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[ { "from": "human", "value": "Let d(f) = f**3 - 4*f**2 + 3*f + 2. Let u be d(3). Let n(t) be the first derivative of -2 + t**u + 5 - t - 2. Find the first derivative of n(y) wrt y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let o be (-1)/3 + 14/6. Suppose 0 = -o*k + 7 + 13. Solve 5*q - 2*v = -2, -3*v = -3*q + 2*q + k for q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 2, what is 10001 - 1001111001?" }, { "from": "gpt", "value": "-1001101000" } ]
[ { "from": "human", "value": "Is 78779 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 10 = 2*d + 2*p, 3 = 30*d - 28*d - 5*p for d." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "10 divided by -10" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let w = 10 - 12. Calculate the remainder when (w/(-4))/((-2)/(-128)) is divided by 11." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is -22 (base 4) in base 10?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Let h = 722 - 343. Is h composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 8804 and 992." }, { "from": "gpt", "value": "124" } ]
[ { "from": "human", "value": "Solve -12*m - 8*m = -5*m for m." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let p(z) = z + 10. Let l be p(0). Let c be 15/(-25) - (-76)/l. Solve -2*f + c*f + 20 = 0 for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate (-1458)/6804*7*1/(-6)." }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let n be 6 + -7 + -1 + 6. Let w = 9 - 5. Suppose 8 - w = f. Solve 2*o + 0*r = 2*r - n, -3*r - 29 = f*o for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let t = -41 - -53. Solve -2*v + t = 2*v for v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the fourth smallest value? (a) -4 (b) 0.3 (c) 2/13 (d) -1/6 (e) -66" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Simplify ((4 + sqrt(7) + -3)*5 + -5)**2." }, { "from": "gpt", "value": "175" } ]
[ { "from": "human", "value": "Simplify 2*sqrt(405)*-1." }, { "from": "gpt", "value": "-18*sqrt(5)" } ]
[ { "from": "human", "value": "Solve 62*y - 11 = 73*y for y." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the m'th term of -56, -60, -76, -110, -168, -256?" }, { "from": "gpt", "value": "-m**3 + 3*m - 58" } ]
[ { "from": "human", "value": "Is 1 <= -35/263?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the h'th term of -6, -17, -42, -87, -158, -261, -402?" }, { "from": "gpt", "value": "-h**3 - h**2 - h - 3" } ]
[ { "from": "human", "value": "101 (base 5) to base 3" }, { "from": "gpt", "value": "222" } ]
[ { "from": "human", "value": "What is the first derivative of -18*b*z**2 - 17*b - z**2 - 1 wrt z?" }, { "from": "gpt", "value": "-36*b*z - 2*z" } ]
[ { "from": "human", "value": "Suppose 0 = 2*z - 2*u, 2 = 2*u + 6. Let s(j) = j - 3. Let g be s(-2). Is 11 a factor of z/g + 339/15?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the m'th term of 113, 168, 223, 278, 333, 388?" }, { "from": "gpt", "value": "55*m + 58" } ]
[ { "from": "human", "value": "What is next in 5311, 5312, 5313?" }, { "from": "gpt", "value": "5314" } ]
[ { "from": "human", "value": "Solve 0 = 6*v - 7*v + n - 5, -5*v = 5*n - 5 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 0 = -26*l + 28*l + 4 for l." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 55507 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let j(s) be the third derivative of 5*s**8/504 - 4*s**7/105 + s**6/45 - 58*s**2. Let j(i) = 0. What is i?" }, { "from": "gpt", "value": "0, 2/5, 2" } ]
[ { "from": "human", "value": "Convert -1c4 (base 13) to base 12." }, { "from": "gpt", "value": "-235" } ]
[ { "from": "human", "value": "Total of 5.8 and -3.1." }, { "from": "gpt", "value": "2.7" } ]
[ { "from": "human", "value": "Suppose 5 = 14*d - 23. Let k(t) be the second derivative of 1/72*t**4 + 2*t + 1/18*t**3 + 0*t**d + 0. Solve k(s) = 0." }, { "from": "gpt", "value": "-2, 0" } ]
[ { "from": "human", "value": "Find the first derivative of 5219 - 7715*r**4 wrt r." }, { "from": "gpt", "value": "-30860*r**3" } ]
[ { "from": "human", "value": "Let l be ((-2)/(-8))/((-3)/(-60)). Suppose l*q - 8*q = -6. Let k = -3 - -7. Solve q*n = 3*r - 6 - 9, -21 = k*n - 3*r for n." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 0.1 smaller than 142409?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate -2 + (-6 - -6) - (-1 + -2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 8, what is -142 + 2?" }, { "from": "gpt", "value": "-140" } ]
[ { "from": "human", "value": "Solve -5*i = a + 75, -4*a - 4*i - 199 = -123 for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "(14/21)/(((-32)/15)/(-4))" }, { "from": "gpt", "value": "5/4" } ]
[ { "from": "human", "value": "Put -50, 1/3, 0, -5, 3 in descending order." }, { "from": "gpt", "value": "3, 1/3, 0, -5, -50" } ]
[ { "from": "human", "value": "What is the highest common factor of 20 and 8?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let c(j) = -7*j**3 + 6*j**2 + 6. Let k(n) = -n**2 - 1. Give -5*c(d) - 30*k(d)." }, { "from": "gpt", "value": "35*d**3" } ]
[ { "from": "human", "value": "Calculate (-18)/9*(-12)/(-6)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -0.0966 take away 348?" }, { "from": "gpt", "value": "-348.0966" } ]
[ { "from": "human", "value": "-223*0.59" }, { "from": "gpt", "value": "-131.57" } ]
[ { "from": "human", "value": "Let k = -14 + 30. Solve -5*g + 3*s = -0 + 1, 2*g = -4*s - k for g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What comes next: -130, -137, -156, -193, -254, -345?" }, { "from": "gpt", "value": "-472" } ]
[ { "from": "human", "value": "What is the w'th term of -1214, -1210, -1206, -1202, -1198?" }, { "from": "gpt", "value": "4*w - 1218" } ]
[ { "from": "human", "value": "Let m be 1 + 2 + (1 - 1). Let a(q) = -q**3 + q**2. Let r be a(-1). Solve m*i = i + r for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -4*h + 12 = -2*h. Suppose -125 = -19*g - h*g. Solve -g*k = 5*l - 25, k - 25 = -5*l - 3*k for l." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the u'th term of 229, 865, 1919, 3385, 5257, 7529, 10195, 13249?" }, { "from": "gpt", "value": "-u**3 + 215*u**2 - 2*u + 17" } ]
[ { "from": "human", "value": "Let g be 1/(-3) + (-24)/(-18). Let n be 8/4 + (g - 3). Solve 2*j + 8 = -n for j." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What comes next: 6, 0, -8, -18, -30, -44, -60?" }, { "from": "gpt", "value": "-78" } ]
[ { "from": "human", "value": "Let z(k) = -k**2 - 17*k - 17. Suppose -5*h + 18 = 88. Does 7 divide z(h)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 298 minutes after 7:12 AM?" }, { "from": "gpt", "value": "12:10 PM" } ]
[ { "from": "human", "value": "Solve 51 = -30*t - 129 for t." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "265*0.1" }, { "from": "gpt", "value": "26.5" } ]
[ { "from": "human", "value": "What is the first derivative of 866*t**3*w + 745*w wrt t?" }, { "from": "gpt", "value": "2598*t**2*w" } ]
[ { "from": "human", "value": "Suppose 0 = -u + 3*t, 3*u = -6*t + 2*t + 26. Let q(s) = -s**2 + 6*s + 3. Let p be q(u). Solve 6*x = p*x for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let d(p) = 8*p - 2. Let b be d(-3). What is the common denominator of b*(-3)/66 - 2 and (0 + -2)*27/(-21)?" }, { "from": "gpt", "value": "77" } ]
[ { "from": "human", "value": "What is 36 minutes after 10:35 AM?" }, { "from": "gpt", "value": "11:11 AM" } ]
[ { "from": "human", "value": "Let d = -1 + 2. Suppose 17*w = 21*w - 16. Solve 3*t - w = -d for t." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let s = -7/150 + -3/25. What is the smallest value in 0, -0.4, s, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 21/4 of a millennium in decades?" }, { "from": "gpt", "value": "525" } ]
[ { "from": "human", "value": "What is the third derivative of 16*i**5 + 26*i**2 - 39*i**2 + 12*i**2 wrt i?" }, { "from": "gpt", "value": "960*i**2" } ]
[ { "from": "human", "value": "Which is smaller: -6/17 or 1?" }, { "from": "gpt", "value": "-6/17" } ]
[ { "from": "human", "value": "What is the next term in 26, 12, -26, -100, -222, -404, -658?" }, { "from": "gpt", "value": "-996" } ]
[ { "from": "human", "value": "What is the b'th term of -2704, -2694, -2664, -2602, -2496, -2334, -2104, -1794?" }, { "from": "gpt", "value": "2*b**3 - 2*b**2 + 2*b - 2706" } ]
[ { "from": "human", "value": "Is 60 a factor of 3360?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*q + 12 = -4*d, -d = -4*d + 4*q + 2. Let l be (-2)/(-7) + 26/7. Which is the closest to d? (a) 0.1 (b) -3 (c) l" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let r = -1 + -7. Let z be 12/(6*(-2)/r). Solve -z = 3*g - g for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let u be (2 - 0)/(4 + -2). Let d be ((-1 - -2) + 1)/u. Suppose -2*o + 5*m + 18 = -3*o, -3*o - d*m - 2 = 0. Solve 3*v + 10 = -o*v for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "List the prime factors of 14528." }, { "from": "gpt", "value": "2, 227" } ]
[ { "from": "human", "value": "Expand (3*p**2 + 0*p**2 - 2*p**2)*(p**2 + 3*p**2 - 3*p**2) + ((-2 + 4 + 0)*(1 - 2 + 3) - 2 + 4 + 2)*(17 - 17 + 20*p**4)." }, { "from": "gpt", "value": "161*p**4" } ]
[ { "from": "human", "value": "Does 54 divide 13068?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate ((-21)/(-9))/7*30/(-2)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Find y such that -35*y**4/3 + 260*y**3 - 955*y**2/3 + 70*y = 0." }, { "from": "gpt", "value": "0, 2/7, 1, 21" } ]
[ { "from": "human", "value": "Suppose -f - 2*k + 15 = 0, -2*f + 15 = -f - 4*k. Let c be (f/6)/(2/(-4)). What is the second smallest value in -0.4, -0.5, c?" }, { "from": "gpt", "value": "-0.5" } ]
[ { "from": "human", "value": "What is 1224 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Subtract -73 from -18005." }, { "from": "gpt", "value": "-17932" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in 3/2, -2, 0.2?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Suppose 0 = -2*y - 2*y - 12, -2*d = -4*y - 10. Let a be d/6 + (-159)/(-90). Factor -1/5*r - r**3 - a*r**2 + 2/5." }, { "from": "gpt", "value": "-(r + 1)**2*(5*r - 2)/5" } ]
[ { "from": "human", "value": "Calculate the remainder when 528 is divided by 83." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "What is the square root of 155 to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What comes next: -25, -99, -229, -421, -681, -1015, -1429, -1929?" }, { "from": "gpt", "value": "-2521" } ]
[ { "from": "human", "value": "Is 39134321 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -3*y + 9 = 3*u, -4*u = -0*u for y." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let u = -0.01052325 + -0.3894765. Let x = u + 0.4. Round x to seven dps." }, { "from": "gpt", "value": "3e-07" } ]
[ { "from": "human", "value": "What is the next term in -10, -73, -246, -583, -1138?" }, { "from": "gpt", "value": "-1965" } ]
[ { "from": "human", "value": "In base 10, what is 730 - 1?" }, { "from": "gpt", "value": "729" } ]
[ { "from": "human", "value": "Which is the closest to -15? (a) -5 (b) 2 (c) 1" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -1 + (4 - (3 - 3 - 1))?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the i'th term of -42561, -42562, -42563, -42564, -42565?" }, { "from": "gpt", "value": "-i - 42560" } ]
[ { "from": "human", "value": "Calculate the remainder when 227 is divided by 123." }, { "from": "gpt", "value": "104" } ]
[ { "from": "human", "value": "What is the difference between -476967 and 0.3?" }, { "from": "gpt", "value": "476967.3" } ]
[ { "from": "human", "value": "What is the h'th term of 0, 7, 18, 33?" }, { "from": "gpt", "value": "2*h**2 + h - 3" } ]
[ { "from": "human", "value": "Solve -47*i + 45*i = -10 for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "In base 15, what is 6d3 + 4?" }, { "from": "gpt", "value": "6d7" } ]