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[ { "from": "human", "value": "Factor -2*s**3/19 - 34*s**2/19 - 54*s/19 + 90/19." }, { "from": "gpt", "value": "-2*(s - 1)*(s + 3)*(s + 15)/19" } ]
[ { "from": "human", "value": "What is the biggest value in 2, -3, -2/3, -0.5?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate ((-1)/3)/((-506)/(-276))." }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "How many meters are there in 0.579287 millimeters?" }, { "from": "gpt", "value": "0.000579287" } ]
[ { "from": "human", "value": "(-968)/2640 + ((-3)/(-5))/3" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "What is next in 9638, 9637, 9636, 9635, 9634, 9633?" }, { "from": "gpt", "value": "9632" } ]
[ { "from": "human", "value": "What is 360 minutes before 5:53 AM?" }, { "from": "gpt", "value": "11:53 PM" } ]
[ { "from": "human", "value": "Solve -2*t + 137 = 141 for t." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -3*v + 7*v = -20. Let f be (-22)/(-4) + 8/(-16). Which is the third smallest value? (a) v (b) -3 (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Simplify 3*(2 + sqrt(4)/sqrt(2))**2." }, { "from": "gpt", "value": "12*sqrt(2) + 18" } ]
[ { "from": "human", "value": "What is 618 minutes before 10:43 PM?" }, { "from": "gpt", "value": "12:25 PM" } ]
[ { "from": "human", "value": "Calculate the remainder when 28390864 is divided by 3212." }, { "from": "gpt", "value": "3208" } ]
[ { "from": "human", "value": "Let p = -149 - -295. Suppose -p = -3*h - m, -2*h - 2*h + 2*m = -188. Suppose 5*a + 11 = c, -5*a + 7 = 3*c - c. What is the greatest common divisor of c and h?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "In base 2, what is -11 + 11011?" }, { "from": "gpt", "value": "11000" } ]
[ { "from": "human", "value": "Let d be (-1)/(-2) + 35/14. Suppose -f - 109 = 3*f - k, -d*f - 77 = 4*k. Let t be (-3*6/f)/(-3). Which is greater: 2 or t?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Express -9 - 10 + 2*i**3 + 43 - 14 - i**2 as z*i + g*i**2 + c + m*i**3 and give g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "How many seconds are there in one ninth of a hour?" }, { "from": "gpt", "value": "400" } ]
[ { "from": "human", "value": "Let q = -12 + 8. Let x = q - -7. Let p = 0 - -1. Which is the nearest to p? (a) -1/9 (b) x (c) 4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 3/17 (b) -1.5 (c) 0.3 (d) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -52*z + 14773 = 518*z + 30*z + 269*z for z." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Let q(u) = -u**3 - 5*u**2 - 5*u + 6. List the prime factors of q(-5)." }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "In base 9, what is -1126 + 15?" }, { "from": "gpt", "value": "-1111" } ]
[ { "from": "human", "value": "Does 42 divide 3444?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 0 = -0*d + d - 6. Let p be (32/(-12))/((-2)/3). Let f = d - p. Solve -f*m + 3*m = 1 for m." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Divide -166 by -2." }, { "from": "gpt", "value": "83" } ]
[ { "from": "human", "value": "Divide -6820 by -620." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is the product of 0.053 and -62?" }, { "from": "gpt", "value": "-3.286" } ]
[ { "from": "human", "value": "What is the next term in -57, -114, -171, -228, -285?" }, { "from": "gpt", "value": "-342" } ]
[ { "from": "human", "value": "What is the b'th term of 322, 321, 320, 319?" }, { "from": "gpt", "value": "323 - b" } ]
[ { "from": "human", "value": "Let d = -7 + 6. Let f = 2 - d. Solve -f*t + 3 = -0 for t." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose b - 5*b = -b. Factor b + 0*o + 2/9*o**2." }, { "from": "gpt", "value": "2*o**2/9" } ]
[ { "from": "human", "value": "Let u(s) be the first derivative of s**4/4 - 5*s**3/3 - 3*s**2/2 + 3*s - 6. Is 7 a factor of u(6)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 1 = 5*i - 4 for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -15 (base 13) in base 6?" }, { "from": "gpt", "value": "-30" } ]
[ { "from": "human", "value": "435 divided by -87" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -2/11 (b) -7/9 (c) 0 (d) -4/7 (e) 0.3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve -12 = 5*q + 3*f, -4*f + 3*f - 4 = 0 for q." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the second derivative of -j**4 + 153*j**2 - 5*j + 16 wrt j?" }, { "from": "gpt", "value": "306 - 12*j**2" } ]
[ { "from": "human", "value": "Differentiate 8*c**3 - 93*c*m - 329*m wrt c." }, { "from": "gpt", "value": "24*c**2 - 93*m" } ]
[ { "from": "human", "value": "Calculate prob of sequence zzz when three letters picked without replacement from {z: 7}." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o = -8 - -21. Suppose -3 - o = -4*z. Solve z*t + 16 = -0*t for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the product of 3520 and -1?" }, { "from": "gpt", "value": "-3520" } ]
[ { "from": "human", "value": "Let c(h) = 332*h**3 - h**2 + 4*h - 4. Is c(1) a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is next in -69, -104, -163, -246, -353?" }, { "from": "gpt", "value": "-484" } ]
[ { "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": "Simplify sqrt(931) + 2 - 1*sqrt(304)." }, { "from": "gpt", "value": "2 + 3*sqrt(19)" } ]
[ { "from": "human", "value": "Let a = -10397/2145 - 5/1716. Let g = 156287887/131440 + 169/26288. Let f = -1192 + g. Calculate the common denominator of f and a." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What is the i'th term of 181, 186, 191, 196, 201?" }, { "from": "gpt", "value": "5*i + 176" } ]
[ { "from": "human", "value": "Suppose 0 = 2*f + 3*f + 5*l - 75, -2*f = -3*l - 25. Let r = f + -10. Solve r + 0 = 2*n for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let o(n) be the second derivative of -n**5/20 - n**4/6 + 7*n**3/6 + 3*n**2 - 2*n. Let m be o(-4). Let l = -6 - -11. Solve l*b + m*q = 5*q, -3*q = -b for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -37 divided by -50?" }, { "from": "gpt", "value": "37/50" } ]
[ { "from": "human", "value": "((-8)/(-12))/(3 + (-7)/3)" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let y = 15 + -11. Let a = 3.9 - y. Let s = a + 0.3. What is the biggest value in -1, s, 0.1?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "Solve -13*w + 14 = -20*w for w." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Collect the terms in -10*q + q**2 - 26*q**2 - 27*q." }, { "from": "gpt", "value": "-25*q**2 - 37*q" } ]
[ { "from": "human", "value": "Solve 10*s - 9*s = -b - 6, 15 = -5*s for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -73 = -18*x - 19. Find t such that 32*t**2 + 20*t**x - 16*t**2 + 5*t**4 - 21*t**2 - 20*t = 0." }, { "from": "gpt", "value": "-4, -1, 0, 1" } ]
[ { "from": "human", "value": "What is the value of ((-1188)/55 - -14) + (-4)/10?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Suppose -210 = -3*z - 2*d + d, -129 = -2*z + 3*d. Let q = z + 2. Suppose -3*j + 55 + q = 0. Does 13 divide j?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let r(x) = 2*x**2 - 8*x - 59. Let z be r(-8). Let h = z + -113. Solve 0 = 2*o - 12 + h for o." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -5*r - 9 = -2*r. Let f be (8/r)/(8/(-12)). Suppose -2*k - f*y - 2 = -k, 0 = 3*y + 3. What is the highest common divisor of 22 and k?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 9, what is -23 - 13?" }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "-0.08*-47" }, { "from": "gpt", "value": "3.76" } ]
[ { "from": "human", "value": "Solve -7*o - 32*o + 78 = 0 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -9*h + 3 = -6*h. Solve -2*p + h = -1 for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the highest common divisor of 18 and 162?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is the derivative of 7*c*k**3 - 4*c*k**2 + 377*k**3 wrt c?" }, { "from": "gpt", "value": "7*k**3 - 4*k**2" } ]
[ { "from": "human", "value": "What is the c'th term of 57, 36, -7, -78, -183, -328, -519?" }, { "from": "gpt", "value": "-c**3 - 5*c**2 + c + 62" } ]
[ { "from": "human", "value": "Let f(o) = 158*o**2 + o - 1. Is 4 a factor of f(1)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 82110 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "287" } ]
[ { "from": "human", "value": "Add -0.0659 and 1.6." }, { "from": "gpt", "value": "1.5341" } ]
[ { "from": "human", "value": "Let h(x) = x + 13. Let a be h(-11). Suppose -a*g - 2326 = -926. What is g rounded to the nearest one thousand?" }, { "from": "gpt", "value": "-1000.0" } ]
[ { "from": "human", "value": "Suppose -5*x - 2*b + 5*b = 128, 0 = -2*x - 3*b - 47. Let h be ((-15)/x - (-1)/(-1))*3875. What is h rounded to the nearest 100?" }, { "from": "gpt", "value": "-1600.0" } ]
[ { "from": "human", "value": "Suppose c - 2*a = -6, 0 = 4*c - 5*a + 3*a + 6. Let y(o) = -o**3 + 3*o**2 + 2*o - 4. Let x be y(3). Let r(q) = q - 3. Let b be r(5). Solve c = -k + b + x for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let k(a) = -6*a**4 + 15*a**3 - 6*a**2 - 69*a - 45. Let z(m) = -7*m**4 + 14*m**3 - 7*m**2 - 68*m - 44. Let c = 3 + 1. Let o(s) = c*k(s) - 3*z(s). Factor o(q)." }, { "from": "gpt", "value": "-3*(q - 4)**2*(q + 1)**2" } ]
[ { "from": "human", "value": "Suppose 29 + 31 = 4*g + 3*y, -4 = -y. Solve 4*l = -g - 0 for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 36 divided by -17?" }, { "from": "gpt", "value": "-36/17" } ]
[ { "from": "human", "value": "Simplify 4 + (sqrt(5) - (sqrt(5) + (sqrt(80)/sqrt(4))/sqrt(4))) + -2." }, { "from": "gpt", "value": "2 - sqrt(5)" } ]
[ { "from": "human", "value": "Suppose 6 = -i - 0*i. Let f(b) = 3*b - 5*b**2 - b**3 + 10 + 3 - 12 + 2*b. What is the units digit of f(i)?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Simplify sqrt(24)/(sqrt(1000)/sqrt(5))." }, { "from": "gpt", "value": "sqrt(3)/5" } ]
[ { "from": "human", "value": "How many minutes are there between 6:25 AM and 9:04 AM?" }, { "from": "gpt", "value": "159" } ]
[ { "from": "human", "value": "Find the common denominator of -11/3518 and 29/4." }, { "from": "gpt", "value": "7036" } ]
[ { "from": "human", "value": "In base 15, what is -2 + 2a?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "What is the closest to -16 in -0.5, -0.3, -7, 0.4?" }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let d = 0.26 - 0.06. What is the nearest to d in 1/4, 2/3, -2?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "What is the a'th term of 9961, 9954, 9943, 9928?" }, { "from": "gpt", "value": "-2*a**2 - a + 9964" } ]
[ { "from": "human", "value": "What comes next: 3570, 7141, 10712, 14283, 17854, 21425?" }, { "from": "gpt", "value": "24996" } ]
[ { "from": "human", "value": "Let k(f) = f**3 - 6*f**2 + 6*f - 1. Let d be k(5). Suppose 1 = d*u - 3. Solve 0 = i - u + 3 for i." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Differentiate 2*b*q**2*w - 47*b*w - 2*q**2*w - 2*q*w + 15*w with respect to b." }, { "from": "gpt", "value": "2*q**2*w - 47*w" } ]
[ { "from": "human", "value": "Divide -60 by 4." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "Expand (-4*q + 5*q - 4*q)*(-9*q - 13*q + 9*q)." }, { "from": "gpt", "value": "39*q**2" } ]
[ { "from": "human", "value": "Which is the closest to 0.1? (a) 52 (b) 1/8 (c) -3 (d) 0.1" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Suppose -4 = -n - t, -4*n = -5*t + 4*t - 1. Suppose -3*c = 4*d - 7*d - 3, -4*c = d + 16. Sort c, n, -1 in descending order." }, { "from": "gpt", "value": "n, -1, c" } ]
[ { "from": "human", "value": "Let m(w) = w**3 - 5*w**2 - 7*w + 9. Let o be m(6). Suppose -2*g + 38 = c + 2*c, 3*g - o*c - 72 = 0. Does 13 divide g?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 1652 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "41" } ]
[ { "from": "human", "value": "Simplify (1 + sqrt(2299) + -4 + sqrt(2299))**2 - (-3*sqrt(2299))**2*5." }, { "from": "gpt", "value": "-94250 - 132*sqrt(19)" } ]
[ { "from": "human", "value": "What is the value of 2 + ((-4 - -3)*-3 - 7)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 14, what is -46 + 3?" }, { "from": "gpt", "value": "-43" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 2 and 11." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Suppose -n = -2 - 2. Determine o, given that -2*o - 7*o**3 + n*o + 3*o**2 + o**3 + 4*o - 3 = 0." }, { "from": "gpt", "value": "-1, 1/2, 1" } ]