-3) - c\/(-12). Solve j*o + 5*o + 10 = 2*l, 0 = 2*l - o - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -52. Let h = i - 30. What is the derivative of -h*o + 0*o - 16 - 7*o + 6*o wrt o?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41581 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**3\/6 - 3*q**2\/2 + 22*q + 1. Let o be n(11). What is the highest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/66066 and -131\/2574?\nAnswer: 198198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1d2e83 (base 15) to base 8\nAnswer: -5344103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.512662 grams?\nAnswer: 512662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -842*d - 378?\nAnswer: -842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156507 or 156554?\nAnswer: 156554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116231 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7629 is divided by 779.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 s, and 1 g when four letters picked without replacement from sssssjsgssjjsjjjsgs?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2262784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3478 + -3480. Put -4, -1, -0.2, 10, d in decreasing order.\nAnswer: 10, -0.2, -1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 2*p - 8*p**4 - 44*p**4 - 8 + 6*p**4 + 9*p**4 + 10*p**4 to the form d*p**2 + l + v*p**3 + o*p + u*p**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, 54, 161, 314?\n\"Answer: 23*b**2 - 8*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*q - 8*q. Solve 3*j + j - q = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, 0.5, 9, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 503 - -387. Let x = 1628 - t. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/497320 and 79\/248660.\nAnswer: 497320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 3. Give g(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1*(-12)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16, -5*y - 4*t = -y - 20. Let l = 97 + -875\/9. Which is the closest to y? (a) l (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k - 5. Let o(p) = -p**2 + p + 4. Let x(c) = -4*h(c) - 5*o(c). Let w be x(-4). Suppose -w*l + 19 + 29 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 275 - 269. Suppose -j*p + 0*p + 11010 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 24*f + 754 = 193 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -49, 211, 827, 1919, 3607?\nAnswer: 6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -704, -744, -820, -944?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, y: 1, p: 1, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131406375 and 21375?\nAnswer: 7125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + (-2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v. Let j(d) = 2*d. Let g be j(7). Let p = g + 12. Let u(l) = 4*l**2 + 9*l**2 + 10*l**2 - p*l**2. Calculate c(u(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 4*v + 108064 = 0. Suppose 27*x = 26*x + v. Suppose 9*g + x = 17*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -4*w, -10*o + 125 = -15*w + 12*w. Let a(f) = -2*f. What is a(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**28*f)\/(f**(-24)*f))**(-1\/35) assuming f is positive.\nAnswer: f**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 3*p**3 + p**3 + (p**2 - 30*p**2 - 10*p**2)*(p - p - 2*p).\nAnswer: 79*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1179.95 (b) -2\/9 (c) 1\/3 (d) 0.5 (e) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 187, -1\/4, 0.3, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 24. Let o = -17 + i. What are the prime factors of 6*o*((-320)\/12)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 9. What is b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9171244g in tonnes?\nAnswer: 0.0000009171244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 11 = 4*n - 2*n, -5*n + 4 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaauaabaaaaufbbaada. Give prob of sequence bbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(1216) - sqrt(1216)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1285789*l**2*s**2 + 45196*l**2 + 6*l + 2*s**3 wrt s.\nAnswer: 2571578*l**2*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369 - 314 + 573)*(0*p**2 - 2*p**4 + 0*p**2).\nAnswer: 220*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10)*(-10)\/(-4). Suppose r - 10 = 3*y, -3*y + 40 = 4*r - o*y. What is the units digit of (r*5)\/(2 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26383*l = 25871*l + 5632 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + 4*m**2 - 20*m + 36. Calculate the least common multiple of 9 and j(12).\nAnswer: 21852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m - 17739 + 17739.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -2 + 795\/126 + -3 and 85\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*0.4.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/(1*1\/(-2)). Let a be 0\/q + 14 + -9. Solve -50 + 15 = -5*r - 2*k, 45 = 4*r + a*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)\/(-4 + (-21)\/(-6)). Suppose 94 = 8*j - 4*j - 5*s, 4*j = s + 86. Let r = -17 + j. Solve r = i*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -27*j**5\/80 - 9*j**4\/16 - 3*j**3\/8 - j**2\/8 - 10*j. Find u such that x(u) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 3*q**3 + 3*q**3 + (0 + 0 - 1)*(-5*q**3 + 4*q**3 + 3*q**3) + 0*q**3 + 3*q**3 + 2*q**3 - 2*q**3 + 3*q**3 + 0*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.93 plus 39407019499?\nAnswer: 39407019494.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8488339?\nAnswer: 8488339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k + 12. Let a(q) = -q + 29. Let l be a(23). Let p be w(l). Let v be (-2 - p\/(-20))\/((-3)\/30). Solve -4*f - 4*j + j = -6, -4*j - v = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 26*m**2 + 36*m - 46. Calculate the remainder when s(-20) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a**3 - 60*a**2 + 31*a - 12. Let h(n) = -11*n**3 + 31*n**2 - 15*n + 6. Let j(m) = -19*h(m) - 10*t(m). Calculate j(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.2, 11, 4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 65 - 5 + 4*x**2 - 39*x + 69*x**3 + 14*x.\nAnswer: 69*x**3 + x**2 - 25*x + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 = 84*w - 1831 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.33 plus 56?\nAnswer: 107.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89170.9 years in centuries?\nAnswer: 891.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a - 59 - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 449048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.863 + -0.363. Which is the closest to -4? (a) 2\/3 (b) -3 (c) l (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/12 - z**4\/3 - z**3 + 25*z**2. Let f be i(-6). Let m = f + -114. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39e (base 15) to base 5.\nAnswer: 11244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*((3 + 0 - 1)*(-11*h - 16*h + 2*h) + 36 - 36 - 3*h).\nAnswer: 159*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*k + 156, -3*c = -7*c - k + 129. Does 33 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)\/l)**(-49)*l**(4\/19)*l**9)**48 assuming l is positive.\nAnswer: l**(129472\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:28 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**3 + 0*m**2 + 0*m**5 + 1\/30*m**6 + 0 - m + 1\/6*m**4. Find the third derivative of b(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 4}. Give prob of sequence hz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*k + 96*k - 4*k**2 - 10*k**2.\nAnswer: -14*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5650 and 2100.\nAnswer: 237300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8 = -2*i - 3*i, 8 = i - 4*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-26) - (-1)\/2. Let g(t) = 5*t**3 - 2*t**2 - 7*t + 11. Let i(d) = -3*d**3 + d**2 + 4*d - 6. Give q*g(b) + 7*i(b).\nAnswer: -b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/924 and -61\/1122.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 2*r + r - 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14445359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 17*t + 4644 = 0. Let b = 902 + t. What are the prime factors of b?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k - 11*k + 2*k - 3*k + 2*k + 0*k + (k - 3*k - k)*(-5 + 3 - 11).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 64*m**3 + 5*m**2 - 65*m + 14. List the prime factors of n(6).\nAnswer: 2, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let f(p) = -2 + 7*p**3 - p**2 - 3*p**3 - 2*p - 16*p**3. Let g be f(-1). Let s(d) = 6*d - g*d - 11*d - 8*d. Give s(b(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**(-1)\/(f**0\/f*f*f)**(-6\/13))**10 assuming f is positive.\nAnswer: f**(440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (-76)\/12. Suppose -j = -2*k - 5 - t, -12 = -3*j - 2*k. Let s be -2 + (-3 - (2 + -31)). Calculate the greatest common divisor of s and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 2106.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 1)*(-333 - 884*n + 333) + (-5 + 4 + 2)*(-3*n + 0*n + 5*n) in the form f + g*n and give g.\nAnswer: 2654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-18))\/((-30)\/(-45))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2792552?\nAnswer: -139627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*w - 11*w. Solve -3*i + 3*r - w = -1, -12 = i - 5*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let h(c) = -4*c. Suppose u + 3*l + 79 = -86, l = -u - 159. Let k = 154 + u. Determine k*h(f) + 5*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = -3*j - 69, 5*j = 4*k - 97. Suppose 11*i = 6*i + 5. Sort 4, i, j in descending order.\nAnswer: 4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2\/5 (c) -1 (d) -0.2 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.5272 + -126.1642. Round t to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -486, 1\/5, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4002766 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 35. Let p be 168\/(-30)*o\/(-2). Let s = p - 30. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, -244 in increasing order.\nAnswer: -244, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1651, 21, -10.\nAnswer: -1651, -10, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -45, -64, -85, -108?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejegjjegeej. Give prob of sequence jejj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.07, -8\/3, 3\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 + -2)\/1. Suppose -4 = 3*c + 2. Let y be (-2)\/(-1)*c\/(-4). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7960232*o**2 - 9*o**3 - 13*o**3 - 7960232*o**2 + 33*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -58568?\nAnswer: -58568.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -207, -467, -959, -1761, -2951, -4607, -6807?\n\"Answer: -13*q**3 + q**2 - 18*q - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + (-22)\/(-5). Suppose r - 2*r - 5*p = -87, -420 = -j*r - 2*p. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 34. Find the third derivative of -6*r**3 + r**a + 27*r**2 + 0*r**3 - 7*r**3 wrt r.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (7 + (2 - -23))) + (1 - 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -315 and 211.\nAnswer: -66465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 159*w + 120. Let z be o(39). Solve 8*s + 21 = -z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 16, 0 = -2*g + 32*j - 29*j - 2. Let u(s) = -10*s**3 + 5*s**2 - 4*s - 7. Let x(d) = 10*d**3 - 6*d**2 + 5*d + 8. What is g*x(z) + 6*u(z)?\nAnswer: -10*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -1\/5 (b) -41 (c) -9 (d) -3\/2 (e) -0.1 (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + 5 + 4*(3 + sqrt(147)*2)))**2.\nAnswer: 8512*sqrt(3) + 39076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let w = t - -0.9. Let q = -0.013 - -0.113. Sort 5, w, q in descending order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -22. Let t = v + 45. What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3\/i**15 assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, -4, -73, -218, -463, -832, -1349?\n\"Answer: -4*x**3 - 2*x**2 + 17*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, v: 1, y: 2, h: 5}. Give prob of sequence nhv.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n + 4 + 1\/3*n**3 + 1\/2*n**2 + n**4. Let k = -3 - -4. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**3\/11 + 2298*h**2\/11 - 111720*h\/11 + 162450\/11.\nAnswer: -6*(h - 95)**2*(2*h - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.034 * 68356.\nAnswer: -2324.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 12*k + k**2 + 8*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15807 and 108.\nAnswer: 569052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2380 = 2*q + w - 5*w, -3*q + w = -3595. Suppose -3*a + q = -5*a. Let h be 2\/(-6)*a\/8. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 550. Suppose -5*f - x = -d, 5*x = 2*f + 4*x - 51. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - (-2 + 38\/(-14)). Suppose 0 = -3*q + 2*f + 895, -3*q + l*f + 263 = -647. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9575 + -9574.95. Put 0, -4, b, 2\/19, 1\/2 in ascending order.\nAnswer: -4, 0, b, 2\/19, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(176) - sqrt(44))\/sqrt(4) + ((2*sqrt(55))\/sqrt(5) - ((sqrt(77) - 1*sqrt(77))\/sqrt(7) + sqrt(11))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*g + g = -14, g = 3. Let i be (280\/(-21))\/(z\/(-15)). Suppose -i + 36 = -4*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7042, 14083, 21124, 28165, 35206?\nAnswer: 42247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xktxxddwdkhkxddxwkdk. Give prob of picking 1 h, 2 x, and 1 k.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012321 (base 5) to base 9.\nAnswer: 153824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d. Let z(t) = -233*t**2 + 2*t + 7. What is z(h(r))?\nAnswer: -3728*r**2 - 8*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 28.4, 6\/13, -44, -1\/5?\nAnswer: 28.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-3 + 7 - 5) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19246.344 months to centuries.\nAnswer: 16.03862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8341.2970663 and -8.\nAnswer: 8333.2970663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2134 by -2.\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/55 and -16\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -5\/804954173.\nAnswer: 8049541730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 420*a**2 + 14700*a + 171500.\nAnswer: 4*(a + 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*l = -3, -2 = 120*t - 122*t - 4*l. Let o(c) = c**2 - 5*c - 16. Suppose -27 - 22 = -7*y. Let f be o(y). Put t, -8, f in decreasing order.\nAnswer: t, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:24 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(-3 + sqrt(832) + 1 + (sqrt(832)*-1 + sqrt(832))*2 - -5*(sqrt(832)*-1 + sqrt(832))*4))**2.\nAnswer: -96*sqrt(13) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-7 + 15)) + (-819)\/198.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118877, -118865, -118855, -118853, -118865?\nAnswer: -118897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8.18. Let a = 0.38 + w. Let t = -7.9462 + -0.0538. What is the third biggest value in t, a, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/5 - 104*z**3\/5 + 22684*z**2\/5 + 179776*z = 0. What is z?\nAnswer: -53, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 12) to base 14.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.2 take away 288203.5374?\nAnswer: -288191.3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -2283\nAnswer: -34245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9254 + 20*s**5 + 4543 - 724*s - 856*s**2 - 192*s**3 + 128*s**4 + 4543 = 0. Calculate s.\nAnswer: -7, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(6\/4*1). Suppose -b*z + 185 = z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -18.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -3578.\nAnswer: -81\/3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16281303 + -6968\nAnswer: -16288271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 8*s - 3. Let l be d(-2). Put l, -65, -2, 4 in descending order.\nAnswer: l, 4, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - 4*h - 2, -4 = -2*t + 2*h. Let v = t - -2. Solve 0*a - v = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8605.\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 5*t**2\/2 + 20*t - 364. What is k(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*l - 218 = 0, -g - 2*l = -l + 109. Let t = 766\/3 + g. Let i = -145 + t. Calculate the common denominator of i and 57\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107135 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = 0, 12*o - 16*o + 4*t + 7008 = 0. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 988950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 351\/80 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388 + 12*v**2 + 6*v**2 + 388 - 2816*v + 2819*v.\nAnswer: 18*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105120137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1664682356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34363 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.8 - 327.5. Let z = r + 193. Let c = -28 - z. Put c, -0.05, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/18)\/8*44\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4540 (b) 3 (c) -3\/2 (d) 50\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0084431, -1, -157\/3.\nAnswer: -157\/3, -1, -0.0084431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 27. Suppose 3*v - 3*x = -12, -3*x = -0*x - b. Solve -4 = -v*w + 4*w + 4*a, -2*w = -3*a + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37*(-4)\/4*3*-8*(-22)\/(-528).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*w + 10, -83*g = -2*w - 78*g - 10. Let h(x) = 26*x + 4. Let n(d) = -13*d - 2. Give w*n(s) - 3*h(s).\nAnswer: -13*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 8*m - 4. Let v be h(7). Let w(t) = 4*t - 4. Let k be w(v). What are the prime factors of (k\/(-3) - -3)*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298935756.\nAnswer: 2, 11827, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p)*(-44 + 42 - 4*p + p)*(131 + 128 - 257).\nAnswer: -12*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -305*b - 124172 + 124172 as d + y*b and give y.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 16*b**2 - 17*b - 18. What is n(-17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -1343, 5, -0.79?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8939 and 266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Suppose -2*y + g*y = -5*w - 10, -2*w - 4 = 0. Suppose 2*l + 59 - 211 = y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2 + 2)*(-12*g**3 - 4*g**3 + 3*g**3) + (-3*g**5 + 3*g**5 - g**5)*(1 - 1 - 1).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4228493, -8456989, -12685485?\n\"Answer: -4228496*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-5 - -9 - 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 43 = -32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(8*b - 13*b + 8*b) - b - 1 - b + 0*b.\nAnswer: 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2267208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 12*t - 4. Let b(c) = -4*c - 1. Let y be b(1). Let j be u(y). Solve -5*d = -3*i - j, 2*d - i = i + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1107 (base 8) to base 12\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5625*q + 669368. Give v(-119).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 112912*s + 677466. Give u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3220216 millilitres in litres?\nAnswer: 0.0003220216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 342*u**2 + 1 - 197*u**2 + u - 144*u**2 + 4*u**3 to the form m + x*u**2 + p*u + w*u**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 33*o**2 + 238*o + 21. Let l be r(-7). Sort l, -1, 2, -6 in ascending order.\nAnswer: l, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}