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[ { "from": "human", "value": "What is 1144 (base 5) in base 2?" }, { "from": "gpt", "value": "10101110" } ]
[ { "from": "human", "value": "What is the c'th term of -3866, -3856, -3834, -3794, -3730, -3636, -3506, -3334?" }, { "from": "gpt", "value": "c**3 + 3*c - 3870" } ]
[ { "from": "human", "value": "Suppose 7*z - 2*z + 20 = 0. Let k(w) = -w**4 + 7*w**2 - 5*w. Let h(t) = -4*t**2 + 2*t. Let d(l) = z*k(l) - 7*h(l). Find the second derivative of d(y) wrt y." }, { "from": "gpt", "value": "48*y**2" } ]
[ { "from": "human", "value": "Let u(y) be the second derivative of -y**6/20 + y**5/12 + y**2 + 2*y. Let x(q) be the first derivative of u(q). Find the third derivative of x(o) wrt o." }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "Determine r, given that 4*r**3 + 3288*r**2 + 3276*r - 6568 = 0." }, { "from": "gpt", "value": "-821, -2, 1" } ]
[ { "from": "human", "value": "Let i = -73 + 73. Let q(c) be the second derivative of 0*c**2 + i + 1/15*c**4 + 1/50*c**5 + c + 1/15*c**3. Find y, given that q(y) = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 12353 and 11." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is 253 minutes before 7:41 PM?" }, { "from": "gpt", "value": "3:28 PM" } ]
[ { "from": "human", "value": "What is 734750 rounded to the nearest one thousand?" }, { "from": "gpt", "value": "735000.0" } ]
[ { "from": "human", "value": "Sum -1439 and -1." }, { "from": "gpt", "value": "-1440" } ]
[ { "from": "human", "value": "In base 10, what is 10 + 19?" }, { "from": "gpt", "value": "29" } ]
[ { "from": "human", "value": "In base 3, what is -22000 + 1?" }, { "from": "gpt", "value": "-21222" } ]
[ { "from": "human", "value": "0.31 - 0.115" }, { "from": "gpt", "value": "0.195" } ]
[ { "from": "human", "value": "Find the first derivative of 30*d**3 + 5*d - 647 wrt d." }, { "from": "gpt", "value": "90*d**2 + 5" } ]
[ { "from": "human", "value": "What is 3 (base 16) in base 7?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 3*k + 9 = -3*g - 2*g, 5*k - 4*g = -15 for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 12, what is -6b + -25?" }, { "from": "gpt", "value": "-94" } ]
[ { "from": "human", "value": "0.5*-799" }, { "from": "gpt", "value": "-399.5" } ]
[ { "from": "human", "value": "Let u(l) = l - 7. Let m be u(6). Let g = m - -3. Solve -5*d = g + 8 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y = -3 + 18. Solve 4*p = b + 9, -5*p - b + y + 3 = 0 for p." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is (0 - -4) + (6 - (7 + 1))?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate 1 + 2 + 0 + -5." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -d = 3*p - 8, 3*p + 1 = 4*p. Suppose d = 4*y - 7. Factor 4*t + 0*t**3 + 3*t**y + 4*t**2 - 2*t**3." }, { "from": "gpt", "value": "t*(t + 2)**2" } ]
[ { "from": "human", "value": "Let d(r) = 17*r**2 - r - 1. Let v be d(2). Suppose -x - 6*s = -4*s + 6, -37 = -3*x + 5*s. Suppose v = n + x*n. Is n prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let b be 2*9/(-4)*-2. Let t be 6/b + 4/3. Solve t*o - 2*d = 7*o - 15, -o + 4*d = 19 for o." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate (-18)/(-27)*12/(-52)." }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "What is the w'th term of -215, -424, -633, -842, -1051, -1260?" }, { "from": "gpt", "value": "-209*w - 6" } ]
[ { "from": "human", "value": "Calculate the remainder when 439388727 is divided by 1781." }, { "from": "gpt", "value": "1779" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 424 and 53." }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "Round 10.15 to the nearest integer." }, { "from": "gpt", "value": "10.0" } ]
[ { "from": "human", "value": "Work out -0.88 * -0.1." }, { "from": "gpt", "value": "0.088" } ]
[ { "from": "human", "value": "Put 18, -3, -4, 8, 4 in ascending order." }, { "from": "gpt", "value": "-4, -3, 4, 8, 18" } ]
[ { "from": "human", "value": "Divide -62 by -6." }, { "from": "gpt", "value": "31/3" } ]
[ { "from": "human", "value": "Let f(o) be the third derivative of o**5/15 + o**2 + 14*o. Let i(a) = 13*a. What is i(f(v))?" }, { "from": "gpt", "value": "52*v**2" } ]
[ { "from": "human", "value": "Let x = 27 + -15. What is the tens digit of x + 0 + -3 + 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let l be 1/((9/(-3))/(-9)). Suppose -l*u + 0*u = 48. Let o = 27 + u. What are the prime factors of o?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Work out 0.03382 + 0.1." }, { "from": "gpt", "value": "0.13382" } ]
[ { "from": "human", "value": "Round -423500 to the nearest 10000." }, { "from": "gpt", "value": "-420000.0" } ]
[ { "from": "human", "value": "Suppose 5*n**4 - 680*n**3 + 22430*n**2 + 46920*n + 23805 = 0. What is n?" }, { "from": "gpt", "value": "-1, 69" } ]
[ { "from": "human", "value": "Let z = -3 - -15. Suppose -a + z = -0*a. Does 6 divide a?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is -0.0000112945 rounded to 7 dps?" }, { "from": "gpt", "value": "-1.13e-05" } ]
[ { "from": "human", "value": "Is 137567 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the p'th term of -567, -1131, -1695, -2259, -2823?" }, { "from": "gpt", "value": "-564*p - 3" } ]
[ { "from": "human", "value": "Let t(f) = 29*f**3 - 2*f**2 + 1. List the prime factors of t(2)." }, { "from": "gpt", "value": "3, 5" } ]
[ { "from": "human", "value": "Is 11 a factor of 634?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "((-512)/(-1920))/(4/6)" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "In base 16, what is -3 + -d?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Put 1/6, -2, 1/5, -2/11, 4, -287 in increasing order." }, { "from": "gpt", "value": "-287, -2, -2/11, 1/6, 1/5, 4" } ]
[ { "from": "human", "value": "Let i(q) = -q**2 - 74*q + 593. What is i(-84)?" }, { "from": "gpt", "value": "-247" } ]
[ { "from": "human", "value": "What is 2146 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Suppose -5*y + 5*m + 15 = 0, -4*y - 3*m = m + 20. Let x be (-1 + 2)*0/y. Let r be 1/(-2)*(x - 0). Solve -4*o + 16 = -r*o for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -3*s + 7*s - 6 = 3*b, 0 = 2*b - 4. Differentiate -5*p**2 + s*p**2 - p**4 + 2*p**2 + 3 with respect to p." }, { "from": "gpt", "value": "-4*p**3" } ]
[ { "from": "human", "value": "Suppose -4 = 4*i + 4*t, -5*i + 4 = -6*i - 2*t. Suppose -i*d = -5*d + 2*z + 2, -2*d - 12 = -4*z. What is the highest common factor of d and 32?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the third derivative of -2*k**3 - k**3 + 21*k**2 - 2*k**4 + 3*k**3 wrt k?" }, { "from": "gpt", "value": "-48*k" } ]
[ { "from": "human", "value": "Suppose 5*k - 7 - 21 = -3*b, -4*k + 19 = -b. Suppose x - 51 = -k. Is x a multiple of 23?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Convert 630.9047ms to seconds." }, { "from": "gpt", "value": "0.6309047" } ]
[ { "from": "human", "value": "What is the nearest to 0.1 in 1, 2, 4.4, 0.5?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "Which is smaller: 28 or 23?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "What is 15 (base 6) in base 3?" }, { "from": "gpt", "value": "102" } ]
[ { "from": "human", "value": "Evaluate (27/18)/(3*1/(-6))." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -4*z = -5*z + b + 2, -4*b = -2*z + 10. Let p be (-2)/6 - (-734)/(-12). Let l = p - -60. Which is bigger: z or l?" }, { "from": "gpt", "value": "z" } ]
[ { "from": "human", "value": "Differentiate 89*o**2*p + 7425*o**2 - 19*o*p**3 wrt p." }, { "from": "gpt", "value": "89*o**2 - 57*o*p**2" } ]
[ { "from": "human", "value": "What is prob of picking 1 f and 1 k when two letters picked without replacement from {u: 1, p: 1, k: 2, f: 2}?" }, { "from": "gpt", "value": "4/15" } ]
[ { "from": "human", "value": "Let o be 1 + -3 - (-42)/2. Suppose 4 - 3 = -3*k + 4*w, 3*k + 5*w = -o. Which is bigger: 5 or k?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let b = -0.08 + 5.08. Sort 3, 1/5, b, -2/5." }, { "from": "gpt", "value": "-2/5, 1/5, 3, b" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) 1/3 (b) 0 (c) 7 (d) -22" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the nearest to -1 in -4, 0.7, 3, -0.4?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Suppose -5*i = -3*l - 23, -4*i + 0*i + 20 = -4*l. Is l at least -8/9?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -4*j - 12 = -m - 2*m, m - 4 = -3*j. Solve q = -j*q - 5 for q." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Is 49 a multiple of 7?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let h be (-50)/(-30) - (8/3 + -3). Which is the closest to h? (a) 3 (b) 2 (c) -0.2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is 235 minutes after 7:18 AM?" }, { "from": "gpt", "value": "11:13 AM" } ]
[ { "from": "human", "value": "Let s = 0.35 + -0.317. Let o = -0.03300123 + s. What is o rounded to 7 dps?" }, { "from": "gpt", "value": "-1.2e-06" } ]
[ { "from": "human", "value": "Simplify 3 + (sqrt(16)/sqrt(8) + -3)**2." }, { "from": "gpt", "value": "14 - 6*sqrt(2)" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 90 and 25064118." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is the fifth root of 1159 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 1719 to the power of 1/7, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Round 54990000 to the nearest 1000000." }, { "from": "gpt", "value": "55000000.0" } ]
[ { "from": "human", "value": "What comes next: -95, -107, -131, -173, -239, -335, -467, -641?" }, { "from": "gpt", "value": "-863" } ]
[ { "from": "human", "value": "Let l(a) = 1 - 4*a. Let d be -4*(-1)/(1*-2). Let q be l(d). Suppose 2*g + 2*c = 98, -g + 40 = -2*c - q. Is g prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there between 10:59 PM and 8:55 AM?" }, { "from": "gpt", "value": "596" } ]
[ { "from": "human", "value": "What is the q'th term of 21, 65, 137, 237, 365, 521, 705?" }, { "from": "gpt", "value": "14*q**2 + 2*q + 5" } ]
[ { "from": "human", "value": "Which is the closest to 4/9? (a) -1/17 (b) -7 (c) 33 (d) 1/4 (e) -15/4 (f) -0.8" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "How many minutes are there between 10:30 AM and 5:24 PM?" }, { "from": "gpt", "value": "414" } ]
[ { "from": "human", "value": "Let f(d) = -d**2 + 7*d - 3. Let v(p) = p**2 - p - 1. Let w be v(-2). What is the remainder when 13 is divided by f(w)?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let t(b) = 4*b**2 + b + 2. Does 10 divide t(2)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the remainder when 1231 is divided by 16?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let 0 - 1/3*w**4 + 0*w**3 + 0*w + 0*w**2 = 0. Calculate w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 23615 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let h(j) = j**2. Let b be h(0). Suppose b = 5*s - 4*s - 3. Let l = -1.9 + 2. What is the nearest to 1 in l, -4, s?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "Solve 5*w - 22 = 3*o, 0 = 3*w - 1 - 14 for o." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the closest to -2? (a) -0.5 (b) -3/2 (c) -2/13 (d) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose 5*f - 2*f - 24 = 0. Suppose -7*v = -5*v - f. Solve -3*s - 9 = -4*l, -2*s + 3*s + l = v for s." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the s'th term of -4, -29, -54, -79?" }, { "from": "gpt", "value": "21 - 25*s" } ]
[ { "from": "human", "value": "Suppose 15 = -i - 4*i. Let s be 175/(-244) + i/(-6). Let w = s + -2/61. Which is the third biggest value? (a) -5 (b) -3 (c) w" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is greater: -1144 or -1145?" }, { "from": "gpt", "value": "-1144" } ]
[ { "from": "human", "value": "In base 8, what is 576 + -2?" }, { "from": "gpt", "value": "574" } ]
[ { "from": "human", "value": "Let v(m) = -m**2 + 9*m - 18. Let u be v(6). Suppose u*q - 5*n + 47 = 4*q, -5*q + 3*n + 31 = 0. What is the common denominator of 51/8 and q?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the cube root of 15962 to the nearest integer?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Let i be (-27)/(-3) - (-4)/(-4). Solve 6*h - 2*h = i, -4*w + 3*h = 6 for w." }, { "from": "gpt", "value": "0" } ]