diff --git "a/data/dm_maths/full_data_1/11151_11255.jsonl" "b/data/dm_maths/full_data_1/11151_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11151_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence jpd when three letters picked without replacement from djpjkozz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/21 - 89\/(-623).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/868 and 89\/12.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1538 = -9*x - 1378. Let d = -149 - x. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2*(-2)\/3)\/54\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:29 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 218849 divided by -4\nAnswer: -218849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 18224*o**2 - 2213964*o - 6806016 = 0.\nAnswer: -3, 128, 4431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*s - 5*r, 2*s + 18 = -3*r - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*r + 37913*b**3 + 313*b**2 - 3*r wrt b.\nAnswer: -6*r + 227478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649.7645ng to tonnes.\nAnswer: 0.0000000000006497645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/5)\/(s**8*s)*(((s*s*s**(-2)*s)\/s)\/s)**(-15) assuming s is positive.\nAnswer: s**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 - 200208*q\/7.\nAnswer: q*(q - 200208)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:22 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -119*r**2 - 2483*r + 23. Determine p(-19).\nAnswer: 4241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 12 (b) 5 (c) -4 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 10188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - 3*x**5 + 5*x**5 - 5*x**4 + 5*x**4 - 2*x**5 + (-2*x**4 - x**4 + 2*x**4)*(-x + 0*x + 2*x) + 5 - x**5 - 5 - 3*x**5 + x**5 - 6*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 9. Let p = -5 - -9. Let r be l(p). Suppose 0 = r*f - 6*f - 18. Let t(k) = 2*k + 9. Give t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -5. Let r be 1 - (5\/n + 0). Which is the closest to 0.1? (a) r (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18263*l = 18254*l + 221805. List the prime factors of l.\nAnswer: 3, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-88))\/(-1))\/((-28)\/(392\/21))\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*f - 6, 4*c - 3*f - 39 = -c. Let r = 12 - c. Let o be r\/3 + (2 - 0). What is the second smallest value in o, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(684) + -1)**2 - (sqrt(38)\/(((sqrt(16)\/sqrt(2))\/sqrt(4) + sqrt(2) - sqrt(2)) + sqrt(2)))**2.\nAnswer: -12*sqrt(19) + 2713\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/176 - 75\/(-100).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 833018120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 29 + 2*n + 10 + 6*n**3 - 18*n**3 + 5 + 5*n**2 as s*n**3 + t + d*n**2 + j*n and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -16*d. Let v be l(3). Let y be 6\/16 + 3849\/(-72) + 5. Let n = y - v. Which is the smallest value? (a) n (b) -1 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 2\/9, -3, -4, 0.37, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/431126?\nAnswer: -1\/431126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (7 + -17)*(24\/(-2))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 991*w**5\/4 + 71*w**3 + w**2\/2 - 198*w + 4. What is the second derivative of d(f) wrt f?\nAnswer: 29730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrrr when four letters picked without replacement from ryvyrryvryv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6327 - -3654. Let s = -2670.43127 - v. Let d = 2.57 - s. What is d rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -425, -864, -1303?\n\"Answer: -439*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39566\/9 - 4396. Sort 190, -2, 5, c, -3\/5.\nAnswer: -2, -3\/5, c, 5, 190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 85*t - 72*t - 27*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 i, and 1 a when four letters picked without replacement from {p: 3, h: 6, a: 4, i: 1}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11206212*t**3 - 18279964*t.\nAnswer: 67237272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3824 and 15535?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let k(a) = -1429*a - 192. What is k(q(i))?\nAnswer: -1429*i - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 1 - 2*n + n + 0*n. Let o be (-2)\/6 + 3\/9. Suppose o = -5*s - 9 - 11. What is d(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54228 and 42.\nAnswer: 379596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 0*s + 5*s)*(0*s**2 - 4*s**2 + 2*s**2) + (s**2 - 20*s + 20*s)*(0*s - 4*s + s) + s**3 - s**3 - 2*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40510 = -1030*r + 11778 - 68088 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**3\/3 + c**2\/2 - 1657. Let m(w) = -10*w. Calculate m(k(d)).\nAnswer: 20*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5126, 3 in descending order.\nAnswer: 3, -11, -5126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079584507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 + 26*x**2 + 83 + 56 + 124*x - 200 as j*x + q*x**2 + p and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 338, 382, 428, 476?\n\"Answer: n**2 + 41*n + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15049.0000013942 + -15049. Round h to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1227011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -177*b - 6. Let x = -221 + 151. Let d = x + 69. List the prime factors of r(d).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054095 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2437 - -2525. Which is the third smallest value? (a) -3\/5 (b) -1 (c) -0.03 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3540*b**2. Let s(z) = -11*z**2. Calculate s(t(n)).\nAnswer: -137847600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/60480 + a**8\/3360 + a**6\/90 + a**5\/30 + a**4\/24 + 55*a**2. Let l(j) be the third derivative of g(j). Calculate l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(1584) + sqrt(1584))*-4 - ((-1*sqrt(1584) + sqrt(1584))**2 + 3))*-5 + -2.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28652 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(539))**2*-1 + sqrt(539)*-4 + -3.\nAnswer: -558 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 5. Let w be r(4). Is 2\/w - (-3835)\/117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 divided by -15816?\nAnswer: 299\/15816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - -557. Let c = -613 + t. What is the closest to 5 in c, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23720816 and 13632.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 (base 14) in base 11?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*a**2*n**3 - 469*a**2*n + 2*a*n**2 wrt n.\nAnswer: -2292*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/88 - -59\/1144. Let x = -3 - -5. Put x, -0.5, i in descending order.\nAnswer: x, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 626249908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 + 3 = 2*n, 2*j = 2*n + 10. Let l = -13.7 - -2.7. Let b = l + 10. Put n, -5, b in increasing order.\nAnswer: -5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66176.15ml?\nAnswer: 66.17615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83855656447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25075 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 895288 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 400*a**2 - 572*a + 172 = 0. What is a?\nAnswer: 43\/100, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/18 + (0 - (-2)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -13, 9, -5, 0, -10057 in decreasing order.\nAnswer: 9, 0, -3, -4, -5, -13, -10057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1024 divided by -2.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (-5 + -1*sqrt(320) - -6*(sqrt(320) - (sqrt(320) + -1)))))**2.\nAnswer: 400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 5*h**2 + 5*h - 1 - 3*h**2. Let y be i(4). Suppose 3*a + 53 = 3*q + 14, -32 = -4*q - a. Calculate the highest common divisor of y and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 4 - 2*t**3 - 2*t**2 - 2 to i*t + g + y*t**3 + k*t**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.44344 days in milliseconds?\nAnswer: 4703913216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Suppose 2*g - 5*c - 75 = 0, 10 = -4*g + 4*c + 142. Suppose -2*d + g = -7*d. Determine i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/69*(-2)\/(-32)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 7 - 2*c**2 + 5 + 3*c - 10 - 2*c.\nAnswer: -(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 + v + 29. Let a(k) = -13*k**3 + 2*k**2 - 4*k**3 + 7*k**3 - 2*k - 2 + k. Calculate the remainder when f(0) is divided by a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**19)*q*q\/q**(5\/2)*q*q**(2\/19)*q**(-1\/18) assuming q is positive.\nAnswer: q**(3343\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 75955052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = b, -13*p = -3*b - 12*p + 16. Let q be 59 + (b\/(-1) - -3). Calculate the highest common factor of q and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 55 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 5. Let a(z) = -z**2 - 2. Let s(n) = 5*a(n) - 2*t(n). Let d(h) = -2*h. Calculate s(d(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-280))\/(30\/84).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-168))\/((-3)\/12). Let v = -91.2 - -91. Which is the second smallest value? (a) -2\/13 (b) r (c) 9 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 5*m**2 - 15*m + 13. Give k(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.678 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -0.5, 0, -6.2, 4, 1\/213 in descending order.\nAnswer: 4, 1, 1\/213, 0, -0.5, -3, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:58 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1933675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 193820.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -130. Put -3, 2, q in descending order.\nAnswer: 2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -481 and -0.335 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -22. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 + 263*d**3\/2 - 399*d**2.\nAnswer: d**2*(d - 3)*(d + 266)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = 40*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -375397952*b**2 + 74378*b - 6092.\nAnswer: -750795904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9931 - -9933. Which is the closest to t? (a) 2\/7 (b) -1\/7 (c) 0.06 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 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: Expand (-2 + 2 + 3*i)*(0*i - 4*i + 5*i + (0*i - 5*i + 3*i)*(-2 + 1 + 3)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 2f4?\nAnswer: 2fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 2. Let y = -9 - -5. Let m(a) = a**2 - 1. Let j(v) = y*t(v) - 9*m(v). Find the first derivative of j(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6537, -26133, -58789, -104505?\nAnswer: -163281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:01 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 20*c**3 - 33*c + 4. Let r(s) = s**3 + s - 1. Let u(o) = -4*r(o) - y(o). Find the second derivative of u(t) wrt t.\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8956 is divided by 2212?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:12 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/8 + 3*p**3\/8 - p**2\/4.\nAnswer: -p**2*(p - 2)*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {y: 8, m: 3, u: 2, j: 6}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/5)\/((o\/(o\/o**5))\/o)*(o*o*o**(-3))\/(o*o*o**(-4))*(o*o*o*o\/o**(-1)*o)**17*((o**(2\/5)*o)\/o)**(1\/6) assuming o is positive.\nAnswer: o**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 91206.6 weeks?\nAnswer: 55161751680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by (0 + 1)*((-363)\/(-6) - (-135)\/(-90))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3\/7, -0.08, 4, 1\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(100) - -2*sqrt(100))*-6.\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -516599 <= -516446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2121)\/990*((-66)\/140 + 14\/35) and -65\/4.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 110 = 0. Let m = c - 18. Suppose -123 = -3*q + x, m*q + q - 2*x - 205 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = -9*n - 340416 + 3001796. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20263, -20258, -20253, -20248?\nAnswer: -20243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1507 - -1584. Let u be (-1 + 18\/(-4))*-2. Calculate the greatest common divisor of v and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 6*r = -330. Suppose 8*o + r = 151. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193479080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/735*(-21)\/(-49)*3276\/1872.\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 36838263.\nAnswer: 36838262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8274079 divided by -8274079.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179033600 divided by -150.\nAnswer: 7860224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206840 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 10:46 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h**3\/3 - 24*h**2\/17 - 40*h\/17 + 309. Solve c(g) = 0.\nAnswer: -10\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 208*m**2 + 529*m + 1565. What is u(-3)?\nAnswer: 1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + a + 189*a**2 - 6*a - 2 + 0*a + 1.\nAnswer: 196*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171620 + 0?\nAnswer: 171620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 14, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67488.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-3))\/((-3120)\/(-396) + -8) - 4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 90 = 36*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*w - 2*w. Let k(c) = -3*c + 7. Let j(v) = -v**3 - 8*v**2 + v + 3. Let t be j(-8). Let d(s) = -10*s + 22. Determine t*d(r) + w*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g - 244. Let s = 234 - 215. Let v be o(s). Find n, given that 30*n**2 + 20 - 25\/4*n**v - 45*n = 0.\nAnswer: 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3 + 10*i**2 + 25*i + 8147 wrt i?\nAnswer: -3*i**2 + 20*i + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -59. Let q = i + 63. What is the closest to q in 1, 5, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 329\/56 - (-40)\/(-60)\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/3)*d)**(-2\/57)*d\/d**(-2)*d**(5\/3))\/((d*d*(d**2*d)\/d)\/d**(-3)*((d*d**(-1))\/d)**(-33\/5)) assuming d is positive.\nAnswer: d**(-7678\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -11059.\nAnswer: 5\/11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m - 2. Let h be f(4). Let g be (5\/h - (-1 + 0))*1. Which is the fourth biggest value? (a) 5 (b) g (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118990 by -23798.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/((q*q**(2\/5))\/q)*q*q)\/q)\/q)\/(q\/(q**8\/q*q*q)*q))\/(q**(-1)*q*q*q**(-8)*q))\/(q**(4\/5)\/q**(-2\/7)*(q**(-2))**(12\/5)) assuming q is positive.\nAnswer: q**(606\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11088 - -199511\/18. Calculate the common denominator of 119\/6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5844161 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 2 y when four letters picked without replacement from {f: 4, p: 2, z: 1, y: 2, l: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbhhhhhh. Give prob of picking 2 h.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 greater than or equal to -259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994, 1314, 2110, 3592, 5970?\nAnswer: 9454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583 = p + 91*r - 1036, 3*p - 4 = -2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 1, u: 1}. What is prob of picking 2 y and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14746, 15761, 16774, 17785?\n\"Answer: -h**2 + 1018*h + 13729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 12 + (-21 - -9) + -2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4 - 2*w**3\/3 + w**2\/2 + 63. What is b(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-119) + 1012160\/170 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 2) + (-8 + 1 - (0 - 11)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -193\/3. Let g = 19 + -19. Which is the nearest to g? (a) t (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955019117.\nAnswer: 13, 73463009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.484*0.2\nAnswer: -1.6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(4\/(-18)). Let u = -1 - -2.9. Let j = -0.9 + u. What is the third biggest value in j, 4\/9, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*r = -37, 4*r - 8*r = 20. Let f(v) = v - 7. Let s be f(6). Sort -5, t, s in descending order.\nAnswer: t, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*x**2 + 2*i**3*x - 15*i**2*x - i - 3*x**2 - 245*x wrt i?\nAnswer: 60*i*x**2 + 12*i*x - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5669350 is divided by 2609.\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-24)\/30 + ((-38)\/10 - 0). Which is the nearest to 0.4? (a) -2\/7 (b) 2\/5 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + h**3 + h**3 + 2*h**2 + 5*h**3 to w*h + l + m*h**2 + g*h**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22284432*s**3 + 686*s - 125798.\nAnswer: 133706592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/40 + 2*b**5\/15 - 30*b**2. What is the third derivative of u(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1) - 1) + 3. Suppose 0 = -9*n + z*n - 5. Let x(t) = -1. Let r(u) = -u + 3. Let c(y) = r(y) + 4*x(y). Calculate c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 5:41 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.04 + 7875389.\nAnswer: 7875385.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 6\/11, 1\/4, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 37092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7852 by -302.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42605968 + 1595.9?\nAnswer: 42607563.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -91220 to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 269*l**2 + 1805*l + 895. Calculate o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/5400*5*(-34)\/595.\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94703803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -148, -313, -530, -793, -1096, -1433?\n\"Answer: r**3 - 35*r**2 - 9*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 57 + -65 + 12 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.011 (c) -5 (d) -0.19 (e) -472 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 + -226. Let q = 15 + 2. Let f = q + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 7. Let j be z\/(-10) + 80\/25. Suppose -j*b + 13 = 4. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 39316*w**2 - 191993920*w - 12055230400.\nAnswer: -2*(w - 9860)**2*(w + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744, 738, 732?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + 315\/(-252)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntp when three letters picked without replacement from ypynt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84696168 to 3 decimal places.\nAnswer: -0.847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 384796742 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39552.44 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 18. Let x be y(6). Suppose -3*r = -0*r - x, -2*r = f - 47. Find the common denominator of ((-1)\/6)\/(15\/261) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 2, z: 2, u: 3, t: 1}. What is prob of sequence uvzz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -3103404?\nAnswer: -3103411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:23 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9424310.\nAnswer: 2, 5, 7, 31, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*1*(-6)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 1829649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.893 - 0.107. Sort i, 5, 1 in descending order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 11*g**2 - 5*g + 6. Let u be r(-8). Let z be (-2)\/5*(4 - u). Let m = -90 - z. What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 7*s - 172 - 324.\nAnswer: -7*s - 710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:49 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/865776 and 149\/432888?\nAnswer: 865776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66384 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1994 by -382.\nAnswer: -997\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5\/(-120) + ((-12005)\/(-150) - (-20)\/(-100)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 419881?\nAnswer: 419876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*z - 1)*(0*z - 3*z**2 + 0*z) + (7 - 7 - z**2)*(-2*z + 7*z - 2*z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/9, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 33383.\nAnswer: -134\/33383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -814*l**5 + 12606*l**4 - 3*l**3 + l**2 + 904520*l - 3 wrt l?\nAnswer: -48840*l**2 + 302544*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -57. Let t(x) = -12*x**2 + p*x**2 - 10*x**2. Let n(v) = 21*v + 5. Let h(r) = 32*r + 8. Let d(a) = 5*h(a) - 8*n(a). Give t(d(s)).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*i**3 - 101*i**3 + 126*i**3 + (0*i - 3*i + 5*i)*(0*i - 4*i**2 + 0*i).\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 120*w - 182*w + 61*w. Let o(l) = -1726*l**2. Give o(a(f)).\nAnswer: -1726*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(9*j - 2*j - j)*(41 + 9*j**3 - 41) to i + p*j**4 + y*j + t*j**3 + f*j**2 and give p.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + -3*sqrt(2))**2.\nAnswer: -48*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8654107 is divided by 393361.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13806674 a multiple of 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17) + (sqrt(153) - sqrt(17)) + -3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2 - 4. Suppose 4*q + 2*k = 88, 111 + 1 = 5*q + 2*k. Let g be (2\/8)\/(3\/q). What is the remainder when x(g) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5199 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 150092074 to the power of 1\/2, to the nearest integer?\nAnswer: 12251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180) + 1)**2 + (sqrt(500)*-2)**2)*-2*-5.\nAnswer: 240*sqrt(5) + 27210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710*h - 4 - 1709*h + 4.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.301 - -10.381. Which is smaller: -1\/71 or q?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 200, 455, 812, 1271, 1832?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.318, 2.4 in descending order.\nAnswer: 2.4, -1\/4, -0.318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 31*h + 2. Give q(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 6*u + 4. Let f be t(6). Let v(q) = -6*q + f*q + 4*q. Let c(z) = -2*z. Let j(b) = 2*b. Let x(n) = 2*c(n) + 3*j(n). Give v(x(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-15)\/(-10) - 0). Let f be ((-2)\/3*j)\/((-19)\/(-342)). What is the tens digit of (56\/f - -4)\/(1\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = n - 9, 45*n + 16 = 49*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 - 43*x**3 - 69*x - 67*x + 1 + 136*x - 4*x**4 - x**2 to the form o*x**3 + p*x**2 + v + i*x + c*x**4 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 6*b - 2. Suppose -4*v + 4 = -3*a, -2*a = 4*v + v + 18. What is f(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*k - 9, -5*k + 10*k = 4*q + 11. Suppose k*y = y + 4. Let p = 4 - y. Solve -8 = -0*b + p*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/2)\/(c\/c**(-5))*c\/((c\/(c\/(c*c**(-11))))\/c)*c**(-1) assuming c is positive.\nAnswer: c**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/7 and 11\/61?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p**2 + 0*p**2 + 2*p**2. Let k be ((-4)\/(-10) + 0)*5. Let x(v) = v**k - 3*v**2 + 6*v**2. Determine x(n(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/1 + 0 + 92?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 2*y + 1. Let c be p(1). Let z be 18\/(-10) + ((-1)\/c)\/(-1). Let q be (1 + 1\/5)\/(z\/(-35)). Solve -3*i + 5*w = -q, -5*w + 2 = 2*i + 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -182*k**2. Let z(y) = 12*y. Calculate j(z(n)).\nAnswer: -26208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1523298 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507576723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5247, 9421, 13595, 17769, 21943, 26117?\nAnswer: 30291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222 - -326. Suppose 0*v - t = 4*v. Let o be (-1 - v)\/(2\/(-9920)). Round o to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 - -3 - (10 - 6). Suppose -120 = -o - x. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/9 - 914*k\/9 - 1820\/9 = 0 for k.\nAnswer: -455, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75835069 and -5114.27.\nAnswer: 75829954.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 230633, 922390, 2075319, 3689420?\n\"Answer: 230586*u**2 - u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.355 - -0.045. Let i = -32 - -36. Let u = s - i. Which is the third smallest value? (a) -4 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 14*u**2 - 13*u - 6. Let p be j(13). Let f(v) = -3*v**3 - 8*v**2 - 6*v + 1. Is f(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -381 - -386. Solve 5110*l**5 - 260*l - 5975*l**3 + 1000*l**4 - 198*l**h - 3764*l**2 + 3213*l**5 + 834*l**2 + 40 = 0.\nAnswer: -2\/5, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.35 + 3.85. Suppose -7*g = -2*g - 50. Suppose 5*x = -5 + g. Which is the nearest to x? (a) w (b) -0.08 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255195, 510371, 765531, 1020675?\nAnswer: 1275803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 15) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**2 - 9*n - 16. Let t(m) = 7*m**2 + 10*m + 21. Determine 4*o(p) + 3*t(p).\nAnswer: -11*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1412*h - 1064176 + 1064176)*(5*h + 3*h**3 - 5*h) to the form r*h**3 + a*h + c*h**2 + k*h**4 + l and give k.\nAnswer: 4236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5378901696 to 5 dps.\nAnswer: 0.53789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + (-6)\/(-12). Suppose h = -3*o + 1 + 11. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3502 (base 7) to base 5\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33208 divided by -4151?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mngkmcmmmmkmkmk. Give prob of sequence mm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 25366?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1250))\/sqrt(10))**2 - (-2 + sqrt(5) + 2 - (-2 + sqrt(5) + -1)).\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 15. Suppose m*b - 2*w + 51 = 173, -2*b + 2*w = -50. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 7*h + 2*h**2 + 0*h**2 - 3. Give l(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594469?\nAnswer: 594469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 7*b - 3*b + 3*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 + 5*y - 2. Let u be q(5). Let j = u - -47. Let t(d) = d**3 + 6*d**2 + 5*d + 6. Give t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:03 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**3 - 1676*q**2 + 21*q + 14. Let w(x) = -15*x**3 - 1678*x**2 + 18*x + 12. Give 6*u(z) - 7*w(z).\nAnswer: 3*z**3 + 1690*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5525*c**3 - 3602*c**2 - 10*c - 5. Let l(g) = -8287*g**3 + 5403*g**2 + 16*g + 8. Let d(p) = -5*l(p) - 8*u(p). Find the third derivative of d(a) wrt a.\nAnswer: -16590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39940 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10728?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -63181.\nAnswer: 24\/63181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 1.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*f**2 - 82*f**4 + 94*f**2 + 138*f**4 - 55*f**4 + 2*f to l*f**3 + n*f**2 + v*f**4 + s*f + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/552 - (2\/12 - 5\/15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0123*-0.059\nAnswer: 0.0007257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.853, 4, -0.11, -2\/25 in descending order.\nAnswer: 5, 4, 1.853, -2\/25, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1059*g**4 - 11*g - 104. Let o(z) = 212*z**4 - 2*z - 21. Let l(r) = -2*d(r) + 11*o(r). What is the first derivative of l(b) wrt b?\nAnswer: 856*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 218\/8 + 3\/(-12). Suppose 4*n + 2*k - 58 = 0, n - 4*k - w = -8. Let g be (8\/(-6))\/(-1)*n. Solve 4 - g = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d - 2. Determine y(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 7*w + w - 3*w**2 + w**2 in the form h + u*w + b*w**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 347 - 332. Suppose 6966 = u*c - 2799. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 + 3. Suppose -3*f - k = -10, 2*f + 0*f - 9 = -3*k. Suppose -2*q = f*q - 25. Let r(b) = -7*b**2 + 4. Determine q*r(t) - 6*m(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:19 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 825258644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 3*z**3 - 10*z**2 - 204*z. Calculate the remainder when 252 is divided by c(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(1088) + -2) - sqrt(170)\/(sqrt(10)*-2).\nAnswer: -13*sqrt(17)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 23 + 9 - 28)*(5 + 1 - 1).\nAnswer: 5*i - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-2))\/((-4)\/((-72)\/27)). Suppose -j - u*a + 11 = 0, -17 = -4*j - 3*a + 27. Calculate the highest common divisor of j and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, -1015, -1506, -1979, -2428?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, 14, -58, -7 in descending order.\nAnswer: 14, 5, 4, 2, -7, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (-4 + 4) - 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18876 divided by -3714\nAnswer: 3146\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5563733817.7 and 105?\nAnswer: 5563733712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(180\/10)\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k + 5*w, -2*w + 0*w = k - 4. Suppose 4*r = -3*x - 30, 5*x - 2*r + 19 = -5. Let q = k - x. Solve 0 = -b - 2*d, 2*b - 3*d + q = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -21. Sort -5, 1\/3, -1, y in decreasing order.\nAnswer: 1\/3, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2 - 22829484*q + 130296334926564 = 0.\nAnswer: 11414742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 16*r - 87. Let m be k(-21). Calculate the greatest common divisor of m and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.9 * -165104.\nAnswer: 1304321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 172*r - 4. Let a(v) = -7*v. Calculate o(a(p)).\nAnswer: -1204*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*u - 178, -2*l + 16 = 2*u - 66. Is l\/3*15\/10 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/56 and 62\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30810 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102611682 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72659?\nAnswer: 113, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 29. Let t = u - -100. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -700 + 715.07. Let a = 15 - w. Let q = -0.17 - a. What is the biggest value in 0.2, q, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-24)\/(-192))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*a - 120734, -49367 - 252497 = -5*s + 2*a. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -481, -471, -447, -403, -333, -231?\n\"Answer: l**3 + l**2 - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**4 - 2*x**3 - 8*x**2 - 4*x + 6. Let y(a) = 6 + a**2 - a - a**4 - 2*a**2 - 5. Let u(m) = -n(m) + 6*y(m). Factor u(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, c: 6, e: 2}. What is prob of sequence eoo?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1526*f + 633*f - 1024*f = 516*f - 177609 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b6c1 + -3e?\nAnswer: 1b682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(3\/22))*r)**17\/((r\/(r\/(r\/((r\/((r*r**26\/r*r)\/r))\/r*r))*r))\/r**(19\/4)) assuming r is positive.\nAnswer: r**(-993\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3244*u - 155753. Determine s(-48).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/21919766 and -13\/1133781.\nAnswer: 65759298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - -2178.12?\nAnswer: 2179.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -118, -263, -476, -763, -1130, -1583, -2128?\n\"Answer: -z**3 - 25*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*d - 6, -6*d + d + 4*n = 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025709?\nAnswer: 3, 53, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14 and 131\/222?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*p - 9*p - 363 + 1023 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846000.4ml to litres.\nAnswer: 846.0004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -894 divided by -3.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 22. Let p be d(-22). Suppose -18*j - 31 - 5 = p. Let t(y) = y**3 + 6*y**2 + 4*y - 4. Let b be t(-5). Sort b, 3, j in decreasing order.\nAnswer: 3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -290 + 301. Suppose b*d - 9575 - 8960 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17890823 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {v: 1, r: 3, g: 1, d: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = -3*j, -5*j = -23*t + 18*t - 10. Suppose 0 = -4*y - 1 + 9. Let p be 20\/y + 1 + -3. Solve -p = -3*h - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v\/v**(1\/4)*v**(3\/2)*v*v**(-5\/6)*v)**22)**(-2\/35) assuming v is positive.\nAnswer: v**(-187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*c - 43, -5*c = 4*z - 10 - 75. Let a(f) = -f**2 + 20*f + 4. What is the remainder when a(18) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 116*y - 2. Let x be p(-2). List the prime factors of (x\/(-6))\/(2\/2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11919 is divided by 2959.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 1, i: 10, s: 1, e: 2}. Give prob of sequence de.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*i - 41*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyc. Give prob of sequence cy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:40 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225271, -1802351, -6083005, -14419021, -28162187, -48664291, -77277121?\nAnswer: -115352465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3 + 9. Let a(y) = y + 1. Let t(v) = -v**2 - 11*v - 46. Let n(w) = k*a(w) + t(w). Factor n(l).\nAnswer: -(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -1\/5, 6\/205 in decreasing order.\nAnswer: 6, 5, 6\/205, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + -18*(-12)\/(-18) + 75 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(229*h**2 + 635*h**2 + 673*h**2).\nAnswer: -1537*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 347? (a) -349 (b) 0.4 (c) -0.03 (d) 2\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/5, -5, 4, 0.117, 5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52*376\/(-1222) - 442\/28\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 16956 = 6*n. What is the tens digit of n*(-6)\/(-12)*(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 11706122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.96 + 0.56. Let x = 34 + -376\/11. Which is the biggest value? (a) u (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose -f*y = -0*y - 6. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86\/5 - 18. Which is the smallest value? (a) -3 (b) 0.01 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2000 - 2000.1. Which is the closest to 1\/4? (a) 0.4 (b) -2 (c) 73 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let o = 1.6 - 0.6. Let k = o - -3. What is the closest to 0 in -1\/2, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748000 rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8169\/13 + 628. Sort l, -4, 1, -0.2 in increasing order.\nAnswer: -4, l, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/7 (c) 0.1 (d) -24 (e) -5 (f) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 9 = m, 5*m - 37 = -4*r. Suppose -l = 0, 4*t + 10 = -r*l + 42. Calculate the smallest common multiple of 4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/11310278 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*3)**2 + (sqrt(7) + -4)**2*2 + 4.\nAnswer: -16*sqrt(7) + 6350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + 19.79. Let o = 28.9 - x. Let i = o + -9. Sort i, 1, -2.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 202, 466, 834, 1300, 1858?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 830 = -2330. Calculate the smallest common multiple of 22 and j.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(1729\/(-78) + (-2)\/(-12)). What is the third smallest value in -48, w, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 0.4, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4760, -38112, -128610, -304820, -595308, -1028640?\n\"Answer: -4761*j**3 - 7*j**2 - 4*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200.9 and 222861?\nAnswer: -44772774.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*g + 84 - 166 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92, 162, 232, 302?\n\"Answer: 70*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2661*d - 18630. What is y(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9426*b + 3213*b + 3162*b + 3206*b - 5*b**2 - 650.\nAnswer: -5*(b - 26)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777935.\nAnswer: 5, 157, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3467\/1460 - 42\/73. Calculate the common denominator of w and (414\/(-4))\/(-3) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35427191.\nAnswer: 19, 1864589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86225974*i**2 - 127227964*i wrt i.\nAnswer: -172451948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o**3 + 99*o**2 + 9*o - 2. Calculate the remainder when 45 is divided by v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143\/14 + -61\/7. Which is smaller: a or -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6846 divided by -2282.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8.9994. What is c rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 times -2.3\nAnswer: -3726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -2*k - 62. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4\/499, -46, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10187\/3 + -3394. Determine n, given that -1\/3*n**4 - 4\/3 + 0*n**3 + d*n**2 + 0*n = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23372.\nAnswer: 2, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) 5 (c) 0 (d) -18 (e) -2\/9 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - 11*n**2 - 9*n - 4. Let a(h) be the second derivative of h**5\/10 + 5*h**4\/12 + 2*h**3\/3 + h**2 - 41*h. Give 9*a(v) + 4*i(v).\nAnswer: 2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 29*z - 45. Let v be h(-14). Suppose -37*j + 40*j = v. What are the prime factors of j?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -612, -918?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - -1) + -2 - (11 - 27)) + (0 - 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.205984 or -40?\nAnswer: -0.205984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/10)\/(d**(4\/3)*d*d*d)*d**21\/(d**(1\/13)\/d) assuming d is positive.\nAnswer: d**(6899\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*n - 889 = 5*n - 7*n - 895, -3*l - 3*n + 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*b - 223, -4*o + 353 = 4*b + 69. List the prime factors of o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - b**3 - b - 2 + b + 3*b to t*b**2 + d*b + v + f*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.064488 + -0.115611. What is v rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15432172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13886361\/1160 - 11971. Let c be (-3)\/(-6380)*(-7737)\/(-2). Let a = c - i. Find the common denominator of a and -13\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5\/4 + 603*j**4\/2 + 4875*j**3\/4 - 603*j**2\/2 - 1218*j = 0.\nAnswer: -4, -1, 0, 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23056 (base 9) in base 15?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660831076?\nAnswer: 2, 977, 169097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-375)\/((-345)\/23)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -n, 5*n - 5 = 2*g - 8. Factor 13*m**4 + 40 - 25*m**g + 125*m + 17*m**4 + 135*m**2 + 37*m**3 + 18*m**3.\nAnswer: 5*(m + 1)**3*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475950928.\nAnswer: 2, 6793, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Solve t*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3020.41+-64.275\nAnswer: -3084.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919159 to the power of 1\/2, to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 16*g**2 - 17*g + 56. Let y be x(17). What is the highest common divisor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -628 - -1385. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 119*n**3 - 2*n + 121*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38037.\nAnswer: 3, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g + 172. Let f(d) = -4. Calculate 5*f(l) + k(l).\nAnswer: 13*l + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -19860?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.98 + -0.02. Let u be (-546)\/45 + 6\/45. Let j be ((-1)\/u)\/(6\/(-16)). Which is the third biggest value? (a) j (b) g (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*0\/1. What is the second derivative of -y - 4*y**2 + 0 + q wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 147. Let h(p) = p**3 - 5*p**2 + 2*p + 2. Let i = -25 + 27. Let s(l) = 21*l**i - 179*l**3 - 9 + l - 9*l + 174*l**3. What is r*h(j) - 2*s(j)?\nAnswer: j**3 + 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 479695 = -5*m, -449*n + 287865 = 3*m - 446*n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/15 + 416*g**4\/3 - 228782*g**3\/5 + 13628900*g**2\/3 + 578635648*g\/15 + 78651328 = 0. Calculate g.\nAnswer: -4, 210, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(175) - (1 + sqrt(7) + -3 + sqrt(7))).\nAnswer: 2 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/2 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 97 = -94, 5*k - 85 = -5*q. Solve 6*r = -4*d + 4*r + q, 5*d - 4*r = 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 1410*g + 3653 with respect to g.\nAnswer: -6*g**2 + 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 13 + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**3 - n**2 + 6*n + 2. Let u be m(-3). Calculate the highest common factor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332 * -22775\nAnswer: -7561300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**8\/14 + w**4\/12 - 3*w + 5. Let i(g) be the first derivative of h(g). What is the third derivative of i(a) wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13856 (base 10) in base 13?\nAnswer: 63cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1900\/12)\/5*3 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 - -25375?\nAnswer: 25476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 15*h = 32. Let s(q) = -2*q + 3. Let b be s(h). Let i be (-14)\/(-30)*2\/(-7). What is the closest to 2 in i, -3\/7, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356.8 + -69.8. Let c = n + -285. What is the third biggest value in 0, 11\/3, -2, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 194, -82, -526, -1132, -1894, -2806, -3862, -5056?\n\"Answer: s**3 - 90*s**2 - 13*s + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Suppose -6*f + 8*f - j = 0. Let b(c) = c**2 - 3*c - 2. Let g be b(4). Solve 3 = -3*v - g*n, -n - f = 2*v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x - 4. Suppose -2*r + 1 + 3 = 0. Suppose -r*h + 3 + 3 = 0, 25 = -4*v + 3*h. Calculate d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4)*3\/((-60)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + j)*(2 - 1 + 10)*(1 - 1 + 2*j)*(-785 + 785 - 145*j).\nAnswer: -6380*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-5 - sqrt(10) - sqrt(10))\/((2*sqrt(6))\/sqrt(3)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26419333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35581, 142258, 320037, 568912, 888877, 1279926, 1742053?\n\"Answer: -g**3 + 35557*g**2 + 13*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.5, -8, 11.7, -0.1, -0.36?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 11*q + 10. Let l(a) = -2*a**2 - 16*a + 7. Let s be l(-8). Let g be v(s). Let x = -16 - g. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37344 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 9095647.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (6\/27 + (-28)\/(-36)). Suppose 4*w - t*u - 2218 = 0, -3011 = -5*w + u - 240. List the prime factors of w.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + r - 155 + 31, 127 = -o + 4*r. Let d be (-22)\/(-6) + 205\/o. Solve 4*x - 6 = d*x, y + x = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.194487 litres to millilitres.\nAnswer: 8194.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*l + 15600000. What is l rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(3*q + 3*q - 5*q) - 14*q + 17*q - 16*q - 18*q + 0*q + q + (-4*q + q + q)*(2 - 2 - 1) + 10*q - 5 + 5)*(-4*q**2 - 4*q**3 + 1 + 4*q**2).\nAnswer: 68*q**4 - 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*d + 269, -2*p = 4*d - 158 + 36. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6 - 64\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - -16) + -2 - (127 - 126)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2050283\/40 - -51254. Calculate the common denominator of i and 7\/664.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (100\/14)\/(3*(-9)\/(-189)) is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.7 (c) -22 (d) 4509.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebzpzbq. Give prob of sequence zez.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r + 216. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let c(l) = -l**2 + 16*l + 19. Let i = -23 - -40. Let t be c(i). Let s(z) = 2*z + 6*z - 8*z + t*z. Determine h(s(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.7, -6, -0.5, 2, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422113?\nAnswer: 3, 807371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*o + 35, -23 = -i - 8*o + 3*o. Suppose 2*f - 3*m - 13 = 0, -3*f + 0*m - 18 = 3*m. Put f, i, 4 in increasing order.\nAnswer: i, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 - 16*g**2 + 24*g + 4. Let x(i) = 2*i**3 + 2*i**2 - 8*i. Let q(z) = h(z) + 3*x(z). Determine q(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*l - 87*l - 2*d - 16, 16*l - 4*d = 32. Solve -15*t - 44 - 1 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -82. Let p be 8\/(-3)*-15*f\/(-12). Let n be p*(-2)\/((-40)\/28). Calculate the greatest common divisor of 98 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205158570971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 708, 1922, 4268, 8124?\nAnswer: 13868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:11 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 34\/3, -48, -3, -2\/5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -48*(-7 - (3 + 16)) is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**2 + 131010*j + 393075 = 0.\nAnswer: -3, 26205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12005833 or -0.1?\nAnswer: -12005833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156\/8 - 18 - 2\/((-8)\/2130062) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3471 + 4359. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22*q + 16. Let f(i) = 11*i - 3. Determine 7*f(k) + 4*p(k).\nAnswer: -11*k + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -v + 3, 2*a - 243 = -35*v + 10 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 769\/2644 - 27\/661. Let p be (-66)\/(-8) - 14\/7. Factor -o*v**2 - p - 5\/2*v.\nAnswer: -(v + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1968 and 38.\nAnswer: -74784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(6\/7))\/y*y*y)**(-28))**(8\/5) assuming y is positive.\nAnswer: y**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/60 - n**4\/8 + n**3\/3 - 3*n**2\/2 - 3*n. Let k(d) be the first derivative of h(d). Determine k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7903237402 to the power of 1\/2, to the nearest integer?\nAnswer: 88900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvppvnvpnpn. What is prob of sequence nn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 41*l + 20 = 0, 0 = 3*y - 2*y + 5*l + 27 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2 + 2)*(2*b**3 - 5*b**3 + 5*b**3) + 77*b**4 + 16*b**3 - 11*b**3 - 5*b**3.\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 16. Calculate the remainder when 86 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.0076 + -39. Round g to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + 1. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 18*n**2 - 18*n - 24. Calculate b(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 183, 273, 359, 441, 519, 593?\n\"Answer: -2*g**2 + 100*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (35 - 123)\/(-22)*(-3)\/(-24)*216158 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2325 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149871393?\nAnswer: 3, 7, 241, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/4))**(-48)*(w\/(w**8\/w))\/w*w*w\/(w**2\/w) assuming w is positive.\nAnswer: w**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -9*n**5\/20 + 7*n**3\/6 + 6*n. What is the second derivative of w(i) wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207c (base 13) to base 7.\nAnswer: -16053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/6))**(1\/92)\/(j**0*j*j*j**(2\/15)))**(21\/2))**(-44) assuming j is positive.\nAnswer: j**(450681\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551231956 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 6*f**2 - f - 7. Let k = -32 - -27. Calculate the remainder when t(k) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Let k = 15015 + -75078\/5. Let x be ((-1)\/3)\/(6 + -5). What is the third biggest value in -2\/5, k, j, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -32, -5, 32, 79?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43b (base 16) to base 12.\nAnswer: -763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -4\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4970*b + 4970*b - 14897*b + 4954*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3\/(-3 + 0). Suppose -15*h + 6 = -12*h, 0 = -d - 3*h + g. Put -73, -4, d in descending order.\nAnswer: -4, d, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8065*i**3 + 8080*i**3 - 5*i - 16129*i**3 + 259 + 5*i - 259.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.066 (b) 5 (c) 2 (d) 1208 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305677 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 184 = 15*x. Let f(i) = 2*i**3 - 10*i**2 + 9*i + 4. What is the remainder when f(7) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 1. Let r = -194 - -196. Let o(s) = 5*s - s - 9*s + 5*s + r*s - 1. Determine -7*o(v) + 4*q(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w + 28. Let q be f(0). Solve -3*n - 5*g + 2 = -1, 4*g - q = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186138*r - 53852901 wrt r.\nAnswer: 186138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -11, 2\/27, 51?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4 - 13255*f**3 + 725490*f**2 - 13117140*f + 78877800 = 0?\nAnswer: -2705, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**3*x - 9*a**3 - 11*a**2 - 2*a - 2*x wrt a?\nAnswer: -36*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n - 219. Let g be v(18). Solve 0 = 3*r + g, -3*o + 5*r + 42 = 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*l = -222*l + 84. Let o be l\/(-6) + -1 + 2. Solve o*d = 9*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*d + 148*d + 29*d - 34*d to o*d + y and give o.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 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: Sort 1\/6, 3, 17069852, 4 in decreasing order.\nAnswer: 17069852, 4, 3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 2*h**2 - 4*h + 2. Give m(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) 17 (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p - 5. Suppose -5*y + 151 = 4*q, y - p*q - 9 = -2. What is the lowest common multiple of 8 and y?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4 - 4. Let b(n) = n**3 - 12*n**2 - 10*n - 54. Let y be b(13). Let m be -3 + ((-190)\/y)\/2 - 4. What is the closest to m in -4, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.0643 + -0.0643. What is the third smallest value in -58, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 104. Let i be x(25). Solve 5*r + 8*o - 3*o = 0, i*r + 2*o = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/14*946050\/(-3975).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -154. Let u be (8\/(-12))\/(22\/s). Solve -u*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0. Let t = -8.19 - -1.19. What is the third biggest value in h, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*h - 25 = 0, 3*h - 3 = 2*f + 12. Suppose f = -u - 5 + 2. Let n be u\/12 + (-39)\/(-12). What is the greatest common divisor of n and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 77. Let d = 7 - p. Let z be 3\/1 + -2 + -1. Which is the nearest to d? (a) z (b) 5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 6*m**2 + 8*m - 7. Let r be s(5). Suppose 13*t + 9*t - 264 = 0. Suppose r*c = 4*c + t. Solve 0*l = -c*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let j = 10 - 8. Let h(w) = 3*w**2 + 3*w**2 - 7*w**2 - w**j. Calculate v(h(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2163355\/546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z - 8*z - 3*z to w*z + m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (3*-1*sqrt(77) - (2*sqrt(77)*1 + sqrt(77)))\/(sqrt(56)\/(sqrt(32)\/sqrt(4)) + sqrt(56)\/(sqrt(40)\/sqrt(5))).\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -897206 divided by -448603\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 687499*p**2 + 2*p + 8. Let d be c(4). Round d to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {d: 3, t: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 551*n. Let d(k) = -55651*k. Calculate -406*c(u) - 4*d(u).\nAnswer: -1102*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = 5*h - 872. Calculate the greatest common factor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30433.4km to micrometers.\nAnswer: 30433400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246617.141 - -0.5?\nAnswer: -1246616.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 1. What is m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p**2 - 28*p + 28. Let s(y) = -4*y**2 + 3*y - 3. Let r(b) = -3*k(b) - 28*s(b). Let l(g) = 3*g - 200. What is r(l(a))?\nAnswer: 36*a**2 - 4800*a + 160000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1289364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:18 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733028665?\nAnswer: 5, 146605733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 253363, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-5 + -1 - -2). Let r be (-1 - 2) + (w - 1). Is ((-1)\/r)\/(3\/42) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - -2 - (-164)\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773 less than or equal to 5328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(176)*1 + sqrt(39)\/(sqrt(3) + sqrt(27)*-2))**2*-2.\nAnswer: -13\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 837062.5 times 0.4?\nAnswer: 334825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9062854 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 139, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/62*117\/(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 16. Suppose 7*p + k = 6*p. Let o(f) = -225*f + 228*f - 1 - 4. Let w(x) = -x + 2. Calculate p*w(g) - 2*o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1503 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/12 + -5\/12. Sort 5\/2, 2, n in decreasing order.\nAnswer: 5\/2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88941033 - 103.\nAnswer: -88941136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75672548, 75672546, 75672544, 75672542, 75672540?\nAnswer: 75672538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 251*m + 355*m - 92*m - 1060*m)*(20*m**3 - 4*m**3 - 5*m**3).\nAnswer: 11*m**5 - 11528*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 749*k**6\/30 - 745*k**3\/6 - 980*k. Find the second derivative of n(j) wrt j.\nAnswer: 8988*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:36 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.23127 rounded to two dps?\nAnswer: -54.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l + 198 + 181 = 5*o + 61, 2*l - l + 5 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3*4\/5)\/(210\/(-630)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37478 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 2*a**2 - 21*a - 3. Let c(w) = 6*w**3 - 10*w**2 + 106*w + 16. Determine 2*c(p) + 11*q(p).\nAnswer: p**3 + 2*p**2 - 19*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 206066, 824220, 1854478, 3296840, 5151306, 7417876?\n\"Answer: 206052*c**2 - 2*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*z**2 - 52*z + 62*z**3 - 8*z**2 - 28*z**3 wrt z?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 + 8 = 0. What is the common denominator of -3*z\/(-8)*-28 and -16\/23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1457*0.5\nAnswer: 0.07285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013 times 0.33?\nAnswer: -0.000429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/5 - 5932*s**3 - 55026688*s**2\/5 - 164813232*s\/5.\nAnswer: -4*s*(s + 3)*(s + 3706)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 758475888 and 2034.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + -5102711?\nAnswer: -5102763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 24 = 4*y, 2*y - 124*m = -123*m - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*b*n**5 + 2*b*n + 2*b - 3 wrt n.\nAnswer: 2880*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-35)\/(-10) + 0)*134.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000649007376 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -5 in decreasing order.\nAnswer: 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -3*a. Let w be (-4)\/(-4) + 1 - (3 - -2). Put -20, 4, w, a in descending order.\nAnswer: 4, a, w, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1208*o = -1235*o + 891 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o**2. Let s(t) be the third derivative of t**7\/1260 - 5*t**4\/24 - 5*t**3\/3 + 60*t**2. Let y(m) be the second derivative of s(m). Give h(y(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 24 - 10 + (6 + 0 - 3)*(-2 + 6 + 0))*(2*x + 3*x + 2*x) as y + h*x and give h.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 302 = -266. Solve s = -u - 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -13\/41, 2, -1\/10, 4 in decreasing order.\nAnswer: 56, 4, 2, -1\/10, -13\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/33 - 4\/(-22). Let z(o) = -o**3 + 2*o**2 + 3*o. Is 5 a factor of z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2705345784 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/28880256 and 3\/88.\nAnswer: 317682816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o - 2. Let y be m(0). Let w be (y\/2)\/((-2)\/12). Suppose w*v - 2*v + 3 = h, 5*h = -3*v + 15. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25125*f + 25121*f = 4*s - 72, -2*s + 29 = -5*f for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r + b, 10 = 5*r - 3*b - 0*b. Let l(v) = -2*v**2 + 3*v + 2. Let f(u) be the first derivative of -u**3\/3 + u**2 + u + 9. Give r*f(o) - 3*l(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**3*y + 283392*g**3 - 11*g**2*y + 3*g**2 + 4*g*y + 105*y - 8 wrt g?\nAnswer: 18*y + 1700352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/41, 5, -16, -6\/355?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*2*-2.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172691 is divided by 1028.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -440196, 9, 0 in ascending order.\nAnswer: -440196, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12103 and 2101463.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -461, -2088, -4797, -8588, -13461, -19416, -26453?\n\"Answer: -541*y**2 - 4*y + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25013 is divided by 133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert b957 (base 12) to base 9.\nAnswer: 30844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 3}. What is prob of sequence lp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 22\/55*(-12)\/(-8)*(-230)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 7. Let t(x) = -6*x - 16. Let q(i) = -2*t(i) - 5*u(i). Determine q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501814 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0*3\/(-6))\/((-96)\/32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 5*u**2 - u**2 + (u - u - u)*(-6*u + u + 8*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3)*x)\/x)\/(x\/(x**(-1)\/x)))**(-11)*(x\/(x\/x**2)*x\/((x\/(x*x\/(x*((x*x**(1\/4))\/x)\/x)))\/x))**(-2\/49) assuming x is positive.\nAnswer: x**(5371\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -75. Factor 10\/11*s**2 + 2\/11*s**4 + x - 4\/11*s - 8\/11*s**3.\nAnswer: 2*s*(s - 2)*(s - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2055 (base 11) to base 12.\nAnswer: -16aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 30\/18)*14\/35*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1941*c + 7648*c + 1009*c = -3471*c + 50935 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877271 divided by 56887?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -130.41. Let p = k + -0.41. What is the nearest to 2 in p, -5\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 6*j**2 - 6*j - 6. Let c be 15\/(-5)*(-1)\/3. Let a(h) = -h**3 - h**2 + h + 1. Determine c*v(b) + 6*a(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/6)\/c**1)\/((c\/(c\/(c**(5\/3)*c)))\/(c*c**(-3\/5))))**(-1\/19) assuming c is positive.\nAnswer: c**(73\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 plus 62722?\nAnswer: 62716.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/12 + 11\/(1 - 0). Calculate the greatest common factor of p and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + 1 + (-2 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*c - 119*c = 240 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2 + 17*i**2 - 4*i + 2*i - 3*i wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 + 6*c - 5. Let k be n(3). Suppose -3*u + v + v = -12, -u = 4*v - k. Solve 5*z = 1 + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 17*j**2 - 23*j + 47. Let t be v(13). Let f = t - 258. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -402098, -804209, -1206326, -1608449, -2010578, -2412713?\n\"Answer: -3*u**2 - 402102*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*b - 2156, 3*b + 12 = 9. Let o = -527 - l. Solve 13 = 4*c + 5*t, -5*c + 2*t + o - 3 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3786*k**2*z + 61*k*z - 204117*z - 9 wrt k.\nAnswer: 7572*k*z + 61*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(1 + l - 4 - 4*l).\nAnswer: 9*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/135)\/1 + (-8)\/36. Let a be (56\/144)\/(10\/(-4)). Let d = a + m. What is the second biggest value in -0.3, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 2*k**3 + 5\/12*k**4 + 0 - 1\/12*k**5 - k**2 + 0*k. Let x(v) be the first derivative of y(v). Differentiate x(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 3. Let g = i + -11. Let s be 0 - (-10)\/12 - 1. Which is the third smallest value? (a) s (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 563 + -561. Sort -1\/3, 0.04, s, 2\/5 in increasing order.\nAnswer: -1\/3, 0.04, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/12)\/(-3 + (-217)\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 49 = 3*w, -25*b + 26*b - 3*w = 1 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + a + 24 = 9*l, -l - 1 = -6*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 32 = k. Let b = -267 + 470. Let p = b + -207. What is the second biggest value in 3\/5, k, p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x\/x**1)*x)**(4\/5))**(2\/25)*(x**(2\/13)*x**(1\/3))\/((x**(1\/4)\/x*x)\/x)**(-6\/25) assuming x is positive.\nAnswer: x**(1223\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -627030 divided by -125406?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.6. Let r be 125 - 126 - 12\/4. Which is the biggest value? (a) 1.6 (b) s (c) r (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109707 and 6025446?\nAnswer: 78330798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32 - 25) + 1*-4. Suppose n*c - 6*c + 7667 = 2*i, 5*i - 19230 = 5*c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -277, 14\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -18?\nAnswer: -67\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 78. Let g be y(41). Let m(o) = 6*o**2 - 10*o - 5. Let z(u) = -13*u**2 + 21*u + 11. Give g*z(k) - 9*m(k).\nAnswer: -2*k**2 + 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.06, 1, 2\/5, -0.5 in ascending order.\nAnswer: -0.5, 2\/5, 1, 1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30336 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:14 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*c + c - 43, -c = 5*f - 3. Let p(h) be the second derivative of 5*h**3\/6 + 27*h**2\/2 + 38*h. Let j be p(-4). Solve -3*g = c + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 69 = 349. Suppose 5*c = 3*v + 83 - 18, 2*v + d = 5*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 657*k + 1709*k + 13134 + 35379 + 34297 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 7. Let g(u) = 4*u + 15. Let z(v) = -6*g(v) - 11*k(v). What is the units digit of z(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12099 - ((-165)\/44)\/(15\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dc5 - 3b2?\nAnswer: -2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 + 3*l - 4. Let c(m) be the first derivative of 2*m**3\/3 - m**2\/2 + 2*m + 1469. Give 7*c(x) + 4*f(x).\nAnswer: -2*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -167751*o + 335482. Determine m(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111*y**2\/2 - 37179671*y + 669904.\nAnswer: -(y + 669904)*(111*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 25 = -5*u - 6*i, 4*i = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/2 + 120*s + 774 = 0?\nAnswer: -6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -9, 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -58. Let k = 119 - 110.1. Let w = k + x. Which is bigger: -15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 996 + -5975\/6. Let u(z) be the third derivative of 1\/30*z**6 - d*z**4 - 2\/3*z**3 + 0*z + 6*z**2 + 1\/15*z**5 + 0. Solve u(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -835154\/15 - -55636. Let i = j - -17161\/435. What is the common denominator of i and -91\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by -117?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -283, 3, -2, 4, 191.\nAnswer: -283, -2, 0, 3, 4, 5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 645*j + 74190. What is h(-115)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-15)\/((-2430)\/(-12))*-9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 - 14*b + 28*b - 12*b. Let k(o) = -o + 1. Suppose -u + 20 = 4*u. Suppose -u*c + 4 = 8. Give c*k(r) - l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((-64)\/(-22))*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 41469077?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 37, 4\/13, -1, 2, -0.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*d - 10, -703*d + 2 = -4*l - 702*d. Let y(r) = -2*r**2 + 3*r. Let v(k) = k**2 + k. Give l*y(w) + 3*v(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*h + 8*h - 295, h - 248 = -4*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -5*b**4\/3 + 46*b**3\/9 - 2*b**2 - 196. Factor a(o).\nAnswer: -2*o*(o - 2)*(10*o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*o + 80, o + 6 = -4*i + 2. Suppose 12*t + o*t = 0. Determine l, given that t - 2*l**2 + 2\/3*l**3 + 4\/3*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -31*l**2 + 88*l - 13. Let g(s) = 11*s**2 - 30*s + 4. Give -6*f(t) - 17*g(t).\nAnswer: -t**2 - 18*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 32 = 7*f + f, -3*f + 12 = -5*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(2\/11)*c)\/c)*c))**37)**(18\/11) assuming c is positive.\nAnswer: c**(-5994\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.2 (c) 5 (d) -1\/48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5967 and 513.\nAnswer: 113373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401377 is divided by 80253?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 54*v**2 + 56*v = 0. Calculate v.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013346 to six decimal places.\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/240 + a**5\/20 - a**4\/4 + 2*a**3\/3 - 10*a**2. Solve h(j) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7492.99 to the nearest 10.\nAnswer: -7490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3793943 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, 0, 3, 153 in ascending order.\nAnswer: -3, -1, 0, 3, 4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -578*h**2 - 3*h**3 - h**3 - h**3 + 559*h**2 - 23*h wrt h?\nAnswer: -30*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.3 - -1.3. Let s = j - -29.4. Let z be 0\/(-1 - 0\/1). Which is the nearest to z? (a) -2\/3 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let t = f + 5. Let o = t - -5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 576\/57 - 2\/19. Let n(p) be the first derivative of -p**3\/3 + 5*p**2 + 2*p - 7. List the prime factors of n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10477, 18357, 26237, 34117, 41997?\nAnswer: 49877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*z + 10, 6*d + 4*z + 11 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18170801, -18170800, -18170799, -18170798, -18170797, -18170796?\nAnswer: -18170795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-128)\/(-28) - 3\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 0. Solve 3*a + h = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y**3 + 8*y - 9. Give f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/(sqrt(200)*-2 + sqrt(200) - sqrt(8)) + (-3*(2*sqrt(567) + sqrt(567))*3)**2.\nAnswer: -sqrt(7)\/2 + 413343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 - -196.2. Let y = -25 - s. Let q = 0 - y. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3 + 12*p + 1486. Suppose 2*h - 9 = -1. Let a be f(h). What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by 5.\nAnswer: -176\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 651 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (-3 - -7) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713547 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((80\/40)\/(36\/(-1)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let n be -6*v*1\/4. Let u = 8 + n. Solve -2*g + 0*g - q - 5 = 0, -3*g + u*q - 14 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/25)\/(-12) + 668\/(-501)*(-6)\/4.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.8, 5, 6 in descending order.\nAnswer: 7, 6, 5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6930 = -25*d - 136*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n - 2. What is the smallest common multiple of q(-3) and (-2)\/(-7) + 0 - 267\/(-21)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594004193.\nAnswer: 43, 103, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 28 = -5*g, -16*g = -15*g - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3504381221 to the nearest integer?\nAnswer: 59198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 96 + 8. What is the highest common factor of 110 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 1 - 1)*(1 + 4 - 4) + 0*i + 0*i - i)*(0*i - 5*i + 23*i)*(-2 + 5*i + 0 - 3*i) + 2*i**3 - 3*i + 3*i.\nAnswer: -70*i**3 + 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4061, 7743, 10601, 12209, 12141, 9971, 5273?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4))\/i**(3\/8)*i**(-4\/9)\/i**(-1\/5) assuming i is positive.\nAnswer: i**(47\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.72 - 14?\nAnswer: -22.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1, 0.2, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -219*(-40)\/24 + (-1 + 2)*-2 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115.9 and 274?\nAnswer: -31756.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 252.40248 to the nearest integer.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 30 + 11 = 32 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -307 + 310. Suppose 2*a - 2187 = -3*d, -w*a - 2*d + 1371 = -1907. Does 106 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 8*k + 9*k + 44*k to x + y*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 14.4, 4, 0, -3, 0.19, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 26*r**2 - 55*r - 602. Determine l(-27).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3962 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-12)*h*h*h*h)\/(h**(5\/7)\/h))\/(h**11)**(-1\/20) assuming h is positive.\nAnswer: h**(-863\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1730302 by -5.\nAnswer: 1730302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2150295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 24 - 14*h**2 + 17*h**2 + 23. Determine n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400.76 rounded to 0 dps?\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 - (-34 - -49 - 23 - (0 - 13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/27 and 67\/2565.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 758253977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(726) + -6*sqrt(726)*1 + sqrt(726))\/(sqrt(18)\/(sqrt(6)*1*-1)) + -2)**2.\nAnswer: -176*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-133 - -143) + (8 + -6 + 2 - 105)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5663704929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 - 3\/4*c + 1\/4*c**3 + 1\/2.\nAnswer: (c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.5 + -11. What is the second smallest value in 4\/7, -2\/11, l, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3181*v - 3919*v + 83348 = -30252 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -411 (base 13) to base 10\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62532 is divided by 8861?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/153123 and -17\/27.\nAnswer: 1378107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 2}. Give prob of picking 2 l.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 - -6. Does -0.1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945132.\nAnswer: 2, 3, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -321, -335, -349?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 117988*x - 472045. What is v(4)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.0963ml in litres?\nAnswer: 0.8950963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72822745 is divided by 165.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 48898*q + 97809. Calculate j(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(24\/280*(-49)\/42). Solve u*t = 0, c + 1 = -0*c - 2*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 1, v: 1}. What is prob of sequence ta?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 - 7*x**4\/24 - 13*x**3\/6 + 8*x**2. Let n be i(9). Put 3, n, -4 in decreasing order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.309*1.293.\nAnswer: 75.393537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let c(j) = 289*j**2 + 3*j. Determine h(c(g)).\nAnswer: 289*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2101)\/770 - -2) + 978\/60 + -16\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649 - 0.06.\nAnswer: -649.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -13. Let s(q) = q**3 + 21*q**2 - 20*q + 43. Let j be s(-22). What is the closest to j in u, 3, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*o = 6*y + 16, 50 = 5*y + 5*o. Solve -3*x = y*n + 12, -5*x + 3*n + 15 = 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/136617 and -38\/1521?\nAnswer: 5328063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 6*b**2 - b**2 + (b - b + 2*b)*(0*b + b - 3*b) + (-6*b + 3*b - 15*b)*(78 - 6*b - 78).\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-14))\/(5\/(210\/9)). Suppose 13089 - 152913 = -t*m. Suppose 0 = 16*y + 11900 - m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*l = 9*f - 480, -f + l + 99 = 0. Calculate the greatest common divisor of 329 and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(1\/25))*i**(-1\/26) assuming i is positive.\nAnswer: i**(1\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-3 + 3)*1 - -8. Let u(n) = n - 1. Let f(j) = j**2 - 9*j + 8. Let i(h) = o*u(h) + f(h). What is x in i(x) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 81 = -5. Suppose -u + h = -2*s, -2*s + u + 25 = -4*s. Let o = s - -99. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-639)\/(-852)*(-2)\/18.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 93*d - 1 - 9)*(2*d + 3*d - 3*d).\nAnswer: -186*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*s + 68, 0 = 14*s - 34*z + 29*z + 108 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + k - 24, 0 = -3*k + 2 - 14. Let c = 28 + b. Suppose -1 = -m + 6. Calculate the highest common divisor of m and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40570 is divided by 114?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*f = 128032 + 444936, -3*h = -4*f - 429704. What is h rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - (-140)\/25. Suppose 0 = -u*p + p + 20. Let d(s) = 4*s - 5. Calculate d(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11712 and 153354.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*l + 278. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119033381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o. Suppose 2*y - 23 = 5*y - 4*h, -5*y = 2*h - 5. Let u be q(y). Solve 2*n - c - 10 = u*c, 3*n - 7 = -2*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72282829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5 + -7.2916143.\nAnswer: -0.7916143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + (sqrt(4)\/sqrt(2) - sqrt(2))*-1)**2 + (-5*(sqrt(32)\/sqrt(2))\/sqrt(8))**2)*5.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -517*i + 516*i + 11, -17*i + 66 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r. Let w(s) = -5*s**2 + 8*s - 12517. Let i(f) = -w(f) - 6*x(f). Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1234?\nAnswer: 370.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:42 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3814 + 3831 - 13*t**2 - 11463 + 3818.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 55 + 18*s**3)*(1 + 2 - 1) + (2*s + 0*s - 4*s)*(-2*s**2 + 3*s**2 - 2*s**2) in the form w*s + g*s**2 + h*s**3 + z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**2 - 22*r + 28. Let w be y(-4). Let z(f) = f**2 + 16*f - 4. Calculate z(w).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24713, -24692, -24643, -24554, -24413, -24208, -23927, -23558?\nAnswer: -23089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:17 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*i - 85*i + 13*i - 49 + 10*i + 211.\nAnswer: -4*i + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112245103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*c**2 + 410*c**2 + 0*c**4 + 1 + 2*c - 3*c**4 + c**4 - 3 in the form m*c**4 + s*c + p*c**3 + u + n*c**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15 + 0*h**2 - h**2 + 15. Let k(y) be the second derivative of 2*y**3\/3 - 1252*y - 1. Determine k(i(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**3 - 8*c - 12 + 1\/6*c**4 + 0*c**2. Let r(w) be the first derivative of t(w). Let x(y) = -y. Give x(r(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 217 = 4*n, -2*y + 71 = -n - 14. What is the greatest common divisor of y and 3075?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 1\/4*o**5 + 4*o + 0 + 0*o**3 + 0*o**4 + 1\/2*o**2. What is the derivative of t(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x - 3*v + 1394, -1392 = -4*x - 4*v. Let y = -309 + x. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(288)*-2 + -1 - (sqrt(288) + -1)*2 - (-5 + sqrt(288)*-1 - sqrt(288) - (sqrt(288) + (sqrt(288) + 0)*6))))*4)**2*6.\nAnswer: 57600*sqrt(2) + 693600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 2*a - a + (-2018 + 962 + 95)*(0*a + 2*a - a) as b + j*a and give j.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**5 - 3*w**4 + 50*w**3 - 199897*w?\nAnswer: 120*w**3 - 36*w**2 + 300*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.161203 - 13126.39.\nAnswer: -13126.551203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from slxksssslsxs.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 38 + 142 = 0. Let u be -5*(m\/(-10))\/(-6). Solve -u*v + 14 - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10099 divided by 13736\nAnswer: 10099\/13736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 322\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z + 2. Let j(g) = -g + 1. Let y(q) = -3*j(q) - u(q). Let w(k) = 14*k + 8. Give -5*w(r) - 8*y(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 131*h - 655. Let a be u(5). Let p(f) be the first derivative of 20 + 1\/5*f**3 - 3\/5*f + a*f**2. Factor p(q).\nAnswer: 3*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + d + 6 = 0, 315 = 3*d + 318 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715811269?\nAnswer: 13, 362754713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1220*7347\nAnswer: 8963340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 2*l**2 - 1251 + 1251 - 96*l**3.\nAnswer: -96*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213244 (base 5) to base 7.\nAnswer: -30232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 25 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 3*p + 123, -10*p = 138*h - 139*h + 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(-4 - t + 4) + 4*t - 5*t - t + t - 4 + 0*t - 1)*(7*t - 8*t + 12*t).\nAnswer: -33*t**2 - 55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 4*v**2 - 6*v - 1. Let l(b) = b + 12. Let c be l(-7). Let g(z) = -4*z**2 + 37 + c*z**2 - 37 - z. Let r = -13 + 19. Calculate r*g(u) - i(u).\nAnswer: -2*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 149922 and 1.45.\nAnswer: 217386.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m - 77*m - 8*p = -86970, -4*m + 4*p + 174080 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 512697 - -1?\nAnswer: 512698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 764. Let m(i) = 10*i**2. Calculate m(c(l)).\nAnswer: 160*l**2 + 61120*l + 5836960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {j: 3, u: 1, e: 1, y: 3, n: 2, a: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3 + (-2)\/(-6). Let o(n) = 6*n**3 + n**2 + n + 1. Let m be o(u). Put 4, -1, m in decreasing order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 84 = -16. Suppose -20 = -d + 3*r, -d - 10*r + s = -11*r. Solve 5*q + d = 5*n, -3*q = -q + 5*n - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:34 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:43 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, w: 3}. What is prob of sequence uuw?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -37.\nAnswer: -624\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*v + 119711 = -1275*v - 1107*v for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4 = -2*s - 4*j, 3*j + 8 = 4*s. Suppose 0 = 4*t - 2*t - s. Let p = -45 + 313\/7. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*f + 243 + 67. Suppose -2*n + f*a - 2*a = -2547, 0 = -2*n - 2*a + 2562. List the prime factors of n.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 2756*k - 343875.\nAnswer: -(k + 131)*(k + 2625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (0 - -1)*-2. Suppose 0 = -y + 4. Suppose a*b - y*b = -52. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - (sqrt(132) + sqrt(132)*2 + sqrt(132))) + sqrt(132))\/sqrt(12) + 1.\nAnswer: 1 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/z)**45*((z*z**1)\/z)**(-3\/25) assuming z is positive.\nAnswer: z**(-1881\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 7. Let n be u(5). Put -3, 11, n in increasing order.\nAnswer: -3, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15636472?\nAnswer: 2, 71, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.3. Let b = v - -1. Let x = 0.7 - 0.2. Sort -3, x, b in ascending order.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 0*h**2)*(1 - 3 + 1).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/40 and 55\/10572?\nAnswer: 105720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*u + 124, 0 = -u + d - 29 + 97. Is u < 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3359117, 3359123, 3359125, 3359117, 3359093, 3359047, 3358973, 3358865?\n\"Answer: -a**3 + 4*a**2 + a + 3359113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281319666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 31 + 11. Let i(y) = -y - 12. Let o be i(k). Let w = 0 - 2. What is the biggest value in 0.3, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23642696 rounded to four decimal places?\nAnswer: -0.2364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 0.3, 5, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6777957l to millilitres.\nAnswer: 677.7957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/8)\/l**(6\/7))**(-20\/3)*(l**9\/(l*l*(((l\/l**12)\/l)\/l)\/l*l*l))**(-1\/8) assuming l is positive.\nAnswer: l**(-139\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000352 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 21. Suppose 0 = g + 3, -5*i + 0*g + 4*g + 62 = 0. Calculate the least common multiple of i and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24208)\/(-102))\/(3*(-76)\/171))\/2\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**2\/2 + 147*l\/4 + 129\/4.\nAnswer: 3*(l + 1)*(6*l + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + 4 + -8 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 5 + -1 - (-7 - 5830). What is the highest common divisor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -p - 8*m, -6*p + 3*m = -582 + 585 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Suppose 18*s = -30 - 6. Sort s, r, 0 in increasing order.\nAnswer: s, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 34*j**3 + 30*j**2 - 21*j + 5291. Let h(b) = 80*b**3 + 60*b**2 - 45*b + 10582. Let r(m) = -7*f(m) + 3*h(m). What is the derivative of r(a) wrt a?\nAnswer: 6*a**2 - 60*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m + 421*m**2 - 31 + 843*m**2 + 449*m**2 + 33*m**2 wrt m?\nAnswer: 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10567, -10569, -10571, -10573, -10575?\n\"Answer: -2*b - 10565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -4.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*(sqrt(684) - (-3 + sqrt(684))) + sqrt(684))**2 + sqrt(684) + (sqrt(684) - 3*sqrt(684)) + -3)*-2.\nAnswer: -2008 + 444*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**6\/15 - 3*d**4\/2 + 4*d**3\/3 + 12*d**2 + 110*d. Factor f(l).\nAnswer: 2*(l - 2)**2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 + 11*w**3 + w**2 - 3*w**4 + 13 + 4*w**3 - 10*w**3 to the form u + t*w + f*w**2 + z*w**3 + k*w**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - (-13 - (-4 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 41. Let i = q - 14. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/7 + 12249*k**2\/7 + 923481*k + 124601841 = 0.\nAnswer: -11703, -273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 169*k**4\/12 + 271*k**3\/6 + 101*k**2. Let o(t) = 169*t + 136. Let f(s) = 2*l(s) - 5*o(s). Differentiate f(i) wrt i.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 - 647 - (15 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166126, -166136, -166154, -166174, -166190?\n\"Answer: b**3 - 10*b**2 + 13*b - 166130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -5*x - 209. Let f = 60 + x. Which is the nearest to f? (a) 0 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 5 (b) -48 (c) -0.4 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27755215 (base 8) to base 4.\nAnswer: 113331222031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -596 + 54924*c - 54922*c + 0*c**2 + 2*c**2 to the form z*c**2 + w + v*c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/5, -23 in decreasing order.\nAnswer: 1, 3\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 11*b**4\/12 - 3*b**3 + 14*b**2 - 7*b. Give x(-4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0 - 9. Let o be j + 7\/((-14)\/(-20)). Is o at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359540101.9516402804826152 + 0.0484567195173848. Let i = 359540337 - y. Let s = i - 235. Round s to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004032956 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*t**2 + 14235*t + 5690.\nAnswer: 5*(t + 569)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-12 + 8)) + (-10 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m + 104206 + 267458. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/4, 0.03, -3\/7, -1 in descending order.\nAnswer: 4, 1\/4, 0.03, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3465000 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -10 + -14 + (1 - (6 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-9))\/(6\/(-9)). Let -x**2 - 3*x**t + 2*x**2 = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*h + 1442 = -54*h + 44*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 10*b - 11. Let v be l(8). Suppose -v = -3*y - 50. What is the units digit of y*7\/(70\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/8 + 5*t**2. Let s(m) = 6*m**2. Determine s(f(v)).\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 5*s + 125\/4.\nAnswer: -(s - 25)*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416646.\nAnswer: 2, 7, 11, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-32)*28\/(-6). Let q(o) be the first derivative of 2*o + 6 - 5\/4*o**4 + 3*o**3 - p*o**2 + 1\/5*o**5. Factor q(d).\nAnswer: (d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37141244 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 + 89307*w - 1695750 = 0.\nAnswer: 19, 29750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 1126.\nAnswer: 28150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/26030, -17\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6845802 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 9\/(-42))\/((-12)\/24).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 111\/5. Let o be 6\/4*(2 + -4). What is the nearest to 0 in -0.1, m, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-36) + -5 + 549\/108. Which is greater: 1\/929 or u?\nAnswer: 1\/929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 5*q + 5. Let u be s(-5). Suppose v + 144 = u*v. Suppose v = 5*y - 2*z - z, 4 = -2*z. What is the highest common factor of 12 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1217 - -1252. Calculate the remainder when g is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731.65285 rounded to the nearest integer?\nAnswer: 5732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 147 (b) 3 (c) -37\/12 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + 4*f - 2. Let x be y(2). Calculate the remainder when 0 + (x - -6)*(3 + 8) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*n - 11*n - 7200. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 - 3*g**4 + 6*g**4)*((0 - 1 - 1)*(1 + 2*g - 1) - g + 5*g - 2*g - g + g - 3*g).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Let 2*i**3 + 6*i + 4*i**l - 2 + 2*i**2 + 4 = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5925 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6)*(-3)\/(((-22)\/165)\/((-108)\/(-90)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(108)*-1 + sqrt(108) + sqrt(108))*2 - (4 + (sqrt(108) - (sqrt(108)*-2 - sqrt(108)) - sqrt(108)))) + -2)**2.\nAnswer: 504*sqrt(3) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d + 25. Let o = -59 + 59. Let h be v(o). Calculate the highest common factor of 200 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - -3 - 10 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/5 + -1017\/95. Sort -1\/8, -2\/33, f in descending order.\nAnswer: -2\/33, f, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152 - -129) + (0 - -16) + 0 + 36\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30730 (base 9) to base 12\nAnswer: -b899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19032, 37994, 56824, 75456, 93824, 111862, 129504, 146684?\n\"Answer: -11*d**3 + 19039*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2 - 1185*w - 18. What is the hundreds digit of z(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25443816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -1\/2*w**2 - 2 + w + 5\/4*w**4 + 0*w**3. What is the remainder when n(1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4477 + -4476.959. What is the nearest to 0 in 1\/24, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -11, -4, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1212849 and 185.\nAnswer: -224377065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 28*c + 52. Let r be x(-8). Let b = r + 156. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17015652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 258 + 47. Suppose -22*y + 27*y - w = 0. 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 (-4*2\/(-220))\/((-123)\/20746*-46)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1) + (-15)\/(-10))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*i, -2*d - 3*d = i + 16. Suppose -22 = 5*g - 7, 4*g + 28 = i*p. Solve -5*z + 2*z + 29 = 5*o, -p = -4*o + 4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**5\/2 + 1047*y**4\/2 + 7435*y**3\/2 - 12927*y**2\/2 - 337*y + 2556 = 0 for y.\nAnswer: -142, -9, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/(-9)*(-6)\/(-3 - -5). What is the third derivative of 13*g**5 - a*g**5 - 2*g**4 - 302*g - 6 - 4*g**2 + 302*g + g**2 wrt g?\nAnswer: -1920*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646457 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*f + 9. Which is the second smallest value? (a) -1 (b) f (c) -0.1 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18582828 by -9291414.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3371463300 to the nearest one million.\nAnswer: -3371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 - n - 1. Let r(k) = 3*k**3 - 4*k**2 - 6*k - 2. What is r(x) - 4*v(x)?\nAnswer: -x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78175 and 3511621?\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 1, r: 1, x: 1, p: 1, m: 1}. Give prob of sequence pmra.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3889 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*w + 26, 4*q - w + 14 = w. Suppose -3*b + 1 - 10 = 0. Let h = 9 - 5. Sort q, h, b in increasing order.\nAnswer: b, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*m = -61 + 368, -290 = 4*x + 5*m. Suppose -118 = 2*k - 4*z, -2*z + 242 = 2*k - 6*k. Let f = k - x. Solve -f*v = -v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 4913504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/46)\/((-4)\/((-48)\/(-9)))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -5, -97 in ascending order.\nAnswer: -97, -5, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/127 (b) 4 (c) -0.152 (d) -1\/11 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353 and 90721?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*y + 5*b - 60, 0 = 5*y + 2*b - 288. Suppose -j + y = 4*q, 2*q + 5*j + 4 = 3*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054562101 rounded to 6 decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441194983?\nAnswer: 89, 4957247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 39*p - 12*p - 6316. Calculate the remainder when 920 is divided by p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -6cf4a7?\nAnswer: 6cf49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6863543633 to the power of 1\/2, to the nearest integer?\nAnswer: 82847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -36561*p**3 - 15*p**2 - 16*p + 1. Is j(-1) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/4 + 7*t**3\/3 - 3*t**2 - 7*t - 34. Give g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 5*y - 21. Suppose -30 = 6*s - y*s. What is the units digit of s\/(3*(-6)\/(-279))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073409387 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = -i - i, 4*l - i - 56 = 0. Suppose 5*a = -5*y + 20, -3*y + 23 = 4*a - 6*y. Solve l = -0*f + a*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003383255676 to seven dps.\nAnswer: 0.0033833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*w - 2*w + 3*r, -12 = -3*r. Suppose -a - 4*u = 2*a + 11, -3*u - w = -a. Solve 0 = a*k + 2*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 13*r**6\/180 - r**5\/60 - r**4\/24 - r**3\/3 - 1. Let m(l) be the third derivative of n(l). Does 18 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 42. Let n be (-1)\/2*(1 + -1). Suppose o + 57 = 4*p - z, n = p + o - 20. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(21)\/sqrt(7) + -4 + -1 + -3*sqrt(108) + -5.\nAnswer: -16*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -53208 and 4\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 18. Suppose 3*l - x*l + 24 = 0. Solve -2*p = 4*t - l, 3*p + 4 = -4*t + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 3887, 0.\nAnswer: 0, 3, 4, 3887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/14 - 765\/56. Find the common denominator of k and ((-504)\/(-64))\/(3\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c**2. Suppose -8*p + 11 = -21. Let z(q) = -5 - p*q**2 + 2 + 3. Calculate z(f(t)).\nAnswer: -1024*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 225264 in 4, -10, 0.016?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + h**5 - 5*h**5 + (2*h - h - 3*h)*(7 + 14 + 12)*(1 - 1 - h)*(-2 - 1 + 2)*(-76 + 8*h**3 + 74 - 51*h**3).\nAnswer: 2836*h**5 + 132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**4\/2 + 13*c**2 + 69. Let r = 39 + -23. Let p(x) = x**3 + 5*x. Calculate r*p(l) - 3*y(l).\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, -1\/6, 0.073 in ascending order.\nAnswer: -1, -0.5, -1\/6, 0.073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 555\/35*35\/10. Which is greater: n or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 529*a**3\/3 + 11201*a**2\/3 + 1936*a\/3 + 28.\nAnswer: (a + 21)*(23*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/114919200 and 41\/132.\nAnswer: 114919200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200.3 - -192. Let h = 7.9 + r. Which is the third smallest value? (a) 0.03 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*z**3 + 4*z**2 - 520*z?\nAnswer: -42*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 961229856.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 756251589 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14041 (base 12) in base 4?\nAnswer: 12300301","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67, 1\/14, -0.084 in ascending order.\nAnswer: -0.084, 2\/67, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008, 2020, 3032, 4044, 5056, 6068?\nAnswer: 7080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u**6)**(-3\/35)*(u**3*u*u**(3\/8))**(-24\/5) assuming u is positive.\nAnswer: u**(-768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 - (-10 + (-4 - 1) + 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -16\/63979417?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -504.818 + -0.182. Let w = l + 505. Which is the closest to 0.03? (a) w (b) 1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - 5565\/(-25). Let u = 1119\/5 - o. Let -4\/5 - 1\/5*a**2 - u*a = 0. Calculate a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6, -t = 3*r - 3 - 2. Let f be t\/4 - (-104)\/32. Let g(m) = -m - 3. Let l be g(-5). Solve -h + l*n + 9 = 0, -3*h + f*n = n - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -66*d - 58. Let u be a(-5). Let q = u + -64. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - m + 49. What is the remainder when p(0) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124261 and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17476.022 or 4\/3?\nAnswer: 17476.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 3*l, 4*d - 2*d - 5*l + 24 = 0. Let j(b) = -3*b - 2 + b**2 + 0 + 1. Determine j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*f + 15, -2*f + 2*w = f - 4. Let m be (6\/32)\/(1\/f). What is the closest to -0.2 in -3, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4\/3, -1\/2, -80?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49\/(-1)*(-4 - -3). Suppose -a + 57 = -4*j. Is 6 a factor of 916\/28 + j - 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iistywwiyttwu. Give prob of sequence wyt.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 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: Is -37342 bigger than -37266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 2. Suppose 8 = -v - 0*v - 2*n, -2*n = 4. Let u(x) = -1 - 1 - 3 + 3*x. What is v*u(k) + 11*s(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (185\/(-35) + (-15)\/(-3))\/2. Which is the third smallest value? (a) h (b) -0.01 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -48*z**2 - 3*z + 1. Let g(r) = -48*r**2 - 4*r + 3. Let x(s) = -4*a(s) + 3*g(s). Differentiate x(o) with respect to o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1008)\/(-6))*(-1*16 + 170 + -160)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75255 minus 47.1?\nAnswer: -44.34745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-715)\/(-26) - 2\/4*1. Let i be -3 - -5 - 9\/(q\/(-960)). Suppose -2*s + 1370 = 3*v + i, 0 = 2*s - 5*v - 1064. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + a. Let y = 8 - 11. Let s(r) = 5*r**3 + 4*r**2 - 3*r - 1. Let c = 14609 + -14610. What is c*s(d) + y*t(d)?\nAnswer: -2*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - r - 47 = 0, -5*b - 59 = -r - 2*r. Let w = -13577 - -13620. Let i = b + w. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(sqrt(833) - (sqrt(833) + 0)) + 3*sqrt(833)*2))**2 + ((sqrt(833) + sqrt(833) + 0 + -1)**2 - (1 + sqrt(833) + sqrt(833) + -5)**2)*6*-4.\nAnswer: -2016*sqrt(17) + 270252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08011951341 to 5 decimal places.\nAnswer: 0.08012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36537 is divided by 12161?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2\/3 - 2128375*d\/3 - 6384990 = 0.\nAnswer: -425666, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 11*q**2 + 12*q + 7. Let l be j(12). Suppose 0 = l*k - 14*k. Solve -2*c + c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 559, 562, 573, 598, 643, 714, 817?\n\"Answer: f**3 - 2*f**2 + 2*f + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, 0.11, -2\/81, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 9100*d**2 - 1749124626*d\/13 + 6998391432\/13.\nAnswer: -2*(d - 4)*(d + 29577)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-11))\/(1\/(-1)))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0 - 13*g + 1\/3*g**3 - 1\/2*g**2 - 1\/12*g**4. Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*s - 92*s**4 + 57*s)*(-2 + 4 - 3 + (1 - 1 - 2)*(4 - 4 - 2) + 0 - 3 + 2 + 1 + 5 - 4 - 4 + 2 - 1).\nAnswer: -92*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28846869 + -28846867.6000071. Let c = 11.88 - 10.48. Let a = b - c. Round a to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58409, -58467, -58563, -58697, -58869?\nAnswer: -59079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12 and -98250.2635.\nAnswer: -98250.3835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 224 = 4*m, -10*m + 301 = 3*f - 11*m. What is the remainder when f is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**4 - 4*k**3 - 2*k**2 + 2. Let j(f) = -f**5 + 9*f**4 + 3*f**3 + 2*f**2 - 3. Let a(c) = -2*j(c) - 3*v(c). What is z in a(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/12 - 5\/12. Is n less than 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from fjdjjjjjdjddddjfj.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -150, -476, -1110, -2154, -3710, -5880?\n\"Answer: -17*x**3 - x**2 + 2*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76353818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 56920722, 0.3, 3\/7, -5 in increasing order.\nAnswer: -5, 0.3, 3\/7, 56920722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11496778693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5269925\/99 + 53231. Let d = -6103\/110 - -739\/11. Calculate the common denominator of k and d.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1492 * -228\nAnswer: 340176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -48 (c) 0 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3 - 23. Let x = p - -5. Which is smaller: 2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 9 = 4*f + a, 0 = f - 5*a + 4. Let n be (-131)\/(-2) - ((-88)\/16 - -5). What is the highest common divisor of n and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 228 + 60. Suppose 0 = p*v - 6411 - 3333. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2 + 12*t - 19. Let l be y(4). Find the second derivative of -10*z + 6*z + 19*z**3 - 10*z - l*z wrt z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + -3*sqrt(28)) - (5 + sqrt(7)*2 - ((sqrt(112) + 0)**2 + sqrt(7))).\nAnswer: -26*sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(4 + -17 + -1). Suppose 266 = 4*n - g, g + l = 5*n - 221. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/110 and -109\/8866.\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 334, 382, 434, 490, 550?\n\"Answer: 2*f**2 + 42*f + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 0*l = -21*l + 19263. What are the prime factors of l?\nAnswer: 3, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 38. Let i be y(-12). List the prime factors of 167 + (i + 2)\/1.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - o - 29, -5*j + o = -2*o - 31. Let a = 6 - 5. Let l be 2 + (a - 2 - -19). Calculate the greatest common divisor of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/((-1)\/(-140)). Let w = q + -18. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:25 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/1734 in -0.5, -1\/6, 18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a - 9 - a - 2. Let i be k(-11). Suppose -2 = l - i. Let u(b) = -b**3 - 3*b**2 + 2. Give u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6836896 rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4818 - -26637. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32440 (base 6) to base 14.\nAnswer: -18c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*m - 6*m + 36*m)*(2 - 1 + 1)*(3*m - 5*m + 0*m).\nAnswer: -344*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 76.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - 20\/(-16). Let w(q) = q**3 + q**2 + 9. Let p be w(0). Calculate the highest common factor of b and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1620 and -113\/929070?\nAnswer: 1858140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - (2 + 15 - ((76 - 63) + 23))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1862*a**3 - 8777 + 8777 + (2*a**3 - 4*a**3 + 0*a**3)*(-3 + 1 - 2)*(-3 + 1 + 3).\nAnswer: -1854*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2\/5 - 2499*j\/5 - 3528 = 0 for j.\nAnswer: -7, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1497 - 1496.9538. Round m to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 170*x**2 - 1. Let q(m) be the third derivative of -7*m**5\/20 + 88*m**2 - 1. Calculate n(q(o)).\nAnswer: 74970*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 118462 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277566 divided by 4420?\nAnswer: 138783\/2210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/370 or 1?\nAnswer: -17\/370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(684) - (sqrt(19) + (sqrt(19) - (-3*sqrt(76))\/sqrt(4)))).\nAnswer: -11*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**3 + 8*q**2 + 8*q - 830. Let g(h) = 22*h**3 - 18*h**2 - 18*h + 1659. Calculate -4*g(o) - 9*x(o).\nAnswer: 2*o**3 + 834","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Let g(h) = h**3 - 5*h**2 + h. Let b be g(f). Suppose b*i + 3*m = 28, -4*i - m + 17 = -4*m. Solve -5*d = 5*t, 30 = -3*t - 2*d + i*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 499, 769, 1219, 1849, 2659, 3649, 4819?\n\"Answer: 90*z**2 + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*l**2 - 352*l**3 + 2176*l**3 + 23*l**3 + l + 504*l**3 - 11*l wrt l.\nAnswer: 14106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 a when four letters picked without replacement from aaeva.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1675084548666 - -1675084875508.4009636. Let s = r + -326919.401. Let x = 77 + s. What is x rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 23 = a + x, 0 = -2*a + x + 56. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + 0)*(-7 - -8). Let p(w) be the second derivative of w**5\/20 + 7*w**4\/12 + 5*w**3\/6 + w**2 - 5*w. Let v be p(-6). Are o and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -15*c + 2*z + 36, -7*c + 7*c + 3*z + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3948 and 16.\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.305552nm?\nAnswer: 0.0000000305552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - o + 1. Let f be r(4). Let i = 333\/5 + f. Let y = 2 + -4. Which is the biggest value? (a) y (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j + 34*j + 5*j + 30*j in the form u*j + y and give u.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 2. Let t(y) = -7*y**2 - 23*y - 13. What is -t(j) - 7*w(j)?\nAnswer: 14*j**2 + 37*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 != -5\/10446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 50 + 151 - 30 - 11*m - 35. Let z be o(-12). Solve -s - j = 4*s - 5, 2*s = 4*j + z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56764964 at most as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 19. Let y be b(14). Let t = 0.3 - 0.8. Let d = -2 + 1.9. What is the nearest to d in 4, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -23. Differentiate 17 - j - 2 + 15*t with respect to t.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/66)\/(-1))\/(3\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836*q**2 - 1262*q**2 - 281*q**2 - 298*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15\/(75\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 389043 - -186?\nAnswer: 3891c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 divided by -2?\nAnswer: -869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.1, -0.5, 1\/8 in descending order.\nAnswer: 5, 1.1, 1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 577*p + 457*p - 3956*p + 753*p - 3898*p as d*p + a and give d.\nAnswer: -6067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1179 - 805. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {k: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 9116.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -53*2*1\/(-2). Let g = 74 - h. Let k = g + 35. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6917)\/(-12964) - (-12)\/(-48) - 4\/14. Is q > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-6)\/(-10))\/(-2). Let w = -1.4 - 1. Let q = w - -2.1. Sort -1, q, p in descending order.\nAnswer: p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 - -484. What are the prime factors of q?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2778\nAnswer: -8334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -106, -156, -252, -406?\n\"Answer: -2*l**3 - 5*l**2 + 13*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 8)*(-1134*f**3 + 1134*f**3 - 45*f**5).\nAnswer: -540*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6839*m - 34182. Suppose 3*n - 2*j + 54 = 125, -5*n + 133 = 4*j. What is the remainder when n is divided by v(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 893 + -3578?\nAnswer: -28a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6841*g - 21460. Determine j(-3).\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-v + v + 2*v) + 9*v - 2*v - 3*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 times -28?\nAnswer: 13832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8646312 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - (-32 + 27). Let c(z) be the first derivative of -5\/8*z**2 - 5\/6*z**3 - 1\/4*z + 4 - 5\/8*z**k - 1\/24*z**6 - 1\/4*z**5. Let c(w) = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**8\/224 - 23*l**7\/420 + 23*l**6\/120 - l**5\/4 - l**4\/48 + 5*l**3\/12 + 2*l**2 - 150. Find v such that q(v) = 0.\nAnswer: -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d + 3*d + d)*(7 - 4 - 2 + 4*d**4).\nAnswer: -68*d**5 - 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose y = -t*y + m + 17, -4*m = -y + 24. Suppose 15 = 3*s - 2*s - 4*h, y*s + 5*h - 18 = 0. Solve s*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**(37\/3)*(f**(-2\/13)*f)\/(f*f**(-2)\/f*f*f) assuming f is positive.\nAnswer: f**(492\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -7) + 2 + 0 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/10 - t**4\/4 + 5*t**2. Find the second derivative of k(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-3)\/4*2). Suppose c + 48 = f*c. Suppose 0*t - 2*t + c = 0. Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -646 + 982. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10838.133 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a factor of 115574262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 712192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0 - 3. Let f(l) = l**3 - l. Let v be f(q). Solve v = t - 0*t + 3, -2*t = -3*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 - 2 = -39*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, l: 3}. What is prob of picking 3 n?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.88 + 1.9. Let y = k - -0.98. What is the third biggest value in -0.05, 1, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u = -67*u + 9. Let r(c) be the third derivative of -1\/12*c**4 + 0*c - 2*c**2 + 1\/3*c**u + 0. Find the first derivative of r(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 107*b**2 - 2*b - 14*b.\nAnswer: -107*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 3*o + 6 - 8 - 4*o - 2*o.\nAnswer: -16*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 590 and 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2\/6 - 775*a\/6 = 0. What is a?\nAnswer: -155, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-10 - -2)). Suppose 5*t - 89 = l*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 65. Let r be ((-16)\/(-14))\/(s\/21). Suppose 0 = -3*y + r*y - 210. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5483374017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423505, -847021, -1270537, -1694053?\nAnswer: -2117569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b + 0*b)*(9 - 28 + 4)*(-188*b + 257*b + 294*b).\nAnswer: 10890*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.759999536 + -0.76. Round s to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290.32447 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 - 9*z**2 - 11*z + 6. Let l(d) = 2*d**3 - 2*d**2 - 2*d + 1. Determine 2*g(f) - 11*l(f).\nAnswer: -2*f**3 + 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1194)\/(-6965))\/(1\/7)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -151 - (35 - 60 - 13)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37676716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2)*11\/3. Let y(h) = 6954*h - 27812. Let b be y(4). Put 3, t, b in descending order.\nAnswer: b, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 16718687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2233*c**5 + 5236*c**4 - 6955*c**5 - 5236*c**4 + (2*c + 0*c + c)*(5*c**4 - 4*c**4 + c**4).\nAnswer: -9182*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 897429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 7*q + 2. Let b be s(-7). Solve -r - 3 = b, 0 = -5*x + r + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.288 + 0.188. Does s = 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 37. What is the units digit of h(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/21*-1)\/(-1). What is the closest to -1\/2 in z, -4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 531 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 73\/5 - (-16)\/40. Let n(g) = -3*g**2. Let i(s) = -12*s**2. Let o(p) = r*n(p) - 4*i(p). Let f(k) = -4*k**2. Give o(f(w)).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2\/5*k**5 + 5 + 5\/2*k**2 + 0*k + 0*k**4 + 0*k**3. Find the second derivative of o(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2607175.6 - 584\nAnswer: 2606591.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116522.6 rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.024944 times 0.02702\nAnswer: 0.00067398688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2544 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 367 = -3*f, -3*f = -2*n + n + 83. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12783029*f**4 + 1476798?\nAnswer: -51132116*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let i(m) be the third derivative of 0 + 0*m**3 + 0*m - 19\/24*m**4 + 36*m**2. Give c(i(f)).\nAnswer: -722*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 + 5*d**3 - 71*d**2\/2 + 57*d. Let a be j(27). Solve 2*z = p, -2*p - p + z = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 8, v: 1, k: 1, r: 2, o: 1}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 26200336*t**2 - 171614401628224*t.\nAnswer: -t*(t - 13100168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgl when three letters picked without replacement from wgiggwl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7496 + -7448. What is the greatest common divisor of n and 852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.4. Let t = 0 + x. Let o = -2.4 - -2.5. Is o at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984500 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-11 + 7*o + 11).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10313 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177 - 382 + 130)*(-15*y**2 + 0 + 17*y**2 + 16*y - 2).\nAnswer: -150*y**2 - 1200*y + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*f - 3*f - 5*l, l + 9 = 4*f. Let w(c) be the first derivative of 4\/3*c**3 + 0*c - f + 0*c**2. Let j(m) = 2*m. What is w(j(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2\/4 + 0). Let u = -7190 - -7186. What is the smallest value in 0.4, o, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010111110 (base 2) to base 16\nAnswer: -8be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) 0 (c) -1\/3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40689 and 199881.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2067*z**2 + 2068*z**2 - 62 + 42*z + 62.\nAnswer: z**2 + 42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfr when three letters picked without replacement from {s: 1, f: 1, x: 2, e: 1, m: 1, r: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122422 (base 5) to base 13\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 31. Calculate the remainder when h is divided by 0 + 9 + 0 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22408 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 19. Let f be t(0). Let q(g) = -5*g**2 + g**3 + 18*g + 2*g - 15*g**2 - 20. Let y be q(f). What is the closest to y in 0.2, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*t + 10, 2*c - 44 = -c + t. Suppose c*v = 22*v + 28. Sort -1, 1, 2, v in increasing order.\nAnswer: v, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -21*v**2 - v. Let w(z) = -5*z**2 - 4. Let l(i) = 4*i**2 + 3. Let j(o) = 4*l(o) + 3*w(o). Give n(j(m)).\nAnswer: -21*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 24178622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70691, 70651, 70573, 70439, 70231, 69931?\nAnswer: 69521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*i - 12*i + 3156*i**3 + 707*i**2 + 770*i**2 - 20*i - 18*i wrt i?\nAnswer: 18936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 2*s**7\/105 + s**6\/6 + 3*s**5\/5 + 7*s**4\/6 + 4*s**3\/3 - 15*s**2. Factor z(i).\nAnswer: 4*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 - -121. Let l be y\/(1658\/(-414) - -4). Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160\/(-1896) + 8\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)*(-1 - -2). Let y(p) = -2*p - 12. Let o(c) = c + 1. Let j(i) = h*y(i) + 4*o(i). What is the units digit of j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*c - 27. Let y = 20 + c. Is -1\/2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*25 + (-12)\/(-6). Let n(z) = z**3 - 9*z**2 - 3*z - 17. Let u be n(9). Calculate the remainder when 87 is divided by j\/22*u\/(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -17\/345648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5734408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -45. Let x(c) = -c**3 - 9*c**2 - c - 6. Let s be x(i). Find the third derivative of -31*y**3 + 2*y**2 + 13*y**3 + s*y**2 wrt y.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(104)\/sqrt(72).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55624 * 0.1.\nAnswer: -5562.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1183 and 16177356.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r = 53*r - 87 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = -4358 + 2345 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 16*u + 65. Let h(q) = -14*q - 541. Let w be h(-40). Calculate y(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 942460 and 565476.\nAnswer: 2827380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let x be (2\/3)\/(2 - 40\/3). Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-342)\/(-520) - ((-40)\/(-25) - 1) and -71\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2640 and 1044384?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 156 + 160 = 0, w = 4*v - 480464. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2\/5 - 3588*k\/5 + 7192\/5 = 0.\nAnswer: -899, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-38 - (-27 + -29)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c. Let m(o) = -26*o + 370. What is 4*f(i) + m(i)?\nAnswer: 2*i + 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1892904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -2\/3, -0.08, -21, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let m(q) = 7*q**3 - q**2 + 8*q - 10. Let x(b) = -10*b**3 + 2*b**2 - 11*b + 14. Let s(h) = -7*m(h) - 5*x(h). Calculate -5*f(k) - s(k).\nAnswer: -k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.4, 1\/3, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -115, -124, -137?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 606945103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose 0 = 6*j - 9 - v. Suppose 4*b = h + 41, -j*b + 5*h = -7 - 0. Solve 2 = 3*a + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -60*w - 154 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-3 - (2 + (4 - 1))) + 9 - 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -359*z - 714. Calculate x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110011 - 11100010111?\nAnswer: -101011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -10*o + 15*o. Find the common denominator of 23\/2 and (-1)\/(-15) - o\/(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q + 2. Let z(o) = -192*o**3 - o**2 + o + 1. Let d be z(q). Let p = d - 7. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q + 3*t + 61, -4*q - 49 = -t. Let d be q + (35 - 16) + (-18)\/(-2). Solve -5*h + 8*i - 13*i - d = 0, -5*h - 3*i = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*g + 23. Suppose -g*m = -2*w + 14 + 15, 2*m + 34 = 4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -167, -235, -245, -203, -115?\n\"Answer: -o**3 + 35*o**2 - 166*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2401714.4 and 0?\nAnswer: 2401714.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11194715.95 from -0.8.\nAnswer: -11194716.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019756 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s. Let q(v) = 365495*v. Give t(q(z)).\nAnswer: 2192970*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18298 is divided by 186?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 107. Let j = l - 25. Sort -1, 3, j, -4 in ascending order.\nAnswer: -4, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 - 6*g**3 - 6*g**2 + 16*g - 1. Is r(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-1)\/3*(-38 + 41). Put 5, -1, -8, t in decreasing order.\nAnswer: 5, -1, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -785, -450?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3044424, 3044333, 3044242, 3044151?\n\"Answer: -91*n + 3044515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 5*m + 0*m + 0 - m + 0 + 0*m + 4*m - 6*m + (3*m - 4*m - m)*(1 - 4 + 4) - 1 - m + 1 + 5*m - 4*m + 15*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -0.084 (c) 13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 4. Let u be k(0). Let z(o) be the first derivative of 2\/5*o**5 + 0*o**3 + 1\/2*o**2 + 0*o + 0*o**u + 2. Find the second derivative of z(i) wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225 bigger than 64784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)*(-4)\/8. Suppose 0*q + q - 19 = a. Let j(v) = v + 3. Let b be j(0). Solve -4*m - 29 = 2*n - b, m = -3*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 23*o - 20*o)*(1 - 1 - 2*o).\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 = g + 5*k, 0*g - 3*g + 2689 = 5*k. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 2\/(-6) - 1305\/(-27).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 9*r**2 - 9*r + 9. Let t be x(8). Let p be 3\/3 + -166 + t. What are the prime factors of p\/(-6) + 1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/((-15925)\/(-98)))\/(-3 - 82\/(-26)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-14)\/210*(-10)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 10, 63379 in descending order.\nAnswer: 63379, 10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 738100 = 8*v. Suppose 0 = -48*u + 12668 + v. Does 52 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h**3 - 1 - 4*h**4 + 2*h**4 - 16*h**3 to the form f*h**3 + l + t*h**4 + i*h**2 + a*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153 in 5, -2\/9, -0.5, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1114 - -2?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(45)\/sqrt(3) + sqrt(15))\/sqrt(3))**2 + (sqrt(45)*1)**2*5 - -3*((1*sqrt(5)*2 - sqrt(5)) + sqrt(15)\/(sqrt(3) + sqrt(18)\/sqrt(6) - sqrt(3))).\nAnswer: 6*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g + 72. Let q = 72 - g. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6)**3 assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 6*j - 2*j - j + 2*j**3.\nAnswer: 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*z + 16. Solve 6 = r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*p - 3*p = 10, 10 = 2*z - p. Which is the nearest to 2? (a) z (b) -18 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22\/(-5))\/((-44)\/112310)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/120 + k**5\/20 + k**4\/8 + k**3\/6 - k**2\/2 + 2*k. Let m(i) be the first derivative of h(i). Find d such that m(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - 3. Let m be 283\/(-8) + 105\/280. Let w = 53 + -39. Let o be 4\/(-6) - w\/6. Let x(r) = -95*r**2 + 35. Determine m*t(f) + o*x(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 22248934.\nAnswer: 3\/22248934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -534*z**2 + 7*z - 5. Let t(a) = 1071*a**2 - 13*a + 9. Calculate 22*c(i) + 12*t(i).\nAnswer: 1104*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 7. Let z(m) be the second derivative of -m**3\/2 + 13*m - 3. Determine z(c(r)).\nAnswer: -9*r + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**3 + 436*c - 436*c + (-2 + c + 2)*(1 - 1 + c**2) + 7*c**3 - 46*c**2 + 46*c**2.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -1964, -3965, -6684, -10133, -14324, -19269, -24980?\nAnswer: -31469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 0 - 31)*(1 - 1 - 2 - g**4) + 4*g**4 + 3*g**4 - 5*g**4.\nAnswer: 68*g**4 + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -6.89.\nAnswer: 48.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 54511?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669319 smaller than 8669318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 54\/11, 0.1.\nAnswer: 0, 0.1, 54\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, u: 2, z: 1}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -50*j**2 + 324*j - 652. Let x(u) = 29*u**2 - 194*u + 391. Let s(d) = 7*o(d) + 12*x(d). Find g such that s(g) = 0.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902288356 to the power of 1\/2, to the nearest integer?\nAnswer: 30038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0572719 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 - 3*b - 5. Let m = 36 + -40. Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 2*v + 14 = 22*t, 8 = 3*t + 4*v. Suppose 1037 = 4*s - 3*z + 315, 4*z = -t*s + 736. Is 66 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(343) + 0)*-3 - (-6*(sqrt(343) + -1*sqrt(343) + 4 + sqrt(343)))**2)*-2.\nAnswer: 4074*sqrt(7) + 25848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852036 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(156) - (sqrt(156) - sqrt(156)*4)) + sqrt(156))\/(sqrt(1200) - (sqrt(1200)*2 - sqrt(1200)) - sqrt(1200)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781161 to the power of 1\/2, to the nearest integer?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxffxx. What is prob of picking 2 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/(-20))\/((-6)\/15). Suppose 60 = -b*p + 10*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:57 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 - 5*i - 2. Let a be z(-4). Let s(k) = k**3 + k. Let v(j) = -5*j**3 - 3*j**2 - 6*j + 2. Let y(m) = 6*s(m) + v(m). What is y(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x + x)*(-37*x**2 - 29*x**2 - 16*x**2).\nAnswer: 82*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 518056035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 49.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d + 5. Let u be j(-4). Let m be (u*-1)\/((-10)\/30). Is (-1)\/3 - (-55)\/m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - 0.4. Let l = r + 8. Let k = 7 - 6.9. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77898829 divided by -4.\nAnswer: 77898829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 2*n - 1. Let x(p) = -p**3 - 2*p**2 + 5*p + 3. Let o be x(-3). Give b(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167424.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 650832 divided by 91?\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b - 72. Suppose 0 = -3*h + 8 + 10. Suppose -4*u - b = -h*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**3 + k**2 - 53*k - 336. Let d be l(-6). Which is smaller: d or 2612?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y**3 - 2*y**2 + y. Let l be g(1). Solve -l = 4*r - 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77175 and -12030.\nAnswer: 65145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 + 3. Calculate t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2110, -0.4, 0.4363?\nAnswer: 0.4363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -11ca7d?\nAnswer: 11ca7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374849564.\nAnswer: 2, 179, 829, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1380\/127 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.6907 centuries in decades?\nAnswer: 716.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -55 (c) -38\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3271369638 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -587, -1984, -4745, -9332, -16207?\n\"Answer: -77*u**3 + 11*u**2 + 11*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + ((-12)\/(-3))\/(-4). Sort -5, m, -4 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2 - 10) + (-44 + 11 - -30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 14. Let q = p - 64. Which is the smallest value? (a) -2 (b) 0 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3127 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 8*r - 3*r)*(-951*r**3 + 632*r**3 + 511*r**3) + 2*r**4 - 3*r**4 - r**4.\nAnswer: -1922*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4262197, 8524405, 12786613?\nAnswer: 17048821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rarvaavvvvravarv. Give prob of picking 2 r, 1 v, and 1 a.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**3 - 15*l**2 - 128*l - 729. Let b be f(-6). Do b and 1227 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-2)*(-9 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**3 - 5*y**2 + 2*y - 10. Let t(f) = -5*f**3 - 3*f**2 + f - 5. Let c(b) = -4*k(b) + 7*t(b). Let u be c(0). Suppose r + 64 = u*r. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 24. What is the second smallest value in -0.1, u, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2880 = -83*o + 107*o. What is the lowest common multiple of o and 110?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 886485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fsssssfffsfss?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let c be 114\/(-4) - 10\/20. Let b = c - -40. Let k(l) = -b + 15*l + 11. Give s(k(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 15 = 0. Suppose -y*h = -h - 116. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/105 - f**6\/40 - f**5\/60 + 6*f**2. Factor n(c).\nAnswer: -c**2*(c + 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173279212 to the power of 1\/2, to the nearest integer?\nAnswer: 13164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -0*o + 3*o - 4*w, 0 = -5*o + 5*w + 645. Suppose -5*h - 3*x + o = 0, x = 5 - 1. What is the greatest common factor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004 + -0.05166?\nAnswer: -0.04766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/40)\/((-1)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -97*q + 1. Let m be a(-14). What is the hundreds digit of (2 + 0)\/(18\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -26*h - 24. Calculate the remainder when q(-15) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/71 (b) 0.07 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77)*-2 - sqrt(77))*3)\/(-1*sqrt(22)\/(1*sqrt(2))).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 7\/19 (c) -3\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 27190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2441 - -2437. Which is the third smallest value? (a) w (b) 1 (c) -14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - 494670\/9515 - 4.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 0*s + 5*s)*(1 - 1 - s)*(33*s + 68 - 68) - s**3 - 2 + 2 in the form k*s**3 + v*s + h*s**2 + x and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235924*v**2 + 226*v + 80564693?\nAnswer: -471848*v + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 51459 = 270196 + 1039016. What are the prime factors of g?\nAnswer: 139, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:24 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-7) + -5*(-2)\/10)*14. Let s(r) = 9*r**2 - 2*r + 2. Let z(b) = -b**2 + b - 1. What is u*z(c) + 2*s(c)?\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3407, -3411, -3415, -3419, -3423, -3427?\nAnswer: -3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9))**(2\/85))**(-5\/9) assuming t is positive.\nAnswer: t**(4\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 m when three letters picked without replacement from lmql.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782, 8378, 23644, 45016?\nAnswer: 72494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45438869*d**5 + 50978633*d wrt d.\nAnswer: 908777380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 265329.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*j + 15 = 7*j, 4*f - 72 = 4*j. Let o = 25 - f. Calculate the remainder when 35 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (-31 + 16 - -16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 741221748464 minus 0.0468?\nAnswer: 741221748463.9532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15088?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4588 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 - 1690 = -256*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + -3 - (58 + -61).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -1.686, -9 in descending order.\nAnswer: -1.686, -9, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1 + 1. Let x(s) = -5*s + 4. Let u be x(n). Is 24 a factor of 76 + -6 + u\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26299.68 centuries in years?\nAnswer: 2629968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11677*j**2. Let p(n) = 5385*n**2. Determine p(l(g)).\nAnswer: 734257291665*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*f = -5*w - 8, -5*f + 20 = 2*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + l + 5 = 0, -4*n - 116 = 2*l - 154 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foofvovivcnfivo. Give prob of picking 1 i, 1 f, and 1 o.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 3*i + 3. Let u = -8 - 160. Let x = u - -165. What is l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3204 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54341 divided by -387.\nAnswer: 54341\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j + 10*j + 11*j. Let i(r) be the second derivative of -r**3\/6 + r. What is n(i(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 1, d: 7, a: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/80 - 87*g**5\/10 - 2523*g**4 - 390224*g**3 - 9932*g**2. Factor t(n).\nAnswer: -3*(n + 116)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 98078.5 - -0.176\nAnswer: 98078.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1481*c**3*g - 110*c**3*r + 67839*c + g*r + 2*g wrt c.\nAnswer: 8886*c*g - 660*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24.73 - -7051\nAnswer: 7026.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 + 4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**6\/360 + 13*k**3\/3 - 5. Let d(s) be the third derivative of a(s). Let n(y) = -17*y**2. What is d(n(z))?\nAnswer: -289*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266284032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339 - 732 + 593 - 7*d**2 - 1386 to the form j + c*d + r*d**2 and give j.\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a + 120 = 0. Calculate the highest common divisor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 = -2*g + 8*f, 0 = -5*f. Suppose -36 = -4*j + j. What is the greatest common divisor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1317?\nAnswer: 1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 times -1517709\nAnswer: -8650941.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 - 472*v + 10. Let l(m) = 7*m**2 - 314*m + 7. Determine 5*h(s) - 8*l(s).\nAnswer: -s**2 + 152*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 3, 548 in descending order.\nAnswer: 548, 3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - 14\/(-6). Solve y*i - 4*k = 7*i - 28, 0 = k - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1673856 by -288.\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a factor of 139057975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 + 212*l - 7868 wrt l.\nAnswer: 6*l**2 + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:37 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-112)\/(-12)) + 2579\/7. Solve -l = 4*g - 396 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37515399 + 37464853 = -398*k for k.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 4*f**2 + 2*f + 3. Let y = 1 + 1. Suppose 2*g = -2*x + 16, -x = -g - 0*g + y. What are the prime factors of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-36) - (-34)\/6. Suppose 0 = r*b - 3*b + 15, 0 = -3*t + b + 23. Solve -14 - t = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 2*f + 28. Let u = f - -7. Let d(s) = 7*s**2 + 2*s - 1. Let p be d(-3). Calculate the highest common factor of p and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -19) + -2 + -7 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -3 (c) -7 (d) 5 (e) 0.056 (f) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4 - 1 + 4 - 1 + 4 + 1 - 3 + 2 + 0 - 1 + 3 + 1 - 5 + 0 - 1 + 2 + (1 - 1 - 1)*(0 + 0 + 1) + 1 + 2 - 2)*(-11*c**2 - 11*c**2 + 35*c**2).\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -319686363*l + 173206189 wrt l?\nAnswer: -319686363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 10:59 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 5. Let f(r) = -r - 1. Suppose -3*t = -x, 5*t + x + x - 11 = 0. Calculate t*s(a) + 4*f(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 minus 593914?\nAnswer: -593335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5 (c) -0.5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7)\/m)**(-1\/17)\/((m*m**(-22)\/m*m*m)\/m*m**(-1\/6)) assuming m is positive.\nAnswer: m**(15137\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzuzuzzzzzzzzzzzz. Give prob of picking 1 z and 2 u.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 3)*(0 - 4 + 2) - 1 + 0 - 7)*(3*q**2 - 3*q**2 - q**2) to the form p + w*q + u*q**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 + 115. Let f be g\/(-6) + 4\/(-6). Let m be (-2)\/(-5) - (-116)\/f. What is the highest common factor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -1 - (2 - 5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1880 and 59278280?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a + 51. Determine r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -77.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*b + 5 + (-3 + 3 - 2)*(-2 + 2 - 2*b) - b - 2*b + 4*b + 3 - 3 + b)*(1 - 1 - 3*b).\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**3 + 95*k**2 - 75*k - 35.\nAnswer: 5*(k - 1)*(k + 7)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**(1\/3)*((s*s*s\/(s\/s**(-1)*s)*s)\/s)**(-1\/39)*s*s**(5\/4)*s**(-1\/5)\/s*(s\/(((s**(-1\/2)\/s)\/s)\/s*s)*s)\/((s*s*s**(-1))\/s) assuming s is positive.\nAnswer: s**(979\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - 4*p**3)*(4 - 2 - 3) + (4*p - 4*p + 2*p)*(0*p**2 + 2*p**2 - p**2).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -5090 in ascending order.\nAnswer: -5090, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 43 - (7 + -25).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/5 - 2*d**4\/3 + 2*d**3\/3 + 4*d**2 + 6*d. Factor i(u).\nAnswer: -4*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 27. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 0.4, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3240*h - 2*u - 93 = 3239*h + 2*u, 3*u = -3*h - 51 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/((-5)\/10). Suppose -6*m + m = -s. Let i = m - -1. Solve i*p + 0 = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((0 + sqrt(112))*-6 - (sqrt(112) - (sqrt(112) - (1 + sqrt(112) + 1)))**2) - (sqrt(112)*2*1 + (-1*(1 + sqrt(112)))**2))*-2.\nAnswer: -208*sqrt(7) - 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -159, 4, 13.972?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3831445 is divided by 364.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from zprvxxbxzprx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14154 - -13213.\nAnswer: 27367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 310\/60 - (-1)\/(-6). Sort q, -1, -3, 3 in descending order.\nAnswer: q, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.25687808 to two dps.\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -66. Let w = -25 + g. Suppose -7 = -r + w. Solve -d - d = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/10 - (196\/35 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:53 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.303 + 0.077. Let v = h - 0.48. What is the nearest to -0.1 in -2\/5, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*v + 313*v + b + 2*b - 6 = 4*b, -3*b = -5*v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 i, and 1 t when three letters picked without replacement from ggggtfgijggttjtttg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 16. Determine g(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 4*r - 3. Determine f(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221434*j**4 - 25*j**2 + 20*j + 34 wrt j?\nAnswer: 5314416*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -215. Which is the biggest value? (a) -3 (b) 145 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(91)\/sqrt(175))**2.\nAnswer: 6*sqrt(13)\/5 + 238\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 7*w - 27. Let l be (3 - 0)*507\/w. Let a = l + -147. Calculate the remainder when a is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 34*c**2 + 596*c + 18552. Calculate k(-33).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*i**2 + 2*i - 11*i**3 + 45*i**3 - 14*i**3 - 18*i**3 in the form v*i + p*i**3 + h + r*i**2 and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -10 - 18. Suppose 27*u - 24 = 21*u. What is the tens digit of (-1258)\/(-7) - ((-8)\/c)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/7 + 456*v**4\/7 - 32905*v**3\/7 - 30246*v**2 - 25480*v = 0 for v.\nAnswer: -5, -1, 0, 98, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, n: 1}. What is prob of sequence aw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 752, 751, 750, 749, 748, 747?\n\"Answer: -o + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 28*a - 4 + 0 + 4. Let h(g) = -g. Determine p(h(y)).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11548, 22335, 33132, 43945, 54780, 65643, 76540?\n\"Answer: y**3 - y**2 + 10783*y + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16166 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x - 13. Let m be n(4). Let h = 7603\/143 + -599\/13. Is h not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8, -q - 62 - 17 = y. Is (-2)\/7 + (-19965)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/9 in -9, -1\/2, 4\/9, 0.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 34. Let p = r + 14. What is the closest to p in -0.1, 0.3, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.017373 and -0.09.\nAnswer: 1.89156357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15524 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -72, 1, 1\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(-3)\/(-4 + 10). Let i(y) = -y**2 - 6*y - 13. Let h be i(a). Is h greater than or equal to -151\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g + 2. What is the remainder when v(-2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j. Let m = 138 + -136. Let h(l) = -35*l**m - 34*l**2 + 3*l**3 + 69*l**2 - 2*l**3. Calculate -h(i) - s(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 6, n: 3}. What is prob of sequence bbu?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 34*j**3 - 112*j**2 - 104*j.\nAnswer: -2*j*(j + 2)**2*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -4, 2, 189, -5 in descending order.\nAnswer: 189, 2, -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 2. Let t = q - -7. What is the units digit of (-1)\/6 - (-61)\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11828082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6189\/(-4126))\/(15\/35)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 651, -48, 2423, -1 in ascending order.\nAnswer: -48, -1, 651, 2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1697 in -0.5, 0.13, 35\/121?\nAnswer: 35\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68, -243, -534, -941, -1464?\n\"Answer: -58*c**2 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/sqrt(300))\/(sqrt(180)*4 + sqrt(5) - sqrt(5) - sqrt(5)).\nAnswer: sqrt(11)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**6\/45 + 7*y**4\/8 - 5*y**3\/6 + 20*y. Let h(t) be the second derivative of i(t). What is the derivative of h(p) wrt p?\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 22. Suppose 4*p = 2*s + 106, -41 = -5*p + 3*s + 91. Suppose -7*k = -4*k - p. What is the remainder when w is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1273 - 11456\/9. Let g(v) be the first derivative of -1\/36*v**4 - 1\/9*v**2 - 22 - s*v**3 + 0*v. What is t in g(t) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 6*t + 12. Let x be n(-6). Let c be (1 - -1)\/(-8) + x\/(-48). Sort 1\/5, -0.2, -3, c in descending order.\nAnswer: c, 1\/5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 2, w: 1, d: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 3. Suppose -2*n = -3*n - 13. Let r(o) = -2*o - 6. Let z(a) = n*k(a) + 6*r(a). What is the units digit of z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3500*o**3 - 16*o**2 - 577617*o?\nAnswer: 21000*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 127.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let t = 3817 - 3819. What is the third smallest value in q, 5, t, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*11)\/((-1)\/4*4*2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468796 (base 12) in base 6?\nAnswer: 224153110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*6\/2*-1. Solve -10 = w*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/15)\/3)\/(-11 + 414\/36).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23*5025.3141\nAnswer: -115582.2243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 11316972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -424736 at most as big as -424743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 0, -741, 3, 1, 33.\nAnswer: -741, -109, 0, 1, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 30 - 3)*(11 + 1 - 3)*(-3*j - 2 + 2).\nAnswer: -1512*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -356.08 + 64.18. Let l = 292 + d. Which is the closest to 1\/4? (a) l (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5548913\/8 + -693614. Suppose t*o**2 - 3\/2*o + 5\/2 = 0. What is o?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(76)*4)**2 - (sqrt(1425) - sqrt(57))\/sqrt(3)).\nAnswer: -6080 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -29 - (259 - (-93 + 203))\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 547169183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let t(h) = h - 4. Let w be t(6). Let u be 1\/(-2)*(-2 - w). Solve u = -f - l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -468.55 and -0.4.\nAnswer: 187.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*l - 613 = 0, 0*z = 4*z - 3*l - 769. Suppose -4*s + z = -2*w, -w + 5*s - 291 = 2*w. Let p = 130 + w. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -4*u, -2*f - 51 = -2*u - 23. Let x(j) = j**3 + 8*j**2 - 32*j + 17. Give x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - u**2 - 11 + 15*u**2 + 33*u**2 - 56*u**2 + 13*u**3.\nAnswer: 13*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 562 + -702. What is the units digit of (-30)\/21 + 1 - 71040\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-6)\/(-255)*5). Let o = -13 + r. Suppose -o*u + 22 = -2*u. Calculate the greatest common divisor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3 + i**2 - 3429*i - 21309 wrt i.\nAnswer: 3*i**2 + 2*i - 3429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73100*i + 20442*i + 75469*i - 34026*i - 34158*i + 71964*i)*(-4*i + i**2 + 4*i).\nAnswer: 172791*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -2742850, 2\/7.\nAnswer: -2742850, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(2 + (sqrt(6912) - (sqrt(6912) - (0 + sqrt(6912)))) + -2 + sqrt(6912))*-5)**2*-5.\nAnswer: -497664000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 7. Let k be x(-6). Let h = 66 + -61. Let j be 24\/(-40) + (-27)\/h. Do j and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6472 centimeters in kilometers?\nAnswer: 0.000126472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3)*2 - (sqrt(27) + -3))**2.\nAnswer: -78*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1437.5 and -3?\nAnswer: 4312.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3129552 and -43\/4.\nAnswer: 3129552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*t + 369 + 692 - 7 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 41539 = 168393. List the prime factors of p.\nAnswer: 2, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 77*v + 37. Let q be z(-38). List the prime factors of 4\/(4\/1085) + 4*q.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 2201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1923703 - 8023697 = 2*u, 2*u = -2*j - 12199994. What is j rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 98.09529 meters?\nAnswer: 98095290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 1740\nAnswer: -41\/870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*h + 5862, 0 = -3*h - 5*f + 4*f + 5872. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.01 (c) -0.3 (d) 0.3 (e) -0.2 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2a514?\nAnswer: -2a514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -28*g**3 - 3*g**2 - 1. Let z(y) = -55*y**3 - 7*y**2 - 2. Let a = 198 - 200. Let x(m) = a*z(m) + 5*h(m). What is the third derivative of x(u) wrt u?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*x + 2 = 0, 5*x + 17 = 2*v - 23. Suppose v*d - 17304 = -1634. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 5*m**2 - 16*m + 7. Suppose -4*j + 5*r + 49 = 0, -13 = -3*j + 4*r + 25. What are the prime factors of o(j)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120020707 divided by -3.\nAnswer: -1120020707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*18\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let c(u) = -4*u**2 + 2*u**2 - 4*u**2 - 2. Let b(w) = c(w) + 4*o(w). Differentiate b(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1280))\/sqrt(4) - (4 + sqrt(15)\/sqrt(3) + -3).\nAnswer: -17*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 3*w**2 - 4*w + 13. Let l be o(2). Let a(u) = u**2 + 5 + 0 + l - 4 + 0*u**2. Give a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 138 = -21. Suppose -m = 4*m. Suppose -39 = -3*v - m. Calculate the lowest common multiple of v and f.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -5*k**4\/24 - k**3\/2 + 25*k**2. Let y be d(0). Let q = 5 + y. Sort 4, 5, -3, q in descending order.\nAnswer: 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25522, -24, -3.\nAnswer: -24, -3, 25522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2 - 4)*(6 + 3 - 4)*(-5*m**2 + 2*m**2 + 0*m**2 + (-2*m + 6*m - 3*m)*(-2*m + 2*m + 2*m)).\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 4*h + 5 + h. Let w be g(5). Let i be 17\/5 - w\/25. Solve 0 = 2*d - d + i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/5, -3, -0.501?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113.26 + -116.26. Let y = -8 - -4. Which is the closest to f? (a) 0.1 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9659 is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - h - 1 = t, 0 = 2*h - 10. Sort t, 0.4, -0.3, 1\/2 in descending order.\nAnswer: t, 1\/2, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -1915, 4, 3 in descending order.\nAnswer: 11, 4, 3, -5, -1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16672527*-2.7.\nAnswer: -45015822.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, -2, -23, -44?\n\"Answer: -21*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.64 + 1.64000167. What is o rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -4, -3 in increasing order.\nAnswer: -4, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11231455 - 2130?\nAnswer: 11225325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q - 3. Let y be z(-5). Suppose -5*h = 4 + 6, h = -2*n + y. Find the third derivative of 297*i**5 + 9*i**n + 11*i**2 - 278*i**5 wrt i.\nAnswer: 1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 2)*(-3*h + h + h) + 0*h + 7*h + 24*h in the form a + b*h and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5489806 to the power of 1\/2, to the nearest integer?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(77)*2)\/(-4*-1*sqrt(11) - sqrt(11)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 70*x**3 + 72*x**2 - 70*x - 71.\nAnswer: -(x - 71)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 276*z + 1048. Let q be o(14). Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 223547 + 220795 = -86*p, -3*r + p = 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*v + 2*i, -5*v + 4*v + 24 = v + i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79 - -76) + 74 - 53.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192641939?\nAnswer: 43, 50991673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -35226 (base 7) to base 13\nAnswer: -4161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -7 + -18 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**3*z**2 + 2*c**3*z - 2*c*z**2 + 13*c*z + 18*z**2 wrt c?\nAnswer: -60*c*z**2 + 12*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 7*v - 1. Let q(x) = 14*x**2 - 21*x + 3. Let k = -7 - -24. Let o(p) = k*t(p) + 6*q(p). What is the units digit of o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 76 = -94 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by (-40500)\/(-648) + 2\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 7:46 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 409.033 + -409. What is the biggest value in -4, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 14. Let h = 7 - 8. What is the remainder when 41 - (h + 1 + 2) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3007 + -1039. List the prime factors of r.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2. Let p be l(-4). Let z = 7 + p. Suppose -b - z = 1. Are b and -13\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.435 - -4.135. Which is the second smallest value? (a) 0.1 (b) 4 (c) 267 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 19. Sort v, -1\/2, -1\/5 in descending order.\nAnswer: v, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - 2*r + (3*r - 3*r + r)*(-2 + 0 + 0) - 3*r + 0*r - 2*r)*(2*r - r - 2*r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 + 22*p + 85. Let m be b(-30). Let r = m + -416. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 13758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8242.33 years?\nAnswer: 8.24233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 328, 474, 622, 772?\n\"Answer: p**2 + 141*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 232557 divided by -3471\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 + 47 = -4*x. Suppose w + x = 5*w. Suppose -q + w = 4*q. Which is the biggest value? (a) -1\/5 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + w - w + 4*w + 168 in the form v + a*w and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2694, -5474, -8252, -11028, -13802?\n\"Answer: o**2 - 2783*o + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/5 + 2624*m**4\/5 + 3141*m**3 - 7874*m**2\/5 - 52372*m\/5 - 31416\/5 = 0 for m.\nAnswer: -2618, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-70)\/(-8)*5854\/(-8781).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 - -0.7. Let s = -1.1 + -2.9. Let h = 2.8 - 3. What is the nearest to b in 3\/5, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56916, 56891, 56886, 56913, 56984?\nAnswer: 57111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 149576403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 42901378?\nAnswer: 128704134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-2 + 8108\/4052)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwkwewjwwwweeevw. What is prob of picking 1 e, 1 v, and 2 w?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568175177?\nAnswer: 179, 3174163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 - 48*b**3 + 315*b**2 = 0.\nAnswer: -21, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*r**2*v**4 + 2*r**2*v**3 - 5*r**2*v + 747*r**2 - 3*r*v - 2 wrt v.\nAnswer: -1152*r**2*v**2 + 12*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40950, 40940, 40920, 40884, 40826?\nAnswer: 40740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11701\/11 + -1065. Do -1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/12)\/((-36)\/7668*-71)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10\/31 (b) -2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -26, -30, -26, -8, 30, 94?\n\"Answer: f**3 - 5*f**2 + 2*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3430*o**2 - 35*o - 35. Let l(w) = -381*w**2 + 4*w + 4. What is -35*l(x) - 4*z(x)?\nAnswer: -385*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*a)*(-89 + 74 + 50)*(3 + 3 - 3)*(5 - 3 - 1).\nAnswer: 315*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let v(f) = -194*f. Determine j(v(h)).\nAnswer: -75272*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdksakdglkkdd. Give prob of sequence ka.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9*8)\/((-144)\/24). Which is the third smallest value? (a) -0.5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -819969 - -7970969. Round q to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32658, 32606, 32552, 32496, 32438, 32378, 32316?\n\"Answer: -w**2 - 49*w + 32708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 8. Calculate k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/6)*j**(-12\/11))\/(j**(-3\/7))**(2\/19) assuming j is positive.\nAnswer: j**(-1865\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 17*t**2 + 63*t + 64. Let x be f(8). Let m(p) = p**2 - 28*p - 293. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 24*t + 63. Let j be d(4). What is the remainder when j\/(4\/36*-3) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*b + 30 = 0, -3*m + 5*m - 12 = 5*b. Suppose -1313 - 1933 = -m*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7109, -7108, -7107, -7106, -7105?\n\"Answer: v - 7110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 3*sqrt(19)*2 + (sqrt(95)*1 + sqrt(95) - sqrt(95))\/sqrt(5) + -5.\nAnswer: -5 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*o - 492*o - 656*o to j + p*o and give p.\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2. Suppose 0*t = -h*t + 184. Calculate the greatest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -3.46 (c) -36 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408314829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2245 - -0.1.\nAnswer: 2245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/((-1)\/(-9)) + 23. Let k be (6*x\/(-18))\/((-1)\/3). Solve -k = 3*c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.000327 - 72. Round p to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w**4 - 2*w**3 - 6*w + 2*w**3 - 2*w wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(75) + sqrt(75) + 2)**2)*2 + 3 + 1.\nAnswer: 80*sqrt(3) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.1. Let j = -0.47 + f. Which is the second biggest value? (a) -4 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 4806.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69587719 by 6509.\nAnswer: -10691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1869, 1870, 1887, 1926, 1993, 2094, 2235, 2422?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7646.903 rounded to the nearest 100?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59\/4 of a tonne?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-13))**(6\/19))**35)**19 assuming a is positive.\nAnswer: a**(-2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10261 + 18031. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 3*g + 5*g)*(1 + 1748*g - 954*g - 1193*g).\nAnswer: 798*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/143 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -133*k**3 + k**2 + 2*k + 1. Let d be u(-1). Suppose -502 = -4*p + 2*i, 2*p - 47*i + 50*i - 287 = 0. Let l = d - p. Solve 0 = l*w - 13 - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41066721*i**3 - 29278499 wrt i?\nAnswer: 123200163*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/4)*i))**(1\/11)*i**11*(i**(6\/11)\/i)\/i)**(-2\/121) assuming i is positive.\nAnswer: i**(-419\/2662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321 by -3.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (1 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 41912?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 55*r + 15. Give z(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j + 0 - 34*j + 10*j + 1. Let l(p) = p. Give l(z(m)).\nAnswer: -9*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -117*z + 75. Let o be y(4). Let b = 393 + o. Let h be (-6)\/4 + (1 - 0). What is the third smallest value in h, b, -20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79685, -79683, -79681?\n\"Answer: 2*z - 79687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.265 + -2.735. What is the smallest value in q, -2, -78\/7?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9)*1*4\/(-8). Let k = 23\/39 + -12\/13. What is the closest to k in -0.2, u, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51508 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 8*o**2 - 7*o + 8. What is m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -246763, -246754, -246733, -246694, -246631, -246538, -246409, -246238?\n\"Answer: r**3 + 2*r - 246766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 + 5*h + 2. Let g be k(-7). Let d = g - -81. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1848 - 966. Let t = 1761 - c. List the prime factors of t.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**2 + 2175*h - 1086 = 0.\nAnswer: 1\/2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 8, g: 2, m: 2, w: 6, e: 1, z: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d4809 (base 16) to base 10.\nAnswer: -2967561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+192008\nAnswer: 192007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1906*a**5*g**2 - 923*a**3*g**2 + 42724*a**2*g**2 + 57*a**2 wrt a?\nAnswer: -114360*a**2*g**2 - 5538*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1389716, -1389717, -1389718, -1389719?\n\"Answer: -a - 1389715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 468128.\nAnswer: 5\/468128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 111 = -3. Suppose -a = 5*w + 33, -w = 4*a - a + p. Is (-400)\/a - 4\/18 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182722.\nAnswer: 2, 103, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 769467 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:38 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5032650*v**4 + 4545207*v**2?\nAnswer: -120783600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d - 135 = 109*d. Solve 16 = 4*z, -4*z = d*y - 8*z + 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27889, 3, -2, 16, 2, 5 in ascending order.\nAnswer: -2, 2, 3, 5, 16, 27889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 2*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92961.55 and -0.1?\nAnswer: 92961.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*g**3 - 498 - 487 + 2*g + 982)*(-3*g**2 + 2*g**2 + 0*g**2).\nAnswer: 79*g**5 - 2*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-18) - (-4)\/6. Suppose 5*i - i - 3*t - 3 = u, 0 = 5*t + 5. Suppose -3*f + 6*f = i. Solve a - 2*o + 10 = f, 3*o = 3*a + 4*o + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -23*a**2 - 46*a - 71. Let y(j) = 4*j**2 + 8*j + 12. What is 6*o(u) + 34*y(u)?\nAnswer: -2*u**2 - 4*u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 6 + 10. Calculate the remainder when 13 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176369.2 + 176369.26300735. Let v = m - 0.063. Round v to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -95\/2. Let q = 28327\/6 + -4736. Calculate the common denominator of s and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**2*n**4 + 8*b**2*n + 40296*b**2*z + 53*n*z wrt n.\nAnswer: -16*b**2*n**3 + 8*b**2 + 53*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x - 20 + 3*x + 20 as o*x + s and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + 9.4. Let u = -10.4 + t. Let n be 12\/42 - 36\/77. What is the biggest value in u, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*o - 1)*(-5*o - 3*o - 3*o)*(2*o - 2*o - 3*o) to the form z*o**2 + h*o + q + t*o**3 and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {f: 7, i: 3, p: 4, y: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -716.64 + 702. Let b = -16 - c. Round b to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/14 and 77\/1726?\nAnswer: 12082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**5 - 26*l**4 + 371*l**2. Let k(i) = -2*i**4 + i**2. Let f(p) = h(p) - 6*k(p). What is the third derivative of f(g) wrt g?\nAnswer: 240*g**2 - 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*t = 2, -2*c + 0*t + 3*t = -29. Solve 0 = 2*p - 4*u + c, -6 = -p - 5*u + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929\/265 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d - 36. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/15)\/(-4)*(-7)\/294*-7.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g + a, a = -4*g - g + 56. Suppose 0 = 3*c + 16 - 4. Let u be (-2)\/c - 964\/(-8). What is the highest common factor of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -76*h - 2. Let f(s) = s - 663. Give f(q(m)).\nAnswer: -76*m - 665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 19. Let x(f) = 7. Let d(c) = -3*j(c) + 8*x(c). Let z(y) = 5*y**2 - 15*y + 7. Let s(k) = 3*d(k) - z(k). Solve s(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1170, 1169, 1168?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 1936, 4352, 7744, 12118, 17480?\nAnswer: 23836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 2*o + 13. Let b(c) = -8*c**2 - 5*c - 38. Let i(w) = -4*b(w) - 11*u(w). Calculate the least common multiple of 14 and i(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*1)\/((-272)\/(-132) - 2). Let w = m + 35. Suppose 3*d**3 - 1 + 7 + w*d**3 + 4 - 15*d = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 + 11*r**4\/12 - 19*r**3\/2 + 4*r**2 - 10. Let o be x(3). Is o less than -5\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347327513 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1776)\/(-60) + -6 + (-2)\/(-5). Suppose -18688 - 14672 = -x*n. List the prime factors of n.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/6 + 356*l + 2. Let b(j) = 1737*j. Determine w(b(p)).\nAnswer: 6034338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 12925, -4\/5, 4, -4\/3, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and 66795397.522.\nAnswer: 66795380.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 - -4)\/(-2))\/(-2). Let p be 2\/4*(0 + f). Suppose p = -5*k - 10, 3*g = g + 2*k + 408. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2 - 1 + 2*u - u. What are the prime factors of f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1.2 (b) 1 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68 and 1.4.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and -8*(-55)\/88 - -47?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let d = 3.3 - 3.5. Let z = d + 0.5. Sort z, x, -4.\nAnswer: -4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9516 + 9515.91897. What is r rounded to 3 decimal places?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -3*h. Let m(s) = 8*s**2 + 4*s + 1. Let d(r) = -17*r**2 - 9*r - 2. What is h*d(a) + 13*m(a)?\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((42\/9)\/((-4)\/(-36)))\/1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 131 - (0 - (43 - -8)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -16 + (43 - 14) + -36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 27*y**2 - 24*y - 18. Let d be x(28). Let k = d - 80. Calculate the highest common divisor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k + 480 = w + 4*w + 194 - 311, -12 = -2*k - 5*w for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7765018.\nAnswer: 2, 821, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x. Solve 4*u + 4 = -x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22202303231 - 12?\nAnswer: -22202303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*(sqrt(425)*1 - sqrt(425)) + sqrt(425) - ((sqrt(425) + 0)**2*-3 - sqrt(425))) + -3)*6.\nAnswer: -22896 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 4*r. Let s be g(6). Suppose 5*q = -s + 325. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from dyydyyididyyddd?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffyffffyff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -113\/3*n**3 + 0*n**4 + 2 + 0*n**5 + 67*n + 0*n**2 + 179\/42*n**7 + 0*n**6. Find the second derivative of c(l) wrt l.\nAnswer: 3580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + (0 - -1). Let y(u) = -u**3 + 9*u**2 - u + 10. Let b be y(9). Sort t, 5, b in increasing order.\nAnswer: b, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4420 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 33. Let l be ((-42)\/(-9) + -4)\/p. What is the closest to 0 in -0.2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78929342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 9*g - 11. Let y be x(-7). Let v(l) = -l - 2. Determine v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4144 + 20718\/5. Let w = -1.5 - -1.2. Let y be (-2)\/(-10) - 2\/5. What is the fourth smallest value in w, i, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1268 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 5. Let g be h(-4). Let t be (4\/5)\/(6\/g). Factor t - y**4 + 2*y + 2*y**3 + y**3 - 5*y - y**2.\nAnswer: -(y - 2)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1719081939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -299?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 g when four letters picked without replacement from gggggggggggvggg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 480\/(-128) - 1\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 5. Let b(h) = 5*h. Calculate i(b(m)).\nAnswer: 10*m - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n. Let x be d(2). Suppose 0*c + x = 2*c. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + q = 3*b - 33, -b - 4*q - 22 = 0. Let i be (-15842)\/b + (-8)\/(-10). What is the remainder when 101 is divided by i\/45 + (-1)\/((-9)\/(-2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -6.1. Let o = -5.5 - q. What is the nearest to -1 in o, 4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32745854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) + sqrt(2560) + sqrt(2560) + sqrt(2560)*4 + sqrt(2560))\/(sqrt(392)*-1 - sqrt(392)).\nAnswer: -32*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1048, 5, -2\/7, 0.1 in decreasing order.\nAnswer: 5, 0.1, -2\/7, -1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 1292*r\/13 + 208658\/13.\nAnswer: 2*(r - 323)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322*p**5 + 1757*p**2 - 38537*p - 33 wrt p.\nAnswer: -6440*p**3 + 3514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 22.17. Let u = h - 0.53. Let k = 0.70000056 + u. Round k to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 174 = -48*z + 1218 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.83 + 5.1. Let x = 0.23 + v. Which is the second biggest value? (a) -2 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - w**2 - 4*w - 7 - 5*w - w. Let l be i(-5). Solve -2*a - l*a = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 24928*u**3 + 2086896*u**2.\nAnswer: u**2*(u + 84)*(u + 24844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*h - 320, 7*p - h + 304 = 12*p. What is the highest common divisor of 864 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/20 + j**4\/2 + j**3\/6 - 3*j**2\/2 + 9*j. Is 7 a factor of r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 3. Let r be 19 - 20 - (-1 + -2). Suppose -a*x + g + 174 = x, -128 = -3*x + r*g. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6031*n*w**6 + 7*n*w**3 + 117120*n*w**2 wrt w.\nAnswer: -723720*n*w**3 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*h + 61 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121166990.\nAnswer: 2, 5, 7, 17, 19, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81968581*o**2 - 22326891*o?\nAnswer: 163937162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*y. Suppose -2*r + 11 = 1. Find the third derivative of y*c**2 + 0*c**2 - c**2 - 3*c**2 + c**r wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/6*(5 - 417\/15). Suppose 12*x + 16 = g. Solve 4*p + 41 = -5*t, x*p + 3*t = -49 + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35860 = 4*p + 35852. Solve -8\/3 + 9*k**3 - 4*k + 6*k**p = 0 for k.\nAnswer: -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*s = -12, -4*t + 0*s + 4 = -s. Let n be 22 + t\/(-1) - 1. Let v = 36 - n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3512 - -5043. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33637 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffvccfgcg. What is prob of sequence gfcg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.586 + -0.086. Let p = -0.9 + t. What is p rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let p(r) = -476*r**2 - 4932*r + 4932*r. What is x(p(w))?\nAnswer: -1428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + 3*w**4 + 3*w**4 + (7*w + 16 - 16)*(3*w**3 + w**3 + 0*w**3) - 5*w**4 - w**4 + 3*w**4 in the form s*w + g*w**3 + i + u*w**2 + k*w**4 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(4) + sqrt(4) + -1*sqrt(4)) - (5 + 0 + sqrt(19)))*-4)**2 - (-1 + (sqrt(19) - 3*sqrt(38)\/sqrt(2))*5).\nAnswer: 10*sqrt(19) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 12*q + 11. Let m(y) = y**2 + 11*y - 10. Let g(p) = -4*m(p) - 3*n(p). Calculate g(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w - 5*k - 25, w + 7 = -3*k. Let c be 16\/100*w\/4. Let y(p) = p**3 + 7*p**2 + 7*p + 11. Let i be y(-6). Put c, i, 3 in increasing order.\nAnswer: c, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + ba?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.87006691 + 62.87. Round h to 6 dps.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176) + -4)*2)**2 - 1*(2 + (3*sqrt(176))**2).\nAnswer: -782 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**4\/3 - 335*a**2 + 458*a - 2. What is the derivative of s(f) wrt f?\nAnswer: 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 + -140. Let t be ((-240)\/(-28))\/((-6)\/g). Let v = -16 + 21. Calculate the greatest common divisor of v and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1760.6 - -1.13.\nAnswer: -1759.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13352 and -2176370?\nAnswer: 2163018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/4)*g*(g\/(g*g**(3\/2)*g*g))\/g*g\/((g\/g**(-1\/8))\/g)*g*g\/(g**8\/g*g) assuming g is positive.\nAnswer: g**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000020122 (base 3) to base 8.\nAnswer: 46626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**2 + 3*h + 0 - 1\/15*h**6 + 0*h**5 + 0*h**4 + 1\/2*h**3. Find the second derivative of q(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3520, -7157, -10874, -14683, -18596, -22625, -26782, -31079?\nAnswer: -35528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82902 is divided by 171.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8619 = 659*k - 698*k. Suppose 2*x + 2 = -q - 0*q, 4*x = -20. What is the remainder when k is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**2*c)**(11\/6)*(c**(-5))**1 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(r**3 - r**3 + r**3) + r**3 - 5*r**3 + 2*r**3 + 2*r**2 + 25*r**3 + r - 3 - 47*r**3 + 23*r**3.\nAnswer: -2*r**3 + 2*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260536 is divided by 1476?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 63*l**2 + 117*l + 110. What is the units digit of t(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 3*s**2 - 30*s + 1. Let n be b(-6). Is (n\/(-21))\/(2\/(-6)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 284*c**2 + 384*c + 14042. Determine y(-143).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3914)\/1648*(-5 + 8 + 1)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let v(n) = 2*n**2 - 7*n. Let m(h) = 5*i(h) + v(h). Give m(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -35997, 1\/5, -123?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19e73 (base 15) to base 11\nAnswer: 58339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112043 + 40240094.\nAnswer: 40128051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -105*y + 8. Let b(h) = -21*h + 1. Determine -2*a(u) + 11*b(u).\nAnswer: -21*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 31 - (-285)\/12. What is the nearest to -0.3 in 2\/5, 23, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*q**2 + 72 - 65 - 113*q**2 + 72)*(-q**2 + 0 + 0) to r + k*q**4 + w*q**2 + g*q**3 + n*q and give w.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.646798714 + -5.\nAnswer: -5.646798714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 6 + 7)*(-i**4 - i**4 - 2*i**4).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + o + 10 = 2, 4*o + 24 = 4*y. Solve -r = 0, -11 = -3*x - r - y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 4*r**2 + (-r + 2*r - 2*r)*(-999*r - 399*r + 1818*r).\nAnswer: -416*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4) + 5\/(-20). Suppose l - x = -3, 0 = -4*l - 5*x + 4*x + 3. Let o be (4\/1)\/(l - t). Solve -3*d - 22 = -5*j, 2*j + o*d = j + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -257, -950, -2215, -4202, -7061, -10942?\nAnswer: -15995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6*f - 1832, t + 0*f - 904 = f. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20164 * -1.4\nAnswer: -28229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**2 - 10\/3*v**3 - 14 + 0*v. Let b(r) = -r**2. Give b(u(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 157*d**2 + 1599*d - 32. Calculate v(-10).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153a69b (base 15) to base 9.\nAnswer: 31833012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 10 - (0 + 3). Let n = d - 0. Suppose -n*c + 6*s + 20 = s, 0 = 3*c - 5*s - 16. Solve -5 = c*t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*m**2 - 9*m**4 - 20*m**2 + (m**2 - 4*m**2 + m**2)*(-m**2 + m**2 - m**2) + 0*m**4 - m**4 + 2*m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/9 - 40*b**3\/9 + 5252*b**2\/9 - 10376*b\/9 + 574 = 0. Calculate b.\nAnswer: -63, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 2. Let z be r(-1). Suppose -z*g + g + 39 = 0. Suppose g = -4*l - 33. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 - 496*u\/3 - 2048\/3.\nAnswer: 4*(u - 128)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - 34*i + 157. What is r(4)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-849)\/(-1132))*(-70)\/(-84)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*w, -2*c = 5*w - 1454. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007166686 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*w + 1694*w = -96 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Suppose 40 = 4*t + t. Let v = t + -15. Let n(c) = c - 5. Let w(j) = 2*j - 7. Let x(r) = v*n(r) + 5*w(r). Give b(x(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - j + 701 = 0, -5*j = 10 - 5. What is the highest common factor of 54 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Let j be 2\/(-8) + v\/4. Solve c + 0 = j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*u + 2*u + 5271. List the prime factors of u.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3644 (base 9) in base 8?\nAnswer: -5231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/45 + 5\/((-175)\/28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 338, 1, -9482, 10 in ascending order.\nAnswer: -9482, 1, 10, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-5 - -19) + 1 + (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*y, 110*y - 108*y = -l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18208939?\nAnswer: 7, 23, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147*i**2*z**3 + 150*z**3 wrt i?\nAnswer: -294*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 - 21*o**2 + 15*o + 6. Let c(t) = -t**3 - 4*t**2 + 3*t + 1. Let s(u) = 11*c(u) - 2*l(u). Is s(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + c**4 + 7*c**3 - 4*c**3 - 4*c**2 - 11*c**2 - 5*c**3 + 4*c + 0*c**2 to n*c**3 + h*c**2 + m*c + i + w*c**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -6. Let y(v) = 7*v - 16. Let p be y(d). What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(4995\/(-15)) - (-496)\/6408\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -35 + 35 + 21.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i + 4*i. Let a(q) = -q + 5 + i*q + 2*q. Suppose -2 = 2*d + 6. Give a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 210281.\nAnswer: -5\/210281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.07 - 2.06882. Round n to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -446 - -450. Solve 3*a - u*o = 17, 5*a + 0*a + 5*o + 30 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 28700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 3, b: 4, h: 7}. Give prob of sequence bjhh.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*i + 1974 - 1976 = 0, 4*r + 3*i - 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13207 - -13054. Is m < -1988\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/49 - -167\/196. Let p(n) be the first derivative of -3*n + x*n**4 + n**3 + 5 - 3\/2*n**2. Factor p(b).\nAnswer: 3*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10\/3)\/b)\/b)**(-4\/7) assuming b is positive.\nAnswer: b**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 362*b - 39.\nAnswer: -362*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144655296, -144655297, -144655300, -144655305, -144655312, -144655321, -144655332?\nAnswer: -144655345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2373? (a) 443 (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12113 (base 4) to base 8\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 15*n + n**3 - 6*n + 50*n**2 to g + o*n**2 + z*n + s*n**3 and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 27*m - 176. Calculate the highest common factor of m and 12386.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*p + 3*o, 0 = -2*p + 7*p - 3*o - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbycccckkybvcv. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 149*z = 4*c - 4135, 5*z - 5*z - 102 = -3*c + 3*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 146441592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 15*z + 1. What is a(-18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:03 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 463 - 5?\nAnswer: 45b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 3*f - 4*f)*(-f**2 - 10*f**2 - 3*f**2)*(f**2 + 6*f**2 - 4*f**2).\nAnswer: -84*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 659, 1303, 1955, 2621, 3307?\n\"Answer: t**3 - 2*t**2 + 643*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 6*u = 546, 28*s - 112 = 35*s - u - 203 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*k + 36, k - 88 = -4*m + 28. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -42 - -35 - (-1 - 244). Let w be 0 - (2 - (-8 + 78)). What is the greatest common factor of w and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -392892, -785783, -1178674, -1571565, -1964456, -2357347?\n\"Answer: -392891*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22635235 (base 9) in base 10?\nAnswer: 11006636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -20 - -9 - -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 717 = 1109 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = i - 30, 107 = 4*l + i + 2. Suppose m + 3*m = -2*c - 4, -5*m + l = -5*c. What are the prime factors of (2\/4)\/(m\/124)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102 and 5.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 41160 to the nearest one hundred.\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-4)\/18)\/(4\/6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 88*s + 7084 = 614*s. What is the remainder when s is divided by 18*2\/8*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*v + 16 = -4*k + 218*v, 4*k - 3*v = -16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/1075295773 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182624376?\nAnswer: 2, 3, 11, 691759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*l = -4 - 2, -3*l = 3*m - 9. Let d(z) = z**3 - 2*z**2 - 3*z + 2. Let v be d(m). Solve 2*p + 20 = -v*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882, -1762, -2642?\nAnswer: -3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -269 times 4\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14688, 14635, 14582, 14529, 14476, 14423?\n\"Answer: -53*x + 14741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1386 + 15066.\nAnswer: 16452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*k + j, 2*j - 1 = -4*k + k. Put 12, k, 1 in decreasing order.\nAnswer: 12, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*x = -75, -3*x + x - 74 = -4*n. Suppose -i = -2*i + n. What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(5*p - 4*p - 2*p) + 0*p - 2*p + p + (0 + 0 - 1)*(p - 2*p - p) + p - 5*p - 2*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 227247899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o - 7*o + 31*o + 2240 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -15. Suppose 0 = -2*f + 3*z + 5, -7 = -3*f + z + 4*z. What is the least common multiple of d and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 - 35*t**4\/12 - 62*t**3\/3 - 571*t. Let b be l(-4). Factor 0 + b*c + 1\/7*c**2.\nAnswer: c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20724 and 25\/364068.\nAnswer: 628745436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.5 (b) 280590 (c) 2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1907*j + 5275*j - 2271*j + (1 - 4 + 1)*(3*j + j - 2*j).\nAnswer: 1093*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l - 2*j, 0 = -5*j + 2*j + 12. Sort 3, l, -8 in increasing order.\nAnswer: -8, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67992\/11 - -6176. Let y = 42\/2441 + -1106436\/3868985. Let u = 2\/951 + y. Calculate the common denominator of w and u.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 1180*i - 8171. Let n be 1\/2*(12 - 2). Suppose -3*c + 4*f + 26 = -26, c - n*f = -1. What is the remainder when u(7) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7 = 5*s + 31, -a + 18 = -5*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*p + 2*p**3 + 31 - 55 + 24 - 82*p.\nAnswer: 2*p**3 - 33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 - 26*f**2 + 126*f - 902. Give k(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 53\/4. Let o = -175 - -1399\/8. Which is the closest to o? (a) -0.5 (b) l (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 7*b = 5*n - 20, -4*b - 3*n - 11 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -907998.\nAnswer: 24\/151333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12670.5 from 4922665.\nAnswer: 4935335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z)**(7\/2)*z**(-4\/11)\/z**(-2\/29) assuming z is positive.\nAnswer: z**(2683\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/40*(-7)\/28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 58 + 0*n + n.\nAnswer: n - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9160 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 8\/(-20)*(-106 + 1). Let k be 24\/40 - 3\/(o\/21). Solve 2*v + 3*v = -k*u, 2*u = -v - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**2))\/o**(-7)*o**(-6)*o**(-1)*(o\/(o\/(o\/o**(-7)*o))*o*o**(-1\/8))\/(o**(2\/13)*o**(-1\/6)) assuming o is positive.\nAnswer: o**(3397\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 - 1 - 33*u + 1 - 3*u**3 + 35*u. Let j(x) = -7*x**3 - 11*x**2 + 4*x. Give 9*i(b) - 4*j(b).\nAnswer: b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -696632 - -245332. What is d rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -27*w + 377. Give o(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710738290 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5849886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*l = l + 76, 2*m + 250*l - 217*l = 652 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than -128678?\nAnswer: -128708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*d = 202, 5*b + 2*d - 39 = 218. Suppose b = 3*f + 9. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(15))\/(sqrt(3) + sqrt(36)\/sqrt(588)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328.11 - 331. Let m = q + 0.89. Is -22 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-208)*((-4)\/(-2))\/((-8)\/164).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -499.1 and -0.11792271762.\nAnswer: -499.21792271762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from borboopyybpbob. What is prob of sequence yb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314715 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5327 + 4732 = -35*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 2*u - 2. Let q be (-9)\/12*4\/(-1). Let v(g) = g + 0 + g**2 - q + 2. What is -2*v(f) + y(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/21)*l**(-1)\/l)\/((l\/l**(-1\/14))\/l**(-1\/2)) assuming l is positive.\nAnswer: l**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14233 + -14236. Which is the nearest to 0? (a) 17 (b) 5\/4 (c) v (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-21)\/6) - -3. Suppose -50 = -5*l - r*l. Suppose 2*j - 267 = -l*c, c - 2 - 1 = 0. Calculate the remainder when j is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4*1\/1. Let f = 153 - 154. Sort d, 1, f.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14424, 29398, 44356, 59292, 74200?\nAnswer: 89074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*m**2 - 320*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:59 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119594 by 2.\nAnswer: -59797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 - -0.1. Let b = v + 5.03. Sort 1\/2, 2, b.\nAnswer: 1\/2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 45. Give a(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15130 + -13106. Calculate the smallest common multiple of r and 322.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -83?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose -4*x - 17 = -9. Which is the third biggest value? (a) x (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6119 is divided by 6108?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 9\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 780018688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56035.89mg?\nAnswer: 56035890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.25\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(6)*-1)*-3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 3, n: 1, b: 5, p: 3, z: 2}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 10 + 8)*(2 + 0 + 0)*(m**2 + 0*m**2 + 4*m**2) as c + r*m**2 + o*m and give r.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - p = -6, -5*y + 3*p = -0*p - 24. Let f = -5 + y. Let d(v) = -v**3 + v**2 + v + 2. Is 12 a factor of d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-1 - 9 - (-29 + 23)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 3*r**2 + 0*r**2)*(-1992*r + 1289*r + 2293*r + 470*r + 2661*r).\nAnswer: 4721*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(33)*1)\/sqrt(3) - sqrt(11) - (4*sqrt(44)\/sqrt(4) + sqrt(11)))**2*6.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-136)\/(-32))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.101223 and -0.2.\nAnswer: -2.6202446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*r - 13427, 281*r - 279*r - 13430 = -4*m. What is the remainder when m is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and 0.02746.\nAnswer: 1.2357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4266 - 4536 = -18*q. Solve -q*f - 4*d = -10*f + 1, 2*d - 1 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -54. Let u = n + -8. Suppose 0 = -4*g + g + u. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 3*y + 4*y + y + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csyl when four letters picked without replacement from yfyffyyylcslfcfl?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1242 - 882. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**3 + 2*n**3 + 4*n**3)*(138*n - 120*n - 263*n)*(4 + 2 - 5) as d*n**2 + w*n**4 + r*n + l + c*n**3 and give w.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(21 - 21 + 140*g)*(-g + 4*g - g).\nAnswer: 280*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 95240 (b) -16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:09 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0) + 102 + (-2)\/1. Suppose 101*g - q*g = 249. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 693558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32221 + -211301?\nAnswer: -310122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -21.1. Which is smaller: 31\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 5 - 4)*(-4 + 0 + 3) + 535 - 292 - 352)*(-5*f + 2*f + 2*f) in the form q*f + r and give q.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l - 10 = 0, l + 17 = 3*f. Suppose 3*b = 4*q - 0*b - 154, q = -f*b + 27. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29399 > -29399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157812 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 12*m**2 - 10*m + 1. Let z be p(11). Let j be (z\/20)\/(3\/2). Factor 2\/5*k**3 + j*k**4 - 2\/5*k - 2\/5*k**2 + 0.\nAnswer: 2*k*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 818.9 + -819. What is the second smallest value in 0, -4, 1\/47, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -945918.971 to the nearest 1000.\nAnswer: -946000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 9. Let t = 1 - y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5744a?\nAnswer: -57448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2064 - 2055 = m. Let s(b) = 9*b + 97 - 16*b + m*b. Let d(j) = 2*j**2. Give d(s(u)).\nAnswer: 8*u**2 + 776*u + 18818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 65 = 10*w, -5 + 15 = -25*u + 10*u + 13*u for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = p - 171. Suppose p = 3*n + 3*t, -4*t = -3*t - 2. Let i = 82 - n. Solve 7*h - 29 = 2*h - 3*x, 0 = -5*h - 5*x + i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 10*w - 5. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20736 and 128667648.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10880362247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*b**3*l**2 + b**3 - 39*b**2 - 2052*b*l**2 - 3*b*l - 4*l wrt b.\nAnswer: 432*b*l**2 + 6*b - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13680)\/23940)\/(-1*20\/(-154)) - 7\/(-1)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12361127?\nAnswer: 1987, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65528 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, l: 2, q: 5, k: 5}. What is prob of picking 1 l and 3 k?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -645 - -80312.\nAnswer: 79667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryjruwx. What is prob of picking 1 y, 1 x, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 6 + 12. Let r(m) = -6*m - 2. Let i be r(-3). Let g be ((-2)\/i)\/(2\/(-4)). What is the closest to 2 in g, x, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*0.882304.\nAnswer: 17.64608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/j**(-1\/19)*j)\/j)\/(j**11*j))\/(j**(-1\/3)*j**(-6)))**(8\/7) assuming j is positive.\nAnswer: j**(-1648\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1680)\/448)\/(1\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4. Let x be p(3). Let q(k) = -1 - 17 - 3*k + 11 + k**2. What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7111, -7352, -7671, -8062, -8519, -9036, -9607, -10226?\n\"Answer: h**3 - 45*h**2 - 113*h - 6954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -44266027 equal to -44266029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3860, 7719, 11578, 15437, 19296?\nAnswer: 23155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121767\/5 + -24492. Let l = o + 139. Let u = 4 - 2. Which is the smallest value? (a) u (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7030.227cm to kilometers.\nAnswer: 0.07030227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 2, c: 3, g: 4, s: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 260 - -5358?\nAnswer: 55b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4\/((-40)\/(-106))*5)\/(6 + -5)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5171 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27710 = -4*w, -5*w - 11052 = -i - 1828. Is i a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8022 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (-18)\/(-8). Suppose 4*t - 8 = 2*b + m*b, -2 = 2*t + b. Differentiate -5 - 4*p**4 - 3*p**4 + t*p**4 + 0*p**4 with respect to p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 1. Let g(j) = -j**2 - 27*j - 54. Let i(k) = g(k) - 2*q(k). Let t be i(-28). What is the remainder when 4\/(-14) + (-36)\/t + 24 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647619 = -84*o + 1024052 - 425363. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*m**2*t**2 + 2*m**2 + 35562*m*t**2 - 27*m - 47307 with respect to t.\nAnswer: 60*m**2*t + 71124*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62385 is divided by 2495?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/4 + l**3\/3 + 5*l**2\/2 + 4*l + 1465. What is o(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21836459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -496 + 495 - (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 10. Let j be g(7). Suppose 2*a = -j + 15. Suppose -a*x = -2*x + 2*z - 202, 3*z - 197 = -4*x. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/7 (c) 86 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 50. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 2*w**2 + w - 1. Let v(u) = -2*u**3 - 10*u**2 + 6*u + 7. Give -v(i) - 4*y(i).\nAnswer: -2*i**3 + 2*i**2 - 10*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*r + 8, -2*h + 4*r = 2*h. Suppose z + h*z = 18. Suppose l + z = 2*c - 4, 3*l = 3*c - 12. What is the smallest common multiple of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 32. Let n be r\/(-2) + 2 + -4. Suppose 3*x - 5*p = 354, n*x - p = -4*p + 556. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a + 3*a**2 + a**2 + 0*a**2. Let o(d) = 10*d**2 - 22*d. Let m(k) = -12*b(k) + 5*o(k). Solve m(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -538 - 350. Let p = -333 - u. Is p a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 94, 148, 216, 304, 418, 564?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*n = -89540, 2*p - 3*n + 35849 = 2*n. List the prime factors of p\/(-56) + (-1)\/((-21)\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.256046*52.\nAnswer: 13.314392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 3 (b) -2 (c) -2\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 14) to base 6.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 43*q - 34*q. Solve -p - z - 1 = 0, q = z + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a + 12 - 8*a**3 - 10 + 4 + 2*a**2 + 8*a**4. Let f(u) = 7*u**4 - 7*u**3 + u**2 - 5*u + 5. Let p(z) = -6*f(z) + 5*w(z). Factor p(r).\nAnswer: -2*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - m - 23 = -3, 36 = -4*w - 5*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -68*l + 65. Let p be d(1). Put -31, 0.6, p in descending order.\nAnswer: 0.6, p, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 28*k + 23 = -24*k, -5*p + 3*k - 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4090445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4989745, 9979377, 14969009, 19958641, 24948273, 29937905?\nAnswer: 34927537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*b**2)*(0 + 2 - 3) - 3*b - 3*b**2 + 3*b + (4*b - 3*b - 3*b)*(3*b - 4*b + 3*b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 874888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 + 0*m**2 - 5*m - 253 + 18*m**3 - m**2 + 245 + 3*m**3 as h*m + c + k*m**3 + q*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -124526 divided by -1\nAnswer: 124526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-8) + 2\/(40\/75). Let k(y) = 29*y + 4. Does 13 divide k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:14 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159177 is divided by 436?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29470 and 245?\nAnswer: 206290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 106205?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 + 2*l\/3 + 5\/6 = 0. What is l?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 197*b + 4740. What is y(-22)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640746.\nAnswer: 2, 17, 101, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 211, 161, 97, 31, -25, -59?\n\"Answer: 2*i**3 - 19*i**2 - 7*i + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4245 - -16?\nAnswer: -4226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-3))\/(-1) + 0. Let p be j\/8 - 3\/(-6). Solve -4*a + 0*a = 4, 4*f + 3*a - 17 = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 2:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + n**3 - 2*n**3)*(-102*n + 1772*n - 178*n)*(-4*n - 4*n + 8*n - 7*n).\nAnswer: 20888*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (-696)\/(-56) + -2*6\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.8763 rounded to zero decimal places?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + 0)*((2 + 3 - 4)*(2 + j - 2) + (3 - 4 - 1)*(3*j - 4*j + 3*j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*62\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7496 - -7496. What is the fourth biggest value in -0.3, -64, c, 51?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 48816264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10) - 15\/((-150)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -5, 8 in decreasing order.\nAnswer: 86, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (11 + 20 + -39) - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4 - 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 8*w**2 - 9*w + 5. Suppose 7*c - 29 - 13 = 0. Is 20 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 15 - 23*a**2 - 27*a**2 + 85*a**2 - 28*a**2. Let y(x) = -x**2 + x - 1. Let k(o) = 6*y(o) + z(o). What is k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 6 = 401. What is the remainder when w is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.289221 and 10.\nAnswer: -62.89221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m + 4. Suppose -6 + 3 = -3*d + b, 0 = -m*d - 2*b + 16. Solve 0 = -d*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2380 and -17\/48600.\nAnswer: 5783400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64701 and 37209?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. What is the tens digit of s\/(-6) - 186\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r**3 - 21*r**2 - 5*r - 8. Let g(h) = 29*h**3 - 16*h**2 - 4*h - 8. What is 3*g(f) - 2*t(f)?\nAnswer: 31*f**3 - 6*f**2 - 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 5*r**4\/12 - 7*r**3\/3 - 2*r**2. Let f be (-4)\/3*(-9)\/4. Let o(b) = 2*b - 3. Give f*v(x) - 14*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/13))\/(q\/q**(2\/7))*(q**(2\/7)*q)**4 assuming q is positive.\nAnswer: q**(480\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6156794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*d**5 - 4*d**2 - 285*d + 2 wrt d.\nAnswer: -1340*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13304 + 4*u**2 - 4675 - 5579 + (1 + u - 1)*(0*u + 3*u - 2*u) to the form w*u + i*u**2 + t and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2448*w**2 + 1508*w**2 - 4203*w**2 - 3019*w**2 + 9646*w**3 wrt w?\nAnswer: 57876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.08 - -4.1. Let i = 0.1 - 0.1. Is i less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170*(-95)\/5168)\/(5\/(-6))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-5 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69647 divided by -1.\nAnswer: -69647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43617?\nAnswer: 3, 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 18, y: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1\/(-2)*-2. Let q(l) = 1 - l + 5*l**3 - l**3 + 2*l**2 - l + 19*l**y. Does 7 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11809462 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 489089 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0689202 - -0.0692. Round f to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 2, 4\/3, 0.2, -1\/4 in descending order.\nAnswer: 2, 4\/3, 0.2, -1\/4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.1. Let r = 43 - 41. Let y = 1142 + -1143. Which is the fourth smallest value? (a) -4 (b) r (c) y (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**6 - 3*a**5*w**3 + 81*a**2 - a*w**3 - a*w**2 wrt a.\nAnswer: 960*a**3 - 180*a**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) + (-56)\/7. Let k(n) = 2*n**2 + 10*n - 3. Let g be k(j). What are the prime factors of g - (6\/3 - -1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {z: 13, e: 1, q: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 6*u - 5*u)*(2 - u**2 - 2)*(-3*u**2 + 2*u**2 + 0*u**2 + (-3*u**2 - u + u)*(-4 - 4 + 4) - 3*u**2 + 5*u**2 - u**2 + (-1 + 1 - u)*(5*u - 4*u - 2*u)).\nAnswer: 104*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2523*s**3 + 1302*s**3 + 1264*s**3.\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15033.\nAnswer: 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2052*q + 237*q - 545*q.\nAnswer: 1744*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**3 - 2*c**2 + 3771*c + 5183927 wrt c?\nAnswer: -12*c**2 - 4*c + 3771","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1001 = -2*c - 1009 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 17, 7, -13, -1\/4.\nAnswer: -13, -1\/4, 7, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21375 by -1425.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -321463*x - 1. Let b(m) = m. Give q(b(j)).\nAnswer: -321463*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b864 (base 12) to base 9\nAnswer: 30674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Let o(x) = -3*x**2 - 2*x. Let d be o(l). Let c = d - -78. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*l - 119290 = -604*l. Solve 2*d - q - 795 = -l, 3*q = -2*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + 2 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20582 at most as big as 20582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1946918864 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 379 in -4\/7, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-4)\/208*384\/(-64))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11966.9946 + -11912. Let r = b + -55. What is r rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 403. Let n = o + -173. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*y + 63 - 19*y - 18*y)*(-4*y**2 + 5*y**2 - 5*y**2) + (-2 + 1 - 3 + (-2 + 6 - 2)*(-6 + 3 + 1) + 3 - 5 + 1)*(3*y**3 + 4*y**3 - 6*y**3).\nAnswer: -5*y**3 - 252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -14. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3443 (base 5) to base 4.\nAnswer: -13302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232194 is divided by 115906?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.592741 + -74.2710402?\nAnswer: -74.8637812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.38 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 - 74*l**3\/3 + 317*l**2\/3 + 130*l.\nAnswer: -l*(l - 5)*(l + 1)*(l + 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421627*b + 6085*b**2 + 421627*b + 159*b**2 to k*b + w + r*b**2 and give r.\nAnswer: 6244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllddld. What is prob of sequence ld?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1147734 (base 9) to base 12.\nAnswer: -260257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(-2*q + 2 - 2) + 11 + 5*q - 11 as l + p*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 11 - 7 + 3. Let o be p(4). Is 3\/2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let g(q) = -121*q + 78*q - 118*q. Let v(l) = -20*l. Let f(p) = -3*g(p) + 23*v(p). Determine c(f(s)).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - -19) + 2 + 509 + 5. Which is greater: 523 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-eight fifths of a minute?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9348.6*-5009.\nAnswer: -46827137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 234749699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 2*y**2 + y + (-3 + 4 - 3)*(-2*y**2 - 6 + 6).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.8 - -40.7545. Let h = 0.0755 + u. What is the third smallest value in -3, -6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25289 - 25288.6. Which is the third smallest value? (a) 1\/36 (b) 6\/13 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 3.97. Let z = 4.2 + u. Let o = -603 - -606. Which is the closest to 1? (a) 5 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**4 - 21*b**2 - b - 3. Let y(a) = -a**2 - 1. Let z(o) = c(o) - y(o). Find the second derivative of z(m) wrt m.\nAnswer: -12*m**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 282 = 4*j - 37, 2*j - 157 = -3*l. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -10. Suppose 4*k - 24 = -b. Suppose k*r = 3*r - 1. Let i(j) = -3*j**3 + j**2 - j - 1. Calculate i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*42\/45*(-12)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*n, -3*i + 5*n = -40. Let v be 2\/(-4) + 7\/2. Suppose -14 = -4*o - v*j - 4, -5*j = i. Solve -2*d - 6 = -5*r + o, 0 = 5*r - 4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/10 - y**5\/5 - 10*y**2 + 25*y + 1. What is the derivative of n(g) wrt g?\nAnswer: -12*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14*12\/210*-5. Let w(u) = 85*u + 86*u + x*u**2 - 2 - 170*u. What is w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and 37.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -66. Let h(l) = l**3 - 9*l**2 - 19*l - 16. Let p be h(m). Is p > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Let y(g) = -g**2 - 22*g - 57. Let j be y(-19). Suppose -6*i = -j + 6. Which is the nearest to 0.1? (a) 0.4 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2)*g)**(-2\/51)*(g*(g*g**(-3\/5))\/g)\/(g**(-7)\/g))\/(((g**(1\/9)*g)\/g)\/((g**(-1\/9)*g)\/g)*(g\/g**(1\/2))**(-9)) assuming g is positive.\nAnswer: g**(19097\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 11*s**2 - 9*s + 25. Let z(r) = r**3 - 6*r**2 + 4*r - 12. Let p(a) = 3*i(a) + 7*z(a). Let o be p(9). Solve o*x - 5*x - 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 + 4*x**2 + 9*x - 12. Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - c + 2*c + 32 = 0, -k + 8 = -3*c. Let t(s) = s**3 - 10*s**2 + 10*s - 2. Let b be t(9). Is b at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8876286 and 139\/78.\nAnswer: 115391718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300848 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4989618?\nAnswer: 2, 3, 41, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 4\/(-2)*131. Let l(x) = -x + 15. Let n be l(-9). Calculate the greatest common divisor of n and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + 15 + (-7 - (-1 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.1, -4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u + 12. Let h be b(2). Suppose s + 5*n + 4 = 7*n, -2*s - h = -n. Factor s*z**2 + 2\/5*z**3 + 0*z**4 - 1\/5*z + 0 - 1\/5*z**5.\nAnswer: -z*(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76274783.9 to the nearest one thousand.\nAnswer: -76275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*v = s, 3*s - 3*v = -9. Let m be s\/((-3)\/6 - 0). Suppose 0 = -3*c + 6. Solve -4*g - 8 = 0, 0*l + c*g - m = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/72 + 47931\/24.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -14878?\nAnswer: 14877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61.06676 tonnes?\nAnswer: 61066760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + c - 11 = 0, -4*l + 4*c - 8*c - 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 19. Solve -5*p + 11 = 4*y, 3*y + 9*p - l = 4*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s - 2*s**2 - 3*s**3 - 2 - 3*s + 5*s + 6*s**2.\nAnswer: -(s - 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**7\/84 + t**5\/40 + t - 3. Let w(d) be the first derivative of l(d). Suppose w(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 217\/35 - (-2)\/(-10). Let k be (1\/(-3))\/(m\/(-36)). Suppose 0 = k*q + 2*q - 24. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*p + 27, -2*f + 2*p = 3*p + 11. Let k(s) = 4*s + 4. Let g be k(3). Let u = g - 11. Put 3\/8, u, f in ascending order.\nAnswer: f, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4684055*w**4 - 60050.\nAnswer: -18736220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 3 + 15 - 1877945*q**2 - 2 - 24 - 8 + 1877946*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.018 + 0.042. What is the third smallest value in b, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*p - 1, 0*y + 1 = -y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {n: 11, h: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -810 (b) 5 (c) 1\/159 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-9 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11.7 times 76\nAnswer: 889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 5\/4, 0.0466?\nAnswer: 0.0466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**2 - 7*w + 8. What is the derivative of y(a) wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 + -10601626?\nAnswer: -10601404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -20) + 5 + 3 + -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/(-4)*(20\/(-36))\/(-5). Let v = 2513 - 2515. Which is the fourth smallest value? (a) 1 (b) g (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127624*v**2 - 255249*v**2 + 127621*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 + n + 8. Let r be z(-5). Let v = r + 3. Let m be 3*3\/v*2. Sort m, -0.5, 0.6 in descending order.\nAnswer: m, 0.6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3664 + -10?\nAnswer: -3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -3, -58?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 5*o + (-3*o - o + 3*o)*(3 - 3 + 1) + 0*o - 2*o + 0*o + (4 - 2 - 1)*(-2 + 1 - 3)*(4*o - 3 + 3).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 5:44 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 - 8112*g**2 - 8201178*g + 49499532 = 0.\nAnswer: -2031, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/2))\/v)**(-2\/61)*(v**1\/v)\/(v\/v**(3\/8))*((v*v**(-1))\/v)**(9\/4)\/(v**1*v*(v**(1\/2)*v*v)\/v) assuming v is positive.\nAnswer: v**(-3103\/488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -24.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.73421199 and 15.18.\nAnswer: -9.55421199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 + 18177*v + 6993558 = 0.\nAnswer: -363, 6422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2*g**3 + 5 + g**3.\nAnswer: 3*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*r - 50 = -f, 0 = 2*f + 3*r - 34. What is the lowest common multiple of 2 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + -1)*6 + 3 + (2*sqrt(88)*-1)\/(sqrt(1152) - sqrt(1152)*2))**2.\nAnswer: -181*sqrt(11) + 360695\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13*m = -14*m - 4, 6 = -v + 2*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 7*x**5\/20 - x**4\/8 + 8*x**2 - 1. Find the second derivative of t(h) wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let g(c) = 5*c**u + 5 + 0*c**2 - 2*c**2 + 5*c. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1426*h + 49 = 1433*h. Let w(s) be the third derivative of -7*s**4\/24 - 7*s**3\/6 + 11*s**2. Let l(g) = 7*g + 6. Determine h*l(a) + 6*w(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*8.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 612.7 - 613. What is the second smallest value in t, 4, 3, -0.39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 4*v + 200, 5*v = -5. Suppose t - 6*t + 2*j = -131, -m = -4*t + 5*j. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/6 (c) -4 (d) 2 (e) 3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0042 times -350\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20*(-3 + 4 + (-21)\/28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1621 = -4*y + 1191. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**5\/30 + r**4\/6 + 3*r**2\/2 + 4. Let x(o) be the second derivative of v(o). Factor x(d).\nAnswer: 2*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*l + 5 + 3, -4*l = 2*u. Let y = -6.5 - -8. Let q = -1 + y. Which is the third biggest value? (a) q (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 8*j - 1. Suppose -976 = 12*n - 14*n. Suppose n*d = 484*d - 20. What is f(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 2:36 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/8, -33, -70?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -211 + 249 + -57 + (0 + 0 - 17)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89420932 and 22?\nAnswer: 983630252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -124 + 145 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*q - 14 = -2*y, -3*y = -q - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -407723 + 0.121304?\nAnswer: -407722.878696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95782418.\nAnswer: 2, 29, 37, 44633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b + 3. Suppose 49*r - 47*r = 14. Suppose -r - 18 = -5*i. Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437096 divided by 8?\nAnswer: -54637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 225815497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(15)*2*1)\/sqrt(5) - (-3*(sqrt(27)*1 - sqrt(27) - sqrt(27)))\/sqrt(9).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 2*d**2 - 1. Let k be q(-1). Let b be 31\/k + (-1)\/3. Solve -2*i - 4*h = -i + b, 3*i - 3*h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.29921, 30, -1?\nAnswer: -0.29921","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/3)\/2 + (-425971)\/(-39260).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5983*n**3*q - 2*n**2*q + 50*n**2 - 20*q wrt n.\nAnswer: -35898*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -2\/399*n**7 + 0 + 0*n**2 + 41*n + 0*n**3 + 1\/114*n**4 - 2\/95*n**5 + 1\/57*n**6. Find b, given that c(b) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 8*f + 4. Let m(v) = v**2 + v. Let o(w) = -5*m(w) + n(w). Let j be o(3). Put -5, j, 7 in descending order.\nAnswer: 7, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*r*u - 360*r + u + 1 with respect to u.\nAnswer: 113*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7578, -7581, -7584, -7587, -7590, -7593?\n\"Answer: -3*x - 7575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72))\/(-2*sqrt(726)).\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117\/535 - -2\/107. What is the nearest to -2 in -1, 0.3, u, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-210)*(-54)\/(-32).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -84692*w**2. Let d(k) = -214*k. Calculate d(z(r)).\nAnswer: 18124088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + h - 2. Let g(j) = -j**2 + 2*j + 3. Let i(b) = b**2 + b + 1. Let a(d) = -g(d) + 2*i(d). Give -3*a(r) + 2*x(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqxt when four letters picked without replacement from pwtxqtxxxxww.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*d**4 + 16*d**3 - 3228*d wrt d.\nAnswer: -372*d**2 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 673456 + -673425.000025. Let k = -31 + u. Round k to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3707882858 to 3 dps.\nAnswer: -1.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -26. Let j = -1.2 - -0.2. Let q = -51041\/6 - -8507. Which is the nearest to j? (a) n (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 19. Let m = a - 4. Let y(n) = -n + 18. Let u be y(15). Solve u*v = m*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -30997.1 and 1.24473.\nAnswer: -30995.85527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2*1)\/((sqrt(144) - (sqrt(144)*2 - sqrt(144))) + sqrt(9)))**2 + (sqrt(91)\/(sqrt(21)\/sqrt(3)) - sqrt(13) - (sqrt(13) + sqrt(468)*-4))**2.\nAnswer: 6929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - -4. Let f = 0 + o. What is the smallest value in 0.4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 57*m + 14391 = 0. What is the greatest common factor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/12 + 5*g**3\/6 + g**2 - 2*g. Let w be l(5). Find v such that 2*v**5 - 2*v**3 + 0*v**4 + w*v**4 + 0*v**5 - 2*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**3 + 12*i**2 - 10*i - 9. Determine b(-4).\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 9*d. Let f be s(1). Let b be (f\/1 - 2)*-2 + 9. Let h(u) be the first derivative of 2*u**2 - 7*u - 3. What is h(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 - 3*q + 6. Let d be f(4). Let i = -4 - d. Suppose -m + 3 = 2*m + 4*c, -m - i*c + 1 = 0. Solve -a - 2 = -m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23882 - -25129. Which is bigger: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 6*u - 8820. Round u to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-105)\/(-25) + -4). Suppose k*g - l - 33 = 0, 3*g = 7*g - 5*l - 39. Suppose g*i - 3409 = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 60. Let v(s) = -64 + 32 + f*s + 30 + 5*s. What is v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(5)*2)\/(sqrt(21)\/sqrt(175))*-1.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 3*w**2 + 2. Let r be k(-2). Suppose -r - 2 = -4*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - t - 34 = 0, t + 10 = 3*m - 2*m. Let h be (4\/m)\/((-8)\/(-2424)). Let r = h - 135. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uht when three letters picked without replacement from {u: 5, h: 5, t: 2}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 498920246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 8:45 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484571 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 51 + 51 = 0. Let h = f + 54. Suppose 0 = -n + h*n + 3*q - 164, -5*q - 10 = 0. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + -0.83. Let z = -75.5 - -75. Let g = u - z. What is the third smallest value in g, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28424, 113722, 255880, 454892, 710752, 1023454?\nAnswer: 1392992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45282802 + 66982802. Round b to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/2025*-18*(-15)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 0*k)*(0 + 1 + 29 + (0 + 2 + 1)*(1 + 5 - 4))*(k + k**4 - k).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w**2 + 70*w + 44. Let s(j) = -7*j**2 - 23*j - 14. Let p(d) = -10*s(d) - 3*z(d). Give p(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-69)\/12 + 5 + ((-5192)\/32)\/(-11). Calculate the greatest common factor of f and 8589.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1874091682746.\nAnswer: -1874091682746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02466 and 4.\nAnswer: 4.02466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3)\/(-6)*-5. Let x(q) = 158 - 153 + 115*q - 54*q - 60*q. Calculate x(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 152*h**4 - 17590*h**3 + 1629124*h**2 - 21235840*h - 49126400 = 0. Calculate h.\nAnswer: -101, -2, 19, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 3. Let h be ((-69)\/f)\/(1\/15). Suppose h + 12 = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t - 2. Let p be n(-1). Suppose 4*m = p*m - 54. Which is smaller: m or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/24)\/(60\/(-10560)). Solve -4*i = -5*r - 1, 3*r + g = -4*i + 37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:57 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 78 = -0*b. Let r be b\/8 + (-2)\/(-8). Let u = r + 8. What is the remainder when 8 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 57*s + 665. Give y(-42).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/15 + -8)*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*l + 78, 4*o = -l + 249 - 21. Suppose 182 = 4*j + q + o, 5*q = -j + 31. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajaj when four letters picked without replacement from {a: 3, j: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6 + (-4)\/(-6). Let y = -37 + 47. Suppose 2 = t + 4*b, -3*b = t + 2*b. Solve -g + 0*p + y = p, 4*g = h*p + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21201 - -23871. Calculate the greatest common factor of 90 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 4*g = 2*g. Solve -q + 2*w + 7 = 0, 4*q + 24 = -g*q - 5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 108862348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208754369.98 - 208754349.980000069. Let k = -16.7 + -3.3. Let a = k + q. Round a to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 39. Suppose -3*z - 33 = 3*l, -3*l - 18 - 19 = 4*z. Let q be j(l). Is (-4888)\/(-10) - (-9)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k - 2. Let w(s) = 4*s**2. Calculate w(f(i)).\nAnswer: 1296*i**2 - 288*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -5*z**3\/6 - z**2 - 11*z. Let b be (-14)\/(-4) - 3\/6. Let c(v) = 4*v + 2. Calculate b*c(d) + 2*h(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f + 1\/2 + 53\/8*f**2 - 55\/8*f**3 + 27\/8*f**4 - 5\/8*f**5 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(32 - 42 - ((-130)\/25 - 5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 6. Let z be l(6). Suppose -6*d - z = -9*d. Find the second derivative of 9*a**3 - 14*a**3 + d*a + 0*a - 14*a**3 wrt a.\nAnswer: -114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-35))\/((-56)\/70).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -33*z**3 + 2*z**2 - 11*z + 11. Let h be ((-30)\/75)\/(6\/(-165)). Let w(g) = 17*g**3 - g**2 + 6*g - 6. Give h*w(i) + 6*o(i).\nAnswer: -11*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -616 times 0.02\nAnswer: -12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/512 or -6301?\nAnswer: 1\/512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 253.16 and 51.\nAnswer: 304.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -9*u + 0*u**3 + 0 + 5\/3*u**4 + 0*u**2. Let y(n) = -2*n. What is y(x(j))?\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1821*q**2*y**2 - 5*q*y**3 - 3*y**3 + 1669*y - 2 wrt q?\nAnswer: -3642*q*y**2 - 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1909 and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.98 - 0.02. Suppose 387 = -107*u + 71*u - 351*u. Which is the fourth biggest value? (a) -2 (b) u (c) 1\/3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*g + 331, -s - 164 = -2*g - 3*s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 60.3. Let x = 2 - 4. Let j = -12 + 7. Sort x, n, j in descending order.\nAnswer: n, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -58, -86, -116, -148, -182, -218?\n\"Answer: -a**2 - 23*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -4.895\nAnswer: 0.04895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o + 3. Let p be a(-1). Let w = 10 - 7. Put -1, w, p in descending order.\nAnswer: w, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 12 = 2*w. Let l(h) = -w - 3*h**2 + 3. Let i(u) = u**2 - 10*u + 10*u. What is i(l(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 95.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 - l**2 - 59*l. Let j(k) = -k**3 - k**2 + 1. Calculate 2*g(n) + 4*j(n).\nAnswer: -2*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 240 + 20375*o - 10191*o - 10184*o.\nAnswer: 6*o**3 - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -6421?\nAnswer: -6345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 180369.973 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**2 + 4*w - 3. Let p be 112\/(-18) + 24\/108. Let g(i) = 9*i**2 - 5*i + 4. Let z(v) = p*d(v) - 5*g(v). Let y(a) = -a**2. Determine -5*y(q) - z(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (0 + -119) - (8 - (13 + -17)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -4.1. Let u = z - 3.9. Let p = 0.06 + -2.06. Which is the nearest to 0? (a) 2\/5 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45895*x - 45854*x - 130 = 34 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/315 - l**6\/60 + l**5\/45 - 7*l**2. Factor h(w).\nAnswer: 2*w**2*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:03 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((((-2130)\/(-2490))\/(-71))\/((-2)\/(-4)))\/(1\/1)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2955 = -u - 3*q, -5*u + 2741 = -2*q - 11983. Is u a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -723, -2184, -4639, -8094, -12555, -18028, -24519, -32034?\n\"Answer: -h**3 - 491*h**2 + 19*h - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 7*r - 208. Suppose -29 = -5*i - r. Sort 3, 2, i in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 3 - (-224 - -168).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 3. Let q be x(3). Suppose 4*d - 20 = -4*k + 24, 0 = -q*k + 5*d + 1. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 4*o + 2*o - 7*o + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (24 - 7) + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*s + 2*g, 0*g - g = 3*s - 60. Suppose 0 = -2*l + 15 - 1. What is the remainder when s is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755800 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyyggyrixggyyyx. Give prob of sequence gi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -70, -111, -154?\n\"Answer: -m**2 - 36*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.7 + -47.8. Let k = s + -7.1. Let o = -16 - k. Round o to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*i = -318, -3*i + 213 = 2*b - 2*i. What are the prime factors of b?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/775559 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/16*2 - (-732)\/(-48). Let v(o) = -5*o - 2. Let u(g) = -36*g - 15. Let s(f) = t*v(f) + 2*u(f). Let i(j) = 7*j**2. Calculate i(s(b)).\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83697274*u**2 - 586990*u - 29 wrt u.\nAnswer: -167394548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 13. Calculate the smallest common multiple of c and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -396 + 409. Solve -h*b + 16*b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2) + (-17 - -23 - (-1 + 19))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65779, 65307, 64833, 64357, 63879, 63399, 62917?\nAnswer: 62433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 32, 36, 40, 44?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11337879.\nAnswer: 3, 7, 539899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + 2*x)*(-862 + 235*x + 862).\nAnswer: -235*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 3*m = -6, 2 = 2*m. Suppose 12\/5*j**2 + 0 - 3*j**u + 12\/5*j - 9\/5*j**4 = 0. Calculate j.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699935?\nAnswer: 5, 139987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2110 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37321 = -861*q - 2162*q - 4068 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*0\/7. Let l be 18\/(-8) - (q - 2). Put -4, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/42 + 790*g**3\/21 - 156025*g**2\/7 + 1329*g. Determine t, given that j(t) = 0.\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 49\/7535, -0.4 in decreasing order.\nAnswer: 49\/7535, -0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 917 + -610. Let v = -352 + n. Which is bigger: -48 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-742016)\/39104 + (1 - -18) and 32\/91.\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqunqnu. What is prob of sequence qqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(-1 + 8\/6)*2205\/(-490). Which is the second biggest value? (a) -0.06 (b) r (c) 1 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -25, -29, -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4631419178 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001110101001 (base 2) in base 10?\nAnswer: 50089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**2 + 9. Let v be r(9). Suppose 0 = h - 5*h + v. What is the greatest common divisor of 99 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 8*v - 241. Let s be t(-20). Let i(r) be the second derivative of r**3\/3 - r**2\/2 + r. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.83386 millennia to months.\nAnswer: 742006.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*o)*(-22 - 25 + 6 + 3).\nAnswer: -114*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d**3 - 107*d**2 + 13*d - 12. Give m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45727 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81268193 is divided by 731?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3713 by 1.\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (4\/3)\/(6\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286\/26169*9\/(-6)*(-42)\/(-14)\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -16075340.\nAnswer: 1\/4018835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29561529 and 2043?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -45\/2. Let y be -3 + (3 - 3) - -7. Suppose 2*b + y = -2*b. What is the closest to x in b, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 439, 748, 1077, 1426, 1795, 2184?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -102, -40, 58, 198, 386, 628, 930?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let m = -0.5 + 1. Let p = 6988 + -6986. What is the third biggest value in p, l, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {o: 2, c: 1, e: 14}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Which is the closest to -1? (a) 0.1 (b) -1 (c) -0.9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34*t = -35*t + 191968, -3*t + 153559 = 4*h. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 22 - 19 + 5. Which is the closest to -0.2? (a) 2\/11 (b) -2.7 (c) 2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from ovvvizfvvivzzi?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - 161\/46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 30 = -6*b. Let x = 29 + b. What is the highest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 times 1.52\nAnswer: 218.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 1045 = 811 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -11815?\nAnswer: -11812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdqdglz. Give prob of sequence ql.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 64\/((-3584)\/40)*6\/20\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8*2)\/((-6)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2 - 88*i - 171 + 289*i - 917 - 6*i**4 + 9*i**4 + i**4 wrt i?\nAnswer: 16*i**3 - 2*i + 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 - 28*b**2 + 2*b - 21. Let n(g) = -6*g**3 + 42*g**2 - 3*g + 32. Let m(p) = -8*a(p) - 5*n(p). Let d be m(7). Put d, -1, -36 in increasing order.\nAnswer: -36, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355.5731 - 355.3. Let l = w - 0.0131. Sort -5, l, -3\/5 in increasing order.\nAnswer: -5, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose 3*t = 2*s + o*s - 8, t - 20 = -4*s. What is the second derivative of -x**3 + 4*x - 5*x + t*x + 0*x**3 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 2*k**2 + 6*k - 11. Calculate the remainder when p(3) is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let f(d) = 5*d. Let h(v) = -3*f(v) - 4*s(v). Let t(p) = 22*p + 18. Let b(y) = -y - 1. Let k(l) = -36*b(l) - 2*t(l). Determine k(h(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)\/((-5)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 41. Let j = -7 - t. Suppose -2*k = -o - 2*o + 27, -2*k + j = 5*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**2 + 6. Let a(m) be the first derivative of 73 + 0*m**2 + 11*m + 17\/3*m**3. Give -6*a(x) + 11*v(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 3287.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13575 + 760157\/56. Find the common denominator of 7\/10 and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15 = 3*h, 3*p + 14 = h + 59. Suppose 5 - p = -5*l. Suppose -2*i - 5 = g + 3*i, 3 = 4*g - 3*i. Sort l, g, -1 in descending order.\nAnswer: l, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*70\/(-3)*(-15)\/(-20)*(-20)\/(-40)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.72 to one decimal place.\nAnswer: 46.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, 7\/1390?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 884281455499 take away -0.23?\nAnswer: 884281455499.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y - 17. Let j be c(-1). Let n(b) = -12*b**2 - 17*b + 17. Let i(o) = 2*o**2 + 3*o - 3. Give j*n(w) + 34*i(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 235 = 234. Is x bigger than 6\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.3441 to one decimal place.\nAnswer: -67.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34169283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -315*c - 319*c + 638*c + 3. Calculate h(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 5412\/(-1806))*5026\/1795?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 19\/(-11))*2\/(-3). Let g = -0.4 - -0.2. What is the second smallest value in r, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zmmzzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40623576 to the power of 1\/2, to the nearest integer?\nAnswer: 6374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126014, -126015, -126016, -126017, -126018?\nAnswer: -126019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 4. Suppose o = 3*f - 2*f. Calculate the remainder when (-2)\/8 + 50\/8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1080 - -1226. What is the remainder when s is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.8291 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-4))\/((-18)\/24). Let w be (7\/v - -2)\/(21\/(-27)). Which is the second biggest value? (a) -0.1 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.19361 micrometers in kilometers?\nAnswer: 0.00000000819361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 1317\/435)\/(1606\/(-4015))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 95*w**2 - 30*w + 2858. Give l(95).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*v - 6*v + 30*v + 19*v + 1)*(8*v - v + 2*v) in the form h*v**2 + w + c*v and give h.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -250805*n + 1003217. Give j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*76 - (36 - 30). Calculate the highest common divisor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1030 + -1002. Suppose 24*d - a*d + 992 = 0. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140348 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 121*k**3 + 19*k**3.\nAnswer: -102*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -588412 + 0.5?\nAnswer: -588411.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**2\/4 + 37911*i\/2 - 37914 = 0.\nAnswer: -25276, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -123*d + 3. Let a be v(6). Let q be (-1*(-18)\/a)\/((-6)\/15). Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6248 and 1846.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/8))**20\/(s**(-9)\/((s**(-3\/23)*s*s)\/s)))**(-6\/25) assuming s is positive.\nAnswer: s**(-2397\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1224406*x. Let h(b) = -2*b. Calculate h(g(m)).\nAnswer: -2448812*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 7 - (0 - (-6 + 0 + -30))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = -5*f + 24, f - 16 = 3*w. Suppose 3*m = f*h + 63 + 6, -5*h = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22703414\/3 smaller than 7567804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021 (base 3) to base 4.\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24 - (17 - (14 + 24)). Which is the nearest to 1.1? (a) 1\/4 (b) l (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 368*m + 5342. Give o(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-2)*4\/(-5). Suppose 3*g = -q*g + 50. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/111 (b) 2 (c) 2\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -203. Suppose -3*m + 6 = 5*x, -2 = -m - 8*x + 4*x. What is the tens digit of ((-4)\/(-8))\/(m\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 3*c + 3. Let s(m) = m**3 - 3. Let x be s(0). Let h be q(x). Suppose -2*r - r = 0. Solve 0 = -h*o - 9 - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a44a1 (base 14) to base 12\nAnswer: -3021079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-36))**(-1\/34)*(i*i**1\/i)\/(i*i**(13\/4)))**(-4\/13) assuming i is positive.\nAnswer: i**(149\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 154*o - 153.\nAnswer: -(o + 1)*(o + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c. Let b(z) = 5*z + 2*z + z - 3*z. Determine b(y(q)).\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28338 times 8010?\nAnswer: -226987380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -21 - (-19 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 1. Suppose 0 = a - 5*a - 16, 3*a = -4*c - 120. Let l = c + 31. Suppose 0 = -l*f + 4 - 12. Let g(y) = 4*y - 1. Give f*h(x) - 3*g(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 1. Calculate m(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:10 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/4 - 4635*d**3\/4 - 12123*d**2\/4 + 2691507*d\/4 - 11336013\/2 = 0.\nAnswer: -1542, -29, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5)*(33 + 22). Suppose 2772 = a*n + 20*n. What is the remainder when n is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50 + 42)\/(8\/6 + -2). Suppose 6*w - 4*w - y = r, -y + 24 = 4*w. Solve -10*j + 12*j - w = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from fsfskkjkjskkk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4834 - 2135 = -303*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 13*n + 6. Suppose 25 = 2*c + g, -c - 3*c + 2*g = -30. Let l be t(c). Let r be (l\/8)\/((-3)\/(-4)). Solve 10 = y - r*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 11*n**2 - 7*n + 2. Calculate l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 6658 and -63016 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14071330 divided by 10\nAnswer: -1407133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -58, 66, 5, -10, 2 in descending order.\nAnswer: 66, 5, 2, 1, 0, -10, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 6*c + 6706. What is m(-79)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -364862*-5\nAnswer: 1824310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*69980.\nAnswer: 27992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12950 - 5619. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 + 0*a**2)*(11*a - a**2 - 3*a + 3*a**2) - 52*a**2 + 8*a**4 + 52*a**2.\nAnswer: 12*a**4 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 30. Let z be p(0). Let i = 35 - z. Sort 2\/15, i, 1 in ascending order.\nAnswer: 2\/15, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 157885039 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8469415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/6 + 2\/3. Suppose 15 = -5*r, -v = v + 5*r + 11. Suppose 0 = -v*q - q + 2*h + 41, -4*h = 5*q - 61. What is the greatest common factor of q and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531916.\nAnswer: 2, 882979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + m + (4 - 6 + 1)*(-148*m + 102*m - 147*m) + 0*m - 3*m + m to f + g*m and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1345 + 1266. Put 3, -3, d in descending order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -6271786.\nAnswer: -61\/6271786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/145*1*(-4)\/8*40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:28 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -907 - -906. Put -4\/9, j, -5\/7 in descending order.\nAnswer: -4\/9, -5\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(50)\/sqrt(5)) + 5 + 1 + (sqrt(180)\/sqrt(5))\/sqrt(12) + sqrt(3))*-3)**2.\nAnswer: 324*sqrt(3) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t + 9 = 57*t, -3*f - 24 = 3*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/((-28)\/18) - -12. Let z = 6 - 3. Suppose -4*j + 2 = -o*x + 5, -6 = 3*j - z*x. Solve j*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 30 = 4*l + l, -2*l + 3 = -b. Put b, 1\/4, -0.2, 2 in decreasing order.\nAnswer: b, 2, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 696851748*z**2 - 40466863224221292*z.\nAnswer: -3*z*(z - 116141958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + 1 + 129 + -125?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - s - 2. Let z be v(-5). Let t = -22 - -55. Suppose -z*r + t*r = 705. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - (-1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6446*g**2 + 6332*g**2 + 0*g - 10 + 0*g as h*g + x + k*g**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 2374972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h + 22. Suppose m = 3*m + 18. Let s be l(m). Suppose -2*b + 3*i + 61 = 0, 2*i = -4*b - 2*i + s. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 + 5*y. Suppose -2*t - 25 = 3*t. Let c be f(t). Let h be 1*(2 + c)\/(-2). Put 1, h, 0 in decreasing order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 18*u**4 - 26*u**3 + 66*u**2 + 28*u - 48 = 0.\nAnswer: -6, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. What is h(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13804159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 115*u - 117*u + 19, -58 = -5*u - 4*n for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 2*k = -160, -5*k - 125 = -2*t. Let s = t - 75. Which is the closest to s? (a) 0 (b) 4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = -5*y, -3*a + 40 = -a - y. Suppose -a = 4*r, -r - 207 = -4*x + 2*r. What is the common denominator of -81\/20 and 1\/(-3) + 1204\/x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-1) + (sqrt(2) - (sqrt(2) + -1 + 1)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 166527.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111642424 (base 7) in base 13?\nAnswer: 1549039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1926, -1927, -1928?\n\"Answer: -i - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -8800\/7043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1597 - -142281?\nAnswer: 140684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33281*r**2 + 45373?\nAnswer: -66562*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2280209 by 2280209.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 8*i**3 - 2*i**2 - 3*i**3 - 9*i.\nAnswer: 5*i**3 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.59 * -5\nAnswer: -7.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7173*c**2 + 7173*c**2 - 56*c**3 + 2 to s + d*c**2 + k*c + w*c**3 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*l - 112 = -24*l. Which is the nearest to -1\/16? (a) -5 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*u**4*x**2 - 40*u**4*x - 4*u**3 - 2*u**2*x**2 - u**2 - 5719*u - 2*x**2 wrt u.\nAnswer: -912*u*x**2 - 960*u*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/3 + 20*c**2\/3 - 5*c.\nAnswer: -5*c*(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*u = -18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -108 (b) -4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 - 3*h**2 + 2. Calculate the remainder when 39 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19933687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3471850 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448777016*z**4 - 469781920 with respect to z.\nAnswer: -1795108064*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vclhlccyhqccq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 118 - 3*h**2 - 60.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wwwdwwwwwwwwdwd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/60)\/((-2)\/(-60)). Let p = v + -16. List the prime factors of (-44 - 2)\/(-1) - p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose 3*m = l*m - 3*u + 8, -3*u = -m - 4. Suppose 10 = -7*r + m*r. Sort r, 3, 4 in ascending order.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, 458, 2002, 5062, 10154?\n\"Answer: 86*f**3 - 16*f**2 - 10*f - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 453448, 906875, 1360302, 1813729, 2267156, 2720583?\n\"Answer: 453427*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5\/3, -7, -2\/7, 1 in increasing order.\nAnswer: -17, -7, -5\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 + 177092384*a\/3 + 118061592.\nAnswer: -2*(a - 88546194)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9 = -p, -2*p - 7 = -5*r + p. Let s = -130 + 122. Let v(g) = g + 16. What is the least common multiple of v(s) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -0.5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022321202 (base 4) to base 2.\nAnswer: 1001010111001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/216 - (-59)\/(-6). Let o be (-112)\/(-24) - (v\/6)\/5. Solve -28 = o*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29.37, -174, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -82083, -164202, -246271, -328290, -410259, -492178?\n\"Answer: 25*a**2 - 82194*a + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 149.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*n**5 - 27*n**3 - 2*n**2 - 7*n - 559 wrt n.\nAnswer: 460*n**3 - 162*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times -3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z - 59*z = -3*r - 13, 0 = -5*z + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1 - (0 + 120\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1858438*x**3 - 1120*x**4 + 1858438*x**3 + (5 - 5 - x**3)*(3*x - 2 + 2).\nAnswer: -1123*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - 1 - (-9 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44783910 divided by 33546\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21239 - 15403. What is the greatest common divisor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34691 - 2?\nAnswer: -34693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = 0, -3*v + 13*g + 160734 = 12*g. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 37. Suppose 5*x = 5*f + 20, -4*x + 13 = f - 3. Suppose f = -0*k - 4*k. What is the remainder when a(k) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(570*h + 978*h - 1952*h) as g*h + k and give g.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -559402 divided by -17\nAnswer: 32906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6) + (-72)\/(-54). What is the nearest to -3\/8 in y, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 * 628503\nAnswer: 3582467.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 77\/(-22)*((-36)\/14 - -2). Solve 3 = 5*w - j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88781 + 1?\nAnswer: -88780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**(-4))))\/c)\/(c\/(c**(-1\/6)*c)))\/(c**(-2\/15)*(c**1\/c)\/c) assuming c is positive.\nAnswer: c**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 - -237. Suppose 8*m = -r*m + 86618. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 + 12 = 0. Let u = -4 + 3. Let q be (-1)\/(u - 0\/1). Is a at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 362374 and 3101.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -251 - 1\/12*h**6 + 0*h + 2\/5*h**5 - 3*h**3 + 3\/8*h**4 + 0*h**2. Factor o(w).\nAnswer: -w**2*(w - 3)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f - 749159 = -52*f - 4404. List the prime factors of f.\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959 is divided by 584?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4525*o**2*z + 3817277*o**2 + 7494*o*z**2 + 22 wrt z?\nAnswer: -4525*o**2 + 14988*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5\/2 - 255*b**4\/2 - 6432*b**3 - 40620*b**2 - 89496*b - 65880 = 0.\nAnswer: -30, -3, -2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103813618.\nAnswer: 2, 3257, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0968651 and 0.5.\nAnswer: -0.04843255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110072478 + 0.0492\nAnswer: 110072478.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 19 = -5*j - 0*j, -2*d - 4*j = 8. Suppose d*c = 5*c + 21. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/34)\/j*j\/(j*j*j*j**(2\/43))*(((((j**0*j)\/j)\/j)\/j)\/j)**16)**(3\/2) assuming j is positive.\nAnswer: j**(-223761\/2924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(17)*3 + 3)**2.\nAnswer: -108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4 + (-2)\/(-12)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19485.0000031478 + -19485. Round c to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1188 and 47\/27?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 7. Let x be r(-5). Suppose 2*t - 7 - 1 = x*s, -5*s = 0. Suppose -t*l - 9 - 1 = -2*c, 4*l = -4. Solve c*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 + 7*r - 6. Let s be b(-8). Suppose -2 = -o, s*o + 0 = w + 13. Which is bigger: -10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r**5\/2 - 2470*r**4\/3 - 17344*r**3 - 31653*r**2 - 87269*r\/6 + 583 = 0.\nAnswer: -159, -22, -1, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:38 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**3 + 4200*z**2 + 397755*z + 393550 = 0.\nAnswer: -85, -1, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k - 1. Give n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -629, -2504, -5637, -10034, -15701, -22644, -30869?\n\"Answer: -l**3 - 623*l**2 + l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -443960164837\nAnswer: 443960164836.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 143*q**3\/6 + 1187*q**2 - 2702*q. Differentiate x(i) wrt i.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/45)\/((-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42542 divided by -2.\nAnswer: -21271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 - 127 + 127.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.424 rounded to one dp?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i**(3\/10)\/i)\/(i**(5\/4)*i\/((i**(-4)\/i)\/i)) assuming i is positive.\nAnswer: i**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v + 1. Let t be b(3). Let r = t - 17. Sort 5, 3, r in descending order.\nAnswer: r, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/12*35\/(-980) and 79\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/2 - 51*l**2\/2 - 252*l - 702 = 0.\nAnswer: -39, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1721453 + 6821453. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -151, 1\/21019 in decreasing order.\nAnswer: 1\/21019, -0.5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 871157.9nm in centimeters?\nAnswer: 0.08711579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16512 - 8.\nAnswer: 16504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 3*i + 39 + 617 - 4*i + 81.\nAnswer: -i + 779","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 5*s + 10, -2*c + 3*c + 6 = s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f - 20 = 0. Is -2*2 + 104\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-6) - (-217 + 6\/(-2)). Let t = z - -411. What are the prime factors of t?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 34.78. Let q = -0.08 + y. Let l be 1 - (-14)\/(-4) - -2. What is the nearest to -1\/3 in l, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 87*o - 2117. Determine a(-7).\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y. Let r(c) = -950*c**2 + 1898*c**2 - 950*c**2. What is r(k(q))?\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56983 plus -84?\nAnswer: -85.56983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0 + 1. Let h = 6 + 2. Let f be (i\/(-7))\/((-4)\/h). Which is the second smallest value? (a) -0.5 (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071523987 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 91. Let w(y) = -3*y**3 - 5*y**2 + 7*y. Let l(s) = 3*s**3 + 4*s**2 - 6*s. Give v*l(n) - 4*w(n).\nAnswer: -3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*g - 8. Let m(y) = y**2 + 5*y + 24. What is the tens digit of m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-18) - 2\/6. Calculate the common denominator of 2\/(-8) + (-95)\/(-16) and g + 2\/20*113.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 3*m**2 - 2*m + 2. Let s be b(-2). Suppose -5*d + 7 = -2*l - 77, -4*d + 3*l + 63 = 0. Let o = d + s. Sort -5, 0, o in ascending order.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 + 388*h + 919. Let m be z(-53). Suppose 3*d - 12 = 0, -7 = -2*a + 5*a + 2*d. Let u = a + 7. What is the greatest common factor of u and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -2*c - 3*z, c + 0*c - 42 = 3*z. What is the remainder when 112 is divided by c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -655 - -654. What is the closest to 0 in d, 5, 0.03, 0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*k - 2198*k - 1729*k as g*k + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/3 + 248684*p**3\/3 + 663072*p**2.\nAnswer: 4*p**2*(p + 8)*(p + 62163)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2077, 2128, 2201, 2290, 2389, 2492?\n\"Answer: -s**3 + 17*s**2 + 7*s + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 395 = 395 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*v = -6*v - 10, -35*m + 31*m + 3*v + 51 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -398 + 414 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 16*y. Suppose y = -q - 3 + 5. What is the second derivative of -20*g - 4*g**2 + 15*g**2 + 0*g**q wrt g?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.203\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.133999907 - -0.134. What is t rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80d4 - 2?\nAnswer: -80d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - (-219)\/(-63)) + 0 and (330\/(-168) + 2)\/((-154)\/176)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13408, -26963, -40506, -54031, -67532, -81003?\n\"Answer: q**3 - 13562*q + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*x - 1666 = 226*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least 454.395963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-11 + 15\/5. Let s(m) = -m**3 - 7*m**2 - 3*m - 12. Let b be s(h). Suppose -6*r = -2*r + b. Which is smaller: -18 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:22 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -205*s - 1225. Give z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t. Let x(a) = -a**2 - 11*a - 10. Let r be x(-1). Let b(g) be the first derivative of r*g**2 + 5 + 0*g + 1\/3*g**3. What is b(c(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114.5 + -114.51. What is the fourth smallest value in d, -0.2, -1\/9, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6807 - -0.3.\nAnswer: 6807.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 764 + 19*t**3 + t - 870.\nAnswer: 19*t**3 + t - 1770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/(594\/(-11)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2751, 2838, 2793, 2616?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29016 and 540?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3884 + 801 - 11493 = -374*q + 2254 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3318 is divided by 413?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 90*h**2 + 269*h - 928. Let f be x(-93). What is i in 2\/3*i**f + 1\/3 + i = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8 and 97\/60218.\nAnswer: 240872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3970683122 rounded to the nearest 100000?\nAnswer: 3970700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -492, -2241, -5158, -9243, -14496, -20917, -28506?\n\"Answer: -584*c**2 + 3*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 29*i + 3. Let j(n) be the third derivative of n**5\/20 + 19*n**4\/24 + n**3\/3 - 193*n**2 + 8. Determine -7*j(a) + 5*v(a).\nAnswer: -a**2 + 12*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*v. Suppose q = j + 7, 460*q = 3*j + 464*q. Put j, -5, -7, v in ascending order.\nAnswer: -7, -5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(-1*sqrt(8)) - 2*sqrt(800))*-1)\/((sqrt(144)\/(sqrt(3)*1 + sqrt(3)))\/(sqrt(108)*-3)).\nAnswer: -378*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -3247327.\nAnswer: -37\/3247327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149261 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1 (c) 951 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - d + 14273 = 14287, 5*d + 40 = 5*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**7\/630 - 268*z**6\/15 - 430944*z**5\/5 - 230985984*z**4 - 371425462272*z**3 - 27*z**2 + 44. Suppose q(y) = 0. What is y?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 5 + 4564 + -2. Let n = z - 371. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25601557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 + 1138*m - 31. Let h(l) = 7*l**2 + 1140*l - 23. Let g(f) = 4*h(f) - 3*q(f). Let s(k) = k**2. Determine g(s(b)).\nAnswer: b**4 + 1146*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 6\/5, 17, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/(-305))\/(3*(-3)\/180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 733 (b) 1\/3 (c) 0.051 (d) -5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + -2 + 5)**2 - (-1*sqrt(19)*-1 + -1*sqrt(76)).\nAnswer: 28 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908593.\nAnswer: 7, 293, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/32 - 29*h**3\/24 + 33*h**2\/4 - 1831. Let x(c) = 0. Calculate c.\nAnswer: -33, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 3*q - 3. Let w be z(-2). Suppose 2*c - 10 = 6. What is the smallest common multiple of 1 - (3*w)\/3 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.034 + 0.434. Which is bigger: -9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3 - 7\/3*i**4 - 19\/3*i**3 - 1\/3*i**5 - 16\/3*i - 25\/3*i**2 = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1290530*u + 2581051*u - 1290520*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008169008 rounded to four dps?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:23 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -3019, 7.\nAnswer: -3019, -4, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 81. Suppose 3 = -2*a + 7, u*y - a = 642. What are the prime factors of y?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 - 2*l**2 - 2*l**2 + 0*l + 0*l + (3*l**2 + 2 - 2)*(-4 + 2 + 1) - 2*l**2 + 6*l**2 - 2*l**2 + 11*l**2 - 2*l**2 + l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13289 = -4*b - 3*u, 21*b - 6649 = 19*b - u. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2684 + -2686. Suppose -7*q + 1520 - 589 = 0. What is the nearest to -0.1 in q, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19114\/7 + -516064\/189. What is the smallest value in y, -5, 2, -0.8, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/((-78)\/(-18))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3021775l?\nAnswer: 302.1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 13*t - 35. Suppose -61 = -4*f - 5*d, 4*f - d - 48 = -t. What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 9:17 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44e + 3?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383809 - 387466 = -69*j for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + m - 4 - 9*m - 9*m.\nAnswer: -17*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**3 + 12*i**2 + 6*i + 4710?\nAnswer: 3*i**2 + 24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*x = -8, 8*i - 5*x = 4*i + 29. What is the remainder when 40 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/4 - 5*d**3 + 5*d**2.\nAnswer: 5*d**2*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 not equal to 561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34891538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-2.1.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1803090*p - 2. Let s(x) = 68*x**2. Determine w(s(f)).\nAnswer: -122610120*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50822 is divided by 2695.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 + 172*p - 168 = 0. Calculate p.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*s + 2. Let f be s*(-2 + 1)*-6. Solve 4 = 2*j - f*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135372918307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 1471051747*b - 5 - 5 + 1471051747*b.\nAnswer: b**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 174548 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2671960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/5652 and -149\/1884?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64759*w**2 + 26307*w - 2?\nAnswer: -129518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2886501 and 4504.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 4.96. Let g = -3861 - -19306\/5. Which is the smallest value? (a) j (b) g (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12897 and 406935.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 503 and 3631157?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 254315.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b**3\/3 - 7*b**2\/2 - 4*b + 18. What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 143871942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-6) + -1 + 1 - 1. What is the common denominator of (3\/2)\/((-216)\/(-1112)) and 1\/p + (-34)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 10. Suppose -3*q - w = -70. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8 = 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13. Which is the nearest to f? (a) -1\/9 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3 + 5*j**4 + 159*j - 155*j + 16722 - 17682 wrt j.\nAnswer: 20*j**3 + 3*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 24, 14, 22, 54?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 7*i + 38 = 16*k, k - 17 = 3*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(24\/16)\/(1\/(-133))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 7. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177989 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/12*(-8)\/(2*-1). Let g(x) = 3*x**2 - 10*x + 7. What is the units digit of g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63093 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013094105137 plus 320?\nAnswer: 320.013094105137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 67*y - 17. Let h(b) = -6*b - 98. Give c(h(t)).\nAnswer: -402*t - 6583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6853*f**2*x**5 + 2*f**2 + 28*f*x**5 - 156*f*x + 28*f - 36*x**2 wrt x?\nAnswer: 411180*f**2*x**2 + 1680*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1844870 and 6.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-19)\/4 + 2)*4. Let w = -7 - s. What is the first derivative of w - 8 + 2 - 3*z**4 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99148, 198237, 297310, 396367, 495408, 594433, 693442?\nAnswer: 792435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13619157, 13619158, 13619157, 13619154, 13619149?\n\"Answer: -r**2 + 4*r + 13619154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.1622, -0.34, -1, 5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -70.85. Let m = -0.55 + d. Let w = 0 + -0.2. What is the second smallest value in w, m, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 3d?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 819 - 2?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*c - 7*c + 15*c + 11*c to the form w*c + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 3, -4, 0, 2 in decreasing order.\nAnswer: 99, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40338 = -1105*o - 389*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 4 (c) 3 (d) 0.164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5688 and 429?\nAnswer: 813384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*a - 354 - 202, 3*a + 2*u = 417. Let v = -133 + a. Calculate the remainder when 32 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*q**2 + 99*q**2 + 13*q - 243*q.\nAnswer: 17*q**2 - 230*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/15 - 309740*y\/3 + 59961792250\/3 = 0?\nAnswer: 387175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 5. Let u be l(1). Let j = 0.1 + 0.4. What is the biggest value in u, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189348410 to the nearest integer?\nAnswer: 13760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 113 (b) 0 (c) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.164903 weeks to hours.\nAnswer: 27.703704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 19. Let n be u(18). Let m be 2*n\/(-5) - 15\/(-25). Solve 4*g - m = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 - 26*j - 47. Let r be b(-8). Let t = r + 162. Solve 2*w + 8 = 0, l = -t*w - w - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2*y*y**(2\/7))**8)**(2\/57) assuming y is positive.\nAnswer: y**(32\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0981? (a) -3 (b) 2 (c) 2\/7 (d) -0.3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 14\/(3 + 1 + (3 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:26 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1008887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 2 + -18 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 21 - (-27 + 39).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 74273?\nAnswer: -148546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2949*t - 6956.\nAnswer: 2949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 6900 = -31*i. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-4)*(-4)\/50)\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s - 25. Let a be 2\/s + 46\/115. Suppose a = u - 7 + 1. Solve 0 = -v - 0*v + 5*k - 22, -2*k = v - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82*a**3 - 40763 + 40763)*(1 - 6 + 4)*(-2*a + a - a) + 13*a - 2*a**4 - 3*a**4 - 11*a to the form f*a + y*a**4 + u*a**2 + k*a**3 + g and give y.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7784 is divided by 1291.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 c, and 1 y when four letters picked without replacement from {u: 1, k: 2, y: 1, r: 5, c: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*80\/3800*(-2)\/(-2)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 9*i**2 + 16*i - 58. Let f be u(10). Let a be (((-20)\/(-4))\/15)\/(f\/30). Let n be (-12)\/7 + (-2)\/7. Put 2, 0, a, n in increasing order.\nAnswer: n, 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q**2 + 9*q**4 - 2*q**4 + 390*q**3 - 392*q**3 to m*q**4 + i*q**2 + r*q + w + l*q**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25.89999 kilometers?\nAnswer: 25899990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7676 and 0.0677?\nAnswer: -0.05196652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (-16 + -42)) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, p: 1, b: 3}. What is prob of picking 1 g, 1 v, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 6*y - 6*y + (-100 - 48*y**2 + 100)*(-y + 2*y + y).\nAnswer: -94*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4222 + 5?\nAnswer: -4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 88, 3, 2 in increasing order.\nAnswer: -1, 2, 3, 7, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -11. Suppose y*k = -k + 244000. Round k to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2610004.\nAnswer: 7830012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*f + 38, w = -3*w - 3*f + 58. Suppose -1 = z - w. Let n = 0 + z. What is the remainder when 28 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/12 and 5\/24 - (13 + -13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3239 (base 11) to base 2\nAnswer: -1000010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 40*n**2 + 36*n + 118. Give a(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67261 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 qubexke. Give prob of sequence qku.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let t = 0.08 + -3.08. Let z = t + 2.6. Which is the third smallest value? (a) g (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 9*o - 12. Let x be b(5). Suppose 0 = -8*a + x. Put -5, a, -4, 9 in ascending order.\nAnswer: -5, -4, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, -5, -15, -33 in ascending order.\nAnswer: -33, -29, -15, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 295883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 28 = 5*q. Calculate the smallest common multiple of q and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -7*i - 50. Let w(s) = s**2 - 9*s + 4. Let c be w(8). Let m be i\/c + 33\/44. Solve 3*l + m*y = 10, 0*l + 2*y - 10 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1367aa?\nAnswer: -1367a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -120, -122, -126?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16010 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 6. Let m be r(6). Suppose 5*w - 109 - 1 = m. Suppose -4*d + 5 + 32 = -l, -5*l - 5 = 0. What is the remainder when w is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w - 5. Let u be 35\/5 + (2 - 5). Let q be n(u). Let m = 75 + -77. Which is the third biggest value? (a) m (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17455717 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let y = o - 0. Let u = 15 + -14. Solve u + 9 = -y*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65*(-98)\/4459)\/(16\/28*1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 14*b + 70*b - 19932808. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 14, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (((1*sqrt(85) - sqrt(85)) + sqrt(85))\/sqrt(5))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*-2*-13*4\/(-16).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 3*u**6\/10 + 66*u**5\/25 + 51*u**4\/10 - 12*u**3\/5 - 111*u**2\/10 - 6*u + 99. Solve w(d) = 0 for d.\nAnswer: -5, -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-504)\/(-648) - (-4)\/(-6). What is the closest to -7\/3 in 3, -2\/7, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) -10597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 3, u: 2, s: 6}. Give prob of picking 2 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 79 + 83 = 0. Sort -15, 23, q, -2, 2 in descending order.\nAnswer: 23, 2, -2, q, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-9 + 7 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r - 1. Let o be 2\/8*-12 + 7. Let k(w) = w. Determine o*k(f) + s(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 3397 - 3*w - w - 3397.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/20 + 7*f**4\/12 - 5*f**3\/6 + 7*f**2\/2 + f. Let u be s(-4). What is the highest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 2*k**2 + 5 + 28 + 14*k**2.\nAnswer: -3*k**3 + 12*k**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(-20*(-13)\/(-208))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 4. Let o(a) = -a**3 - 3*a**2 + a - 4. Calculate 3*j(q) + 2*o(q).\nAnswer: -2*q**3 + 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 28, 18, 26, -4, 0 in decreasing order.\nAnswer: 28, 26, 18, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.58 + -0.42. Let p be -1*1\/(-1) - 3. Let n be p\/(-6) - (-13)\/(-21). What is the closest to b in -0.2, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = -0*r. Solve 0 = -2*v + 5*p - 8, 4*p + r = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/5 - 7*r**2\/5 - 14*r\/5 - 8\/5 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2736\/(-684))\/((2\/(-22))\/((-3)\/(-30)*10)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*h = -15, -4770*c + 4*h + 42 = -2387*c - 2381*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39394 = 16*t - 2*m - 644862, -5*m + 37852 = t. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - 253. Let f = -48 - a. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 40*z**2 + z - 43*z**2. Let s(f) = -2*f - 6. Let v be s(-4). Let d(x) = 0*x**2 + 5*x**2 - 3*x**v. Determine r(d(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 368*f**4*m*v - 13*f**4*m - 2414*m*v + 2*m - 2*v wrt f?\nAnswer: 1472*f**3*m*v - 52*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from {w: 3, x: 3, h: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -5*x + 11, 4*x = -5*q + 13. Calculate the lowest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22834*l - 22365*l = 8911 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v)*(0*v + v - 2*v) + 2*v**2 + 2*v**2 + 10*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1787\/3 - -595. Which is the closest to j? (a) -2 (b) -0.4 (c) -1 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86872.8934 - 30.\nAnswer: 86842.8934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.98 + -0.38. Let q = o - 10.6. Suppose 2*h = -2*h. Sort h, -1, q in ascending order.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58768728.\nAnswer: 2, 3, 17, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113837, 113868, 113887, 113888, 113865?\nAnswer: 113812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4 + 3808*q**3 + 11388*q**2 - 16*q - 15184 = 0?\nAnswer: -949, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 7 (c) -1\/8 (d) -99 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) -8\/65 (c) 552\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 2*n**2 + 2*n**2)*(-2*n - n + 4*n)*(4 + 0 - 6)*(-27*n - 1172 + 1172).\nAnswer: -54*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 302327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/136783 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65277, -130628, -195985, -261348?\nAnswer: -326717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(143)*6)\/((sqrt(66)\/sqrt(2))\/sqrt(3) + sqrt(22)\/(sqrt(8)\/sqrt(4))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 - 6. Let o(h) be the second derivative of -h**4\/12 - h**2\/2 + h. Calculate -d(k) + 6*o(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 19*l - 10. Suppose -631 = -h - 4*h - l*r, 3 = r. Calculate the remainder when h is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*w - 984 = 56*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgggogssoggggog. What is prob of picking 3 o?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tut when three letters picked without replacement from uuuuuuuhtuuuupuhttu?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1059 and 137829203?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let t = 47 - 45. Let n(c) = -13*c**t - 11*c**2 + 26*c**2. Give s(n(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 152*y**2 + 3095*y - 2944 = 0. Calculate y.\nAnswer: 1, 23, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 8\/21, 0.5, 0.31, 2\/7, 0.08?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:04 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (18277\/(-1865))\/((16\/(-24))\/((-1)\/(3\/(-10))))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -0.3, 1 in decreasing order.\nAnswer: 5, 2, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 679, 3010, 6913, 12400, 19483, 28174, 38485?\n\"Answer: 2*l**3 + 774*l**2 - 5*l - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/9, -3, 2\/355.\nAnswer: -3, -2\/5, 2\/355, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 8, t: 5}. What is prob of sequence mt?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-2) - (-104)\/(8 - 4). Solve 3*v - 6 = -2*g, 3*g + 0*g = a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4924.134 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 - 3*r - 3. Let b be t(-5). Let z be b\/(-4) - (-4)\/(-16). Solve z*i = -0*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggwrggegrmrmrrgdgrg. What is prob of picking 4 g?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7604.954 tonnes?\nAnswer: 7604954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.972 - -0.028. Let u = 3.62 + -27.72. Let c = y + u. What is c rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75851370 to the nearest one hundred thousand.\nAnswer: -75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 87934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**2 - 26*j**2 + 13*j**2 + 8*j**3 as q*j**2 + h + a*j**3 + k*j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -78, -113, -148?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32537211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a + 2, 205 = 5*f - a. Suppose 0 = -0*t + 2*t - y + 86, t + f = y. Let p = -16 - t. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3014 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -78.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/13))**(26\/9) assuming m is positive.\nAnswer: m**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffffffmffmffffffff. Give prob of picking 2 f and 1 m.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 58*x**2 - 29*x + 703. Calculate y(58).\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 18 = 89 + 10. Solve 8 = -p*m - g, 3*m + 8*g + 5 = 4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from jgjgggggg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93160831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(81\/(-945))\/(495\/(-50)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1587 + 1587.2. Which is the nearest to k? (a) -3\/10 (b) -1\/2 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -3) + (-1 - 2) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3440\/(-645)*279\/(-48).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 823049039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*n + 94. Suppose 9 = 4*c - c. What is the highest common factor of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*a + 35 = -139*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimliwlmivillmlbm. Give prob of sequence wiv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let b(w) = 957*w + 57. Determine b(c(z)).\nAnswer: -957*z**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**3 + 58*o**2 - 1537766 - 58*o**2 + 1537820.\nAnswer: 38*o**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -0.61. Let v = d + 0.21. What is the third biggest value in v, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2541*d - 2*d**2 - 42*d**3 + 9*d**2 - 57*d**3 + 246*d wrt d.\nAnswer: -594*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let q be m(-8). Let z = -5 - q. Suppose 0 = 5*r - 16 - 9. Calculate the remainder when r is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 608427991 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245425?\nAnswer: 5, 31, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + 10?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*c*u**3 + 99*c*u**2 + 152*c*u - 111*u**3 - 2*u + 7865 wrt c.\nAnswer: -218*u**3 + 99*u**2 + 152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2032574 and 1412.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1305 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 5*b - 3. Let m(f) = -3*f + 5 - 7*f - 5*f**2 + 3*f. Let s(y) = y**2 + y - 1. Let p(c) = m(c) + 3*s(c). Calculate -5*p(d) - 4*z(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*10*(-2)\/(-210).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3 (c) -1358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1358*n + 4764717 - 4764717 to the form l + g*n and give g.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/11 (b) -11 (c) 3\/10 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 156702000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c (base 15) in base 16?\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*c + 54, -27*d + 2*c + 36 = -25*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose 1 = v + z, -r*v + 0*v - 2*z - 10 = 0. List the prime factors of (-2)\/3*v*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2617, -2620, -2623?\n\"Answer: -3*k - 2614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -14. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(6\/5))\/h**(4\/7)*h**(1\/5)*h**3*h assuming h is positive.\nAnswer: h**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -180. Let t = 2 - 2. Solve 5*j = -i - 13 - t, -a = 5*j + 4*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 635648 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 5. Let r be ((-38)\/95)\/(1\/(-10)). Are r and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y - 1. Let r(o) = 11*o**3 - 4*o - 4. Let g = -606 - -470. Let m = 140 + g. Determine m*t(j) - r(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (8 - 4) + -10 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*(-10)\/(100\/15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -44*o**2 + 4*o - 3. Let z be s(1). Let k = -18 + z. Let a = k + 93. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3 - 3 + 4*q)*(3 + 1 - 2).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r - 30 - 2*r + 30 to u*r + n and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11637 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gqgqqgqqgqqqqqqgqgq?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -84.665.\nAnswer: -16.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*z + 315*z + 19241 = 386*z for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/2 + 1234614*n + 762135864498 = 0 for n.\nAnswer: -1234614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1*k**(-4\/9))**(2\/5)\/(((k**(1\/4)\/k)\/(k*k**6\/k))\/(k**(1\/4)\/k)**(-2)) assuming k is positive.\nAnswer: k**(1453\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -995\/2 + 3893\/8. Find the common denominator of f and 212\/8 + 3\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*i = c + 10, 4*c - 3*i - 20 = 0. What is the least common multiple of c and ((-4)\/12)\/(3\/(-315))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {c: 1, t: 1, p: 1, y: 1, l: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 20*p**2 + 150*p - 79. Determine l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2 - 11*k**2 + 4*k**3 + 23*k**3 - 17*k - 23*k**2 + 12 - 31*k = 0?\nAnswer: -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-6)\/3 + -4). Let u = 352 - 295.2. Let g = -48.8 + u. Which is the biggest value? (a) 3 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 5*a**4\/24 - a**2. Let y(d) be the second derivative of d**4\/6 + 3*d. What is y(k(o))?\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 10*b**2 - 2*b**2 + 5*b**2 + 23*b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 12*v + 22. Let t be m(-10). Let d be 7 - 3 - (-3 + 3). Solve -t*x = 2 - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -22. Let n = x + -21. Let f be n*(40 - -2)*-1. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 564?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2062*g**5\/5 - g**4\/4 + g**3 + 9*g**2\/2 - 12*g - 4527. What is the third derivative of u(i) wrt i?\nAnswer: 49488*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14097656 (base 10) to base 2\nAnswer: -110101110001110011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 221*j + 4650. Calculate x(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(54\/(14256\/55)*(-12)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-549)\/(-122))\/((-21)\/(-30))?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 10. Let c be m(-5). Let r(u) = 3 + u + 6 + 12 - 22. Let q(f) = -f. Calculate c*q(z) + 2*r(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0252 - -8.9748. Is 47 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12\/23 - 499\/736. What is the common denominator of w and 85\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 954*q + 38155. Give h(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:14 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-27) - (-1 + 152\/(-36)). Solve 0*n - d = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31589 - 20589. Let r be ((-2)\/5)\/((-4)\/o*2). Let w = r - 350. Calculate the greatest common factor of w and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 12. Let t be -4*3\/(-90)*((-100)\/12 - -5). Which is the third biggest value? (a) -4\/3 (b) 3\/4 (c) o (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*m - 99, -3*a + 4*a - 2*m - 99 = 0. Let v = a - 83. Let r(o) = -24*o + 27. Let g be r(v). What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1881 + 4067. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*f + 174*f = -35742. Calculate the remainder when f is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, 0.7, -7.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10.1. Let o = 2143\/9522 + -3\/1058. Sort o, -1\/6, -4, g in decreasing order.\nAnswer: o, g, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 16525 = 13505. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*q - 9. Let s(t) = t**3 - 11*t**2 + 2*t + 1. Let n(m) = m**3 - 12*m**2 + m. Let g(k) = 3*n(k) - 4*s(k). Let p be g(7). Is p < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*k - 1 + 2*k**2 - 8*k - 9*k)*((-2 - 1 + 7)*(6*k - 4*k - 3*k) + (-5*k - 21*k - 63*k)*(-6 + 2 + 2)) as r*k**2 + a*k + o*k**3 + z and give o.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(1 + 2 - 5)*(-15*r + 63*r + 47*r).\nAnswer: 190*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/12*b**4 + b**2 + 0*b + 0 + 1\/2*b**3. Differentiate t(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-3)\/25)\/(85\/(-850)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(-5*(-14)\/175).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 19*r**2 + 93*r - 1197. Give q(12).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.5*303422.\nAnswer: 4399619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 5*d**4\/24 - 4*d**3\/3 + d**2 - 564. Let i(k) = -5*k. Calculate f(i(m)).\nAnswer: -25*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -6 - (4134\/(-65))\/((-6)\/(-280)*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0*d + 0*d**6 + 0*d**3 + 0*d**5 + 11*d**2 + 0 - 3\/8*d**4 + 1\/35*d**7. What is the second derivative of k(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -17*v**6\/30 - v**5\/30 + 16*v**3\/3 + 186*v**2 - 2. Find the third derivative of g(n) wrt n.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2267963*d**2 - 2267973*d**2 + 22*d**3 + 4535934*d**2.\nAnswer: 22*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 50*t**5 + 6*t**4 - 50*t**3 - 14*t**2 + 8*t - 4. Let b(l) = -l**4 + l**3 - l**2 + l - 1. Let j(x) = -4*b(x) + g(x). Solve j(u) = 0 for u.\nAnswer: -1, -2\/5, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2698 and -33\/66662.\nAnswer: 89927038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/(n\/(n*n\/(n\/(n**(-43)*n)))*n*n))*n)*n**28)\/(n**33*n*n*n**(-25)))**(-10\/7) assuming n is positive.\nAnswer: n**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 52102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19831480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 bigger than 44\/4139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111429*-2.\nAnswer: 222858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 0*u**3 + u**3)*(-3*u + u + 0*u)*(2 - 4*u - u - 1).\nAnswer: 20*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.4 (c) 307090 (d) 0.01 (e) -0.1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x + 57. Let v be s(-3). List the prime factors of (-207532)\/(-390) - 4\/v.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -55*w**2. Let f(v) = -516*v**2. Determine j(f(l)).\nAnswer: -14644080*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.729 - 0.071. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 4 + sqrt(11) - sqrt(1100)*-3.\nAnswer: 4 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89867403*o*p - 197277953*p wrt o.\nAnswer: 89867403*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1000110100?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 69309.41 to the nearest one hundred.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/91 and 5\/167258.\nAnswer: 167258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48233\/1417 + 21\/109. Let p = n - -1825\/52. Suppose p*d**3 + 9\/4*d + 1\/2 + 3*d**2 = 0. Calculate d.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 + 6. Let o be w(0). Let y(i) = 5*i + 2 - 5*i + 4*i. Is y(o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22*s + 4. Let d be m(-4). Suppose -4*f = 4*a + 25 + 63, 0 = -4*a - 5*f - d. Let k be 14\/a - 2\/9. Sort k, 2, 3 in decreasing order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 12. Suppose w - 36 = -3*w. Suppose -2*n = 1 + w. Let x be v(n). Solve -g = -2*j - 3, g - x = -g + 3*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.071 and -0.27917.\nAnswer: 0.01982107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89679.\nAnswer: 3, 167, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/((-30)\/(-54))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*(-200)\/(-20). Suppose f*h + 1269 = -171. Let k = h - -490. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -0.09, 23, -1, 85, 3 in decreasing order.\nAnswer: 85, 23, 3, -0.09, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 40. Let r be (1 - 2)\/(1 - 8\/w). Which is the fourth biggest value? (a) -2\/17 (b) 7 (c) 4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297216541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1941*c**2 - 223*c + 1309. Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v. Suppose -3*a - a + 16 = v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4493957 and 15353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 5 (c) 88 (d) 1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9658 is divided by 651.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2282 and 63471770?\nAnswer: 63474052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -14. What is the highest common factor of 99 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 1. Suppose 0 = 2*l + 5*c - 394, 0 = 5*l - 0*c + c - 962. Let g be (-4)\/22 + l\/(-33). Is n(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*f - 383*f + 15552 = 0. What is the highest common divisor of f and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47054 divided by 5.\nAnswer: 47054\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -2, -1, -5, 40539 in descending order.\nAnswer: 40539, 1, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898075913 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 7*x**5\/120 - 5*x**4\/4 + x**3\/3 + 25*x. Let l(u) be the second derivative of d(u). What is the derivative of l(t) wrt t?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.85 + 112.5. Let z = 0.35 + g. Let w = 13 + -64\/5. Which is the biggest value? (a) -10 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = 22. Solve -3*j = -2*o - z, 5*j - 18 = 4*o - o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from {p: 5, n: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**2 - 9*g**2 + g**2 - 13*g**2 in the form a*g**2 + s + m*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 8. Let s(y) = y - 1. Give j(t) + 4*s(t).\nAnswer: -t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*((-18)\/4)\/(-9). Suppose 0 = t*n - 1 - 9. Solve 4*k + q + 11 = 0, -3*k + k - 10 = n*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2321073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40830961 is divided by 1464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -19, 3, -8 in increasing order.\nAnswer: -19, -8, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -n + q, 4*n = -3*q + 68. Let v = n - 22. List the prime factors of 2 - 20\/(v - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x\/x**(1\/7)*(x\/(x**(-1\/6)\/x))\/x**(-3)*((x\/x**3)\/x**(5\/3))**(-1\/2) assuming x is positive.\nAnswer: x**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 23*z - 18. Let n(l) = -3*l**2 + 35*l - 27. Let g(m) = -5*n(m) + 8*u(m). Let y be g(7). Is (-9)\/15 - (-63)\/y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trt when three letters picked without replacement from rtrrrtt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/74675 and 34\/25.\nAnswer: 74675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1233 and 101\/198.\nAnswer: 27126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t**3 - 10*t**2 - 4*t + 5. Let f(d) = 53*d**3 + 40*d**2 + 18*d - 22. Determine -2*f(q) - 9*w(q).\nAnswer: 11*q**3 + 10*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14378 + -7972. Calculate the smallest common multiple of 12 and a.\nAnswer: 38436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560297 (base 14) to base 5.\nAnswer: 1221421031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348 + 355. What is the greatest common divisor of 686 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2083, -8317, -18725, -33307, -52063, -74993, -102097?\n\"Answer: -2087*k**2 + 27*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/(-2) + -6 + 4 + 0. Suppose -3*a - q = -13. Which is greater: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 < -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + t**3 + 0*t**2 - t + 1\/2*t**4 + 1\/20*t**5. What is f(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 = 5. Suppose c*t - 54 = t. Calculate the greatest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 + 4*z - 2. Let i(o) = o**3 + o**2 - o. Let t(a) = -d(a) - 3*i(a). Let g be t(-2). What is the units digit of (g\/(-20))\/((-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*147\/28*4\/18. Factor -8 - f*x**2 - 92\/3*x.\nAnswer: -4*(x + 3)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.7 - -0.7. Which is smaller: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391057607971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 + h**2\/2 + 50*h - 4. Let c(d) = -d**3 - d - 8. Determine -c(r) - s(r).\nAnswer: r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/21)\/((-6085)\/(-34076)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1464*h - 321311 = -471*h - 71696 for h.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5133 - 4844. Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-28)\/s*s)**(3\/17)*(s*s\/(s\/s**(-10)))**(-1\/16))**(7\/3) assuming s is positive.\nAnswer: s**(-2779\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*h + 5. Suppose -5*b - l = 23, l = -b - 2*l + h. Sort 5, b, -4.\nAnswer: b, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 3 - 2*w + w - w. Let u(v) = 14*v - 10. Let b be -1 - 12\/(-6) - -4. Let t(o) = b*u(o) + 16*n(o). Give t(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:26 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29759813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 95642631?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39822547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.37 from -90892966.6.\nAnswer: -90892963.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*f + 9. Solve 12 - f = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 * -5155234\nAnswer: 144346.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n = 13*n + 960 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**5 + 2255160*n**4 - 163049519*n?\nAnswer: -240*n**3 + 27061920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 13. Let d be a(3). Suppose d*t = -4*t + 728. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -266, -529, -790, -1049, -1306?\n\"Answer: l**2 - 266*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*l + 2 + 49*l**2 - 77*l**2 - 2*l**4 + 28*l**2 to b*l**3 + d*l + i + o*l**4 + v*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23718120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2785*y - 1752*y + 295984 = -4659*y for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/688?\nAnswer: 3\/688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*s, 64 = 2*k - s + 46. Sort k, -1, -358.\nAnswer: -358, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 3.4\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32787?\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79014 and 4410602?\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574 and 34.\nAnswer: 9758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/78 and -137\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1992\/(-160)*(44\/18)\/1. Let x = g - -133\/5. Find the common denominator of 53\/4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906583455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, -2*a = 3*o - 2*o - 10. Let r = 9 - a. Suppose r*m = 4*h + 8, 4*h + 5*m - 11 = 17. Do h and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 - (-1 + -2 + 2). Let w = 273 + -107. List the prime factors of w\/p + 4\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/20 - q**3\/3 + 5*q**2. Let b(v) = -57*v + 18. Let h(x) = 9*x - 3. Let u(w) = -b(w) - 6*h(w). What is r(u(y))?\nAnswer: -27*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 + 3*z - 5. What is the remainder when l(6) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 155328?\nAnswer: 2951232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 5*u + 1, 0 = 3*u + 302*x - 297*x + 21 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(5*y + 6*y - 6*y + (-3 + 0 + 5)*(2*y - 4 + 4) + (1 + 3 - 2)*(0*y + 3*y - 4*y) - 2*y - 3*y - 7*y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 95?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, i: 2, r: 5}. What is prob of picking 2 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 6 - (-15 + 7 - 5). Let m(h) be the third derivative of 5\/24*h**4 + 1\/30*h**6 - c*h**2 - 1\/6*h**3 + 0*h + 0 - 2\/15*h**5. Factor m(f).\nAnswer: (f - 1)*(2*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*u = -174*u - 4411 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5374 + -0.537371224. What is t rounded to 7 dps?\nAnswer: 0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234.000174 + 234. Round u to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (130436742\/399 - 1). Let y = 326907 + t. Let k = -51\/38 - y. What is the common denominator of k and -3\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + a = -19, 5*a = 5*r + 2*a - 29. Suppose 7 - 3 = r*u + 2*p, 5*p = u - 12. Solve 0 = u*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 - 4*k + 107. Let i(n) = -6*n**2 + 3*n - 106. Determine -5*i(m) - 4*j(m).\nAnswer: 2*m**2 + m + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.8 - 53.8. Let f = p + 23. Let o = f + 27. What is the nearest to -2 in o, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 257241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 31*h + 30*h = -8, 3*t - 2*h = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/55 <= 70.54929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 37*q\/4 - 33.\nAnswer: -(q + 4)*(q + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - 8*n**2 - 8*n**2)*(-10*n + 6*n + n).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22055.51 + -22067.50951. Let k = -12 - t. Round k to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12980029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 32*u**2 + 17*u + 1. Let s be i(-10). What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:42 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9029?\nAnswer: 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100111101011111 (base 2) to base 10.\nAnswer: -151391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332510?\nAnswer: 2, 3, 5, 44417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h. Let i(a) = -790738*a - 6. Calculate j(i(x)).\nAnswer: 4744428*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386135 divided by 5.\nAnswer: -77227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + -108. Let q(r) = 4*r + 1. What is q(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180873923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -7*n**4\/4 + 3*n**2\/2 - 22*n + 20. Let z(s) be the first derivative of m(s). Differentiate z(t) with respect to t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, -39 in increasing order.\nAnswer: -39, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2 + 8 + 14 + -6. Solve i*k - 30 = 14*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4560 and 111120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-5) + -7 - -2. Let t be 2 + 1 - 0\/2. Suppose -28*a + 33*a = 0. Put a, t, j in descending order.\nAnswer: t, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -710 = -54981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:42 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -115*v**2 + 347135*v + 845880 = 0.\nAnswer: -56\/23, 3021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 - 20*n**4 + 2673*n**3 - 1336*n**3 - 1339*n**3)*((-2 - 1 + 1)*(3 - 1 - 1) + 28 - 40 - 31) to z*n + k*n**2 + q*n**4 + p + g*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21335 = -3*b, -8534 = 18*w - 20*w + b. Calculate the highest common divisor of w and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6324861 divided by 159.\nAnswer: -39779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4802, 363, 2.\nAnswer: 2, 4, 363, 4802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j + 7*j**2 + 16 + j + 5*j**2. What is l(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*d - 2 + 2 + 6*d**2 - 267*d as w*d**2 + y*d + z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(1 - 2 + 2)*(3*w**3 + w**3 - 2*w**3)*(0 + 0 - 3 + (-5 + 4 + 0)*(-2 + 4 - 1)).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62056 + 167377. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 17. Which is the closest to -0.2? (a) -0.3 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -41\/5, -0.6, -62, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7697014?\nAnswer: 2, 13, 19, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 11. Suppose -16 = 4*k - 0*k - 5*z, -k = 4*z + 4. Let g be -1*k\/(-32)*22*-4. Let u(s) = -3*s**3 + 6. What is g*u(p) - 6*f(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*q + 25, -4*q - 5*g = -g - 40. Sort 2, q, 7 in increasing order.\nAnswer: 2, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14072320783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 83?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 12 = -11*u. Which is the closest to u? (a) 1 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51975)\/48510 - (-236)\/(-28).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104282, -208563, -312844, -417125?\n\"Answer: -104281*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(-5 + (1 + sqrt(162) - sqrt(162))*-1 + 3*(1 + sqrt(162) + sqrt(162)))**2.\nAnswer: -648*sqrt(2) + 11680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(((1 + sqrt(1700))*1*-3 + -1)*-3*6)**2.\nAnswer: -14887155 - 233280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -7 - (2 + 1 - 4). Suppose m + 403 = z - 911, 0 = a*z + m - 2643. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 8*v + 4*v**3 + 2 + 2*v to the form f*v**2 + r*v**3 + p + o*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (300\/40)\/((-6)\/(-8)). Let d be (-5)\/y - (-25218)\/(-28). Let v = -903 - d. Find the common denominator of -7\/9 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 4. Let y be q(3). Let t be 4\/y - (-26)\/10. What is the third derivative of 0*w**t - w**2 - w**3 - w**2 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Calculate the remainder when -1 + 12 + (-6 - -3) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:31 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**3 + 6*q**2 - 5*q + 4. Give x(4).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9637481, -9637485, -9637491, -9637499, -9637509, -9637521?\n\"Answer: -n**2 - n - 9637479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/12*15 - -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - -124. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 + -12 + 73)*1. Calculate the highest common divisor of f and 8843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 797682*d**3 + 797681*d**3 - d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 - 2*b**3 + 21*b**2 wrt b?\nAnswer: 120*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f4 (base 16) in base 4?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q + 6. Let r be a(2). Let u be 3 + ((-3)\/r)\/((-2)\/(-4)). Suppose -44*h + 40*h + 1212 = u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19*z**2 - 168*z + 156. Give p(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -19*y**3\/3 + y**2 + 5*y - 595. Let q(l) = -19*l**2 + 2*l + 4. Give -4*h(b) + 5*q(b).\nAnswer: -19*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20374\/13 - 1567. Is 14 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18157333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) -116 (c) -1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2107\/148 + 204\/37. Calculate the common denominator of k and 97\/18 - (1 + -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*v, -4*r + 3*v + 15 = 2*v. Let f = 62 + -26. Suppose s = f - 3. What is the greatest common factor of r and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2228, -2101, -1962, -1805, -1624?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5 + -257a?\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181.839 + -0.161. Let p = v + 192.9. Let a = p + -11. What is the nearest to a in -0.5, -6, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1583983, 1583988, 1583993, 1583998?\n\"Answer: 5*x + 1583978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.58259809 to one dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5478, 5434, 5360, 5250, 5098, 4898?\n\"Answer: -m**3 - 9*m**2 - 10*m + 5498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -0.031.\nAnswer: 1.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (96 - (-53 + 101))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 + -1)*-43. Let w be q + -3*(-3 + 2). Is (-4 - w\/8)\/(2\/2434) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/(((r\/((r**(-2\/33)\/r*r)\/r))\/r)\/r)*(r\/r**(1\/27))\/(r\/((r\/(r**18\/r))\/r*r*r)) assuming r is positive.\nAnswer: r**(-5969\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694679 - 1694679 - 449*p.\nAnswer: -449*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 3*w**3 + 8*w**3 - 7*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*66\/121.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 981035 and 891?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i, 5*z + 27*i - 25*i - 40800 = 0. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 9 + 10 - 6. Calculate k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 14*f + 120. What is n(10)?\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 c when four letters picked without replacement from {c: 1, b: 3, r: 2, g: 2, t: 1, n: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {e: 1, r: 2, i: 8, m: 2, q: 1, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 103, 232, 413, 646, 931, 1268?\n\"Answer: 26*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 500561+19.059\nAnswer: 500580.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let t(n) = 7*n**2 + 15*n. Let r(o) = -8*o**2 - 8*o. Let m(w) = -6*r(w) - 7*t(w). Calculate p(m(b)).\nAnswer: b**4 + 114*b**3 + 3249*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0294*0.011.\nAnswer: -0.0003234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45290 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -n + 506. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s - 1. Let r = -15 + 8. Let g be -2 + 5 + r + 1. What is the tens digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 7 - 2*k + 10 + k**2 - 13. Let p be (-36)\/21 + (-2)\/7. What is m(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78661721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636 divided by 244?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 390671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 19277.8\nAnswer: -19274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 451*y**2 + 11139*y + 1209936. Calculate s(-112).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3334*x**2. Let k(u) = -3*u. Give p(k(b)).\nAnswer: 30006*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 71336569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*w + 3*w**2 + 98 - 98 - 5*w**2 in the form h*w**2 + l + g*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -803*j**3 + 59*j**2 + 220*j + 9. Is 113 a factor of m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7527 divided by -14802.\nAnswer: 2509\/4934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.92 - 0.92. Let g = i + -72.999615. What is g rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((64 + (-20 - -14) - -13) + -18)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1959 + -0.2959. What is the fifth biggest value in 1\/4, b, -2\/287, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010010 + 111000?\nAnswer: -1011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let q be b(5). Suppose -q*a + 2 = -3. Suppose -p + 1 = -a. Solve -w + p*w = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -17*c**6\/120 - 23*c**5\/60 + 14*c**2. Find the third derivative of w(v) wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 77*s - 1425. Give v(19).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1519 - -857?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 3. Let g(j) = -2*j + 2. Let h be ((-54)\/(-45))\/(-3 - (-34)\/10). Give h*i(a) - 7*g(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 100 = -37*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Suppose x - 19 = -y*t - 5, -5*t - 5*x = -10. Which is the closest to 0? (a) t (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -322. Is d smaller than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -7. Let x = 86.0000123 + j. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**3 + 3*q**2 + 20*q + 22. What is n(-3)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q**2 - 385*q + 240 = 0.\nAnswer: -16, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*c + 391*c = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 233060\/223, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22320 - -1222132203?\nAnswer: 1222103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44 - ((-12 - -11) + 3). Let c be (-2 + 3 + -44)*-1. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 9*b - 12. Let p be o(12). Suppose -2*v = -y - 6, 3*y - 4*v = -2*y - p. Put 0.4, -0.4, y in decreasing order.\nAnswer: 0.4, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 20*c + 20*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 1520 = -8*z. Let w(o) = -o**3 + o + 138. Let h be w(0). Let s = h - z. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341409294 to the power of 1\/2, to the nearest integer?\nAnswer: 18477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 7. Let g be a(6). What is the closest to -2 in -3, g, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2*k**4\/3 - 7*k**3\/6 + 7*k**2\/2 + 3373*k. Let v(b) = -5*b**2 - 5*b + 5. Suppose 2*x = -2*x + 28. Give x*v(u) - 5*c(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -187230 and 6.\nAnswer: -1123380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.1 (b) 5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1e5?\nAnswer: 1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-3 + -2*(-2)\/(-4)). What is the units digit of (-19968)\/18*(-3)\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1216*n - 6032*n + 806*n**3 - 804*n**3 as v*n**2 + p*n + d + t*n**3 and give p.\nAnswer: -7248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -495, -1202, -1919, -2646?\n\"Answer: -5*y**2 - 692*y + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 658*s**4 + 2*s**2 - 869.\nAnswer: 15792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let m(k) = 2*k**2 + 4*k - 3. Let d be m(g). Calculate the highest common divisor of d and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 72, 108, 144, 180?\n\"Answer: 36*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146038.3 and 59?\nAnswer: -8616259.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + 3*n**3 - 12*n**2 + 24*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1366 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 4. Let i be n(-3). Suppose 0 = -v - 2*h - 3, -i*v - 2*v = -4*h - 24. Calculate the smallest common multiple of v and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.441 and -123598077?\nAnswer: 123598081.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 1, s: 6, o: 1, p: 1}. What is prob of sequence ppos?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1369623.5317.\nAnswer: 1369623.8317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 393 - 342. Calculate the remainder when 392 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-112)\/10)*12\/(-10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 3 (c) 4\/3 (d) -0.04 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(48) + sqrt(12))*-3)\/((sqrt(80)\/sqrt(4))\/sqrt(10) - (sqrt(2) + sqrt(20)\/(sqrt(20)\/sqrt(2)))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 168 - 108)*(-2*j + j + 3*j)*(0 - 2 - 2).\nAnswer: 2008*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5274 + -67.9826. Let h = 1.11 + k. Round h to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1175737, 1175739, 1175741, 1175743, 1175745?\n\"Answer: 2*t + 1175735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -29b?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -2 - (26 + -28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3) - sqrt(35))*3)\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -70*v - 45\/2*v**2 - 5\/3*v**3 + 99. Determine z, given that w(z) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 678, -2, -226, 21 in ascending order.\nAnswer: -226, -2, 21, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220 - 1068\/5. Suppose 0 = -15*b + 11*b + 20. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238 - -245. Let m(s) = 27*s - 7. Let p(g) = g. Let z(o) = m(o) - 6*p(o). Let b(q) = -11*q + 4. Let x(j) = a*b(j) + 4*z(j). Give x(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158*w = -1157*w + 2327*w - 43764. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/4 + 21*b**3\/2 + 29*b**2 - 311*b. What is the derivative of f(i) wrt i?\nAnswer: -6*i + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from bhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -42350 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107761 or -107881?\nAnswer: -107881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0*-106.172\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/5, 2\/3, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/5 of a millennium?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*d + 30, -6 = 7*v - 2*v - 4*d. Let n(p) = 2*p - v*p - 2*p**2. Let k(z) = -2*z**2 + z**2 + 3*z**2. Give k(n(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*3*sqrt(1088))**2 - (2 + sqrt(1088))*5).\nAnswer: -40*sqrt(17) + 39158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2354 and 2321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-12)\/8)\/(-1)*6. Suppose -4*v + y*f + 59 = 0, -3*f - 1 = 2. Calculate the remainder when v is divided by (8\/(-3))\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z + 10. Let p be u(-4). Let f be (-5)\/(4 - 22\/6). Let i be (f - 3)*(-1)\/(-2). Sort i, p, -5.\nAnswer: i, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from ldddydddddddddddogo?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/78 and 46\/11?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-4)\/(-4) - 2. Solve -3*h + 2*r + 6 = d, -3*h = -h + 4*r - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmcmyjmjlhj. Give prob of sequence hcy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 292 = -22. Calculate the remainder when (-29)\/(-2) - (-1)\/(-2) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309135187?\nAnswer: 19, 16270273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -35839000413?\nAnswer: 35839000418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5*u**2 + (10 - 10 + 2*u)*(5*u - 11*u - 4*u))*(-u**2 + 0*u**2 + 4*u**2).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**2 + 2*f - 2. Suppose 121*k - 151 + 30 = 0. What is p(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**3 - 3*o**2 - 2*o. Let y be f(-2). Let v be y\/(-16)*(-2)\/5. Is v <= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 9*t**2 - 10*t + 13. Let x be k(-10). Let r = x + 11819\/6. Calculate the common denominator of r and -121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 45*r + 45 + 57 - 102.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -51255*b. Let m(r) = -7*r. What is m(c(y))?\nAnswer: 358785*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38481069.\nAnswer: 3, 11, 1166093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - o + 10, 15 + 1 = 2*j - 4*o. Solve -3*r + 2*h - 4 = j*h, 3*r - 5*h - 31 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*w**5 + 3703*w**4 - 115*w**2 - 469*w + 3 wrt w?\nAnswer: 19320*w**2 + 88872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -29*k**2. Let o(v) = 2*v. What is o(w(l))?\nAnswer: -58*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56358609*b**6 + 203140038*b**2.\nAnswer: 6763033080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1464, 2912, 4360?\n\"Answer: 1448*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 0. Let j = i - 2. Suppose -3*q + 1 = -8. Solve -j*h - 11 = -4*s, -q*h - 7 = -0*h - 2*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156148?\nAnswer: 2, 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, -4, 1, -273 in increasing order.\nAnswer: -273, -37, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 897*k**3 + 22254*k**2 + 60528*k + 39168 = 0. Calculate k.\nAnswer: -272, -24, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 241, 242, 243, 244?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - b + 0 + (b - 3 + 3)*(-2 + 1 + 8) to the form w*b + m and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2)\/((-1)\/2). Let y = -18 + 16. Sort y, 4, i in descending order.\nAnswer: 4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658706928 to the power of 1\/3, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*10 + (-84)\/14. Solve -z = k, -3*p = -p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/3 + 54838*c + 2255404683 = 0. What is c?\nAnswer: -82257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -17. Let y(f) = 7*f + 2. Let g be y(4). Calculate the highest common divisor of g and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 46*r**2 - 14*r + 31. Does 46 divide c(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 34. Let m = n - 26. Let k = -6 - m. Solve 2*w + 24 = -w - 3*c, 5*w - 4*c - k = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.041378.\nAnswer: 0.082756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0 + (-329)\/1). Suppose 0 = -l + 4*c - 2*c + h, 3*c = l - 332. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 + 3*r + 1. Let t be j(-3). Suppose -2*b = t - 17. Solve -3*v = -5*l + 18, l - b = 3*v + 2*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535291 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 491415316381.00001727 + -491415312122. Let z = 4259 - c. Round z to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 62587826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:44 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.46003 days in hours?\nAnswer: 1235.04072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/60 + 119*o**4\/24 - 20*o**3 - 2153*o**2. Factor p(r).\nAnswer: (r - 1)*(r + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from ahhaamahha?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((3085\/(-4319))\/(-1 - (-68)\/48))\/(8\/(-644))\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -65953*o - 1319156. Determine v(-20).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and -0.2534?\nAnswer: 15.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*d = -459, -3*d = -4*c - 0*c + 909. Let f = 27 - c. Let t = -69 - f. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/19, -3, -4 in ascending order.\nAnswer: -4, -3, -2\/9, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*n*t + 2702786*l**2*n - 2*l*n*t - 257601*l*n - 2*n*t + n wrt l?\nAnswer: -4*n*t + 5405572*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 199813155.3 rounded to the nearest ten thousand?\nAnswer: 199810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 1717?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1195 + -2098. Let a = 903 + u. Is 1\/674 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - (-2 - -4))) + 341 + (-746 - -434).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 1002 + 318 = 0. Let y = -88 + v. Solve 0 = 3*x + 3*q - 21, x + 5*q + y*q - 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -358, -590, -822?\n\"Answer: -232*l - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104\/20 - (-2)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11 - 450\/42 - 23502\/(-14)?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {s: 1, t: 2, x: 4, y: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/34? (a) -2 (b) -5 (c) -4 (d) -4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/6 - v**2\/2 - v. Suppose 0 = -h + q + 17, 2*h - h + 2*q - 23 = 0. Let u(n) = -9 - 9 + h - n. Calculate -c(f) - 2*u(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 - 11 = 0. Calculate the highest common divisor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*k - 134*k - 128*k + 590*k - 125*k - 131*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*-2*sqrt(2835)*1)\/(sqrt(35)\/(-1*sqrt(5)) + sqrt(448)).\nAnswer: -18*sqrt(5)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 6*p**2 - 2*p - 20. Let b be z(8). Suppose 0 = -4*y + 176 + b. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 796, -4, 2\/23, 430\/253, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1074\nAnswer: -107.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234195817 to the nearest integer?\nAnswer: 15303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20644 (base 8) in base 3?\nAnswer: -102210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180675 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:15 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 4 - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 340*g. Let a(s) = -2903*s**2 - 54*s. Determine d(a(c)).\nAnswer: -987020*c**2 - 18360*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j*j)**(-2\/39) assuming j is positive.\nAnswer: j**(-10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -2 - (6 + -10). Suppose -99 + 24 = -5*a + 4*q, -z = -a - q. Let x = 170 + -60. What is the highest common divisor of a and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 568 and 701693?\nAnswer: 5613544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5662738, 5662743, 5662750, 5662759, 5662770?\nAnswer: 5662783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 1. Let v(i) = -29*i**2 - 348*i - 174. Give 174*b(p) + v(p).\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let a(q) = -110*q**2 + 85*q + 2. Calculate p(a(j)).\nAnswer: 110*j**2 - 85*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 36*d**3 + 14*d**2 - 91*d - 6. Is g(6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let t(g) = -8809*g. What is y(t(i))?\nAnswer: 26427*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 272891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t + w - 58, -5*w + 89 = 4*t. Let z = 0 - -4. Let b(p) = -6*p - 68. Let k be b(-16). Solve z*m + t = 0, 2*m + k = 4*j - 0*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and -0.07359?\nAnswer: 0.03641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)*(-3 - -2). Sort 4, r, 41 in ascending order.\nAnswer: r, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28607659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 234886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -15.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 - 4*l - 3. Let g be m(-3). What is the highest common factor of 63 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 6, -87, -10, -11 in descending order.\nAnswer: 6, -1, -4, -10, -11, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1411 + -1408 - (-1 + 0 - (2 - (-3 - -2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h**2 - h - 21. Let n be s(4). Let a = n + -24. List the prime factors of a.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/8)*w**(-2))\/((w*w**(-1\/3)\/w)\/w**(-1\/2)) assuming w is positive.\nAnswer: w**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 6, a: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(70))\/(sqrt(28)*-2 + sqrt(28)))\/((sqrt(2) - sqrt(200))*4 + (sqrt(288)*6 - sqrt(288))).\nAnswer: 5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 1)*(4 + 0 - 3) - 37 + 6 + 18)*(-2*h + h - 2*h) as q + c*h and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 783 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208344*r - 516 - 2097 = -208305*r for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 612827371 to the nearest one million.\nAnswer: 613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 3*r**2 - 4*r**2)*(-1579 - 65827 - 14834 - 57152 - 18781 - 3421) as t*r + n + v*r**2 and give v.\nAnswer: 323188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 3*s - 28*s as f + o*s and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -6, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/667 + -16148\/23345. What is the common denominator of z and -61\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 - 103 = 2*p. Calculate the greatest common divisor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*z = -4*z + 83, 6 = 3*z. Let a(c) = 28*c - 582. Let d be a(20). Let r = d + j. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19712)\/(-24192)*(-342)\/(-66)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 85976, 4, -4, 1 in ascending order.\nAnswer: -4, 1, 4, 85976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = -5*r - 16, 4 = -4*y - 3*r. Suppose -3*m = y*q - 651, -2*m - 642 = -5*m + q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)**(1\/34))**(-7)*((f\/f**(-1\/3))\/(f\/f**(-1\/9)))\/((f**3\/f)\/(f**4\/f)) assuming f is positive.\nAnswer: f**(311\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5471791480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h\/(h**(-29)*h)))\/h*h)**(1\/32)\/(h\/(h\/(h\/(h**(-46)*h)))*h)**(-1\/21) assuming h is positive.\nAnswer: h**(479\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(52)\/(-2*sqrt(4)))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11170 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187186 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46989 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 6*j**2 - 2. Let f(k) = -11*k**3 + 28*k**2 - 6*k + 31. Determine -f(h) - 5*z(h).\nAnswer: h**3 + 2*h**2 + 6*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*w - 150, 4*a + 4*w + 120 + 80 = 0. Let u = a + 52. What is the closest to u in -6\/13, -4, -3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2. Let k be t(2). Let v = -36 - -37.7. Let j = v + 14.3. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931161293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(3 - 2 + 0)*(0*o**2 + 5*o**2 - o**2)*(-o + o - 2*o + o + 4 - 4 + (2 - 3 + 0)*(-3*o + 2*o - o) + 0*o + 3*o - 2*o - 9 + 10*o - 5 + 15).\nAnswer: -96*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {s: 11, k: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - (4 - (-1 + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:23 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2059733 and -99\/1076?\nAnswer: 8238932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (1 - (0 + -14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 830470265 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -23*r**3 - 5*r**2 - 5*r. Let j(h) = 11*h**3 + 2*h**2 + 2*h. Calculate -4*f(u) - 10*j(u).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 11*l**2 - 12*l - 1. Determine k(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 7 = b. Suppose -4*o + 5 = -b*o. Sort 9\/4, 4, o in ascending order.\nAnswer: o, 9\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 122?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435.60369 rounded to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 0, -x + 7*i = 8*i + 5. Which is the closest to 2? (a) -0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1 - (-19 + 7). Let z = w + 7. Let o = z + -8. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 411852, 1647507, 3706940, 6590157, 10297164, 14827967?\n\"Answer: u**3 + 411883*u**2 - u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 - -396. Let y = p - 108. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 0*f - 4*f)*(-8 + 3*f**2 - 18*f + 18*f) to the form o*f**2 + v + d*f**3 + g*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -129, 1.\nAnswer: -129, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_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: Simplify (u**(-3)*u**(1\/3)*u**(-6\/19)\/(u\/(u\/(u\/u**5))))**21 assuming u is positive.\nAnswer: u**(406\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15182296?\nAnswer: 2, 1897787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 45*z + 1313. What is b(31)?\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 454764 in descending order.\nAnswer: 454764, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -63. Suppose 3*o - 116 = o. What is the remainder when o is divided by ((-10)\/w)\/((-70)\/24 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 1:22 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 18*x**2 - x + 1. Give b(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -337\/1769 + 6\/29. Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Let u = 2 + -2. Suppose 4*j - 3*r - 51 = u, 0 = j - 0*j - 4*r - 29. Solve -x*d = -4*h - 16, 4*h - j = -d - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0, -2, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 15293b?\nAnswer: -152962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1788)\/(-42) - (-64)\/(-78)*39?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4366)\/3481*(-6313)\/107.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 168\/5*x**5 - 23*x**4 + 6*x**6 + 0*x - 108 + 40*x**2 - 48*x**3. Suppose u(t) = 0. What is t?\nAnswer: -5, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/12 - 1)*-4. Let s(t) = 3*t - 10*t + t**2 + 9 + 0*t. Let q be s(w). Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44347320 + 44347387.006303. Let z = -0.007063 + s. Let a = 67 - z. What is a rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:34 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -m + 77873, 2*q + 2*m - 49541 = -18387. What are the prime factors of q?\nAnswer: 2, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4384 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let t = 19 + -24. Let r be i(t). Suppose 0 = r*k - 2*k - 18. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**5)**6\/((p**(-4\/7)\/p)\/(p*p\/p**(3\/2)))**(-6\/19) assuming p is positive.\nAnswer: p**(3903\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 + 6*n - 6. Let b be g(5). Suppose -b = -5*y + 56. Let m be 9*(-11 - 306\/(-27)). Sort y, m, 1 in increasing order.\nAnswer: 1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 2.99. Let w = t + -3. Let g = 3 + -3.1. Which is the closest to g? (a) 0.1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 0*b - 17 = p, -5 = -2*b + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/6 + (-430)\/516. Solve 0 = -s*t + 4*m - 0 - 5, -3*t + 2*m = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:08 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3478.83 millennia?\nAnswer: 34788.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (108\/(-60))\/(6\/(-10)). Let m be (4 - -8) + z\/1. Let l be (-8)\/28 - m\/70. Is 16 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4718 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqeb when four letters picked without replacement from {q: 3, e: 2, y: 9, b: 2}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 40. Suppose -2*t + v + 2 = 0. Find the second derivative of -f**3 - 23*f + 484*f**4 - 475*f**4 + f**t wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 444094593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185502827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2. What is u(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/20 + f**4\/4 - 13*f**2 + 2*f. Determine t, given that q(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Suppose m + 32 = -3*d - 3*m, 0 = 2*d - 5*m - 17. Let k = 115 - 114.8. Which is the smallest value? (a) l (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:35 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 times -6?\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -205368.756 to the nearest 100.\nAnswer: -205400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 2788*q**3 - 974402*q**2 + 1940448*q - 968832.\nAnswer: -2*(q - 696)**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*w + b, 0 = 5*w - 3*b + 18 + 12. Let x be ((-182)\/w)\/((-6)\/18). What are the prime factors of 3\/(-1) + x\/(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1215 - -35249\/29. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003416031 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 + -0.68. Let o = -1\/7586 + 91069\/280682. Let h = o - 11\/148. What is the second biggest value in t, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -16 (c) -6 (d) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2999665485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiiaiaaiiooyppppp. What is prob of picking 3 a and 1 i?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:14 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8495740 and 28566?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 0.37. Let s = 83 - 43.2. Let h = s - 40.8. What is the third smallest value in -3\/4, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6504, -13008, -19512, -26016, -32520?\n\"Answer: -6504*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -5109?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from lllllslclclsl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86693 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2 = 2*c, 2*c - 12 = -h - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 14*m = -4*m + 19*m, -v - 3*m = -1 + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbbabababa. Give prob of sequence aaaa.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.068405944 + 0.0684. What is w rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-182)\/84 - 10\/(-6))*-290.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/336 and 12\/44945.\nAnswer: 15101520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 930\nAnswer: -120.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l + 9. Let o be c(-6). What is the first derivative of -2 + 40*h + o*h + 79 wrt h?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2624 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 13. Let a be o(9). Let h = a + 9. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 890, 2049, 3876, 6707, 10878?\n\"Answer: 56*q**3 - 2*q**2 + 773*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649510 is divided by 1150.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -24, -233 in descending order.\nAnswer: -24, -107, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 2 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332303303 + 10?\nAnswer: 332303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a + 1?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(14 + (0 - 0 - 5)). Let k be (-17)\/l + 17\/(119\/14). Factor -2\/3*q - 1 - k*q**2.\nAnswer: -(q + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:27 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*z + 5*z. Solve m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljnji. Give prob of picking 1 i and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50566\/3 less than or equal to 16854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {c: 4, j: 2, s: 1, d: 1, x: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*s = -286, 170 = -c - 2*c + 2*s. Let v = 404\/7 + c. What is the nearest to 8 in 4, -3\/2, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550976 divided by -221936?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 4. Let i(a) = -3*a - 24. Let p be i(-8). Let d be p + 4 - 2\/(4\/(-10)). What is t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 102904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from {i: 5, n: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10535 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 3\/7, -2044836 in descending order.\nAnswer: 2, 3\/7, -0.5, -2044836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.04 - -38.86. Let a = -49 + w. Let f = 4 + a. What is the nearest to f in -1\/4, -5, 1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 43*w + 81. Is 24 a factor of a(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-36))\/(-10)*(-1)\/(2\/108).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6.4. Let h = 0.6 - f. Let p = -0.4 + h. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*m - 11*m - 9*m - 6 with respect to m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1419606481.99999989 - -1419606460. Let c = -3.6 + -18.4. Let z = c - s. Round z to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -18918.\nAnswer: 9459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-1*(4 + -2). Let w = -6 + 8. Suppose w*m + d + d = 60, -q*d + 95 = 3*m. Solve -j + 4*a - m = 0, -20 = -j - 2*a - 3*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67528 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 7\/(-2))*2. What is the closest to h in 2, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g**2 + 4*g**3 + 17*g**2 + (g + g + 0*g)*(3*g - 3*g + g**2) - 18*g**3 - 38*g**2 + 38*g**2)*(-6 + 3 + 4).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.178 - 49.128. Let p = -0.6 + 0.68. Which is the second smallest value? (a) p (b) z (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 0 + -51 + 45?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/644094 and 1\/297?\nAnswer: 1932282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**4 - h**3 + h + 1. Let r(x) = 25*x**4 + 4*x**3 - 6*x**2 - 4*x - 4. Let p(i) = -4*q(i) - r(i). What is the third derivative of p(b) wrt b?\nAnswer: -696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679422?\nAnswer: 2, 3, 17, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 191621589.\nAnswer: 95810794.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Suppose c - 148 = -n*c. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -33, -18, -7, -4 in ascending order.\nAnswer: -33, -18, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 201 + 1685. What is the least common multiple of l and 22?\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 5*x - 7. Let i(k) = 2*k**2 - k - 2. Let a(b) = -b**2 + 2*b + 3. Let n(h) = -4*a(h) - 3*i(h). Determine -6*n(d) + 5*w(d).\nAnswer: 2*d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 147. Let y be j(33). Suppose -y = -3*i - 3*v, -4*v = -2 - 6. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfwqjwwwwfjuwfwwwj. Give prob of picking 2 w.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 1, e: 1, j: 2, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/5 + 89*b\/5 + 18 = 0. Calculate b.\nAnswer: -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -7.109, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3981.38 times 15\nAnswer: -59720.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1324530 - 20?\nAnswer: 1324510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 409*s**4 - 3769342*s**3\/3 + 964950016*s**2 + 1572864*s = 0.\nAnswer: -2\/1227, 0, 1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*m - 2754 - 4431 = -1493*m - 179*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1665286, 1665279, 1665260, 1665223, 1665162?\nAnswer: 1665071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 192 = 406. Let r be (-2 + 2)\/(1 - 3). What is the remainder when o is divided by 14 - (r\/4 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/2 + -18. Let m = 0.232 - 1.232. Sort h, -1\/4, m in increasing order.\nAnswer: m, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529070011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -1, -4.\nAnswer: -4, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - 26. Let t = m + 54. Which is smaller: t or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31932 is divided by 3511?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -831, -806, -781, -756?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (49266\/8)\/(66\/352)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -36?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*q - 10 wrt q?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-127)\/(-889))\/(643\/(-642) - -1) + 2. Which is greater: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3661 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/382 - -767\/1146. Let c be (0\/3)\/((-1)\/(-2)*6). Find b, given that -p*b**2 + c - 4\/3*b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -12. Let v = 15 + f. Solve -3*w - 5*o - v = -18, -2*w - 3*o + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*g = -122, g + g + 100 = 4*y. Let p = 48 - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2)\/(1 + -2). Let c(v) = 2*v + 1. Determine c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.43 + 51. Let w = 61.57 - m. Let o = -57 + w. Which is the closest to 1\/7? (a) -2\/15 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.130289 and -5.\nAnswer: -4.869711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68075099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507962.\nAnswer: 2, 7, 13, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51aa92 + -72?\nAnswer: 51aa20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -24. Let g = i + -25. Let s = 7 - g. Which is the biggest value? (a) 5 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*t - 120 = 205*t. Let x(i) be the first derivative of 4*i**3\/3 + 8. Let r(g) be the first derivative of -5*g**3\/3 + 2. Determine t*x(f) - 4*r(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-66) - (-1384)\/(-1903). Let j(r) = r**2 + 8*r + 6. Let c be j(-7). Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/2 - 73\/22. Let z = -0.1917 + -0.0083. Sort a, z, -0.3.\nAnswer: -0.3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 11 + 13)*(-2*d + 3*d - 4*d + (0 + 5 - 3)*(4*d - 5*d + 3*d)).\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145177 is divided by 29035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 67 - (473 - 498)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q**(8\/5)\/q)*q))\/q)\/q)\/(q**(-3\/16)\/q))\/(q**(-1\/8)\/q**(2\/13)) assuming q is positive.\nAnswer: q**(-971\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 not equal to -3\/12850342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 - (-3316)\/10. What is the units digit of f\/14 - (-8)\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b598 (base 16) in base 13?\nAnswer: -5c4708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 88*j + 41*j + 1 + 51*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = -5*u. Let w = -9.8 + -181.2. Let j = w - -190.82. What is the second biggest value in 1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 + 34467*n**4 - 133860504*n**3 + 182673088056*n**2 - 26951716936368*n + 26769177674352 = 0. What is n?\nAnswer: 1, 166, 3774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49086, 2, -3, 250 in decreasing order.\nAnswer: 49086, 250, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - m**2)*(-m + 3*m - 4*m)*(-31 - 9 + 17).\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/873 + 779\/41031. Which is bigger: r or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -292.69 and -444299471.\nAnswer: -444299763.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 83*c**2 - 357*c + 8392. Give l(86).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 67. Let g = -35 + y. Let j = -74 - g. Is j > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1 (b) -255.2 (c) 2\/7 (d) 229 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 - 19*x - 3. Let h be k(9). Let t = 7248 - 7244. Let s(z) = 4*z + 1. Let y be s(1). Put t, h, y in decreasing order.\nAnswer: y, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57355 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4600.7 + 4601. What is the smallest value in 151, 5, s, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345025*h**5 + 370*h + 113.\nAnswer: -6900500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18*(1 + -4). Let l(g) = g**3 - 3*g**2 - g + 4. Let r be l(3). Let m be -3*(-6)\/9 - r. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * -163.\nAnswer: 53.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 + -46.010880258?\nAnswer: 680.989119742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 22. Let t = -6 - k. Suppose 3*l + 20 = 4*j - l, 0 = 4*j + t*l - 60. Solve j = b - 4*p, -b + 9*p - 4*p = -12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/2)*l)**(-33)\/((l\/(l*(l**(-1\/24)\/l)\/l))\/l*l\/l**16) assuming l is positive.\nAnswer: l**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 61*s**3 + s**2 + 6*s**2.\nAnswer: -61*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 2*g. Let a be q(0). Solve 4 = b + b - v, a = -4*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8813*k**2 + 12*k + 64. Let p be y(-8). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9854*v + 19813*v - 9960*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.819829 rounded to 1 decimal place?\nAnswer: 95.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from yymymymammymymmyy.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:30 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 2.909?\nAnswer: 1.7454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46977400 divided by -5872175\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511642*j + 1386 = 1511565*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w - 1. Let f(x) = -x**3 + 15*x**2 - 4*x + 22. Let y(v) = -f(v) - 6*n(v). What is the units digit of y(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g. Let y(s) = -3*s**2 - 343*s. What is y(z(d))?\nAnswer: -192*d**2 + 2744*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19118537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335504218.\nAnswer: 2, 7, 23964587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b + 12. Let f be x(-8). Does 21 divide ((6\/3)\/f)\/((-8)\/1680)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1545614 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/487?\nAnswer: -3\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose 3*j + 2*z = -b*z + 2, -4*j = -3*z - 14. Suppose -3*y = j*y - 200. What is the greatest common factor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6191799*n + n**2 + 1 + 30*n**3 + 6191801*n as a*n**3 + q*n + o + p*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*o - 1238, 0 = 3*g - 2*o + 349 - 1281. Calculate the greatest common divisor of 130 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - -110110?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132794 - -663971\/5. Let f = -3.4 + 3. Which is the closest to -5? (a) z (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*d = -0*d + 45, -3*d - 5 = 2*b. Suppose -b*c + 2*a = -53, 9 = -2*a + 1. Solve -3*w = 5*g - 2*w - c, 4*w - 18 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/2, 0.4, 24\/5, -1\/24, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1119260, 2238055, 3356850, 4475645?\n\"Answer: 1118795*q + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/(k\/((k*k**(-2\/7)*k)\/k*k)))**(-2\/101) assuming k is positive.\nAnswer: k**(116\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -9 - (-2 - 2). Suppose 5*x + v*o = 329, 4*x + o - 333 = -x. Suppose 3*f = x + 65. What is the remainder when f is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2*-2*(-2)\/(-16)). Suppose 4*v = -w*r + 3*r + 79, 3*v = -5*r + 38. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {n: 3, t: 1, m: 1, s: 2, y: 10, c: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 4 (b) 1\/2 (c) 3 (d) -2\/7 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348125923.\nAnswer: 19, 127, 144271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.5+-0.0589\nAnswer: 1.4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/906, -12.17, -0.1 in increasing order.\nAnswer: -12.17, -0.1, -1\/906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390595895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 282391, -3, -8, -2 in decreasing order.\nAnswer: 282391, 2, -2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 5*z + 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 5*c**2 - 16*c - 11. Let x be t(-7). Let s be 1*0\/(15\/x). Solve -l - l - 6 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -10.3, 0.36, 0.4 in decreasing order.\nAnswer: 0.4, 0.36, 0.2, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y**2 + 2*y - 16. Let x(i) = 17*i**2 - i + 18. Let j(s) = 4*b(s) + 5*x(s). Differentiate j(r) wrt r.\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8099, 32827, 74035, 131723?\nAnswer: 205891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*z + 3*q - 9, -9 = -3*q. Suppose z = -4*w - w + 10. Solve -y + w*y + 6 = -2*r, 0 = -y - 3*r - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1312 + (5 - 11 - -3). Let h = t - 306. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*v + 12, 0 = -6*k + k - 2*v + 30. Suppose -k*d + 88 = -0*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*13\/((-4290)\/20).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 67138.\nAnswer: -1\/67138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a factor of 3316071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*3\/(-15))\/((-23916)\/(-328845))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)*(11206\/(-260) + 45).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 divided by -1?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129 is divided by 353?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-4) + 10 + 2\/6. Which is the smallest value? (a) p (b) 0.4 (c) 6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3811, -3820, -3843, -3886, -3955?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76488 rounded to 2 dps?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -7*j**3\/6 - 3*j**2 - 2238*j. Let g(o) = 2*o. What is k(g(u))?\nAnswer: -14*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:30 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + (14 - -3) + -13 - -18) + 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 605507293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 140 = -z + 139, -z + 2*b + 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r + 3 + 0 - 3 in the form g*r + p and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 581029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x*x)**(-10\/7)\/(x**4\/(x*x**14)) assuming x is positive.\nAnswer: x**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -157.29.\nAnswer: -78.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5179 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*n**4 - 6538342*n**3 - 18*n**2 - 9411*n - 192.\nAnswer: -2328*n - 39230052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bbxxsbbasabbbbx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -10. Let q = 285 - 283. Let r be 0 + 7\/((-14)\/(-8)). Solve q*c = r*c + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = d + 53 - 36, 65*y + 5 = 67*y + 5*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5129100 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*b - 69 + 69 to m*b + j and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298596 or 4?\nAnswer: 298596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) -6 (c) -2\/15 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*v**2\/3 - 55082*v\/3 + 1252.\nAnswer: -2*(v + 626)*(44*v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3808, -7614, -11420?\nAnswer: -15226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7427, 14765, 22103?\nAnswer: 29441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8280, 153, 14224, 33945, 59328, 90385, 127128?\nAnswer: 169569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 39. Let i be x(-19). Let d be i\/5 + (-11)\/((-495)\/(-81)). Which is the biggest value? (a) -25\/3 (b) d (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 0.5 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/3, 12\/13, 0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1229266 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1435 and 328?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -4*s + 52, 4*s - 48 = -t. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*o + 30, 5*o - 6*o = 0. Let a = i - 12. Let u be (-1)\/(-3) + 240002\/a. Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 11. Let c = 50 + -42. Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = -28*l - 4. Sort -34, l, 3 in descending order.\nAnswer: 3, l, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9*42\/(-28). Let g(c) = c**2 - c + 1. Let k(w) = 2*w**2 - 3*w + 2. Give n*k(d) - 3*g(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 12*j**4 + 3*j**3 - 42*j**2 - 60*j - 24 = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7*j + 10\/7*j**5 + 66\/7*j**3 + 40\/7*j**2 + 44\/7*j**4 + 0 = 0. What is j?\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*w**4 - 5*w**4 + 28*w**4)*(3 - 2 - 3) as o*w + m*w**4 + q + d*w**3 + f*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = 6*o - 88 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 0 (c) -0.1 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350075 is divided by 491.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 772 - 26326?\nAnswer: -25994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 25*f**2 + f**2 + 3.\nAnswer: -24*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2\/3*o**2 + 1\/9*o**3 + 0*o + 5. What is t in q(t) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 18*v + 5*v**4 - 3 - 3*v**2 + 82*v - 106*v + 2*v**3 - 2*v**4 as a*v + h + z*v**4 + y*v**2 + w*v**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11395487 = 178*u + 77*u + 611027. What are the prime factors of u?\nAnswer: 2, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 485\/7 - 69. Which is smaller: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636492*p - 680 = 636322*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/3133 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 48510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121891 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: Do -6 and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33209\/72 + -3717\/8. Let x = -2641\/144 + 214\/9. Find the common denominator of x and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:40 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -265, -409, -569, -751, -961?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195548596, 195548594, 195548592?\nAnswer: 195548590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u\/u**0)*u**(-4\/3)*u*(u\/(u\/(u\/(u\/u**0))))\/(u*u*u**(3\/7)*u*u) assuming u is positive.\nAnswer: u**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -473.3 + 475. Let y = -3.7 + n. Let v = 8 - 18. Put 5, y, v in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h + 1. Let p be y(-10). Suppose -3*b + p + 24 = 0. Let f(r) = -2*r**3 - 20*r**2 + 49*r + 24. What is the remainder when b is divided by f(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + (-2 - -3) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 - 30\/(-6))) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 47. Calculate the greatest common factor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 7)*(-28*j**4 - 21*j**4 + 12*j**4).\nAnswer: 222*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) 3 (c) -0.4 (d) -307.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - 3*b**2 + 0*b**2)*(1371*b - 1512*b - 1872*b)*(4*b - 2*b - b) to the form k*b**2 + u*b**4 + a*b + j + i*b**3 and give u.\nAnswer: 2013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -44, -94, -172, -284, -436?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 132 + 117 - 1139*c - 249 in the form y*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-52)\/13)*-10. Put 0.071, y, -0.5, -0.3 in decreasing order.\nAnswer: 0.071, -0.3, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 19*z**5\/20 - z**4\/12 - 2*z**3\/3 + 25*z**2. What is the tens digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (2 - 2 + 2)*(4 - 2 - 4) + 4 + 1 - 3 + 0 + 3 - 1 - 2 + 4 + 2)*(1 - 1 + 3 + (-3 + 0 + 2)*(-2 + 5 - 1) - 4 - 2 + 4)*(7*a - 68 + 68).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/2*6\/(-15)*2*(-5)\/(-150).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 9*z**2 - 18*z + 8. What is q(5)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*y + 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 2 + 539 + -541\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 + 9*(-36)\/(-405)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 79563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u + 70. Let v be s(-6). Let y = v + 238. Calculate the greatest common divisor of y and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/420*(-56)\/14?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -75, 42, 353, 924, 1821?\n\"Answer: 11*k**3 - 2*k**2 - 82*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 5. Suppose 0 = -3*r + 3*l + c*l + 227, 0 = -r - 4*l + 70. Calculate the remainder when r is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13124, -52344, -117702, -209192, -326808, -470544, -640394, -836352?\n\"Answer: r**3 - 13075*r**2 - 2*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 57481600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/(-3) + -3)*-3. Let a be (-4)\/u - ((-620)\/35 + 3). Solve -3*b = -a, -2*b - 21 = 3*y - 5*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13)\/((-169)\/3172)*4 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -195178809257?\nAnswer: -195178809272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*s, -2*d = 2*s - 124. Let a = d + -21. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-272)\/17 - 10\/2 - 0. What are the prime factors of (-1401)\/(-1) + b + 17?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**14\/s)\/s*s**(2\/27)*s)\/(s\/((s*s**(-13))\/s)*s*s*s\/(s**(1\/17)\/s)*s) assuming s is positive.\nAnswer: s**(-2693\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + 3*n - 2. Let x be k(-5). Suppose -4*q + 5*m = 59, -4*q = q - m + x. Let w = -7 - q. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 574 - 436. What is the lowest common multiple of 14 and a?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.8969 rounded to 1 dp?\nAnswer: 162.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/33 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-17)\/(-68)*2*(833 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 13*x - 125. Let s(d) = 5*d**2 + 20*d + 124. Determine 4*h(r) + 3*s(r).\nAnswer: -r**2 + 8*r - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155862464 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*o**3 - 8 + 2 + 12 - 6.\nAnswer: -161*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4600672 and -0.131.\nAnswer: -4600672.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzxzxxx. Give prob of sequence zz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*h + 22 - 83 = 0, -3*h + 15 = 0. Let u = d - -25. Suppose u*p = g - 49, -48 = -g + p - 0*p. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(462\/24) - 10\/(-7). What is the first derivative of -76*g**u + 40*g**3 - 80*g**2 + 156*g**2 + 9 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.672654 + -0.38717. Let w = b - -2.06. Round w to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = 3*g. Solve 0 = -4*h - 8, -4*h + g = -u - 6*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(3*y**3 + 4*y**3 - 3*y**3) - 5*y**3 + 2*y**3 + 26*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 90. Suppose -2*f - 2*i = 70, 135 = -6*f + 2*f - 3*i. Let s be b(f). Solve 2*k - 6*k + 20 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 3*h, -3 - 5 = d + 3*h. Let z(r) = r + 5. Let a be z(d). Solve a = 3*o + 3*f - 2*f + 4, 3*o - 4*f - 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-17) - (-1254)\/(-323).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(2 + (-747)\/(-72) + -12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4491404 is divided by 119?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -62. Let q be c\/25 + ((-500018)\/5 - -3). What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 1116\nAnswer: -7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n**3 + 105*n**2 - 30*n - 4. Let t(g) = -5*g**3 + 31*g**2 - 10*g - 1. Let x(q) = -2*s(q) + 7*t(q). Calculate x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86205.405 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**3\/2 + 2*z**2 + 21*z - 2. Suppose w - 44 = -46. Let t(j) = 4*j + 5. Give w*t(b) + 3*h(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6*l + 19*l - 14*l - 2.\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f*f\/(f\/(f\/(f*(f\/f**(1\/19))\/f)))*(f**(-31)\/f)\/f)\/((f\/(f*f\/(f\/f**(-35)))*f)\/(f**21\/f)) assuming f is positive.\nAnswer: f**(-854\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1.3, -2\/11, -40.8, 10\/3, 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 17. Suppose 4*r = -j + 23, -j + 1 = -4*r + 18. Suppose 3*q - 8*d = -j*d - 23, 3 = 3*d. Calculate f(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49638 is divided by 16359.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*g + 4*b, -b = 3*g - 4*b + 12. Let y(d) be the third derivative of 1\/24*d**4 + 0 + g*d - 2*d**2 + 1\/6*d**3. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-484))\/(35\/77)*(-40)\/(-18)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 1. Let w(u) = -u**2 - 2. Let t be w(2). Let r(s) = 7*s + 4. Let z(i) = t*r(i) - 22*v(i). What is the derivative of z(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 - 21*x**3 - 5*x**3 + (x**2 + 2*x**2 - 2*x**2)*(-3*x - x + x) - 3*x**3 + 12*x**3 + 0*x**3.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1742 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 16*i + 26. Is 22 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -562, -2385, -5440, -9727, -15246, -21997?\n\"Answer: -616*l**2 + 25*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 91 = -7*r. Find the common denominator of -14 - r - (-22)\/(-4) and 15\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + 3\/9. Let h(n) = n**3 - 244*n**2 + 735*n - 2897. Let u be h(241). Sort j, u, -9, 3.\nAnswer: -9, u, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172134641.\nAnswer: 7, 24590663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -5*w - 24. Let r = -14 + 36. Calculate the remainder when r is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 56*t**2 + 5*t + 54. Let i be x(13). List the prime factors of i\/10 + 33\/(-110).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12360 + -7276. Let y = f + -11174. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by 2?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*m = 34, 1131*c - 1135*c + 2*m = 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -34352 in increasing order.\nAnswer: -34352, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 270, 356, 442, 528?\n\"Answer: 86*d + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-6*sqrt(100)).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1\/7 (c) 139.694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1634.285 - 345.148. Let p = -1289.5070034 + i. Let h = p - -0.37. What is h rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/27 or 266?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2548\/(-441))\/(2\/(-9)). Find the second derivative of -12*c + d*c**5 - 26196 + 26196 wrt c.\nAnswer: 520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-11)\/(11\/2) - -2. Let m be 5 + g - (5 + -9). Which is bigger: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 - 15120*i**3 - 28861914*i**2 - 1075029196*i = 0.\nAnswer: -3761, -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3*f**4\/4 - 8*f**3 - 39*f**2\/2 - 18*f + 60. Determine r so that v(r) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -95. Solve u = -2*k + 4*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 27 - 33 = 0. Let h(r) be the first derivative of r**4\/4 - 2*r**3\/3 - 3*r**2\/2 - 1. Let i be h(m). Solve i = -2*j - 0*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 629276 * 4\nAnswer: 2517104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 779?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112.3 + 103.3. Let r = -15 + 1. Let g = y - r. Which is the third smallest value? (a) -1 (b) -5 (c) g (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*40\/9120*96\/(-18).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102482620 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*w + w - 30*w as x + s*w and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35514*l + 368 = 35525*l + 137 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 38 + (60 - 13).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330805470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -682 - -678.97. Let g = -3.89 + 3.86. Let o = m - g. What is the closest to -1 in 1\/4, o, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(143)*-3 - (1*(sqrt(143) + sqrt(143)*-1 + sqrt(143)) + sqrt(143))))\/(-2*(sqrt(396) - (sqrt(396) - 4*(sqrt(396) + -3*sqrt(396))))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19667?\nAnswer: 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30209.21506 rounded to the nearest 100?\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -10. Suppose p*c + 2 = 22. Let 0 - 8\/5*o**2 + 8\/5*o**4 - 2\/5*o**c - 6\/5*o**3 + 8\/5*o = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101979 and 157375.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53395300 rounded to the nearest 100000?\nAnswer: -53400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 329, 744, 1325?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -308*k**2. Let y(v) = -v + 2. Determine y(g(t)).\nAnswer: 308*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4\/5 - 43*f**3\/5 + 134*f**2\/5 - 19*f = 0. What is f?\nAnswer: 0, 1, 19\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10880758 divided by -5440379\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12123*h + 1260797. Give v(-104).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)**50)**(3\/44) assuming f is positive.\nAnswer: f**(75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -134740 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 39793*m**2 - 118887391*m + 92449982415.\nAnswer: -(m - 36615)*(m - 1589)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = -955 + 985 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1391, -11451, -38755, -91925, -179583?\nAnswer: -310351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18554, -37136, -55718, -74300?\n\"Answer: -18582*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 144\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22527*b + 112628. What is z(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12 + (-1 - -951) + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*a**6*t**3 - 20*a**4 - a**2*t - 420*a*t - 2*t**3 wrt a.\nAnswer: -8280*a**3*t**3 - 480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14755 divided by -1135\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - g**2 + 0*g**2)*((3*g + 2*g - 4*g)*(2 - 1 - 3) + 1 - 51*g + 54*g + 1) in the form n*g**3 + m*g + i*g**2 + x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26660*s + 59331*s - 32667*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2320*k - 2322*k - 64 + 4646*k)*(-2*k - k**2 + 2*k) to x*k**3 + j + u*k + s*k**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:53 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 865, 865, 863, 859, 853, 845?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2098 + 2097. Let x = -0.073 + 3.083. Let t = -0.01 + x. What is the nearest to f in t, -1\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*b - 38, 3*b + 12 = -b. Let q(a) = -a**3 + 6*a**2 - 4*a - 1. Let d = 16 + -11. What is the remainder when j is divided by q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 r, and 1 w when four letters picked without replacement from {t: 3, r: 4, w: 1, z: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341868901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 14, y: 4}. What is prob of picking 4 l?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o. Let h = -4 + 10. Suppose 4 = 4*m - 20. Let c(b) = -m*b + b**2 + h*b. Give i(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k - 3. Let g be j(1). Let d be (-7)\/(-21)*(-9 - 0)*g. Suppose -6*w - 2 = 4. Put w, d, 5 in ascending order.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7178 or -7245?\nAnswer: -7245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 40 = -7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4315005 (base 7) to base 2\nAnswer: -10000000001101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647866570 to the nearest one hundred thousand.\nAnswer: 1647900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16865948 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6)*40\/(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (10 - (11 + -2)) - 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5315155*t**2 + 5315166*t**2 - 10630279*t**2.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Let r be 3\/(-6)*(-38 + c). Solve -3*i - 4*j = r, 3*j + 13 = -2*i - 0*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66946300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 159677.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1943 - -2881. List the prime factors of w.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**6\/10 - x**5\/30 + x**3\/6 - 19*x**2 - 38*x. Let m(l) be the first derivative of u(l). Determine m(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 32. Suppose -f + 17 = i. Let n(d) = -1 - 3 + d + 4*d + 2*d**2 - d**2. What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57\/8*y**3 - 105\/4*y**4 + 3 + 93\/4*y**2 - 75\/8*y**5 + 33\/2*y = 0 for y.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 8. Let k be r(6). Let m be -6 + (-54)\/((-36)\/6). Suppose m*s = 3*g - 6, 2*s = -4*g - g + 24. Solve k*x = -s*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 267 - 268. Let o be -1 + (-1)\/p - (-36)\/126. Is o at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlppvlulpor. What is prob of sequence vvpr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n - 1\/4*n**4 - n**2 + 0 - 1\/20*n**5 - 2\/3*n**3. Let s be t(-2). Solve s*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47898863.\nAnswer: 47898863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqnnqdd. Give prob of picking 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1148.2 + 1846429.8.\nAnswer: 1847578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28782, 57572, 86362?\n\"Answer: 28790*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 + -4.14. Suppose 0 = 2*z - 2*n - 18, 2*z - 3 = -n + 3. Which is the second biggest value? (a) z (b) 2\/15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - x. Let o be -4 + 35 + x + -4. Let u = o + -25. Calculate the least common multiple of 3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 0*m - 2*m + (-5*m - 3*m + 13*m)*(5 - 3 + 0) - 3*m + 2*m - 4*m - 139 + 139 + 7*m to g*m + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:45 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -15.4?\nAnswer: -15.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**3 - 24*c**2 - 197*c + 355613 with respect to c.\nAnswer: 15*c**2 - 48*c - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49125, 49128, 49127, 49116, 49089, 49040, 48963?\nAnswer: 48852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 172356. Let f be (-2)\/((-88)\/s) + 0. Let m = 1308 - f. Find the common denominator of -69\/4 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -68666915 and 0.03.\nAnswer: -68666914.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -696252*x**3 - 696284*x**2 + 1392472*x + 64 = 0.\nAnswer: -2, -8\/174063, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/1786*(-88)\/110?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171))\/sqrt(9) + sqrt(57)\/(1*sqrt(3) + sqrt(3)))*1.\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3 - z**2 - 1 + 8*z**2. Let d(h) = 3*h**2 - 2. Let p = -32 + 34. Suppose l - 5 = 5*v + 2, 0 = 3*v - p*l. Calculate v*j(s) + 5*d(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/9 + 39091*v**2\/3 + 78178*v\/3 - 938168\/9 = 0. What is v?\nAnswer: -117271, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 14) in base 3?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1938 and 5\/332766.\nAnswer: 5657022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13032, -33576, -54120, -74664, -95208?\n\"Answer: -20544*g + 7512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 360 = 0. Suppose 2*m + 6 = 4*m. Suppose m*c - a = -2*c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u - 53*u - 85*u + (-u + 2*u + u)*(1 - 1 - 1) + 1 + 4*u - 1)*(u + 0 - 1 - 3*u).\nAnswer: 236*u**2 + 118*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.7, 1\/7, -0.2, -52?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -789 - -535. Let d = -160 - q. What is the remainder when d is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 59. Let f = d + -27. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561718411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w. Let a = 17 - 16. Let c be o(a). Solve c = -5*n + 13 + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 631571727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 49 + 62. List the prime factors of -4*(-3)\/3 + y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 15}. Give prob of sequence ppp.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2 - (3 - 8)). Let h(j) be the first derivative of m*j**3 + 0*j**4 + 2 + 4\/5*j**5 + 0*j**2 + 9*j. What is the derivative of h(q) wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 660, 2596, 5810, 10290, 16024?\n\"Answer: -2*n**3 + 651*n**2 - 3*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6513531750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -0.008307.\nAnswer: -47.008307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -7*z + 66, z + 11373 = -2*z + 11397 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 943 and 23493?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 972*o**3*t - o**2*t**2 + 4*o**2*t - 3*o**2 - 775*o*t - 835*t**2 wrt o.\nAnswer: 5832*o*t - 2*t**2 + 8*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-168)*(-105)\/(-21)*4\/(-5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1.6, -9, -13, -0.5 in increasing order.\nAnswer: -32, -13, -9, -0.5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10867271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(-6*-2*((sqrt(2299) - (2 + sqrt(2299))) + sqrt(2299) + sqrt(2299)) + -3)**2.\nAnswer: -13249530 + 142560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 1 + (-3 - (11 - 19)) + (-58 - -47)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j + 72. Let n(y) = -21*y - 216. Give 3*n(p) + 8*u(p).\nAnswer: -7*p - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-21)*(-5 - -6). Let h(p) be the first derivative of 11 + 1\/21*p**3 + w*p**2 - 1\/7*p. Suppose h(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*j + 3 = 0, 10*p = 4*j + 37348 - 37240 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 66\/5, -0.2, -10, 3, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 23*b + 20. Let a(y) = 8*y + 7. Let x(t) = -17*a(t) + 6*r(t). Let v be 2 - -12 - ((-2)\/(-4))\/((-288)\/(-4032)). Determine x(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424522898?\nAnswer: 2, 53, 4004933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, s: 1, z: 1, g: 1, d: 2}. What is prob of sequence gz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3 (base 15) to base 3.\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/2*5\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451500 and 180729?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2101 (base 4) to base 11\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 53 + p - 26 - 26 + 2*p**2. Let d(f) = -f**2 - 5*f + 2. Let l be d(-5). Suppose 2*h + 4 = -l*h. What is j(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.432917899 plus 88?\nAnswer: 80.567082101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 6 = 6*k. Let q be (0 - 2) + k + 64. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqgqgqqqgqqq. What is prob of picking 1 q and 2 g?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178\/15 - 3394\/285. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4888 - -0.5. What is k rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28177378, 28177377, 28177376, 28177375, 28177374, 28177373?\n\"Answer: -b + 28177379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -756 * -205\nAnswer: 154980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105649732.\nAnswer: 2, 2381, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 184, -5, 2, -376 in ascending order.\nAnswer: -376, -5, -2, -1, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2515331, -2515425, -2515519?\nAnswer: -2515613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -642 (b) 4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + -5 + (-3 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 5*v + 4. Let i be n(1). Calculate the remainder when 92 is divided by i*12*(2\/2 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -5*g**4\/8 + 30*g**3 + 66*g**2. Let l be w(0). What is the greatest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 30*q. Let b be x(15). Suppose -3*t - 5*v = -15, -t - v + 0 + 5 = b. Solve 4*z = -3*r - 14, 2*r + 17 = -2*r - t*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5161503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - 7) + -631 + 650.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 6*h + 65. Suppose 4*g = -3*d + 24, -3*g + h = 4*d - 5. Solve l + 20 = g*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -1, 1\/11.\nAnswer: -1, 1\/11, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*b**3 - 157509*b**2 + 70888535*b?\nAnswer: -714*b - 315018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from oodzzdzz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 6*s - 7. Let h(c) = c**2. Suppose 3 = 3*i - 9. Let b(g) = i*h(g) - w(g). What is b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/154200 and 31\/516570.\nAnswer: 10331400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o + 5 = -61*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -g + 24. Let a(f) = 46*f**3 - 10*f**2 + 132. Let k(d) = -d**2 + 1. Let s(j) = g*a(j) - 20*k(j). Differentiate s(m) wrt m.\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2050035 (base 6) to base 5.\nAnswer: -11143230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let h(q) = -7. Determine -2*h(j) + 2*l(j).\nAnswer: -2*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137 or -686\/5?\nAnswer: -686\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 0.68 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975843 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -811061 divided by 1.\nAnswer: -811061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 less than 147546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.999858 + 72. Round k to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3414 + 3*h - 3414 + 2*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 272140866 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 1161 = 104*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 309769, 309497, 309227, 308959, 308693, 308429?\n\"Answer: w**2 - 275*w + 310043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1, 0.4, -21 in descending order.\nAnswer: 0.4, 2\/11, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -u + 18, 3*u + 14 = s + 4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -54863347211872.\nAnswer: -54863347211877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**2 + 9 - 9 + 45*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:44 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2049795, -4099619, -6149443, -8199267, -10249091, -12298915?\nAnswer: -14348739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:17 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100230 (base 4) to base 5\nAnswer: -13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + -416. Let x = -429.9999867 - f. Round x to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2501773, -2501770, -2501767, -2501764, -2501761?\n\"Answer: 3*f - 2501776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21707 or -21973?\nAnswer: -21707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000285 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 6*u - 3. Let f be v(7). Suppose -3*p - q + f*q + 78 = 0, p - 4*q = 29. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 58 - 283*f + 558*f - 284*f. Let t(o) = -o + 1. Let h(d) = -p(d) + 4*t(d). Differentiate h(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.89 + 0.59. Sort -4, 0.5, a, -2\/15 in descending order.\nAnswer: 0.5, -2\/15, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 + 574\/(-286)). Let w = 67 - n. Let x = -1892\/9 + w. Which is the nearest to 1\/3? (a) 0 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + 2*n - 10. Let t be m(5). Suppose -3*i - 44 + 41 = t. Let d be i + 81\/4 + 6\/8. Calculate the greatest common divisor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10819 and 1033917735?\nAnswer: 10819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.95 from -0.96757.\nAnswer: 0.98243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(19 - 19 - 15*c)*(4 - 4 + 13) + 0 - 2*c + 0 + 2*c - 6*c + 2 + 3*c.\nAnswer: -198*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12456*k**2 + 1282964*k - 412.\nAnswer: 4*(k + 103)*(3114*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 234567*x**3 - 7839*x. Let q(b) = 1076*b**3 - 36*b. Calculate 871*q(g) - 4*u(g).\nAnswer: -1072*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Suppose 5*a + l*b - 30 = 0, -b + 9 = 2*a - 2*b. Solve d + 5*n + 17 = 0, 2*n + n + 19 = -a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 422, -1, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -4*f - 310, 0 = 4*h - 4*f - 640. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/7 + 171819*g\/7 - 859120\/7 = 0.\nAnswer: -171824, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.893 - 0.855. Let q = 9 - d. Let t = 0.038077 + q. Round t to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 14. Suppose 5*f - 15 - 25 = 0. Suppose -f = -2*x + 10. Let v be b(x). Solve 7 = p + 3*q, 0 - 15 = -v*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 11, -4, -39, -100, -193?\n\"Answer: -l**3 - l**2 + 9*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:26 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 299*h**3 + h**5 + 86*h**4 - 299*h**3 + 3*h**5 + h**5 - 2*h**5 + 3*h**2 - 2*h**5 - 3*h**2 + (3*h**4 + 0*h**4 - 5*h**4)*(5*h - 2*h - h).\nAnswer: -3*h**5 + 86*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 - 8*i - 4. Let v be d(-7). Suppose g + v*w = 0, -g + w = 2*g. What are the prime factors of (g - -20)*(-5)\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*((-d + 0 + 0)*(5*d**2 - d**2 - 3*d**2) + 0*d**3 - d**3 - 6*d**3) - 2*d + 2*d**4 + 2*d.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.44 - 19.14. Put 2, r, -2\/11, -2\/7 in decreasing order.\nAnswer: 2, r, -2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by -148\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57277885 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkn when three letters picked without replacement from nnakakaaa.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k*o**4 - 6*k*o**2 - 94*k - o**2 + o wrt o?\nAnswer: -36*k*o**2 - 12*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(4))\/sqrt(4) + (1*sqrt(108) - sqrt(108)))*-4 + 2)**2.\nAnswer: -16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by ((-36)\/(-2))\/((-42)\/(-189)*(-36)\/(-28))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -33*i**2 + 236*i - 41. Calculate x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtdtttttdttt. Give prob of sequence dttt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 336 = 96 - 144 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 723, 1543, 2363?\n\"Answer: 820*v - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l. Let q be 568\/20 - (-4)\/(-10). Suppose -1 = -0*p - 4*p + 3*u, -2*p - 4*u + q = 0. Solve l = z - 2*y - 2*y + 20, -5*z = p*y + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199684.1069 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:51 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*y = -11, -3*g = 2*g - 5*y - 25. Let q = -2 + 8. Suppose -30 = -5*k - 5*z, 5*z - g*z - q = 3*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-9)\/(-12))\/((-66)\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpfeyfeyzepp. What is prob of picking 1 z and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440*g**3 + 2*g**2 - g**2 + 3*g**2 - 4*g**2 - 4687*g**3.\nAnswer: -6127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 9 + (4 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-7)\/(-4) + -1)\/((-222)\/(-1480)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0\/(-1) - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11679884 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 4*y**2 + 7313*y + 29247. Give u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 1. Let r be (-1)\/(-5) + 48\/60. Determine t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2. Suppose -5*t = -t - 16. Let m(z) = 3*z + z - t*z - 6*z. Give c(m(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -109. Let t = -1039 + 1033. Let s(j) = -j**2 + 5. Let y(m) be the first derivative of -m**3\/3 + 3*m + 4. Give i*y(c) + t*s(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/108*-3)\/((-56)\/48). Let q = 4.4 - 4. Which is the third biggest value? (a) q (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (-2 + (sqrt(475)*-1 - sqrt(475) - sqrt(475)))) + -1 + 4)**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -868, -6, -92, 3, -3.\nAnswer: -868, -92, -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*q - 13 = 2*t, -5*t + 2*q - 13 = 0. Suppose 1346 + 362 = -7*j. Let l = -5857\/24 - j. What is the third biggest value in t, -2\/3, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/223607?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 705607587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -18*c - 1210. Calculate o(-85).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -17. Let q = -145555\/6 + 24195. Let g = q - -2827\/42. Is g greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - t**2 + 12*t + 93. What is q(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318553786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 - 187*s - 534. Give j(-3).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y + 7. Let k be j(0). Suppose -k = -4*g + 5. Calculate the least common multiple of 3*(-1 + 2)\/1 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205873, -823470, -1852775, -3293770, -5146437?\n\"Answer: 3*y**3 - 205872*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4448 and 2363.\nAnswer: 75616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 885, 886, 887?\n\"Answer: z + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -29.98. Let x = 0.02 + k. What is the biggest value in 0.1, 0.5, -3, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 14*y**2 + 24*y + 6. Give w(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o + 57. Let x be w(12). Let h(z) = -163*z - 249 + x. Let g(j) = -j. Calculate g(h(u)).\nAnswer: 163*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4753 and -209\/85260.\nAnswer: 8270220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - m - 11 = 0, -4*m + 2*m - 12 = 5*w. Let r be w\/(-4)*(-1 + 3). Suppose -2*i - r = -9. Solve 0 = 3*f - 11 - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-53 + 3). Factor 97*b + 58*b**3 - p*b**2 + 45 + 8*b - 52*b**3 - 131*b**3.\nAnswer: -5*(b - 1)*(5*b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*g = 35, -3*c = 8*g - 7*g - 5. Solve c*f - 2*i + 14 = 0, 0*f + 2*i = -2*f - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1755 and 133614765.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/45 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-2))\/((-28)\/(12\/6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*f + 8. Suppose 2*i = -4*w + 910, -5*i = -w + f*w - 467. Suppose -3*j + 481 = -2*l - w, -4*l = 4*j - 976. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-84)\/(-60) + 2\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 15 - 36 + 5 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959.7606 litres to millilitres.\nAnswer: 959760.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13\/26)\/((-9)\/(-6)). Let q(r) be the second derivative of 0*r**2 - r - n*r**3 + 0. Determine q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2343597 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*z**3 + 25*z**2 + 8565.\nAnswer: -90*z**2 + 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -22*v**5\/5 + 297*v**2\/2 + 28. Find the second derivative of u(a) wrt a.\nAnswer: -264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 3 + 5*s**3 - 6*s - 1 + 9*s - 7*s - 14*s**3 as m*s**2 + z*s + c + k*s**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*p + 107*p + 125*p - p + 2*p + 0*p + (-5*p + p + 2*p)*(0 - 3 + 1) - 3*p + 5*p - p + 2*p + 7*p - 2*p)*(-6*p**4 + 0*p**4 + 4*p**4).\nAnswer: -142*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 3*k + 24. Let l = 35 + -41. Let a be w(l). Suppose -6*v + 2*v + 12 = 0. Solve v*b + a = -3*g, b - 3 = 3*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -5) + 5 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 6. Let g be c(6). Suppose 65 = 5*t - g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 - 9 - -7) - -8 - (61 + -15)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 + 6*k**2 + 6*k - 9. Let v(u) = -u**3 - u**2 - u + 1. Let d be (33 - 35) + 4*-1. Give d*v(c) - n(c).\nAnswer: -2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*j + 92*j - 47282 = 45*j + 117*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*m + 2*p, -3 = -40*p + 37*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 14*p + 19. Let k be z(8). Suppose 0*l - l = -k. Suppose -l*h + 415 = 5*d, -4*d + 2*h + 150 = -2*d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 12*i - 8*i + 661, -3*f - 4*i + 403 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:49 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) - (-60)\/(-150). Is ((-30196)\/6)\/h - (-7)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let u = -165 - -167. Let j(d) be the second derivative of 0*d**u + 1\/3*d**3 + 0 + d. What is t(j(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(2*y - 2 + 2) - 2*y + y - 2*y + 18 - 2*y - 10 - 11 as o + f*y and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.446 + -0.584. Round c to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12343475 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1253 + 2101. Let u = 879 - i. Calculate the greatest common factor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 30*o**2 + 7*o**2)*(-4*o**2 + 2*o**3 + 3 - 3 + (3 - o**3 - 3)*(6 - 2 - 7)).\nAnswer: 180*o**5 - 144*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 7. Let v be ((-17)\/(-1) + p)*17. Suppose v = 2*o + 3*o. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, 4*q = -2*p - 1 + 5. Let b be (-9860)\/(-32) + 2\/(-16). Is (q\/4*-29)\/((-7)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 283096110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -4 + -4 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfffffffffxffffx. What is prob of sequence xfff?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 6*y + 472. Give z(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c**3 - 9*c**2 + 9*c - 20. Let u(b) = 3*b**3 + 2*b**2 - 2*b + 5. Let l(i) = -2*t(i) - 9*u(i). Suppose -240*z = -2*z. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -711, -785, -877, -981, -1091, -1201?\n\"Answer: t**3 - 15*t**2 - 36*t - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.05949 to 0 decimal places.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 172 - 159?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31404114 - -130?\nAnswer: 31404244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*n = 214*n - 50 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 74 - (28 - -164) - -223\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44286 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*r - 7692 + 3342 = 17986 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -8)\/((-21)\/618*-6) + (-21 - -8).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 576977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:49 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from depepeeeeed?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-18))\/(602\/(-774)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -874847, -874849, -874851, -874853, -874855, -874857?\nAnswer: -874859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(126)\/sqrt(3))\/sqrt(6) + -2 - (sqrt(112) + 1 + 2)) + 0))**2.\nAnswer: 1080*sqrt(7) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 - -10 - -2) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*x - 3 - 1, 2*r - 13 = -5*x. Suppose 4 + x = 5*c. Suppose -y + c = 3*h - 1, -4*y - 5*h + 29 = 0. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15417 is divided by 655?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12922746.3 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/2 - 13*v**3\/3 - 43*v**2\/2 - 9*v + 48. Let a be w(-7). Calculate the greatest common divisor of a and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/7, -8\/3, 174, 0.2, 43?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835817911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u. Suppose 2*o = c - u*o - 19, 4*c = -3*o + 21. Calculate the smallest common multiple of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -55\/496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 137. Let p = h + -82. Let f(b) = -1939 - p*b + 1939. Let s(y) = -18*y. Calculate f(s(u)).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.69456 to one decimal place.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 875 = -5*s, 54 - 427 = -2*s - 5*w. What is the highest common divisor of 126 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*6\/9135*(-14)\/2\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*2*15. Let a be (7\/(-42)*-20)\/((-2)\/(-24)). What is the greatest common factor of o and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:34 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 21 = 2*a, 3*a = 4*o + 7. Let b(g) = 2 + 4 - 6*g - 4. Let m(k) = -24*k + 9. Determine o*m(v) - 9*b(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238937, -238924, -238911, -238904, -238909, -238932?\n\"Answer: -p**3 + 6*p**2 + 2*p - 238944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 - 88*w + 8. Let z(l) = 6*l**2 + 88*l - 7. Determine -4*h(f) - 5*z(f).\nAnswer: -2*f**2 - 88*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 41*z**2 - 351*z + 13. What is p(10)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from oohonhxyhooooynxoon?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1825\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001431 to five decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-96.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -15.5. Let d = q + 13.1. Let x = -3\/37 + 132\/259. What is the closest to 1 in x, -1, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.1.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 48 = 7*v. Let k(f) = -17*f + 15. Let p be k(v). Let d = p + 89. Solve 3*o + 5*r + 13 = -7, 14 = -d*o - 4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.69826 + 0.7. What is v rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -2, 1\/6 in decreasing order.\nAnswer: 4, 0.5, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 divided by 5176?\nAnswer: 1107\/5176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 36. Let p = 20 - k. Solve -r = -p*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 645 - 569. Solve -2*g**2 + 7 - 31*g + 29 + 7*g + n - 28*g = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630014543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/35*15\/(-6). Let t be (-21 + -1)\/(x + 5). Is -11 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4241138, -4241141, -4241144, -4241147, -4241150?\n\"Answer: -3*j - 4241135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 41871858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 39510*h**2 - 197498406*h + 23322384338.\nAnswer: -2*(h - 9817)**2*(h - 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/3 + 19105*o\/3 + 305936\/3 = 0?\nAnswer: -16, 19121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 10*a**3 + 44*a + 104*a + 14*a**3 + 35*a.\nAnswer: 2*a**3 + 183*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at most 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 3 + 3 + 1 - 3 + (-1 + 0 + 0)*(-1 + 4 - 4) + 0 - 2 + 4 - 1 - 2 + 5)*(r**3 + r**3 + r**3).\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65762, -65771, -65782, -65795, -65810, -65827, -65846?\nAnswer: -65867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1359998*d + 10. Let u(x) = -6*x - 1. Let p be u(-1). Let w be r(p). What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68, -92, -130, -188, -272, -388, -542, -740?\n\"Answer: -j**3 - j**2 - 14*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fafm when four letters picked without replacement from fqgyqmgamqgf?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/42 + 5*n**6\/12 + 2*n**5 - 25*n**4\/12 - 125*n**3\/6 - 29*n**2. Factor p(c).\nAnswer: 5*(c - 1)*(c + 1)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -7 + -15 + 17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*w + l, -w = 3*w - 5*l - 74. What is the remainder when (-16)\/w - (1 - 24) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436 + 484. Let u(f) = -f**3 + 4*f**2 + 4*f - 1. Let n be u(4). Suppose -2 = -p + n. What is the remainder when s is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s + 131. Let w be (-116)\/(-2) - ((-2)\/(-1) + 3). Let o = s + w. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -812.32 + 704.087. Let o = -1.467 + a. What is o rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671580 <= 1671663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 3*p. Let b(l) = -9*l**2 - 5*l. Suppose 119*c - 104*c - 45 = 0. Calculate c*b(s) + 5*w(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 20.8. Let w = z + 11. Let o = -0.2 + w. Is 0 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + -10 - -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -6 (b) -2\/5 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 84 - (4 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 + 2*d**2)*(4*d - 4*d + 3*d)*(2 - 2 + 2)*(-6*d**2 + 0*d**2 - 5*d**2).\nAnswer: -66*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1 - 2*p + 2 - p + 2*p. Suppose -2*g + 10 = 4*h, -h + 2*h + 20 = 4*g. Let b be y(h). Solve 3*t - b = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 2*d - 3, 4*w + 5*d + 13 = 0. Let n = 20 - w. What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwfwwfwfwww. Give prob of picking 2 w.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-28)*o)\/o)**11\/(((o**(3\/2)*o*o)\/o)\/o*o*o**(6\/31)) assuming o is positive.\nAnswer: o**(-19263\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 630\/80*1232\/396\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 419842 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 36. Suppose -1 = 5*c - 3*f - o, 3*c - 3*f - 9 = 0. Solve 2*v - 29 = 7*v + 2*a, c = -a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556 = 2059*g - 749*g + 57886 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(539))**2 + 2*sqrt(11)*-4.\nAnswer: -8*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 266?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -66. 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: Let s = 42 - -68. Suppose j - 2 = -j, 2*j = -3*d - 4. Let h be ((-216)\/s - d)*-5. Which is the third biggest value? (a) h (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19214754343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l**3 - l**2 + 192*l + 11. Let b(z) = -9*z**3 - z**2 + 98*z + 6. Calculate -7*b(r) + 4*f(r).\nAnswer: -r**3 + 3*r**2 + 82*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 15) to base 11.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 10) to base 11.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10670*j - 21342*j + 10695*j.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4*i + 3. Let z be b(-3). Let o = -108 - -84. Let h be o\/(-11) - z - 2. Is h less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 14, j: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/520 + (-2 - 521\/40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17)*1*3 + sqrt(17) + (sqrt(170)*2*-2)\/sqrt(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2563*g + 207594. What is r(81)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + 5*sqrt(7) + -3.\nAnswer: -6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (4 + sqrt(176) + 1 + sqrt(176)))*1 + (5 + sqrt(176)*-2)*-1)**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.342 and -0.0325.\nAnswer: -0.3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 50*x**3 - 9*x**2 - 9. Let c(d) = 25*d**3 - 4*d**2 - 4. What is -9*c(a) + 4*h(a)?\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -69 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 - 7 - (1 + -20 + 11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(448) - sqrt(448))*-5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 2. Let i(m) = 2*m - 2. Let s(b) = -a(b) + i(b). Let c(d) = 3*d - 2 + 5*d + 6 + 4. Determine c(s(y)).\nAnswer: 8*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.28*-0.267.\nAnswer: -0.34176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21*y\/(y*y**25))\/((y*y**(-1)\/y)\/y**27) assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879.8156 tonnes to kilograms.\nAnswer: 879815.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - 10011?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.857 + -2.157. Sort -2, -0.1, u, -4, -50 in descending order.\nAnswer: -0.1, u, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-120)\/200)\/((-9)\/12378). Let c = -822 + a. What is g in -1\/10*g**3 - g**2 - 16\/5 - c*g = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 475604*p\/5 + 13790834\/5.\nAnswer: 2*(p - 237773)*(p - 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 318 and -75793.\nAnswer: -75475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4 + (-2)\/4. Suppose 2*x - 19 - 14 = 3*v, -4*v - 36 = -n*x. What is the smallest common multiple of 28 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, 0.0292927, -1\/5?\nAnswer: 0.0292927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 13 - 2526*c + 2513*c + 214*c**2 - 213*c**2 + 8 - 1.\nAnswer: c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 9*k + 5 = m, k = -2*m - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m**2 - 285874*m + 285874*m.\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6842163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*q - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 + 319*s**2 - 2*s. Let n(t) = -5*t**3 - 321*t**2 + 3*t. Give 3*d(q) + 2*n(q).\nAnswer: -q**3 + 315*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r - 50. Suppose -9*a + 32 + 13 = 0. Let h(g) = -20*g + 75. Let l(k) = a*h(k) + 8*t(k). Is l(11) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 3162053.8.\nAnswer: -3162053.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + -5 - 5501)*5\/(-5).\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11993316 to the power of 1\/2, to the nearest integer?\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 8. Let c(d) = -3*d + 11. Let w(i) = 10*i - 34. Let q(u) = 7*c(u) + 2*w(u). Let y be 5 - 7 - (-8 - 0). Give y*q(g) + 7*j(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17960, -16088, -12968, -8600, -2984, 3880?\n\"Answer: 624*w**2 - 18584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 + 10*n + 4. Let o be j(0). Find the second derivative of m**4 + 0*m**o + 176*m - 402*m**5 + 405*m**5 wrt m.\nAnswer: 60*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -16, 0, 1.04 in decreasing order.\nAnswer: 4\/3, 1.04, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 92*k - 143. Calculate l(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 25636*s - 945794 = 0. What is s?\nAnswer: -12781, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -5*c**4\/4 + 23*c**2\/2 + 9. What is the second derivative of s(y) wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1451?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.55619867 - -83\nAnswer: 83.55619867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3)\/a)**(-1\/50)*(a**0)**(-26)*((a*a\/a**0)**(1\/5))**(10\/7) assuming a is positive.\nAnswer: a**(607\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -99, -14 in descending order.\nAnswer: 1, -2, -14, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187 + 1193 - (5 - (0 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 13*l + 230. Calculate the remainder when l is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21883.04 to the nearest 100.\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + 0*g**5 - 4*g**5 + (0 - g**3 + 0)*(g - 3*g + 0*g)*(0*g - g + 2*g).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:39 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 14*t = -42. Is 7 a factor of 4\/(-8)*t - -129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50243, -99943, -149643, -199343, -249043?\nAnswer: -298743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 31, 60, 93, 124, 147?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/391 + 3271\/12121. What is the common denominator of 45 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 21. Let d be n(-9). Suppose m - 3 = d*c - 6*c, 3*c - 3 = 2*m. Suppose 2*o - 5*a - 829 = m, -3*o - a + 1233 = -5*a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856.6995 rounded to the nearest integer?\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4351\/30 + -145. Let v(p) be the third derivative of -1\/24*p**6 + 0*p**3 + 0*p**4 + 0*p - m*p**5 + 0 - 5*p**2. Find the third derivative of v(u) wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -738.5 plus 1.5?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4237153582 to the power of 1\/2, to the nearest integer?\nAnswer: 65093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suus when four letters picked without replacement from uuuussuuusuu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15423 and 14303958?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188c (base 13) to base 16.\nAnswer: -e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552210.8 years to centuries.\nAnswer: 5522.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 6239282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14*1)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.2 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16879450 by 241135.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - o**2 + o**2 + ((-4*o + 5*o - 2*o)*(-6 + 4 - 1) + 3 + 2*o - 3 + (-3 - 1 + 2)*(-4*o + 4*o + 2*o))*(-5*o + 9*o - 8*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128 + -169 + 9 + (-40 - -18)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -66873933 > -66873932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -i + 25, -8*o + 3*o - 34 = -28086*i + 28093*i for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48450.\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 1507697*b**3 - 2261544*b**2 - 2261545*b + 7538482\/5 = 0 for b.\nAnswer: -1, 1\/2, 2, 3769241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5217196.\nAnswer: 2, 1304299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/28 - 252\/392?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 262 in -4, 4, 0.16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -34.9999943. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1309719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/27*243\/(-135).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1049091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 633909 + 28*u - 633909 - 8*u + 115*u.\nAnswer: -4*u**3 + 135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1314.06408 nanoseconds?\nAnswer: 0.000000000002172725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*26\/3*(-98)\/490.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11011001020102 (base 3) to base 11\nAnswer: -1276a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2 + (-4)\/(-1). Let j = 7 + -6. Sort j, y, 3 in descending order.\nAnswer: y, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-140)\/35 - (-2)\/(6\/23535). List the prime factors of t\/7 - 9\/63 - 1.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402a (base 13) in base 14?\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 64*s**2 + 296*s + 58. Give x(59).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = 2*k. Let l be -3 - (-6 + 1 + k) - -3. Let c(t) = 19*t - 5. Does 32 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m + 7. What is y(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w**2 + 1)*(0*w - w - w) + (2*w - 3*w + 0*w)*(-4*w**2 + w**2 + 4*w**2) - w**3 - 2*w**3 + 6*w**3 - 1 + 2 - 6*w**3 - 2.\nAnswer: -8*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 8*k**2 - 27*k - 1. Let m be w(-8). Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s + 12281. Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539686032 divided by 3?\nAnswer: -179895344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4641664600 rounded to the nearest one million?\nAnswer: -4642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -70 + 36 + 36 + o**3 + 4*o + 2*o**2 + 3*o**2. Calculate w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-2))\/((-235)\/(-940658)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-82786)\/(-32) - 28\/(-7). Let d = 2585 - c. Calculate the common denominator of (194*(-3)\/150)\/((-6)\/(-15)) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1835 equal to 8551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 4:53 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 2\/3, 4320, -2801?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 720517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2123, 3837, 5551, 7265, 8979?\n\"Answer: 1714*u + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (181 - 0 - 0). Suppose 0 = 3*q - y + 3*y + 381, 2*q + 3*y = -254. Let x = q + d. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057))*-5)**2*2.\nAnswer: 102850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = b - 49, 0 = -0*b - b + 5. Let t = 7 - 6. What is the least common multiple of t and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*4\/(-8))\/((-554)\/(-1108)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -19. Which is the second biggest value? (a) -8 (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - ((-9536)\/(-40))\/(-8). Suppose m - 15 = 3*g. Let w(i) = 2*i**2 + i. Let v be w(1). Solve z + z - x = 7, -g*z + v*x + 16 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77361.542 - 77362.85199548. Let j = 1.31 + z. What is j rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -24775 - -24775.2. Let y(l) = 2*l**2 + 5*l + 3. Let g be y(-4). Let a = -23 + g. Does a = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a hour in seconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 3, l: 6, k: 1, v: 4, r: 3}. What is prob of sequence rwlr?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*y + 41 = 0, -y - 105 = 5*z + 4*y. Let c(q) = -q**3 - 23*q**2 - 22*q + 4. Let o be c(z). Solve -3*m = j - 6*j + 17, 0 = -4*m + o*j - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8485.378.\nAnswer: 2545.6134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*((sqrt(833) - (1 + sqrt(833))) + 4))**2 + (6*(2 + (sqrt(1700) - (sqrt(1700) - (5*sqrt(1700) - sqrt(1700))))))**2).\nAnswer: -3917412 - 23040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6549c (base 14) to base 16.\nAnswer: 3bd92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 561 - 43. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzbzzzyyyzyb. Give prob of sequence bb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1) + 2 - (-3 + 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2 - 2)*(54*o + 181*o - 2 + 21*o) to n + q*o**2 + g*o and give q.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 233*l. Let w(c) = -c**2 + 4*c - 3. Let p be w(2). Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1264 divide 188974320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65008 and 102?\nAnswer: 195024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*u**5 + 97*u**4 + 212*u**2 - 49 wrt u?\nAnswer: -840*u**2 + 2328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8575 and 3775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -547723774 + 0.84.\nAnswer: -547723773.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o + 23*o - 9*o - 12*o**2 + 15*o**2 to the form g*o + a*o**2 + w and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/50)\/((4\/(-26))\/(350\/455)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**2 + 2*t + 6. Let p = 134 - 141. List the prime factors of q(p).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402.6 + -403. What is the smallest value in 4, 6, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {n: 6, w: 2, d: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -29.5. Let u = s + -27. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 16, 0 = 2*d + 2*b + 484 - 512. Let o(p) = -2*p**2 - 2*p + 30. Determine o(d).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let m(h) = -h**3 - h**2 - 14*h - 33. Let j be m(-6). Let f(s) = -102*s - 2. Let r(a) = -3878*a - 77. Let n(l) = j*f(l) - 6*r(l). Give q(n(u)).\nAnswer: 294*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 61. Suppose 0 = -c*j + 7 + 1. Factor -4\/7*o + 0 - 4\/7*o**j.\nAnswer: -4*o*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, k: 4, o: 4, c: 2}. What is prob of picking 4 o?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - r)*(1 - 3 - 4).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, r: 4, u: 6}. Give prob of sequence rr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-72)\/(-16))*(3 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 9) to base 11\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgmm when four letters picked without replacement from gmzmmshgmhgsgsmmg.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 3. Let z(u) = u. Let a(r) = -r**3 + 3*r**2 + 8*r - 1. Let s(i) = -a(i) + 5*z(i). Let m be s(4). Solve 0 = -o*k - m + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = -11 + 99. Let r be (-35)\/q + -7 + 11. Which is the nearest to -2\/5? (a) r (b) 1 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1100?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 143 = -3*s + 4*s, j - 3*s = -51. Let m = j - -51. Let t = 91 + -635\/7. Which is the smallest value? (a) t (b) m (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from rpeermmerreoppope?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + u**4)*(1 + u - 1)*(-2 - 2 + 2) - 1065*u**2 + 1065*u**2 + 314*u**5.\nAnswer: 312*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 + 1. Let q = -191 + 187. Let u(h) = 2*h**3 + 4*h**2 + 5. Let d be 4\/14 + (-10)\/(-14). Determine d*u(x) + q*i(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3 - 3*j - j + j. Let a be m(-2). Suppose -2*o - a - 3 = 0. Sort 3, 0, o in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111418 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3887 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3974*c**2*f**2*w**2 + 3*c**2*f*w - c*f**2*w + 55*f**2*w wrt w.\nAnswer: 7948*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1800 by 24.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let j = -409 + 2743. 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 543870.1 hours in seconds?\nAnswer: 1957932360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -1 (b) 0.3 (c) 1.718 (d) 0.056 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 41*y**2. Let n(o) = -799*o**2. What is n(t(f))?\nAnswer: -1343119*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685, 5646, 19113, 45340, 88581, 153090?\nAnswer: 243121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*5595.\nAnswer: -15106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68640 by -5.\nAnswer: -13728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 136, 2\/5, -2\/7?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/8 + 8*z**3 - 1035*z**2\/8 + 243*z\/2.\nAnswer: -z*(z - 36)*(z - 27)*(z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -1.948926.\nAnswer: -0.05846778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976982 is divided by 1023?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19371913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/189 (b) 0.02 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442412313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-2\/79)\/((b*b*b\/(b**11\/b)*b*b)\/b**(1\/8)) assuming b is positive.\nAnswer: b**(16227\/3160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -25. Is (-2 - a)*(-76)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/4 + 9*v**3\/2 + 27*v**2\/4 + 3*v.\nAnswer: 3*v*(v + 1)**2*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1 + 58*i - 4 - 3 - 55*i. Let l be r(5). What is the third derivative of 6*n**2 - 123*n**6 + 124*n**6 + l*n**2 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 1. Let h(m) = -4*m**2 + m + 2. Let r(k) = 4*k**2 - 2. Let s(g) = 4*h(g) + 3*r(g). Determine -2*b(c) + s(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let i be t\/12 + 3\/(-18). Let q = 3 + i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1392260922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/2520 - d**6\/60 + d**5\/12 - d**4\/8 + 5*d**3\/2 + 2*d**2 + 23*d. Let f(s) be the second derivative of k(s). What is f(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - j - 9, 2*j = -4*x + 14. Let h(b) = 11*b**3 - 10*b**2 + 15*b**2 - x*b**2. Calculate h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 127*o - 3 - 125*o - 6. Let l be w(6). Suppose -p + h = -129, -l*p = -4*p - 2*h + 123. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + ((-13)\/(-52) - 18\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5 = -2*a - k, -10 = -5*a + 5*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 18 = 5*c. What is the second smallest value in -4\/3, 1\/2, c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-5) - (4\/5 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*h - 200, 76 = 2*h + 76. Calculate the remainder when w is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62161 or -62157?\nAnswer: -62161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 3*m, -2*j = -4*m. Let q(f) be the first derivative of -3 + 0*f**2 + j*f + 2\/33*f**3. Factor q(b).\nAnswer: 2*b**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111100110110 + 110?\nAnswer: 1101111100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -381.2 + 112.2. Is m greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030031 - 1102?\nAnswer: 1022323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h - 8*h + 816 = -14*h - 23*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 1401810*h + 163755939675.\nAnswer: 3*(h - 233635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71252177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9365.933km in meters?\nAnswer: 9365933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t**(-6)*t)\/(t\/(t*t**(3\/5))*t)**(-2\/55))**(22\/7) assuming t is positive.\nAnswer: t**(-1642\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/19 and -47\/894.\nAnswer: 16986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 832 + -9154\/11. Put 8, 0, n, 4 in descending order.\nAnswer: 8, 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5094 - 3186. Calculate the greatest common divisor of 144 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -30.99999923. What is l rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 181.37 (b) 1\/4 (c) 0.02 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49380 is divided by 16373.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48376610311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {w: 11, z: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11284*d + 4306*d + 18509*d to y + z*d and give z.\nAnswer: 34099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2304 and 7704?\nAnswer: 246528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6580 by 14.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**2 - 5*v + 3. Let l(s) = -15*s**2 + 8*s - 5. Suppose 8*t = -5*k - 34, -k = -5*t + 4 - 50. Determine t*z(f) - 5*l(f).\nAnswer: -5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)\/((-6)\/(-24)). Suppose -5*t + 3*s = -21, -z*t - 2*s = t - 11. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150176460?\nAnswer: 2, 5, 57508823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8348 is divided by 119.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbuduudbdbbbbuddd. Give prob of sequence ub.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.96 + 0.04. Let t = v + -7. Let l = t - 2.9. What is the second smallest value in l, 3\/8, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k - 4*f, 2*f + 8 = -2*f. Solve k = -l + 5*j - 23, -l + 2*j - 12 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -439148*l**2 - 376633*l.\nAnswer: -878296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4884 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 9*i**2 - 12*i + 15. Let j(v) = v**2 - v + 1. Let x(w) = 6*j(w) - m(w). Let g be x(2). Let o(d) = -17*d + 28. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 19. Let d(r) = -r**3 - 5*r**2 - 9*r - 6. Let x be d(-3). Suppose n + 12 = x*n. Let h be b(n). Solve -s + z - h = 0, -3*s - 2*z + 8 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - 0. Let j = 0.15000166 + b. What is j rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from sppsosssp?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15050, -32990, -50930, -68870, -86810?\n\"Answer: -17940*i + 2890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 27 = 2*s, -14 = -5*k + 2*s + 27. Suppose c - 39 = -k. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 329 + -329. Suppose -2*b - 8 + 2 = -3*w, -2*b = 0. Solve p = -t + 5*h - 1 - 5, 0 = w*t - h + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*u. Suppose u*p = p. Solve -5*k - 15 = p, -s + 2*k + 6 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x - 3*v + 5841, -x - 3*v = -1449. Suppose 4*m + x = 12*m. What are the prime factors of m?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*f**2 - 46011*f - 13545*f + 4031*f + 8042*f.\nAnswer: -2*f**2 - 47483*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 434*u*y**4 + 832*u*y**3 + 279*u*y**2 - 2122*u - 11*y**6 + 8*y**2 wrt y.\nAnswer: 10416*u*y + 4992*u - 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -446 + 412. Let t(l) = l**3 + 32*l**2 - 70*l + 14. Calculate the remainder when t(m) is divided by 8*(-2 + (-22)\/(-4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w - 2*n + 3 = -65*w, 3 = -5*w - n. Sort 3, -8, w, 1, -7.\nAnswer: -8, -7, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 415 = -4*g, -3*l + 0*g + 1175 = -2*g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 10*t + 56. What is the third biggest value in t, -6, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 711490260 and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -29322 in descending order.\nAnswer: 1, -1, -29322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 11*t**2 - 8*t - 9. Let g be n(10). Suppose 0 = g*a - 10*a - 28. What is the third derivative of 14*d**3 + a - 28 - 15*d**2 wrt d?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291 = -3*a - y, -16*y + 20*y = -a + 445. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1129266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*z**5 + 2*z**4 + 109*z**3 + 14*z**2 + 177*z - 1?\nAnswer: 900*z**2 + 48*z + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 27)*(-9854)\/(-78).\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u - 14 = -v, 0 = -2*u + 4. What is the highest common divisor of v and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147*g - 180*g + 33*g)*(-2 - 1 + 1 + 4 - 2 - 1 + (-3 + 0 + 1)*(2 - 1 - 2) - 4 + 4 - 2 - 2 - 3 + 4 + (0 - 4 + 3)*(6 + 6 + 0)) to r*g + w and give r.\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2 - (1 + (5 - 3)). Solve 3*f - 3 = p*x, -5*x + 2 = -4*f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -4092\nAnswer: -1\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by -16.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 114. What is the remainder when 80 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8 - 1\/4*j**3 + 1\/4*j + 0*j**2 + 1\/8*j**4.\nAnswer: (j - 1)**3*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141819 = -7223*j + 2227*j - 21915 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11288 + -11293. Which is the nearest to -2\/3? (a) -3\/8 (b) -0.5 (c) -58 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, k: 3, y: 4}. What is prob of picking 3 k and 1 x?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 + 7*m**4\/24 - m**3\/2 + m**2. Let i = -135 + 141. Let r be c(i). Solve -r*z = -z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:32 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -113031?\nAnswer: 113021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 4*s - 4. Let j(l) = l**2 - 16*l + 29. Let r be j(14). Let y be u(r). Solve -2 = d, y*d + 8 = -0*o - 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/(-20)*-2). Let l = 4 + r. Let f be l\/((6\/4)\/(-3)). Solve -w - w + f = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4 - 1420*s**3 + 106260*s**2 - 761760*s = 0.\nAnswer: 0, 8, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*c - 15, b + 0*c - 9 = 3*c. Let d be (-2 + (-21)\/(-9))*(b + 45). Suppose -5*v - k + 1 = 0, 3*v - 6*k - d = -3*k. Solve 2*j - v = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0532459+0.1\nAnswer: 0.1532459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/2)\/3*(7 + (-151962)\/18).\nAnswer: 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 4 + 0*w**3 + 0*w + 1\/4*w**4 + 5\/2*w**2. What is the second derivative of m(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 4, -5, -1 in decreasing order.\nAnswer: 4, -1, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 - -20137?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978409832.\nAnswer: 2, 4549, 109321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*o - 2329 = 290, 3*j + 5*o + 1560 = 0. Let t = 355 + j. What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4437 + -7?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0)\/(2\/(-100)). Let h = v - -151. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123311 + 122?\nAnswer: 130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**4 - u + 0*u**3 - 108\/5*u**5 - 112 + 3*u**2. Find the second derivative of f(a) wrt a.\nAnswer: -1296*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:16 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:23 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) -1 (c) -0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 316?\nAnswer: 221.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 6. Let g be t(-10). Let j be (g\/10)\/(((-170)\/100)\/(-17)). Solve 5*y + q + 16 = -q, j*y + 3*q = -17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*t, -4*b = -5*t - 0*t - 18. Suppose -31 = -h + 3*y, -h - b*y = -3*y - 37. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8955943 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -11. Let l = -610 + 789. Let v = -178.9 + l. Which is the biggest value? (a) v (b) 5 (c) -2\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7865 divided by 5\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**3 - 9*p + 6. Let x(v) = 32*v**3 + 26*v - 17. Let n(o) = 17*k(o) + 6*x(o). Find the second derivative of n(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 17035. Let w(q) = -156*q**2. What is d(w(o))?\nAnswer: 156*o**2 - 17035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -998*j**2 + 870*j wrt j.\nAnswer: -1996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + ((sqrt(72) - (sqrt(72) - sqrt(72)*1))*-3 - (sqrt(72)*2 + -5)))**2.\nAnswer: -480*sqrt(2) + 1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(931) + 0 - sqrt(931) - sqrt(931))**2 + sqrt(209)\/(sqrt(891)*1).\nAnswer: sqrt(19)\/9 + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 60.2, 212\/7, -0.5, 2\/3, 2\/13 in ascending order.\nAnswer: -0.5, 2\/13, 2\/3, 212\/7, 60.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 318.4 * -146.\nAnswer: -46486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 45 = 90*g + 21. Let f(d) be the first derivative of -7*d**5\/60 - d**4\/24 + d**3\/3 + 2. Let x(z) be the third derivative of f(z). Give x(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 1\/120*r**6 + 20 - 1\/6*r**4 + 1\/15*r**5 - 6*r**2 + 0*r - 1\/3*r**3. Give x(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 21*g**2 - 30*g - 203. What is l(-22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 + 1?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - 0. Let a = v + 0.8. Which is smaller: -2\/5 or a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2926545 or 2926543?\nAnswer: 2926543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b386 (base 12) in base 16?\nAnswer: -97956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140000 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -11. Let m(a) = -a**3 - 6*a**2 + 4*a - 15. Let g be m(y). Find the third derivative of -7*c**2 - 10*c**4 + 0*c**2 - 2*c**4 - g*c**4 wrt c.\nAnswer: -432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = -2*y - 2*w, -5*w + 90 = -5*y. Let n = y + 24. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528445 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1 (c) 0.4 (d) -9 (e) -2 (f) 320\/87 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00112916247 rounded to seven dps?\nAnswer: -0.0011292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.09 - 0.09. Let g = j + -9.1. Put g, -0.07, -1 in descending order.\nAnswer: -0.07, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 4. Let r be ((-9)\/3)\/(7 - 8). Find the second derivative of -r*t - g*t**3 - 20*t - 4*t wrt t.\nAnswer: -108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*w + 844*w - 6 = -b, -5*w - b - 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.4535 * 20.\nAnswer: 429.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 3. Let y be q(-9). Let b = -18 + y. Put 5, -2, b in ascending order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 619587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103697 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than or equal to -55\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 t, and 1 d when four letters picked without replacement from rrrddhhttdrrrrrr?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4 + 60\/18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 4*k**2 - 271\/24*k**4 + 0 + 0*k + 4\/3*k**3. Let x be m(8). Round x to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a kilogram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -0.05\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose u*v = -2*v - 40. Does 17 divide (-38)\/(-2) - v\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120668*b**2*m*q**2 - 1731*b**2*m*q - 4*b*m + 2*b - 3*m*q**3 + m*q - 47*q wrt q.\nAnswer: 241336*b**2*m - 18*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g. Suppose -h + 2 = -0*h. Let d(u) = -4 - h*u + 12 - 8. Determine d(v(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -11, -142\/5, 3, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/120 - 13*f**4\/24 + f**2. What is the second derivative of c(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32400979 by -2492383.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 6, j: 4}. What is prob of sequence zazj?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -94, -113, -152, -217?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 12) + 1 + -101. Let l = c - 58. Let m = -105 - l. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f + 3*f + f - 2*f + 2*f + (5 + 6 - 7)*(f - 5*f + 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9137?\nAnswer: 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.35839 months to millennia.\nAnswer: 0.0124465325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -282, -329, -392, -477?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3 in increasing order.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*k, 0 = -4*i + 5*k - 3*k + 56. Let n(y) = -2*y**3 + 31*y**2 - 18*y + 41. Let h be n(15). Put i, 1, h in decreasing order.\nAnswer: i, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0.1 (c) 4434182 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2\/3*m - 5 - 2\/3*m**2 - 2\/9*m**6 + 4\/9*m**3 - 2\/15*m**5 + 2\/3*m**4. Determine k so that j(k) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 61.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**3 + j**2 - 5*j - 6. Let t(f) = 11*f**3 - 4*f**2 + 11*f + 11. Let d(g) = 5*o(g) + 2*t(g). Is 18 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(16\/(-4) + -1). What is the closest to -1 in -5, r, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 * -0.1\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2*n**3\/3 + 2*n**2 - 4*n + 9. Determine k(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 10, 5*g + 15 + 31 = 4*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 2 - (sqrt(12)\/sqrt(4) + -4)) + -3.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 613*p - 13. Is s(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -0.4 (b) -5 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -57.96. Let h = -10 + 6. Put -0.1, h, y in descending order.\nAnswer: y, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 248*w + 385. What are the prime factors of z(7)?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = o - 9, -5*v = -o - 4*o - 30. Let a = -4 - o. Is 4 a factor of 4\/(a\/(-3) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 4*d**2 + 0 + 5*d - 5\/12*d**4 + 0*d**3. Differentiate j(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -974*v - 1158*v + 787*v + 129*v - 1530*v as s + n*v and give n.\nAnswer: -2746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.1, -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + (-53 - (9 + -36)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = -l + 11, 3*l = 3*v + 6. Let t be 475\/171 - 4\/(-18). Suppose -i = -l - t. Solve -i = -3*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.6 + 18.9. Let f = 1.03 - 0.03. Which is the biggest value? (a) 5 (b) 0.2 (c) t (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1995*-295.7\nAnswer: 58.99215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 9 (b) -0.388 (c) -0.3 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by 39.\nAnswer: 350\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205038058.\nAnswer: 2, 199, 271, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -546 + -5?\nAnswer: -54b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (41 + -47)*(-434)\/3. Let q = k + -455. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075048 is divided by 3625?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 612*n**4\/11 + 611*n**3\/11 - 3673*n**2\/11 + 6*n\/11 = 0. Calculate n.\nAnswer: -3, 0, 1\/612, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-21))\/((45\/140*4)\/(-2))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Suppose 5*p + 50 = 5*b, -50 = -v*b - 4*b - p. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-346)\/(-1211))\/((-335)\/1050 - 2\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 40*v - 45*v = 3985, -17*v + 7970 = -2*s. Is -3986 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2183 by 7377.\nAnswer: -2183\/7377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317 divided by -2.\nAnswer: -317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -835 - 126552402.\nAnswer: -126553237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -520406541?\nAnswer: 520406540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*l - q + 18, 0 = -3*q + 6. Let w be (-2 + (-13)\/(-6))*(4 + 2). Let a be (-1 - -1)*(-3)\/(-6). Sort w, l, a in decreasing order.\nAnswer: w, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 7*f**2 + 4*f + 8. Let t = -15 + 21. Let u be b(t). Let z be 10\/u - 3\/(-6). Does -3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 152. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39721.\nAnswer: 11, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**4 + 7*u**2 - 4. Let w(c) = -10*c**4 + 6*c**2 - 3. Let b(x) = 4*w(x) - 3*z(x). What is the third derivative of b(m) wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 3. Let z = -9 - -15. Let o be j(z). Let y = o - -29. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(1701) + -1*1*sqrt(1701))\/(5*2*sqrt(243)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0259816 + -0.6654\nAnswer: -0.6394184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k + 753. Let j be m(-47). What is the second biggest value in 2\/59, j, -1\/3?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.92943 times 0.006?\nAnswer: -0.02957658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87570 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 60 = 47*c - 52*c, -5*k - 39 = 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2657*n + 2. Let v(g) = -2469*g. Determine v(s(i)).\nAnswer: 2469*i**2 + 6560133*i - 4938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234424 (base 7) in base 14?\nAnswer: -42484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19323 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = 4*j - 2*f, 0 = j + 3*f - 4. Let h be (-3)\/12 + j\/(-8). Let u = -2617 - -2619. Solve h = -5*z + r - u + 11, -r = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95200\/(-2380)*(-2)\/(4\/(-1))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjm when three letters picked without replacement from {j: 5, m: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkdkbdkutbkkz. Give prob of picking 1 k, 1 t, and 1 b.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -68. Which is the closest to 2? (a) -2 (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*p + 23, 4*p - 4*j + 0 - 8 = 0. Let g = p + -3. Suppose -4*m - 184 = -4*l, 5*l - m = -g*m + 260. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13265\/3706 - -92\/109. Let i = -3027\/880 - 37\/176. Find the common denominator of i and p.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 7*j + 140. Calculate f(10).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 9*s - 373. List the prime factors of c(19).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23142675 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 31. Let x(i) = 3*i - 21. Let d(o) = 5*m(o) + 7*x(o). Let h be d(0). Let q(v) = v**2 - 7*v - 6. Let a be q(h). Solve 2 = -y - a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(48) - (sqrt(432) - sqrt(48)))\/sqrt(3))\/sqrt(8) + sqrt(2) + 1*sqrt(32) + (sqrt(24)\/sqrt(4))\/sqrt(3))*5)**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 43*p - 7*p - 15*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 5204. Let k(o) = 3*o + 1. What is 2*k(p) - r(p)?\nAnswer: -p - 5202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132951 - 3.3?\nAnswer: -1132954.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, -2, -7, 20, -4\/5, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 189 = 217. Solve -2*y + 5*a + 18 = 0, -t*a - 10 = -2*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/894 and -149\/360.\nAnswer: 53640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1596 and 366702?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236, 46, -144?\n\"Answer: -190*p + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2, 2*p - 5*p + 2*z + 545 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-15))\/((-4)\/270). Let z = -52 - x. Solve z + 8 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 49, 9, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g + 12*g + g**2 + 1 - 24*g - 2*g - 2 - g**3 to the form l*g**3 + c*g + b + z*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247612 is divided by 178197.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -15. Suppose j*z = o + 12 + 46, -4*z - 2*o + 52 = 0. What is the remainder when 44 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/552 and -45\/8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264 (base 7) to base 14.\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 2*n - 66 + 98.\nAnswer: -3*n + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = 5. Suppose 3*x = -r*a - 24, -14 = a + 3*a - 2*x. Sort 3, -2, a in increasing order.\nAnswer: a, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 - 8*d - 14. What is k(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 901 = 846 - 2103. Calculate the remainder when 367 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/24 + 5*d**3\/6 - 11*d**2. Calculate the smallest common multiple of q(0) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392577696 divided by -98144424.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + 666\/(-30))*5\/(-8). Which is the nearest to 2\/5? (a) 1\/7 (b) 1\/6 (c) w (d) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52262 - 139225819\/2664. Find the common denominator of x and -151\/120.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22662.8 - 0.1.\nAnswer: 22662.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1486 and 584995849?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 4*h**2 + 2*h**2 - 1 - h + h**2 + 0*h**2 - 2*h**2 - 2*h + 2*h + h**2 + (h + 2*h - 2*h)*(-3 + h + 3).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.24 - -16. Let h = -0.0267 + -18.9133. Let a = h - b. Round a to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/7 - -1\/105. Sort -1, 5, z in ascending order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 54*b**2 - 608*b + 61. Determine h(-38).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 335324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 8. Let b be -8*2\/(-1)*(0 + 1). Suppose 28 = 11*d - b. Give k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151\/(-115) + (-6)\/69?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(24)\/sqrt(2) - sqrt(12))\/sqrt(2))\/(sqrt(6912)*-1).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 14*s + 297 + 178 = 0, x - x - 4*x - 130 = -5*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0*r + 0 + 1\/4*r**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 377.9656 to zero dps.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -535 and -536432.7.\nAnswer: -536967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5143344 to 2 decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 23*k + 21. Let v(m) = 2*m**2 + 23*m + 21. Let x(u) = 5*h(u) - 4*v(u). Let p be x(-11). Is p > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 15767.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -157125*n**3 + 2438299?\nAnswer: -471375*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -m + 4*g, -m = 3*m - 5*g - 1898. Differentiate m*u**2 - 472*u**2 + u**4 - 21 - 11*u with respect to u.\nAnswer: 4*u**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89625 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.1 + 8.0186. Let s = n + 0.082206. What is s rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2*(-9 - -10). Let v be -1*w\/9*6. Which is smaller: -2\/3 or v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 3. Let l(f) = f - 1. Let a(y) = -2*g(y) + 7*l(y). Calculate the least common multiple of 6 and a(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 2}. Give prob of picking 1 i and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41507310 by -355.\nAnswer: 116922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s - 147. Let y be n(15). Put y, 43, -33 in descending order.\nAnswer: 43, y, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 + 9*s + 8. What is the hundreds digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/5 + 21916*y**3\/5 - 43848*y**2\/5.\nAnswer: 4*y**2*(y - 2)*(y + 5481)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 132 = -3*y, -90*y - 2*g = -93*y + 63 - 151 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**6*t*t))\/t)\/t)\/(t\/t**(-1\/9))*(t**(-2\/3)\/t)\/(t*t**(1\/6)) assuming t is positive.\nAnswer: t**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-4)\/(-8)*(-8)\/(-12))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:47 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188*j - 391*j - 401*j - 336*j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 5. Calculate the remainder when l(-4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 + 13\/6*s**3 + 1\/120*s**6 + 0*s + 7\/8*s**4 - 17\/60*s**5 - 33*s**2. List the prime factors of m(16).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c**4\/9 + 6*c**3 + 34*c**2\/9 - 4*c\/3 = 0.\nAnswer: -6, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j + 3. Let t be z(5). Let d = t + 17. What is the units digit of ((-12)\/d)\/(14\/(-105))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y + 32 = 3*r, 4*y + 46 = 3*r. Let j(l) = l**3 - 9*l**2 - 6*l + 146. Determine j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1353*v + 33822. Determine r(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149544 and 30.\nAnswer: 747720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 146.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 + 3*p**4 + 124*p**2 - 131*p**2 + 2 + 0*p**4 + 3*p**4 in the form j + r*p**2 + w*p + f*p**3 + t*p**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 58 = 5*k - 9, 5*m - 65 = 5*k. Let f(j) = 6*j**2 + 8*j. Let i(o) = o**2 + o. Determine m*i(q) - f(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -180, -124, -36, 72, 188, 300, 396?\n\"Answer: -2*v**3 + 28*v**2 - 14*v - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(18\/(-21)) - 440\/(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3994825 is divided by 595.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.93880605 - -0.06125995. Let p = 2 + -7. Let z = p + k. What is z rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1392 = 3*o - o, 8 = 4*v. Let l = -639 - o. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4122 and 6412?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2459 + 11424. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 + 4*d - 1. Let c(y) = y**2 + y. Let b(l) = 5*c(l) - x(l). Suppose -7*q + 15 = 22. Calculate b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 1260, 1890?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-189)*907949*3\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/63)\/(7\/(-308)*-11). Factor -32\/7*p - h - 2\/7*p**3 - 2*p**2.\nAnswer: -2*(p + 2)**2*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7763.978745 - 7764. What is h rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (524\/(-1572))\/(10\/36)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 5 + 6\/(-2). Let d(r) = -r**3 + 10*r**2 - 8*r - 3. Let c be d(m). What is the third derivative of -4*y**6 - 4*y**c + 3*y**6 - y**2 wrt y?\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -7. Let w = 8 + x. Suppose 0 = -u - 2*s + 79, 0 = u + w*s - 29 - 45. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -31*f - 494. Let w(m) = -8*m + 35. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(1125\/(-50))*(-10)\/(-2)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -70\/3 (c) -2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1103\/5 in -76, 1\/8, -0.2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 2\/29, 0.1, -2\/7, 24, 0.4 in increasing order.\nAnswer: -2\/7, 2\/29, 0.1, 0.4, 7\/6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 24.8418?\nAnswer: 4.96836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 10. Let n(s) = s**2 + s + 9. Calculate 2*j(r) + 3*n(r).\nAnswer: 3*r**2 + r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -36. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15. Suppose -22 = -o - v*f, o - 8 = -f - 1. Is (o\/4)\/((-2)\/(-2708)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**2 + p**2 + 65*p**2)*(0*p**3 + 3*p**3 - 4*p**3) - 27*p**2 - p**5 + 27*p**2.\nAnswer: -79*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.068993652 take away -3.6?\nAnswer: -22.468993652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkokko. Give prob of sequence kkkk.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -0.1, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 151822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -1. Factor d*h**4 + 39*h**4 - h**2 - 14*h**3 + 6*h - 74*h**4 - 13*h**2.\nAnswer: 2*h*(h - 3)*(h + 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 928 by 8.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {d: 1, t: 3, u: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 190. Let t = 205 + g. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2985.55\nAnswer: -1492.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15253, -15254, -15253, -15250, -15245, -15238, -15229?\n\"Answer: z**2 - 4*z - 15250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**5 - 157552*c**4 + 54*c**2 - 62041*c + 2 wrt c?\nAnswer: -540*c**2 - 3781248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-770)*3682\/35 - 3\/(-33)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128455843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*k - 28*k - 71 - 24*k)*(-2*k - k**4 + 2*k).\nAnswer: -2*k**5 + 71*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24149 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*r + 82\/5*r**3 + 320 - 876\/5*r**2 - 2\/5*r**4 = 0. Calculate r.\nAnswer: -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*u + 2579*u - 1292*u - 105 = -5*j, 0 = 2*u + j + 54 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 103 + -30 - 66 - (-1 - (-1 + 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7613001*z**3 - 95*z - 94. Let v be l(-1). What is v rounded to the nearest 100000?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -5*(7 + -8). Let f(l) be the first derivative of 7\/2*l**2 + 1\/4*l**4 - 6*l - 2*l**v + 2. What is f(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + 839301?\nAnswer: 839340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -978977180 or -978977179?\nAnswer: -978977180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1)*x)\/x)\/x)**(14\/13)\/((x**(8\/5)\/x)\/x**(-8)) assuming x is positive.\nAnswer: x**(-489\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20753184*r**2 + 11800775?\nAnswer: 41506368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwe. Give prob of sequence de.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62 - 74 - (-11 + 2) - -14. Solve -13*t + 3*r + 2 = -y*t, -2*r = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94409\/15894 + -4\/883. What is the common denominator of d and -127\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 1, n: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -680, -1513, -2344, -3173, -4000, -4825, -5648?\n\"Answer: x**2 - 836*x + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c**2 + 1 + 18*c**2 - 3)*(0*c - 3*c + 4*c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + d = 25, -4*a = -4*d + 3*d + 55. Let l be 92\/(-10) + (-3)\/a. What are the prime factors of 7*(-2 + l\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 - 151. Let v be -3*(m\/(-12) + -9). Calculate the greatest common divisor of v and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -2\/22297947?\nAnswer: -2\/22297947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9) + (-9)\/((-27)\/92). Suppose -2*d = 4*w + g, -4*d = -18*w + 14*w. Let k(s) = 4*s + 3. Let t(c) = 5*c + 4. Let r(n) = -6*k(n) + 5*t(n). Give r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v. Let i = 18 + -16. Let m(j) = 5*j - 5*j + 5*j**2 - 6*j**i. Calculate m(a(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose q = -2*n - 3*o + 1 + 14, 2*o = -5*n + 21. Suppose 7*z - n*z = 48. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in -1, -0.4, -5\/4, -0.7, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 13) to base 11\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -4678, 3, 9 in ascending order.\nAnswer: -4678, -5, -1, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 - -2894. What are the prime factors of p?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let k be 12\/2*4 + 0. Let q = z + k. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 9212 (c) 359\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18436 and -101\/6704.\nAnswer: 73744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -60*c - 2768. Let i be w(-71). Is 1488 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7900*r + 72978 = 8633 - 314855 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14*u - 5. Let a(f) be the first derivative of -5*f**2\/2 + 2*f - 47. Determine 8*a(p) + 3*d(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 180 = 13*i. Let b be -2 - -3 - (-6)\/i. Factor 0*h + 3\/5*h**4 + b*h**2 + 9\/5*h**3 + 0.\nAnswer: 3*h**2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/9)*d)**(-5\/2)\/((d**(1\/2)*d)\/(d*d**(-3))) assuming d is positive.\nAnswer: d**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) + -1 + -2 - sqrt(5)) - (2*(1 + sqrt(5)) + sqrt(5) + sqrt(5) + -3))**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 = 76*y + 290 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018663 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 2 in descending order.\nAnswer: 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 divided by 86?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kjkkjkkj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*w = -3, -4*v + 6 = -4*w - 6. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 6, w: 2, m: 2}. What is prob of sequence wmww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-5)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -75. Let u = 34 - b. Solve u*i - 4*i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/12*100503\/103080\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -425*x**2. Let n(a) = -8*a. Give m(n(j)).\nAnswer: -27200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1470 - -779. Let y = x + -1482. Suppose 4*l = 4131 - y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -145. Is -50 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*s + 4*s**3 - s**3 + 2*s**2 + 109*s to the form b + w*s + d*s**2 + o*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:16 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 2 - 2 - 3*b + 4*b - 2*b + (-3 + 3 + 3)*(4*b + b - 3*b) - 78 - 72*b + 78 as w*b + n and give w.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 - 25*v**2 + 15*v - 1. Is j(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c**2 - 3*c**2 + 2*c**2)*(c - 5*c + 5*c) + (-3 + 3 + 2*c)*(1 - 1 - 2*c**2))*(-c + c + 9*c).\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*r - 247*r + 9 = 0, -2*t = 2*r - 8. What is the remainder when 1089 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 5*p**2\/2 - 451. Let h(t) = 66*t**2. What is h(l(g))?\nAnswer: 1650*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 89727980 to the nearest one hundred thousand.\nAnswer: 89700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u - 10. Suppose 3*i - 3*q - 339 = 0, 2*i - 4*q + 547 = 7*i. Let y = i - 1001\/9. What is the closest to -2\/3 in 2, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5174 or -5062?\nAnswer: -5174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 4522496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 31. Let w(b) = t + 0*b**3 - b**3 - 12. Suppose -2*g - 9*g + 2*g = 0. What is w(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*y + 560 = -0*y, 3*y - 123 = -r. Let m = -13 + 25. What is the greatest common divisor of m and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 53*t - 9. Let h(w) = -214*w + 35. Let o(f) = 6*h(f) + 26*n(f). What is the tens digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - s = -2*s - 122, q = -4*s + 45. What is the greatest common factor of q and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose 1 + s = -n. Let a(m) be the second derivative of -m**3\/6 - m**2\/2 + 2*m. Determine a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202 (base 3) in base 12?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, 2\/17, -35, -1.9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18612 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 5*m**4\/12 - 5*m**3\/3 + 10*m. Let p(h) = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**2*s**2 - b**2*u**2 - 4186*s**4*u**2 + 30*s*u**2 + 1712*s wrt s.\nAnswer: -14*b**2 - 50232*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4054\/13 + -312. Let n = -501 - -502.5. Sort m, 1\/3, n.\nAnswer: m, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1821, 1819, 1817, 1815, 1813?\n\"Answer: -2*j + 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186594 is divided by 62090.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*z + 5329 - 5595 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 25 = 5*p, 2*r + 5*p - 19 = 0. Suppose -4*s = -3*l - 3*s + 31, 3*l - r*s = 32. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1095 - 1.955?\nAnswer: -14.0645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -24, -30, -62, -132?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 28*i - 9. Let h be m(5). Suppose -x + h = 3*k + 4*x, -3*x - 15 = 0. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 8. Let w(y) = 5*y + 8. Let k be w(-2). Let m be b(k). Solve -5*n - 29 = m*t, -3*t + t - 7 = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccfcffccccf.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 - 2 = 0. Let d(c) = -c**3 + 2*c**2 + c - 3. Let w(y) = y. Let t(x) = d(x) - 3*w(x). What are the prime factors of t(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21112 (base 4) to base 3.\nAnswer: 211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 - 112*g**2 + 618*g - 900 = 0 for g.\nAnswer: 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 28*y**2 + 44*y + 20.\nAnswer: 4*(y + 1)**2*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -23*l + 30*l. Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182bb (base 13) to base 9\nAnswer: -70860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*g - 2509 + 6949. What is the remainder when 726 is divided by g?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 5. Let x = 24255\/9694 + -10\/4847. Let p(a) be the first derivative of -x*a**2 - 13 + 6*a. What is 2*p(l) - 3*y(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*t + 55*t - 116*t**2 + 27*t**2)*(2 + 0 - 8).\nAnswer: 534*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95250 is divided by 2721.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 1. Let l(w) = 7*w**2 + 2*w. Let y = 347 + -363. Let k be y\/6 + 4 - 4\/12. What is k*l(z) + 2*g(z)?\nAnswer: 5*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.17 - 25.37. What is the third biggest value in p, -13.8, 1\/4?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24*-1)\/(3\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, p: 1, r: 1, y: 2, o: 1, e: 1}. Give prob of sequence pyrb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 6*b - 509. Let m = -110 + b. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 452, 449, 446?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:07 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(p + 3*p - 2*p)*(-5 + 3 + 3).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/11 and -70\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (57 + -57)*1\/(-2)*-2. Suppose -i + x = 3, z - 3*i - 1103 = 0. What are the prime factors of z?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233146 is divided by 29039.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -832 - -1935. What are the prime factors of a?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60670.68 microseconds to milliseconds.\nAnswer: 60.67068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in -13, -0.0923, 33, 4, -2\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 3*b**4 - 3*b**4 + (-3*b**2 - b**2 + 3*b**2)*(-b**2 + b**2 + 2*b**2) - 20327*b + 20327*b - 479*b**4 + 2*b**4 + 22*b**4 - 2*b**4.\nAnswer: -460*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*b**2 + 3*b**3 + 4*b**3 + 439*b**2 + 3*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -65.7 (c) 4582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**6\/165 + d**5\/110 + d**4\/66 - d**3\/33 - 4*d. Factor p(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -0.018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 108*i**2 + 1092*i + 980.\nAnswer: -4*(i - 35)*(i + 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 629*g**5\/60 + 6*g**2. Is a(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r**3 - 46. Let f(o) = -6*o**3 + 31 - 3*o**3 + o**3. Let m(v) = -8*f(v) - 5*l(v). What is the derivative of m(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136251378 and 1426716.\nAnswer: 272502756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000119870545 to 6 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1695*g + 20 - 23 + 3 to the form b*g + o and give b.\nAnswer: 1695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*d - 15, 0 = -t - 5 + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - 6*p**2 + 3*p + 2. Let z be q(2). Suppose -x + h + 68 + 187 = z, 0 = 3*h + 12. Calculate the remainder when x is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8631736 to the power of 1\/2, to the nearest integer?\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from lvgblglggligvgbvggle?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1187*n**4 + 17*n**2 + 116*n?\nAnswer: -28488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsbs when four letters picked without replacement from {x: 5, s: 3, v: 7, b: 1}?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14\/1 + -474 + 466?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524438561.\nAnswer: 101, 157, 33073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(2057) - (2*(sqrt(2057)*2 - sqrt(2057)) + sqrt(2057)))*-3 + 4)**2.\nAnswer: 15840*sqrt(17) + 66646816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(30)\/(sqrt(6) + sqrt(6)*3 - sqrt(6)) + -1 - (-1 + sqrt(80))*-2))**2.\nAnswer: -200*sqrt(5) + 12824\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5151*k - 419. What is the tens digit of n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13660 = -4*w + 4*d, -16*w - d + 17099 = -11*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 27*z - 505 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 3*z - 32, 0 = -3*m + 4*z - 4. Solve 10 = -2*h + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.863 - 0.137. Let y = -17 - u. Let z = y + -44. Which is the closest to -2\/3? (a) 5 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (5 - 1)) + 1. Suppose 0 = 4*r + 4*v + 263976, 65992 = -r - s*r - 2*v. Let k be -4 + 1 - (1 - r). Round k to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3578 is divided by 497?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -76*b + 614. Calculate the lowest common multiple of 744 and r(4).\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*a - 14. What is the units digit of 1\/4 + (a - 150\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 - -3?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5620680 and 67256?\nAnswer: 39344760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.92 + -24. Let l = q + 0.08. What is the nearest to -2\/3 in 5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108 or -112?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y. Let b(g) = g**2 - 15*g - 1. Let l(i) = 2*b(i) + 5*k(i). Calculate l(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from tttttttfttttttt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 8762 + 19435 + 11435 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekeee. What is prob of sequence kke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 3*a**2 - 3*a**2 + 5*a**2. Let k(g) be the third derivative of -3*g**4\/4 - 74*g**2. Give k(v(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159036737 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 2*g**2 - 5*g**2 + (5 - 5 + 2)*(10*g**2 + 5*g**2 - 4*g**2) + g**2 - 2*g**2 + 8*g**2 to the form t*g**2 + d*g + w and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -450*k**2 + 40*k - 11. Let m(l) = 150*l**2 - 15*l + 4. Give 3*j(g) + 8*m(g).\nAnswer: -150*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+0.824671\nAnswer: 0.624671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 662 = x + 3*x, b + x - 136 = 0. Suppose 2*c = b + 22. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(300)*2)\/(((sqrt(112)*2)\/sqrt(7))\/sqrt(8)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 0*c)*(2*c**2 + 21*c**2 + c**2).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-9 + 25 - 21) - (-68 - 22).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*u = -10*u + 112, 3*d + 5*u - 350 = 0. What is the least common multiple of d and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*m**5 + 16*m**4 + 773*m**3 - 1591430*m**2 + 2*m wrt m.\nAnswer: -3960*m**2 + 384*m + 4638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4043128*y - 1278*y**2 - 4043128*y.\nAnswer: -1278*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 - 25152\/(-192) - 1*(-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2 + 32222*c + 176773 wrt c.\nAnswer: -4*c + 32222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1244291 and 4104?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 14 + 3 - 2*f - 24 - 14*f**2.\nAnswer: -14*f**2 - 2*f - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-15))\/(((-30)\/144)\/5))\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69966468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -664658960 divided by 3535420?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-582)\/(-15) + (-1)\/(-5). Let g = -23 + q. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 27*d**2 + 13*d - 5. Is v(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 10494*r**2\/5 - 2099*r.\nAnswer: r*(r - 1)*(r + 10495)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271970, 1087907, 2447808, 4351673?\nAnswer: 6799502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 58, -3, -4, 28, -31, 3 in decreasing order.\nAnswer: 58, 28, 3, -2, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 8*j - 4. Let d be g(-9). Let p(f) = -2*f + d + 2*f + 3*f. Let t(b) = b + 2. Let l(y) = 2*p(y) - 5*t(y). Let a(s) = -3*s. Give l(a(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13696 and 9202?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, b: 2, f: 1}. Give prob of sequence bqkf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 63143978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(288) - (1*sqrt(288) + sqrt(288)))*4)\/((-1*sqrt(32))\/sqrt(4)))\/((sqrt(216)*-2 - sqrt(216))\/(1*sqrt(2)*1)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 12*x**2 + 14*x - 9. Give o(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 6644*r - 119268.\nAnswer: -(r + 18)*(r + 6626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 740000 = 8*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + r + 21 - 22 as p*r + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (3 - (7 + -1)). Solve -x = x + n*v + 4, 2*x + 4 = -3*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 141, -2685, -1 in descending order.\nAnswer: 141, 1, -1, -5, -2685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1584) + -2 + sqrt(1584))*5 + -2)**2 + 1.\nAnswer: -8640*sqrt(11) + 633925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.293?\nAnswer: 3.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4018675?\nAnswer: 5, 23, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-203) - 25\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2 + 424*v - 420 = 0. What is v?\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454 - -154?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 + 3*o - 2. Let r be n(-3). Let b = 65 + -40. Suppose -r = -2*d + b. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 164 and -38415?\nAnswer: 38579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*d = -19, 2*g + 5*d + 57 = 62 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/176052 and -71\/1056312?\nAnswer: 1056312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*p + 19, 2*q + 4*p = 3*q + 13. Let s be 4\/(-10) + (q - 135\/(-25)). Suppose -3*o + 239 + 49 = s. Is o a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -0*z + z + 4*k, 2*z + 2*k + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.17515.\nAnswer: -0.22485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -17 (b) 1 (c) -5 (d) 2\/41 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 5. Suppose 3 = -k + o. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 419 - 381. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2191\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 75 = -5*t, 5*j - 45 = -t. Let k be 4\/j - ((-12656)\/20)\/(-7). Let i = k + 109. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (0 + 0)) + (19 - (-9 - -55))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79806\/1222 - (4 - -61)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 225*q**2 + 228*q**2 - 455*q**2 + 28. Let u(i) = -3*i. Calculate m(u(o)).\nAnswer: -18*o**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2523*c + 479378. What is q(190)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l**5 + 0*l + 0 + 0*l**4 + 1\/6*l**3 + 1\/30*l**6 + 5*l**2. Find the first derivative of c(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -889259*i - 996857 wrt i.\nAnswer: -889259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322205 is divided by 180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 3\/59, -0.2, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2706 divided by -2484.\nAnswer: -451\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.32 - -0.02. Let a = 7.3 + j. Sort 3, 1\/21, a in increasing order.\nAnswer: 1\/21, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -21 - (510 - 476).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 290*h - 5395. What is l(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159747 is divided by 368.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/(-2 - 18\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 35*k**2 - 512*k - 286. Determine h(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 151 = -3*y - 3*v, 0 = -3*v + 9. Let f = y - 48. Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77186 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -0.1 (c) 3 (d) 4\/3 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 351875771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 = 2*m, -7 = 2*m - 4*m + 5*f. Find the common denominator of 65\/6 and (-55693)\/55278 + m\/18.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(-581 + 93 + 40)*(3 - 1 - 3)*(-t + 2 - 2) to v + g*t and give g.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 3.402?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f**(3\/5)*(f*f\/(f**18*f))\/f**(1\/6))**(15\/2) assuming f is positive.\nAnswer: f**(-503\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4)\/(((-40)\/(-32))\/(1444\/(-304)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13254 at most -12001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 10, z: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11428899 divided by 3?\nAnswer: 3809633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -7*o + 55*o. Let r(j) = 10*j**2. Let b be r(1). Suppose -3*a = -202 + b. What is the highest common divisor of o and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (44 + -31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/4 (b) 90 (c) -5 (d) -0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 7*i + 7. Let x be t(5). Let o(h) = h + 3. Let u be o(x). Are 1\/17 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 60701.\nAnswer: -849814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 5, e: 1, d: 2, i: 1, a: 1}. Give prob of sequence epda.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 0 - 12)*(5 - 3 - 5)*(-2*r**2 + 3*r**2 - 5*r**2)*(0*r**2 + 6*r**2 - 2*r**2).\nAnswer: -1680*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 5. Let u be (-42)\/(-11) + 2\/m. Suppose -5*s = u*n - 118 + 5, -3*s + 2*n = -59. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s. Let b(x) = -15588326*x. Calculate j(b(o)).\nAnswer: 93529956*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1008))**2 - sqrt(1008)) + -4 + -4 + (sqrt(700)\/sqrt(4) + 4)**2 + 5.\nAnswer: 76*sqrt(7) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/6 - (-2)\/4. Suppose -3*x = -v*i + 11, -2*x + x - i + 1 = 0. Let j = -128 - -128. Which is the closest to j? (a) x (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*q - 13 + 9 - 3*q)*(-4*q + 0*q + 3*q - 4 + 2*q + 4 + (2*q + 0 + 0)*(5 - 1 - 2) - 3*q - q + 5*q) in the form p + a*q + i*q**2 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -20176 and 11.579.\nAnswer: -20164.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4388 + -4385. Solve 2*i = 2*n - 6, q = -3*i + 2*n - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*10\/25 - 48\/(-20). Solve 2*h = y - 3*y - 16, 5*y + 28 = -w*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from inniiiign?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:09 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 1\/3*c**4 + 0*c + 1\/5*c**5 + 0*c**3 - 40 + c**2 + 0*c**6 - 2\/105*c**7. Factor t(a).\nAnswer: -4*a*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*q + 35, q - 5 = -t + 15. Suppose 0 = 5*z - t, -z = 5*g - 2*z + 3. Solve g = -a + 6*c - c, 0 = -4*a - 2*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 487205?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i. Let r(d) = -d + 11. Let z be r(9). Let n be g(z). Let s = n - 0. Solve -15 = -k - s*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxvvl. What is prob of sequence vlx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12213 divide 1155508569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 50 = d + 4*h, 5*d = 3*h - 44 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 3\/20*k**5 + 0*k + 0*k**3 + 0 + 2*k**2 + 0*k**4. Is p(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 27*h - 9, 2*g = -5*h + 7579. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + w = 3, -6 = r - 4*w + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*p**2 - 249*p**2 - p - 230*p**2 + p + 728*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/2894 - -1517\/28940. Let j(x) be the second derivative of 34*x + 0*x**4 - 23\/2*x**2 + y*x**5 + 0 + 0*x**3. What is the first derivative of j(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7662 - -7662. What is the nearest to c in -3, 4, -185, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117\/74 + -3\/37. Let c = 2 - y. Factor 1\/2*d + 0 - d**2 + c*d**3.\nAnswer: d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {s: 1, o: 1, d: 2, g: 1, b: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 130*p**2 - 1521*p - 131*p**2 + 1595*p. Let f(a) = 21*a**2. What is k(f(g))?\nAnswer: -441*g**4 + 1554*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 23 - 4*s**2 + 14.\nAnswer: -s**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-24)\/18)\/(-4)). Let d be i\/(-10) - 9\/45. Sort -2\/17, d, -1.4 in ascending order.\nAnswer: -1.4, d, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from sbbbmemmeses.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from ddxdxddoz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/8 + (-9)\/(-3). Suppose 0 = -5*t - 0*m + 2*m - 25, -3*m + 12 = t. What is the nearest to y in t, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -440238, -880476, -1320714, -1760952?\n\"Answer: -440238*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -2954, 11 in increasing order.\nAnswer: -2954, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 12*n**2 - n + 10. Let f be t(-12). Suppose f - 2 = 4*k. Suppose -k*c + c = -84. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:26 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541534, -541539, -541544, -541549, -541554, -541559?\nAnswer: -541564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073, 598, -223, -1414, -2999, -5002, -7447?\nAnswer: -10358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + (sqrt(2736) + 2)**2 + (-1*sqrt(2736))**2 + -3)*-1*-3*2 + -5.\nAnswer: 360*sqrt(19) + 32839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -55 (c) 1473 (d) -2\/5 (e) -0.23 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-138)\/(-115))\/((-18)\/1200).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v + 42 = -10*v - 92 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 324\/10 + (-24)\/(-40). Suppose h = -5*f + 83. Let q(p) = -6*p + 4. Let o be q(-6). Calculate the greatest common divisor of o and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*n = 1758, -12*u - n - 350 = -13*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5463*t - 120. Let z be g(4). Let n = z - 2173177\/100. What is the common denominator of n and 1\/110?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 5*p - 3*p - 2*p + 4*p - 3*p + (-1 + 1 - 2)*(-12*p - 8*p - 5*p) - p + 0*p + 0*p to the form n + o*p and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -446*o**2 + 16*o + 4.\nAnswer: -892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 2*d - 1. Calculate g(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 41*b**2 + 24*b - 13. Give q(-20).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.162913 millennia in centuries?\nAnswer: 11.62913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 544124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 14*y**2 - 16*y - 40. Calculate w(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3318 - 4873. Let k = -565 - j. Round k to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from jkffwjfffffpufjjfj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109567797.\nAnswer: 3, 36522599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*k - 90*k + 13804. Let y = 495 - k. Let a(q) = -76*q**3 + q**2 + q. What is the least common multiple of a(-1) and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 135, 127, 103, 57, -17, -125, -273?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/148 and -29\/692?\nAnswer: 25604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**5 + 4409*q**4 - 1644183*q**3 + 256268*q**2 + 6576636*q - 1095616 = 0.\nAnswer: -1007, -2, 1\/6, 2, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 15*k - 55 to a*k + m and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 11. Let o be (-2)\/x - 170\/(-7). Calculate the highest common divisor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 16*a + 5. Let z be h(-16). Let u(n) = -n**3 + 5*n**2 + 3*n + 2. Let p(o) = 2*o**3 - 9*o**2 - 5*o - 4. What is z*u(q) + 3*p(q)?\nAnswer: q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3)*(2*b - 4*b + b) + (-5 - 1 + 0)*(-19*b + 111*b + 73*b) as l*b + f and give l.\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-116)\/(-10)*(-10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/420)\/(2*(-21)\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319, -773, -1271, -1813, -2399, -3029?\nAnswer: -3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107951 - 107940.50196. Let u = 10.5 - k. What is u rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 3*u**2 + 0*u**5 + 1\/60*u**6 - 1\/210*u**7 + 0*u - 1\/12*u**4 + 1\/6*u**3 + 0. Find l such that v(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 3874*t - 386*t + 352*t + 1890*t.\nAnswer: -t**3 + 5730*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172759150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215165 and 2415.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11 + 6*w - 4*w - 8.\nAnswer: 2*w - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667372?\nAnswer: 2, 3, 19, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 16*z + 552. Calculate the highest common divisor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39556116 is divided by 1364004.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1950550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -b34c7?\nAnswer: b34c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -207, -1644, -4355, -8346, -13623?\n\"Answer: -w**3 - 631*w**2 + 463*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 767, 1532, 2297, 3062, 3827?\n\"Answer: 765*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*d - 13*d**2 + 36*d)*(0*d**2 - 3*d**2 + d**2).\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 484442.\nAnswer: -484445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*p**3 - 7*i**2*p**2*t + 2*i*p**3 - i*p**2*t - i*p**2 + 44*p**3 wrt i.\nAnswer: 10*p**3 - 14*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1887, 3778, 5669?\nAnswer: 7560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 466?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*f**2 - 4*f**2 + 2*f + 11*f**2)*(13 + 15 + 15).\nAnswer: 903*f**2 + 86*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgzjgbbgjzjjzj. What is prob of sequence gj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 4*s - 6. What is w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78192649?\nAnswer: 53, 197, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3741 + 75. Calculate the greatest common factor of 48 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-326)\/(-326)*(-2)\/2*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-3 + 4)*-69. Differentiate -w + 11 - 54*a - 6 + a with respect to a.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 790 (base 15) to base 10\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 21 = 0. Suppose 0 = 4*t - 3*d - 17, 0*d = -2*t + 3*d + c. What is the least common multiple of t and 2 - (-2)\/((-4)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(153)*-5 + sqrt(153) + 6*(sqrt(153) - 1*sqrt(153))))\/(-4*sqrt(324)*-3*3).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 487 = 480. Which is the closest to j? (a) -0.2 (b) -3\/4 (c) -2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 9. Suppose -4*h + 5*h - w = 0. What is the third derivative of -3*v**2 + 0*v**2 + 0*v**3 + v**3 + 2*v**h wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 80516.\nAnswer: -57\/80516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) -3392 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from wyy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1246483 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgozzoomopzozggnpz. Give prob of sequence gz.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.6. Let h be (-1466)\/(-7) + 1 - 0. Let n = h + -210. What is the second smallest value in -4, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2596101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 305774071873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -572 - -243. Let v = -329.0000133 - o. What is v rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - a**2 + a - a**2 - 4 + a**2. What is v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9570 or -978?\nAnswer: -9570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - -4 - (9 + -5 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38129?\nAnswer: 7, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 113*r**6\/2 - 161*r**3 + 72. What is the third derivative of c(l) wrt l?\nAnswer: 20340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9467*f - 141772. Give m(15).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Let s be (-612)\/(l\/8*8\/(-24)). Suppose 2*w + w + 3*h = s, -2*h - 801 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -577387*c**2. Let x(f) = 2*f. Give x(t(d)).\nAnswer: -1154774*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 40610910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350783615?\nAnswer: 5, 470156723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 4\/7 (c) -0.09 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2475*q - 2469. What is p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*m**2*y**3 - 20*m**2 + 131*m*y**3 - m*y + 5*m + 11 wrt m?\nAnswer: -956*y**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 7*k + 7. Let a be x(1). Solve d + 35 = -a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6575481 and 891?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 4*y = 20, 2*g - 108*y + 103*y + 25 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)*p**(-27))\/((p\/p**(4\/5)*p)\/(p*(p\/(p*p*p**(2\/55)))\/p)) assuming p is positive.\nAnswer: p**(-1652\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*l + 3*x - 19, -4 = 4*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1577805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-27))\/13*30*51\/5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -g + 2, 4*d = -5*g - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 68 = 2*g - 252, 2*u - g = 178. Suppose -720 = -3*m + 2*h - u, 0 = -m - h + 215. Suppose -w + 5*w = m. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 254305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72094.\nAnswer: 2, 11, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539)*2 + -3))**2 + 4 + sqrt(539) + (sqrt(539)*2 - sqrt(539))**2 + (-3*sqrt(539) + 0)*1.\nAnswer: -56*sqrt(11) + 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-1776)\/(-528))\/37)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i**2 - 2 + 2*i**2 + 13*i**3 - 26*i**2 + i - 4*i**3 as r*i**3 + w + a*i + z*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10681566 by 14.\nAnswer: 762969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k. Differentiate 0*u**3 + 1 + 3*u**4 + k + 0*u**3 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/120*1326\/85\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57\/12 - ((-2)\/10 - 15\/300)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**5 + i**4 + 2*i**3 - i - 1. Let j(o) = 22*o**5 - o**4 - 37*o**3 - 1285*o + 1. Let v(l) = a(l) + j(l). Find the second derivative of v(h) wrt h.\nAnswer: 460*h**3 - 210*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24144\/503 - (-3 + 1 + 3).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -100\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 81 + 128 = -41 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = 6. Suppose 0 = 119*f + 3*f - 19 - 591. Solve 5 = r*u - f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 + 4*s**2 - s. Let g be j(3). Let z = g + 275. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60 - 25*m**2 - 5*m**3 + 18*m**2 + 20*m + 22*m**2.\nAnswer: -5*(m - 3)*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n - 3*n**2)*(-8*n**3 - 12*n**2 + 12*n**2 + (0*n**2 + n**2 + n**2)*(-n + n + 2*n)).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*h**2*j**2 + b*h**2 + 94*b*h*j**2 - 11*b*j - 20*b - h**2*j**2 wrt j?\nAnswer: -2*b*h**2 + 188*b*h - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63362 - 5838 = 2768*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 2. Suppose 15 = n - 3*a, 0 = -2*n + a - 3 + 8. Let x = 4 - n. Suppose -6*m = -4*y - m + 18, 4*m = x*y - 16. Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1100 + -11?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*q - 5*w, -10 = 3*q + 4*w - 0*w. Let t be (-130)\/q + 8\/24. Solve -4*c = -5 - 3, 5*s = c - t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 7 = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -268192 and -0.4.\nAnswer: -268192.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/420*14)\/(9\/(-5)))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {o: 6, x: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143? (a) -5 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -932*v**4*y**2 + 592*v**4*y + v**2*y**2 - 3*v**2*y + v*y**2 - 9785*y**2 wrt v?\nAnswer: -22368*v*y**2 + 14208*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8729598 - -8406601939\/963. Let w = d + -15\/107. Let o = 0 + -1. Are o and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiac when four letters picked without replacement from eicceira?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111101110 + -1000100?\nAnswer: 1010110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/2*n**3 - 6*n**4 + 3\/2 + 3\/2*n - 27\/2*n**2.\nAnswer: -3*(n - 1)**3*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*x - 4*k, -3*k + 7 = -4*x + 51. Suppose 0 = -4*n + 39 - x. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*3 + 2 + (sqrt(288)*-2 + sqrt(288))**2 + -1 - 1*((-2*(sqrt(288)*-2 + sqrt(288) - sqrt(288)) - sqrt(288)) + -2*-1*sqrt(288) + sqrt(288))**2.\nAnswer: -10079 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/7, -5, 1\/3, -0.0803 in increasing order.\nAnswer: -5, -0.0803, 0.1, 1\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -0*r. Suppose -3*j + 99 = 5*d, -7*j + 3 = d - 12*j. Calculate the remainder when d is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86\/7 - 88\/7. Suppose -10 = -8*g + 22. Let o be 18\/15*g\/8. Put o, b, -1\/6 in increasing order.\nAnswer: b, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-30)\/560)\/((-12)\/(-8))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + o = -m + 1451, 0 = 5*m + 2*o + 1830. Let s = 3272\/9 + m. Which is the second biggest value? (a) s (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2\/13, -1\/7, -0.1, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 25*h + 7. Let w be s(-3). Let z = 146 + w. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 + 14444*m**2 - 1850907*m - 5682690 = 0.\nAnswer: -14571, -3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1056 + -1061. Let f(w) = 17*w**3 - 5*w**2 - 5. Let t(n) = 9*n**3 - 3*n**2 - 3. What is p*t(s) + 3*f(s)?\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266353 is divided by 44392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*k, b + 49*k = 50*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2\/7*d**3 + 2\/7*d**2 - 1\/7*d**4 - 6\/35*d**5 - 1 + 0*d. Solve i(o) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3608*g = 19791 - 84735 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 289, 301, 317, 337, 361, 389, 421?\n\"Answer: 2*y**2 + 6*y + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = 5. Suppose 0 = l*o + o + 300. Let w = o + 108. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 9:51 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 + 6*k. Let y be i(4). Let a be ((-15)\/(-3))\/y + (-55)\/(-8). Solve 0 = 5*r - a - 8, 2*j = 3*r - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.689 * 1.65\nAnswer: 29.18685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 84596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21958.6715 rounded to the nearest 10?\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2100 = -94*o - 65*o + 9*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**4 + 2*h + 1. Let c(w) = 2*w**3 - 6*w**2 - 12*w - 5. Let i(x) = -2*c(x) - 2*u(x). Factor i(k).\nAnswer: -4*(k - 2)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let c be (50\/(-20))\/(3\/(-18)). Let r(v) = 9 + 11*v + 11 - c. What is r(t(d))?\nAnswer: -11*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3053 times 0.1?\nAnswer: -305.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1483*y**3 + 1489*y**3 - 2974*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 66 = -16*n - 3*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144623 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-3*sqrt(2) + sqrt(2) + sqrt(2)) + (sqrt(33) - sqrt(198)\/sqrt(6)*5))\/(sqrt(432) - (2*sqrt(432) + sqrt(432))*1 - sqrt(432)*2*4).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 8*s + 9. Let y be h(7). What is the third derivative of -n**2 - 4*n**2 + y*n**4 + 3*n**4 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 6*x - 1. Let k(w) = -9*w**3 + 2*w**2 - w - 2. Let i = 27 - 28. Let r be k(i). Suppose -r - 10 = 5*s. Give b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 59844 = 2*c - 4*g, 4*c - 3*g = 119688. Suppose -16*d - 9826 = -c. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*u + 131*u - 3*d + 10688, 4292 = 2*u - 3*d. What is u rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7460*o + 7459*o = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13806485?\nAnswer: 5, 7, 11, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15315213*h**3 - 15*h**2 + 318598?\nAnswer: 91891278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, o: 2, u: 3}. Give prob of picking 1 w, 1 u, and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-15) + 120\/(-9). Let o = -108 - 4. Calculate the remainder when (-6)\/v - 2528\/o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 3}. Give prob of picking 2 f and 1 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 4. Let f(p) = 2*p + 4. Let k be f(z). Suppose -k*u = -10*u - 96. Solve -m = m - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)\/(f*f**(-3\/8)*f))**(-35)*((f\/((f*f\/f**(-2))\/f))\/f*f)**19*(f**(1\/3)\/f)**(-5\/7) assuming f is positive.\nAnswer: f**(7661\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 6*c + 7353 - c - 7353.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -4, -0.3, 4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-8 + (-8 - -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 39. Let x = 17 - f. Let q = -14 + x. What is the biggest value in q, -2\/5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 675*p**3*s**4 + 42*p**3*s**2 + 2*s**2 wrt s?\nAnswer: 16200*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(175) + sqrt(28)\/sqrt(64).\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {i: 1, g: 2, v: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, f: 7}. What is prob of sequence fwnn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + 4\/(-18). Suppose -4*q + 6 = 3*p - 40, t = -2*q + p + 18. Let i = 133 - 53. What is the highest common divisor of i and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**3\/3 - 4*k**2 - 2*k - 9. Let m be v(-6). Sort 5, m, 1 in increasing order.\nAnswer: 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3 + 7)*-1. Let z = -3 - -1. Let x be z\/(-3) + (-16)\/(-3). What is the greatest common factor of q and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21302 (base 4) in base 6?\nAnswer: -2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwgyyqzzzwzyqz. Give prob of sequence ww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:24 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:02 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258698 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/20960 and 87\/146720?\nAnswer: 146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, o: 1, d: 1, z: 1}. Give prob of sequence zds.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 72179846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -35. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 3*y + 3. Let u be l(-4). Let g be u\/23 - 4\/5. Which is the second biggest value? (a) -1.1 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83230879.\nAnswer: 383, 217313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*3*2. Let v(h) = -h - 1. Let j be v(k). Suppose j*a + 0*a = 10. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6384 and 11248.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378217320.\nAnswer: 2, 5, 47, 2328839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/198762178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -r. Let h = 40 + -32. Let d = h - r. Calculate the remainder when 25 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58802 + -116)*2\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 6381712 + 5598*k**3 - 6381712 to the form n + d*k**3 + q*k + x*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.940532 + 374.6359?\nAnswer: 364.695368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l - 2*a, -2*l - 3*a = 0. Suppose l = -8*c + 3*c + 85. Calculate the highest common divisor of c and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + 1*sqrt(847))*4 + (4 + sqrt(847)*-1 - 2*(sqrt(847) + -1)))**2*5.\nAnswer: -39930 - 14520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34668 + -13284. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(66)\/sqrt(6)) + sqrt(352)\/(2*sqrt(8)).\nAnswer: 3*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656715?\nAnswer: 3, 5, 43781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*d - 193 = 1568, 3*i + d - 5228 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -3214203?\nAnswer: 3214204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.418 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5 - 3 + 1651*d + 2 - 2104*d - 1. Let w be t(-2). Round w to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + 23\/7. Suppose -y + 2*z = 6, 5 = -r*z + 17. Let f be 0 + 1 - (-3 + y). Which is bigger: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 4. Solve 1 = -4*k + 3*d - 6, 0 = -z*k + d + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/181, 2\/5, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.02, 6\/19, 1 in descending order.\nAnswer: 1, 6\/19, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -1152, -3930, -9350, -18294, -31644, -50282, -75090?\nAnswer: -106950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -24.78. Let g = -2.22 + l. Sort 0.1, -2, -0.5, g.\nAnswer: g, -2, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 106638277 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -576 - -7. Let i = -572 - s. Sort 5, 51, i.\nAnswer: i, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-27))\/(-14*(-6)\/126). What is the closest to 0.2 in -3, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let u(q) = -2413*q**2 - 5745*q**2 + 1478*q**2 + 14*q**2. Determine u(a(r)).\nAnswer: -26664*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928 divided by 807?\nAnswer: -976\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -20*f**2 - 19*f - 4. Let u be l(-2). What is the tens digit of 4\/u - (6 + (-624386)\/322)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22961 - 321211 = -56*w + 619364. List the prime factors of w.\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w)*(21 - 4 + 24)*(0*w - 2*w - w).\nAnswer: -246*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488*b - 70 = 1502*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3350.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 2, 4, 15, -397, -4 in increasing order.\nAnswer: -397, -19, -4, 0, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -24*d. Let a = 122 - 152. Let q be a\/105 + (-18)\/(-14). Determine n(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 591426*z\/7 - 1182840\/7.\nAnswer: -3*(z + 2)*(z + 197140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24386 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13073*a**4 - 153*a**3 + 51*a - 21250. Let z(r) = 523*r**4 - 6*r**3 + 2*r - 850. Let d(c) = 2*l(c) - 51*z(c). Find the first derivative of d(y) wrt y.\nAnswer: -2108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*v**4 + 13*v**2 - 29404*v**3 + 2 + 29403*v**3 + 6*v**4 + 16*v to d*v + g*v**4 + w + f*v**2 + r*v**3 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 - (168226\/699 + -388)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3634875 divided by 135.\nAnswer: 26925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + 1. Let u = m - 52. Let l(v) = -2*v - 4. Let w be l(-4). Which is the nearest to -0.1? (a) w (b) u (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14760*y**2 + 14760*y**2 - 7*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -311.7 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/3 (c) 1\/342038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1953, -1954, -1955, -1956, -1957, -1958?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5400*b**2 - 216000*b + 1\/4*b**4 + 3240000 - 60*b**3.\nAnswer: (b - 60)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82924173 to the nearest integer?\nAnswer: 9106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5289 divided by 41\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 2.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 4. Let j(t) = t + 1. Calculate -j(d) - y(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 9. Suppose -2*s - 2*s - 4*l + 36 = u, 21 = -s + 5*l. Suppose -p - 4 + 15 = -s*n, 22 = 2*p + 2*n. Calculate the highest common divisor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3186256 = -14*s + 4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 i when four letters picked without replacement from {e: 11, i: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/90 - 2*r**3\/3 - 11*r. Let d(c) be the second derivative of k(c). Let u(n) = -n**2. Calculate d(u(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -12 (c) 4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 3, -0.03, -56?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 40*a**2. Let f(q) = -22612*q + 22609*q + 2 - 2. Give f(v(j)).\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40447, -4 in increasing order.\nAnswer: -4, 4, 40447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let b(l) = 6*l + 1. Let v(z) = -z - 2. Let r be v(-7). Let s(d) = r*h(d) + b(d). What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/7 - 1180*u**2 - 11812*u - 132320\/7 = 0 for u.\nAnswer: -8, -2, 8270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*q - 8, 4*n - 5*q - 17 = n. Let t be -1 + n - (-11 - 1). Let s = -2 + t. Calculate the highest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 40*x**2 - 48*x + 349. Let g be s(39). Let l(n) = 6*n**3 - 3*n**2 - 2*n. What is l(g)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 36. Let r be b(-5). Let f(i) = -i**2 + 4*i - 3. Let n be f(3). Solve n = r*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 19. Is v\/(-15) - (-3347)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 4, x: 2}. What is prob of sequence gj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1 + sqrt(17))*-2 - sqrt(17))**2 + -2 + sqrt(2057)*-2 + 3.\nAnswer: -22*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9252 (b) -4 (c) -1\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -60, -190, -444, -864?\n\"Answer: -7*x**3 + x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558.0582 decades to years.\nAnswer: 5580.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**3 + 21*h**2 - 21*h**2 + 2*h as k*h**3 + c + l*h**2 + r*h and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 544943 > 546824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453.2 plus -42231?\nAnswer: -43684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 0.3, -1026, 4.\nAnswer: -1026, -1\/12, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75681, -151361, -227041, -302721, -378401, -454081?\n\"Answer: -75680*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 376\/32. Suppose -7*z = -a*z - 0*z. Let k be (3 - 3 - 0)\/(z - -1). Sort 0.06, k, 3.\nAnswer: k, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 178637, 357336, 536035, 714734?\n\"Answer: 178699*i - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 30, 49?\n\"Answer: 19*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(0 - 8). Let a be (2 - (0 - o)) + -34. Let p be (-2)\/(((-40)\/a)\/(-5)). Solve 4*z - p = 7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 471 and 9104587?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 15*r**2 - 13*r + 30. Let y be u(8). Which is the smallest value? (a) 0.4 (b) y (c) -1.7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 658.\nAnswer: 1\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 14*m - 60 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 6, 0 = 2*v + 2*n - 10. Let s(m) = 1. Let j(o) = -o**3 - 8*o**2 + 9*o - 3. Let d be j(-9). Let a(f) = -2*f + 2. Give d*s(p) + v*a(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 5. Let g = t + -5. What is the second derivative of 3*p + 3*p + 5*p**5 + g*p - 5*p wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - 2.5. What is the nearest to 0.1 in 3\/4, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*x - 28, 5*m - 370 + 385 = -5*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6378 is divided by 155?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -30, -1, -2, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 20 + -25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1363 + 1583. Suppose -5*y = -f - 283, -3*y - 110 = -5*y + 2*f. Calculate the remainder when x is divided by y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, -487, -1708, -3973, -7600, -12907, -20212?\n\"Answer: -53*x**3 - 45*x**2 + 11*x + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = -0*v + 5*l, -2*l - 6 = 0. Suppose -g + 6 = v*g. Solve 4*c - 20 = 0, 0*b + 5*b + g*c = 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28984261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 54, -2\/15 in decreasing order.\nAnswer: 54, 0.05, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (6 - 11)) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.06 + 26. Let o = 0.56 + x. Which is the third biggest value? (a) -1\/9 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -70, 4, -1 in decreasing order.\nAnswer: 4, -1, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 4*j**4 - 3*j**3 + (3*j + 41*j + 21*j)*(j**2 - j**2 - 2*j**3).\nAnswer: -126*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6\/1080 - s**5\/60 + s**4\/8 + 4*s**3\/3 - 2. Let d(r) be the third derivative of a(r). Factor d(x).\nAnswer: (x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from cccss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*n = 31, 4*n - 16 + 69 = -3*s. Let q = 1 - s. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1574*x + 1585*x + 3*h + 13 = 3158*x, -3*x = 18*h + 57 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14633 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 28.53.\nAnswer: -33.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -8245, -4, 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eycei. What is prob of picking 1 c and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 7:11 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(22 - 2)\/(-2). Let n = i + -6. Let t(a) = 0 + 3*a + 2 - a**2 + 0*a**2. Determine t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75423 * -0.02.\nAnswer: -1508.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -52. Let l be (w - 102\/(-12))\/((-2)\/(-16)). Solve 0 = c + d + 9, -2*d - l = 2*c + 2*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2)\/sqrt(12) + (-2*sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(9) + -3 + (sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(88)\/sqrt(2).\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 2\/17 (c) -2 (d) -13 (e) -5 (f) 49103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 202, 299, 396?\n\"Answer: 97*j + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -42, -112, -240, -444?\n\"Answer: -3*g**3 - 2*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594541 is divided by 144955?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k + 319. Determine y(-33).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 748 times 0.1\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 0*s**2 + s**2 + (-6*s - 2*s + 4*s)*(0 + 0 + 5*s).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2\/(-4) + 1). Let p = -2377.4 - -2377. Let u = -1.3 + 0.3. Which is the nearest to u? (a) s (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7575640 is divided by 344346.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let f = -2.3 - c. Let d = 0.18517 - 0.08517. What is the biggest value in -2\/9, f, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 56*x**2 + 85*x + 1740. Determine t(58).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 2 + 0 - -3) + -154 + 153?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/6, 0.3, 45, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -43 + -40 + 20?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 73*b + 3 - 3 + 2 in the form g*b + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let c(s) = 398*s**2 + 37*s. What is o(c(p))?\nAnswer: 398*p**2 + 37*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*c + 179 - 179 to the form k + y*c and give y.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.188, 1, 1\/3, 3\/124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 4, -109 in descending order.\nAnswer: 181, 4, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-40700)*251522\/72. Let x = t - 1\/18315. What is the common denominator of x and 29\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/7 - (-170)\/595. Suppose -51*q - 19 = -v - 47*q, j*q + 21 = v. Calculate the highest common divisor of 253 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 109*r**2 + 468*r + 50. Calculate a(-4).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.3, 10\/57, -1, 28, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2084?\nAnswer: -4168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 4, -5.972 in descending order.\nAnswer: 4, 0.05, -5.972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 168, 425, 838, 1437, 2252?\nAnswer: 3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50578 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 16*d + 38. Determine q(16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**13*((i*i\/(i*i**(-2\/19)*i))\/i)\/i assuming i is positive.\nAnswer: i**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 225731 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -636735 times 108?\nAnswer: -68767380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)*(-132)\/(-176)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + -4 + 5 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -39.\nAnswer: -32\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/49)\/((-351)\/819)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -74. What is the remainder when 31 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q - 5. Let f(a) = -11*a - 91. Let n(u) = 6*u + 36. Let y(k) = -2*f(k) - 5*n(k). Calculate 6*p(w) + 14*y(w).\nAnswer: -16*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:25 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 0*p**2 + 0*p**2 + 3*p**3 - p**3 - p**3 + (-p + 3*p - 3*p)*(3*p**2 - 2*p**2 - 3*p**2) + 5*p**3 - 18*p**3 - 39*p**3)*(6 - 1 - 3).\nAnswer: -102*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(22\/4)\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from sssrsssr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 22*b - 2. Let r be s(11). Let v(j) = 4*j + 1. Calculate v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -352 - 74*g**3 + 352 + 3*g**4 + 75*g**3 + 50*g as q + u*g**3 + t*g**4 + j*g + p*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 896633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 a factor of 29428684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7606 + -7582. Let t be 3 + (0 - (-3 + 2)). Solve -8 = t*a - k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 4:57 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - -20 - 301\/28. Let t = 2.3 + -2. Let s be (-30)\/7 + 2\/7. Which is the nearest to p? (a) t (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-40)\/15 + (3 - 2)). What is the fourth biggest value in -0.1, 5, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342 + -89. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 2*n + 2*n, -9 = -3*n - 3*r. Suppose -3*d - 2*q = -2*d - 20, -n*q + 15 = 0. Let g(c) = 2*c**2 - 7*c - 11. Does 17 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 72 - 32 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155798708 and 29961290.\nAnswer: 778993540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1054 + 0.1124. Which is the third smallest value? (a) 0.5 (b) -2\/21 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97206\/(-291618))\/(((-2)\/12)\/(2\/(-52))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 825*l + 837*l + 0 + 0 to n*l**2 + i*l + h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-156)\/147)\/(-52))\/((-3)\/14)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 1, 11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/4285 + -171442\/89985. Let p = -6444 + 58070\/9. Calculate the common denominator of p and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, y: 6}. Give prob of sequence yoy.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11453795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -14\/735919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + -1 + -4 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 12*q**2 - 4*q + q + 0*q**2.\nAnswer: -10*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 55*t**2 - 3166*t**3 + 157*t**2 + 1573*t**3 + 137*t**2 + 1576*t**3.\nAnswer: -17*t**3 + 239*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 + 2*k**2 + k + 2. Let f(q) = q**3 - q**2 - 1. Let g = -1 - -2. Let i(j) = g*h(j) + 3*f(j). Is 3 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4452 divided by 13.\nAnswer: -4452\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3599*j - 18398. Give n(-5).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*y**3 - 66 + 2\/5*y + 66*y**2 = 0 for y.\nAnswer: -1, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 1\/24*g**4 - g**2 + 0*g + 7\/6*g**3 + 0 + 1\/60*g**5. Let j(u) be the first derivative of c(u). Give j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1488\/(-36))\/(7*(-90)\/(-945)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 11:50 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3142375 and 35075?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7613095, 7613096, 7613097?\n\"Answer: s + 7613094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*p**2 + 4045*p - 835*p - 391*p**2 + 2721*p.\nAnswer: 2*p**2 + 5931*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)\/j)\/j*j\/(j*j**(-3))*j**(2\/5)\/(j*j\/(((j\/(j*j**(-5\/3)*j))\/j)\/j)))**40 assuming j is positive.\nAnswer: j**(-472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 604712 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 16. Give v(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = -10*v + 77 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/((-42)\/28). What is the closest to -5\/6 in 4, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4956 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084149?\nAnswer: 3, 11, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13857281.\nAnswer: 13857281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194011553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 54*q**2 + 1004*q - 44. Determine m(-19).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*u**3 + 37*u**2 - 3*u + 15515 wrt u?\nAnswer: -60*u**2 + 74*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-42 - (-4 + 2)) - (37 - -90 - 120).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/2700 and 179\/37283100?\nAnswer: 335547900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*u + 24, 6*u = 10*u + 4*n - 32. Suppose -6*k - u = -26. Suppose s - 4 = 0, -2*z + k*s + 1 = -3. Solve -t + z = 2*t + l, -l = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*d = -180*d + 123 + 3 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(1\/(-3))*153\/(1348848\/580)\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 2*y**4 + 1 + 0 + 9*y - 7*y to the form w*y**4 + i + l*y**2 + m*y**3 + c*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 80745*g**2 - 161505*g - 80755.\nAnswer: 5*(g - 16151)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 69762*c**4 - c**3 - 87220937*c**2 wrt c?\nAnswer: -60*c**2 - 1674288*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 13*w**2 - 23*w + 18. Suppose 2*x - 7 = -g, 4*g - 352 + 298 = 5*x. Calculate f(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -134. Let s = h + -81. Sort s, -3, 0 in descending order.\nAnswer: 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/16 (b) -2\/7 (c) -0.4 (d) 4 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-21)*3). Let d = b - 7. Suppose 0 = -d*w + 5*w - 395. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 65408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(2 - (-9)\/(-6)). Put p, 0.3, -1\/4 in descending order.\nAnswer: 0.3, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 1.06160182978528.\nAnswer: 1.26160182978528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3053 times -0.06\nAnswer: -183.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (0 - (-8)\/(-4)). Suppose -10 = -f*w, w = v - 3*v + 46. Let l(d) = 17 - 60 + v + 17 - 5*d. Calculate l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 0*p - 630 = 0. Let z = p - 47. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*b + 13 + 2 + 6*b to q + f*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 173*a**2 - 1 + 170*a**2 + 1 - 338*a**2. Let p(b) = 16*b. Calculate s(p(r)).\nAnswer: 1280*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2454948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 9 = -3. Let h be (2\/(-3))\/((-1)\/(-6)). Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-3 + -2 + (sqrt(117) - 1*sqrt(117)*-5 - (1 + sqrt(117) + -5))))**2.\nAnswer: -600*sqrt(13) + 73141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(18\/7)*p)**(-1\/17))**30)**(6\/5) assuming p is positive.\nAnswer: p**(-900\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1\/7, 20\/23, 2\/15 in descending order.\nAnswer: 4\/3, 20\/23, 2\/15, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 less than 17715.3?\nAnswer: 17938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 113 (c) 0.61 (d) -41 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/18 or -8\/3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/883134 and -85\/71883?\nAnswer: 6181938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b = -a - 5 + 3. Let l = a - -11. What is the greatest common factor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (-10 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 9 + 1)*((-1 - 3 + 5)*(0*w - w + 3*w) + w + 1 - 1 + (-19 + 6 + 10)*(-w + 4*w + 0*w)).\nAnswer: 114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 - 1.310945852937.\nAnswer: 241.689054147063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4000))\/(sqrt(96)\/sqrt(192)) - (-3*(0 + sqrt(720) + -2 + -2))**2.\nAnswer: -6624 + 784*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 19*r - 4. Determine v(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by -367850.\nAnswer: 103\/367850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:16 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00253468 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.37 and 6.\nAnswer: 8.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 0.12311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*c + 1, -4 = -i - 5*c + 3*c. Suppose -4*g + 2*g = 10. Let a be (48\/36)\/((-2)\/6). Put g, i, a in increasing order.\nAnswer: g, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (8 - -20) - 53) + 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 65492091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c. Let t(g) = 5*g**2 - g + 1. Let k(a) = -15*a**2 - 4*a + 4. Let x(z) = k(z) - 4*t(z). Determine w(x(r)).\nAnswer: 350*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 96.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 295152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-4))\/(5\/40 + 0). Suppose 0 = -3*c + l*u + 19, -4*c = -c - 4*u - 17. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-15.1.\nAnswer: 105.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1110*u. Let a(x) = 2*x. Give p(a(c)).\nAnswer: -2220*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 860?\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*p**3 - 1462 - p**2 + 12*p**3 + 4382 - 1461 - 1457 to s*p**2 + w*p + o + z*p**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose 15*v**2 + 2*v**2 + l*v**2 - 6*v**2 + 20*v + 6 = 0. Calculate v.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h. Let f(z) = 3*z + 5. Suppose 0 = -5*q - 4*k + 13, 5*q - 2*k - 19 = 12. Let n(y) = 10*y + 16. Let t(v) = q*n(v) - 16*f(v). Give t(w(c)).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -463*n**7\/42 + 94*n**3\/3 + 175*n. Find the second derivative of a(q) wrt q.\nAnswer: -9260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17981*o**5 + 33*o - 10?\nAnswer: -359620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h = 63*h - w + 5 - 8, -3*w = 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 957*k**2\/2 - 2036*k + 1212. Differentiate w(g) wrt g.\nAnswer: 957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f - 167 - 283. What is the remainder when 41 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96303 to the nearest one thousand.\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -226834201 divided by 79\nAnswer: -2871319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05167 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 33. Suppose -16*r = -q*r + 4. Suppose -3*f - 88 = -5*d, 4*d - d = -3*f + 72. Calculate the greatest common divisor of r and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 271?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -5 (c) 1\/6 (d) -3 (e) 16 (f) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047*z + 5032 = -26*z + 1579*z - 84*z. Determine l, given that -189\/2*l + 11907\/4 + 3\/4*l**z = 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, 0, 5, -3, 1 in descending order.\nAnswer: 192, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -7*j**6\/120 + 5*j**3\/2 - 6*j**2. Differentiate y(z) wrt z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n = 27273 + 61263. List the prime factors of n.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 22*q - 21 = -18*q, 7*q = -3*m - 54 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.113, 5, 3, -3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 3)*(-10*h**2 + 5*h**2 + 24*h + 6*h**2).\nAnswer: -2*h**2 - 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*m - 4839 - 94591. Let p(n) = n**2 - 3*n + 4. What is the remainder when m is divided by p(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6575 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2. Let c(x) = -8411*x**2. Calculate q(c(s)).\nAnswer: -212234763*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19217079 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: Which is the nearest to -12? (a) 2\/11 (b) 3 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 31*z**3 - 5*z**2 - z - 2. Let x be n(4). Suppose 0 = h - 6*h - 25, 3*d - x = -5*h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*g - 1 = 0, 89*x - 5 = 94*x + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.2 in 13, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256136 or 7199?\nAnswer: 7199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/15)\/((-4)\/(-5)). What is the nearest to -1 in w, -2, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010000000110011011000100100?\nAnswer: 1010000000110011011000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -92*g. Suppose o - 14 = -0*o. Let a(q) = q - 14. Let j(h) = 17 - 24 + 9. Let t(y) = o*j(y) + 2*a(y). Determine t(s(m)).\nAnswer: -184*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y. Let f(b) be the third derivative of 0*b**3 + 0 - 13\/8*b**4 - 16*b - 12*b**2. Determine n(f(q)).\nAnswer: 351*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-924672)\/53865)\/32 - (-4)\/(-54). Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2443 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnmnnnnnnmnnnnnn. What is prob of picking 3 m?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and -3.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*d**2 + 168*d**2 - 679*d**2 + 6876*d**3 + 167*d**2 + 177*d**2.\nAnswer: 6876*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 10. Give r(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/37)*q)**(1\/83)*(q*q\/((q*q*q*q*(q*q\/q**(-11)*q)\/q*q*q)\/q)*q)\/(q*q*q\/(q**(-8)*q)) assuming q is positive.\nAnswer: q**(-76703\/3071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 35\/563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 2, j: 1, m: 2, f: 1}. What is prob of picking 1 w, 2 m, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-23 - (-14 + 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 + 8*o + 9. Let y be m(7). Let f = y - 14. Calculate the lowest common multiple of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/38964435 and -61\/135?\nAnswer: 350679915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-5)\/(45\/(-2)). Suppose -j - b - 3*b + 9 = 0, v = 3*b - 6. Solve -n = -0*n - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 877.1 + -947. Let g = -70 - c. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/8 + 69*i**4\/8 - 177*i**3\/4 + 36*i**2 = 0. What is i?\nAnswer: 0, 1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460841*f**3*k**3 - f**2*k + 2*f*k**3 + 11*f - 15*k + 212 wrt f.\nAnswer: -2765046*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212839859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(2106\/324). Which is the third smallest value? (a) 1 (b) -4\/7 (c) -5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, l: 3, o: 3, q: 1, y: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-129)\/45) + -3. Let c be (-5 - -11)*1\/9. Is c at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(625\/30))\/((-42)\/315)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16314325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:46 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -167*q**2 - 490*q + 11. Determine b(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -5616?\nAnswer: -5616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10655166 divided by -17382?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38134 by 21.\nAnswer: 38134\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 4*j + 1. Let z be h(-5). Let x be 9\/15 + z\/15. What are the prime factors of (-9)\/3*10\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.17212 milligrams in tonnes?\nAnswer: 0.00000005917212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t\/(t\/(t\/(t*t*t\/t**(-1\/2)*t))))\/t))\/t)\/(t**(-4)\/t))\/(t**(-1))**(4\/21)*((t\/(t\/t**10))\/(t*t**(1\/7)\/t*t))**(2\/21) assuming t is positive.\nAnswer: t**(3391\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 103.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 6*c**3 + 7. Let x(g) = 2*g**2. What is d(x(n))?\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17020634.\nAnswer: 2, 8510317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -226524 and 3.\nAnswer: -679572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 612 (base 8) to base 10\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 - 48. Suppose -6*p + 2*p = -b. Calculate the least common multiple of 1 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -28*y**2 - 20179*y - 33949493. Let a(l) = -135*l**2 - 100896*l - 169747464. Let m(b) = -5*a(b) + 24*n(b). Factor m(z).\nAnswer: 3*(z + 3364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plwl when four letters picked without replacement from {w: 1, l: 2, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 11*s - l - 4 = 0, 0 = -5*l - 0 - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m**2 + 96*m - 36 = 0 for m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -5, 2\/7, -405, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -14. Let o = g - -17. Solve 4 = 2*l - o*m + 5, 4*l - 10 = -2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 6*r**2 - 7*r. Let j = 11 + -6. Suppose -2*q = -4*p - 32, -2*p + 104 = j*q - 0*q. What is the least common multiple of q and y(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72472 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -17) + 22 + -5 + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 27, -35 in descending order.\nAnswer: 27, -35, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 6, l: 1, d: 2}. Give prob of picking 1 l and 2 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 7. Let y be s(-5). Let i(b) = b**2 + 17*b + 2. Let j be i(y). Let q(l) = 2*l**2 - 2*l - 1. Let t be q(3). Solve -j*o - 3 = -t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 5430665*k**4 + 38014950*k**3 - 54306920*k**2 - 86891200*k = 0. What is k?\nAnswer: -8, -1, 0, 2, 1086140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6771 and 549?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 51*n**2 + 4*n + 4. Let i(a) = 3264*a**2 + 255*a + 255. Determine -4*i(f) + 255*s(f).\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 + -3.8. Let u = 20645 + -20640. Which is the biggest value? (a) -6 (b) 2 (c) u (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 856, 3437, 7720, 13699, 21368?\n\"Answer: -g**3 + 857*g**2 + 17*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2. Let w(m) = -680*m. Calculate i(w(h)).\nAnswer: -462400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/2 - 4430*k**2 - 53187*k\/2 - 39897 = 0.\nAnswer: -3, 8866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 6*s - 6*s + s + 7*s.\nAnswer: -4*s - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -3754?\nAnswer: 33786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**3 + 21 - 21 + (-5 - 1 + 5)*(2*z - 2 + 2)*(32 - 32 + 28*z**2) in the form s*z**2 + o + n*z**3 + u*z and give n.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1960, -1961, -1962?\n\"Answer: -c - 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 400*z + 40000 = 0. Calculate z.\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 4*z + 4. Let d(j) = 2*j. Let s be d(1). Let r be c(s). Solve 0 = -5*g + r*g + 3*k - 11, 3*g - 2*k = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 2. Let x be i(0). Let v(k) = 4 - 4 + k**x. Let u(y) = -8*y**2 + 5. Let l(p) = 15*p**2 - 9. Let s(a) = 4*l(a) + 7*u(a). Determine s(o) - 3*v(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((6 + -2)\/(-4))\/1. What is the units digit of (0 + c)*69\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 115806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/30417 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Suppose -2 = -9*u + 7. Let j(s) = 3*s**2 + 3*s - 3. Suppose -9 = -0*c - 3*c. Let l(a) = c*q(a) + u*j(a). Factor l(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235374350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 9*v**4\/7 + 143*v**3\/7 - 835*v**2\/7 - 15119*v\/7 + 1690\/7 = 0.\nAnswer: -13, 1\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 557179316 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 2*j. Suppose -2*c + 4 = j, -g + 0*g = 3*c - 24. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 2. Let p(i) = 2*i**2 + 1. Determine -5*p(w) - 3*s(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 33, -1\/53, 15574 in increasing order.\nAnswer: -1\/53, 1\/6, 33, 15574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4792446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:17 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:26 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:00 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*o = -4*o + 20, 3*y - 18 = 3*o. Let m = 1079 - 1079. Which is the closest to -0.3? (a) 0.4 (b) 1 (c) y (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 70*v**3 + 6*v**2 - 31*v + 5. List the prime factors of i(5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10510, 22703, 34896, 47089, 59282, 71475?\nAnswer: 83668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(110\/55). Let h = 0.5 + -0.47. Put f, -0.2, h, -0.3 in decreasing order.\nAnswer: h, -0.2, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 36076*k**2 - 87*k + 87. Let h(l) = 839*l**2 - 2*l + 2. What is -4*a(v) + 174*h(v)?\nAnswer: 1682*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(z + 0*z - 2*z)*(-2*z**2 - z**2 + 4*z**2) + 2 + 217*z**3 - 1834*z**2 + 1834*z**2.\nAnswer: 219*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-10) - 10680\/(-6300)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1\/2 (b) -2\/9 (c) -0.4 (d) 0.2 (e) 2\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8869, -18465, -28061, -37657, -47253, -56849?\nAnswer: -66445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3 = 2*r + 1, -5*m + 3*m = -6*r - 2*r + 12*r - 8*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-302)\/(-9664)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -61. Let c = v + -35. Let n(w) = w + 33. Is n(c) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/((280\/(-532))\/10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 + -7.96. Let a = -1.204 - l. What is a rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2. Suppose -4*i + 2*w = -2*i - 6, -5*i = -w - 11. Let q be x(i). Let n(k) = 5*k**q + 3 + k**2 - 7*k - 3*k**2 - 2*k**2. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 13*v - 4. Suppose 3*w = 3*h - 48, 0 = 4*w + 3 + 5. Let u be f(h). Solve k - 2*j - 15 = 2*j, 0 = 5*k - 3*j + u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**6\/15 - 2*k**5\/5 - k**4\/6 + 4*k**3\/3 + 73*k + 95. Let f(p) be the first derivative of m(p). Determine z so that f(z) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256666.4 months to centuries.\nAnswer: 1047.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 188*t + 182*t - 351*t to the form d*t + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 70*n**2 - 73*n + 141. Give z(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 996099*m**5 + 2*m**4 + 1496022*m**2 wrt m.\nAnswer: 59765940*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396 (base 10) to base 9.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 69*y**2 + 9 - 71*y**2 - 8. Determine n(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1090*h = 1083*h. Let z(c) = c**2 + 7*c + 8. Let t be z(-4). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((66\/(-11))\/((-112)\/(-8)))\/1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*g = 19, -6*b + 3*g = -4*b - 26 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 106784, 5 in decreasing order.\nAnswer: 106784, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 414 = 25*l + l. Let o(x) = -x**2 + 3. Determine o(l).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 30. Solve -2*z - 2*z + m*z - 2*z**2 - z**3 + z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2296, 4595, 6898, 9205, 11516, 13831?\n\"Answer: 2*i**2 + 2293*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-2 + sqrt(1620) + sqrt(1620))\/(sqrt(90)\/sqrt(360)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106930 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 352435585 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 15. Let v(f) = -2*f - 31. Let p(j) = -14*g(j) - 6*v(j). Let h be p(-14). Solve -m = h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z**2 + 3*z. Let c(d) be the second derivative of -7\/2*d**2 + 0 - 1\/6*d**3 - 2*d. Let g be c(-9). Determine u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 6*s**3 + 2128*s**2\/3 + 472*s\/3 = 0.\nAnswer: -118, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 25 - (1 + (-7 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.44020021 + -1.44020051. Let v = q + -9. Round v to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24042025 (base 6) in base 8?\nAnswer: -2675001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b + 12 = 0. Suppose 12 = -s + 3*s. Calculate the greatest common factor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 54\/7 (c) 1\/24 (d) -433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68418 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108086214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-42))\/6*14\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -477, -697, -929, -1179, -1453?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79 - 125.21. Let p = m + 125.7. What is the smallest value in -0.1, 0.3, p, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/1331 and (1\/((-10)\/4))\/((-458)\/46945)?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6906 and 142491498.\nAnswer: 142491498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28823139.\nAnswer: 3, 463, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/69 - 25\/138. What is the second smallest value in -1, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2523 * -2525.\nAnswer: -6370575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let x(y) = 7*y - 2. Let k(v) = 6*f(v) - x(v). Let s be k(0). What is the third derivative of 4*u**3 - 7*u**2 + 4*u + 3*u**s - 4*u wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyju when four letters picked without replacement from jyjwjjmjuuwjjyhm.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:57 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478603517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 + (-3 - -2) - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.85, -0.1, -6\/11, 7, 120.2 in decreasing order.\nAnswer: 120.2, 7, 0.85, -0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Suppose -4*c - 5 = 3. Let f = 1 + c. Let g(a) = -8*a + 3. Let w(b) = -8*b + 2. Let k(l) = 3*g(l) - 4*w(l). What is f*k(v) - 6*x(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of ((-4)\/((-144)\/(-6)))\/(6\/(-191988))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 6*k**3 - 12*k**2 + 24*k.\nAnswer: 3*k*(k - 2)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/110*5\/(-20) - (-1170)\/22. What is the greatest common factor of 2597 and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 8*p = -136 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g = -144*g + 28. Differentiate -10*o**g + 8*o**4 - 104 - 2*o**4 + 13*o**4 with respect to o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 1, t: 1, k: 1, j: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 11. Suppose -7 + 37 = 10*l. Suppose h = 4*a + 4*h - 26, -3*a + l*h + 9 = 0. What is the lowest common multiple of a and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g + 159*g - 5*r = -30, 5*g + 3*r - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 10*p**3 - 13*p**2 + 13*p**2.\nAnswer: 10*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 94?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4. Let y(w) = -w + 1. What is -p(k) - 4*y(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -23*m**2 - 209*m - 44. Let d(q) = -12*q**2 - 104*q - 24. Give -11*d(p) + 6*s(p).\nAnswer: -6*p**2 - 110*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13529*s. Let f(z) = -1879*z + 1. Calculate h(f(o)).\nAnswer: -25420991*o + 13529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 2*f - 12. Let a be i(5). Suppose -n = 3*l - 8*l + 42, 2*l = 5*n + a. Solve -4*x + x = -l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -30. Suppose -4*d - q = -41. Let t(g) = -g**2 - 5*g + 4. Let o be t(-5). Solve d = -o*k + 2*z, 4*k + 9 = k + 3*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 7*q + 7. Calculate n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) -11838 (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -34. Let m = -2259 + 2275. What is the highest common divisor of s and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*l = -2, -5*n + 4*l + 28 = -14. Solve -4*x - 15 = -5*s - 5, 0 = 5*s - n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306954.\nAnswer: 2, 3, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 983174 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61401686?\nAnswer: 2, 1009, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/16*(-9)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/129? (a) -0.4 (b) -0.3 (c) 34 (d) -37\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4853? (a) -6 (b) -4 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/7 + 166*v**3\/7 - 648*v**2 + 5600*v + 6272 = 0?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-32)\/(-24)*(-6)\/1*-1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 34872408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005199009 to 6 decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162))**2 + -2.\nAnswer: -18*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 <= 78412\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26335 - 0?\nAnswer: 26335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60341 (base 7) in base 3?\nAnswer: 202000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/((z*z**(-1))\/z))*z*z))**(-44))**(-28)\/(((z**(1\/4)*z)\/z)\/z*z**(-3)*z\/(z\/z**(1\/5))*z**5) assuming z is positive.\nAnswer: z**(-24669\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2118177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - a - 6. Let q(j) = 2*j**2 + 3*j + 11. Let o(f) = 3*q(f) + 5*v(f). Let n be o(-3). Suppose 2*d = -n*d + 138. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aadadaaaad.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, 41, 677, 1583?\nAnswer: 2759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -24*c + 23*c, -c - 5799 = -4*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0 + 0*s + 0*s**2 - 1\/3*s**4 + 7\/3*s**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218326 and 2414734.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/54 and 1\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sruussuuuss. What is prob of picking 3 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -20*v - 808, 77*v - 74*v = -3*d - 132 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 1. Calculate s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 1\/2*i**2 + 10*i + 86. Let p(x) = x**2. Give p(w(s)).\nAnswer: s**2 + 20*s + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 - 6*w - 3. Let f be b(7). Let h = -713 - -713.2. Put 1, f, h in decreasing order.\nAnswer: f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2314 times 54.242?\nAnswer: -125515.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044 and 2.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7) - ((-8 - -4)\/(-12) - (-4113)\/(-189)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 430697.94 and -0.3874625?\nAnswer: 430698.3274625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 710 = -15*o. Solve -o*h + 11*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h - 51*h - 50*h + 154*h + 1 = -9*c, -3*h + c = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54448 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2900 + 1285 - 3*g + 1425 + (-g + 5*g - 3*g)*(3 + 3 - 5).\nAnswer: -2*g - 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:18 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + -102. Let i be -3 - (5 + -5) - 662\/c. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.047 + 4.047. Sort -1\/3, w, -9 in increasing order.\nAnswer: -9, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**2 - 10. Let o(j) = -5*j**2 + 4. Let s(k) = 5*o(k) + 2*p(k). Let z(h) = 47*h - 1. Determine s(z(f)).\nAnswer: -2209*f**2 + 94*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -22, -46?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j + 166*m - 168*m, -j = m - 1. Let s(b) = -10*b**2 - 8. Let y = 6 - 7. Let i(d) = -1. Calculate j*i(x) + y*s(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3 + -11)) + -14 + 20\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Let r(t) be the third derivative of t**6\/20 - t**5\/20 + t**4\/8 + 8*t**2. Let g be r(h). What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 14 + 6, p - 2*a + 65 = 0. Let w(z) = 3*z**2 + 5*z - 8. Let g be w(-6). Let k = g + p. What is the remainder when 118 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {n: 1, b: 3, m: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 71.\nAnswer: -8\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 431807715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2973365, 2973364, 2973363, 2973362, 2973361, 2973360?\n\"Answer: -d + 2973366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 1\/3, -6, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 12:49 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(3\/4))\/(u\/(u*u**(-3\/5))*u))\/(u\/u**(2\/19)*u**(1\/3)))**19 assuming u is positive.\nAnswer: u**(-2939\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 2, a: 1}. Give prob of picking 1 u and 1 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 154*v**3 - 43*v**2 + 34*v. Let m(q) = 62*q**3 - 22*q**2 + 18*q. Let n(p) = 5*m(p) - 2*y(p). Factor n(x).\nAnswer: 2*x*(x - 11)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-20)\/24*2. Suppose w - 62 = -4*b, u*b + 2*w - 79 + 3 = 0. Let k(d) = d**3 + 22*d**2 + 119*d - 9. Let h be k(-10). Put h, b, -1 in increasing order.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 771498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/((-18)\/4) + 493\/(-612) and (-2)\/3 - (-5050)\/3232.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28942 + 41295. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 55, 85, 115, 145, 175?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-555*(104\/(-24))\/(-13)*860\/(-1075)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 67 + 20 + 532*j + 21 + 6.\nAnswer: 532*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5728*w - 948728 = 7462*w - 2409*w for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Let w be (-2)\/(-4) + (-22)\/g. Suppose -18 = -p + w. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-84)\/(-116)) - -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 2*m + m**3 + 44 - 3*m**2 - 43 to h + u*m**3 + k*m + f*m**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25139*h**2*x**3 + 72*h**2*x**2 - 4528*h**2*x - 4*h**2 - 97*x**3 - 2*x**2 wrt x.\nAnswer: 150834*h**2 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 8. Let f be r(4). Let t = 142 + -571\/4. Let j = -16.5 + 21.5. Which is the biggest value? (a) j (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*v**3 - 235*v**3 - 206*v**3 + 856*v**3 - 3 - 200*v**3.\nAnswer: 25*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*s = -s - 4, 4 = -2*g - 4*s. Factor 3*o**3 + o**4 + g - 1 - 3 + 2*o**2.\nAnswer: o**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55512, 222056, 499630, 888234?\n\"Answer: 55515*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2 + (-21)\/(-6)). Suppose -9 = -y*f + 4*s + 13, 30 = 4*f - 5*s. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310895, -621793, -932691, -1243589?\nAnswer: -1554487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81729185393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -557*v + 8. Let d(z) = 138*z - 2. Give 9*d(l) + 2*t(l).\nAnswer: 128*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**4\/4 - 15*r**3 + r + 67. What is the second derivative of p(f) wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxuw when four letters picked without replacement from xxwuuuuwhxuuwhhuuwuu.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01094932387 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:27 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:00 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -6438*l + 6426*l - 28 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 3.8. Suppose 3*h - 35 = -4*m, 25 = h + 4*h. Let n be ((-18)\/30)\/(4\/m). Sort -0.5, n, a, 5.\nAnswer: a, n, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*z = -6, 5*z - 3 = j - 5*j. Let b(i) = 20*i**2 + 7. Let w(r) = 21*r**2 + 6. Let f(n) = j*b(n) - 3*w(n). Differentiate f(c) wrt c.\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*q = -65, 0*q = q - 1. Suppose -j - 8 = -4*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8278652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -10. Suppose -3*o + b = 4*r, 3*o = 5*r + 2*o - 29. Suppose -75 = -3*u - 3*n, -8*n = 208 - 168. What is the smallest common multiple of u and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:37 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7311 = -7*p - 2446. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/12))**(-19)*(c**(-6\/7))**(1\/12) assuming c is positive.\nAnswer: c**(-139\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 9*f**2 - 4*f - 6. Let n(c) = c**3 - c**2 - c + 1. Let g(j) = d(j) + n(j). Let s = 768 - 762. Does 7 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17370729.\nAnswer: 3, 1930081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1434 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 79. Let t = p - 25. Solve -v + o - 3 = -7, v - 4*o - t = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/129633 and 33\/302477?\nAnswer: 907431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7\/(28\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 - 20*i - 69. Let t(g) = -5*g**2 + 9*g + 31. Let k(a) = 3*l(a) + 5*t(a). Give k(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 + 64. Let x = -38 - h. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y. Let u(h) = h**2 - 6*h. Suppose 3*f - 6 + 15 = 0, 2*d = 2*f - 6. What is d*w(o) + u(o)?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 8*k + 5. Let x be h(8). Let d(p) = -2 + 2 - x*p**2 + 8*p**2. Let i(t) = 5*t. What is d(i(m))?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64892 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*q - 13 = 19, 0 = -x - q + 1. Let i be x + (-17)\/4 - (-3)\/12. Let o be 54\/238 - (-4)\/(-14). Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -1.06. Suppose 3*f + 33 = 18. What is the closest to 0 in f, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264826628 take away 10?\nAnswer: 264826618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570314620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*y**3 - 13*i*y**2 - 65354*i - 2*y**3 - 80*y**2 - 3*y wrt y?\nAnswer: -12*i*y - 26*i - 12*y - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171166026 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23013, -22566, -22117, -21666, -21213?\n\"Answer: s**2 + 444*s - 23458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.6, 0.3, -6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 1, -116\/105, 0.5, -2\/3, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -165. Let j = z + -48.000064. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -3, 5, 214, -63 in increasing order.\nAnswer: -63, -27, -3, -1, 5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66008117?\nAnswer: 7, 9429731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55998909 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p. Let i(a) = a**3 - 12*a**2 + 37*a - 11. Let u be i(7). Let v(l) be the second derivative of -1\/3*l**u - 2*l + 0*l**2 + 0. Calculate v(b(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16330 + -10043?\nAnswer: -26373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*170\/1445. Which is the nearest to -2? (a) -1 (b) -2\/5 (c) f (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010521 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1556012 and 356?\nAnswer: 138485068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*s**2 + 0 - 537*s**2 + 0.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 21963326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767147896 is divided by 6470?\nAnswer: 6466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-18))\/((-2)\/(-150)). Let g = 5 - n. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-25)\/k)\/k**(-4\/7))\/(((((k*k**(-34))\/k)\/k)\/k)\/(k\/(k\/k**(-14)))) assuming k is positive.\nAnswer: k**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.943182 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -3, -2\/11, -45 in increasing order.\nAnswer: -45, -3, -2\/11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s - 42. Let u be y(8). Suppose 26 = -6*v + u. Factor 75\/2*t - 125\/2 - 15\/2*t**v + 1\/2*t**3.\nAnswer: (t - 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let s(u) = 3*u**2 + 23*u. Determine s(g(r)).\nAnswer: 3*r**4 + 23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*m - 405 - 228 = 0, 0 = 5*c - 5*m - 1135. What is the nearest to 2\/7 in 4, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3743520 and 2200.\nAnswer: 18717600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s - s)*(0 + 0 - 3) to d*s + w and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/(v*v*v*v*v**(-6)*v*v))\/(v*v*v**0*v*v*v**(1\/2)*v*v) assuming v is positive.\nAnswer: v**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450 and 693825?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x, -4*x + 10 = -2*b + 16. Let r = -61 - -97. Let m be (r\/27)\/((-1)\/b). Solve -m*j = 3 + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 + -694. Let k = 495.21 + i. Let g = -2.2 + k. Round g to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*t + 186836 = 0, 5*o - 190755 = 5*t + 42760. Is o\/264 + 1\/12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quh when three letters picked without replacement from {h: 1, u: 3, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6261355*-0.5\nAnswer: -3130677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24654 and 121\/1086.\nAnswer: 4462374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388) + 2*sqrt(3388)*4 + sqrt(3388) + 2*sqrt(3388)*1)\/(sqrt(20)\/(sqrt(45)\/(1*sqrt(9)) + sqrt(5))*-6).\nAnswer: -44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 > -389\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l. Let c(w) = -w - 1. Let t(i) = -c(i) + d(i). Let q be t(1). Suppose q = j + 1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*(-23)\/(2898\/280).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285569 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 + 223\/(-4). Let u = -15 - -77. Let t = s + u. Solve -k = k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2137056 divided by -66783?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1.8772\nAnswer: 0.18772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000243 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*z = 3*u + 56*z - 7514 - 502, 4*z + 145 = 3*u - 221 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*-1054*(-2)\/(-4). Suppose 3*v - 520 = -y - v, y - 3*v = z. Suppose 0 = -5*o - 5*i + 615, 7*o - 3*o - 4*i - y = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4807 + 2*u**2 - 4804 - 4783 + 19240 - 4815.\nAnswer: 2*u**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i + 4. Let o be a(0). Let y(q) = q**3 - 4*q**2 + 3*q - 1. Give y(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1759 divided by 14\nAnswer: -1759\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 610 or 608?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1645\/245 - (-2)\/7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170510 is divided by 5773.\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 606299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/300 and -161\/30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5604.831132 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 3*h**4 + 238 + 2*h**3 + 2*h**4 - 233 in the form r + z*h**4 + u*h**3 + s*h + x*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7049570094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*h + 36 = -2*h, 5*h - 5 = -5*w. Suppose 2*x - 24 = -x. Suppose x = -w*l + 23. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 35*p - 23. What is g(16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.6 (b) 12 (c) -4 (d) 1\/6 (e) 5 (f) -1\/18 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**4\/12 + i**3\/3 - 2*i**2 + i. Does 13 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -48*x - 8. What are the prime factors of z(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 - 8\/5. Let z = 11 - 17.4. Let b = 6 + z. Sort -2\/13, b, a.\nAnswer: a, b, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -97 and -0.0777.\nAnswer: -97.0777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = c. Calculate the greatest common divisor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.72 and 833460047.\nAnswer: 833460035.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 9*i**2 - 7*i - 6. Let x be r(8). Suppose -3*p + 2*c + 17 = 3*c, 0 = -x*p + 2*c - 2. Sort -3, p, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1247, 9711, 32649, 77297, 150891?\n\"Answer: 1206*r**3 + r**2 + 19*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 5}. Give prob of sequence lhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f**4\/7 + 197*f**3\/7 - 38*f**2 - 2848*f\/7 + 384\/7 = 0. Calculate f.\nAnswer: -3, 2\/15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 92*z**2 - 233. Is 3 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)\/g)\/g*(g\/(g**9\/g)*g)\/g*((g\/(g\/g**(-2))*g)\/g)**(-9))\/((g*((g**2*g)\/g)\/g*(g*g**(-2\/7)\/g*g)\/g)\/((g**6\/g)\/(g**(6\/11)\/g))) assuming g is positive.\nAnswer: g**(442\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -40*i + 45*i + n, -i + 2*n - 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 37*a + 69. Let x(i) = -18*i + 34. Let d be 6\/(-10) - -26*3\/30. Let v(w) = d*q(w) - 5*x(w). Factor v(f).\nAnswer: -2*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - -0.4. Is 0.13 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 10. Let y be g(5). Let a = y + -10. Suppose -3*k + 9 = -2*w - w, 3*k + 2*w - 19 = 0. Put a, -1, k, 1 in descending order.\nAnswer: k, 1, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35857, 143841, 323833, 575833, 899841, 1295857?\n\"Answer: 36004*p**2 - 28*p - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*y + 940, -y + 323 = -2*m + 959. Is 49 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/7 + 3172*d**2\/7 - 569664*d\/7 - 3427920.\nAnswer: -4*(d - 414)**2*(d + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24021103 (base 5) to base 10\nAnswer: 220153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, 5, -1\/6, -2\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*k + 14 - 16 = 0, 5*o - k = -57. Which is the fourth biggest value? (a) o (b) -0.2 (c) 47 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 4*x. Suppose -8 = 5*v + 3*a - a, -5*v + x*a = -16. Suppose 2*d + 6 = v, 0*w - w + 39 = -d. Calculate the greatest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11990238 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/7 - 232*l\/7 = 0. What is l?\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/10))**(8\/5)*c**(2\/59)\/c*c**(-1\/23)*c assuming c is positive.\nAnswer: c**(-5753\/33925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.35 (b) -3\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o - 4*o + 2119 - 2100)*(6*o - 6*o + 2*o**2).\nAnswer: -28*o**3 + 38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9539, 9536, 9531, 9524, 9515, 9504, 9491?\n\"Answer: -z**2 + 9540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -23*u + 50. What is d(0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 3\/5 (c) -0.1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 9\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 + 692528*s + 2770080 = 0.\nAnswer: -346260, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -3 + 4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+48440187.66\nAnswer: 48440191.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 410563231 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*i**4 - 2*i**2 - 87*i - 3732 wrt i?\nAnswer: -24*i**3 - 4*i - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533126.\nAnswer: 2, 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -551, -1170, -2037, -3152, -4515?\nAnswer: -6126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 7*l**3 - l**3 + 3*l + (-7*l + 6*l + 6*l)*(17*l - 37*l**2 - 17*l).\nAnswer: -179*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 261*p + 27. Let k(g) = 2*g - 3. What is -18*k(h) - 2*r(h)?\nAnswer: -558*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 230187465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12*o**2 - 21*o - 33. Let s = 110 - 28. Calculate the remainder when s is divided by m(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 2, h: 1, b: 1, y: 1, q: 1}. Give prob of sequence qyb.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1560074, -3120168, -4680262, -6240356, -7800450?\nAnswer: -9360544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -707795378.\nAnswer: -707795375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 847 = -5*l, v - 529 = 3*l - 3*v. Let t = l - -818. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:49 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21636 - -21636.4. Which is the nearest to n? (a) 0.4 (b) 0.1 (c) -0.0281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f. Let j(d) be the first derivative of 7*d**2 - 2. Let i(v) = -3*j(v) - 8*r(v). Let b(p) = 2*p. Determine b(i(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) - sqrt(1764)*2)*1)\/(sqrt(132)\/(sqrt(66)\/sqrt(6)*-2)).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7304.6665 to the nearest 10.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/2)*n)**26\/((n*n**7)\/(n**(-6\/7)*n)) assuming n is positive.\nAnswer: n**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 83 = 31. Find the third derivative of 84*i**4 - 1 - 1 - 147*i**s - 11*i**2 wrt i.\nAnswer: -1512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j\/(j\/(j\/j**(2\/41))))\/j*j\/j**(-9))**(-3\/20) assuming j is positive.\nAnswer: j**(-147\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.12, 5, 0.08, 4, -2\/5 in increasing order.\nAnswer: -6, -2\/5, -0.12, 0.08, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 623 (c) -86\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*q + 66 = -7, 0 = 3*c - 5*q - 38. Is 4\/14 + (2430\/c - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1249234, -1249097, -1248960, -1248823, -1248686, -1248549?\n\"Answer: 137*t - 1249371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 252 and -0.5.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3482\/429 or 7?\nAnswer: 3482\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32502404.\nAnswer: 2, 11, 23, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 200*x - 1205. Calculate w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-5))\/(4\/(-10)). Let i = 28 + 84. Suppose 0 = q*h + h - i. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - j**3 - 17363*j**2 + 17363*j**2 + 0*j - 46*j**4 + j - 2*j as t*j**2 + p + u*j + c*j**4 + d*j**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -471223 (base 8) to base 14\nAnswer: -42655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 7*a - 0*a. Let n = a - 38. Let z(r) = -r**3 - 2*r**2 + 6*r + 3. What is z(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 13*n + 10*n - 10050 = 0. Suppose 2*u + 32 = -z + 5*z, 5*z - 34 = 4*u. What is the greatest common divisor of z and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 6*z**2 + 12*z + 4. Suppose 2*x + 24 = -2*s, 3*x + 5*s + 14 = -30. Let p be g(x). Calculate the greatest common factor of 288 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2670 * -11307\nAnswer: -30189690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 21*w = a + 18, -w = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1595921*s**2 + 1391107*s - 1 wrt s.\nAnswer: 3191842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/156*4\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45024 divided by 112.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3069*y**4 - 3146*y.\nAnswer: -36828*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**20)\/(b**10*b))\/(b**(-10)\/b*b**10) assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(78) + (sqrt(78) - sqrt(78)*-1*-5))\/(sqrt(6)*1*3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3269.1\nAnswer: 980.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 11. Let x be w(-8). Let t = x - -24. Which is the smallest value? (a) t (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**2 + 123*n. Let f be p(-10). Solve -f*d + 228 = -13*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10221?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (4 + (4 - (12 - 4))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -4, 52473 in descending order.\nAnswer: 52473, 69, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 519844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 6. Let o(y) = 3 - 2*y - 2 - 6. Let u = -6 - -1. Let m(q) = u*o(q) + 4*w(q). What is the first derivative of m(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3487978 by 134153.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 4, b: 4, j: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 16. Let y be g(10). Let p be (12\/15)\/((-4)\/(-20)). Put p, y, -6 in decreasing order.\nAnswer: p, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16277501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, l: 3, n: 3, g: 4, w: 2}. What is prob of sequence lgqq?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-14)*j*j\/((j\/(j*j*j*(j\/j**(-9))\/j*j))\/j*j) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l + 1. Let y be ((-10)\/(-55))\/((-2)\/(-638)). Let m(x) = -60*x. Let o be m(1). Let p = y + o. Calculate f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 = -4*y, y - m - 5 + 3 = 0. Let u = 8 - y. Is 148 - (-4)\/(12\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77525?\nAnswer: 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -4\/7, 0.47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2749 + -2719. Calculate the least common multiple of i and 432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Let s be t(-3). Let x(y) be the first derivative of -1\/4*y**4 + 0*y**2 - 1\/3*y**3 + 2 + s*y. What is the third derivative of x(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 2:35 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -278876 (base 9) to base 8\nAnswer: -515116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*m + 9, -w + 65*m - 6 = 67*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5 = -3*o, -2*t + 2*o = -2*o - 16. Suppose -t*i = -232 + 76. Suppose w - i = -w. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/24 - w**3\/6 - 3*w**2 - 34. Let i(b) = -9*b. Calculate i(q(a)).\nAnswer: -9*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*v**2 + (v + 0 + 0)*(2*v - 5*v + v) + (4*v - 4 + 4)*(-1 + 4 - 6 + (2 + 0 - 3)*(1 + 3 - 3) + 4 - 5 - 3)*(4*v + 0*v - 3*v).\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*w + 59*t - 28*t - 27*t, 0 = -w - 5*t + 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5840418654 to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/53 (b) -15 (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 667806 + -403426. What is h rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 - -3) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000011010010100 (base 2) to base 9.\nAnswer: -332004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/51 + 11. Suppose n(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4))**47)**(-37) assuming q is positive.\nAnswer: q**(-5217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {d: 1, m: 1, e: 6, h: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -3*f, -f - 144 = -3*w. Suppose 3*t - 10*t = -w. Let l(m) = -m**3 + 6*m**2 + 6*m + 1. Calculate l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiqiiqiiiiiiiiiii.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (3 - 2) + -19. Let l be 2\/10 - 76\/d. Solve 5*x + 3 = -y - 7, -11 = -l*x + 3*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1514\/9 + 168. Let w be (-2)\/4 + 3\/6. Suppose 5*z - 6*z + 3 = 0. Which is the third smallest value? (a) z (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 345 + 5?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30511775 to the power of 1\/2, to the nearest integer?\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2662) + (sqrt(2662) - sqrt(2662)*-1)) + sqrt(2662))\/((sqrt(88) - (sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*-2)) + sqrt(88)))\/sqrt(8)*5).\nAnswer: -209*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -33. Suppose 3*z - 2*z + 4 = -3*s, -k*z + 20 = -5*s. Does 18 divide -3*((-400)\/12)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 divided by -4?\nAnswer: -397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 627?\nAnswer: 116\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.011 and -1400.3?\nAnswer: 1400.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 842*r + 232. Let g be k(8). Let n = g + 51. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9784 + -9784.3. Let h = 11 - 14. What is the fourth smallest value in h, r, -2\/55, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668917313?\nAnswer: 668917313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozhzhyzzozososooh. Give prob of sequence yo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -88539 (base 10) to base 3\nAnswer: -11111110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 13*m - 40. Suppose 0*y = 4*y + r + 16, -4*y - 8 = -r. Let u be p(y). Let g = 3 + -3.4. Which is the smallest value? (a) g (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1242*n**3 + 2576*n?\nAnswer: -7452*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtvessm. Give prob of picking 1 e and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 3 - 2)*(-f + 0*f - 3*f)*((-2 + 1 + 4)*(-6 + 3 + 2) + 1 - 3 + 3).\nAnswer: -1024*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35238 and 7854?\nAnswer: 6589506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07818 rounded to 3 decimal places?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 + 2*s**2)*(-788*s + 497*s**2 + 788*s + (-s + 0 + 0)*(-3 - s + 3)).\nAnswer: 996*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7682, -15355, -23004, -30617, -38182, -45687, -53120?\nAnswer: -60469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (14 - -3) + -109 + 93?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -295753, -591499, -887245, -1182991?\n\"Answer: -295746*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310*s**4*z**2 + 63*s**4 - 3*s*z**2 - 16281*z**2 wrt s.\nAnswer: -3720*s**2*z**2 + 756*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-230)\/(-23))\/((-2)\/(-122)) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 2. Suppose 0 = -5*y + 2*o + 19, 2*o - z = -2*y + 1. Solve 0 = -s + y*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -95 - (-3 - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*r**2 - 439*r**2 + 258*r**2.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*t + 83*t - 936. What is the lowest common multiple of 6 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -57*r. Let w(b) = 658*b - 165. Calculate w(u(y)).\nAnswer: -37506*y - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 3*w + (-3*w + 5*w - w)*(2 + 4 - 5) + 4 + w - 4)*(w - 5*w + 3*w) - 246 - w**2 + 246.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 3. Let r be w(5). What is the second derivative of -2 - 5*v + 5*v**3 + 2 - 6*v**r wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95717454 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4202081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816025 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -34*s. Let w = -5 - -7. Let j be (-5)\/w - (-2)\/4. What is the units digit of h(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 6. What is l(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32028 - 32028 + 1332*o - 2*o - o + o - 4 + 2*o + 4 + (-2 - 2 + 3)*(1 + o - 1) to j*o + s and give j.\nAnswer: 1331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c = -j + 340, -3*j = 3*c - 195. Calculate the common denominator of -2 + j\/(-12)*1 and -2\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12. Let q(k) = -k**2 + 3*k - 1. Let y be q(j). Let d = -0.4 - -0.3. Which is the third biggest value? (a) 0.5 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.47. Let z = w + 0.06997. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7309 is divided by 122?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 48*z**3 - 27*z. Let r(t) = -4*t + 9*t**3 + 0*t - 15*t**3 + 10*t**3 + 3*t**3. Determine -27*r(p) + 4*v(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/34 - (1 - 79122\/34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 24*n + 80 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 0*h**3 - 34 + 0*h**2 - 29\/4*h**4 + 23*h. What is the first derivative of m(k) wrt k?\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000276893842 rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -1.18984\nAnswer: -0.0237968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apeae. Give prob of sequence pe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1584 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 67. What is the remainder when t is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = -2*s + 4*r, s - r + 1035 = 2*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/3)\/u*u**4)\/(u*u**(1\/8)*u**2\/u))**50)**(-6\/17) assuming u is positive.\nAnswer: u**(-1525\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4 - -8) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*r = 98, -c - 5101541*r + 5101544*r + 58 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 12.4, -1\/3, 0.5, 0.2, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2)*p*p*p**(-3\/4)*p**(10\/9)\/p**10 assuming p is positive.\nAnswer: p**(-167\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*a**4*s + a**4 + 1628*a**3*i**2 - a**2*i**2*s + 25234*a**2*i + 82*a*i**2 wrt a?\nAnswer: -10920*a*s + 24*a + 9768*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 4*w - 2*z, -75*w + 72*w = -0*z + 2*z + 63 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6. Let m(w) = -w**2 + w + 6. Let d(q) = 3*a(q) + 2*m(q). What are the prime factors of d(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + (38 - (44 - -19)) + -2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 13*x**2 - 13*x + 12. Let t be j(12). Suppose t*r - r = -16. Suppose -r - 179 = -5*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 414389928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*y + 89, 0 = 3*u - u + 5*y + 7. Let h be u\/64 - (-610)\/8. Is 1\/4 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1140204 (base 6) to base 8\nAnswer: 164454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 214? (a) -2\/3 (b) -4\/7 (c) -0.4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y = 187*y - 438. Let j(s) = 2*s + s**3 + 5*s**2 + s**2 - 3*s**3 + 7. List the prime factors of j(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -29. Let v(h) = 2*h + h + 3 - 5*h - 9. Give v(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(2299))*-1.\nAnswer: -11*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24567020 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50217 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 28438*l**2 - 6*l - 8. Let c(t) = t. Let b(j) = 3*c(j) + k(j). Let g be b(8). What is g rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:17 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 942595931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, -329, -1, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 160 = -o, 90 = 2*c + 4*o - 12. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**1)))**36\/(m**(-1\/8)\/m*m\/((m*m**(-5\/2))\/m)*m)*((m**(-1)\/m)\/(((m*m**0*m*m*m*m)\/m)\/m))\/(m**(-1))**(-22) assuming m is positive.\nAnswer: m**(333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -22100?\nAnswer: -100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 27 = 2*y. Let r(x) = -x + 11. Let h be r(y). Suppose 3 - h = -d, 5*v - 1 = -4*d. What is the third smallest value in v, -1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2. Let g(u) be the third derivative of -u**8\/20160 - u**5\/10 + 9*u**2. Let b(h) be the third derivative of g(h). Calculate b(l(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 6. Let r(y) = 203 - 66 - 69 - 57. Let a(g) = -g + 24. Let d(p) = -2*a(p) + 5*r(p). What is 5*c(v) + 4*d(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 0*c + 6*c)*(1 + 2 - 4)*(2*c - 5*c + c)*(-2*c - 3*c + 4*c).\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4324.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) 5478 (d) -1\/7 (e) 0.4 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -4, -404.\nAnswer: -404, -65, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 43571.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -1.29, 1082, 189.\nAnswer: -1.29, -1, -0.4, 189, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3)*l)**(-2\/19)\/(((l*l\/(l**(1\/6)*l))\/l)\/l**2) assuming l is positive.\nAnswer: l**(227\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l + 8*l - 2*l + 6*l. Let r(t) = t - 2. Let m(d) = d - 3. Let w(f) = 2*m(f) - 3*r(f). Give b(w(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.63 times 10668509\nAnswer: 6721160.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 19*p**2 + 63*p + 44. Let x be s(-1). Let m = 3 - -4. Let q(c) = -c + 10. Let f be q(m). Sort -8, x, f, -5 in decreasing order.\nAnswer: f, x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and 11\/318?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g. Suppose -4*r + 5*b - 25 + 7 = 0, -r - 5*b + 8 = g. What are the prime factors of ((-4)\/(-10))\/(r\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*z - 69, 3*s = -54*z + 56*z - 65. Solve z*r = 35*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 + 355*b**2 - 10*b - 705. Calculate w(-71).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*67\/(-670)*(-55)\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -376 + 325. Find the common denominator of 2 + d\/21 - 54\/126 and -69\/520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.43475 rounded to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14420710 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*g + 4258660 = 65*g. Round g to the nearest one hundred.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/15 + 532*m\/15 + 35378\/15 = 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8382.\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**2 - 558*k - 25947 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3731.660387 and -11843.\nAnswer: -15574.660387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/759 + -5563\/2277. Let a = 143551\/22878 - -4\/1271. Calculate the common denominator of g and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -248330 to the nearest one thousand.\nAnswer: -248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 724 and 3169.\nAnswer: 2294356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -2*u - 1, m = 4*u + 8. Let z = -2291917 - -1184920250\/517. Let b = z + 25\/47. Is m <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 19*y + 12. Let t be 1*-5*(-4)\/(-4)*2. Let k be v(t). Let r be (2 + -32)*(-2)\/5. Solve 3 = -4*g - 3*p, p = -3*g + k*p - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 0 - 384*h**2 - 2\/9*h**5 - 8*h**4 - 96*h**3 = 0. Calculate h.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -625 or 31?\nAnswer: -625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16807\/11 + (-175)\/(-1925)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8*d + 120. What is the remainder when 87 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 6. Let q be o(-4). Suppose 157 = 2*b + x, -q*x + 77 = -b + 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235477, -235368, -235259, -235150, -235041, -234932?\nAnswer: -234823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g + 19. Let x = -4 + 4. What is the units digit of q(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 4\/9 (c) -91 (d) 2 (e) 0.053 (f) -0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(sqrt(75) + 1))**2*-4 + 4.\nAnswer: -300 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Evaluate (-18 + 17)\/(6\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 1\/6*n**2 + 1\/6*n.\nAnswer: (n - 2)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1690507419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**4 + 5*n**2 - 201491*n + 7174258?\nAnswer: 4*n**3 + 10*n - 201491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21978 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*(d\/(d**(-24)\/d))\/d*(((d*d**(-2\/109))\/d)\/d)\/d*d*d\/(d\/(d\/((d\/d**(-36))\/d*d*d))) assuming d is positive.\nAnswer: d**(-1528\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4 - (-21)\/(-7)). Which is smaller: 6\/233 or g?\nAnswer: 6\/233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p - 8. Suppose n + 2 = -3*z + 6, 4*z - 5 = -n. Let s(m) = m**3 - 3*m**2 + n - 4 + 0*m**2 + 1 + 3*m. Calculate s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - c = 2*c - 26, k = -5*c - 2. Suppose 4*h - 35 = 3*n, 4*h + 5 = -4*n + h. Let a = n + k. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.735319ns to microseconds.\nAnswer: 0.007735319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Suppose 4 = -5*f - 4*u + 11, -2*f = 5*u + 4. Let o(b) = -f*b**2 - 3*b**2 - 4*b**2. Calculate o(k(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5754153, -11508316, -17262479?\nAnswer: -23016642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 65. Calculate the remainder when 290\/4*4\/5 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + 2 + 0 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-1 + (-4)\/(-1)). Sort -4\/5, -2, c in descending order.\nAnswer: c, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 27 + 86 - 32 - 1775*a to u*a + s and give u.\nAnswer: -1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409885 and 1617?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (528 - -3) + ((-33)\/(-4))\/(372\/(-496)). Let d be 291\/18 + 1\/(-6). What is the greatest common divisor of d and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/33)*f**(3\/4))**(1\/6))**(-5\/4) assuming f is positive.\nAnswer: f**(-1115\/3168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n - 33*n - 399 = 0. Put 1, -3, n in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 11*i**3\/6 + i**2\/2 + i. Is 18 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-51) + 8\/12 + 2. Let a(i) be the first derivative of 7\/2*i**2 + 0*i - 1 + i**r. What is the second derivative of a(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/7 or 3\/483857?\nAnswer: 3\/483857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -117.0384. What is t rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945*i**2 - 146*i**2 - 413*i**2.\nAnswer: 2386*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((28 - 31) + -2 + 29)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281 + -60. List the prime factors of c.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -u + 3*u - 34, p - 26 = -2*u. Let x(j) = 65 + 33 + 10*j + 34 + 4*j**2 - 3*j**2 + 13*j. What is the least common multiple of x(-14) and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5819 and 43907.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2042 - -52?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -4151534?\nAnswer: 4151525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - 65. Let f = 89.1 + u. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*g*t**2 - 52*g*t + 12*t wrt t.\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, -99, -140, -181, -222?\n\"Answer: -41*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12*m**2 - 1965*m - 75. Let o(p) = 2*p. Calculate k(o(j)).\nAnswer: -48*j**2 - 3930*j - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 (base 5) in base 4?\nAnswer: -3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16998 divided by 8499.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 95*i**2 + 79*i**2 + 83*i**2 + 64 - 64. Let j(g) = 2*g. What is j(y(f))?\nAnswer: 514*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78683 is divided by 78673?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-6696)\/(-81)))\/(2\/(-32)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 109. What is the remainder when p is divided by 0\/2 + (6 - -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*w + 784*w - 6847*w**4 + 6849*w**4 + 104 wrt w?\nAnswer: 8*w**3 + 757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.28 in 8, -2\/57, 1\/5?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172529.682 - -172383. Round v to the nearest integer.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 4*z + 4*z)*(0 - 2 + 1) + 700*z**2 - 10 - 6 + 13.\nAnswer: 701*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -238?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g**2 + 0*g)*(-7*g - 5*g - 3*g) + (4*g + g - 3*g)*(-3 + 3 + 2*g**2) - 2*g**2 + g**3 + 2*g**2 + 3*g**3 - 4*g**3 + 2*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(2\/13))**0\/((r**1\/r)**(-2\/39)\/((r**(-4\/3)\/r)\/(r**(6\/11)\/r))) assuming r is positive.\nAnswer: r**(-62\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -10. Let u be g\/3*(-54)\/3. Let i = 16 - u. Solve -i*a = -2*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39275 divided by -7.\nAnswer: -39275\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49896 by -4.\nAnswer: -12474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 4560. Suppose 3*z - c = 3*o, 3*z + 2*z = o + 3812. Is z\/14 - 2\/4 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-6))\/(1\/(-3)))\/((-26)\/6)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40787850 - -0.3.\nAnswer: 40787850.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 42 + 54 + 55 - 147.\nAnswer: -20*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.5 (c) -0.08 (d) -15\/109 (e) -22 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1153.45, -2.\nAnswer: -2, 3, 1153.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 10 + 8 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*c - 4, -3*n + 6*n + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 8613186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0 + 3*j + 1 - 1. Let o(b) = b**2 - b**2 + 3*b**2. Determine g(o(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153) - (sqrt(153) - (sqrt(153)*-2 + sqrt(153))*-1))\/(sqrt(225) - sqrt(225)*2 - sqrt(225)))**2.\nAnswer: 517\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3459*u - 171677 = -40235 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25542 divided by 1?\nAnswer: -25542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/55 - 16\/55. Let i be (40\/52)\/((-140)\/(-10010)). Which is the second smallest value? (a) 0 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/((-12)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -220*s - 4. Let p be l(-4). Let d be p\/(2 - -1) + 0. Let j = d - 149. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421503 is divided by 1124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (50\/40)\/(45\/8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4 (c) 1\/2 (d) -1\/5 (e) -288\/25 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 5:14 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1391255678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*i - 7, -i + 17 = o + 4*i. Suppose -o*v + 5 = -5. Let x be -1 + (-2)\/7 + 1. Which is the third smallest value? (a) x (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) - (3*sqrt(304))**2*-5.\nAnswer: 4*sqrt(19) + 13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -211*f - 46. Let o be x(-4). Let m = o - -368. Calculate the greatest common divisor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ryrgrgyggyggg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-484)\/(-1331))\/(1\/33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**4 + 2*y**3 - 5*y**2 - 2. Let b(j) = 26*j**4 + 11*j**3 - 24*j**2 - 11. Let k(n) = -6*b(n) + 33*m(n). Find the third derivative of k(g) wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in 5, 2\/3, -3\/19, 0, 3\/7?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419367, -419368, -419369?\nAnswer: -419370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77\/6235 or -119?\nAnswer: 77\/6235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4764 - -9325. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v + 585. Let z be q(-83). Let y be 1 + 1 + (0 - -18). Solve z*b = h + y, 25 = 5*b + h - 3*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*((v*v**6)\/v)\/v*v)\/v)\/(v**(-2\/7)\/v))**(26\/7)\/(v**(1\/4)\/v**5*(v**(2\/5))**(-50)) assuming v is positive.\nAnswer: v**(10883\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2192735171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3988 - 1996 - 1992 + y**2 - 9*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k**2 + 12. Does 11 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15780508.7 and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -17*l**3\/3 - 147. Let r(o) = -2*o. What is g(r(s))?\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5354, 9192, 13030, 16868?\nAnswer: 20706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 + 98103*r + 35505366 = 0?\nAnswer: -358, 33059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133120 and 151190?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196650 - 198302.67. Let d = 1646 + b. Let p = d - -5.7. Round p to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/1587 (b) 12 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g - 4*u - 288, 3*g + 2*u = 211. Let d = g - 211\/3. Determine h, given that d*h + h**2 - 1\/3 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.415922\nAnswer: 0.0831844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3 - 11160*b**2 - 7795248*b - 15545888 = 0.\nAnswer: -1394, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211133 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 107185 (base 11) to base 3\nAnswer: 22122222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**7\/504 + 5*w**6\/48 + 2*w**5\/3 - 2*w**4 + 4*w - 4. Let l(h) be the third derivative of r(h). Factor l(i).\nAnswer: -5*(i - 16)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 88 = -3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 225*c**2 + 90*c - 22680.\nAnswer: 5*(c - 9)*(c + 12)*(c + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/2 - 46*s**3\/3 + 190*s**2 + 928*s + 714. Factor x(w).\nAnswer: -2*(w - 8)*(w + 2)*(w + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t + 7. Suppose -f + 1 = -c, 2*c - 1 = -2*c + 5*f. Let m be u(c). Let q = 15 + m. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-91) - 178\/(-7). Let s = 23 - x. Let c = 168 - s. Round c to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-7)\/((-21)\/(-675)). Let c be -5*(-8)\/20 - d. Suppose -2*x - 57 = -c. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 0)*(8 - 2 - 3) + (3 - 1 - 3)*(0 - 3 + 4))*(-7 - 12*z - 13 + 21).\nAnswer: 120*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.751678 less than -4?\nAnswer: -1.248322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14235 + 9.32606.\nAnswer: 14244.32606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 + 135.549. Let o = z + 0.361. Which is the fourth smallest value? (a) -1\/2 (b) 0.5 (c) 0 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6054\/13 - 466. Let o = 3\/52 + x. Let n = 0 + -1. What is the nearest to 1 in 4, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803556 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s)**(-43)*s**(2\/3)\/((s**(2\/27)\/s)\/s) assuming s is positive.\nAnswer: s**(6085\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 21 = 3*x, -2*x + n + 12 + 3 = 0. Let y be 55\/(-35) - x\/(-14). Let g be -2 + (2 - 0) + -1. Is g greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 5:28 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191771541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -21*(47\/(-4) + 10\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1646, 1641, 1628, 1607, 1578?\n\"Answer: -4*o**2 + 7*o + 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 49*l**3 - l + 64*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 127.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76.4 - -76. What is the closest to 1\/3 in -3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*g + 619 = -861. Let o be 1 - 1*3\/3. Let m be 5*(-1 - (-3)\/5). Put g, m, o, -1 in increasing order.\nAnswer: m, -1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3217 + 6*j - 6*j + 2*j**2 + 12*j - 3229 to g*j + p*j**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70289*h**3*w*z - h*w**2*z + 2*h*z + w**2*z - w + 538005*z wrt h.\nAnswer: 210867*h**2*w*z - w**2*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40850\/1720*24\/19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/32303, -3\/413, -0.4 in increasing order.\nAnswer: -0.4, -3\/413, -2\/32303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 37. Suppose -2*m - y + 102 = 0. Let u(f) be the first derivative of -f**4\/4 + 3*f**3 - f**2 + 7*f - 6. Determine u(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21416177\/3 not equal to -7138727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-238)\/(-4) - (2\/4 + -2). Suppose -h = -4*a - a - 23, 5*h + 2*a - n = 0. What is the smallest common multiple of 3 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 * 23\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 69. Let n = 28.3 + k. Which is the closest to 1? (a) 0.5 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8054, 8039, 8024, 8009, 7994?\n\"Answer: -15*k + 8069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4172, 8334, 12486, 16628?\nAnswer: 20760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 92671*d**2 + 92612*d**2 - 18 in the form g*d + b*d**2 + t and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-3 + (-1 + -4*sqrt(1539) - (-2 + sqrt(1539) + 4))))**2 + -1.\nAnswer: 3780*sqrt(19) + 346470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 7*z**2 + 10*z - 11. Calculate t(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.83 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 - 187. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19867.221 months?\nAnswer: 165.560175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/11655*-35)\/(4\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = 5*j, 0 = -4*u - 3*j + 4*j + 13. Let o be (-5 + 1)*(-2 + u). Let g(h) = h**3 - 4*h**2 - 7*h + 7. Let t be g(5). Is o at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/100)\/(((-56)\/20)\/(-7))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 6*o - 57. Let m be k(-15). Let u = m - 243. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32e31 (base 16) to base 5.\nAnswer: 23132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -141689391?\nAnswer: -7\/141689391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.97 times -1\nAnswer: 3.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 - 2. Let r(h) = 1. Calculate r(y) + v(y).\nAnswer: -y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1 - sqrt(132))\/sqrt(12) + sqrt(11) + (3*sqrt(539))**2.\nAnswer: sqrt(11) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z + 5. Let q be o(-2). Let m be (-2)\/(-13) - 2724\/q. Suppose -4*r + m = r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -1\/30*g**4 + 2\/5*g**2 - 2*g + 2 - 1\/15*g**3. Let u(f) be the first derivative of v(f). Factor u(q).\nAnswer: -2*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44617392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 36762.8\nAnswer: 36763.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 - (-18 + 17)) - (-35 - 0)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 44*q - 479. Let w be x(21). Let t be ((-3 - -2) + 0)*1. Put -2, w, t in ascending order.\nAnswer: -2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143414.11 * 0.3\nAnswer: 343024.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6 and 616209984.\nAnswer: 616209982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4228 or -4175?\nAnswer: -4228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 60.7227.\nAnswer: 61.2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242\/3 - -80. Let r = -12303 - -12304. Which is the nearest to 10? (a) r (b) l (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + 27*l + 26. Give y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/36720 and 31\/612.\nAnswer: 36720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -26*d**2. Let b(i) = 2*i + 1. Determine n(b(q)).\nAnswer: -104*q**2 - 104*q - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005*p + 602*p + 5863*p - 149*p + 6251*p.\nAnswer: 13572*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 4. Let s be w(4). Suppose 48 = 4*t - 2*j, -t - t + s = j. Suppose 0 = -3*v + 4*v - 14. What is the smallest common multiple of v and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 52. Let n(r) = r**2 - 3*r - 40. Let j be n(8). Is o(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0219 - 0.0219. What is the nearest to 3\/5 in -0.4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245206 is divided by 508.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*f - 10*f**3 - 775 + 383 + 391 - f**4 as z*f + p*f**3 + d*f**4 + o + q*f**2 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3415 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10 and 1\/402.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 53?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 - 33*r**2 + 72*r**2 + 184*r**3.\nAnswer: 184*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16151164\/13 + 53815566583\/43316. Let c = h - 2\/2499. Find the common denominator of c and 81\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321\/13 - -6922\/273. Let d = h + -154\/3. Let r(p) = -p**2 + 88*p - 1649. Let k be r(61). Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:19 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (-93)\/(-101))*-3 and 246\/(-20)*(-197)\/(-197).\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 387*i**2 - 191*i**2 - 200*i**2. Let v(p) be the second derivative of p**6\/360 - p**4\/12 + p. Let r(c) be the third derivative of v(c). Give r(j(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*h = -15, -5*n + 64 = 2*h - 3*h. Let u(z) = -4*z. Let y be u(-1). Suppose -2*j = -i - y, 5*j - 3*i = 2*i + 10. Solve 0 = j*d + 5 - n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12054 rounded to 3 dps?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (7 + -13 + 9 + (2 - 0)) - 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7252)\/(-120) - 3\/5. Let o = x + -60. Put -1\/4, -0.2, o in decreasing order.\nAnswer: o, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1057*d + 0 + 4 - 6.\nAnswer: -1057*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24730, 24169, 23222, 21889, 20170, 18065?\nAnswer: 15574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 22*x**3 + 8\/5*x**4 + 444\/5*x**2 - 442\/5*x = 0. What is x?\nAnswer: -1\/4, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1341 - 1339. Let i(v) be the first derivative of -4\/3*v**3 + 3\/2*v**g + 8 + 0*v + 1\/4*v**4. Let q(f) = -3*f**2 + 2*f. Determine -2*i(d) + 3*q(d).\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3*f**2\/2 + 2. Let m be s(-1). What is the remainder when (-1)\/m + 226\/6 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*p**2 + 11*p**2 - 6*p**2 - 18*p.\nAnswer: -88*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 - -0.3. Let i = 2 - a. Let w be (-3*(-24)\/(-18) - 2) + 48\/8. Sort w, -3, i, 0.06.\nAnswer: -3, i, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/((-26712)\/108) + 1199\/5390?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -8, 0.5 in increasing order.\nAnswer: -8, 2\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 34*t**2 + 6605*t - 39649. Calculate u(6).\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4115841?\nAnswer: 3, 1371947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32635 is divided by 170.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1007 + 13*o + 1011 - 3*o**2 + 3*o**3 - 2016 to the form p + s*o**2 + n*o**3 + z*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 7. Let d be v(-5). Suppose 3*t - 299 = d*t. Let y be 700\/(-3)*(1 + t). Round y to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 18, 5*o - 4606 + 4636 = -2*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.3 - 10. Suppose -3*g = 6 - 0. Let u be (g\/8)\/(6\/3). Which is the nearest to -1\/2? (a) -4 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + 1*(-4*5*(sqrt(200) + -2) + 2))**2.\nAnswer: -17200*sqrt(2) + 81849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (87 - (128 - 27) - (0 + -42)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 10. Let r(k) = 3*k + 9. Let h(c) = 5*p(c) - 6*r(c). Calculate h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172237 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -14491*x**4\/2 - 130415*x**3\/2 + 18*x**2 = 0.\nAnswer: -9, 0, 4\/14491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.1 - 20.5. Let o = 8 - 8.7. Sort -0.2, o, w in descending order.\nAnswer: -0.2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*z - 19 = 0, -5*z = -81*i + 79*i - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 26. Let g = -14 + f. What is the remainder when 28 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 361 + 125. Which is greater: -53 or n?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**3 + 67*d**2 - 81*d - 19. Determine f(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*3\/6 + 6 + -2. Sort n, -1, -293, -4 in ascending order.\nAnswer: -293, -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by -4.\nAnswer: -189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18127.44 milliseconds in minutes?\nAnswer: 0.302124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 27*z**2 - 16*z - 6. Let g(u) = 25*u**2 - 18*u - 7. Let h(y) = -8*g(y) + 9*t(y). Let j(n) = -22*n**2 - 1. Determine 4*h(x) + 7*j(x).\nAnswer: 18*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + 2*d - 3. Let y be (-6)\/(-2) + (-16)\/8. Let k be r(y). Solve 6 = -k*u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2352 divided by -588\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -943*t + 160 wrt t.\nAnswer: -943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/2685 and -157\/10740.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.108737 nanometers in meters?\nAnswer: 0.000000009108737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1127 - -1122. Sort 3, 4, 5, c in ascending order.\nAnswer: c, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20244 divided by 7?\nAnswer: -2892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*o + 2*f - 22, 202*o - 69*o = 73*o + 66*o - 3*f - 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1427 + 1060?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.73 + -0.53. What is the third biggest value in y, 2, -0.5, 102?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164045*o - 164043*o + 4*t - 8 = 0, 0 = -o - 5*t + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3139956926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, u: 2, s: 4}. What is prob of picking 1 s and 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/7*(-2)\/(-3) - (-2 - -12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-33)*-2*(-108)\/32. Suppose 5*a - 150 = 4*o - k*o, a - 26 = 3*o. What is the remainder when 752 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -41*i**3 + 4*i**2 + 128*i - 129. Give y(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 5*v + 18, -4*t = -4*v - 16. Let w(r) = -6 + 4 - 2*r**t + 2. Let h(x) = 2*x**2. Give w(h(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4913295 to 4 decimal places.\nAnswer: -0.4913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 936 (b) 42 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Suppose 0 = -4*l - 0*l + 12, 0 = 4*n + 2*l - 30. Determine x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (-2 + 0 + 4)\/(5\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -2, -1\/7, -3167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7.24. Let r = s - 0.74. Let b = 12\/31 - -2\/155. Sort r, b, -1\/3.\nAnswer: -1\/3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*o = 8, 5*o - 16 = 5*j - 3*j. Let i(u) be the first derivative of 1\/8*u**4 + 0*u - 1\/4*u**j + 1\/10*u**5 - 1\/6*u**3 + 1. Solve i(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1598721*c**3*y**3 - 3*c**3*y**2 - 24*c**3 + 2*c**2*y**2 + 2*c - 1562*y**2 wrt y?\nAnswer: 9592326*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - 17\/(-3). Let t(y) = y**2 - 7*y + 8. Let i be t(x). Suppose r = 3*l - 318, -l + 47 = -i*r - 59. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {r: 6, s: 13}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-45))\/((126\/6)\/(-378)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(10 - 810\/80). Let m = 16 - 9. Put x, m, -5 in descending order.\nAnswer: m, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, h: 2, a: 1, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20039 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 3865?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 142*a**2 + 59*a + 6. Let q(f) = -142*f**2 - 60*f - 5. Let j(b) = 7*q(b) + 6*y(b). Find the second derivative of j(d) wrt d.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252371026 to the power of 1\/2, to the nearest integer?\nAnswer: 15886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)\/p)\/p)\/p**(1\/5)*p**(-2\/3)\/(p\/(p\/(p\/p**(1\/8))*p)))\/((((p*p\/p**(-3)*p*p)\/p)\/p**(-2\/11))\/(p**(4\/3)*(p*p**2)\/p)) assuming p is positive.\nAnswer: p**(-6719\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 + 14*v**3 - 46*v**3 + 17*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/201109014 and -127\/7886628.\nAnswer: 402218028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6756 - 6751.8. What is the second smallest value in -4, -0.3, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 87, -0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(44)\/(sqrt(12)\/sqrt(3))))**2 + (sqrt(1452) + 1 + sqrt(12) + (sqrt(24)\/sqrt(2) - sqrt(12))*-5)**2.\nAnswer: 48*sqrt(3) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-15) - 600\/(-500))\/(1800\/216)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 1\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/115, -1, 2\/5, -3 in decreasing order.\nAnswer: 2\/5, -2\/115, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12492 and 45\/6268.\nAnswer: 19574964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157177813.\nAnswer: 13, 37, 326773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 + 292. Calculate the lowest common multiple of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 3*h - 4*h)*(0 + 2*h**2 + 0 + (-h - h + 0*h)*(-2 + 2*h + 2) - 2*h**2 + 5*h**2 - 4*h**2 + h**2 + 2*h**2 - 5*h**2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxyxxxxxxxyx. What is prob of picking 1 y and 3 x?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 7*o - 7. Let u(i) be the second derivative of -i**4\/6 + i**3 - 3*i**2 + 44*i. What is -4*s(l) + 5*u(l)?\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - y**2 + 5*y**3 - 4 + 2*y**2 + 8*y**4 - 6*y**4 + y**2 to the form i*y**4 + v*y**3 + n + j*y**2 + l*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 74*d + 42*d = 0. Let k(h) be the second derivative of 1\/21*h**4 + 1\/21*h**3 + 0 - 3\/70*h**5 - 32*h + d*h**2. Factor k(w).\nAnswer: -2*w*(w - 1)*(3*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859357?\nAnswer: 4859357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 100*t**2 - 1. Let z be f(1). Suppose 3*l - z = 3*a, -4*a + 157 = 4*l - 3*a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7 - 4*a**2 + 4 in the form o*a + z + i*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*g + 12*a, -2 = -3*g - 2*a. Differentiate 64 + 70 - 19*i**2 - 23 - i - 38*i**g wrt i.\nAnswer: -114*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 32. Suppose -4*m + 2*q = -66, q + 50 = 4*m - m. Let x(d) = 37*d - 21*d - m*d. Determine x(v(i)).\nAnswer: -2*i - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5688*n - 189215 + 843335 for n.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, d: 1, u: 2, h: 1, j: 1}. What is prob of picking 1 a, 2 j, and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 2. Let j(p) = 15*p**2 + 69*p + 114. Let a(o) = -6*b(o) - j(o). Factor a(g).\nAnswer: -3*(g + 2)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + v = 10, 0 = 4*v - 14 - 2. Let u be (4\/8)\/(l\/(-16)). What is the second derivative of 7*z - u*z**2 + 0*z**2 - 2*z**2 + z**2 wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13486*i = 12922*i + 58656 for i.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2374978 * -0.1\nAnswer: 237497.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 24*x**3\/5 - 69*x**2\/5 - 18*x.\nAnswer: 3*x*(x - 3)*(x + 1)*(x + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -5)\/(1\/2). Suppose -16 = -2*g + f. What is the remainder when 23 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -871229, -871227, -871225, -871223, -871221, -871219?\n\"Answer: 2*u - 871231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c. Let j(n) be the first derivative of -5*n**2 + 1. Suppose 0 = -d - 2*m + 31, -4*d - m = m - 106. Let g = -23 + d. Calculate g*j(k) + 7*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f - 274 = 38 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Suppose 3*t - 36 = -2*t + z, w*z + 12 = t. Suppose 4*d = -16 + 68. What is the remainder when d is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 691, 682, 659, 616, 547, 446?\n\"Answer: -y**3 - y**2 + y + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-106))\/(6\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(209) - ((sqrt(209) + (sqrt(209) - (sqrt(209) + (sqrt(209) - 3*sqrt(209)) - sqrt(209))))*3 - sqrt(209)))\/(5*sqrt(704)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r - 9*r**2 + 1\/30*r**5 - 1\/120*r**6 - 14 + 67\/2*r**3 + 0*r**4. Find the first derivative of k(h) wrt h.\nAnswer: -3*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t**2 + 9*t - 6. What is the tens digit of p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 28 (c) 0 (d) 1\/2 (e) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2 - 2)*(6*d**4 + 8*d**2 - 8*d**2) + 6*d**5 - 11*d**5 - 39*d**5.\nAnswer: -74*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 + 292. Suppose -2*s - 3*s = 5, w = -4*s + u. What is the greatest common factor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/35*(-5)\/2. Put -16, 1\/2, t in ascending order.\nAnswer: -16, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.17 - 1.1. Let q = -60 - -78. Let n be 42\/189 + (-58)\/q. Which is the closest to j? (a) n (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 9*w - 6. Let x(m) be the first derivative of -m**4\/4 + m**3\/3 - 5*m**2 + 6*m + 1. Let l(v) = 7*o(v) + 6*x(v). Suppose p + 10 = -p. Give l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7\/8)\/(208\/624).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12. Suppose 3*f - 41 - 400 = l. Let g = -96 + f. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/6)\/((-15)\/250). What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 - 80\/(-250)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-16))\/(28\/16 + -1). Solve o = 2*o + 3*b + 14, -10 = -h*o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -135 - ((-1 + -12 - 5) + -1).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27*(-33)\/77.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 - 3*p + 27. Let v(c) = 4*c + 14. Determine -14*u(a) - 3*v(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-44)\/(-20) - (-4)\/(-20)). Suppose 0 = -j - n, -3*j = t - 972 - 235. Let i = t + -341. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*m + 9 = 0, 44 - 17 = 3*a - 2*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, -6\/7, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*l, -4 = 4*z + 19*l - 24*l. Solve 2*j + 2*j = o + 16, -4*o + z*j - 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2905546, -2905436, -2905260, -2905024, -2904734, -2904396, -2904016?\nAnswer: -2903600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - w = -4*w - 116, 21*w + 84 = 0 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/564 and 8\/316827?\nAnswer: 1267308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -8*x + 5*x. Let r be x\/(-2) + (-2)\/4. Let l = 33 + r. What is the least common multiple of l and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2481, -2343, -2203, -2061, -1917, -1771?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 11 + 0*s + 9*s**2 + s. Let g be t(-5). What is the highest common factor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -43*b + 2. Let k(c) = -861*c + 41. Give 41*a(o) - 2*k(o).\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246\/5 - 59969\/1220. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84789791 and 2381.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + 58. Let i = k - 33. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 457446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 51, 74, 117, 186?\n\"Answer: r**3 + r**2 - r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 36*i + 63. Let b be c(35). What is the nearest to 6 in -2, -1, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 + 3*a**2)*(-2*a + 4*a - 4*a)*(-2 - 5 + 3)*(-a**2 - a**2 + 3*a**2).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5237710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 797 + -533. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -6, 4021.7, -1\/14, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1845 and -722.469252.\nAnswer: 1122.530748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 6*f - 7. Suppose a - 3*y = -19, -4*y + 7*y = 5*a + 47. Let x be q(a). Let z(d) = -d**3 - 5. Determine z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*b)**(-2\/31)*(b**1*b)\/b**4*(b*b**(-7))\/((b\/b**2)\/b)*(b**(-2\/9))**(8\/11) assuming b is positive.\nAnswer: b**(-19306\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*f**3 - 182*f**3 - 83*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 14*h**2 - 8 - 1.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/52 and 8 - ((-34038)\/(-90))\/31.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x - 150. Is k(12) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32b85 (base 16) to base 6.\nAnswer: -4241445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.5 + 19. Let l = n + 10. Let w = -4.5 + l. What is the closest to 2\/3 in 1, w, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59392426 and 14.\nAnswer: -59392412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 11070.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15366 divided by 71?\nAnswer: -15366\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 3*z = 30. Let r be 150\/4 + (-1)\/z. Suppose 2*x + q = 280 + r, 150 = x - 4*q. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 27*t\/2 - 14.\nAnswer: (t - 1)*(t + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/12 - 182\/(-42) - (-2 + 7). Let l(o) be the second derivative of -1\/16*o**4 + q + 0*o**2 + 1\/40*o**6 - 14*o + 0*o**5 + 0*o**3. Factor l(h).\nAnswer: 3*h**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let i be -2 - (-3796 + (-12)\/(-4) + -4). Let x = 671713\/177 - i. Is x greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 4*v = -7359, -4*q + 2*v + 9812 = 0. Suppose -10*a = -q - 27. Let k = -24 - -55. What is the highest common factor of a and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 (base 12) in base 16?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 14*q + 546. What is z(-21)?\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 43 + 59)*(z + 1 - 1)*(z - 2*z + 3*z).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -34 - 3802. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19054498*b**2 - 11282314 wrt b?\nAnswer: 38108996*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544211024 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*u + u. Let s be 2*(-6)\/9*3. Let t = u + s. Solve -5*j = -2*y + 9, 0*j - 4*j + t = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 1, e: 1, r: 6, j: 3, m: 1}. Give prob of sequence ude.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 402 divided by 67\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 4*l - 8. Let s(q) = 11*q**2 + 9*q - 17. Let d(b) = 13*r(b) - 6*s(b). Suppose -3*a + 5 = 17. Calculate d(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/384 and -71\/132.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.9899 millennia in months?\nAnswer: 767878.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4 - 19. Let y(l) = 10*l - 6. Let t(f) be the third derivative of -7*f**4\/24 + 2*f**3\/3 - 1081*f**2. Give o*y(s) + 7*t(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*b + b, -b - 6 = -3*y. Suppose 2*w - 197 = -3*x, -y*x = -2*w + 2*x + 221. List the prime factors of w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*o = 35, -4*u + 5*o - 51 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -632, 3 in decreasing order.\nAnswer: 3, -2, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/4 - -2)*-1. Let u be ((-11)\/(-22))\/(w\/12). Is u\/5 - (-25156)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000116285 rounded to 6 decimal places?\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -11233212?\nAnswer: -11233233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8644*s**2 + 2*s + 1. Let q(x) = -x. Give q(z(b)).\nAnswer: -8644*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c - 668*c = 485*c + 73272 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -43*i + 5. Let a(s) = 15*s - 2. Give 8*a(n) + 3*x(n).\nAnswer: -9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67243*z**2 - 1846 wrt z.\nAnswer: 134486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8868*w**2 - 21*w - 11 wrt w.\nAnswer: -17736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {w: 1, y: 6, q: 2, j: 3, p: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1163629 by -48.\nAnswer: -1163629\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4\/4 - 45*d**3\/4 - 243*d**2\/4 - 555*d\/4 - 225\/2 = 0.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/51)\/(c*c\/(c\/((c*c**(-5\/2)*c)\/c))*c) assuming c is positive.\nAnswer: c**(-55\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -12. Let c(s) = 8*s**3 - 41*s**2 - 12*s + 19. Let h(a) = 3*a**3 - 14*a**2 - 4*a + 6. Let d(l) = r*h(l) - 4*c(l). What is the tens digit of d(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751951 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276*b**2 - 15*b**2 + 205*b**2 - 335*b**2 - 313*b**2)*(-36 + 65 - 32).\nAnswer: 2202*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2*v - 7*v + (5*v - v + 0*v)*(-4 - 1 + 1) - 15*v - 2 + 2 to d + z*v and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 92. List the prime factors of (-3924)\/j + 4\/6.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 14) + (-4)\/(12\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1337, -15, 1, 35.3 in ascending order.\nAnswer: -1337, -15, -1\/2, 1, 35.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 5*a, -4*u + 128*a + 23 = 127*a. Solve -3*k - u*j = -26, -22 = -26*k + 23*k - 4*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 13) + 21 - (0 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 1061916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/7)\/((14\/((-3094)\/(-51)))\/(-7))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63337715 divided by -152621.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -158578 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36590 and -33.\nAnswer: -1207470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-22)\/(-4)*(7 - 1) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 2*p + 22 + 18 - 43 to the form c + q*p and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82466, -164933, -247400, -329867?\nAnswer: -412334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 8. Suppose n + 0*n + 25 = f*c, 2*n - 5 = -3*c. Let w(k) be the third derivative of k**4\/24 + k**3\/6 + 2*k**2. Determine w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrereeeeeeee. What is prob of picking 1 r and 1 e?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1187, -4\/5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -213 + 240*i**2 - 279 - 242*i**2 - 55 as h*i + q + j*i**2 and give q.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 4. Suppose 2*u - 8 = -2. Suppose -5 = -4*k + u*k. List the prime factors of c(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2660535 to three dps.\nAnswer: -1.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g + 229 - 61*g - 229.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = 63. Let f be (l\/15 - 1) + 6\/10. Is 1\/43 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/5208*-31 - 457654\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, a: 10, i: 4}. Give prob of sequence iri.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:08 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/1343 or 1?\nAnswer: -8\/1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 17*q - 34. What is the remainder when 151 is divided by s(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1026589.\nAnswer: -410635.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*d - 657 = 0, -2*d - 1111 = -5*a - 3*d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/((-512)\/(-256)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774*z**5\/7 - 32658*z**4\/7 - 26674*z**3\/7 - 6782*z**2\/7 - 516*z\/7 = 0. Calculate z.\nAnswer: -1\/3, -6\/43, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n)**(-31) assuming n is positive.\nAnswer: n**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + 159 - (1 + 1 + (-3 - -6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**2 - 1. Let x(r) = -13*r**2 - 1. Determine -6*c(z) + 7*x(z).\nAnswer: -7*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3512532802.\nAnswer: 2, 337, 5211473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 107?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u - 1. Let n be w(-3). Suppose n*z = 5*z + 3*c, 3*c = 15. Is z bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3337241853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.2, -2\/22385, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 5. Let o(k) be the second derivative of 1\/6*k**4 + 13\/6*k**3 - 27 + 9\/2*k**2 - k. What is -3*o(s) - 5*q(s)?\nAnswer: -s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10\/u**2)**(-9\/5) assuming u is positive.\nAnswer: u**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose 20 = 6*m - 10. Suppose -m*p + r + 56 = -2, 0 = 2*p + 5*r - 7. What is the smallest common multiple of p and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*k - 0*k, 0 = -2*k + d - 8. Let n(s) = 2*s**2 + 8*s + 4. Calculate the smallest common multiple of n(k) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9321 - 9221. Calculate the greatest common divisor of i and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 46844.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 2*j - 28, -3*k - 38 = -2*j. Suppose 8*i + 63 = -0*h - 5*h, 5*h = 5*i + 15. What is the units digit of (-125)\/k*i\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Suppose -1 - 5 = -c*p. Let a be (3 - p)\/1 - -2. Solve -a = -3*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59, -190, -385, -638, -943, -1294, -1685, -2110?\n\"Answer: c**3 - 38*c**2 - 24*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 69. Which is smaller: 43 or n?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 5*d**2 - 8*d**2 + 3*d**2. Let k(b) = -4*b**2. Determine y(k(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120054 = -672*j + 750*j + 1099*j for j.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-6))\/(-23) - (-32)\/9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-7843)\/(-1650) - 1\/(-6))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(169\/39)*(-208)\/(-24). Let g = -4280 - -25517\/6. Are t and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1935*q - 5 = -5*v + 1938*q, -3*v + 2*q = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 4*c + 25, -2*m - c + 4 = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.0389 decades to millennia.\nAnswer: 1.680389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87521.95073105772 + -2.06828204228. Let v = a + 87524. Let x = 0.019 + v. Round x to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -23, 3\/4, 4, 1.9 in ascending order.\nAnswer: -23, -0.9, 3\/4, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5900*t + 9 - 5901*t - 3*t**2 + 5*t**2)*(-4*t**3 + 5*t**3 + 0*t**3).\nAnswer: 2*t**5 - t**4 + 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 2\/5 (c) 3.18 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -257, -357, -435, -485, -501?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 80 = 3*u, 3*u = -u - 3*y + 107. Suppose u*a - 20*a = 1278. List the prime factors of a.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-6))\/((-1)\/6). Let l = j - 6. Find the second derivative of 2*a - 9*a + l*a**4 + 6*a wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + l - 1. Let x be w(1). Let p(y) = -44*y**2 - y + 17. Let m(o) = -11*o**2 + 4. Let z(b) = x*m(b) + 2*p(b). List the prime factors of z(-2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/11))**(-4\/19) assuming x is positive.\nAnswer: x**(-32\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-59292.\nAnswer: -2371.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 1\/3 (c) 3 (d) -1 (e) -3\/5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 10, 26, 50, 82?\n\"Answer: 4*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -43231424?\nAnswer: -43231421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1203675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 2. Suppose -d + 19 = s. Which is the closest to 0.3? (a) d (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a + 20. Find the common denominator of 142\/24*a\/(-6) and 119\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2. Let b = 383 + -379. Let v(n) = -n + 1. Let r(d) = b*v(d) - 3*z(d). Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v + 3*s, 4*v + 4*s - 2*s = 14. Suppose 2*b = v*b. Let t be ((-4)\/10)\/(2\/(-10)). Solve -i = -b*i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30467 divided by 3.\nAnswer: 30467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 16*h**2 - 19*h + 22. Let u be w(16). Let t = u - -310. What is the lowest common multiple of 0 + 1 + 1 + 18 and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*y + 54 = 0, 0 = -2*f + 364*y - 358*y + 14 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 15\/(-9))\/(1\/6). Solve 1 = -y, -3*l - c*y - 7 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 4, 1, 18, -3, -9 in ascending order.\nAnswer: -9, -3, 1, 4, 18, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -32*q + 1191. What is the hundreds digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -100, 2, -5 in descending order.\nAnswer: 3, 2, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121352839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*37\/(-5439) - (-9)\/(-378)*-4534?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73650*i + 73652*i - 3*p + 49, -2*p = 9*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*k - 5*k + 10, -18 = h + 3*k. Is -2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/1700)\/((-2)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*a + 3*o, -2*o = -4*a + 5*a + 5. Solve 4*j = -3*k + 11, 0 = 14*k - 13*k - 3*j + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 + d**5\/12 + d**4\/24 + d**3\/2 + d**2. Let j be (0\/(-7))\/(-1*1). Let r(f) = f - 5. Let m be r(j). Calculate i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.6. Let g = 682628\/13 - 52510. What is the third biggest value in q, 4\/3, 5, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1209, -2869, -5635, -9507?\nAnswer: -14485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-608)\/342 - (-20032)\/576) + -71?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94246432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 9*w**3 - 70*w**2 + 13*w**3 - 6*w**3 as p*w**3 + n*w + u*w**4 + k*w**2 + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0*v\/(v\/(v\/(v\/v**(2\/19))))*(v**(1\/2))**37)**(35\/6) assuming v is positive.\nAnswer: v**(26075\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102220120222102 (base 3) to base 12.\nAnswer: 215316b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 6*b**2 - 30*b - 123. Let p be t(-5). What is the smallest value in p, -1\/11, 9, 0.2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 + -303. Calculate the remainder when 67 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 minutes before 5:52 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 + 3*o + 2. Let w(y) = y**3 - 8*y**2 + 5*y + 6. Let p be w(7). Let d be (-38)\/p + 12\/(-16). What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {z: 2, m: 1, y: 1, k: 2, s: 1, f: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsf when four letters picked without replacement from sssfsssssssssssssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 16, -k = 4*k - 5*t - 3775. Let h = k + -168. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 23*y - 21*y + 40, -l - 20 = y. Let n be y\/4 - (0 - 9). Solve -z + n*w = 12, w + 12 = 4*z - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r + 4. Let j(i) = i**2 - 4*i + 3. Let s(h) = 4*g(h) - 5*j(h). Let f be s(1). Suppose -3*k - 1 = -4. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajjjaa. What is prob of picking 2 a and 1 j?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l - 17*l - 51*l to the form y*l + v and give y.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8378131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 22*z**2 + 7 + 16*z**2 + 5*z + z**3. Let p be c(5). Let t be (136\/(-20))\/(p\/(-60)). Round t to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(0 + 1 + 0). Suppose -p = -7*l + 3*l. Is (12\/8)\/(l\/44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from rqvrqvrtqmr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - v - 1 - 16 = 0, -13 = -4*x - 3*v. Let u(d) be the first derivative of 0*d**2 + 3\/2*d**x - 4 - d**3 + 0*d. Find the third derivative of u(f) wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (9\/3)\/3*13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 + 314. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11969 + 9911 = 221*p + 326*p for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let o(b) = 383*b + 10. Let x(d) = 2*d + 5. Let u(r) = o(r) - 2*x(r). Calculate u(m(q)).\nAnswer: 379*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 50*d**2 + 55*d.\nAnswer: -5*d*(d - 11)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 16. Suppose 0*o - o + d = 0. Let x(g) = g + 6. Let b be x(o). Calculate the highest common factor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111994000343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let j = 42 - 25. Let c = 16.95 - j. Sort y, c, -3\/7 in decreasing order.\nAnswer: y, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268.98 - 4.02. Let b = -272 - o. Which is bigger: 35 or b?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -m - 15, 3*m - 2*u - 8 = -1. Suppose -207 - 33 = -m*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**3 - 8*k**3 - 42*k**3)*(4 + 3*k - 4).\nAnswer: -177*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {g: 6, x: 1, b: 2, v: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 883 divide 3567320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.45 + -2.95. Let x = 0.6 + 2.6. Let f = x - 3. What is the nearest to 2 in 3\/4, f, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -270*a + 66. Let n be b(-3). Suppose 3*w - 3*y - 2940 = n, -1275 = -w + 4*y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*195\/26. Suppose 4*p + m*p = 6776. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:22 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*(-15)\/5*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:58 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9507 - -9528. Calculate the remainder when 106 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - 113*z + 12. Determine u(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2 + (-1 + 2 + 0)*(0 + 1 - 4))*(-5 + 5 + 2*x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1135 + 224*m + 1135 to z*m + o and give z.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 22*u + 105. Let r be o(24). Is r less than 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13554 - -13876. What is the remainder when 558 is divided by j?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/(3 - 53\/18). Suppose 5*r + r - u = 0. Suppose -6 = -a - 2*w, 2*w - 3*w = r*a - 3. Solve -3*z - 3 = -a*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754767*p + 754767*p + 75*p**2 + 339*p**2.\nAnswer: 414*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**3 - 1069*t**2 + 6*t + 535*t**2 + 534*t**2.\nAnswer: 30*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = -2*p, -2*p + 2*c + 4 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 70. Let i be (-95)\/v - (-2)\/(-7). Let h = i - -11. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1351 and 579?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0558815 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 2*n + (0 - 2 + 4)*(4*n - 4*n - 2*n))*(-4*n**2 - 9*n + 9*n)*(-80 - 73 - 3) + 2*n - 2*n + n**3.\nAnswer: -3119*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 4 + 49*a**2 - 1.\nAnswer: 49*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*z**3 + 48*z**3 - 54*z**3 + (-z - 3 + 3)*(3 - 3 - z**2) + z**3 + 2*z**3 - 2*z**3.\nAnswer: -106*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -1, 0 in decreasing order.\nAnswer: 17, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37695*v**2 + 42*v**3 - 10*v**4 + 37697*v**2 + 44*v**3 to l*v**2 + a*v**3 + i*v**4 + s + q*v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 14303768.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/676*442\/68. Let t = 0.1 - -0.9. Let s = 0.5 - -1.5. What is the nearest to s in l, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:55 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 e when four letters picked without replacement from {j: 2, h: 4, e: 2, x: 1, q: 5}?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65241*i - 2 + 2 + 65547*i.\nAnswer: 306*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 11 + 4. Suppose 24*b = 7*b. Solve b = f*n - 4 - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 9. Let j be m(-5). Suppose j*h + 9 = 39. Suppose -187*g + 195*g = 40. Is g at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (2 - -13 - (7 - 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:45 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + 0*g**4 + 0*g**4 + 0*g**4 + g**4 - 2*g**4 + (4 + 1 - 3)*(0*g**2 + 0*g**2 + 2*g**4) + (-3*g**3 + 25*g**3 + 27*g**3)*(3*g - 3*g + 3*g).\nAnswer: 151*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41500734 + -7?\nAnswer: -41500743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*l = 7 + 61, -5*b - 5*l = -240. Let m = b + -24. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 + 1015. Suppose -2*i = 3*v - b, -i + 4*v = -3*i + 790. Does 42 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/3 + 406355*t**2\/3 + 812690*t\/3.\nAnswer: 5*t*(t + 2)*(t + 81269)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-17 + 1) - (5 + (91 - 12))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28069 divided by 6210\nAnswer: 28069\/6210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, -2, -331, 1231, 1 in increasing order.\nAnswer: -331, -2, 1, 96, 1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - w - 38 = 0, 3 = q + 2*w - 9. Suppose q*j = -3 + 43. Solve -j*u = -4*s - 26, -3*s - 12 = -2*s - 4*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:06 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3. Let w(f) be the third derivative of 0*f + 1\/12*f**4 + 7\/30*f**6 + 2*f**2 + 17\/30*f**5 - 2\/3*f**i + 0. Solve w(d) = 0.\nAnswer: -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. What is the lowest common multiple of 10 and (0 - -14 - k)\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrirhhhrrrhhhhrhhhhr. What is prob of sequence hh?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.448719428 to five decimal places.\nAnswer: 0.44872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3095*u - 2767*u = -7168*u + 101868 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/120*(-6 + 0) + 1526\/(-28)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(sqrt(2) - sqrt(32))*-3 + 4) + (5*-1*sqrt(288) - -3*sqrt(288)*6))**2.\nAnswer: 8448*sqrt(2) + 139648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/96*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 11 = -5*i, -5*f = 2*i - 1. Let z(o) be the second derivative of -o**4\/12 - 3*o. Determine z(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-9 - (3 - -48))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -408 + 283. Let q be t\/(-36) - 3 - 2\/9. Let g = -1.94 - 0.06. What is the closest to q in -11, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/d**(-33))\/(d**(-9\/2)\/d**36) assuming d is positive.\nAnswer: d**(1033\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**3 + 6*i**3 - i + 5*i**5 wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(50*t**2 + t**2 - 6*t**2) + t**2 - 5*t**2 + 5*t**2 + (0 + 3 - 5)*(2*t**2 - t**2 + 0*t**2) in the form q*t + a + d*t**2 and give d.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51324811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51969*u + 1194914 - 1194914.\nAnswer: 51969*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + o = 3*o + 28, -o = -3*k + 20 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*n + 2*n - 28 = 0, -3*n + 19 = 2*p. Suppose 5*k - 6 = 8*k. Sort 1, p, k in decreasing order.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 46228 = 212278. Suppose 2*j + 5*l - 11 = -27, -l + 6 = 5*j. Suppose j*o = 7*o - d. What is o rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463165 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 426 = 4*o - 256 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 20. Calculate d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28598 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from svpvpsvsvsvs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -90.956. What is n rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -9354, -8, -3, -4, 1 in decreasing order.\nAnswer: 1, -3, -4, -8, -24, -9354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856483691?\nAnswer: 2856483691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13+-68561216\nAnswer: -68561216.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*m - 13584081 + 13583997, 0 = -4*g - m + 76 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.08 + -0.08. Let y = -75 + 76. Let q be (-2)\/(4\/2)*y\/1. Which is the nearest to 2? (a) 3 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54862794163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 + 5*d. Let b be n(-4). Let i = -5 - -6. Let p(a) = 0 + 10 + a - i. Calculate p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252177756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.89 - -95. Let x = -1.11 + s. What is the smallest value in x, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 159. Does 17 divide c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1263.5 + 1234.5. What is the biggest value in 0.2, 2, 0.3, s, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10057, 47745, 85433, 123121, 160809, 198497?\nAnswer: 236185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, 0, -15\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-144)\/(-30))\/(6\/20). Solve 2*x + 4*p + 16 = 0, -5*x - 3*p - m = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjrspt. What is prob of sequence st?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13266586257 - 4.\nAnswer: -13266586261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 + 6*z - 34. Let x be g(5). Let n be -5 + (-12)\/x - (-5 + 3). Find the common denominator of (30 - 3)\/(n + -4) and -3\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, e: 4, t: 1, d: 1}. What is prob of picking 1 r, 1 c, and 1 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 11eff?\nAnswer: 11f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*g + 63. Let f = -29 - g. Solve 0*z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p - 12. Let w = 28 - 28.22. Let h = w - -0.12. Which is the nearest to 3\/4? (a) h (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b9379 + 11?\nAnswer: -4b9368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -98. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0464445 less than -0.054?\nAnswer: -0.0075555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 24215?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 - -1?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 1.8. Let p = 2.06 - 0.06. Let l = 0 - 1. What is the nearest to l in r, 2\/13, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 427*s**2 - 61 - 444*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21619441 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -27*h + 13. Solve -3*o - h*q = 0, 4*o - 4*q = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 + 2*q - 64. Let o be f(9). Suppose 0 = o*r - 203*r. Solve -g + 4*b = 1 - r, 3*b - 18 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/31117128 and 91\/48.\nAnswer: 62234256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 12 - 13 = 4*c, 2*c - 16 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-7)*30\/75.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18873 is divided by 2347?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19 - -20)*(70 + 1). Let p = r + -38. Calculate the lowest common multiple of p and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1279675, 2559131, 3838587?\n\"Answer: 1279456*j + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 15b?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 10*v**4 + 1295*v**3 + 1920*v**2 = 0.\nAnswer: -128, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011001100000110 + 100?\nAnswer: 10110011001100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/5)*s)*s)\/(s**(2\/23)\/s))**(1\/35) assuming s is positive.\nAnswer: s**(197\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98650 by -49325.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2948*u**5\/5 - 4*u**2 - 45*u + 2473. What is the second derivative of s(w) wrt w?\nAnswer: -35376*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 11 (b) 267.56 (c) 2 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/(-3) - -1)*-3. Let j = 31 + g. Solve -p = -b - 4*b - 9, 0 = -2*b + j*p - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -582, -586, -592, -600, -610, -622?\n\"Answer: -j**2 - j - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + -2 + 1.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4993179 is divided by 217.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98626, 98625, 98624?\nAnswer: 98623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-2) + (-4 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 5. Let m(s) = 3*s + 2. Let i(r) = -r**2 + 4*r + 2. Let t be i(0). Calculate t*n(l) - 5*m(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.180801974 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 5*v**3 - v**3)*(-v - v + 4*v)*(0*v + 2*v - v).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1. Let f(k) = -k. Let p(o) = -f(o) + 6*v(o). Let g be p(9). Factor 0*h + 0 - 1\/4*h**2 + 1\/4*h**g.\nAnswer: h**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -171, -103, -17, 93, 233, 409, 627?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 8, t: 5}. What is prob of sequence rrtt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-48) + 123\/(-82))*552\/115.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/5, 57053.\nAnswer: -3\/5, 0, 57053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:16 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3) - sqrt(28))\/sqrt(2) + sqrt(14))\/(-3*sqrt(7)*-1) + (sqrt(2) + (1*sqrt(2) + sqrt(2))**2)*-1*4*-3.\nAnswer: 37*sqrt(2)\/3 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 17 - -5) + 5 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4003405 (base 8) to base 16.\nAnswer: 100705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 13*f**4 - 9*f**4)*(-3 - 1 + 2).\nAnswer: 40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -9 - 18. Let h = 64 + i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (770\/(-280))\/(((-10)\/(-8))\/(-5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 4*x. Let s be ((-1)\/x)\/(3\/27). Is 2 a factor of (-2)\/s + 29\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48011859 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -590941 not equal to -590941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f0 + -88f?\nAnswer: -97f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 443243 + -443246. Let x be 4*(2\/(-4) - 1). Sort -5, x, q in ascending order.\nAnswer: x, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j + 224. Let d(w) = 112 - w - j. Let f(p) = -7*p. Give f(d(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002839 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - j - 2. Let w(d) be the first derivative of -d**3\/3 - d**2\/2 + 47. Calculate v(i) - w(i).\nAnswer: 2*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*x = 3482, 3*x + x - 16 = 0. Let n = d - 519. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*n + 5, -5*u + 240*n - 237*n + 65 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 + (-16)\/(-9). What is the common denominator of (-4)\/y + 93\/22 and -77\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 2, i: 18}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/196 and -65\/39004.\nAnswer: 39004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*t + 520*t + 702 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 444 in 2\/3, 2\/51, -629?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -44665*c - 15. Let u be i(9). Round u to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:53 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*p + 6 = 0, 7 = -6*h + h + 2*p. Let d be h*9\/15*-5. List the prime factors of 5 - d*(-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-28)*1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-63) - 253\/(-3). Let m = 84 - k. Suppose 0 = q - 5 + 3. Put -4, q, m in descending order.\nAnswer: q, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) 2 (d) -6 (e) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.006 + -0.006. Let q = c - 5.0000068. Round q to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349615 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.78 - 15.88. What is the fourth biggest value in 112, 3, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(-1))\/z)**20*(z*z*z**0)**(-6) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 96355.1673ms?\nAnswer: 0.00015931740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*g - 6, -3*h = 143*g - 61*g - 71*g - 42 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1222832753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1 + (7 - 4). Let i be (-7)\/(f + (-4)\/3). Suppose -2*d + 28 = 2*o + 2*o, 0 = -3*o + 2*d + i. What is the greatest common factor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 + 65*y**2 + 29*y - 200. What is p(22)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: c3a79 (base 13) to base 9\nAnswer: 584565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 804.\nAnswer: 1\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, -3\/4, 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32529036 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/19 + 846*z\/19 - 89380\/19 = 0. Calculate z.\nAnswer: 205, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 75 + 79 = 0. Solve -28*n + j = 95 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628758*x**2 - 34413*x - 1.\nAnswer: 1257516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 770 divide 361621260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.7379 * 33141\nAnswer: 24454.7439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/12*x**4 - 1\/2*x**2 + 50*x + 0*x**5 + 0 - 29\/30*x**6 + 0*x**3 + 1\/14*x**7. What is the third derivative of r(q) wrt q?\nAnswer: 180*q**2 - 696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6315 and 6690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (65 + -37) - (-9 + -41)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*t - 2*t**2 - 105 - 89 - 736 - 18*t in the form o*t + i*t**2 + b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose -3*t - t - 8 = -l*g, -3*g = -12. Solve -t*i + 2 = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 - 144*s**3 - 215*s**3 - 114*s**3.\nAnswer: -466*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3322 - -1120331?\nAnswer: 1130313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*b = -7 - 3, -4*t = b - 5. Suppose t = 4*a - 201 - 383. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/(-6)*(-36)\/(-7). Let g = -53 + 70. Let d = g + s. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l + 2. Determine h(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 1. Let o be r(-1). Let v = -0.6 + 0.3. Let d = v + 0. Which is the third biggest value? (a) o (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11000111010?\nAnswer: -11000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979498471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from ykpyykzkyyk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-571698)\/10 - 7\/(35\/1). What is o rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 6}. Give prob of picking 2 s and 1 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 47325944*u - 139984060968196.\nAnswer: -4*(u - 5915743)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in -5.9, 785, -19?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -6*u**5 + 862*u**4 - 2982*u**3 - 13798*u**2 + 10884*u + 5040 = 0.\nAnswer: -3, -1\/3, 1, 6, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95248252 to the power of 1\/2, to the nearest integer?\nAnswer: 9760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/8)*(l\/(l\/(l**3*l)))\/l)\/(l**(-2\/7))**26 assuming l is positive.\nAnswer: l**(647\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 30*i - 3*i**5 - 9*i**3 + 2*i**4 - 29*i + (-4 - 2*i**4 + 4)*(4*i - i - i) + (0*i**4 + 3*i**4 + 0*i**4)*(7 - 10*i - 7).\nAnswer: -39*i**5 + 2*i**4 - 9*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1792, 3578, 5364, 7150, 8936, 10722?\n\"Answer: 1786*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57384914?\nAnswer: 2, 28692457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 4*j**6\/75 + 4*j**5\/25 - 9*j**4\/4 + 20*j**3\/3 + 368*j**2. What is k in x(k) = 0?\nAnswer: -4, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.2 - -0.2. Let v = 20.93 + t. Round v to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*l**3 + 5*l**3 + 8*l**2 - 4*l**3 - 3*l**3 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904727 is divided by 506.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k - 7. Let c(x) = x**2 + 9*x + 8. Let d(p) = 5*c(p) + 6*z(p). Suppose -7 = -3*u + 2. List the prime factors of d(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + (-52540)\/(-2860))\/((-45)\/(-165)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199675 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t + 37. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 4. Suppose -v + 3*m + 9 = 0, -4*v - m + 58 = -f*m. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2 + 32\/3*m**4 - 36\/5*m**5 + 0*m**2 - 1\/84*m**7 + 0*m**3 + m + 11\/20*m**6. Factor z(j).\nAnswer: -j**2*(j - 16)**2*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(1008) + 3*sqrt(1008) + sqrt(1008))*-4 + (sqrt(1008) + -1)*-1 + 2 + sqrt(1008)*5)**2.\nAnswer: -42432*sqrt(7) + 10902817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f - 949 = -544. Let b(n) be the third derivative of 0*n - 2\/3*n**3 + 0 - 12*n**2 - 1\/60*n**f + 5\/24*n**4. Determine b(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.892 + 0.108. What is the smallest value in u, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -87. Let y = 37.7 + d. Which is smaller: y or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 88*s + 3819. Let r be i(-52). What is the greatest common factor of r and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410\/(-6970) + (-2)\/((-714)\/(-81)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 868641723 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1003\/4 + -252. Let v(m) = m. Let g be v(5). Suppose 4*y - 3*z + 10 = 0, 2*z - 3 = g*y + 6. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*h - 19, -2*h + 3*h - 9 = 3*o. Suppose h*x - 80 = x. Solve 3*d - 3*t - 24 = 0, 5*d + t - x = -0*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose s*h - 19 = -f, -4*h = -2*f - 2*f + 60. What is the greatest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 86?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29701941 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - (3 - (-5 - -4) - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(6\/5))\/g**(4\/11)*g**(-2)\/(g\/(g\/(g\/g**(-2\/9)))) assuming g is positive.\nAnswer: g**(-1874\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1681, 6811, 15327, 27205, 42421, 60951?\n\"Answer: -4*a**3 + 1717*a**2 + 7*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.7386 rounded to one dp?\nAnswer: -227.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h*j*p**4 + 98394*h*j*p**2 - 2*h*j*p + 38*h*j - 63*h + 16*j*p wrt p.\nAnswer: -36*h*j*p**2 + 196788*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -7716.4871567234.\nAnswer: -7716.5871567234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0. Let g = 340 + -344. Which is the closest to -2\/3? (a) z (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12076*j + 1432*j - 810480 = 0 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391276 is divided by 2040?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -6 in descending order.\nAnswer: 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 32, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + (-2)\/((-2)\/2). Let h be 3\/(-2)*n\/(-3). Let c(o) = o**3 - 4*o**2 - 4. Let w(y) = -y**3 + 5*y**2 + 5. Calculate h*w(a) - 5*c(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15497\/132000 - 9\/4000. Let a = o + 1\/15. Factor 2\/11*p**3 + a - 2\/11*p**2 - 2\/11*p.\nAnswer: 2*(p - 1)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q - 2 = 0. Let i be (1\/((-15)\/(-2736)))\/((-16)\/(-160)). Let o = -1828 + i. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -3\/232, -2, 0.0378 in descending order.\nAnswer: 0.0378, -3\/232, -3\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 23360.47148 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 393 = 5*b + 407, 22 = 4*b - 15*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6973680 divided by -581140.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2062100 to the nearest ten thousand.\nAnswer: -2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 + 9416*j**3 + 531366*j**2 + 5361192*j + 15069240 = 0. What is j?\nAnswer: -4651, -45, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 2. Let l be z(8). Solve 2*y - l + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 183*h + 136. Give z(63).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*r**2 - 2179*r**2 - 7001*r**2 - 2773*r**2.\nAnswer: -11213*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40975454?\nAnswer: 2, 13, 167, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1922, -14789, -49678, -117599, -229562, -396577, -629654?\n\"Answer: -1835*q**3 - q**2 - 19*q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 3 + 5*q - q + 5 - 2*q. Let n be r(-2). Let f = n - -8. Solve -f*h - 5 = -7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 394, 391, 386, 379?\n\"Answer: -f**2 + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = b - 1. Let q be (1398\/b)\/(-219 - 1). Let i = q - -1\/110. What is the closest to -2\/3 in i, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/1)\/((135\/(-10))\/(-27)))\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8083*f + 61*f**3 - 146*f**3 + 37*f**3 - 8083*f + 47*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67772*-15\nAnswer: 1016580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -872*v + 848*v - 3 + 2*v**2 + 25*v**2.\nAnswer: 3*(v - 1)*(9*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1505457.9 milliseconds?\nAnswer: 0.41818275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268? (a) 58 (b) -2\/11 (c) -405\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 6, 1, -9.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8460 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.9. Let t = -0.41 - -0.13. Let z = 1.72 - t. What is the nearest to 0.1 in z, -1\/7, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 10. Let y(a) = -3*a + 11. Let q(v) = -5*c(v) + 4*y(v). Give q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**3 + 6*b**3 + 2 + 3*b**3 - 21*b to r + h*b**2 + d*b**3 + m*b and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let n be -3 + (4\/3)\/((-2)\/(-3)). Let b(k) be the first derivative of k**4\/4 - k**2\/2 - 2. Calculate n*m(q) + 2*b(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.98 + -2.48. Which is the second biggest value? (a) -0.027 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*r + 3655947 = 3707831 for r.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seseseseeesses. What is prob of sequence ss?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + m)*(0 + 0 - 2) + 0 + 378*m + 5352*m + 0 + 882*m.\nAnswer: 6614*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 251, 0, 1420\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 29) + (-65 - -11) + 1 + 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*n**2 + 1704 - 3408 + 1704 to i*n**2 + a*n + j and give i.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 - 1. Let i(f) = 7*f**3 - 69*f**2 - 2*f + 69. Let c(x) = -i(x) + 5*v(x). Let c(q) = 0. What is q?\nAnswer: -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187850 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5052.176 + -5050. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23236 = -602*j + 5176 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -10. Let w = h - -41. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 80, 221 in decreasing order.\nAnswer: 221, 80, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1828, -52, 0, -3 in ascending order.\nAnswer: -52, -3, 0, 1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/16*(-5 + 1). Let s(u) = -4*u + 2*u + x*u. Let a(r) = -2*r - 4*r - r + 2*r. What is a(s(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + 5 + 2*sqrt(1331) + -5 + (2*sqrt(1331) - sqrt(1331)))**2 + -3).\nAnswer: 47904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6 or 164864?\nAnswer: 164864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfv when three letters picked without replacement from wgwvfvgggrwfgfwwwg?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441 (base 5) in base 12?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)*d)**(5\/2) assuming d is positive.\nAnswer: d**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 803a - 114?\nAnswer: 7d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 11. Let c be o(-4). Suppose -m + 0*m - 4 = 4*s, 2*s + 2 = 3*m. Put c, 4, 1, m in decreasing order.\nAnswer: 4, 1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-98))\/((-135)\/(-210)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x**(1\/3)*x)*x)**(-12\/7)*(x*x**1)\/(x\/((x\/(x*x\/x**6*x))\/x)))**(-17))**(-21) assuming x is positive.\nAnswer: x**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4)*(19*o - 69*o - 19*o)*(1 + 3 - 5) in the form s + k*o and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124691339 to the nearest integer?\nAnswer: 11167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 2\/7, -1\/41, 3.\nAnswer: -5, -1\/41, 0.1, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1606488\nAnswer: -1\/1606488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 9. Let r be j(-16). Let q be r\/(35\/20) + -5. Which is bigger: q or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + x**2 + 3*x**2 + (6*x - 2*x - 2*x)*(x + 0*x + 0*x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.968 weeks to hours.\nAnswer: 144306.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*z**3 - 231*z**2?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11397, -1\/3, -95 in ascending order.\nAnswer: -95, -1\/3, 1\/11397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -2 + -2 + 142. What is the common denominator of 2\/(-8)*m\/40 and 73\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -19, -19, -23, -31, -43, -59?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05268 + 0.08968. Sort 0.3, 3\/4, i, -0.2.\nAnswer: -0.2, i, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164575245 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0*k + 39\/2*k**2 - 1\/3*k**3 + 32. Let s(x) = -x**2. What is s(r(m))?\nAnswer: -m**4 + 78*m**3 - 1521*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 8. Let b be y(-14). Let w = b - -47. Sort w, 0, 2\/9 in ascending order.\nAnswer: w, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-1\/16))\/t**(-11)*t**(-5\/4)*(t\/(t\/t**(-3)))\/t assuming t is positive.\nAnswer: t**(123\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 158*d**2 + 7 - 25 in the form g*d**2 + p + t*d and give g.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.36 + -1.22. Let n = x + -0.139999884. What is n rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11420124203 (base 5) to base 4.\nAnswer: -303101311330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*q = 5*q, 0 = -3*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 33*a**2 - 2*a + 15. Let v be t(-5). What is the second derivative of -v*r**2 - 8*r + 40*r + 822*r**2 wrt r?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/48)\/(4925\/(-3940))*(-774)\/117.\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1053493+-17224.581\nAnswer: -1070717.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 0.\nAnswer: -12, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15376b - -178?\nAnswer: -1535c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 248. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2. Let i(n) = 51829*n. Determine i(m(g)).\nAnswer: -103658*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1745 - 3141. Let x = q + 2154. List the prime factors of x.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 12 = 2*l + 3*u, -4*l = 5*u + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22.74, 8382, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 4*o**2 - 4*o - 3. Let z be c(5). Suppose z*w - 16 = 20. Let y(s) = -s**3 - 6*s**2 + 3. Calculate the remainder when y(-7) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -8*d + 32. Let u = 36 - 26. What is the remainder when d is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244153 + 346914. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 = 5*o + 2*n - 154, 2 = 2*n. Calculate the remainder when o is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**4 + 2*m**3 - 4 - 19*m**4 + 59*m**4 + 2*m**2 - 19*m**4 to the form r*m**2 + t*m + p*m**4 + u + n*m**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 732, 1071, 1392, 1689, 1956, 2187, 2376?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.2 (b) 0 (c) 12781 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/2 (b) -0.4 (c) -7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -8. Let j = -14.1 + k. Let g = -16\/33 + -2\/11. Which is the closest to j? (a) 0.5 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3956*a**3 - 7869*a**3 + 4087*a**3.\nAnswer: 174*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 10 = 8*u. Suppose -5*a - 86 = -2*o, 3*a = -u*o + 4*a + 94. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 + 19*g - 34. Give i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 65) + (47 - (84 - 54)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 3*l + 4. Let p be q(4). Suppose 3*x - 5*x = 2*i - 8, -p = -4*x. Is 1\/1 + (26 - i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 73 = x, -4*x = -12. Suppose i = -6*a + 13*a. Put -2, a, 3 in increasing order.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -414532?\nAnswer: -414435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11469 at least as big as 16828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43+7.53\nAnswer: -35.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 164842.71 months in years?\nAnswer: 13736.8925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 2562, 3844?\nAnswer: 5126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13295 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5027*z**3 + z**2 - z - 2. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**3 - 1968*w**2 + 2724*w - 776 = 0. What is w?\nAnswer: 2\/5, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from uuuuuuvvuuuuuuuuuuvv.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18256*g + 427682 = -1379662 for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/16, 21, -2\/5 in increasing order.\nAnswer: -2\/5, -0.3, 1\/16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(10\/15). Let t = c - -6. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g - 37. Let t(a) = -2*a**2 - 9*a + 25. Let p be t(-6). Let h be i(p). Calculate the highest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 1, c: 1}. What is prob of picking 1 c and 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -2 + 2\/105*h**7 + 0*h + 19*h**2 - 1\/5*h**6 - 2\/3*h**4 + 0*h**3 + 3\/5*h**5. Factor u(c).\nAnswer: 4*c*(c - 4)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 + 269. What is f rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1*4 - sqrt(143)) + sqrt(143))\/(sqrt(176)*-4) + -4 + 0.\nAnswer: -4 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/15 - p**5\/4 + p**4\/6 - 11*p**2 + 8*p + 2. What is the third derivative of c(o) wrt o?\nAnswer: 48*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443888, -1774970, -3993450, -7099334, -11092628, -15973338, -21741470, -28397030?\nAnswer: -35940024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (1 - (4 - -8) - -19) + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -123.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + (-50 - -86) + (-1 - 7) + 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 17*r - 19. Let g be o(-16). Let b be g\/(1056\/33158) - 1. Let n = b + 997\/11. Calculate the common denominator of 7\/58 and n.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - 100011101010100?\nAnswer: -100011100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((600\/12)\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30820499 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 5955*t**2 + 23883*t + 29835.\nAnswer: -3*(t - 5)*(t + 1)*(t + 1989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-45220)\/1071*(-6)\/16)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 47 (b) 0.5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6092, 6023, 5898, 5711, 5456?\nAnswer: 5127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 20 = -d. Let p(n) = n**3 - n**2 + 8. Let q(z) = -2*z**3 + z**2 - 17. Let x(g) = -9*p(g) - 4*q(g). What are the prime factors of x(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2816 and -0.05311.\nAnswer: 0.014955776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1389 and 4.\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-15) - 2) + -27 + 27.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + (-5 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/3 + 5*o**3\/6 - 4*o**2 + 31*o + 3. Let a(d) = d**2 + d - 1. Let b(c) = -3*a(c) + f(c). Give b(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6096852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3583008216 and -0.4.\nAnswer: -3583008216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 - 1\/6*c**4 - c - 1\/60*c**5 - 2\/3*c**3 - 4\/3*c**2. Suppose g(o) = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 286*t**4 - 140*t**4 + 5*t**2 - 8*t**2 - 127*t**4 - t**3 as o*t**4 + m*t**2 + a + p*t + d*t**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31147311?\nAnswer: 3, 13, 798649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) + (-8)\/28. Suppose c = -2*k + 107 + 25. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -80 + 7 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661264 (base 7) in base 15?\nAnswer: 4923e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106160 is divided by 221224.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/9 + 622*l**2\/3 + 30620*l + 90000 = 0 for l.\nAnswer: -750, -180, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256 + 257. Let b be 17\/5 + (-10)\/25. Let o(r) = r**2 - 5*r + 4. Let l be o(b). Sort 7, f, l.\nAnswer: l, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let i(m) = 87*m + 2. Let o(x) = 40145*x + 925. Let u(r) = 925*i(r) - 2*o(r). Determine u(y(n)).\nAnswer: -185*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (168 - 187) - -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.3171 microseconds in seconds?\nAnswer: 0.0003973171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n + 3*n**3 + 106*n - 52*n.\nAnswer: 3*n**3 + 98*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 50 = -2*i. Suppose -2*u - 4*z - z - 6 = 0, i = u - 4*z. Suppose 0 = -10*k + u*k + 344. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + -5 + 7 - 41412\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h + 5*h, -h = a + 41. Let w = -15 - a. Suppose -5*c + p = -215, 0*c - 4*c = -2*p - 178. What is the greatest common factor of c and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1278, 2882, 4886, 7494, 10910?\nAnswer: 15338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14049 and 19224.\nAnswer: 30008664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -19. Suppose 3*g = -5*h + 7, 13 = g + 3*g + 3*h. Suppose -l = -v - g*v. Solve -v = -q - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 6. Let u(g) = 5*g + 3. Let r(t) = -6*i(t) + 11*u(t). What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**18)\/v)\/v**(13\/4))**7 assuming v is positive.\nAnswer: v**(441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(((-32)\/(-672))\/((-5)\/(-5)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/8, 3, -7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3643190.\nAnswer: 2, 5, 139, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -63, -99, -155, -237, -351, -503, -699?\n\"Answer: -v**3 - v**2 - 12*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 27000. Let q be b(0). Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64852\/81588 + ((-102)\/52 - -2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*m - 75, 4*n - 4*m + 60 = -0*n. Let f = 16 + n. Is (-2 - f - -4)\/(2\/2194) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054925884 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/25)\/((-1)\/(-20)). Suppose 3*x - a = 2*x. What is the smallest common multiple of x and 74?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 16*o**2 - 6*o - 2. Let p be l(-5). Sort p, -2, -5, 4 in descending order.\nAnswer: 4, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.864712 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:26 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512997872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 369583.9 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177600 = 33*y - 25*y. What is y rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 239, 182, 103, 2, -121?\n\"Answer: -11*b**2 - 24*b + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180270241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*o = -8, 4*z - 20 = -2*o - 2*o. Which is the closest to z? (a) 0.5 (b) 0.4 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 11 + 27 + 24. Let q(f) = f**3 + 5*f**2 - 2*f - 6. Calculate q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/4 + 3*x**3\/4 + x**2\/2 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let i(a) = -a**2 - 5*a + 1. Let b(j) = i(j) - 5*y(j). Let s(t) = 1. Let l(c) = -1. Let g(v) = 5*l(v) + 6*s(v). Give b(r) + g(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(378) - (sqrt(378)*1 + sqrt(378) - sqrt(378))) + sqrt(378))*-1)\/sqrt(9))\/((sqrt(240)\/sqrt(4))\/sqrt(10) - ((sqrt(384) - sqrt(6)) + sqrt(6))).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7*s - 204. Let x be (8\/s)\/(2\/622). Let z = 9725\/204 - x. Find the common denominator of 121\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z + 3434249 - 3433649 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 651071, 651069, 651067?\n\"Answer: -2*c + 651073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -59651 bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1300 + 1296. What is the smallest value in -7\/2, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3\/(4\/4). Let b(n) = n**2 - 4*n - 9. Let m be b(y). Solve m*h = 2*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.77532 litres?\nAnswer: 18775.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*u - 254*u + 12 = -4*t, 5*t + 3*u + 55 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/(-154))\/((8\/(-176))\/((-54)\/108)).\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -40 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 261*r**2 + 264*r. Give w(-262).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 70. Calculate g(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 0*q**3 + 3*q**3 + (2*q - q - 5*q)*(-q**2 - 2*q**2 + q**2) + q**3 + q**2 - q**2.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1914 + 791.8086. Let u = w + -792.0371. What is u rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2652066 by -1174.\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3299 + 3313. Solve w*d = 525 - 441 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 81. Let l(y) = 5*y**2 - 6*y - 27. Let z(n) = -9*n**2 + 11*n + 54. Let j(h) = m*z(h) - 7*l(h). What are the prime factors of j(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -226, -258?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyh when three letters picked without replacement from {y: 1, h: 9, t: 2, l: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211274177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Suppose 0 = 5*z - z - 24. Let g = 5206 + -5205. Let v(t) = t**2 - 3*t + 6. Give g*v(d) + z*m(d).\nAnswer: d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 * -4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - eb?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2718.1 - -2718.107. Let b = -0.4048 - -0.4. Let m = b + c. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*m + 795 - 740 = 0, -c - 65 = 3*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + sqrt(152)*3 - sqrt(152)))*2)\/(sqrt(512) - (sqrt(512) - 1*sqrt(512))) + -2.\nAnswer: -sqrt(19)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826247 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*1185\/90. Let j = -9 - k. Which is the closest to 2? (a) j (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 825 divided by 4\nAnswer: 825\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001663 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048520467?\nAnswer: 37, 28338391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) - (-361)\/5. Suppose -5*n = -2*j + c, 0*n = 4*j + 2*n - 192. Let p = -24 + j. Calculate the lowest common multiple of p and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 305 = 424. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 7*d**2 - 4*d - 14. Let o be c(6). Let f = o - 2. What is the second biggest value in 0.4, 2\/3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*m = -4 - 11, -12 = -4*o - 5*m. Suppose -c + 5*c + 377 = o*x, -4*c = 8. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:52 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594 + -594.1. Put 0.09, 3, q in decreasing order.\nAnswer: 3, 0.09, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 6891 = 8041 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7739*r - 32540 with respect to r.\nAnswer: 7739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -91\/4 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Suppose -v + 6 + 0 = z. Solve 2*u + 4*l + v = 0, 2*u + 4*l = 2*l - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2585\/66 - 25\/(-10) - 24\/36.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9208.161l to millilitres.\nAnswer: 9208161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 5. Let f be u(8). What are the prime factors of ((-9)\/f*-1 - -5) + 143?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*u = 17246 - 17139, -71*n + 1934 = -19*n - 5*u for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:21 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -90883\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 1.96. Let b = -117 - -112. What is the third smallest value in 5, m, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 103*3*((-40)\/12 + 4). Let x = v - 160. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 16.464. Let k = z - 1.04. Let v = k - -0.036. What is v rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 84\/5, 45?\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 + 2*y**2 + y + 4. Let b be l(-3). Let u = b + -151. Solve f = -4, 0 = -2*s - u*f + 4 - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + 14 + 19 + (-27 - -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/42 + (-3)\/2. Which is the closest to -1? (a) 0.3 (b) s (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + -5. Is w < -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/396222 and 33\/4.\nAnswer: 792444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7561.339 weeks to nanoseconds.\nAnswer: 4573097827200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 times -0.02626113?\nAnswer: 1.3130565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)\/t*t\/(t**(1\/28)*t))\/((t*t**(11\/3))\/(t*t**(-6)*t)) assuming t is positive.\nAnswer: t**(-815\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 392665 divided by -78533?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -117, 3, 5, -4, 1 in increasing order.\nAnswer: -117, -10, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 134*r - 15288 = -66*r - 74*r for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 23107852.\nAnswer: 69323556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -239649354 divided by 38094?\nAnswer: -6291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 66 = -36 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/120 - z**5\/5 - z**4\/24 - 3*z**3\/2 - 4*z**2. Let r be g(-12). Solve 4*l = r*d + 22, 3*l - 5 - 15 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2648 (base 11) to base 14\nAnswer: -137a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449159029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide -2 + -9 - (-23983 + 3 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2*u**2 - 1. Suppose 5*f + 23 - 3 = 0. Let i(x) = x**2 + 6*x + 7. Let q be i(f). Let m(y) = -y. Determine q*d(w) - 5*m(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 5*q**2 + 4*q - 1. Let z be (4\/6)\/(6\/(-27)). Let b be l(z). Solve -12 - 8 = -b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/((-1)\/3 + 25\/30) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2700 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -394313\nAnswer: -394313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2935073kg to milligrams.\nAnswer: 293507.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o + 45 = 41*o. Suppose 0 = 2*n - o - 5. Suppose 0 = -n*t + 5*t - 30. Which is the second biggest value? (a) -3 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 3*w - 1, -2*w = 1321*u - 1325*u - 46 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*(-12)\/48*36.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 36 = -2*s + q, 3*s = q - 54. Let r be 1\/2 + (-63)\/s. Let g(t) = -t - r*t + 1 - 1. Let w(o) = o**2. Determine g(w(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -400200 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.46489 + 0.12631. Let w = n - 8.6. What is w rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*o - 15 = 0, -5*s - 4*o = -2*o - 48. Suppose s*v - 18 = 4*v. Solve 18 = -9*b + v*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5591 and -33.\nAnswer: -18.4503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -63. Which is the third smallest value? (a) -30 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {j: 5, o: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*w - 906, -2*w = -d + 5*d - 1828. Does 43 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80394581*n*o**3 + 391*n*o**2 - 1728*n*o - 3 wrt o.\nAnswer: -482367486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2510 + 5815 = 330*m - 2635 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a factor of 760954573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*g**6 - 34*g**2 + 2*g + g**6 - 2*g wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 234.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435 and 15038385?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*v + 19*v - 7698000. Round v to the nearest 10000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1 + -2) - -1. Let z = 6 + n. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149672968 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from umkoouookommouoo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 17 = -197. Let y = -31 + i. Let k be (-579)\/(-39) - ((-33)\/(-39) + y). Calculate the greatest common divisor of 75 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/57*((-315)\/(-3948))\/5.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8) + -5 + (-2 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 486 = 255. Let i(v) = -g*v - 14*v - 59*v + 38*v. Let u(o) be the second derivative of o**4\/6 + 2*o. Determine u(i(m)).\nAnswer: 16928*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 96 = -9*f. What is the remainder when 26 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 1 - 13*b - 150*b**2 + b + 0.\nAnswer: -150*b**2 - 10*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1159\/266)\/61 + 37\/(-126). Sort -3.94, -2\/3, r.\nAnswer: -3.94, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -21.01. Let o = w - 24. Let m = -16.4 - -16. Which is the second smallest value? (a) m (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.452 - -4.548. What is the second smallest value in -2\/3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625 (base 15) to base 16.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**3 + 58*x**2 - 1494*x wrt x.\nAnswer: -18*x + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45 + 86 + 8404*l + 5108*l with respect to l.\nAnswer: 13512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178, -1371, -4602, -10891, -21258, -36723, -58306, -87027?\n\"Answer: -170*p**3 + p**2 - 6*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 2 + (-9 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1132226 + -808660. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - l - 2617, -2*b + 30*l = 28*l + 1054. Calculate the common denominator of 5\/(-30) + b\/336 and 85\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-21 - 0)) + -4 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-1\/2)*b)\/b)\/(b\/b**(2\/13)*b) assuming b is positive.\nAnswer: b**(-35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*y + 5*q, -2*q - q - 15 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -9. Let s = 240 + -134. What is the remainder when s is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = x. Let q be (x + 60\/16)*-20. Solve q*n + 9 + 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -281*x**4\/24 + 200*x**3\/3 + 335*x**2. What is the derivative of b(l) wrt l?\nAnswer: -281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343776 >= -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**3 + 0*u + 0 - 7\/2*u**5 + 0*u**2 + 23\/2*u**4.\nAnswer: -u**3*(u - 1)*(7*u - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, a: 4}. What is prob of picking 1 a and 1 o?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508018523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5669 - 5665. Sort -7, n, -5\/4.\nAnswer: -7, -5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*u - 643639, u + y - 2538 = -131264. Let w = u - -51627. Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 3\/2 (b) 75 (c) -0.5 (d) 2\/19 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-2)\/z*z*z)\/z)*z)\/(z\/z**(-1)))\/(z\/(z\/(z\/z**(-4)*z))*z**(4\/9)) assuming z is positive.\nAnswer: z**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 15*r = -416000. What is r rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 52.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568 and 639.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8105*z**2 + 3378*z.\nAnswer: -16210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/56)\/10*(-14)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + o**2 - 8 + 3*o + 0*o**2. Let w be a(-8). Suppose y + 38 = 4*y - 5*u, 4*u = 4*y - 56. Solve -2*d + 6*d - y = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 8 + -13 - (29 - 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*m*q*x**3 + 2*m*q*x**2 - m*q - 82*q*x**2 wrt x?\nAnswer: 510*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-3)\/504*16\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 4*d - 5. Let x(k) = 5*k + 40. Let s be x(15). Let q(n) = 112 - 6*n**2 + 11*n + s - 213. Determine -8*f(i) - 3*q(i).\nAnswer: 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 12*y**2 + 65*y + 6. Let w be f(16). Suppose -w*v = -604 - 760. What is the greatest common factor of v and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - d. Suppose -5*p + 26 + 29 = 0. Let s(a) = -7*a**2. Let h(n) = -n**2. Let w(m) = -6*h(m) + s(m). What is p*w(o) + 2*i(o)?\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0682 - 5.5682. Which is the fourth biggest value? (a) i (b) -2\/5 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4356?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 202.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohiqioiehiqiohi. Give prob of sequence hoe.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 1\/2, -34, -5\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43.22852 minutes?\nAnswer: 2593711200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-6 - (-42)\/3). Let j = 92 - 77. Solve -u + 8 = -2*b, 11 = l*u - 3*b - j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/14)*i**(-5)*(i*i**(-2\/11))\/(i\/(i**0\/i)))\/((i\/i**5*i*i*i**7)\/(i**(1\/2)\/(i**(3\/5)*i*i))) assuming i is positive.\nAnswer: i**(-5141\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -11.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(50)\/sqrt(10) + 2*sqrt(5)*6 + (sqrt(500) + 1*sqrt(500) + 4 + -1)**2.\nAnswer: 137*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + b96?\nAnswer: b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*s + 4, 0 = -31*v + 33*v - 2*s + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12902198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.087 + 0.297. Sort k, 1, -0.2, -2\/17 in increasing order.\nAnswer: -0.2, -2\/17, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 782609*a**2 + 4*a**3 + 782609*a**2 - 53*a to v + p*a**2 + w*a + z*a**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 0 + 5 + -1 - 3 - -40?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 98.\nAnswer: -1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*i = 1204*i - 2091 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 2936478.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -661, -2486, -6039, -11896, -20633?\nAnswer: -32826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -19 - (-21 + -1 + 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 26. Let x = 1 + y. Is (-1306)\/x - (-16)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1\/15*x**5 + 7*x**2 + 0*x - 1\/12*x**4 + 0*x**3 + 0. Is 8 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 25*h**2 - 10*h + 64. Let k(g) = -4*g**3 - 26*g**2 + 5*g - 62. Let x(q) = -3*d(q) - 2*k(q). What is x(-24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-36)\/(-63)) + -64523. Round p to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 18*15542\/(-412). Let h = y + 678. Let d = 172\/1751 - h. What is the nearest to 0 in d, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.5 (c) -2\/75 (d) 1 (e) -24\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let b be (-12)\/(-16)*(-6 + 2). Let q be a\/b + 32\/6. Solve -q*k + 9 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Suppose 380 = u*r - 0. Suppose r = 5*y - y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -901\/36?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3544, 2\/19 in increasing order.\nAnswer: -3544, 0, 2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25 - 3244*p + 148 - 5072*p - 40 with respect to p.\nAnswer: -8316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 3*u**3 - 4*u**3)*(4 - 5 + 0 - 2 + 0 + 1 + (4 - 3 + 1)*(4 - 3 + 1) - 2 + 5 - 4 + 2 - 5 + 2 + 0 - 2 + 3 + (-1 - 1 + 1)*(2 - 2 - 2)).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 124*z + 26 wrt z?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 13*f - 46. Suppose 2507 = 15*v + 2387. Calculate k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -15. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:18 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:25 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79534?\nAnswer: 2, 7, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 5 (c) 8 (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 332.188.\nAnswer: 332.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 32500*a**2\/11 + 10750656*a\/11 - 898313472\/11.\nAnswer: 2*(a - 15914)*(a - 168)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*v - 771, -5*y - 65 = 4*v + 1462. Let d = -6509\/17 - v. Which is the nearest to -1? (a) 0.4 (b) d (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*b + 12, 3 + 1 = -3*t - b. Let o(f) = 55*f**2 - f + 1. Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1748.7 - 0.08934615815\nAnswer: 1748.61065384185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -432366530?\nAnswer: 432366531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -120. Let u be (0 - 4) + 1 + l. Let c be (-6)\/2 - (-100)\/u. What is the closest to 2\/7 in 2, c, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-15 - -33) - (-21 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 10*s + 31)*(3 + 1 - 2).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-717)\/(-181401)*231\/14\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + i - 80 = 0, 3*z - 156 = -z - 3*i. Let f = -27 + z. Solve 0*h = -5*h + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.2 - -31.1. Let f be ((-10)\/20)\/(1\/16). Put f, 2, l, 4\/5 in increasing order.\nAnswer: f, l, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -4 (c) -2.715 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:44 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 + 0 = 0. Let l(m) be the second derivative of m**5\/20 - m**4\/4 - m**3\/3 + 3*m**2\/2 + m. Let y be l(r). Sort 0.4, 1, y in increasing order.\nAnswer: y, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**18*z*z*z**(2\/23))**26 assuming z is positive.\nAnswer: z**(12610\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.944 - 51. Let k = -0.0564 - a. Round k to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 15*p**2 + 34*p - 4. Let r be s(17). Put r, -37, -5 in descending order.\nAnswer: r, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -183, -369, -555, -741, -927?\n\"Answer: -186*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1840)\/40)\/(4\/6)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c**2 - 2*c**2 + 6*c**2)*(-c**2 - 3 + 3) + 21*c**4 + 51*c - 51*c + (-c + c + c**3)*(-c + 0*c + 2*c))*(4 - 1 - 4)*(1 - 1 + 1).\nAnswer: -21*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x**2 - 2*x)*(0 - 3 + 1).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11*q - 85122 = 9*q, 5*q + 34072 = 2*m. Is 56 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 greater than or equal to 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*3\/9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(((-2*sqrt(216))\/sqrt(4))\/sqrt(9))\/(sqrt(20)\/(sqrt(60)\/(sqrt(12)\/sqrt(2)))).\nAnswer: -4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439299 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -452613 divided by -3\nAnswer: 150871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 1\/10*h**5 + 1\/4*h**4 + 0 + 0*h**3 - 13*h + 3\/2*h**2. Let o(l) = -l**2. Suppose 3*g - 5 = 4*g. Calculate g*o(m) - c(m).\nAnswer: -2*m**3 + 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2132 - -1?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/42)\/(17\/51).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 144 = 6*v. Let k(r) = 43*r + 164. Is k(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*l - 2, 5*l - 5 - 3 = -k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:37 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19690.551 - 0.3.\nAnswer: -19690.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 403135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 154372 divided by 5\nAnswer: 154372\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1742193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + p - 3, 0 = -5*g + 2*p + 2*p - 12. Suppose c = -g*i - 4*i + 52, c - i = 32. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.37 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -55*d**2 - 992*d - 115. Calculate u(-18).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 16964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(63)*4 - sqrt(49)\/(sqrt(7) - sqrt(56)\/sqrt(32))) + -2.\nAnswer: -50*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 81, 2\/5, 2\/11 in descending order.\nAnswer: 81, 2\/5, 2\/11, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 9 = -5*n. Let x(m) = 25*m**3 - 2*m**2 + 8*m + 6. Is x(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2270 and -2631722\/1159 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 4*m**3 - 7*m**3 + (m**2 - 2*m**2 + 0*m**2)*(0*m + 8*m - m) + (m**3 + 0*m**3 + m**3)*(-46 + 61 - 56) as l*m**2 + q + v*m + k*m**3 and give k.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584230, -584226, -584220, -584212, -584202?\nAnswer: -584190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:28 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387172 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 3649587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p = -16*p + 14*p + 40 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73437206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25434882 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1218 and 426706.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (26 - 4 - 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541291 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49523\/20 + 2481. Find the common denominator of t and (-1)\/3 - (-1 + (-22)\/(-24)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from aiaaaiatf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -67) + -61 + 33 - (23 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/140 and 49\/4404?\nAnswer: 154140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1399 + 1669. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 13*w + 67 = 0, 2*d - 17*w = -11*w - 34 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 493905 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -5 + -4 + -8 - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311\/4 less than -7886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -0.1?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21577, -21727, -21967, -22303, -22741?\n\"Answer: -r**3 - 39*r**2 - 26*r - 21511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1428?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2062 + 2064. What is the nearest to -28 in 5, 3, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -8*b**3 - 2462*b**2 - 142270*b + 181700 = 0.\nAnswer: -230, -79, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/18 - 1\/2. Is r < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 - 3*w - 2. Let s(j) = -9*j**2 + 6*j + 3. Let q(b) = -7*f(b) - 4*s(b). What is the units digit of q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {m: 3, l: 1, u: 4, q: 1, o: 5, e: 4}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(1108 - 216*a**3 - 1108) - 1 + a**3 - 2*a + 2*a**4 + 2*a.\nAnswer: -430*a**4 + a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 486? (a) -2\/13059 (b) -2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 550381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 * 113\nAnswer: 3.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*n - 42, -2*t + 0*n - 4*n = -48. Let f(z) = 4*z**2 + 2*z + 2. What is the lowest common multiple of (t + -4)\/(0 - -1) and f(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5. Let b(g) = -g**3 - 4*g**2 - 3*g. Let y be b(-3). Calculate u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 452 + -1016. What is the common denominator of -2 + (-6)\/(z\/233) and ((-4)\/48)\/((-4)\/(-162))?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8)*78)\/((-81)\/108)*(-1)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1234\/7 + 176. Let n(b) be the third derivative of -b**6\/120 - b**5\/10 - b**4\/24 - b**3 - 6*b**2. Let v be n(-6). Is t smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**5\/40 - 5*z**4\/24 + 4*z**3\/3 - 2. Let p(g) be the third derivative of h(g). Let t(i) = 2*i - 6. Let s be t(5). Give p(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 4*u + 2. Suppose 12 = -5*t + 2. Let q be s(t). Let z = q + 27. Solve 2*a + d - 6*d = z, -12 = 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -76. Solve -v*f - 2*j - 27 - 8 = 0, j = 3*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4731857142?\nAnswer: 2, 3, 241, 3272377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*t**4 - 14280*t**3 + 682578*t**2 - 271320*t + 27075.\nAnswer: 3*(t - 95)**2*(5*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2, l: 1, x: 2, n: 2, t: 1}. Give prob of picking 1 n and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -681, -873, -1065, -1257, -1449?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.3. Suppose 278*a - 48 = 272*a. Sort a, 3\/8, j in decreasing order.\nAnswer: a, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536033849 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(156))\/(sqrt(588) + -2*sqrt(588)).\nAnswer: 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from wkaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 + -239.881. Let b = 0.12 - u. Let a = b - 0.032. Round a to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118391135*f**3 - f**2 - 59557*f + 30 wrt f.\nAnswer: -710346810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1212003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t**2 - 68*t + 5. Let l be o(4). Suppose -4*w + 2500 = 5*s, -s - 84 = -l*w - 584. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21999116 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/962243 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -56.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 10. Let x be p(6). Solve 0 = -5*h + x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:02 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.044 - -0.144. Let t = 1.7 + -2. Which is the nearest to s? (a) t (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1566, 4, 21.92 in decreasing order.\nAnswer: 21.92, 4, -1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*v - 5, 3*s - 2*v + 15 - 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 + 3 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.2 - -38. Let f = 5.47 + i. What is f rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 192\/60*15\/(-6). Let g = 184 + w. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 55*i - 50*i - 4*z, 2*z + 4 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -203347 (base 15) in base 2?\nAnswer: -101110101011100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/13 + 100*h**3\/13 + 574*h**2\/13 - 100*h - 4128\/13 = 0. Calculate h.\nAnswer: -43, -8, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.2, -0.1, -19.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*n - 44 = 0, -n = 3*d - 3*n - 111. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10*t + 1230. Differentiate 16*u**2 + t*u + 7 - 246*u wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4424991, 4424992, 4424993?\n\"Answer: l + 4424990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12\/11)\/(o*o\/(o\/(o**(-5\/6)*o))*o))**(-18) assuming o is positive.\nAnswer: o**(645\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 + -2 + 9 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19294934\/1655745 + 192\/6065. Let f = w + 27\/182. Calculate the common denominator of f and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2 - 4*d - 4. Let a(f) = 2*f**2 + f + 1. Calculate 10*a(t) + 3*r(t).\nAnswer: 2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.23518 months in decades?\nAnswer: 2.4186265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1.18, 9.51, 359\/3?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000249189627 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1*45\/27. Find the second derivative of 3*i**5 - i - i**5 - 4*i**d wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -0.758, 14 in ascending order.\nAnswer: -0.758, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1030962.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(4 - 0 - (-525)\/(-20)). What is the first derivative of -w*a + 20*a + 54 + 52 wrt a?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19752*m**2 + 22237*m - 534110765.\nAnswer: -39504*m + 22237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00455975 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4505624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/(-153) - (-4)\/9)*3\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -89, -4, -1.8, 1\/2, -8, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) 403 (c) 18\/221 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2422 + -16.71.\nAnswer: 2405.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 339211357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-120)\/9 + 134\/(-30) + 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*b**2 - 1590 + 78*b**2 - 306*b**2.\nAnswer: 2*b**2 - 1590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) -3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489449317?\nAnswer: 7, 379, 184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/168)\/(912\/266))\/(3\/(-30))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 5055*f**2 - 10696*f**2 - 3.\nAnswer: -15751*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = v + 16 - 5, 0 = -3*w - 3*v + 27. Solve -3*p + 8*b = 3*b + 4, -w*p + 12 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5.8, -202, -0.1, 1, -3\/8 in ascending order.\nAnswer: -202, -5.8, -3\/8, -0.1, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - (1*sqrt(78) - sqrt(78))) - sqrt(78))*-4 + sqrt(78) - (2*sqrt(78) + sqrt(78))*4)\/((sqrt(3456) - sqrt(3456)*-3)\/sqrt(9)).\nAnswer: -7*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/11))\/n*n*n\/((n**(-2\/3)\/n)\/n))\/(n\/n**15*n\/(((n\/(n\/((((n**(2\/29)*n)\/n)\/n)\/n)))\/n*n)\/n)))**28 assuming n is positive.\nAnswer: n**(399728\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8*d + 5. Let u be -1 - (585 - 1) - -8. Let n = u + 581. Calculate the remainder when z(4) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-4)*-1*-4. Let f be (-14 - (-484)\/33)*(-72)\/2. Let c be (2\/(-6))\/(56\/f). Is i <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - j**3 + 1 - 8*j - 4 + 5*j**2. Suppose 8*c + 32 = 6*c - 4*z, -5*z = -c + 19. Let h be t(c). Solve 0*k + h = 2*k + w, 3*k + 3*w = 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -206938, -828179, -1863580, -3313141, -5176862, -7454743?\n\"Answer: -207080*j**2 - j + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*((-9)\/12)\/((-21)\/5278)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 10. Let a(v) = v**3 - 14*v**2 - 13*v - 17. Let r be a(15). Suppose -2*j + r = -1. What is the smallest common multiple of q and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:15 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 2262.\nAnswer: 90480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3109.8 + -3110. Which is greater: -2\/49 or k?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t**2 + 0*t**2 + 7*t**2 + (2*t**2 - 2 + 2)*(0 - 1 + 0) - 4*t**2 - t**2 - t**2)*(t**2 - 1 + 1)*(-2*t + 0 + 0)*(-4 + 1 + 5).\nAnswer: -40*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5533443219 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164776 and 26144?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*u - 6, z - 10 = 3*u - 8*u. What is the closest to 3 in -0.4, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/20*10\/(-4). Suppose 2*z = r - 2 + u, -16 = r - 5*z. Calculate the highest common divisor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 - 2*c - 6. Let x(p) = -13*p**2 + 4*p + 11. Let d(f) = 11*r(f) + 6*x(f). Let i be d(4). Let l = i - -16. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122.16 + -122. Let p = -0.56 + c. Let w = 335\/7 - 48. What is the nearest to 2\/7 in w, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135493397 rounded to six dps?\nAnswer: -0.013549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -27. Let d be -2 + 1 - (1 - 12). Calculate the remainder when -5 + q - d\/(-1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 112*h**3 + 1482*h**2 - 1199*h + 19. Give g(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1188 and 16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 - 20*d - 7. Give b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/240 and 27\/6140?\nAnswer: 73680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3250.674ng to micrograms.\nAnswer: 3.250674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 - 3.8. Sort g, -5, -2\/9 in ascending order.\nAnswer: -5, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 72 = 0. Let n = -107 + 179. What is the highest common divisor of n and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b - -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose -4*n - 2 + 10 = 0, 0 = x*y - 4*n - 120. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1206 and 804.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14*((-610)\/35)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53292\/177640)\/((-9)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*h + 12, 4*m = h + 19. Suppose t - 1317 = -m*c - 144, 5*t - 298 = -c. Let b = c - 177. What is the highest common factor of 174 and b?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1427, 3023, 4619?\nAnswer: 6215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 159*n + 1549. Determine k(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -176496 + 176496 - 261*u**2 + 2*u in the form k*u + b*u**2 + z and give b.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, -39, -1, 2\/13 in decreasing order.\nAnswer: 8\/5, 2\/13, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - 1021?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -763*x**2 + 1994*x - 703*x**2 + 496*x**2 wrt x?\nAnswer: -1940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.2, -2\/9, -1\/2, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.573 + 108.347. Let b = s - 115. Let k = b - -0.08. Sort k, 5, -0.2 in decreasing order.\nAnswer: 5, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2327 + 4997. What is the least common multiple of 6 and w?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.5. Let y = -6.16 - -0.16. Let o = y - -1. Which is the biggest value? (a) -4\/3 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 785576727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40668)\/(-678) + 4800\/(-80)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3608 = -11*i. Let t = 456 + i. Solve -3*m + 14 - t = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/4*512\/(-27)*630\/(-1680). Factor 10\/3*c - a - 1\/3*c**2.\nAnswer: -(c - 8)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*i - 164*i + 900 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:36 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + ((sqrt(51) - (sqrt(1836) + -2*sqrt(1836)))*6)\/(sqrt(3) + 1*sqrt(9)\/sqrt(3) + sqrt(300)*1)).\nAnswer: -1 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 13.05?\nAnswer: -6.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 5*c - 246, 2*c + 476 = 4*r. What are the prime factors of r + 1*(-8)\/4*-1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -23\/6*f**3 + 0 - 11*f + 0*f**2 + f**5 + 0*f**4. Find the second derivative of w(d) wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 80*k**2 + 4*k - 97. Let w(y) = -46*y**2 - 2*y + 48. What is -5*w(m) - 3*x(m)?\nAnswer: -10*m**2 - 2*m + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/24*(60 + -48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.274 - 2.274. Let m be 1\/((-3)\/(-3) - 6). Which is the nearest to t? (a) -2\/15 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2767, -6, 4, 0.1, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3763 + -3759. What is the closest to -1\/2 in 1.8, -25, j, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, s: 4, k: 1, b: 1, f: 2}. What is prob of sequence fyb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393054?\nAnswer: 2, 3, 109, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 23 + 12 = 0. Let k be 7\/((-140)\/24)*v. Solve k = 3*l + 3*z, -3*l + z = 12 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4*((-1337)\/1372 - -1) and -57\/5.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2310523 (base 6) to base 13\nAnswer: 41a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-16))\/(9*2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 9c?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70287 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 2*g**2 - g**2 - 12*g**2 + 2*g**2 - 4*g**2 + (0*g + 5*g - 4*g)*(0 + 0 - g) in the form k*g + r + o*g**2 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q + 7*q + 5*q + 2*q + 6*q + 18 as r + k*q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-812)\/12)\/(532\/(-1368)). Solve -79*v = -21*v - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) -527\/59 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 2*c + c**2 + 34 - 51. List the prime factors of s(-15).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12a + -3?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(3*(sqrt(500)*-2)**2 - ((-3 + sqrt(500)*3 + sqrt(500) - sqrt(500)) + sqrt(500))**2)*3.\nAnswer: -12053 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/91813848 and -43\/27.\nAnswer: 826324632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -418*s - 1432. What is the remainder when o(-6) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2432 - -25571. What are the prime factors of o?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/4, 0.3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 4.5. Let k be 1*(1 - (-18)\/(-15)). Which is the nearest to -2\/9? (a) -2 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -35, -59, -83, -107, -131?\n\"Answer: -24*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p. Let y = 11 - 7. Suppose 2*t - y = 0, p = -3*o + 3*t - 4*t + 47. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -1. What is the remainder when (o + 6)*(-1 + 34) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166036 divided by 2?\nAnswer: 83018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60108 - -132388. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 3 + 30 - (-18 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 405 and 55?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 21 = 3*u, 8*j - 44*j - 3*u - u - 28 = -39*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244987164.\nAnswer: 2, 3, 113, 60223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2377*i + 3. Let n be o(-1). Let s be 6300\/(-21)*n\/(-6). What is s rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118840621?\nAnswer: 307, 521, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 4*c + 4*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 2*w**2 - 9*w - 29. Let l(d) = -d**3 + d**2 - 4*d - 14. Let q(v) = 7*l(v) - 3*r(v). Let b(g) = -24*g - 120. Let m be b(-5). Calculate q(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + (-93)\/(-90). Let i(k) be the second derivative of k**2 + s*k**6 + 0 + 0*k**5 + k + 0*k**3 + 0*k**4. What is the derivative of i(b) wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - -6*(sqrt(440) - (sqrt(440)*1 - sqrt(440)))) + sqrt(440) - sqrt(440) - sqrt(440))\/(sqrt(30)\/sqrt(3)*-5)*6 + -2)**2*-6*3.\nAnswer: -1028232\/25 - 5184*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-327)\/12 - 3)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d - 363. Calculate n(-48).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -155*o**2. Let n(b) = -20*b. What is n(c(f))?\nAnswer: 3100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 6389100*z + 2041029940500 = 0.\nAnswer: 638910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppprrp. What is prob of sequence pppp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31005 + -31018. Put -23, x, 6, -4 in decreasing order.\nAnswer: 6, -4, x, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b. Suppose b = -2*z + z - 5*r + 8, -3*z - 4*r = -46. Calculate the greatest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-46)\/12) + (-22)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157227959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3861 + 2467 - 24648 = 488*h - 1642 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 47*x**2 + 2*x. Let p(h) = h. Give p(o(u)).\nAnswer: 47*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))\/f)**35\/((f*f**(-5\/6))\/((f*f\/(f**(-6)\/f))\/f)) assuming f is positive.\nAnswer: f**(257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3 + -21 + 15. Let w be (2 - (-218)\/(-10))\/(o\/15). What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3896 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 8}. Give prob of sequence ol.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 21 = -5*c - 3*k, -5*c = -4*k - 26. Let s(o) be the first derivative of 5 - c + 7 + 18*o - 7*o**2. Differentiate s(r) wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000337822189 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 1. Let f(r) = -r - 4035482. Calculate f(b(l)).\nAnswer: 2*l - 4035481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b**2 + b - 4. Let h(j) = 2*j**3 - 4*j**2 + 4*j - 5. Let z = 128 + -126. Let q be h(z). Determine u(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2427018 rounded to three dps?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216986.6473 - 0.3.\nAnswer: -216986.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*k + 98*k + 5*h - 21 = 0, h + 11 = 4*k. Solve k - 2*j**2 - 1\/4*j**5 + 2*j**3 - 4*j + 1\/4*j**4 = 0 for j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 28*b = 14. Solve -4*y - 4*c + 18 = -c, -14 = -b*y - 4*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(405) - (0 + sqrt(405))) + sqrt(405) - (-1 + sqrt(405) + sqrt(405)*-1) - ((sqrt(5) - (3 + -2*sqrt(5)) - (-1 + sqrt(20)\/sqrt(4))) + 5))**2.\nAnswer: -28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0*p**3 + 3*p**3 - 2*p**3 + 2 + 8*p**2 + 6. Let t be x(-7). Let g = -169\/3 + t. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -13. Suppose -r*s = -3*s - 2, 3*s = 2*k - 68. Suppose 3*o = -9, 0 = -p + 2*o + 192 - k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 63980.43km?\nAnswer: 63980430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l - 2*l)*(0 - 3 + 1) + 14 - 14 + l)*((3 + 3 - 5)*(-3 + 1 + 0) - 2 + 1 + 2).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -o - 20, 0 = 2*n - 5*o + 2*o - 20. Suppose -n = 2*c - 3*c. What is the units digit of 86\/c - 27\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 6*k - 4. Let p be x(7). Suppose p*r = 2*r. Let l(t) = -t + r*t + 2 + 4*t - t. Determine l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-216)\/(-20))*4\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1647 - 10047. What is n rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 + 7*v - 5. Determine x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let b be (-47)\/q - (-18)\/30. Let x be 12\/b*15\/2. Solve 1 = -l - 2*o - 4, -3*o - x = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - v**3 + v**3 + 8*v**2 + 2 + v**3. Suppose 0 = 92*a - 105*a - 91. List the prime factors of s(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -0.5 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2450*d + 4769*d + 112*d + 4318*d.\nAnswer: 11649*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637620 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2*-1)*-1. Let r = -4 - a. Suppose r = -0*q - 5*q + 15. Solve -2 - 4 = -q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(2 - 3)\/(-2). Suppose 2*g + 3*g + 22 = 2*a, -2*g - 28 = 4*a. Let l(q) = -q - 10. Let v be l(g). Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416855 (base 10) to base 14\nAnswer: -abcb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 2880772.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/8)\/g**(-35) assuming g is positive.\nAnswer: g**(275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 60?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 - 101. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - w**4 - w**4 + (-2 - w**2 + 2)*(-5 + 4*w**2 + 5).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24))\/(sqrt(9)\/sqrt(3)*3 - sqrt(3)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-16 + 5 - -7). Solve -30*s - b = -26*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25662, 51927, 78192, 104457?\n\"Answer: 26265*v - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 70. Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -23*j**2. Let o(b) = -7*b. Give s(o(t)).\nAnswer: -1127*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8*454\/(-227).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a factor of 2865258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4347.6 or -0.2?\nAnswer: 4347.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -75413*j + 1131222. What is o(15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-18)\/81*4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.8801, 4, 16, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 6\/7, -0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -19. Let r = 3 + 1. Find the first derivative of 2 + 3 - r*z + 0 - b wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - (-12177)\/330)*-10.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2134 and 25.\nAnswer: 53350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20628*y = 20624*y + 3*i + 15, -10 = -7*y + 2*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 3 in increasing order.\nAnswer: -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + m**2 - 3*m - 3. Let s(d) = d + 1. Calculate -3*s(o) - t(o).\nAnswer: 3*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(130) + sqrt(130)) + sqrt(130))\/sqrt(10) + -3*(sqrt(325) + (-1*sqrt(325))**2))*-6.\nAnswer: 108*sqrt(13) + 5850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*c + c + 19, -5*c + 65 = -5*g. Suppose 6*y - c = y. Solve m + y*u = -15, 0 = u + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 2, x: 2, g: 1, n: 2}. What is prob of sequence umn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1144067830 + -1144067758.9999957. Let b = -71 + k. What is b rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**5\/20 - 3*l**4\/4 - l**3\/6 + 3*l**2 - 145*l - 43. Let z(h) be the first derivative of r(h). Give z(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/8848871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 1, j: 1, z: 1, y: 1, r: 1}. What is prob of sequence vfvj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 55. Suppose i + 0*y + 15 = 5*y, 0 = -4*y + 8. Calculate the lowest common multiple of (-2)\/i + (-8)\/(-5) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.63825g to nanograms.\nAnswer: 92638250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/9629883?\nAnswer: -26\/9629883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40313 = 4*a, -22*w - 26915 = -24*w - 3*a. List the prime factors of w.\nAnswer: 7, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 7 - (-7081 - -6995).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 73135 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -11*s**3\/6 - 7*s**2 + 17*s + 22. Let v(x) be the first derivative of d(x). Find the first derivative of v(z) wrt z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 87 = 2*f, 5*g + 0*g = 5*f - 195. Let m be (-3)\/(-6)*(f - 0). Calculate the highest common factor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 59 = -5*s. Let h be 4*(4 - s\/5). Suppose h*c - 86 = 102. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(-9464)\/42. Let s = -122 - b. Calculate the lowest common multiple of 6 and s.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1 - -2))\/(127\/(-78) + (-2796)\/(-6058)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x + v = 5, 5 = x + 5*v. Suppose x*y = -3*m + 44 + 2, 5*y = 2*m + 61. What is the highest common divisor of y and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404129551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90ca4 + -5?\nAnswer: -90ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g**4 + 105*g**3 - 107*g**3 + 5*g**4 + (8*g**2 + 2*g - 2*g)*(22*g + 4*g**2 - 3*g**2 - 2*g).\nAnswer: 24*g**4 + 158*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let k be w(4). Let l be ((-2)\/3)\/(14\/21). Let x be (0*2\/4)\/(-1). Sort x, l, k in descending order.\nAnswer: k, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47023.33 - 47397. What is p rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20285.694 + -20079.7. Let z = m + 0.006. Let s = 206.00263 - z. Round s to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, -10, -386 in descending order.\nAnswer: 251, -10, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1\/60*a**5 + 0 - 5*a**2 + 1\/12*a**4 - 3\/2*a**3 + 0*a. List the prime factors of t(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 55 + 7 = 0. Let b(m) = m**3 + 5*m**2 - 12. Let c be b(u). Suppose -y + 5*y = o - 9, -5*y + 2*o = 15. Sort 0, c, -7, y in increasing order.\nAnswer: -7, y, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 20*o - 140 = 36*o. Put 39, o, 0, 5 in descending order.\nAnswer: 39, 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.003 (b) -0.3 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 - 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8192*b - 917564. What is l(112)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8914092571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -62952?\nAnswer: 6295a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1209 and 1214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 21. Let r be (-1)\/(y\/(3 + 177)). Suppose 5*x = -0 + r. Solve -2*z = -5*u + 15, 3*z + 5 = -u - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 42*a - 2. Let z(u) = 11*u**2. What is i(z(h))?\nAnswer: 462*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*l + 193*l = -312*l - 14041 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2549, 20404, 68865, 163232, 318805, 550884, 874769?\n\"Answer: 2550*d**3 + 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 391. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t - 7. Let q(z) = z**2 - 31*z + 63. Suppose -d = -29 - 0. Let c be q(d). Give i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3177 and 5\/486.\nAnswer: 171558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o**3 - 9*o**2 - 86*o + 94. Calculate v(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 23 + 99. Let s = 41 + -28. What is the remainder when m is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3133, 25087, 84675, 200713, 392017, 677403?\nAnswer: 1075687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12*l**2 - 1. Let t = 4 - 2. Suppose -t*v - 2 = -v. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 + 204*s - 1787. Determine l(14).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-4))\/((-3)\/(-2)). Suppose -p*s - 70 = 3*s. Let f = s - -29. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 6. Let k be p(4). Let z be (k - 4)*1 + 4. Suppose 3*w = i - 337, i + w - 337 = -z*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -76. Let g(n) = 3*n**2 + n + 41. Is 35 a factor of g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46001.4 less than -6?\nAnswer: 45995.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 0, -3*a + 290 = 2*a + k. What is the highest common divisor of 145 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 1.2. Let w = -0.4 + 0.2. Let h = -3.04 + 0.04. Sort w, h, q.\nAnswer: h, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = 0. Suppose -11*h + 9*h + 2 = a. Solve 2 = -g + h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38185 - 4?\nAnswer: -38200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(275)))**2 + sqrt(275) + (sqrt(275) + 0 - 3*(-1 + sqrt(11))**2) + 1.\nAnswer: 16*sqrt(11) + 9865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 56 + 0*i - i)*(i + 0 + 0).\nAnswer: -i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 11*n - 8. Let w be z(8). Suppose w = -o + 5*o. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 4217120 = -218417120. Suppose -6*d - 3*d = l. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*c - 2)*(-c**2 + c**2 + 5*c**3).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:43 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:55 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0 - u**2 - 6*u - 5*u + 0 + 2. Calculate the remainder when 33 is divided by r(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9981 rounded to 2 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/148 + 511\/1332. What is the third smallest value in 2, 2.2, 16, -0.2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 5*r - 897. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 909 - 5009. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**3*v**3 - 2*a**3*v - 7*a**3*w - a**3 + a**2*v**3 - 22*a**2*w - 27*v**2*w wrt v?\nAnswer: 54*a**3*v + 6*a**2*v - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86741.997602 - -0.4?\nAnswer: -86741.597602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -287 - 1428. What is the remainder when 118 is divided by ((-686)\/n)\/(3\/(90\/(-4)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475 + 7094.43.\nAnswer: 6619.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 33 = 7*v - 13. Solve 21 - 11 = -v*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180117850?\nAnswer: 2, 5, 11, 37, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 332 divided by 4\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 + 190*l\/7 + 552\/7 = 0. What is l?\nAnswer: -92, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*i = -80, -3*i + 1 = -d + 4. Suppose -5*s + 2*z = -10, -2*s + d = 3*z - 6*z. Solve 3*n + 2*n = 5*r + 10, s = 5*n + 5*r - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 3*m**2 + 53*m + 93. What is s(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -8, -2, 3.\nAnswer: -8, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000245644 to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:44 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 684705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 454*g - 66671\/5.\nAnswer: (g - 29)*(g + 2299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51843130 divided by -27143?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + 16 - (2 + 15 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**6\/10 - 3*x**5\/4 - 9*x**4\/4 - 7*x**3\/2 - 3*x**2 + 6*x. Factor n(t).\nAnswer: -3*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0376 and -3195.9.\nAnswer: -3195.8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -24.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1781.1355806 - 1614.135472. Let s = a + -167. Round s to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a - 6. Let g(s) = -2*s - 1. Let w(q) = -6*g(q) + r(q). Let i(x) = x**2 + 9. Give i(w(d)).\nAnswer: d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.0447.\nAnswer: 0.8493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 + i - 3. Let u be p(6). Let n be 42\/(-1) + (-6 - (-6 - -3)). Let b = n - -49. Solve -4*o + 9*o - 10 = u*y, 8 = -y + b*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*h - 356*h + 195 = 0. Suppose -2*i - i = -303. Suppose h*m = -35 + i. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**3 - n**2 + n - 1. Let r be -1 - 0\/3 - -1. Suppose r = -2*f + 3 - 1. Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.04, 2 in ascending order.\nAnswer: -0.1, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - u + 6 = 0, -8 - 1 = -3*p - 4*u. Find the third derivative of 0*l**5 + l**5 - 2*l**2 + 5*l**3 - 5*l**p wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 3*o**2 - 3*o + 5. Let u be v(-4). Let t = u + -43. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 + 1 = 0. Suppose 0 = w - s*h - 24, 7*h - 135 = -4*w + 2*h. Let a be (-4)\/(3 - 10\/3). What is the highest common divisor of w and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + 4.94. Let k = -8 + l. Which is the third smallest value? (a) -1 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 203?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3199, -12 in decreasing order.\nAnswer: 3199, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 22. Let b be h(-5). What is the remainder when 38 is divided by 4 + 9\/b*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 2ba2c98?\nAnswer: 2ba2c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amaammmamamaammmmjm. Give prob of picking 1 m and 1 a.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*2\/(-24)*(-4)\/5.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1097 + 3611. What is n rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 27*s + 11. Let q(c) be the second derivative of 6*c - 1\/45*c**6 + 1\/15*c**s + 0*c**2 - 1\/18*c**4 + 0 + 0*c**3. Factor q(w).\nAnswer: -2*w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2179, -2219, -2257, -2293, -2327, -2359, -2389?\nAnswer: -2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3927441 and 643713.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -316058.\nAnswer: -11\/316058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4481 (base 12) to base 15\nAnswer: -23aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -16. Let r(o) = o**3 + 10*o**2 - 25*o + 4. Calculate the remainder when a is divided by r(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Let j(c) = c**2 + 3*c - 2. Let r be j(z). Suppose 3*y + 8 = r*d + 42, -5*y + 78 = 2*d. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -160312 and -543.96033.\nAnswer: -160855.96033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-6)\/l)*l*l\/l**3*(l\/l**5)\/l*l\/l**(6\/7)*l assuming l is positive.\nAnswer: l**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16087.78 nanograms in milligrams?\nAnswer: 0.01608778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 17 = -2*y + 9, 6 = -2*y - 3*g. Suppose y*q - 86 = -w, 24 = q + 6*w - w. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192218 or -192208?\nAnswer: -192218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 4*k**2 + 5*k + 4. Let x be z(-5). Let q = 647 - 603. Calculate the greatest common divisor of q and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/6 of a week?\nAnswer: 72240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2273 - 12*b + 6*b - 14*b - 141*b - 38*b wrt b?\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21\/((-535)\/210 + 3 - 4\/14) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9 + 12 - 3 + 2*c + 8 + 3.\nAnswer: 2*c + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(72)\/sqrt(3) - sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6078 = l + 4295, -9 = -3*l. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4943.9 and -137?\nAnswer: -677314.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 4*y + 4*y + (-2*y + 1 + 35*y + 2*y)*(-y + 18*y - 6*y) to t*y**2 + n + l*y and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 t when four letters picked without replacement from ahtattht.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -149*n**5\/5 + 40*n**3\/3 + 5*n**2\/2 - 399. Find the third derivative of i(r) wrt r.\nAnswer: -3576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*h*k**3 + 2*h*k**2 + h*k + 2*h + 2*k**4 + 2*k**2 + 2*k - 53 wrt k.\nAnswer: -258*h*k + 4*h + 24*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12130281 and 44477697.\nAnswer: 133433091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1053) + 2 + -3 - sqrt(1053)*-1*-6) + 3))**2.\nAnswer: -1620*sqrt(13) + 236961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40 - 6*(-12)\/18) + 0. Let o be 10\/55 + ((-140)\/p - -5). Let r = -4 - -6. Solve 2*h + r*w = 5 - 1, -o*h = w - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -1141 (c) -0.23 (d) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789 is divided by 971?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/4*(-6)\/(-2730)*91.\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1788 divided by -4.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(2*sqrt(243) + -1 + (sqrt(243) - (0 + (sqrt(243)*3 - sqrt(243))) - sqrt(243)))**2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/16)\/5 + (-7176)\/32. Let h = 237 - l. 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: Express -20*a**3 + 19*a**3 - 22*a + 2*a**2 - 3 - a**3 in the form q + b*a**3 + j*a**2 + h*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.253 * -37554\nAnswer: 84609.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 304 + 0?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -741, -30.\nAnswer: -741, -30, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 1. Let c(h) = 8*h**3 - 3*h**2 - h. Give c(x) + f(x).\nAnswer: 8*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 + 324888*x + 324890 = 0. Calculate x.\nAnswer: -1, 162445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ggkeqgergrgqrjegre.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-426)\/9)\/((-32)\/(-105630)). Let h = -155423 - s. Let j = h - 831. Find the common denominator of j and -14\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:07 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 4*q**2 - 3*q - 8. What is d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/25)\/(3\/15). What are the prime factors of (1*(-78)\/i)\/((-1)\/28)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + 2 + -1 + sqrt(931) + -3)*4*3)**2 + 5.\nAnswer: -14112*sqrt(19) + 141125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 21 = 5*q + 2, -q = 4*j - 76. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3*m + 6. Let d be s(4). What is the greatest common divisor of 18 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from mkmkmkmmkkkmmkakmkmm.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Let m(k) be the first derivative of 2 + 3\/16*k**4 + 1\/24*k**6 + 3\/20*k**5 + 0*k + 1\/12*k**3 + c*k**2. Factor m(l).\nAnswer: l**2*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*n + 87729*n**2 - 2 + 5*n**4 - 87720*n**2 - n**3 to the form s*n + z*n**3 + b*n**2 + c + t*n**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000111 + -1110001001?\nAnswer: -10100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*-6*(2*2*sqrt(1584) + -5) + -2)**2.\nAnswer: -69120*sqrt(11) + 3653136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a**2 + 2*a + 7. Let k(d) = 91*d**2 + 11*d + 37. Let g(n) = 2*k(n) - 11*w(n). Let z(q) = -4*q**2. Give z(g(h)).\nAnswer: -1024*h**4 - 384*h**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 7\/15*y**5 + 1\/6*y**2 + 19\/12*y**4 - 2\/3*y + 5\/3*y**3 - 135. Factor g(s).\nAnswer: (s + 1)**3*(7*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 54*q**2 + 99*q - 1452.\nAnswer: 3*(q - 4)*(q + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2704 and 15717?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4205 - 4204. Sort w, 0.5, -198, 0.1, -4 in decreasing order.\nAnswer: w, 0.5, 0.1, -4, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1066\/15990)\/(2*(-4)\/120)*(-1)\/(-13)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 42 (b) 4 (c) -4 (d) -3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) 0.32 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12808 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669414733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:35 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22990\/120)\/209)\/(1\/1*(-5)\/15)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 284 = 19*j. Let d = j + -64. Suppose -3*v = -3*s, 4*v = 5*s - 1 - 3. What is the remainder when d is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-120 + r**2 + 261 - 112)*(-3 + 3 + 3).\nAnswer: -3*r**2 - 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**4 + 244*o**3 - 1167*o**2 + 1839*o - 880. Let a(u) = 5*u**4 - 123*u**3 + 584*u**2 - 918*u + 440. Let m(y) = -13*a(y) - 6*h(y). Factor m(x).\nAnswer: -5*(x - 22)*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130924, -261848, -392772, -523696, -654620?\nAnswer: -785544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82885?\nAnswer: 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 35, 52, 67, 80, 91, 100?\n\"Answer: -j**2 + 22*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let d be (-6)\/4*-2 - 1. Find the first derivative of 0 + 5*i + d - w*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 2. Let b = -5 - f. Solve 6*l**4 + 0*l**2 + 0*l**2 + 2*l**5 + 0*l**2 + b*l**3 = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-52)\/120)*3354\/(-30745)\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 637?\nAnswer: 5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 412.6712 centuries?\nAnswer: 41267.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148678 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-6 - (9 + -20 - (51 + -6)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p - 0. Let g be (p - -3)\/(2\/2). Suppose g = w + 4*w - 95. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29376 divided by 72?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 925 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 37*u**2 - 74*u - 47. Let r be d(-36). Suppose 648 = s + 5*z, r = 2*s - 8*z + 13*z. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29879, 29941, 30111, 30443, 30991, 31809?\n\"Answer: 9*m**3 - m + 29871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*f**4 - 27504*f**3 + 7636104*f**2 - 704830080*f - 386729136.\nAnswer: 3*(f - 278)**3*(11*f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8 = 2*l + 4, -5*i = l + 20. Suppose -2*x + 8*x - 36 = 0. Let h = i + x. Put 3, 0, h in descending order.\nAnswer: 3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 + 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -105. Suppose w*n - 10 = 4*f, 0 = -f + 2*n + 2*n - 6. Let r(a) = -3*a + 3. What is r(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/8 and 42\/74139133.\nAnswer: 593113064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(156)\/(sqrt(48)\/sqrt(4)*2) + (3*(sqrt(1300) + 1 + 5))**2.\nAnswer: 1078*sqrt(13) + 12024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g - z + 43558 = 0, 5*g - 5*z = 43570. Let n = g + -4385. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2*u**3\/3 - 13*u**2\/2 - 36*u + 17. Let n be t(-9). Round n to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(16\/5))\/(5740\/(-1968))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 + 21*v - 7. Let l be o(-6). Which is the closest to -0.2? (a) -1 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/15))\/r**1*(r**(2\/3))**(-20\/9))\/(r**(-1\/3)\/(r**(7\/5)*r*r))**(-41) assuming r is positive.\nAnswer: r**(-20882\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 48280?\nAnswer: 144840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/462 + -1 + (-78)\/(-66). Which is the closest to r? (a) -0.4 (b) -2.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 80 = -l. Is -2 + 201 - l\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 601*p + 1244. Let c be q(73). Factor -949104\/11 + 2\/11*a**c + 36504\/11*a - 468\/11*a**2.\nAnswer: 2*(a - 78)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c)\/c*c*c\/c**(-1\/11)*c**3\/c**(2\/7) assuming c is positive.\nAnswer: c**(2143\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w - 2. Let v be q(2). Suppose 0 = 5*z - v - 79. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/12 + a**2\/2 - 26*a. Let b(x) = x**2 + 2*x + 4. Determine b(n) - 4*p(n).\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 35 (b) 0.5 (c) 0.2 (d) -1 (e) 1393 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 2. Let d be (5 - 6)\/(1\/7). Let p = d + 8. Let x be -3 + 0 - (-1)\/p. What is q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27065757 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23421101 + -3031?\nAnswer: 23413020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954383911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpsxkipppkk. What is prob of picking 2 p and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/800 and -53\/148.\nAnswer: 29600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/5))\/z**(-5))\/(z*z*z*z\/z**(-2\/5)*z*z)**(4\/3) assuming z is positive.\nAnswer: z**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*i = 132, -2*i - 8 = -0*i. Suppose -3*f + d - 4*d = -n, 3*d + 4 = f. Solve 3*m = 4 - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113165, -226332, -339503, -452678, -565857, -679040, -792227?\nAnswer: -905418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-11))\/(22\/(-121))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12) + ((-10)\/(-55) - 26296\/(-1056))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4*l**4 + 3*l**2 + 1 + l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 27.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 6. Let h(g) = -g**2 - 8*g + 9. Let i(x) = -2*x**2 + 4*x - 3. Let r be i(3). Let j be h(r). Solve j = 5*p - c*b + 6, p + 4*b = 5*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 499640232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 16*g**2 - 9 - 68*g**2 - 22 - g.\nAnswer: -52*g**2 - g - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140571330 to the power of 1\/4, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000078883 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 764854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.7 - -4. Let p(g) = 513*g - 2569. Let l be p(5). Which is the fourth biggest value? (a) -8 (b) 3\/2 (c) u (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1055085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -38 (b) -2\/15 (c) 5 (d) 6 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*s - 1186, 5*y - 18*s + 1484 = -15*s. Is y greater than -309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172049393239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.2285 litres in millilitres?\nAnswer: 269228.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 2*d)*(2 - 2 - 1)*(-2*d + 4*d - d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*i**5 - 3*i**3 - 72*i**2 - 1.\nAnswer: -5460*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 13*d = 27. Let v = d + 29. Suppose -5*n + 59 = v*x + x, 2*x = -5*n + 31. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 220 - 280 = -y, y + 3*j - 495 = 0. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1509653 (base 12) to base 10.\nAnswer: 4246623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.87? (a) 34 (b) 1\/11 (c) 1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.01 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 5, -4.6, -1\/3, -2\/17, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1057 = 2*j + 5*j. Let a = 1568 - j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5)\/v**(-6)*(v*(v*v\/v**2)\/v*v)**(-1\/3) assuming v is positive.\nAnswer: v**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a97 + -12?\nAnswer: -aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 k when three letters picked without replacement from {k: 2, d: 1, y: 8, h: 2, w: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*r + 12*r. Let w be -3*-10*r\/12. Solve -w*s = -4*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238194*0.42.\nAnswer: -100041.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 10) to base 15\nAnswer: d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2260023 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 108 + 28 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15555161 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + 183. Let g = h + -292. Let x = 37 + g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25178?\nAnswer: 2, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 + 1 + 2. Let l(q) be the second derivative of q**5\/20 - 3*q**2 - 3*q. Give -4*k(x) - l(x).\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from lxnylyqyylyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-33)*w*w*w**(-4\/23)\/w)\/(w*w**20)**34 assuming w is positive.\nAnswer: w**(-17093\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 931353788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4442313 (base 5) to base 14.\nAnswer: 20517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*x = -438*x - 4356. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:34 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Suppose -1 - 5 = -s + 5*a, 3*s = 2*a + 44. Let y(x) = 13*x**2 + 5. Let t(z) = -40*z**2 - 16. Let n(g) = s*y(g) + 5*t(g). Determine k(n(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -52. Suppose -o = v*l - 75, 2*o + 9 + 6 = l. List the prime factors of -5*((-438)\/l - -4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*f - 2*d, -715*f + 725*f + 2*d = 110 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -2 + (-35 - -8) + 13 - (1 - 51)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 2}. Give prob of sequence jjt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10213300 + 300321?\nAnswer: 11120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0183 + -4.0183. Put k, -7\/2, -2\/35 in descending order.\nAnswer: -2\/35, -7\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {x: 3, k: 4, c: 7, q: 1, d: 3}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, h: 6}. Give prob of picking 4 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/2 + 29*c**3\/3 - 13*c - 159. Find the first derivative of v(b) wrt b.\nAnswer: 6*b**2 + 58*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190740, 190765, 190790, 190815, 190840, 190865?\nAnswer: 190890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169218516, 169218514, 169218512?\nAnswer: 169218510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577.9834 micrometers to centimeters.\nAnswer: 0.05779834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -5 (c) 6 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-12*n - 4*n + 3*n) - 3*n + 3*n - 3*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 2384941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.19275 to zero dps.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 1089 = 27*f - 8*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:36 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142104 divided by -4584.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - r = -4*w + 4, 0 = -4*w + 3*r + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + b - 3 + (7 - 7 - 6*b)*(0 - 2 + 0).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2, -1\/6, -6, -5, -2\/359177?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 1, o: 1, e: 2, z: 2}. What is prob of picking 1 l, 2 z, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - k = -28, -650*k - 36 = 4*m - 651*k for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 52*s**3 + 10*s**2 + 3*s + 181. What is the thousands digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**3 + 279*u**2 + 201*u + 2387. Calculate p(-25).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*i + 75*i + 10299. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrdrrrrrrkrk. Give prob of sequence kddk.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 3, 5, -426 in decreasing order.\nAnswer: 5, 3, -49, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i + 3. Let w(t) = t. Let a(z) = -d(z) + 4*w(z). Let p = -8 - -13. Give a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*i**2 - 410*i**2 + 817*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408089 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -10993203 and 91.63283.\nAnswer: -10993111.36717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 3*t**2 - 22*t + 31. Suppose -15*c - 14 = -22*c + 28. What is x(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 7 - 2) + -13 - (3 + 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451153 - -0.2?\nAnswer: 1451153.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -59701291\nAnswer: 59701290.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 511670 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 194\/(-1) - (-1 - -1). Let t be (-15)\/(-10) + c\/(-4). Suppose l = -l + t. Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -19. Let b = -3877344 - -30979637\/8. Let z = -4883 - b. What is the common denominator of z and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*y + 2, -o + 40 - 36 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6140)\/(-120344))\/((-60)\/14).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 14*h + 8. Let w be (-1 - -2 - (-170)\/51) + h. Let d = 199\/4 + -50. What is the biggest value in d, -3\/4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6455 and -6442 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 26*l + 3. Let g be (1 + l)\/2 - 1. Do g and -10\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32 - (2 + 0\/(-2)). Let v(b) = -b**2 + 6*b + 3. Let a be v(6). Suppose -40 = -a*s + s. What is the highest common divisor of s and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/5)\/(6*11\/(-132)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - 19. Let n = h - -196. What is n rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 0.5 (c) 84 (d) 1 (e) 0.16 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3402\/(-648)*(-1040)\/(-182)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24294964, 48589925, 72884886, 97179847, 121474808?\n\"Answer: 24294961*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144 = -248*h + 59*h + 486 - 1043 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/23)*(j\/(j*(j**3\/j)\/j))\/j)\/((j**(-2\/33)\/j)\/((j\/((j\/(j*j\/(j**10\/j))*j)\/j))\/j)))**29 assuming j is positive.\nAnswer: j**(-195808\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 26*p + 23. Let o(f) = -f**2 - 25*f - 23. Let a(x) = -3*n(x) - 4*o(x). Suppose -21 = -j - 10. What is the units digit of a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2694479\/4 or -673621?\nAnswer: -2694479\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -2 (c) -4 (d) 351262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1.109, 2\/59 in increasing order.\nAnswer: -12, -1.109, 2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 17 + -1 + -7 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/114291715 or 1?\nAnswer: 3\/114291715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 + 12138934*z**4 - 17210*z - 1638 wrt z?\nAnswer: -40*z**3 + 145667208*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11517 is divided by 269.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 1\/2*j**2 + 13*j - 15. List the prime factors of a(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 3*n + 68 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let r(c) be the first derivative of c**3\/3 + 7. Determine r(h(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4299718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 56.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o. Let g(b) = -b. Let z(n) = 2*g(n) + v(n). Let t(p) be the third derivative of -p**4\/8 + 21*p**2. Give t(z(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 6*q**2 + 7*q + 12. Let h be d(-7). Let w(f) = 3*f - 5. Is 5 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**2 - 15*j - 11. Let x(y) = -12*y**2 + 14*y + 11. Let h(d) = -2*c(d) - 3*x(d). Is h(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0, 0.14, -105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8051 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 35\/(-20). Is (-2 + 1)\/(t\/74) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17 + 1\/1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = s, -l + 0 - 17 = 3*s. Calculate the common denominator of -111\/28 and l - (-4 - (-200)\/(-12) - 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/476)\/((-243)\/189)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 35*f**3 + 4*f - 1. Suppose 39*a = -4*d + 42*a + 18, 3*d + 5*a + 1 = 0. What is the units digit of v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = -4. Let t be 0\/2 + j + -10. Solve 2*h = -11 + t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/11 and 86\/6027.\nAnswer: 66297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3116*z - 3110*z + 30 = -4*g, 0 = -3*g - 27 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 1. What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, 27 in ascending order.\nAnswer: -3, -2, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (2 - 10)) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let o(y) = -4*y - 17. Let l be o(-4). Let c be u(l). Solve -w = 1 - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-10)\/6))\/(((-120652)\/12510)\/434)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(6 - 6 + 3*n**2)*(n**3 - 8*n**2 + 8*n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -34*l - 15. Let s(d) = -17*d - 7. Let q(w) = 3*c(w) - 7*s(w). Let j be q(4). Suppose -b + j = -0*b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:42 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 4*w. Suppose 11 = 4*b - p - 1, -4*b = 4*p + 8. Let o(f) = f**2 + f. Give b*r(k) - 9*o(k).\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**3 - 21025209*u**2 - 51291899*u.\nAnswer: 24*u - 42050418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:17 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 8*u - 2*u. Suppose u = 97*d - 102*d + 5. What is the units digit of (96 - (-14)\/(-7)) + d*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -50*x**2 - 6\/7*x**4 - 216\/7*x**3 + 0 - 1\/105*x**5 + 0*x. Factor z(v).\nAnswer: -4*(v + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404187.8mg to tonnes.\nAnswer: 0.0004041878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 + 0.0838775257225\nAnswer: -0.3761224742775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 64 = d. Calculate the remainder when d is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 5625, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.9985282 to 0 decimal places.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -360, -388, -416, -444?\n\"Answer: -28*k - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*8*40\/15. What is the greatest common factor of a and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5247, -29961, -71147, -128805, -202935, -293537?\nAnswer: -400611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = -2*x, 4*x + 11 = -3*u + 2. Let b be (-231)\/35 - x\/(-15). Calculate the remainder when 37 is divided by -3*(-40)\/(-84)*b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12988611200 rounded to the nearest one million?\nAnswer: -12989000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 3*g + 1. Let d(r) = -r**2 - 2*r + 8. Let u = 139 - 139. Suppose 0 = 3*x - u*x + 2*z - 1, 3*z = 15. Let a be d(x). Determine i(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185208 to the nearest 1000.\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k + 552. Is k\/(-10) + 4\/(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66 + 67)\/((-58)\/(-2811269)). Let l = -48469 + f. What is the common denominator of (-1)\/(-2)*10\/(-4) and l?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*w - w + 15 = 0, 15 = 3*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a**2 - a**2 + 7*a - 2 + 1. Let h(k) = -2*k. Let g be h(-3). What are the prime factors of d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 + 2*o + 3. Let w be q(-2). Calculate the smallest common multiple of (36\/(-10))\/(27\/(-90)) and ((-40)\/w)\/(-2)*3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/28*(-4)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**25\/((c\/(c*c**(-1\/3)))\/(c\/c**6))*((c\/c**2)**(-42))**(3\/11) assuming c is positive.\nAnswer: c**(-1448\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z - 13. Let x be w(2). Solve -3*b + b - 8 = 0, -3*d + x = -b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33336821 - -33336819.4699897. Let z = 0.214 + 1.316. Let f = y + z. Round f to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (266\/(-21) - -13)\/(2\/(-24)) - -5780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmmz when four letters picked without replacement from {m: 5, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2581c8 (base 15) to base 4.\nAnswer: 12313101320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, -395, 3.\nAnswer: -395, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 11. Suppose 0*s + s - 30 = 0. Calculate the remainder when s is divided by h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5 - 201. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02890146 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253231647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 + 7*i**3 + 9*i**3)*(-3*i + 5*i - 3*i) + (-4*i + i + 142 - 114)*(-4 + i**3 + 4).\nAnswer: -13*i**4 + 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 128 (b) -28 (c) 23423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 - 166*w**3 + 5629*w**2 + 273780*w - 13841100 = 0?\nAnswer: -42, 65, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3200587 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 1, f: 5, h: 6, n: 6}. Give prob of picking 3 n and 1 h.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999811 is divided by 54537?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/(-1100) - (-4)\/(-22). Let r = -0.2 - 0.8. Let h = -3642\/13 + 280. Which is the third smallest value? (a) h (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*r**3 + 35*r**3 + 8*r**5 + (r**4 + r**4 - 3*r**4)*(r - 3*r + 3*r) + (-r - 2*r**5 + r)*(-1 - 5 + 1).\nAnswer: 17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -62*a - 117. Let b be j(-2). Calculate the highest common factor of b and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.825 - 0.055. Let u = -7.12 - -7. Let z = j + u. What is the closest to z in -1\/6, -2, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 27*v = -115. Put v, -4, 3, -53 in decreasing order.\nAnswer: v, 3, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1109712*o - 6*o**3 + 1109712*o.\nAnswer: -6*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2197*l**2 + 2197*l**2 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*f = 465*f + 72 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*y + 6014 + 5847 - 11611 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, 6\/11, 0.09, 0.02?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w. Let y(o) = -10*o**3 - 9*o**2 + 9*o. Let l = -10 - 8. Let k(b) = l*p(b) + 2*y(b). Factor k(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -13*x**5\/20 - x**4\/3 + 41*x**3\/6 - 5*x**2\/2 + 68*x. What is the second derivative of k(m) wrt m?\nAnswer: -78*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7719291.2 and -5?\nAnswer: 7719296.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*s + 38*s - 15*s + 9*s**3 + 2 as v + w*s**2 + p*s + t*s**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-273)\/182?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4438 - 3*c**3 + c**3 + 4468 as d + g*c + j*c**3 + v*c**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 4*k = 9, 2*k - 4 = -2*d. Let a(n) = n + 2. Let s(r) = -1. Let c(y) = d*a(y) - 2*s(y). Let h(u) = -7*u**2 + 0*u**2 + 4*u**2. Determine h(c(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 1, h: 1, s: 1, y: 1}. Give prob of picking 1 e, 1 s, and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -175378\nAnswer: -5261.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3426 and 16782.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 4. Let b(z) = z + 2. Let o(x) = -10*b(x) + 5*l(x). Let c(q) = -1 + 0 + 1 - q. Determine o(c(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.97 + 0.03. Let i = 5 - j. Let l = -0.4 - -0.2. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j + 15*j + 36*j + (1 - 3 + 4)*(j + 2*j - 4*j) to g + v*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/10 - 12\/(-8). Solve 0*r = -2*c + b*r + 2, 3*r - 27 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2417\/5, 1, -1\/2, -2\/9 in descending order.\nAnswer: 2417\/5, 6, 1, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i - 53. Let v be n(0). Let w(p) = -32*p - 2. Let d be w(-3). Let y = v + d. Solve -5*b = 4*l - y, 2*b - l = -2*l + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -522 + 445. Let k = -81 - c. Let w = -5.06 + 0.06. What is the fourth biggest value in w, 0.5, -0.5, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:36 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*u**4 - 69*u**2 wrt u.\nAnswer: -6096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-30)*5)\/(5 - -2). Let x = -0.1 - 0.9. Which is the nearest to 2\/3? (a) x (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 12 - 15 + 657*m + 0 + 266*m.\nAnswer: 923*m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1104 - -1138. Let g = 612 - 306. Calculate the highest common factor of n and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5869, -11739, -17587, -23401, -29169, -34879, -40519?\n\"Answer: 2*l**3 - l**2 - 5881*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 0.08, 0.2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4968 by -2.\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 17*v - 52. Let o be n(13). Suppose 3*d - 360 = p, 5*d - 3*p - 200 - 400 = o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*s - 7*s + 5*s)*(3 - 3 + 2).\nAnswer: -86*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 21.75. Let i = 0.15 + m. Let a = -2.10000245 - i. Round a to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50584801\/3906 - 116489\/9. Let i = 43\/31 - m. Find the common denominator of (-8)\/(-10) - 793\/60 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (10 - -40) + -26 - (0 + -53).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)\/(s*s*(s\/((s**(-6)\/s)\/s*s))\/s))**34*(s**(2\/3))**0\/(s**(2\/3)\/s*(s*(s**(-7)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13\/5, -5840, 0.4 in descending order.\nAnswer: 4, 13\/5, 0.4, -5840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.65 - -17795377253.\nAnswer: 17795377258.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 5*d + 7. Let b be l(-6). Suppose 1 = -a, 3*a - b = -5*p + p. Calculate the smallest common multiple of 7 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12637 (base 14) to base 5.\nAnswer: -2421004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 54 - 344*w**2 + 20*w + 23*w - 45*w to the form t*w + g*w**2 + i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.953138 months to decades.\nAnswer: 0.01627615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Let q be a(2). Suppose 0 = 5*d + 2*r - 66, 0 = d - r - r - 18. Suppose -l + 13 = -2*p, -3*p - d = -3*l - 2*p. Solve 4*t + q = l*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 1 v when three letters picked without replacement from vvvnvdvvvvvvvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74319 is divided by 543?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362035180*s**2 - 1362035180*s**2 + 31*s**3.\nAnswer: 31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3807850*b**4 - 2*b**2 - 12330182*b?\nAnswer: 45694200*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 43183.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - -0.165. Let r = -0.102 + b. Let d = 0.07367 - r. What is d rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 20*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(24\/4)*180\/(-200).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659 - 731. Let q be 1324*6\/(i\/(-30)). Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*x + 249, -6*y + 4*y = -x + 135. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -670106, -671067, -672028, -672989?\n\"Answer: -961*o - 669145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/25736580 and 59\/6863088.\nAnswer: 102946320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 9, n: 3, a: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54769 and 87707?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5951*a - 9858*a + 4643*a - 4561*a - 4064*a.\nAnswer: -19791*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*o - 20 + 21, 42 = 3*t + 4*o. What is the remainder when 14\/35*(1 + 114) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 82*v**2 - 11771*v + 393. Determine l(-75).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22529762.56 rounded to the nearest one hundred thousand?\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146840 is divided by 146678.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*v + 1425, 2*z - 2*v - 569 = -v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-7)\/2)*0. Suppose i*u = 5*n + 4*u - 391, -3*u + 155 = 2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.665 * 0.3\nAnswer: -2.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -106 + 26. What are the prime factors of 42 - 5\/(y\/(-12))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3 - 5) + 8\/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13407 is divided by 6619.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 25*y**3 + 0*y**2 + 0*y - 5\/6*y**4.\nAnswer: -5*y**3*(y - 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2740*k**2 + k + 2720*k**2 - 8182*k**2 + 2759*k**2.\nAnswer: 37*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - m - 2*m**3 + 34*m.\nAnswer: 2*m**3 + 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 51*y**3 - 4130*y**2 - 160*y + 6402. Give r(81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + -102. Suppose 0 = r + 2, 4*k = -w*r + 60 + 80. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7125*k + 9377. Let o(n) = -1782*n - 2344. Let v(a) = 2*l(a) + 9*o(a). Differentiate v(s) with respect to s.\nAnswer: -1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163539115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-2)*4\/(-10). Suppose 10 + p = 4*g. Suppose g*o = 2*f + 114, -o + f = 2*f - 43. Solve -d - 4*d + 5*r = o, -5*r + 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 103 = -341. Suppose -2*k = k. Suppose p = -k*p + 49. Calculate the remainder when p is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by ((-338)\/26)\/(-1 - (0 - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*w - 7708*w = -362*w - 530040 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 128534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -331, -322, -299, -256?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 1018*b - 1020*b + 50, 0 = 29*a - b - 95 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v - 4. Let s be m(4). Suppose s = -2*c - 2*c - 8. Let f = c + 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128048062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(32 - 5 + 10)*(80*z**3 - 67*z**3 - 52*z**3).\nAnswer: 2886*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.18 (b) -4 (c) 0.1 (d) -1\/11 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*h - 7*h + 62*h + 4*h**2 - 10*h - 9*h + 13 in the form p*h**2 + c + i*h and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - (-268)\/9. Suppose 24*w - 18 - 78 = 0. Suppose 3*i + w*q = -i + 72, i + 4*q = z. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1316189*q**5 + 309323*q - 2?\nAnswer: 26323780*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -534567, -1069509, -1604449, -2139387, -2674323, -3209257?\nAnswer: -3744189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 5*y**3 - 2*y**3 + (-2*y + 1 - 1)*(-4*y**2 + 2*y**2 + 0*y**2) - 5*y**2 + 12*y**3 + 5*y**2)*(4*y - 2*y + 0*y).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 2*t + 1. Let l(x) = -59*x**2 - 9*x + 7. What is -l(m) + 8*r(m)?\nAnswer: 75*m**2 - 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 42*s**2 - 8*s - 26. Let j be t(-21). Let o = j + 197. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. Suppose -5*w + 16 = 2*g - n, -4*w - 22 = -g. What is the remainder when 26 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5581533 is divided by 848.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 - 10. Let x be s(5). Suppose u + 3 = 0, -4*z - 2*u = 2*u. What is the closest to x in z, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.2, 0.27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 55 = m. Suppose 4*i + 0*i = m. Suppose -2*z + 14*z - 372 = 0. What is the remainder when z is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 4, i: 3}. Give prob of picking 1 a and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 50*p**2 - 391*p + 351. Give s(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 833, -1275, -1, 1, 4.\nAnswer: -1275, -1, 1, 2, 4, 5, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14441)\/(-13440) + 4\/(-6). Let m = h - 1\/128. Suppose 2*l + 2*o - 5 = 3*o, -14 = -3*l - 5*o. What is the closest to 1 in 4, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 27*g**2 - 1 - 2*g - 2)*(-5*g - 14 + 14).\nAnswer: 135*g**3 + 10*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + l - 3*l)*(0*l - 6*l + 4*l) - 4*l**2 - 3*l**2 - 7*l**2 - 67*l**2 + 50621*l - 50621*l + 2 to the form w*l + c + i*l**2 and give i.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4404273862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116761 (base 8) to base 11\nAnswer: 28418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32147 + -12?\nAnswer: 32135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 12218.51546394.\nAnswer: 12218.60546394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1444\/81 or -18?\nAnswer: -1444\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4226, -16918, -38072, -67688, -105766, -152306, -207308?\nAnswer: -270772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/227682 and -97\/1138410?\nAnswer: 1138410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7797000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -327761\nAnswer: -5244176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30537356*r**5 + 8*r**2 + 2232988 wrt r?\nAnswer: -1832241360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-3)\/j)\/j)\/j*j)\/((j\/(j*(j**(1\/15)\/j*j*j)\/j))\/j))**38\/(j**7*j**(1\/14)\/j)**(1\/24) assuming j is positive.\nAnswer: j**(-83843\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003 is divided by 2994.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102)*-4*2)\/(sqrt(66)\/(sqrt(110)\/(sqrt(10) - (sqrt(10) + sqrt(40)\/sqrt(4))) - sqrt(11) - sqrt(11))))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.61 in 3\/4, 0.7, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -1 (b) -4597 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4. Let t(b) = -1. Let g(c) = q(c) - 4*t(c). Factor g(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d**5 - 4165565*d**3 - 135366904*d wrt d?\nAnswer: 700*d**3 - 24993390*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -i + 5*i. Let z be 2\/i - (-93)\/(-33). Let t = 0 - z. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 4*k + 4*k**3 + k to the form o*k**3 + f + n*k**2 + t*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + ((-68)\/408)\/(2\/(-12))*-5. Which is bigger: z or -3\/1082?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366744098.\nAnswer: 2, 7, 41, 449, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugou when four letters picked without replacement from gukgnoiuoouoooook.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13976460 by 45.\nAnswer: 310588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9896226 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 15*z - 12*z + j, -38*z + 4*j + 186 = 52 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*l + 243*l = 11664. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 730593 and 135295?\nAnswer: 3652965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4))\/(j*j*j**(-4\/11)))**23\/((j*j*(j*j**9*j*j)\/j*j)\/(((j*j**(-12))\/j)\/j*j))**(20\/9) assuming j is positive.\nAnswer: j**(-16277\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 8. Let i be 20\/25 - 34\/5. Let f(m) = -2*m - 3. Calculate i*k(l) - 17*f(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -1, 1 in increasing order.\nAnswer: -1, 1, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 410 and 24?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(5\/11)\/((((h*((h**3*h)\/h)\/h)\/h)\/h)\/((h\/(h*(h\/(h\/(((h*((h\/(h*h\/(h*(h*h**(1\/4)*h)\/h)))\/h)\/h)\/h)\/h)))\/h))\/h)) assuming h is positive.\nAnswer: h**(43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/119628716?\nAnswer: 3\/119628716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 8. Let p = 14 - j. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose -4*s + 24 - 4 = x. Sort 1, s, -1 in increasing order.\nAnswer: -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x + 7378. What is n(-217)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30980830 to the power of 1\/2, to the nearest integer?\nAnswer: 5566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (291\/(-1261))\/(-1*(-3)\/(-39)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -28*o. Let k(x) = 3*x. Determine i(k(z)).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xdxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/206832604 or 1?\nAnswer: 5\/206832604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) 3 (b) -0.4 (c) 1\/13 (d) -2\/13 (e) 4\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5, 955 in decreasing order.\nAnswer: 955, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29667465*n**3 + 5102*n**2 + 126*n - 2?\nAnswer: 178004790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985992 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2. Let k(z) = -1 + 0 + 10*z**2 - 9*z**2. Let t(v) = -i(v) + 2*k(v). Differentiate t(j) with respect to j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327876167.\nAnswer: 18353, 126839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, 793, -5, 0, -19, -1.\nAnswer: -341, -19, -5, -1, 0, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-3))))\/(p\/(p\/p**(-4))))**(-15)\/(((p\/p**1*p)\/p)**(-41))**(-5) assuming p is positive.\nAnswer: p**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 17*s**3 + 7*s**3 + (1 - 1 + 2)*(-3*s**2 + 4*s**2 - 4*s**2)*(s - 4*s + 2*s).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in 0.4, -0.2, -2\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-8\/5)\/(o*o\/(o**0\/o)*o*o**(-4)))**(14\/13) assuming o is positive.\nAnswer: o**(112\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065 * -5257.\nAnswer: 341.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 48*k**2 + 864*k + 5. Determine u(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.53 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 8*b**2 + 11*b - 38. Let a be y(-8). Suppose -21*h - a = -31*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((304\/(-57))\/4 - 52\/(-30))*(-7 + -228)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 419 + -415. Solve 25 = 2*y + 3*b, -b + 25 = k*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52) + (sqrt(13) - sqrt(91)\/(sqrt(7)*-1))**2.\nAnswer: 2*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6490, -12998, -19544, -26146, -32822?\n\"Answer: -3*x**3 - x**2 - 6484*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxdwx. What is prob of sequence dxw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.673 times -2834.3?\nAnswer: -16078.9839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d. Let h be ((-2)\/6)\/(46\/(-69)). Let r(b) be the second derivative of h*b**3 + 0 + 0*b**2 + 2*b. Determine r(a(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1133 and 206?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.772085 to 1 decimal place.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 + 33136*v**3\/9 - 3682*v**2.\nAnswer: 2*v**2*(v - 1)*(v + 16569)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -2, -1\/68?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 < 162009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4228257.\nAnswer: 3, 11, 17, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*y**2 + 17427*y + 2682.\nAnswer: -3*(y - 447)*(13*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18560 and -119\/2368960.\nAnswer: 137399680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 133084\/9, 0.4, 0.126?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 627*w + 629*w + 2, -4*h + 3*w - 5 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/7 + 13533*i**4\/7 - 325953*i**3\/7 + 2569575*i**2\/7 - 1146450*i + 8163000\/7 = 0. What is i?\nAnswer: -4535, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - -100 - (2 + 3 + 19 + -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095*r - 990 = 897*r. Let a(s) = s**2 + 4*s - 1. Let h be a(-5). Put 3, r, h, -5 in decreasing order.\nAnswer: r, h, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 909023.6 millennia?\nAnswer: 9090236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6523 + 45?\nAnswer: -6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -10*v - 10, -1091*v = 3*o - 1095*v - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -36. Let a = -27.5 + g. Let n = a + 4.499953. Round n to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxiktiiiykytiti. Give prob of picking 3 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1070 and 1960240.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2943, 2634, 2217, 1698, 1083, 378, -411, -1278?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 201 = -10*v + 13*v, 2*v = 3*k + 135. What is the highest common divisor of 42 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 5*c + 5. Let k(a) = 3*a**2 - 2*a - 2. Let m be (-4)\/(-20) - (-2842)\/(-35). Let z = 79 + m. Calculate z*w(l) - 5*k(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 66*n**2 + 16*n**2.\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15938563\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/7 + 2532*c**3 + 39285240*c**2\/7 + 78499600*c\/7 = 0.\nAnswer: -4430, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4157 = -4*b + b, 2*b + 2495 = -3*u. Let l = -658 - u. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 126. Let l be t(0). Suppose -28*p = -35*p + 126. Calculate the highest common divisor of l and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 6*y**2 + 5*y - 3. Let t(u) be the second derivative of -u**5\/20 + 23*u**4\/12 - u**3\/6 + 14*u**2 - 48*u. Let h be t(23). Determine g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 405 + 133 - 10*q**3 + 137.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1799 (base 10) to base 8.\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830\/249*30\/(-125).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12992 - -24512. Is 96 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + ((-13 - (-5 - -4)) + (1 - 0) - -24).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(i\/(((i\/i**(2\/15))\/i)\/i))*i**(1\/8)\/(i*(i\/(i*i\/(i**2\/i)))\/i))**(-11\/3) assuming i is positive.\nAnswer: i**(1331\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*b**3 - 396*b**3 - 21*b**3 + (5 - 4*b - 5)*(-2*b**2 + b**2 + 0*b**2) - b**3 - 5*b**2 + 5*b**2.\nAnswer: -372*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u**(-8)\/u)\/u)*u*u*u\/(u*u**(-2\/11)\/u)*u*u)**(-9) assuming u is positive.\nAnswer: u**(-1701\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4527, 7037, 9547, 12057, 14567, 17077?\n\"Answer: 2510*v + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*x + 18436, 2*h - 9 + 17 = 0. List the prime factors of x.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s\/s**(-1))\/s*s)*s**(1\/3))\/(s**0\/s)**(1\/86))\/(s**(-2\/7)\/((s**1\/s)\/s)*(s*(s\/(s**5*s)*s*s)\/s)\/s**(-1\/10)) assuming s is positive.\nAnswer: s**(6911\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201957739 - 201957739 - 4*t**3 + 5*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1425060 and 8265?\nAnswer: 27076140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17627 or 17626?\nAnswer: 17626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -46. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2802763, 2802764, 2802765, 2802766, 2802767, 2802768?\n\"Answer: g + 2802762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = -2*n, -2*n = -7*n + l + 70. Calculate the highest common divisor of n and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -103, -221, -385, -595, -851, -1153?\n\"Answer: -23*k**2 - 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -52 - (646 - 676)) + -52?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/(2\/300). Calculate the greatest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 7:29 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4520\/9 or -1\/9?\nAnswer: -4520\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7654311 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 470679.\nAnswer: 184\/470679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -130274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaavqqcqvsqcqccq. Give prob of sequence csc.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24411308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38316103*o**2 + 42221074*o wrt o?\nAnswer: 76632206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -11. Let p be -6*(a\/6 - 3). Solve -p*c - 3 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12303990 and 18455985.\nAnswer: 36911970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 4 + 1 + 3. Let u(o) = -2*o. What is u(j(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 27. Suppose -m + 3*a = b, 28 - 8 = 3*m + 4*a. Is -3\/4 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5260.22 + -0.0098?\nAnswer: -5260.2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 18 = w - 19, 0 = -4*w + 4*q + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 2056228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/26)*m**24\/m*(m*m**(-27)\/m)\/(m\/(m\/m**17)) assuming m is positive.\nAnswer: m**(-547\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 5*sqrt(85)*-1)*1)\/((sqrt(495)*-1 - sqrt(495))\/sqrt(11)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5873\/4 - -1461. Calculate the common denominator of -51\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7505381 is divided by 547.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -1 + sqrt(3) - (sqrt(3)*-1 + -3)) + -5 + 5.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -45, -226, -645, -1398?\nAnswer: -2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.9 + 32. Let c = l - -1. Let h = 1 + c. What is the biggest value in -2\/15, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n**3*y**2 + 2*n**3*y + 2*n**2*y**2 + 12*n**2 - 4*y**3 + 9*y wrt y.\nAnswer: -12*n**3 + 4*n**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76998000 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -d + 4*d. Suppose 3*p + 4 + 9 = 5*x, x = -2*p + 13. Suppose -j + 427 = x*b, -j - 15 + d = b. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-3*3\/6). Suppose -23 - 7 = -u*j. Suppose 0*f + f = j. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*h + 249*h - 3*m + 14 = 0, -3*h = 5*m - 62 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108528, -868349, -2930756, -6947043, -13568504?\nAnswer: -23446433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 134*c**4\/7 - 10600*c**3\/7 + 31912*c**2\/7 - 22496*c\/7 = 0?\nAnswer: 0, 74\/67, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74444261*z**4 - 3844*z**2 - 302*z + 8?\nAnswer: 1786662264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -14) + (-10 - (-17 + -3))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 200\/44 - 48\/88. Solve -3*c - w - 1 = 4, 5*c = q*w - 31 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v*v*v**(2\/15))**(-48)*((v**0*v)\/v)\/v**6*v**(-2\/5)*v*v\/(v*(v**(-5)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:24 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 7\/8, -29, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = -g + 2*x, -4*g + 8 = 4*x. Let p(n) = -1. Let y(i) = -i + 17. Let j(h) = g*y(h) - 2*p(h). What is the units digit of j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 353 = 100. Calculate the highest common factor of 184 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 3*q**2 + 3*q - 12*q**2 - 6*q.\nAnswer: -9*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/7 and -211\/630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 1, d: 1, a: 3, v: 2, e: 1}. Give prob of picking 2 v and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4182044\/5769 + -730\/641. Which is bigger: f or 725?\nAnswer: 725","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*f - 4 - 4 + 8 to the form h + j*f and give j.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/2 - 9*w**4\/2 - 39*w**3\/2 + 33*w**2\/2 + 36*w - 30 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/385)\/(((-6)\/(-45))\/1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let f(l) = -135299*l + 29. Let u(a) = f(a) - 3*h(a). Let s be u(17). What is s rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2074\/8 + 540\/(-432) and 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -27. Let u(g) = g**2 + 8*g - 7. Let n be u(i). Suppose 13 = n*j - 9. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 138\/30 + (-9)\/15. Let h(d) be the first derivative of 0*d**3 - 1\/2*d**o - d + 0*d**2 + 1. Find the first derivative of h(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4348, -12182, -23504, -38314, -56612, -78398, -103672?\nAnswer: -132434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104291733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + -4. Let n = d + -123.0000312. What is n rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 8*y**2 - 2*y - 1. What is u(3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -39. Let z = 18 - l. Let h(p) = -2 + 4 + 8 - p + 1. Let w(q) = 1. Determine z*w(v) + 2*h(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2 = -15*b - 4*b + 1, -4*b = -b + 4*f - 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -3\/8 (b) 1\/5 (c) 2 (d) -448 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + l = 16, 486*r + 488*r = 978*r + 5*l - 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1876697*u - 2963898 wrt u.\nAnswer: -1876697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.079, -5, 0.1, -1.2.\nAnswer: -5, -1.2, -0.079, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 321\/2. Let n(u) be the first derivative of -q*u**4 - 6*u**3 + 6 - 2\/5*u**5 - 7*u**2 - 4*u. Let n(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(-2*sqrt(8)) - sqrt(24)\/(sqrt(12)*1)) + 2.\nAnswer: -3*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(72) - sqrt(72)*-1) + -2)*-1)**2 + 6*(sqrt(72) + 1)**2 + ((-1*sqrt(2))**2 + 3)*5.\nAnswer: 144*sqrt(2) + 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2420)\/35)\/11 + 6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(3 - 5 + 0)*(-4*m + m + m)*(-7 - 140 - 8).\nAnswer: -620*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/8 - 8*z**3\/3 + 29*z**2\/4 - 7*z + 15. Find t, given that u(t) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and (-632)\/126*(-30)\/80.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n. Suppose b - 20*b + 456 = 0. Let l(q) = -b + 5*q - 6*q + 24. Calculate a(l(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*j = 8, 0 = 3*a - 4*a - j - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 408\/58 - (-49)\/(-1421). Solve -2*n = -5*m - t, n - 1 = 2*m + 2*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15f - -2f?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-471)\/12. Let h = -24 - r. Suppose -z = 2*z - h. Solve 5*t = 2*d + 10, 3*t = z*d - 2*t + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65393803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -680722 times 6\nAnswer: -4084332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 2*q + q)*(-82 + 82 + 19*q) - 8*q - 5*q**2 + 8*q)*(-2*q**2 - 3*q + 2*q - q).\nAnswer: -66*q**4 - 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3002 + 3011. Solve i + 4 - h = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 3*y - 4*y + 2*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 4*y**6\/3 - 88*y**3\/3 - 2*y**2 + 76. What is the first derivative of g(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55798926*a**5 - 3041964*a**2 - 2.\nAnswer: -3347935560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -238. Suppose -2*d + 5*j = 3*d + h, 4*j = 3*d + 90. Let g be 210\/4*(-40)\/d. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4053 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*c + 63 = 0, 91 = 5241995*w - 5241992*w + 4*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**7\/105 + 7*t**6\/120 + 247*t**4\/12 - 503*t**2. What is the second derivative of m(s) wrt s?\nAnswer: -24*s**2 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbjbmbbjjbc. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15071 + -15041. Suppose -f - f = -58. Is f smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 21*p - 76. Let n be l(17). Put -31, 2, n in increasing order.\nAnswer: -31, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.74 - 1.24. Let q = 3 + -2.8. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c. Let i(x) = -12*x + 149. Let l be i(13). Determine s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1155*x + 0 + 1246*x - 5.\nAnswer: 91*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a hour in minutes?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((32\/(-4))\/(-24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-282)*(-3900)\/(-175) - (1 - 6)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 43*o**2 + 30*o - 85. Is c(41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 667*i**8\/56 + 377*i**4\/2 + 23*i - 26. Find the third derivative of h(l) wrt l.\nAnswer: 80040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5611, 11210, 16809, 22408, 28007?\n\"Answer: 5599*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 457, -48, -1383, -3824, -7647, -13128, -20543?\nAnswer: -30168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -78 in increasing order.\nAnswer: -78, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2. Let r(m) = -m. Suppose 4*i - 7 = -3. Let v(u) = 3*u. Let n(t) = i*v(t) + 5*r(t). Determine q(n(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*a + 35*a + 35*a + 36*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117500 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4609 - 380 - 2*o - 1159 + 2629 + 3*o + (0 + 0 + 2*o)*(-2 + 4 - 1).\nAnswer: 3*o + 5699","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o**2 - 240*o - 6*o**2 + 240*o.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1802729 divided by -58\nAnswer: 1802729\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + 2 + sqrt(612))) + -1 + (sqrt(612) - (sqrt(612) - (2*sqrt(612) + -1))))**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + 0*m - m - m - 8*m**2. Suppose -2*g + 6*g - 24 = 0. Let b(p) = p + 64 + p - 65 + 7*p**2. Calculate g*f(d) + 7*b(d).\nAnswer: d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56061 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -305*h**3 - 275*h**3 + 324*h**3 + (-1 + 1 + 1)*(-7*h**2 + 7*h**2 - 6*h**3) + h**3 + 5*h**3 - 4*h**3.\nAnswer: -260*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26647958 - -18747958. What is p rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -47. Solve -2*f + 2*f + h*f**5 - 6*f**2 - 6*f**3 - 3*f**3 = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307220023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (864\/(-84))\/((5\/(-21))\/((-115)\/138)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/144)\/(2\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -2515696?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12124 less than 0.28?\nAnswer: 0.40124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28895052 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -37, -85?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((-160)\/(-30))*((-870)\/18)\/(-5)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 267\/(-190) + (-96)\/(-320). Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**4 + 8*m**4 + 2*m**2 - 2 - 2*m**4 in the form r + a*m**3 + i*m + o*m**2 + y*m**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -16, -17.\nAnswer: -79, -17, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(18\/7)*x\/(x**(3\/4)\/x) assuming x is positive.\nAnswer: x**(107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 14*i = -709, 4*i + 683 = 887 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11124274 != -11124267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (-105 - -11) + 70?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 3*f + 2. Let c be o(4). Let d = -19 + c. Solve d*w = -3 - 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3321843?\nAnswer: 3, 7, 317, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213201 (base 4) to base 16.\nAnswer: 39e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141523 - 20?\nAnswer: -141543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -11540147042*i**2\/19 - 23395988*i\/19 - 11858\/19 = 0.\nAnswer: -77\/75961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q = -8. Suppose -4*i - i + q*h - 4 = 0, -i - h + 2 = 0. Suppose -o + 18 = o + z, 2*o + 3*z - 18 = i. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 17. Let z = h + -17. Let q = z - 281\/5. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 19*p**2 + 3*p - 73. Determine z(-9).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 4 + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 26 - 7*m + 8 + 0. Let q be w(-13). What is the first derivative of -5 - 116*o**4 + 0 + q*o**4 wrt o?\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3937399071.\nAnswer: 3, 89, 97, 152029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24579239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1109.7 - 1093.7. What is the closest to -3 in b, -30, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 16 = 2*l. What is the least common multiple of (-2)\/11 + 404\/l and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 - 7 = 0. Factor 2 - w**2 - s + 3*w**2.\nAnswer: 2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 - 7 = 0. Let l = -1 + r. Let x be ((-9)\/3 + -34372)*l. Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.823963 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*y + q, -y - 10 = -5*q + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**2 - 3*h - 3. What is s(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.15, 138766, -0.5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11834910 a multiple of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 355261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47576027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(-35 - 77 - 148).\nAnswer: -520*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11985798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 > -484\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 599.131?\nAnswer: 598.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 1. Let x(b) = b**2 + 10*b + 61. Let j(l) = 3*g(l) + x(l). Let v be j(-10). Solve 5*q + 4 = v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -2\/11, -3 in ascending order.\nAnswer: -3, -1, -0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**2\/2 + 4. Let z(q) = 7*q. What is w(z(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972300 rounded to the nearest ten thousand?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(39))\/(sqrt(36)\/(sqrt(12) - sqrt(24)\/sqrt(2) - sqrt(12))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 511748.\nAnswer: 1\/511748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 971684 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 plus 1.1214704678?\nAnswer: 230.1214704678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11918554 is divided by 829.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1105 to one dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 4*c**2 - c**2 + (-1 - 1 - 2*c + c)*(6*c + 4*c - 4*c) + 3*c**2 - 3*c**2 + 2*c**2.\nAnswer: -7*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549684.4nm in millimeters?\nAnswer: 0.5496844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 6 = 0. Suppose 15 = 3*l + b*l. Let m be (l - 0)\/((-18)\/4). What is the third smallest value in m, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a)*((3*a - 5*a + 5*a)*(-1 + 6 - 2) + a + 13*a - 4*a) + (0*a + a + a)*(11*a - 24*a - 20*a).\nAnswer: -85*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239408 - 239383.0066. Let q = -25 + n. What is q rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -16*c**2 + 10*c. Give n(5).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-14 - 4) + 42 - -15?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2. Let u(o) = o**2 - 1. Let x = -146 + 149. Let a(f) = 6*f**2 - 4. Let s(q) = x*a(q) - 12*u(q). What is r(s(t))?\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*i - 1, -3*i - 2*i = 3*t. Suppose 0*y + y = t. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 278862 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*g = -45, 97*b = 3*g + 417 + 732 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3991 - -6.33?\nAnswer: 5.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -206 (b) 280444 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 45*b - 614. Let v be d(14). Solve 5*l - 25 = -2*a, 4*a + 11 = -l + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**3 + 8*d**2 - 8*d. Let n(c) = -c**3 - c**2 + c. Suppose -f + 15 = 6. Suppose 5*o = f*o - 100. Suppose o = 5*k - 95. Give k*n(v) + 3*x(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -144. What is the remainder when 132 is divided by j?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5143409746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a century?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4490 != -2420450\/539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-1)\/2). Let n(s) = s**3 - 5*s**2 - 3*s - 16. Let d be n(6). Let z(t) = -12*t - 3 - i + 13*t + t**d. Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72754157 by 7.\nAnswer: -10393451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275\/100*2\/(88\/(-60)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.2 + 28. Let k = 52\/365 - 2\/219. What is the second biggest value in 2\/3, u, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose -2*u = q + 4*q - 5, 3*q + 8 = u. Suppose 0*v + 5*v = -3*s - 11, 0 = 5*v + u. What is the smallest value in c, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 6 = -11*b. Suppose 4*r + 255 = l, -3*l + 0*r + b*r + 756 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 118. Let s = -255 - -156. Let g = i + s. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 97 = 2*w + w, 3*w + 4*y = 98. What is the least common multiple of w and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46603337.\nAnswer: 11, 89, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/2 + 15*v - 152 = 0.\nAnswer: -38, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -781*k - 898*k - 265*k + 2863*k - k**2 to the form f*k + u + q*k**2 and give f.\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + 11*v + 16. Let o(t) = -4*t**2 - 5*t - 8. Let c(n) = -3*k(n) - 5*o(n). Give c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -6.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 9*a**2 - 8*a + 7. Let x be m(-8). Let k(q) = -x - 3*q - 6 + 17*q - q**2 - 3. Calculate the least common multiple of k(12) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/19 - 10483092*r**2\/19 - 8*r\/19 + 41932368\/19 = 0.\nAnswer: -2, 2, 5241546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -605 divided by -3\nAnswer: 605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48631154 to the nearest integer?\nAnswer: 6974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758527 is divided by 1433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -458\nAnswer: 45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*a**(-1\/4)*(a*a\/a**(3\/8)*a)\/(a\/((a**(-1\/4)\/a)\/a))*(a**(2\/5)*a*a)**(-6\/7)\/(a*a*a\/(a*a\/(a**(-3\/4)\/a))*a**0) assuming a is positive.\nAnswer: a**(-331\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -3369*x**5\/20 - x**4\/3 + 14*x**3\/3 - 2*x. Let n be l(16). Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*k - 168493 - 77314 + 51039 = -4814*k for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -361\/9?\nAnswer: -361\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4306 = 391*o - 924*o + 5821 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngjz when four letters picked without replacement from jvngnnvxzzzvvzx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-82)\/410)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -2\/3, 0, -19\/8, -1\/4, 0.25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38749 by 72.\nAnswer: 38749\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*r + 405*r = -v, -4*v + r - 2*r = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5837116.999997 + -5837114. Let p = g - 3. What is p rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100647938, -201295877, -301943816, -402591755, -503239694, -603887633?\n\"Answer: -100647939*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1 - -6 - (4 - 4)). Sort o, -5, 0 in descending order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 6*f**2 - 12*f**2 + f**2 - 72 - 2*f in the form b*f**2 + s + z*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 3 (c) -381 (d) 39304 (e) -2 (f) -3 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 2. Let h be p(-4). Suppose 4*o = h*o + 20. Calculate the least common multiple of (-2)\/8 + 221\/52 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1982332208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r - 20. Let j be 2\/r + (-3)\/(-6). Put -3, -4, j in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 3. Let k be f(15). Let o be k\/18*(-6)\/2. Solve -2*h = o*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-42)\/(-98).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/120 + 7*k**4\/12 + k**2\/2 - 3. Let s(p) be the second derivative of a(p). Find the second derivative of s(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6)*-1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1096025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {j: 9, m: 4, h: 1, p: 1, x: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 11:40 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/(w*w*w**(-39)) assuming w is positive.\nAnswer: w**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80874286 is divided by 682?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6329100 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 10713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -21. Suppose 25 = f + 5*d, -f - 7*d + c = -3*d. Suppose -15 = -f*u + 5*m, -5 = 2*u + 2*m + 9. What is the smallest value in -1\/9, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 20, -0.3, 2\/7, -3\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*w - 171*w - 30 = 0. Solve 2*r = f - 4*f, w = 5*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:05 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w + 49 + w - 56. Let f(n) = -3*n. Let q(i) = -3*f(i) + l(i). What is q(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7741?\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 117, -121\/3, -2\/5?\nAnswer: -121\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563715 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 9*q - 18. What is the units digit of o(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 138*g - 11. Let x(y) = -3. Calculate -w(i) + 5*x(i).\nAnswer: -138*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 131\/2, -0.32, 2?\nAnswer: 131\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or -8756?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a20ac6 + 2?\nAnswer: -a20ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.2. Let y = g - -0.06. Let o = y - 0.26046. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*p - 32, -4*n + 2*p - 8 = -2*n. Let j be 0*(9\/n + 2). Suppose j = -3*x + w + w + 20, -3*w = 12. Solve x*q = -7 - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1539 - 1535. Let -10\/7*k**2 - 4\/7*k**3 + 4\/7*k + 0 + 10\/7*k**f = 0. Calculate k.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119888 + 2?\nAnswer: -119886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982959 is divided by 14798.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-54))\/(804\/(-137484))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -99. Let i be (a\/(-1) - 2) + 5. Suppose i = -2*h - 3*x + 166, -2*x - 208 = -3*h + 15. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - 0) + (-34343)\/(-3843) + (-2)\/(-7) and 102\/40 + (-1)\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*s - 698 = 99*s. Let h = -337 + s. 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: Let x(q) = -3435*q - 192345. Determine x(-56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 + 1 + 0. Suppose -r*h - 4 = -5*h. Suppose 5*n - h*a - 18 = -6*a, a - 9 = -2*n. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -26. Let t(o) = -1. Let j(k) = -2*k**2 + 10. Calculate y*t(z) - j(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 340 + 329 = -931. Solve 15 = -43*d + k*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(10*v**2 - 14*v**2 + 28*v**2 - v + 2).\nAnswer: -24*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, u: 1, k: 1, t: 1}. What is prob of sequence mun?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36449941*-2\nAnswer: -72899882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 6*b + 3*b. Let z(w) = -7*w + 0*w - 7*w - 5*w. What is z(l(d))?\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14266?\nAnswer: 2, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 4*t + 4. Let y be 1 - (1\/(-4) + (-168)\/(-32)). Let v(f) = -59*f. What is the remainder when v(-1) is divided by z(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011010010101101 - 1101?\nAnswer: -11011010010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 4345, 9244, 15969, 24526, 34921?\nAnswer: 47160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 + f + 1. Let h be v(3). Let k be h - (1 - (-3 + 6)). Calculate the greatest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 46 = 6. What is the remainder when 76 is divided by 5 + -2 - g\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-832*u - 514*u + 613*u)*(0*u**3 + 4*u**3 - 2*u**3) in the form q + h*u**2 + x*u + j*u**3 + d*u**4 and give d.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 102109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (15 + (-196)\/14)*2\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/3)\/(((-43741)\/279)\/83)*64\/3\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45223 divided by 30?\nAnswer: -45223\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-10)*-2 + 7. Let i(z) = -5*z**3 + 1. Let s be i(1). Sort t, s, 1 in descending order.\nAnswer: t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5131\/6 - 847. Find the common denominator of 53\/(-212) + 223\/12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 74 = 106. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 3*q - 41. Let u be v(4). Suppose 4 + 30 = 5*o - u*h, 0 = -5*o - 4*h + 48. What is the remainder when 132 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240*i**2 + 3708*i**2 - 1247*i**2 - 1225*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221102111 (base 3) to base 7.\nAnswer: -553402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7524043*h**2 - 1598698*h wrt h?\nAnswer: 15048086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/13)\/w*w\/w**1 assuming w is positive.\nAnswer: w**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 7*i)*(-3 + 3 + 2*i)*(11*i**3 - 4*i**3 + 17*i**3).\nAnswer: 336*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {u: 3, n: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22*-6541\nAnswer: 143902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (784 - 805 - (-37 + 1)) + -14 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 + 90*z.\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 7534?\nAnswer: 15068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 11*k + t - 10, -t = 2*k - 8. Solve -k*x + 1 + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*i + 28 = 208, 4*i = 8. Does 47 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -2. Suppose -2*r + t*r = 200440. Let g = 8110 - r. Round g to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 7*r**2 + r + 47. Let l be c(-6). Let h(f) = 111*f - 115. What is the units digit of h(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v**2 - 1393*v + 280. Let l be r(-107). Solve 1 = 3*z + 2*x, -4*z + 3*x + 518 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 19*l + 16. Let o = -722 + 739. What is b(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + 276. What are the prime factors of i?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2126088, -4252191, -6378294, -8504397, -10630500, -12756603?\nAnswer: -14882706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 - 2375*h**4 - 5*h**3 + 2375*h**2 = 0.\nAnswer: -1, 0, 1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqiq when four letters picked without replacement from jujqqjjjijjqjijjjjj.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.16712l in millilitres?\nAnswer: 91167.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -32*a + 33*a. Suppose 0 = a*w - 0*k - 3*k - 793, 5*k = w - 407. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*(-2289)\/(-6104)*4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnekkkneeekkkn. Give prob of picking 1 k and 2 e.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*p**3*v**4 + 2272*p**3*v**2 - 2*p**3*v + 70602*p*v**4 - 292*p*v**2 - p wrt v.\nAnswer: 1632*p**3*v + 1694448*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*k + 14, -2*f + 0*f + 8 = k. Solve 2*p - 8 = 2*y, 0 = -2*p - p - f*y - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 50*p**2 + 544*p - 307. What is k(15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - 6*y + 18. Let d be b(-6). Let l be -2 + (-10)\/(-4) - d\/4. Suppose -l - 2 = -q. What is the remainder when q is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (6 + -4) - -254. Suppose -b = -2*s + 5*w - w, 3*s - 348 = -3*w. What are the prime factors of s?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223 and 47.\nAnswer: 10481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*y = -62, 0 = a + a + 3*y - 22. Let o be (a + 1 + 0)*1. Let i = o - 8. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*r - 4*s = -18, -8*r = -6*r - 3*s + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*k = 48, -2*f + 4*k + 48 = -0*f. Solve 0 = -w - f + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + 13)*(0 + v + 0) to z + b*v and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*s = 53, -3*s - 453 = 173257*l - 173278*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12 + (-126)\/(-8))*40\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:52 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16948968 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/39 in 0.4, 8, 3\/8, -10.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169419.27 rounded to the nearest one thousand?\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*x - 2*x**2 + x - 77*x**4 + 2 + 78*x**4 as a*x**3 + z*x**2 + q*x**4 + w*x + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3964 - -3964. What is the closest to t in -0.06, -2, -2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -109 + 17 + 115.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-1 + sqrt(153))\/(6*sqrt(144)) + -2 + (sqrt(17) - (sqrt(17) + 2)**2) + -2*sqrt(612).\nAnswer: -361*sqrt(17)\/24 - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4164?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 141*k + 1636. Is j(49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.8092 years in months?\nAnswer: 5457.7104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r + 2. Let b = 11 - -3. Let s = b + -16. Let z(a) = -1 + 4 - 2 - 2 + a. Determine s*z(y) - w(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/21 + 820\/(-287).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193578361 to the nearest integer?\nAnswer: 13913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, p: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -29149074.\nAnswer: -2\/14574537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.6 + 66.5999283. Round f to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 11:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*j + s - 6 = -274*j, s - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 23*u**2 + 15*u + 3. Let h(q) = q - 1. Let x(y) = -4*h(y) + k(y). What are the prime factors of x(3)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1799301.3 months to millennia.\nAnswer: 149.941775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 604*f - 42167. Determine o(63).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (615*f**3 + 36*f - 617*f**3 - 4*f)*(-31 - 2 + 3).\nAnswer: 60*f**3 - 960*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 113\/(-4*3\/(-12)). Let f = -63 + a. What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/15, -5, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 60*b = 4158. Let w = -3 + b. Calculate the remainder when w is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c + 2*c**2 - 1\/15*c**5 + 0*c**4 + 0 + 0*c**3. Let b(y) = -2*y. Calculate i(b(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 7 - (-2 + 4). Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -18 - 13\/48*d**4 + 1\/120*d**5 + 0*d**3 + 0*d + 3*d**2. Determine r, given that l(r) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100000 + -110010111101?\nAnswer: -1001100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**4 + 414*r**5 - 832*r**5 + 12*r**3 + 414*r**5.\nAnswer: -4*r**3*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by -2?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 810, 829, 848, 867, 886?\n\"Answer: 19*k + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 83 = k + 34, -2*k - 5*a = -94. What is the highest common divisor of 37 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 12 + 37, 3*b = x - 17. Let y = -2 + 7. Suppose 5*i - x*i + y*j = 147, 0 = -3*i + 2*j + 147. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240635446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16 - 3110\/(-195)) + (-406)\/(-819))*6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2682.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2864 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 - 3*m - 6. Let b(z) = -2*z + 8. Let l be b(1). Let y(u) = -11*u**3 + 7*u + 13. What is l*y(p) + 13*c(p)?\nAnswer: -p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (-102 - -101 - (0 - -6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 33?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352324.\nAnswer: 2, 7, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 8204006*k**2 + 16408018*k - 8204010.\nAnswer: -2*(k - 1)**2*(k + 4102005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/4 - 51*y\/2 + 2601\/4 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-8)\/(-88)). Let f be -1*x\/((-44)\/(-41240)). Round f to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2565025082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/302544 and 71\/2016960?\nAnswer: 6050880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 22, 6, -40, -128?\n\"Answer: -2*j**3 + 3*j**2 + 7*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 + 3*n**2 + 8*n - 3. Let x be d(-5). Suppose 0*o = -x*o + 3*l + 15, -l = -4*o + 32. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkm. Give prob of picking 1 m and 2 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29739 is divided by 310.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 6, -30, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**3 - 15*q**2 + 13*q + 9. Let a(i) = -7*i**3 - 8*i**2 + 7*i + 5. Suppose 24*j - 45 = 21*j - 3*p, p + 18 = 2*j. Determine j*a(s) - 6*m(s).\nAnswer: s**3 + 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32611, -32331, -31873, -31243, -30447?\n\"Answer: -u**3 + 95*u**2 + 2*u - 32707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176169935 - 4*o - 176169935.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 13*l + 6. Let n = 16 + -2. Calculate the smallest common multiple of f(n) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/91)\/((-44)\/(-42)*-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + -2 + (-82 - (3 + -121)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.04045 + 0.04045. Let a be 3\/(-9) - (-50)\/105. Sort h, -1, a, 0.3 in increasing order.\nAnswer: h, -1, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 199055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.1102 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 10838 = -2723. Suppose 3*m - 1298 = -5*w, 0 = -4*m - 5*w - f + 2270. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35669, 290460, 982037, 2328794, 4549125?\nAnswer: 7861424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 108*o**2 + 1962*o + 7452.\nAnswer: -2*(o - 69)*(o + 6)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -5 + (-149400)\/(-14) + 8\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*d = 126*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15 + z + 9 + 0 - 9. Calculate j(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f - 2*m + 90, 3*m = 4*f - 208. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146\/5 - 29. Which is the second smallest value? (a) -3\/16 (b) -2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8510 by -851.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*u + 1165 + 518 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133831850 is divided by 3542.\nAnswer: 3538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*v + 300 - 76 = -22*v. Solve -v*y - 4*i = 12, y - 4*i = 24 - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 0.66. Let i = 26 - 51\/2. Let v = 140 - 137. What is the nearest to u in v, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:25 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (369\/287)\/(6\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2112.55 to the nearest 10.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.930371864 to four decimal places.\nAnswer: 0.9304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311612157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 3 + 318*n.\nAnswer: 318*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -2. Calculate the greatest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6371145 divided by 11605.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 38*h + 13*h - 2*h + 7*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.651258 months to years.\nAnswer: 0.0542715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 46 = 14. List the prime factors of (-1658)\/(-10) - 3\/y.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -2 (b) 2\/5 (c) 19530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5757 (base 9) to base 2\nAnswer: -1000010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729742101*z**5 - 1381894517*z wrt z.\nAnswer: -14594842020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(187)*-6 - (sqrt(187) - 2*sqrt(187)*-4))\/(-6*sqrt(1331)*-1*-6))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hardr. What is prob of picking 1 h and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a)\/(a\/((a*a*a\/(a\/(a**5\/a)))\/a*a))*(a\/(a\/(a*(a*a*a**0*a)\/a)*a)*a*a*a)**(-29) assuming a is positive.\nAnswer: a**(-975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 113712 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -19, -30, -47, -70, -99?\n\"Answer: -3*a**2 + 4*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.05 (b) 0.04 (c) -0.3 (d) -1.463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2474105.\nAnswer: 5, 167, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2592.0000001809 + 2592. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(18\/(-8)))\/(289926\/512001 + (-12)\/21).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and -53\/3008?\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19394 = -177*n + 15500 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 42.14. Let n = 612 - 609. What is the closest to g in 0.4, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**8\/560 + 5*a**4\/12 - 11*a**3\/3 - 13. Let u(i) be the third derivative of p(i). Differentiate u(d) with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 29 = -5*s, -93*h + 21 = 3*s - 90*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -7. Is g\/((-1)\/(-16))*-2 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/12 - 5*v**3\/6 + 3*v**2 - v. Suppose 4 = -5*y - 21. What is w(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*36\/(-84))\/(45\/120).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/4 + 895243*b - 3580971\/4 = 0 for b.\nAnswer: 1, 3580971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14777 and 2033.\nAnswer: -300.41641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2031, -2806, -3581?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27751 - 26942. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4433 - 2190. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**3*s + 11*c**3 + 16182*c**2*s + 5*c*s + 7063*c with respect to s.\nAnswer: 5*c**3 + 16182*c**2 + 5*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20 and -55\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 5*r**3 - 2*r**2 - 3*r**2 + 7*r**2 + r to the form a*r + d*r**3 + g + p*r**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6811 - -6813. Solve 0 = -r*q - 5*y + 13, 5*y + 3 - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = -5*z + 38, -4 = 5*c + 67*z - 68*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/9))\/v*v*v*v**(7\/3)*(v*v\/(v\/v**37))**(-45) assuming v is positive.\nAnswer: v**(-15350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 405*s - 8893. Give w(22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 12, 6, -6, -24, -48, -78?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.88 - -194.88. Let z = 211.83897 + -17.82157. Let l = z - f. Round l to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 6*j + 4. Let i(o) = -4*o**2 + 6*o + 3. What is 4*i(c) - 3*k(c)?\nAnswer: -c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t, -4*t + 12 = 3*v. Suppose -3*r - 2*g = -3, -v*r = r - g - 18. Suppose 4*c - 4*f - 512 = 0, -r*f - 13 = c - 137. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.8 * 13323.\nAnswer: 117242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3433\nAnswer: 2\/3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + -72. What is the remainder when (0 - -1)\/((-4)\/i) + -1 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*x + 40, 2*u - 13*x - 7 = 68 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.212782774 rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262*((-17)\/(-18) - (-20)\/(-45))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1112 + -779. What is the highest common factor of c and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4499.82 + -12261\nAnswer: -7761.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (-2 + sqrt(1872))*-5) + (sqrt(1872) - -1*sqrt(1872)) + 5)**2.\nAnswer: -1080*sqrt(13) + 151657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*-1*3)\/(sqrt(32)*-2))\/(((sqrt(120)*1 + sqrt(120))*-2 + sqrt(120) + sqrt(120))\/(sqrt(160) - 2*sqrt(160))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 501740*o + 4515336 = 0. Calculate o.\nAnswer: -125426, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.582 * 15.\nAnswer: 548.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/8))\/((t*t*t**(-3\/7)*t)\/t))\/((((t*(t\/t**7)\/t)\/t)\/t)\/(t*t*((t\/(t*t**(-9)*t))\/t)\/t*t)) assuming t is positive.\nAnswer: t**(927\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -657*h + 649*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11116205 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**3 + c**2 + c + 1. Let v be z(-1). Calculate the greatest common divisor of 261 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464\/6206931 or 0?\nAnswer: -464\/6206931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87761124 and 1188.\nAnswer: 87761124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(75) + 3*(sqrt(75) + 0 + sqrt(75))) + (sqrt(12) + sqrt(12)*-2*-4)\/(sqrt(4) + ((sqrt(80)\/sqrt(2))\/sqrt(10) - sqrt(4))))**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22863771 is divided by 11431868?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -155922.6 rounded to the nearest 1000?\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*w + 106 - 22 = 0, 3*q + 108*w + 4312 = -78*w + 32*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 2*r + 56. Let m(b) = -b - 1. Determine m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 27. Suppose -10 - r = -3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from jjhjuywuwjmh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145815.7 weeks in milliseconds?\nAnswer: 88189335360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (1*(sqrt(612) + sqrt(612) + -3) - sqrt(612))) + sqrt(612)*2*-6)**2.\nAnswer: -432*sqrt(17) + 88137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2723*p**4 - p**2 + p - 84 wrt p?\nAnswer: 65352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/360 + t**5\/60 + t**4\/36 - 21*t**2. Suppose k(p) = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a - 9. Let s(k) = -k - 2. Let w be s(-6). What is the units digit of b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*p = 245*p + 5856. What is the smallest common multiple of p and 1098?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 27*v + 2*d = 2, -d - 13 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01723 - -0.04204. Let p = t - 0.024. Round p to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, -19052, 2\/5, -3, 0.5 in decreasing order.\nAnswer: 1, 0.5, 2\/5, -2\/7, -3, -19052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.306 - 0.004. Let v = -0.41 - j. What is the closest to v in -14\/9, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 - 14*a**2 + 57*a**3 + 51*a**2 - 61*a**3 - 21*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 = 90*v - 25*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154180?\nAnswer: 2, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/2 + 4*b**3\/3 - b**2 - 2*b + 7. Let n = -10 - -30. Suppose 5*x = -n, 2*h - x = 4 + 4. Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*u**5 + 33*u**3 - 2*u + 7483?\nAnswer: -1540*u**3 + 198*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, w: 4}. What is prob of sequence cccc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhhhhhhxhhhxhxhhhxh. What is prob of picking 2 h and 1 x?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -660*u**3 - 3*u**2 + 9*u - 9. Let d be (3 - 4)*(-22)\/2. Let r be z(d). Let b = 608733 + r. What is b rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -109, 4, 133, 4\/31, 0.3, -0.5?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 688\/(-64))*-4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 13*q**2 + 15*q - 1. Is h(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 0, 1, -3, 12, 70, -2 in descending order.\nAnswer: 70, 12, 1, 0, -2, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*-4646*(-5)\/(-30). Suppose 8*c = 5*c - 1725. Find the common denominator of 10\/(-4)*t\/c and -11\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.94 * 2\nAnswer: 9.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1.2417?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let g = 3153.8 - 3124.8. What is the fourth smallest value in -3, -0.2, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205856 and 5664.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*g + 168. Let m be 8750\/g*(2 + 598). What is m rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (18 + -282 + 125)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3 + 1\/20*k**5 + 2*k - 7\/12*k**4 + 0 + 4*k**2. Is w(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -1, 5, 2\/7, -357, 1\/6 in descending order.\nAnswer: 100, 5, 2\/7, 1\/6, -1, -357","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = -2. Let f be (8\/(-5 - j))\/2. Let b(a) = -41*a**2 - a. Let s be b(f). Let l(w) = -25*w**3. Let h(x) = -2*x**3. Determine s*h(z) + 3*l(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4 (c) -2\/27 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 10*g - 11. What is the units digit of l(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -9\/11, -0.3, -634?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 10*x - 37. Let s be w(12). Let j be 17\/(-3) - (-6)\/9. Let r = j - s. Solve -4*k + r = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 205*u**3 + 1046*u**2 + 840*u = 0. Calculate u.\nAnswer: -4, -1, 0, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.600087 + -16.6. What is p rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/6*-1 + 830\/(-83).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:54 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -h + z, -28*h + 15*z + 115 = -26*h. Calculate the highest common factor of h and 255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*o + 4*o + 35, -214 = 5*o - 3*x. Let n = o + 60. Find the third derivative of -8*w**6 + 8*w**6 - 7*w**6 + n*w**2 - 9*w**6 wrt w.\nAnswer: -1920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 909.338108 and -4?\nAnswer: 913.338108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 654396 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 139*c - 268. Let j(a) = 7*a - 1. Let v(u) = 2*j(u) + t(u). Factor v(o).\nAnswer: 5*(o - 27)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3\/3 + 5*t**2\/2 + 4*t + 1. Let f be o(5). Suppose f - 1 = l. Is l equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - 7)) + 26 + (17 - -1)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000339 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, -2\/11, 213, -2\/9 in increasing order.\nAnswer: -4, -3, -2\/9, -2\/11, 1, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*i**2 + 98*i**2 - 187*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369398032.\nAnswer: 2, 17, 23, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8997420 and 43\/10.\nAnswer: 8997420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1108, -2, 119, 125 in decreasing order.\nAnswer: 125, 119, -2, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4 - 16. Let y be (-50)\/(-15) + (-1)\/b. Solve 0 = 2*n - 10, -5*n = -y*l - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78842921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-2 - 1 + 6) - 3 + 2 + 2 + 25 + 8 + 9)*(d + d + 4*d)*(-d**2 + 2*d**2 + d**2).\nAnswer: 444*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 28. Let t(m) = -m - 13. Let z(g) = -g - 19. Determine q*z(k) - 7*t(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*t - 454*t - 2021*t = 343*t - 20748 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose 0*t - 2*t = p. Solve -3*j = -t + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o = 26*o + 31*o + 550 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r. Suppose z - 2*z + 13 = 0. Let b(h) = z*h - 3*h**2 + 4*h**2 - 12*h + 0 + 5. What is b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9575 and 11807890.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 332507759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30670*p + 175. Let c be g(6). Let w = 277745 + c. What is w rounded to the nearest one thousand?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + -2 - (-38 - -15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 2, -3, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 8*r**3 + 71*r - 1 wrt r?\nAnswer: 12*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 2783?\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) 19810\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205, -827, -1863, -3313, -5177?\n\"Answer: -207*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.7594, -1\/6 in ascending order.\nAnswer: -0.7594, -1\/6, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Let m be 22\/14 - (-10)\/(-70)*-3. Suppose -a + z*n = -4*a + 161, -m*a = n - 104. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22630594 and 240751?\nAnswer: 22630594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2707*s**2 - 10*s - 81. Let w(x) = -2705*x**2 + 8*x + 80. Let m(u) = -4*a(u) - 5*w(u). Differentiate m(d) with respect to d.\nAnswer: 5394*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 893, -1, -1.2 in decreasing order.\nAnswer: 893, -2\/5, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - (1 + (-18512)\/13848). Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173647277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 - 4*k - 3. Let v be q(-2). Suppose -v = -4*b - 21. Let l = -5 - b. Which is smaller: l or 3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 49. Let q be o(-25). Suppose -q*i = -21*i - 168. Let u = i + -6. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.983639 rounded to 0 decimal places?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1682580*u**2 - 5607967*u wrt u.\nAnswer: 3365160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -28*h**3 + 5*h**2 + 431*h + 5. Let y(b) = 3*b**3 + b**2 + b + 1. Let c(w) = -x(w) + 5*y(w). What is the second derivative of c(d) wrt d?\nAnswer: 258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(-7))\/r)*r)\/r*r\/(r**(-2\/3)\/r)*((r*r**1)\/r*r)**(-1\/15) assuming r is positive.\nAnswer: r**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 v when four letters picked without replacement from juvdvvjvcdvddcvcvjd.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/3))\/b*b*(b**(-1)*b*b)\/b)\/(b**(-1))**(-1\/16)*b\/(b*b**5)*b*b**(-1\/8)*b**4\/((b*b**0)\/b) assuming b is positive.\nAnswer: b**(55\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/((-36)\/135)*(-103)\/((-8652)\/(-4816))\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 4)\/((-3)\/9). Suppose 118 = b*p + 5*y, 0 = 5*p - 0*y + 3*y - 218. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 92?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55909, 224101, 504417, 896851, 1401397, 2018049, 2746801?\n\"Answer: -y**3 + 56068*y**2 - 5*y - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 1, v: 4, o: 1, y: 1, w: 5}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.9*246.3\nAnswer: 1945.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (604*a - 546*a + 1124*a)*((-2 + 3 + 0)*(3*a - 6*a + 4*a) + a + 1 - 1).\nAnswer: 2364*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbjsi. Give prob of picking 1 g, 1 i, 1 b, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1618 and -0.3?\nAnswer: 0.04854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600)*1)\/((sqrt(512)*-1 - sqrt(512)) + sqrt(512)) - (2 + sqrt(162)*1 + sqrt(162) + 3*(sqrt(162)*-1 - sqrt(162))))*-4 + -4.\nAnswer: -139*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 70*d - 6*d + 1 as z*d + p and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a**3 + 26*a**2 - 28*a + 55. Give k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35650 (base 11) in base 8?\nAnswer: 144237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/4*(-16)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 8*v = -600. Let r be ((-105)\/v)\/(14\/(-8)). Determine f so that 3\/5*f**r + 3\/5 + 6\/5*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:36 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 11 - 1 - (-1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4642 and 50831.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.71 times -4\nAnswer: 18.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582 by 2.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.135 (b) -0.5 (c) 0.08 (d) -54 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000627361 to 7 dps.\nAnswer: -0.0000627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (4578\/456 + (-84)\/(-399))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, 334, 1582, 4128, 8404, 14842?\nAnswer: 23874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -154. Let s = 3 + 4. Suppose l - s = -f, -l = o - 12. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p**2 - 73*p + 57. Let b(y) = -8*y**2 + 18*y - 14. Let l(t) = -9*b(t) - 2*f(t). Let l(g) = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*b**2*q**2*t - 294*b**2*q + b*q**2 - b*q*t + 3*q**2*t wrt t.\nAnswer: 20*b**2*q**2 - b*q + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 4, -2\/11, -2\/7, 1306\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtyatttvvaypuap. Give prob of sequence papv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -31. Suppose -5*o - q - 5 + 19 = 0, o - 5*q + s = 0. What is the remainder when 6 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/4*(-63)\/((-567)\/(-6))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -5, 1, -8 in increasing order.\nAnswer: -8, -5, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.2 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + sqrt(132)*2 + sqrt(132)) + sqrt(132) + sqrt(132) + (sqrt(132)*1*-4 - sqrt(132)))\/((1*sqrt(96))\/sqrt(8) + 5*2*sqrt(12)).\nAnswer: -7*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26230 (base 11) to base 3\nAnswer: 1220111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116.86699 equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1111100?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 3*a**2 - 3*a - 8. Let c be (-10)\/4*12\/15. Let m be t(c). Solve y + 0*y = 2*w + 2, 1 = -w + m*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**6\/n*n))*n)\/n**(-2\/3))**40 assuming n is positive.\nAnswer: n**(1160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - d**2. Let c be l(1). Find the third derivative of 0*g**2 - g**2 + g**6 - g**c + 6*g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 7*p + 6. Suppose -5*f + 25 = -0*f. Let z be i(f). Which is the closest to 0.2? (a) z (b) -0.2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvtvwvt. Give prob of picking 2 t and 1 w.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.8 times -2127?\nAnswer: 46368.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -11, -38, -87, -164, -275, -426, -623?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -4\/5 (b) 1 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 1:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 8?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6266, -24821, -55690, -98825, -154178, -221701, -301346, -393065?\nAnswer: -496810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.421 + 1.421. What is the nearest to 0.1 in 5, u, 10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 - 11*l. Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28824 - -5101870\/177. What is the common denominator of -121\/324 and o?\nAnswer: 19116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -11020320313?\nAnswer: -11020320213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/110 + (-20858)\/20. Let w = m - -2606. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21*n**2 - 466*n + 466. Calculate the remainder when 308 is divided by v(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/29, -1, 6.8, -2, -3\/2 in decreasing order.\nAnswer: 6.8, 1\/29, -1, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.076? (a) 0.4 (b) 3 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*a**2 - 2*a**3 - 15 + 2*a**2 + 53 + 18*a**3 as s*a**3 + b*a + i*a**2 + n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j**2 + j**3 + j**2)*(-3*j + 4 - 4) + (-2*j**4 + 5*j**4 - j**4)*(1 - 1 - 2) + 5*j**4 + j**4 - 5*j**4)*(2*j - 5*j + 2*j).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**2 - 3\/20*z**5 - 3*z + 0*z**4 + 0 + 0*z**3. Differentiate n(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 6. Let y be 0*(0 + 2\/(-6)). Suppose y = 2*b - 5*b + 6. Suppose 3*l + 8 = 5*x, 0 = x + 2*l - 10 - b. Determine n(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3721.4 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221\/11? (a) 1\/4 (b) 3\/4 (c) -172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 - 2*x + 1. Suppose 5*m - 10 + 5 = 0. Let p be h(m). Find the third derivative of 3*r**p + 4*r**6 - 3*r**6 + 6*r**6 wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19425)\/(-18) + (-18)\/108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 20*q**2 + 20*q - 675. Determine s(-14).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 523.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -247, -2\/5, 1, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7. Let k = 8 - 6. Let i(w) = 0*w**2 - w**k + 2*w - 4*w - 1. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32 - -38)*101\/2. Let l = a + -288. What is the highest common factor of 480 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 20*g + 3. Calculate h(-17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/((-9)\/2892). Is (25\/5)\/(-5) - b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e95f (base 16) in base 10?\nAnswer: 59743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9831486.93 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Let d be (-2)\/9 + 16\/(-9). Let w be h(d). Suppose w*q + 13 = 7*q. Solve b - 4*n = q, 0 = -3*b + 4*n + 4 + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**4 - 4*t**4 + t**4 + (-4 - 1 + 4)*(-3*t**4 + 2*t**4 - 4*t**4) + (-69*t - 81 + 81)*(-2*t**3 - 2*t**2 + 2*t**2).\nAnswer: 148*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-9)\/((-27)\/12). Suppose -t*u - 8 = -4*u. Find the first derivative of -u + 1 + 2*c**4 - 6*c**4 - 4*c**4 wrt c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74809 - 36395. List the prime factors of b.\nAnswer: 2, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(i\/(i**9*i)*i))\/(i**(-6\/11)\/(i\/(i\/(i\/(i*i**(-8)))))) assuming i is positive.\nAnswer: i**(248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qriqizqvir. What is prob of sequence qrvq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -16*q + 18*q. Suppose -2*d - q = -t, 0 = -5*d - 1 + 16. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/70 and -49\/12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let t(m) be the first derivative of -31*m**4\/12 + 20*m - 74. Let j(g) be the first derivative of t(g). Calculate a(j(w)).\nAnswer: 2883*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from lataa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2*(-80)\/(-25). What is the highest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 41*a + 92 - 182 + 72 - 12*a.\nAnswer: -29*a - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523, -1045, -1567, -2089?\nAnswer: -2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.43 - -0.03. Let p = -1.7 - -0.4. Let o = p + 0.3. Which is the nearest to o? (a) -0.3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 - 32*w - 384 = 0.\nAnswer: -8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*g - 51903 = -212*g for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -647*y**7\/210 + 36*y**3 + 748*y**2. Differentiate g(j) wrt j.\nAnswer: -2588*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (18 - 28) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3 - (-1)\/3. Suppose -5 = d*t - 11. Solve -2*p - 3*p - r = 18, -p - r - t = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 13*g - 8. Let n be v(-10). Suppose 5*j = n + 58. Calculate the remainder when j is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 144, 147, 152, 159, 168, 179?\n\"Answer: u**2 - 2*u + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.042 + -0.642. Which is the biggest value? (a) -6 (b) x (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 11558 = 86*o + 13616 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, -3, -1, -1737?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22101 - 10?\nAnswer: -22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*9 + 6\/2. Let d be (-3)\/9 - s\/(-9). Put 2, 5, d in decreasing order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(((-21)\/14)\/(-3)) - -29. Let i(m) = m**3 + 3*m**2 - m. Let p be i(4). Calculate the highest common divisor of v and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, q: 3, g: 1, i: 4}. Give prob of sequence iqq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1079*f**2 + 143*f. Suppose 2*y - 84 = -76. Let n(v) = 30*v**2 + 4*v. Determine y*g(t) - 143*n(t).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*o + 2 = 5, -q = o + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*12\/1035*5.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/4*120\/(-90). Let a be (4\/i)\/((-164)\/(-56) + -3). Let d(r) = -6*r**2 + r + 4. Let f(n) = 17*n**2 - 2*n - 11. Give a*f(z) + 11*d(z).\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.8 - -39. Let q = d + 22. Suppose h + 11 = -3*a, -5*a = -4*h + 3*h + 29. What is the closest to -2\/5 in -3, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/88*(-80)\/(-630)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 7)\/(1 - 0). Suppose -3*o + 0*o + 9 = u. Suppose 0 = 4*r + 4*m - 16, 2*r + 5*m = r + 4. What is the nearest to o in -3, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose -2*h - 14 + 0 = -j, 0 = p*h + 16. Find the common denominator of -24\/5 and 128\/j + (-2)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11559 - 3?\nAnswer: -11562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 24. Solve -4*t - 8 = 3*w, -4*t + 4*w - j = 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7*b = 6. Let d(a) be the third derivative of -2*a**2 + 0*a + 1\/2*a**b + 1\/24*a**4 + 0. Determine d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 204\/89?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = r, 3*f + 3*r = -2*f + 16. Suppose -2*l = 0, -3*a = f*a + 5*l. Suppose a = -m + 6 - 2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + d**2 + 6 + (-7*d + 26*d + 15*d)*((3 - d - 3)*(5 + 1 - 2) + d - d - 9*d) + 0*d + 2*d**2 + 0*d.\nAnswer: -439*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12944769.\nAnswer: 3, 17, 253819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 13. Give l(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/1226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + b = 2*r + 3665, -2*r = -5*b - 3659. Let n = r - -1103. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s + 7*s. Suppose 5*j + 8 = -t, 3*t + 4*j = -s - 1. Let x(o) = t*o + 3*o + o**2 + 2 + 3. Determine x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 divided by -3\nAnswer: -1040\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 15*w + 106. What is p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3))\/sqrt(6))**2 - (sqrt(5) + sqrt(80))*6.\nAnswer: -30*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -7*h**6\/30 + h**5\/60 + h**4\/12 - 11*h**2\/2 - 15*h. Let r(q) be the first derivative of y(q). Factor r(g).\nAnswer: -g*(4*g + 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - v**4 + v + 0*v + 6*v**3 + 3*v - 2 to h*v**4 + g*v**2 + r + b*v**3 + o*v and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1 + -12)*1. Let j = r - 12. What is the units digit of (j - 6\/9)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 144. What is the closest to 0 in p, 0.02, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -57, -194, -457, -888, -1529?\n\"Answer: -7*g**3 - 4*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 8 - 0) + 12 + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (86\/215)\/(32\/15 + -2). Suppose -3*k = g - 0*g - 8, -5*g = -4*k - 21. Put -5, g, l in descending order.\nAnswer: g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010164496 rounded to five dps?\nAnswer: -0.01016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, -83, -6, -14, -8.\nAnswer: -83, -14, -8, -7, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 60. Let c be f(17). What is the smallest value in 3, 43, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349 - -647. Suppose -c = 3*q - 2*x - 841, 0 = 3*q + 3*x - 558. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*z + 112 = -l, -4*l + 150 = -3*z. Let x be l\/(-4 - -5) + -2. Suppose 35*g = x*g. Solve g + 4 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*i - 4*i. Suppose -10*n = -2*n - i. Suppose n*r + 2*m - 9 = 4*m, -14 = -2*r + 4*m. Solve d + 2 = -r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3817.\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 + 5. Let c be v(5). What is the second derivative of 55*b**2 - 55*b**2 + c*b**5 - 5*b wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -46. Suppose 0 = -v - v + o. Solve 4*y = -5*j + 3 - 0, -5*y + v = -2*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340 + 318 - 607)*(2*w - 3*w + 2*w) - w + 2*w + 0*w.\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17466\/2337 - (-112)\/(1 - 15).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1422771, 1422773, 1422775, 1422777, 1422779, 1422781?\nAnswer: 1422783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532 is divided by 684.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -15\/2. What is the nearest to -1 in -5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*m = -18, 3*d = -d - 3*m + 67. Suppose -4*l - d = -2*a, 4*a + 8 - 25 = 3*l. Suppose 3*o = -o + 4*p, a*p - 14 = -5*o. Is o equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h**5 + 485*h**4 + 4210*h**3 + 2140*h**2 - 1560*h = 0 for h.\nAnswer: -6, -1, 0, 2\/5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 96?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65905984?\nAnswer: 2, 19, 83, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*d**4 + 49*d**2 + 11*d + 819?\nAnswer: 996*d**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 2. Suppose -2*u + 2*v = -4, 2*v + 2 = u - 0*v. Let p(y) = -24*y**u - 23*y**2 + 49*y**2. Determine p(g(i)).\nAnswer: 162*i**2 - 72*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:40 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1056537945.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = 3*n + 5*a, 4*n - 3*a - 47 = 0. Suppose 3*b - n = 13. Let x be (-4 - 216\/(-32)) + (-2)\/(-8). Sort 1, x, b in increasing order.\nAnswer: 1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**2\/10 + 1220862*d\/5 + 348818\/5.\nAnswer: -(d - 348818)*(7*d + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*r = -217*r + 1757*r - 6680. Let l = 21\/40 - 1\/40. What is the third biggest value in 7, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320 - -356.8. Let p = g + 1.2. Let o = p - 37.99999963. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxixxxxxxxxixxxxxx?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3458536951.\nAnswer: 3458536951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1600\/3)\/((-527)\/75 + 7). What is y rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -548, -541, -520, -479, -412, -313, -176?\n\"Answer: t**3 + t**2 - 3*t - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5 - (3 + 1)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/128908 and 9\/24388?\nAnswer: 902356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + (-1548)\/(-28). Suppose 5*q = o + o - 136, 0 = -o - 4*q + a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829 divided by -1829?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -552112 (base 10) to base 8\nAnswer: -2066260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + 4))*1004\/2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -86. Calculate the remainder when h is divided by 2\/(-5) - (-77)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-26))\/(63\/1638). Solve 0 = c*x + 3*n - 35 + 2, 4*x - 21 = n for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455053889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, -7, 163.\nAnswer: -7, -4, -2, 2, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*f - 1224*f + 7*f**3 + 923*f.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217846*f**4 + 37414*f**2.\nAnswer: 5228304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-91)\/(-30) - 1. Let p = 13\/30 - h. Let z = 13.98 - 13.98. Is z greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 7 = -1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.915 - -0.015. Let m = o - -2.1. What is the smallest value in 3, -3\/8, m?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 + 699*b + 760. Give g(71).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 12*v - 4. Calculate b(-9).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 321, 454, 567, 654, 709, 726?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, i: 2, a: 2}. What is prob of picking 2 l?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.1, -6.3, 71, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 5. Let f be u(0). Let y(c) = 261*c + 2043. Let a be y(-8). Let l be (5\/(-2))\/(f - a\/10). Let o(h) = 2*h. Calculate o(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/35))*m*m**(-15))\/(m**(-5))**(-1\/46) assuming m is positive.\nAnswer: m**(-22807\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104864 = 1818*y + 16942 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.874 + -0.126. Let y be (-12)\/(-14)*(-1)\/2. Put 0.3, -2, y, q in descending order.\nAnswer: 0.3, y, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 120.031. Let y = k - -0.041. What is y rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -3*d + d, 5*a + 14*a + 49 + 65 = -3*d + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 110*v**3 + 14*v**2 + 4*v. Let b(l) = 56*l**3 + 7*l**2 + 2*l. Let z(r) = -9*b(r) + 4*m(r). Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533603 times -65?\nAnswer: -34684195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/8 - 7*f**3\/6 - f**2. Let h(j) = 10*j + 3. Let w(n) = -13*n - 3. Let l(b) = 4*h(b) + 3*w(b). Calculate 7*l(p) + 3*m(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381.73 + 369. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33029.\nAnswer: 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588582157?\nAnswer: 181, 8776697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 25. What is the common denominator of 2\/(-3)*18\/n and (-18)\/(2 + 52\/(-18))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -8 + 0 + -1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 2728535*g - 30013280.\nAnswer: -5*(g + 11)*(g + 545696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -36 + (-4 - -40).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -29*y**2 - 3*y - 15. Let i(g) = -14*g**2 - g - 6. Calculate -7*i(r) + 3*u(r).\nAnswer: 11*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-42) - 128\/24)*6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, -4*y + 15 = 4*w - 1. Solve w = -2*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -43921, 9, 4 in descending order.\nAnswer: 61, 9, 4, -43921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**2. Let i(l) be the second derivative of 0 + 0*l**2 + 1\/6*l**3 - 45*l. What is g(i(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21. Suppose -2*i - 694662 - 5893348 = j*t, -5*i - 4*t = 16470022. Let l be 5 + (-28)\/6 - i\/(-6). Round l to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2301 (base 5) to base 10\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + -9 + 5\/(-4). Sort n, 0.1, -0.4.\nAnswer: -0.4, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -597*w**2 + 551*w wrt w.\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59825.37 centimeters to millimeters.\nAnswer: 598253.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.0561 (b) 1 (c) -48 (d) 0 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(-4 + 4 + 2)*(2*y + 3 - 3)*(1 + 1 + 0)*(-8 - 140 + 26)*(0 + 0 - 1).\nAnswer: -1952*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from eymemettyreetym?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -335996, -665654, -995310, -1324964, -1654616, -1984266, -2313914?\n\"Answer: s**2 - 329661*s - 6336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.0377912 + 0.5\nAnswer: 6.5377912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 45 = 2*n, -2*k - 405 = -5*n - 399 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 x when four letters picked without replacement from aawawrwxrrxax.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 o when four letters picked without replacement from fuufowfffu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(63\/7)*(50922\/(-18))\/23.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0593723905 to 4 dps.\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d - 14. Calculate the remainder when h(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:36 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let u = -6 - -7. Let w = u + x. What is the biggest value in w, -2\/7, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -320, 42 in descending order.\nAnswer: 42, 2, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from aaaaaamaaama.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00361556 rounded to 5 decimal places?\nAnswer: -0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*l + 17602638 = -1920848 - 5165762. List the prime factors of l.\nAnswer: 2, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.78 or 1805?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -1\/14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x = -477*x - 1493 + 8466 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707.885 centuries in decades?\nAnswer: 27078.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in -0.08, 1, -0.4, 3\/8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 8:27 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:41 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1041042 (base 5) to base 6\nAnswer: -220332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -46*l - 12. Let d be (0 + 0 - 6) + 0. Let j be f(d). Let q = -69 - -93. Calculate the greatest common divisor of q and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:17 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099, -1096, -1093, -1090, -1087, -1084?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -29, 3, 11, -1\/2, -0.651?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 30, -14*j + 13*j - 10 = -5*k + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 1, n: 1, s: 1, c: 2, r: 1}. Give prob of sequence szrb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -806, -1614, -2422, -3230?\n\"Answer: -808*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from cegcvmegdcmdvee.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (-6 + 5))*(-6)\/2. Suppose -4*x + x + g = 0. Let s = 0 + 3. Solve 5*v - 5*z = -x, s*v - v + 5*z - 19 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007172 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**3 + 3*z**3 + 63*z**3.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwdwwdwwdwww. Give prob of picking 2 w and 1 d.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(120)\/(sqrt(10)*2))\/(6*sqrt(36)\/(-1*sqrt(225))).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4518 + 4521. Put 4, -2, s in descending order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/238 + -3813\/1190. Let v = n - -3. Which is the second smallest value? (a) 0.5 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 665*y**2 - 21775*y + 22445.\nAnswer: -5*(y - 1)*(y + 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 132 - 3 = 0. Calculate the highest common factor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13907477*a**3 - 11620787.\nAnswer: 41722431*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:37 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, o: 3, j: 1, i: 6}. What is prob of sequence popj?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, q: 4}. What is prob of sequence oq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.82343 to one dp.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h = -30*h - 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192 divided by 3?\nAnswer: 2192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s - 5. Let n(v) = v. Give -5*n(t) - u(t).\nAnswer: 8*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-29)\/((-203)\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 12*i + 24. Let m be y(11). Let p be (m\/((-234)\/(-2256)))\/(4\/6). Suppose p = 9*r - 532. 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: Let f(a) = -a**2 - 9*a + 5. Let u be f(-9). Solve 7 = -u*q + 3*v - 3, -4 = 2*q + 4*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/44)\/(18\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x**3 + 4*x**3 + 2*x**2)*(-16 + 11 + 50)*(-2*x - 3*x + 4*x).\nAnswer: -45*x**4 - 90*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 565 + 448 = 6*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 186 = -4*u + 224, c + 2*u = 4 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j. Let b(h) be the second derivative of 0 + 1\/6*h**4 + 0*h**2 - 10*h + 0*h**3. Determine b(i(x)).\nAnswer: 392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 385\/2464*6\/(-2). Is y > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 21*p**2 + 18*p - 38. Let g be w(-20). Which is the biggest value? (a) -1.7 (b) g (c) 0.3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -565 + 1148. Let z = -578 + h. What is the nearest to -0.1 in -2\/11, z, 3\/4, -2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4163*q**2 + 2153*q**2 - 8320 - 3051*q**2 + 8320 as m*q**2 + l + r*q and give m.\nAnswer: -5061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Suppose -2*d + 13 = 7. Solve 3*b - m*t + 16 = 0, -3*b + 2*b + 13 = d*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080278?\nAnswer: 2, 540139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23197514 + -7097514. What is j rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 154476\nAnswer: -1235808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -20 - 50. Suppose m*v - 1133 = -g, -g - v + 6*v + 1133 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311502 is divided by 1289?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-3) + (-3 - -4). Let t be 12*2\/(w + -6). Let k be ((-3)\/(-6))\/((-2)\/t). Solve -i - k - 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 6.13. Let c be 4 + (1386\/27)\/(-11). What is the closest to c in k, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:32 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.72 - -4.72. Let a = -1.92 - -1.4. Let n = a - -0.02. Sort n, i, 0.06 in decreasing order.\nAnswer: i, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 533*o**2 + o + o - 8*o.\nAnswer: 533*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 41*q - 7. Let p be x(5). Suppose -p = 40*z - 41*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3103245304 to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 140874870 divided by 70437435\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/7, -0.2, 4\/3, 6, -3\/41, 0.12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 718.645ug?\nAnswer: 0.000718645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 - -274.114. Round u to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**7\/150 - 2*d**6\/5 - 17*d**5\/75 - 269*d**2. Factor k(q).\nAnswer: -q**2*(q + 34)*(7*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298666 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17132800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40 - 44) + -2 + 11. Let v(u) = u**2 - 11. Let a be v(t). What is the highest common divisor of 168 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -4, 1\/4 in ascending order.\nAnswer: -4, 1\/4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -800, -1900, -3130, -4490, -5980, -7600, -9350?\n\"Answer: -65*a**2 - 905*a + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c. Let i(r) = 23*r - 1. What is i(q(h))?\nAnswer: -69*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 303 - 822 = -k, k = 5. Let p be (14*(2 - 0))\/(-8 - -9). What is the greatest common divisor of p and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 781972*a - 5473797. What is j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/840 - s**6\/90 - s**5\/60 + s**4\/12 + s**3\/2 - 4*s. Let l(i) be the second derivative of z(i). What is l(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1924539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 772929869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -36*v**2 + 1. Let l(i) = -4*i. Give c(l(m)).\nAnswer: -576*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/17 + 32*c**2\/17 - 94*c - 1628\/17 = 0?\nAnswer: -37, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 9 + 2)*(6 - 1 + 4)*(1 - 1 - 1)*(-85*y - 77*y + 18*y) - y - y + 4*y + (-2*y - 4 + 4)*(-2 + 3 - 3) to k + f*y and give f.\nAnswer: -7770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -525*b - 161*b - 138*b + 74*b to the form z + n*b and give n.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6059 + (75\/(-6))\/5*(-36)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24319 + -24318.5. What is the closest to 46 in 2, 1.6, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 26371 (c) -9\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68820346 - -50.\nAnswer: -68820296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -3 (c) -0.8 (d) -114087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-26)*(-520)\/80.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6656 - 6491. Which is the third smallest value? (a) 3 (b) 4\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (162 - 2 - 20 + 44)*(23*b**2 + 3*b**4 - 21*b**2 + 21*b**4 - 2*b) in the form h*b**3 + t*b + m*b**4 + r + u*b**2 and give u.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irs. Give prob of sequence ri.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 8*g**2 - 2*g - 2. Let o be d(-8). Let k(q) be the first derivative of q**4\/4 - 14*q**3\/3 - q**2\/2 + 11*q - 7. Calculate k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:05 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3253*o**2 - 4*o - 2. Let u(w) = -42291*w**2 - 54*w - 27. Give -54*m(g) + 4*u(g).\nAnswer: 6498*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 111010211100022121?\nAnswer: -111010211100022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:10 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Let t be (-1 - -3) + (0 - n). Let k = t + 5. Which is the nearest to 0.1? (a) -1 (b) 1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810131 is divided by 80997?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 40. Let x be b(-10). What is x rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11966 - 11946. Solve -29*p = -33*p - g, -5*j + 20 = -5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.75 + 2.6944. What is d rounded to 2 dps?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37192 = 4*j - 19*j + 52808. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -10 + 1\/12*j**3 + 1\/2*j - 3\/8*j**2. Find x such that v(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-9))\/g*g*g*g**5)**(2\/133)\/((g**0)**(-2\/77)\/(g**6*g*g\/((g\/g**(1\/4))\/g*g))) assuming g is positive.\nAnswer: g**(3985\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 154 = -2*c. Let f = c - -13. Let l be 2 - (14\/f - 7\/5). Solve -l*g + 2*g = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57680 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 2. Let x be d(0). Suppose 0 = 4*m - x*p - 0*p - 14, 2*p = -m + 6. Suppose m + 3 = g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.3 (b) -154 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 264\/(-36))*6\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.967 - -0.033. Let p = 300.6 - 358. Let f = u + p. Which is the third smallest value? (a) 3\/13 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 14*r. Give o(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4607 = -3*k, 0 = -3*k + 5*k + 3*o - 3053. Suppose 8*p - k = -5*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1819491*d**2*u**6 - 55*d**2*u**2 + d**2*u + d - u**2 - 21*u wrt u.\nAnswer: -218338920*d**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*-1*-10. Suppose 2 - 17 = -c*y. Suppose y*t - 5 = 4. Solve d = -t + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r + 1. Let u(d) = 2*d**2 - 6*d - 9. Let n(i) = -3*p(i) - u(i). Let z(v) = v**2 + v + 1. Determine -n(f) + 4*z(f).\nAnswer: 3*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*b - 11 + 11)*(-628*b**2 + 629*b**2 - b + 72 + 0*b).\nAnswer: -19*b**3 + 19*b**2 - 1368*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4033 - 8209 + 4078)*(-35 + 35 + 11*c**2).\nAnswer: -1078*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -2\/9, -20280\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 660 - -1?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1331) + sqrt(1331) + (sqrt(1331) - (-1 + sqrt(1331)) - sqrt(1331))*4 - sqrt(1331) - sqrt(1331) - (sqrt(110)\/sqrt(80))\/sqrt(2)).\nAnswer: -177*sqrt(11)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-1)*(-1 - -3). Let p = 27 + -25. Solve -3*n + r = -p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 1, -61, -347, -5, 3 in descending order.\nAnswer: 4, 3, 1, -5, -8, -61, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 8. Let k be (-8 + 3)\/(-1) + n. Suppose 2*d = -k*d - 10. What is the second biggest value in -5, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -752951 - 2?\nAnswer: -752953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 - 2*c - 3. Let s be f(4). Suppose -s + 13 = 2*l. Let t = -640 - -650. What is the smallest common multiple of l and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjlillllljacacjllyj. Give prob of sequence lia.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, t: 1, i: 2, h: 5, j: 1}. What is prob of sequence hh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqqqqwwwqqqqqqqqq. What is prob of picking 4 q?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 smaller than 31106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6) - 1\/(-2). Let f(j) = -3*j - 1 - 3*j + 4*j. Let c be f(-3). Solve c*h - 2*p - 42 = -13, -4*p = 2*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.63 + 0.37. Let a = 35 - d. Is 0.41 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27061.4 litres?\nAnswer: 27061400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/25 - 2\/10. Solve -b = 4*g - 5*b - 16, -g + 5*b + 8 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0*q**3 + 2*q**2 - 1\/8*q**4 + 0 + 0*q. Let b(d) = 2*d**2. Calculate z(b(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 3*k + 2. Let l be w(2). Let r be 3\/((-3 + 5)\/(-2)). What are the prime factors of r\/((-156)\/l) - (-3254)\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -2. Let t = -11 + 20. Let j(x) = x**3 + 4*x - 5*x**2 + 6 - t + 4. Determine j(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 56, 2\/7, 2 in increasing order.\nAnswer: 2\/7, 2, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 14*q - 10*q. Let s be ((-72)\/(-15))\/(q\/(-30)). What is the second derivative of s*v**3 + 6*v - 36*v**3 - 10*v**5 wrt v?\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - g - 5*g + (g + 2*g + 0*g)*(-13 - 13 - 22)*(1 - 3 + 4).\nAnswer: -290*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1041 and 144.4?\nAnswer: 1185.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*b + 0*b - b)*(1 + b**2 - 1) - 2*b**3 - b**3 + 2*b**3)*(11*b + 18*b + 11*b) in the form o*b**3 + m + i*b**4 + y*b + u*b**2 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52735 * -2088.\nAnswer: -1101.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 8*a**2 + 6*a + 25. What is c(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {m: 5, i: 1, y: 1, o: 1, k: 3, x: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25394, 50692, 75988, 101282, 126574?\n\"Answer: -x**2 + 25301*x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, 114, 467, 1106, 2127, 3626, 5699, 8442?\n\"Answer: 16*r**3 - r**2 + 54*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232930 divided by -23.\nAnswer: -232930\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.07574 centuries to decades.\nAnswer: 840.7574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*w = 0, 2*w = -4*k - 8 - 2. Let j = -4.9 - -5. Which is the nearest to j? (a) 1 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 5*q - 6, 0 = -32*g + 29*g - q + 18 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (1\/((-8)\/(-40)) + (-8)\/2). Let v(u) = u**3 - 2*u**3 + u**2 + 3*u + 2*u**2. Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from ccccccurgruc?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -5 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3417 = 35*d + 477. What is the highest common divisor of d and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5739, 1.\nAnswer: -5739, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 177683574*t. Let h(u) = u. What is j(h(n))?\nAnswer: 177683574*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) 3\/4 (b) -0.1 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 3}. What is prob of sequence kkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let j be (-3 - 0\/3) + 12. Suppose v = -2*v + j. Solve -v*m + m + 10 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8*a = -2240. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u**2 + 4*u**2 + 8*u**2 + 0*u**2 + 1819. Is c(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 19\/3)*3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 1)*(n - 2*n + 2*n) + 2*n + n - 2*n + 4*n - 2*n - 3*n + (-6*n + n + 3*n)*(-1 - 1 + 3).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 1 + 1 - (48 + -115 + 64)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 8:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7582445 and 94075?\nAnswer: 37912225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noon when four letters picked without replacement from nnnnnnvonnnovn?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/44768 and -101\/3888.\nAnswer: 10878624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 18*b - 6. Let y(r) = -r**2 - 17*r + 5. Let g(o) = 5*n(o) + 6*y(o). Factor g(i).\nAnswer: 4*i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*n - 13 - 50 - 39*n - 42*n + 18*n**2.\nAnswer: 18*n**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, -5, 2 in decreasing order.\nAnswer: 13, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**4 + 5*g**4 + g**4)*(-4*g + 6*g + 0*g)*(1 + 1 - 3).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/39)*o*o*o*o**32*o*o*(o**(6\/11))**(2\/37))**(-1) assuming o is positive.\nAnswer: o**(-587362\/15873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/11 - 2406*d**2\/11 - 320398*d\/11 - 939594\/11 = 0.\nAnswer: -1051, -149, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 13\/74, 4.\nAnswer: 13\/74, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 w when three letters picked without replacement from {w: 6, m: 2, a: 2, g: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1539410\/217 - 7094. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216755979 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3872.848 to the nearest ten.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555111884 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51a09b + 1a?\nAnswer: -51a081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4189.06 + 4189. Which is the closest to j? (a) 0.3 (b) -1\/4 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/21 + -6\/7. Let d = 165 + -1153\/7. What is the nearest to r in d, 0.5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 - 2911*c - 5826 = 0.\nAnswer: -2, 2913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*1 - sqrt(216))*-2)\/(sqrt(8) + sqrt(8) + sqrt(16)\/sqrt(2)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -103. What is the biggest value in 4, i, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + 21*r + 6566729. Let m be s(0). Suppose m - 1831729 = -5*j. Round j to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30802b (base 14) to base 2\nAnswer: -110001111010010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2012 + 5?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*t - 41*t = -97*t - 1952 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -35. Solve k - p = -13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836374663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olal when four letters picked without replacement from {o: 4, a: 8, i: 3, l: 2}?\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (34 + -15) - (-60 + 41)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 5*c**8\/336 + c**7\/21 - c**6\/8 - 2*c**5\/3 - 5*c**4\/6 - 5*c**2. Solve u(i) = 0 for i.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (33 - 32 - (-4 + 16))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, e: 1, f: 3, h: 5, p: 1}. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 9*s + 0*s + (0*s + 4*s - 3*s)*(-1 + 2 + 1))*(6*s + 3 - 9*s + 0 + 2*s**3).\nAnswer: 22*s**4 - 33*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p - 18. Let o = 2 - -1. List the prime factors of (3\/o - 0)*p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/24 (b) 0.3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4 - 46*b**3 - 33*b**2\/4 + 713*b - 961 = 0.\nAnswer: -31\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1b8 (base 12) to base 8\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:50 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200632817321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 597798.6nm?\nAnswer: 0.05977986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 507030.\nAnswer: 3\/169010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 20, 29, 36?\n\"Answer: -a**2 + 14*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 96636.72 hours?\nAnswer: 347892192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-174)\/(-261)*(-6)\/(-22))\/(-2))\/(-3).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*u**3 + 222151*u + 60465029.\nAnswer: -78*u**2 + 222151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8695, -17369, -26025, -34663, -43283, -51885?\nAnswer: -60469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o)*(4 + 3*o - 4).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 10. Let p be s(-5). Suppose 0 = 3*t - p*k - 1 + 2, 2*t - 4 = k. Solve -3*l = b + 3, 0 = -b + 5*l - t*l + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/9 + 5032*u\/3 - 60352\/9 = 0?\nAnswer: 4, 7544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 1 - 5 + 1178*g**2 - 1177*g**2 + 98*g - 97*g - g**3 to j*g**3 + y*g**2 + b + o*g**4 + k*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:46 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53858 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077*d**3 - 719*d**3 + 1814*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.837 + 317.163. What is the third biggest value in 0.1, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - 132\/(-28). Differentiate 4*m**3 + 0 - m**3 - b with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50056, -100015, -149786, -199279, -248404, -297071?\nAnswer: -345190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-105) - (-78)\/(-585). Which is the nearest to -4\/9? (a) -0.4 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -22 - 5 + x - 9*x**2 - x**3 + 13. Let o be g(-13). Calculate the greatest common factor of 59 and o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*y = 8, 122*b - 119*b + 3*y - 24 = 0. Solve 0 = 103*z - 101*z + b*k + 6, k + 24 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615157269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - b**3 + 4*b**2 + 4*b.\nAnswer: -b*(b - 2)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -2314?\nAnswer: -15\/2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:11 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from omdgodfm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1034119\nAnswer: 5\/1034119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*w**2 - 847*w**2 - 854*w**2 + 3401*w**2 - 851*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10469)\/580 - (4 + -6 + (-117)\/(-60))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186191919 a multiple of 1203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 80154, 4, 5 in increasing order.\nAnswer: 1, 4, 5, 80154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*h - 2, 5*h - 12 = 5*m - 2. Let q be (-250)\/30 + m\/(-3). Let f = 5 - q. What is the highest common divisor of f and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8313360, -8313326, -8313270, -8313180, -8313044, -8312850?\nAnswer: -8312586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*j = 590, -69*i + 299 = -68*i - 5*j. What is the lowest common multiple of i and 7?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3*u**2 + 8*f**3*u + 5*f**2*u + f*u**2 - 4*f*u - 34*u**2 - 3*u wrt f?\nAnswer: 24*f*u**2 + 48*f*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*q - q - 7, 4*y + 4*q - 64 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 + -149. Calculate the lowest common multiple of 3 and (9\/15)\/(v - 5\/(-25)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*l + 12, 2*l + 11 = -3*j + 1. Let u = 10 - 13.8. Let g = u + 0.8. Put -1\/5, g, j in decreasing order.\nAnswer: -1\/5, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-200))\/((-2)\/(14*-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202795247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2\/25, 4, 5, -5, 1.227?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-54))\/((-4420)\/(-234))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y + 2. Let u(c) = -c**2 + 2*c - 3. Calculate -5*o(v) - 3*u(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22034 (base 8) to base 11.\nAnswer: 6a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 15. Suppose -25 = -10*w - 15. What is the third derivative of 2*u**6 - w + 4*u**6 + d*u**2 + 1 wrt u?\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*l**5 - 45*f**2*l**3 - 4*f**2*l + 42*f**2 - l**2 wrt l?\nAnswer: -60*f**2*l**2 - 270*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71277.16470584 + -16.85560584. Let t = 71264 - q. Let s = t + -3.7. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680881 is divided by 226434.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7028*p**5 + 82663*p**5 + 61236*p**5 + (0*p**4 + 2*p**4 - 3*p**4)*(1 - 1 - 2*p)*(2 + 1 - 2 + (-1 - 3 + 3)*(-1 + 3 + 0)).\nAnswer: 136869*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12330211322 (base 4) to base 14\nAnswer: -355910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Suppose -5*x + 0*x + 15 = 0. Suppose -3*a - 1 = l, 0 = -x*l + 4*l + 2*a. Let g(t) = -t - t - l*t. Determine n(g(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m**2 - 29*m + 29*m**2 + 2*m**4 - 5632*m**3 - 43*m + 22*m**2 - 45*m**2 - 3 wrt m?\nAnswer: 48*m - 33792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -5*l**4\/12 + l**3\/3 - 2*l**2 - 9902*l. Let m(w) = -11*w**2 + 4*w - 8. Give 2*m(g) - 5*p(g).\nAnswer: 3*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 255724 = 9*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**13*(h*h**(-1\/2))**(1\/2))**22 assuming h is positive.\nAnswer: h**(583\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:20 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2831)\/298*(8 - 4 - 6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 2. Let s be k(5). Let g be (-12)\/(-10) - 1\/5. Suppose -5*i - 5*y + g + 49 = 0, -3*y + 25 = 2*i. Solve -i*q = -q + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 43*s**7\/2520 - s**5\/10 - 7*s**4\/4 + 35*s**2. Let v(h) be the second derivative of f(h). Differentiate v(n) wrt n.\nAnswer: 86*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:31 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3498 = 55*c - 11*c - 3410 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 36*c - 112950. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 4*o - 3 = 0, -5*o + 4 = -f. Let h(p) = -7*p**2 - 2*p + 1. Give h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -3 (c) 1\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61057023?\nAnswer: 3, 20352341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -67.8. Sort 0, 1\/2, j, 3 in descending order.\nAnswer: 3, 1\/2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15446 + 15392. Put 5, 9, z in descending order.\nAnswer: 9, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 102272136*k\/5 - 1307448725250312\/5.\nAnswer: -2*(k + 25568034)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6 + 1. Let u be 2\/n*(0 - -2). Let l = -2\/35 + 11\/70. What is the third smallest value in l, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-578)\/(-1122) + 4\/(-22).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53895688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yyvvqvvyyqq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(-4 + (0 + sqrt(1216) - sqrt(1216)) + sqrt(1216) + -1 + -1*sqrt(1216) - (sqrt(1216)*1*6 - (-2 + sqrt(1216))*1)))**2.\nAnswer: 560*sqrt(19) + 30444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 242*a + 2325. Let j be k(-10). Solve -59*o - 4*z = -57*o + 16, -j*z = 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 28 = -4*t, 3*t + 1 = 3*a + 25. Suppose 0 = -t*z - z + 740. Suppose 72 = 2*q - z. Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 197877330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73491 and 33405.\nAnswer: 367455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*o + 24, 3*o - 4 = -2*o + 4*d. Suppose 0 = u + 2 - 3. Is o smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 27*n**3 + 27*n**2 - 54*n - 27. Let d(l) = -l**2 + 2*l + 1. Calculate 81*d(g) + 3*h(g).\nAnswer: 81*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212\/(-252) + 19\/(-45) + (-3)\/(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 9 (b) -2 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -164, -373, -666?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -16500aa?\nAnswer: -16500ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 1. Let f be q(-1). Let a(u) = 4*u - 4 + 16 + 2*u**2 - 9. Let c be a(-2). Solve -f = j - c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myxmqlymvyyy. Give prob of sequence lq.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/2*(-7 - -3). What is the third derivative of -6*w**5 - 5*w**5 + 21*w**2 + 12*w**5 + 2*w**k wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*5\/55)\/((-9)\/(1881\/(-38)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*d = 689*d - 341*d - 13140. Is d a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26644 divided by 6661\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t**(-2))\/(t**(1\/5))**18 assuming t is positive.\nAnswer: t**(-107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + -5 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126795.\nAnswer: 3, 5, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4063, 8128, 12195, 16264?\nAnswer: 20335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 9 + 19. Let r be 2\/7 - (-22)\/p. Suppose -47*j - 1151 = -1339. Which is the nearest to r? (a) j (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1230\/3280)\/((-54)\/(-16))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 15) to base 14\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2)*w*w)*w**(-3))**(2\/15) assuming w is positive.\nAnswer: w**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from gaoellzaooeloee.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20*d**2 - 944*d - 2806. What is f(-44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -49. What is the nearest to -36 in 3, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 226*v - 190. Calculate the remainder when g(1) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 + -615 + (17 - 0) - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130.091 + 130. Let c = -207940 + 207940.090939. Let v = w + c. What is v rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 139\/3. Let i(h) be the second derivative of 2*h + 0 + 0*h**2 + v*h**3 - 1\/6*h**4. What is the second derivative of i(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18.856188 seconds?\nAnswer: 0.00523783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:12 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Let o = -11.5 - -1.5. Let t = o - -12. Sort 1\/2, t, q in ascending order.\nAnswer: q, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 14*t - 2. What is x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-24))\/((-1647)\/(-441396)).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151)\/((-1222194)\/307515) + (-37 - 1).\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:01 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/178359 and -59\/35955.\nAnswer: 2137632615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 36\/5 (b) -5\/3 (c) -14 (d) 5 (e) 0.2 (f) 3 (g) -27.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (-8 - (-6 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*147\/(-588).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 6 = 14*u. Calculate the least common multiple of u and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y - 36. Let d = -3 + y. Let i(z) = -z + 12. Determine i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 329. Is y 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 -2\/5, -12, 0.7, 0.079, 0.2, -3, 4\/69?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23817 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - 4. Let i = h - -60.5. Let t = i - 7.5. Are t and 16\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f**2 + 25\/3*f**3 + 0*f**5 + 0*f**4 + 0*f - 7\/6*f**6 + 26. Find the third derivative of d(y) wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 33. Let z be g(-15). Factor -1\/2*x**4 - 2 - 6*x - 3*x**z - 13\/2*x**2.\nAnswer: -(x + 1)**2*(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 divided by 95.\nAnswer: -498\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/15)\/(-4)*(-12)\/(-8). Which is the smallest value? (a) -1\/9 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u**3 - 207*u**2 - 37*u - 13. What is x(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 69, -1, 2, 14.\nAnswer: -1, 2, 3, 4, 14, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*c - 25 = -4*c, 2*u - 3*c = 15. Suppose 2*v - 756 = o, -u*o + 11*o = 3*v - 1156. List the prime factors of v.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36153, -72295, -108439, -144585, -180733, -216883?\n\"Answer: -r**2 - 36139*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkrkckzrzq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*b + 2*b = -11*l + l + 168, -79*b + 75*b = l - 38 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448 is divided by 679?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 19\/8, -2\/11, -4, 0.282, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*z = -24, -4*a + 3*z - 9 = 2*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q - 4*i + 8, -5*q - 5*i = -40. Let l(r) be the second derivative of -1\/21*r**4 + 0 + 0*r**2 + 0*r**q - r + 1\/70*r**5. Solve l(a) = 0 for a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -318 in -4\/9, 1\/4, 7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -980 + 186. Let h = x - -1626. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 407762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72528433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/153 - (-76)\/18. Let j = -163 - -166. What is the lowest common multiple of (-6)\/d - 60\/(-24) and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Suppose 5 = -g + 6. Suppose -2*d - 2*d - 18 = -u, -1 = d. Let l(j) = -9 + 22 - j - u. Give g*v(x) + l(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 1)*-1*6\/15. Let y(k) = k**2 + 7*k. Let p be y(-5). Sort s, 2, p in decreasing order.\nAnswer: 2, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/1450? (a) -2\/5 (b) -103 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 115061497105275.\nAnswer: -115061497105275.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 51 - 9959*k**3 - 5893*k**3 - 132 + 37 as z*k**3 + j*k + b*k**2 + g and give z.\nAnswer: -15852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -26.2. Which is the nearest to 0.1? (a) 0.3 (b) g (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2881, 2841, 2789, 2725, 2649, 2561?\n\"Answer: -6*g**2 - 22*g + 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -34. Let l(u) = u**2 - 7*u + 9. Let w be l(6). Suppose f = w + m. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*p**2 + 13*l**3 - 5*l**2*p**3 - 3*l*p**3 - 5*l*p wrt p.\nAnswer: 4*l**3 - 30*l**2*p - 18*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3864 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 16.7, -5, 3\/4, -1\/2, -5\/3, -760?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1445*b + 1090*b + 885*b to the form g*b + v and give g.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -5*y - 3*l, -y + 5*l = -0*l - 4. Put 4, y, -5 in descending order.\nAnswer: 4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20333*j**3 - 3135*j**2 - 1492*j - 26566.\nAnswer: -121998*j - 6270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 31 + 4 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from oozozozzzooz.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2\/9*n**2 - 14\/9*n - 4\/3 = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 53 = -500*h + 506*h, 17*h = 7*s - 25 + 126 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.7. Let d = -2.5 - 1.5. Let z = d - u. Sort z, 5, 4 in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shhh when four letters picked without replacement from {w: 1, s: 2, e: 1, h: 3, v: 3, b: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331255 divided by -14?\nAnswer: 1331255\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -20. Let q be (-189)\/(-42)*c\/6. Sort -0.3, q, -0.4.\nAnswer: q, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 290552 and -1458.\nAnswer: -423624816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1236*w + 799. Give h(3).\nAnswer: -2909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2, 0.073, 117?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = 462. Let o = l + -116. Let v = o + -80. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10028 and 3161.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (14 - 10) - -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*11\/(462\/28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efc when three letters picked without replacement from {i: 1, c: 7, f: 1, e: 8}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.1, 485 in increasing order.\nAnswer: 0.1, 1\/2, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45404128 take away -5?\nAnswer: -45404123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(272) + sqrt(272)*2) - sqrt(272))*5 + -2 + sqrt(272) + (sqrt(272) - (sqrt(272) + sqrt(272) + (sqrt(272) - sqrt(272)*-1*-6))**2) + 5.\nAnswer: -2449 - 312*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -1699083896.82727?\nAnswer: 1699083896.92727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193939, 193947, 193955, 193963?\nAnswer: 193971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37 = -2. Suppose 2*f - w*f + 195 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6*x - 2*x + 2, 5*f - 5*x = -5. Let q be 1\/f*1 - -5. Suppose 0*k - k - q*t + 49 = 0, 0 = -4*k + 4*t + 136. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -47, 0, 692934, 3 in increasing order.\nAnswer: -47, 0, 2, 3, 692934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13398 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/28 - 7\/4. Let p(o) = 3*o + 27. Let z be p(-8). Let y be (1\/4)\/(-1)*-1. What is the closest to 1 in z, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63197, -126395, -189593, -252791, -315989?\nAnswer: -379187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*a - 292, 28*a + 730 = 5*x + 32*a. Is x less than 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2705 - 2707. Let t(p) = -p + 1. Calculate t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2 + 168*f - 1780 = 0?\nAnswer: -178, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 5 (c) 1 (d) -3155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j + 6. Let r be u(6). Suppose 0 = 9*c - r*c - 6. Solve -2 = -2*i, -c*n - 2*i - 3 = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -620*k + 5*k**4 + 620*k + 538*k**3 - 3*k**4 + 5*k**2 - 4 + 3 to the form q*k**4 + t*k**2 + o*k**3 + b*k + z and give o.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -96 - (14 - -35)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -811.09 smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24573192 and -53\/6143298?\nAnswer: 24573192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1908 and 9?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*b - 5*u, -4*b + 0*b - 5*u + 116 = 0. Suppose 0 = b*o - 19*o - 405. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)\/(sqrt(5) - sqrt(720)\/sqrt(9)))**2 + 2 + sqrt(19) + sqrt(304) + 4 + sqrt(19) + sqrt(19))*1.\nAnswer: 73\/9 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -7*r**4\/12 - 22*r**2. Let n be f(-7). Is 32 a factor of ((-6)\/(-3) + 1)\/(2\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:40 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 80, 240, 502?\n\"Answer: 51*z**2 - 95*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 - 2. Let c = 127 + -83. Let z(h) = -17*h**2 - c*h + 44*h + 21*h**2. What is a(z(d))?\nAnswer: -128*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5)*702\/(-12)*-10. Let v = h + 85. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24707 times -6.9?\nAnswer: -1.704783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 9 - 581. Let j be u\/8 + 2\/(-8). Let a = j + 14. Is 1\/14 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**5\/20 + k**3\/12 + 4. Factor n(y).\nAnswer: -y**2*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219.78 - 218. Let k = b + -96.78. Let u = 93 + k. Is -2 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -486*t**3 + 2592*t**2 - 4608*t + 8192\/3 = 0. What is t?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 483 - 525 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let p(a) = -19070134*a. Calculate u(p(w)).\nAnswer: -363670010777956*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 8\/17 (b) 1\/11 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/84)\/(21\/12 - 2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/1*(-1 - -6). Let p be s\/(-21) + 2\/(-3). Suppose -j + 15 = -p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99400, -95079, -83354, -60523, -22884, 33265?\nAnswer: 111626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + 6*u**2 - u + 6. Let i(o) = -19*o**3 + 22*o**2 - 4*o + 24. Let p(v) = -6*i(v) + 23*q(v). Factor p(j).\nAnswer: -(j - 6)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027765?\nAnswer: 3, 5, 13, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((0 + -1)*2). Solve s*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/4 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3803 - -3803. Let u(h) be the first derivative of -11\/4*h**4 + 7\/2*h**2 + 0*h**3 + 9 + l*h. Find the second derivative of u(z) wrt z.\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 - 4*m**2 + 3*m + 1. Let v be a(3). Suppose 0 = 2*i - v - 45. Suppose -q + i = 4*q. What is the remainder when 17 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59046 - -1102920236\/18679. Is 0 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380960 is divided by 6798?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2078 - 2073. Let c be 2*(-2 + (-22)\/(-10)). What is the third smallest value in c, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-72) - (-3 + 343\/(-6)). Is h <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7765\/13 + -597. Let 4\/13 + w*u**4 - 8\/13*u**2 - 6\/13*u + 6\/13*u**3 = 0. Calculate u.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 7*t = -p - 26, 2*t - 14 = p. What is the second biggest value in p, -5, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79791.86 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2097? (a) 0 (b) 2\/15 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406342862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-17)\/(-3))\/((-2)\/6). Let w(k) = 11*k**2 - 6*k - 23. Let r(i) = 2*i + 4*i**2 + 0*i**2 + 8 - 10*i**2 + 2*i**2. Determine n*r(b) - 6*w(b).\nAnswer: 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3343*g + 602. Let d(x) = 1661*x - 301. Let i(o) = -3*c(o) - 5*d(o). Find the first derivative of i(a) wrt a.\nAnswer: 1724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 4624 = -4574 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28762722 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12044, -12039, -12032, -12023, -12012?\nAnswer: -11999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 + 20*f**3\/3 - 200*f**2 + 607*f. Factor p(w).\nAnswer: -(w - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:52 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-12))\/u**9*(u**(-7)*u)\/(u\/(u\/u**18*u*u)) assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-14) + (-2)\/7. Let b(z) = 5*z**2 + 4*z + 3. Let u(y) = -5*y**2 - 3*y - 2. Let h(v) = i*u(v) + 2*b(v). What is h(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/4)*k*k**(-1\/4)*k)\/((k**(-1)*k)\/k)**39)**(-40))**(6\/19) assuming k is positive.\nAnswer: k**(-9720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 7 - 1 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -145 (b) -110 (c) 0.01 (d) 6 (e) 0 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 711 - 624. Calculate the remainder when 545 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 4}. What is prob of sequence fxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 10*u + 7. Determine z(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - (-237 + 12) - 0\/((-8)\/(-4)). Solve -30 = 242*k - y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - -32 - 48) + 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 7, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/9 - 47*i**3\/3 - 97*i**2 - 147*i.\nAnswer: i*(i - 147)*(i + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*k + 78*k - 49*k + 72 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -16*b**2 + 9*b**4 - 32*b**3 + 6*b**5 - 10*b**5 - 29*b**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5 = -w. Let z be (-2)\/(-3) - 4*(-301)\/84. What is the highest common factor of z and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -69. Let l = 13.5 + -5. Let u = l - g. What is the nearest to -3\/2 in 5, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 51 = -102. Let l = b - -88. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**2 - 2*j + 1. Let t be i(1). Let n = 16 - t. Let q = -3409 - -3415. Solve -3*b = -n - q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 63*u - 506. Let n be r(-10). Is n < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 12*w - 10. Give g(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 38, 131, 312, 611, 1058, 1683, 2516?\n\"Answer: 5*z**3 - z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-3) - (-4 - -6))*2. Let n be (3\/3 - 0) + s. Suppose -2*d + p = 7, -n*d - d - p = -1. Let f(x) = -23*x**3 + x. Determine f(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1350\/(-243))\/(-5)*18\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1183984203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xna when three letters picked without replacement from xnxxaxaaxaxaax?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 12*s + 36293. Is w(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let m = -10 - -11. Let t(o) = -47*o - m + 1 + 45*o. Give t(z(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20246, 20243, 20240?\n\"Answer: -3*b + 20249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + d - 4. Let j be l(-6). Suppose -2*c = -0*c - j. Suppose 34*q = c*q + 42. Calculate the greatest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + 13*k - 294. Suppose c - k = -0*t - 3*t, -c - t + 10 = 0. Solve 3 = c*s - 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 + -2221021021?\nAnswer: -2221101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -3\/7 (c) -5 (d) -0.1 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5321 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/p**(2\/3))\/p))\/p**(10\/9)*p**(1\/35)*p*p*p**15)**(-1\/76) assuming p is positive.\nAnswer: p**(-1306\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 6. Let q = -14.5 - o. Which is the nearest to 1\/4? (a) -0.3 (b) -3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*f**2 + 2032*f - 357470*f**3 + 357470*f**3 - 768*f + f**5 wrt f.\nAnswer: 20*f**3 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499 + -497. Suppose 3 = -4*n + 5*n. Which is the closest to -0.1? (a) t (b) -0.7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**3\/6 + 16*u**2 - 5*u. What is the units digit of k(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-80)\/600). Suppose 8*u - 6*u + 5*q + 4 = 0, 2*u - g*q = 16. Solve -u*p - 16 = -31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -157. Suppose -3*h + 27 = 5*o, -4 = -4*h - 8. What is the smallest common multiple of o and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298096 divided by 8?\nAnswer: -37262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*j = -14343 - 2037 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -102122?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 1299896 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4 and 39*1\/(-8) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**2 + 7*f - 7. Let p(u) = 10*u**2 - 6*u + 6. Calculate -6*l(g) - 7*p(g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -1158336677?\nAnswer: 1158336672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(((p\/p**(-20))\/p*p)\/p)\/p)\/p)**(-44) assuming p is positive.\nAnswer: p**(-836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.204 times -13?\nAnswer: 2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110011 (base 2) in base 11?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -576 - -573. Let i(c) be the first derivative of 219*c**2\/2 + 27*c - 2. Let b be i(u). What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -560, -1114, -1668, -2222, -2776?\n\"Answer: -554*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (sqrt(468)*2 + 0) - ((sqrt(468) - (sqrt(468) + 1) - sqrt(468)) + 3))**2 - (sqrt(468) - (sqrt(468) + 2 + (sqrt(468) - sqrt(468)*-2)))*5.\nAnswer: 14 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 852, 850, 848, 846?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c + 2*c. Suppose j = -4*n - 47, -5*n + 47 = -j - c*n. Let y = 56 + j. Solve 3 = 4*o - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 10. Let i be 3 + -1 + 1 - w. Solve 3*u = -h + 1 + i, -h + 4*u = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8966, -18068, -27328, -36824, -46634?\n\"Answer: -13*r**3 - r**2 - 9008*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 614?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*v - 4195 = -475*v - 22456 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/7 + (-220)\/(-70)*227. Calculate the highest common factor of y and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (20 - 17) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.89911614653 less than -0.28?\nAnswer: -21.17911614653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6737 - -10726. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 874 and 583832?\nAnswer: 583832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.715 - 0.285. Let s = f + 114. Let h(k) = k**3 + 8*k**2 - 5. Let d be h(-8). Which is the closest to 0.1? (a) 0.1 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 - 932 = -113*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17438.\nAnswer: 2, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5*-2*sqrt(13))**2 - (sqrt(26)\/sqrt(98))**2) + 2.\nAnswer: 63981\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1*-3 + sqrt(153) + (sqrt(153) - -3*-2*sqrt(153)))*4)\/((-6*(sqrt(72) + sqrt(72)*1))\/(sqrt(512) + 1*sqrt(512))).\nAnswer: 112*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -2346?\nAnswer: -2345.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/3, -7, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3)\/((-3)\/(-12)). Solve -5*j + i + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 233*w**3 - 2746*w + 12. Let b(g) = -234*g**3 + 2744*g - 15. Let l(c) = -4*b(c) - 5*t(c). What is the second derivative of l(x) wrt x?\nAnswer: -1374*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 19, 71 in decreasing order.\nAnswer: 121, 71, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 4. Let d(i) = -3*i + 3. Let l(b) = -b**3 + 2*b**2 + 3. Let x be l(3). Let m(z) = x*d(z) - 5*k(z). Determine m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4951921 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3694 + 5471. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f + 30. Let k be o(4). Let -6 - k*v + 9*v**2 + 19*v**4 - 3*v**3 - 22*v**4 + 5*v = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 2. Let s be q(1). Let b(w) = -3*w**2 + 3 + 1 - s. Let f(g) = 5*g. Calculate b(f(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 2*s + 3. Let x be f(-2). Suppose 0 = -3*c - 6 + x. What is the third derivative of 0*b**2 - 3*b**2 + 4*b**c + b**3 - b**2 wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -26 - (-1 - -1)) + -345 + 337\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299585 and 1257?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 96 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(700) + sqrt(700))*4*-2*1 + 3)**2 + -4.\nAnswer: 2880*sqrt(7) + 1612805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 1\/3*w**3 + 0*w - 3 + 0*w**2. Let h(y) = -9*y**2. What is u(h(g))?\nAnswer: 81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 36*q - 1890 = 60*q - 438 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 736.8615?\nAnswer: -3684.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**8\/16 + o**4\/8 + 10*o**2 + 4*o. Let v(n) be the first derivative of s(n). Find the second derivative of v(r) wrt r.\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 9, -254 in decreasing order.\nAnswer: 9, 2, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 8.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.5, 0.042, 0.1, -1?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*k + 300*k - 537. Suppose 0 = -c - 5*o + 22, 0 = -6*c + 2*c + 4*o - 8. Suppose -c + 17 = 3*b. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 80*h - 66*h. Suppose 2*d + y - 746 = 561, h*y = -2. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -882, -1768, -2654, -3540, -4426, -5312?\n\"Answer: -886*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8550 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696483631 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2181 and 5205.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -423414.2738 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22453 is divided by 197.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q\/(q*q\/(q*q*(q*q**(-1)*q)\/q*q))))**34*q**(2\/11)\/(q*q*(q**(2\/15)*q)\/q*q)*((q*q**(2\/5))\/q**(-1\/4))**(10\/7) assuming q is positive.\nAnswer: q**(-79913\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -41 - 148. What is the second biggest value in r, -5, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 740263 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113841 and 55461.\nAnswer: 2162979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 441424?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 852188 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -90, -31756, 8 in descending order.\nAnswer: 8, -2, -90, -31756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 14) in base 9?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g - 1. Let b = -113 - -110. Let v(y) = 6*y**2 + y. Let a(n) = 17*n**2 + 2*n - 1. Let o(d) = -4*a(d) + 11*v(d). Determine b*j(c) - o(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:12 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/8 (b) 0.05 (c) 0.07 (d) -0.2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 2\/17, -0.5, 91, 0.07?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -2*w. Suppose w*t + 40 = 128. What is the common denominator of (1 - 26\/8)*t and 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247456197 by -369.\nAnswer: -670613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.099 - 96.099. Let b = m - -96.00212. What is b rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 19*x**2 - 19*x + 22. Let w be j(-20). Let u = -992\/7 - -142. Let i be (-4)\/(-10) + 51\/(-15). Which is the nearest to u? (a) 3\/4 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 145 = y. Put 5, -5, y in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 2 u when four letters picked without replacement from uxvbiuixvxizix.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, 1, 4\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, -92970, -4.\nAnswer: -92970, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/15 + 2*a**5\/15 - a**4\/30 - 2*a**3\/9 - 2*a**2\/15 + 12. Suppose y(f) = 0. What is f?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211321793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 89*x**2.\nAnswer: -89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((3\/9)\/(-1)). Calculate the greatest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77917267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k - 1. Let u be a(5). Let q = u + 143. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = -10. Is 32 - (-2 + (-9)\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451461 and 10614.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 - 1056\/(-108). Let r be 78\/15 - (20\/(-25))\/(-4). Let k(v) = r*v + 0*v + 2 + j*v - 6*v. Calculate k(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 26*n + 4*n - 864 = 0. Suppose 3*w - 11 + 2 = 0, -2*c = 2*w + 2. Put 1, c, 0, n in descending order.\nAnswer: n, 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*m - 1 + 2 - 10.\nAnswer: 200*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 473?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 33. Suppose 3*q - 4*w - 1207 = 285, 5*q - 2456 = -w. Calculate the least common multiple of (0 - -1)\/t*q\/(-6) and 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 999.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-21)*33\/22. Let w = 0.491 - -0.009. Sort b, w, -1.\nAnswer: -1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 290112140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 289.2*4\nAnswer: 1156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(9) + 4 - ((sqrt(9) + sqrt(9)*4)\/sqrt(3))**2.\nAnswer: -71 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -31 - (229 + -155 + -44)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**2\/11 - 972*a\/11 - 33600\/11 = 0.\nAnswer: -112, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1000011100100011 (base 2) to base 10\nAnswer: 34595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 25922332.\nAnswer: 51844664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 19*c**2 - 2*c + 21. Calculate r(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*c - 24 = 0, 3*m + 5*c - 6*c - 8 = 0. Suppose -m*l - 3*g - 2 = 0, -4 + 0 = 2*g. What is the biggest value in l, -32, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 2.6446\nAnswer: -10.5784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 14*n - 25. Let f be (-8)\/100*n*5. Suppose -f*t + 9 = -t. Calculate the greatest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*n = -458 - 886 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*f**5*z**2 + 2*f**3*z**3 + 250*f*z**3 - 5*f*z wrt f.\nAnswer: -4000*f**3*z**2 + 12*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000104 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4 + 7*l**3 - 3*l + 6*l + l**2 + 2*l**2. Let a(p) = -15*p**3 - 7*p**2 - 7*p + 8. Let o(u) = -6*a(u) - 13*z(u). Let n = -450 + 454. What is o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = f + 878, l = -5*f + f + 457. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -6. Is (3\/(-4))\/(v\/24) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6042 (base 8) to base 2\nAnswer: -110000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169084 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {r: 7, o: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98524788.\nAnswer: 2, 3, 8210399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-2 + 1*sqrt(605)).\nAnswer: -220*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 a, and 1 b when four letters picked without replacement from {b: 6, a: 6, h: 4, d: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {u: 1, o: 3, c: 5, g: 1, i: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 7:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 36*i**3 - 153*i**2 + 264*i - 144.\nAnswer: -3*(i - 4)**2*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 196, 202, 208, 214?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89 + 416486?\nAnswer: 416564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 + g**3\/3 - g**2\/2 + 3*g - 1. Let s be d(0). Solve -s*x = -0*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 10. Let a(c) = -103*c - 97. Give a(k) - 6*f(k).\nAnswer: -91*k - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:20 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 394281127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 40*x + 210 + 4*x**2 - 2*x**3 - 60 - 92 - 55 to the form q + n*x**4 + p*x**3 + g*x**2 + j*x and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**4 + 9*a**4 + 8*a**4)*(-a + 3 - 3) + a**5 + a**5 + 2*a**3 + 0*a**3.\nAnswer: -21*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o - 44*o + 2 = 2*b - 86*o, -o = 2*b - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448 - 20?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and 2067086681?\nAnswer: 2067086681.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {c: 1, s: 3, q: 11, w: 5}?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:15 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/14*245\/70. Let -2*q**x + 28*q**2 + 3*q**3 + 5*q**3 - 10*q**3 = 0. Calculate q.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:14 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11016, -10298, -9192, -7698, -5816?\n\"Answer: 194*r**2 + 136*r - 11346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 83. Which is the biggest value? (a) 3 (b) 0.7 (c) 1\/2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217.68 + 217. Let n = w - -0.6799495. What is n rounded to 6 dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666787867 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4 + 28*w**3\/3 + 20*w**2 + 216. Factor c(g).\nAnswer: 4*g*(g + 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**2 + 13*f**3 - 13*f**2)*(0*f - f**2 + 0*f + (-2*f + 2*f + 2*f)*(-f + 4*f - f) + 4*f**2 + 0*f**2 - 3*f**2 - f**2 + 2*f**2 + 0*f**2 - f**2 + 5 - 5).\nAnswer: 52*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*10\/6*1098\/305. Suppose -5*v + 140 = 3*m, -3*v + 77 = 4*m - 7. What is the highest common factor of z and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 469 - 469 + 59*q + (-5 + 0 + 3)*(2*q + 2*q - 3*q).\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8829 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + 0 - (84 - -206 - 338)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -3.437 (c) -9568 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -557052 plus -12938433?\nAnswer: -13495485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let j = 12 - 7. Find the second derivative of -3*l**j + f*l**5 - 3*l**5 + 2*l wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 4 - (167 + -1). Let s = f + 181. Solve -6*b = -3*b - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y + 201 = 36*y - 734 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757103471 - 757103463 + 2271310399 + 3*y - 757103465.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976047 - -3.54?\nAnswer: -1976043.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23900813 + 69880.\nAnswer: 23970693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/2 - (3 + -2). Let r(j) = 3*j + 5*j**2 + 6 - 1 - 3 + 7*j - 4*j + j**3. Calculate r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 5. Let f(s) = -9*s**2 + 24. Let t(z) = -5*f(z) - 24*n(z). Let v(j) = 1. Let c(d) = -2*d + 1. Let a(h) = c(h) - v(h). Give t(a(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -4414?\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1530)\/(-315) - (-6)\/(-7). Let r be 4\/(-6) + 1002\/18. Suppose -3*m + 3*c + r = -2, 5*m = c + 87. Solve f + m = 6*f + b*y, 2*f - 3*y = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 22*d - 7 + 5 + 2.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, w: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53981 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.12 - -0.58. Let z = h - 13.7. Let x = -4.6 - z. Round x to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 15*j + 13. Let f = 33 + -39. Let o(y) = y**2 + 7*y + 6. Give f*p(t) + 13*o(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:28 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*i - 107*i = -2196 - 552 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-14 + (24 - 16) - -4) + 52).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 1, u: 2, h: 1, e: 6}. Give prob of sequence hded.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243\/((-1603800)\/240)*(-5)\/(-4).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186, 800, 1830, 3276, 5138?\n\"Answer: 208*x**2 - 10*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735913.\nAnswer: 17, 73, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1038, -0.2, -676?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20052 greater than or equal to -20061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 393, 1355, 3233, 6333, 10961?\nAnswer: 17423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:34 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 437 + -436.987. What is the third biggest value in -2, -2\/7, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -82*h + 663. Let w be b(8). Solve w - 8 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 28. What is the remainder when r(-12) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -600\/13. Let o = -0.4 - -1. Let b = o - 0.7. Put -2\/13, n, b in ascending order.\nAnswer: -2\/13, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4 - 4*y**2 - 16*y + 55*y - 22*y + 2*y**2 - 16*y. Calculate f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 6\/31, 14\/3 in descending order.\nAnswer: 14\/3, 4, 6\/31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - -1 - (5 + -4). Let n(h) = h**2 - 8*h + 3. Does 23 divide n(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 + 15*c + 5. Determine v(-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*s + 3*s. Calculate the remainder when s is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 438*f**3 + f**2 - 2*f - 2. Let a be k(-1). Let w = a + 732. Suppose -6*y = -y - w. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2164*v**3 + 1082*v**2 - 541*v - 2164. Let n(i) = i**3 + 2*i**2 - i - 4. What is -d(m) + 541*n(m)?\nAnswer: -1623*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**18*x)\/x*x)\/x**18 assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 3*n - 4*n)*(-3 + 4 + 2) + 2*n + 2 - 2 + (-1 + 4 - 2)*(-4*n + 4*n - n) + n - n + n - n + 2*n - 2*n as g + s*n and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69801918 rounded to the nearest ten thousand?\nAnswer: -69800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, 1 in increasing order.\nAnswer: -42, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98604.2 millimeters in micrometers?\nAnswer: 98604200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072241 rounded to 3 dps?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 - -371. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115573, -231148, -346723, -462298?\n\"Answer: -115575*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z**4)\/((z**1\/z)\/(z*z**6*z*z*z))*z**2*z**(4\/3)*(z**1)**18 assuming z is positive.\nAnswer: z**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97559000 rounded to the nearest 100000?\nAnswer: 97600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5754.51794 to the nearest integer.\nAnswer: -5755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5262197 centuries to decades.\nAnswer: 5.262197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -460*o + 12098. Determine a(27).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmammmmmmmmamamaamm?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 16. Suppose -5*g - y = -c - 11, -3*g + 2*y = -6. Suppose g*s + 74 = -4*v + 6*v, 2*v - 54 = -s. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1444370 divided by -288874\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 2*w, w = 2*g - 0*w + 2. Let d be 1\/(114\/111 + g). Suppose 5*l + 2*t = d, 2*t = -3*l + 5 + 14. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -6. Calculate the least common multiple of 8 and g.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 4 = 7*s. Calculate the remainder when 95 is divided by s\/((-196)\/96 + 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119634641 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (2 + 10 - (-53 + 58) - 18)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-18)\/(-32)) + (-16)\/(-24). Let y(w) = 37*w**2 + 6*w - 7. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/56*-30*(-17)\/765\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14051, 56209, 126473, 224843, 351319, 505901, 688589?\n\"Answer: 14053*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehhh when four letters picked without replacement from {h: 4, e: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 0 + -16 + 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1668 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 + 2*n**2 + 0*n**6 - 18*n**6 wrt n.\nAnswer: -2160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*y - 9 - 13 = 0, 2*y = 2. Solve 2*a - 11 = -i, -4*a - 6*i + n = -9*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 110 = 2*i, 0 = -2*i - 0*i + 4. Let h = x - -92. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(32\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 64 - 1370 = 917 - 309 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1543978023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68726, -68226, -67724, -67220, -66714, -66206, -65696?\nAnswer: -65184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -871, -1813, -3075, -4645, -6511?\nAnswer: -8661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1)\/(2\/4). Suppose -20 = -s - v*s. Suppose -s*c = 3*n - c + 9, 16 = -4*c. Let z(f) = 9*f - 1. What is z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*c + 153 - 29, 4*h = -36*c + 10*c + 24*c + 162 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/6*p**3 - 9*p**2 + 1\/6*p**4 + 0*p + 1\/30*p**5 + 0. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3510\/(-126) + 1\/(-7). Is h greater than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-5)\/(-2))\/((-2)\/(-18)*15). Solve s*h = -4*k + 23, 20 = 7*h - 3*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-37 - -2) - (-175 - -160).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3825, -4 in decreasing order.\nAnswer: 3825, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d**(1\/8)))\/d*d*d))\/d**(2\/23))**29\/(d**(-2)\/d**(-3\/5))**(-5\/11) assuming d is positive.\nAnswer: d**(945\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5175*i = -5225*i - 2*l - 266, 50 = -2*i - 5*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - -236. Let h = n + -233. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14137, -28267, -42397, -56527, -70657?\nAnswer: -84787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 14*d - 3471. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42 and -0.0669.\nAnswer: -2.8098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, w: 3}. Give prob of sequence xxxw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84761795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22258 - ((-4)\/4 + -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*14\/9*3*(110\/(-60))\/(-11)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from {v: 1, m: 1, b: 2, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 - 26168*m - 42797764 = 0.\nAnswer: -3271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:12 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 9\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**3 - 3*a**2)*(4*a - 4*a + 4*a)*(-4*a - a + 3*a).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1, -0.28, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - u)*(u - u - u**2) - u - 2*u**3 + u + (-7*u**3 + 2*u**3 + 0*u**3)*(12 + 30 - 5) to l*u**3 + m*u + i + c*u**2 and give l.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.6 + -75.43. Put 0.5, 4, a in ascending order.\nAnswer: a, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:30 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906757 is divided by 114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 73 (b) 2\/7 (c) 0.5 (d) 0.3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**5*u - 4898*p**3*u - 13*p**2*u - 2*p**2 + 8*p*u - 148*u wrt p?\nAnswer: -180*p**2*u - 29388*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 121*f + 120*f - 47)*(0*f - f + 2*f) to the form k*f + p + g*f**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(1*sqrt(5)) - (2*sqrt(70))\/sqrt(10)) + sqrt(42)\/(sqrt(12)\/sqrt(2)) + (sqrt(21)\/sqrt(3))**2*-5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 1, -35\/17, -16\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 1479854.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Let y(d) = 5*d - 2*d - 4*d**2 - 4*d - 3 + 0*d - d**r. Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6. Let n(c) be the third derivative of 2417*c**6\/60 - c**4\/24 + c**3\/3 + 81*c**2. Is n(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose a - 3 + 0 = q. Let k(x) = -4*x - 1. Let c(w) = -w. Give a*c(y) - k(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w - 1333. Let i(m) = -13*m - 888. Calculate -7*i(q) + 5*x(q).\nAnswer: 6*q - 449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 7*g**2 - 3*g**2 - 140 - 2*g**2 in the form k*g + y + p*g**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 7. Let a be i(-6). Let m = -40 - -43. Suppose -2*g = 2*c - 20, g + m*g = -5*c + 47. Sort c, a, 3, -3 in descending order.\nAnswer: c, 3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (7 - 17) - (3 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -49*n**3 - 3588*n**2 - 788*n + 1113. Give k(-73).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0257, 35\/8, 7\/6?\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2828 (base 10) to base 11.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797240?\nAnswer: 2, 5, 19, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*8\/282*129\/172.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-7))\/(10\/245). Suppose 9*d = p*d + 15. What are the prime factors of 4*4*d\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7457*m**3 - 7450*m**3 - 7267*m**3 - 7446*m**3 + 29649*m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 + 3 = 0. Let o = 23 - q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 4*m - 4*m + 8 + 4*m to the form q + v*m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288474315*c**2 - 1454*c + 82023 wrt c.\nAnswer: -576948630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162638249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2208460.909 and -0.01.\nAnswer: -2208460.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*r**3 - 303*r**3 - 46*r**3)*(-3 + 1 + 1).\nAnswer: 265*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 1. Let h(o) = o**2 + 5*o - 32. Calculate the lowest common multiple of (-116)\/z + (-28)\/(-42) and h(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 880 and 1496?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5923\/3 - 1974. Factor -2\/3*m**3 - 2\/3*m**4 + l*m**2 - 1\/6*m**5 + 1\/3 + 5\/6*m.\nAnswer: -(m - 1)*(m + 1)**3*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 5. Let l be (-12)\/60 - (-1 + (-59)\/(-5)). Let k = -26 - l. What is the tens digit of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**4 + 12558446*l**3 + 294301*l**2 - 61*l + 4.\nAnswer: 120*l + 75350676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/21 and -127\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2))\/(3\/(-6)). Let t be (3\/w)\/(((-4)\/(-5))\/(-2)). Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.3, -1\/6, 0.036, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 3*s**2 + 3*s**2 - 2*s**2. Let p(u) be the second derivative of u**4\/12 - 9*u**2 - 2*u + 33. Calculate l(p(h)).\nAnswer: 3*h**4 - 108*h**2 + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1154, -1156, -1158?\n\"Answer: -2*w - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4)*2196\/1647)\/((-2)\/(-9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36044839 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (600017841 - 40\/10) + -2. Suppose 662282165 = 26*v - q. What is v rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 1. Let y = 3750 - 3752. Let a(o) = -4*o - 25. Calculate y*h(l) - a(l).\nAnswer: -2*l**2 + 2*l + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**41\/j)\/(j*j**(-3\/14)) assuming j is positive.\nAnswer: j**(549\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288820 is divided by 2763?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 + 8*c + 18. Let r be s(-7). Solve -r = -5*h + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 14. Let z(p) = -2*p + 5. Let k(j) = 2*q(j) + 7*z(j). Let l be k(4). Let u(r) = -221*r**3 - r**2 - 3*r - 2. What is the units digit of u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707654?\nAnswer: 2, 67, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - 4.7. Let f = 4 + -8. Let c = d - f. Put -1, -3\/7, c in decreasing order.\nAnswer: -3\/7, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 29547970?\nAnswer: -29547967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r - 2. Let g(f) = 539*f + 121. Let z(p) = 4*g(p) + 242*w(p). Let v = -82 - -88. Let s(y) = y**2 + 7 - v - 1. What is s(z(d))?\nAnswer: 484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 888 + j - 854.\nAnswer: j - 1630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 14. Let b be s(5). Let q = 100 - 28. What is the highest common divisor of b and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2\/11 (c) 9 (d) 16 (e) -3 (f) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 1 - 11 - -23) + (-39 - 2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 0*t + (5 - 2 - 1)*(0*t + t + t) - 2*t + t - 3*t)*(-9*t + 5*t + 7*t) - t + 0*t**2 + 2*t**2 - 5*t**2.\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) 5 (c) -0.1 (d) -1\/220369 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/8760 and -35\/6?\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 0.2.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-9)\/(54\/(-20)). What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/24*((-10824)\/99)\/82\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * 18886.\nAnswer: -396606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 12:10 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1. Let r(v) = -7*v. Let t(x) = -m(x) + r(x). Let j(f) = f**2 - 7*f - 1. Let g be j(7). Determine t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 - b**4\/24 + b**3\/6 + 6*b**2. Suppose 9*d - 40 = -4. Calculate m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21766)\/163245)\/((2\/1560)\/(-1)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -76. What is the first derivative of 15*p**3 - 28*p**3 - 23 + 13*p**3 + 7*p**o wrt p?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60986866 to the power of 1\/2, to the nearest integer?\nAnswer: 7809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - sqrt(125)*-3*-3 - ((sqrt(125) - (-3 + sqrt(125) + sqrt(125)*-2)) + sqrt(125)) - 1*(3 + -4*-2*sqrt(125))) + 1)**2.\nAnswer: 950*sqrt(5) + 45150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 8*p - 12)*(0 + 0 + 2)*(-1 + 0 + 3).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 102\/27 + 6\/27. Let o(h) = -h**3 + q - 11 - 8 + 12*h**2 - 9*h. Let d be o(11). Solve -5*x + 3 + d = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5981 (b) -0.2 (c) 2\/9 (d) 0.3 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 3*u**2 - 4*u**2)*(2*u - 2*u - 2*u**3) + 0*u**4 + 46*u**5 - 40*u**5 - 3*u**4.\nAnswer: 8*u**5 - 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-17)*(1 + -17 - -1). What is the remainder when 67 is divided by (-1*18\/h)\/((-4)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 74, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 + i**4\/2 - i**3\/2 + 5*i**2. Let l be m(13). Is ((-196)\/l)\/((-3)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796451 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**3 + 2*p**2 - 2*p. Let w = -247 + 252. Let a(c) = 26*c**3 - 6*c**2 + 6*c. What is w*a(d) + 14*m(d)?\nAnswer: 4*d**3 - 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -11 + 496. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.6444 litres in millilitres?\nAnswer: 944644.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1484.\nAnswer: 3\/1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -21. Let w(n) = 158 - 152 + 4*n - 2*n. Let q(f) = f + 2. What is t*q(j) + 3*w(j)?\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 - u**5\/30 + u**4\/24 + u**3\/3 + 69*u**2. Factor m(c).\nAnswer: -(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.87716 millimeters in micrometers?\nAnswer: 55877.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 7*j + 4*j)*(3*j + 16*j**4 - 20*j**4 - j).\nAnswer: -20*j**5 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Suppose f*x = -2*x + 150. Suppose -2*k + q + x = 1, 4*k = -5*q + 65. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -520a35 (base 11) to base 13.\nAnswer: -233562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 64.1, 1\/6, 2\/177, -195 in increasing order.\nAnswer: -195, 2\/177, 1\/6, 64.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 75. Solve r + 2*r = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 821572 and 2103.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(44)\/sqrt(4) + sqrt(11))**2 - ((-2*(1 + sqrt(11) - sqrt(11)))**2 - (sqrt(1331) + -1)**2).\nAnswer: -6*sqrt(11) + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*j - 4724 = 2*j, -4 = -2*j. Suppose -3*m + 4*c = -c - u, -4*c = -5*m + 3939. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 2, -3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/16 and 23\/584042.\nAnswer: 4672336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y + 24. Let z(i) = i - 4*i + y*i. Let f(a) be the third derivative of -a**5\/20 + 17*a**2. Calculate f(z(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.64 - -0.04. Let w = -1 - k. Put -3, w, 1\/2 in descending order.\nAnswer: 1\/2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-264)\/165*(-5)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 40*q + 14953. Is n(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and -325?\nAnswer: 812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(-18 - 2). Suppose x + 2*x - g = 0. Calculate the remainder when 18 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 2*r - 26, -123*k = -125*k - 2*r + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85783 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 7) to base 11\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -20100?\nAnswer: -20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, m: 9}. What is prob of sequence mm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 456*c + 351*c - 660*c + (c + 3*c - 6*c)*(11 - 14 + 10).\nAnswer: 133*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*p**5 - 1744*p**4 - 3126*p**3 + 1880*p**2 - 248*p = 0. What is p?\nAnswer: -2, 0, 1\/4, 62\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133369*n**2 + 157548*n wrt n.\nAnswer: -266738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 19. Let k = l - -29. Let c(y) = -14*y - 17. Let d(g) = 2. Let n(r) = c(r) + 3*d(r). Let m(s) = 5*s + 4. Calculate k*m(j) - 6*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-3\/4)\/t)*t))\/((t*t*t\/((t**(-1\/4)\/t)\/t))\/t))\/(t\/t**(-6)*(t*t\/(t**(3\/7)\/t))\/t)*(t\/((t**(-1\/2)*t)\/t)*t*t**7)**47 assuming t is positive.\nAnswer: t**(6033\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 54*m + 15. Let l(x) = 2*x - 1. Let c(k) = 18*l(k) - r(k). List the prime factors of c(-14).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + -3 + (-1 + sqrt(112) - sqrt(112)) + 5*(sqrt(112) + -2 + sqrt(112) + 0))*-6)**2.\nAnswer: -829440*sqrt(7) + 6637824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 142\/(-8)*(4 - 8). Suppose q = x + 4*s - s, -x + 3*s + 101 = 0. What is the remainder when x is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306254 smaller than 0.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from hhjjhiiih.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -996\/2346497?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148764 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q + 91. Let w be v(10). Let p be (2 + -2)*(-2)\/(-2). Solve -4*c + 21 = -y, -c - c + y + w = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i - 60. Let x be 11\/3 + 8\/i. Suppose -x*w - w + 32 = 0. Solve 3*p = -6, -5*p - 3 - w = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 17. Suppose 28*v - 26*v + t = 0. Let w be (-3 - v) + 2 + -2 + 23. Solve -2*x + w = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/60 + (-4)\/10. Sort s, -2, -0.2.\nAnswer: -2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -199\/4505634?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111.8*-0.062.\nAnswer: 6.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/24)\/((-558)\/(-54) - 10). Let m be 17\/6 + (-18)\/6. Which is the closest to 0? (a) m (b) 14 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1059 and 299697.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 13*y**2 - 16*y + 205. Let n be c(13). Let o(z) = z**2 - z - 1. Let x(b) = 10*b**2 - 8*b - 8. What is n*x(g) + 24*o(g)?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-3) - 256\/(-36) and -33\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 388, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 894865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/14 > 73382\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*5\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 0*f**3 - 8*f**3 + 0.\nAnswer: -8*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -0.01 (c) 2 (d) -0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3.6, 0, 3.\nAnswer: 0, 3, 3.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4) + (-2067)\/(-858). Let y = -2.5 - -3.5. Which is the closest to y? (a) d (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 16. Let h be a(15). Let j be (0\/13)\/(-3 + 4 + -3). Put j, 26, 3, h in decreasing order.\nAnswer: 26, 3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 43. Let x = -660 - -455. Let w = x + 179. Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -47 (b) 0 (c) -11 (d) -0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/30 + 31\/(-6). Let s = 6 + -5. Which is the nearest to s? (a) 3 (b) p (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, 1 e, and 1 j when four letters picked without replacement from barje.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 20 - 5. What is the tens digit of 4 + -4 + 1 - (-456)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9677, 17659, 25641?\nAnswer: 33623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 9*s. Let c(x) = -33*x**2 + 99*x. Let w(t) = -11*a(t) - c(t). Let z(r) = 25*r**2. Calculate w(z(q)).\nAnswer: 6875*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50860.296 milliseconds in hours?\nAnswer: 0.01412786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from njzrnzjnnznj?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 - d + 18. What is the remainder when 71 is divided by l(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by -13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 plus -0.2?\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58221675 minus -7.2374?\nAnswer: 6.65518325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 129*g**2 - 299*g - 65. What are the prime factors of p(-10)?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + 52\/(-18). Let z = -193120 + 193119. What is the closest to m in z, 0, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/20 + v**4\/24 - v**3 - 3*v**2. Let m be o(3). Let x = 118\/5 - m. Which is the smallest value? (a) 0.5 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from {f: 5, v: 1, g: 3, t: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12037, 12033, 12027, 12019?\n\"Answer: -x**2 - x + 12039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199627643 rounded to the nearest 100000?\nAnswer: 2199600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let t(x) = -10024804*x**2. Determine f(t(u)).\nAnswer: 200993390476832*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 242508027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*z**2 - 4*z**2 + z**2 + 2*z**4 to the form h*z**4 + i*z**2 + t + g*z**3 + j*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*j + 2073 = 95*j + 743. Calculate the remainder when j is divided by 84.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qxqxxxqqqqqxq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 6*x. Let n = 703 - 701. Suppose 338 = n*m + 350. Let v(l) = -4*l**3 - 5*l. What is m*v(u) - 5*p(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1892 and 3*(-2)\/(-44)*(-234)\/(-559).\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52476897 divided by 1441.\nAnswer: -36417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}