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[ { "from": "human", "value": "Find the first derivative of -3089*s**3 - 2702 wrt s." }, { "from": "gpt", "value": "-9267*s**2" } ]
[ { "from": "human", "value": "Simplify ((m/m**(-4)*m)/(m**(-14)/m))/(m**10*(m/(m*m*(m/(m**(-5)*m))/m*m))/m) assuming m is positive." }, { "from": "gpt", "value": "m**18" } ]
[ { "from": "human", "value": "Differentiate 7*z**4 + 4*z**2 - 2 - 4*z**2 wrt z." }, { "from": "gpt", "value": "28*z**3" } ]
[ { "from": "human", "value": "What is the thousands digit of 3907?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate 54/(-12) - ((-36)/8)/(-9)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let k be (-2)/(3/(-1 + -2)). Let i be (-2)/(-8)*-2*-2. Suppose 0 = -k*q + 5 - i. Solve -4*n = -3*n + 2*l, q*n - 3*l = -7 for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -1 - 5 = 3*v - n, -5*v + 4*n - 3 = 0. Let k = 274 + -4112/15. What is the closest to -0.1 in v, -2/17, k?" }, { "from": "gpt", "value": "-2/17" } ]
[ { "from": "human", "value": "How many years are there in three eighths of a millennium?" }, { "from": "gpt", "value": "375" } ]
[ { "from": "human", "value": "What is the third root of 17504 to the nearest integer?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "Solve 5*f - 4 = f, -k + 3 = -2*f for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z be 6/27 + 6/(-27). Suppose z = -s - w + 16, -2*s + 2*w = -2*w - 50. Is s a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let l(o) = -o**3 - 7*o**2 - 6*o. Let p be l(-6). Solve -16 = -p*a + 4*a for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate ((-168)/(-252))/(5/6)." }, { "from": "gpt", "value": "4/5" } ]
[ { "from": "human", "value": "How many minutes are there between 5:34 AM and 8:49 AM?" }, { "from": "gpt", "value": "195" } ]
[ { "from": "human", "value": "Put -1, 2, -4 in increasing order." }, { "from": "gpt", "value": "-4, -1, 2" } ]
[ { "from": "human", "value": "What is the value of 0 + (-1 - 2) + -2?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "4 + -7 - (-1)/(2/6)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -m + 1 = -3 for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v = 8 - -8. Suppose -2*o = -6*o + v. Suppose 4*f - 33 = -5*w, -3*f = -o*f + 5*w - 23. Solve z - f = 1 for z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the product of 74 and -14?" }, { "from": "gpt", "value": "-1036" } ]
[ { "from": "human", "value": "Calculate the remainder when 123 is divided by 9." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is next in -53, -108, -163?" }, { "from": "gpt", "value": "-218" } ]
[ { "from": "human", "value": "Let u = -30 - -8. Let r = -5 - u. What is the remainder when r is divided by 9?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is next in -2606, -5026, -7284, -9386, -11338, -13146, -14816, -16354?" }, { "from": "gpt", "value": "-17766" } ]
[ { "from": "human", "value": "What is the remainder when 429 is divided by 122?" }, { "from": "gpt", "value": "63" } ]
[ { "from": "human", "value": "Let w(u) = u + 11. Let r be w(-9). Solve r = -0*n + n for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 8, what is 3 - -160?" }, { "from": "gpt", "value": "163" } ]
[ { "from": "human", "value": "Let u be (0 - (1 - 0)) + 4. Which is the closest to 1? (a) -0.4 (b) -4 (c) u" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate the remainder when 62 is divided by 29." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let t = 0.19 - 0.26. Which is the third biggest value? (a) 5 (b) t (c) -5/3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the units digit of 15/6*(518/222 + (-81811)/(-15))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 14, what is 34 + 8?" }, { "from": "gpt", "value": "3c" } ]
[ { "from": "human", "value": "Let d be -2*(-1)/4*4. Let v = 3 + -6. Let a(i) = i**2 + 3*i + 1. Let k be a(v). Is d greater than k?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u be (-981)/(-336) + -5 + 2. Let m be (2/(-80))/(2/(-5)). Let j = m - u. Is j less than or equal to -1/2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there in 1/4 of a day?" }, { "from": "gpt", "value": "360" } ]
[ { "from": "human", "value": "Let z(g) = -2*g**3 - 4*g**2 - 2*g + 1. Let d(l) = -l - 2. Let m be d(0). Let v be z(m). Let j(t) = t**2 + t + 1. Is j(v) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let t = -208.1 + 207.7. Which is the fourth biggest value? (a) -11 (b) 2 (c) -0.3 (d) t (e) -0.5" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "What is 4871 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Let n = -2798 + 1257. Let c = n - -2458. Is c prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose y + 6 = 4*y, 0 = 3*x - 3*y - 6. Suppose -13 = -s + 4. Let p = s - x. What is the remainder when 37 is divided by p?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let s(x) = -6*x - 9. Let y be s(-2). Solve a + 1 = -4, 5*n + y*a = -10 for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 11 = -5*r - 2*t, -t + 6 - 4 = -5*r for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -o + 70 = -0*o - 2*h, -4*o = 3*h - 291. Suppose -3*n - 2*k = -7*n + o, -k = 0. Calculate the least common multiple of n and 22." }, { "from": "gpt", "value": "198" } ]
[ { "from": "human", "value": "Solve 3*v - 11 - 1 = 0 for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let s(n) be the first derivative of -10 - 9*n - n**3 - 3/4*n**4 + 15/2*n**2. Solve s(v) = 0." }, { "from": "gpt", "value": "-3, 1" } ]
[ { "from": "human", "value": "Convert 0.799571 nanometers to centimeters." }, { "from": "gpt", "value": "0.0000000799571" } ]
[ { "from": "human", "value": "Round 0.02902315005 to 6 dps." }, { "from": "gpt", "value": "0.029023" } ]
[ { "from": "human", "value": "Let k = 0.2 - 0.18. Let h = k + -0.32. Let r = h + -0.7. Are -1 and r equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -2*d + 13 = -t, 4*t + 9 = 3*d - 8. Let y(f) = f - 7. Let c be y(d). Solve c = -2*r + r for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 0 = 7*n - 78 - 132. What is the remainder when 177 is divided by n?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Suppose -2*h = 3*h + 2*j - 12, -28 = -2*h + 5*j. Suppose -u + h = 1. Let w(q) = -q**2 - 13*q - 10. Let v be w(-12). Solve -u*s = -v*s for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 0 = 7*o + 14 - 7 for o." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let j be (9 - 0)*(-112)/24. Let u = j - -87. List the prime factors of u." }, { "from": "gpt", "value": "3, 5" } ]
[ { "from": "human", "value": "Solve -98 = -12*a - 158 for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let n be 6/(-21) - 4/14. Which is the second smallest value? (a) 2/5 (b) 0.2 (c) n (d) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let d(q) = 4*q - 4*q**2 + 10*q**2 + 0 + 3 + q**3. Let w be d(-5). What is the second derivative of -3*u + w*u + 3*u**5 - 7*u wrt u?" }, { "from": "gpt", "value": "60*u**3" } ]
[ { "from": "human", "value": "Is 23 less than or equal to 14?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 4*y = -8, 0 = -4*i + 3*y + 10 + 4. Suppose -i*w = 4 - 10. Find the first derivative of 0*l**w + 5 + l**3 - 3 wrt l." }, { "from": "gpt", "value": "3*l**2" } ]
[ { "from": "human", "value": "What is next in -155, -397, -639, -881, -1123, -1365?" }, { "from": "gpt", "value": "-1607" } ]
[ { "from": "human", "value": "Let q(p) = p**2 - 3*p**2 - p**2. Let n(x) = 24*x - 47*x + 25*x. Calculate n(q(l))." }, { "from": "gpt", "value": "-6*l**2" } ]
[ { "from": "human", "value": "What is next in 229, 461, 693, 925, 1157, 1389?" }, { "from": "gpt", "value": "1621" } ]
[ { "from": "human", "value": "What are the prime factors of 10203?" }, { "from": "gpt", "value": "3, 19, 179" } ]
[ { "from": "human", "value": "What is the s'th term of -88, -83, -76, -67, -56?" }, { "from": "gpt", "value": "s**2 + 2*s - 91" } ]
[ { "from": "human", "value": "Let -z**2 + 5*z**2 + 39*z**5 - 4*z**4 - 23*z**5 - 16*z**3 = 0. What is z?" }, { "from": "gpt", "value": "-1, 0, 1/4, 1" } ]
[ { "from": "human", "value": "How many seconds are there in 13/5 of a hour?" }, { "from": "gpt", "value": "9360" } ]
[ { "from": "human", "value": "What comes next: 17, 23, 11, -25, -91, -193?" }, { "from": "gpt", "value": "-337" } ]
[ { "from": "human", "value": "Calculate the common denominator of -31/348 and (-70)/21 + 5 + -3 + 8." }, { "from": "gpt", "value": "348" } ]
[ { "from": "human", "value": "What is the hundreds digit of 1045?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the m'th term of -197, -793, -1785, -3173, -4957?" }, { "from": "gpt", "value": "-198*m**2 - 2*m + 3" } ]
[ { "from": "human", "value": "Let c = 91 + -92.95. Let s = c + -0.05. Sort s, 0.2, -1/3." }, { "from": "gpt", "value": "s, -1/3, 0.2" } ]
[ { "from": "human", "value": "Simplify (0 + sqrt(76))**2*-5." }, { "from": "gpt", "value": "-380" } ]
[ { "from": "human", "value": "Factor 6*u**3/11 + 996*u**2 + 454674*u." }, { "from": "gpt", "value": "6*u*(u + 913)**2/11" } ]
[ { "from": "human", "value": "Expand (-2*w - 11 + 11)*(3 - w - 3) + (-6 + 1 + 3)*(-w + w - w**2) + w**2 + 3*w**2 - 2*w**2." }, { "from": "gpt", "value": "6*w**2" } ]
[ { "from": "human", "value": "Let l = 31 + -34. What is the nearest to 0 in -2, l, -2/27?" }, { "from": "gpt", "value": "-2/27" } ]
[ { "from": "human", "value": "What is the highest common divisor of 38 and 3648?" }, { "from": "gpt", "value": "38" } ]
[ { "from": "human", "value": "In base 8, what is 12 + 45?" }, { "from": "gpt", "value": "57" } ]
[ { "from": "human", "value": "Let w be (2 - 3) + (-4)/(-2). Let a be w + 29 + 1*-2. Suppose 2 + a = 5*m. Solve -o = o + m for o." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 30032 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "173" } ]
[ { "from": "human", "value": "16 divided by 83" }, { "from": "gpt", "value": "16/83" } ]
[ { "from": "human", "value": "Solve 3*r - 2*r + 7 = 2*o, -21 = 5*r + 4*o for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 3*k + 6 = -3*x, -3*k + x - 6*x - 16 = 0. Put -2, k, -1 in descending order." }, { "from": "gpt", "value": "k, -1, -2" } ]
[ { "from": "human", "value": "In base 11, what is 17 - 9?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the value of 4/(-6) - (28 - 28)?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "432 divided by 48" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let a = -6 - 13. Let m = a - -22. Solve w = 2*c - 1, 0*c + 2*w = m*c for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -8*g - 15 - 17 = 0. Let q be -5*(-3)/(g + 7). Suppose -q*s = 2*u - 203, -u + 224 = u - 2*s. List the prime factors of u." }, { "from": "gpt", "value": "109" } ]
[ { "from": "human", "value": "Solve -33*q = -3*r + 84, -31950*q + 31947*q + 2*r + 12 - 49 = 0 for q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the greatest common factor of 2744 and 32?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the value of (-98)/(-34) + (-1225)/425 + 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Determine v, given that 6 - 3*v - 4*v + 2*v**2 - 5*v + 12 = 0." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let s be 2/(-4) - (-3)/(-2). Let w = 5 - 3. Let f = w + -1.9. Which is the nearest to f? (a) s (b) 2/5 (c) -2/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let q be (2 + -8)/(18/(-12)). Let i(y) be the second derivative of -2*y**3/3 + 2*y**2 + 6*y. What is i(q)?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Expand (-n + 2*n**2 + n)*(0*n + 4*n - 3*n) + 236*n - 19*n**3 - 236*n." }, { "from": "gpt", "value": "-17*n**3" } ]
[ { "from": "human", "value": "Simplify i**(-1/5)*i*i/(i/((((i/(i/i**(-30)))/i)/i)/i)) assuming i is positive." }, { "from": "gpt", "value": "i**(-161/5)" } ]
[ { "from": "human", "value": "Let y = -325 + 328. Let x(d) = -3*d**2 + 7*d + 9. Let j(c) = 2*c**2 - 4*c - 5. Let k(p) = 5*j(p) + 3*x(p). What is the units digit of k(y)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the square root of 1784 to the nearest integer?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "Put together 0.559 and 7." }, { "from": "gpt", "value": "7.559" } ]
[ { "from": "human", "value": "How many decades are there in 8656.644 years?" }, { "from": "gpt", "value": "865.6644" } ]
[ { "from": "human", "value": "Which is the closest to -2/5? (a) -0.5 (b) 2/11 (c) 0.3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve -3*r - v = 29 - 4, -4*r + 5*v = 8 for r." }, { "from": "gpt", "value": "-7" } ]