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math

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[ { "from": "human", "value": "Let z(q) = 7 - q. Let j be z(-5). Let r = j - 8. Suppose k - 6 = -2*k. Solve -k = 2*b + r for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "260 divided by 13" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Solve -6*l - 14 + 2 = 0 for l." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the cube root of 17325 to the nearest integer?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "Let l be (1 - 3) + 1*6. Suppose -l*x - 4 = -6*u + 2*u, -23 = -2*u - 5*x. Solve 0 = -5*o - 5*z + 5, -u = 2*o - z - 15 for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let -2*t**4/9 - 28*t**3/9 - 38*t**2/9 + 44*t/3 + 16 = 0. What is t?" }, { "from": "gpt", "value": "-12, -3, -1, 2" } ]
[ { "from": "human", "value": "What is the product of -0.062 and -1?" }, { "from": "gpt", "value": "0.062" } ]
[ { "from": "human", "value": "In base 7, what is 13 - -3?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is -7 divided by 45?" }, { "from": "gpt", "value": "-7/45" } ]
[ { "from": "human", "value": "Calculate (-4)/2*17/34." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the p'th term of 2, 3, 16, 47, 102, 187, 308, 471?" }, { "from": "gpt", "value": "p**3 - 6*p + 7" } ]
[ { "from": "human", "value": "What comes next: -11, -8, 5, 34, 85, 164, 277, 430?" }, { "from": "gpt", "value": "629" } ]
[ { "from": "human", "value": "Let t(b) = 4*b**2 + b + 2. Does 10 divide t(2)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Does 57 divide 4689?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let m = -126 - -129. Suppose -8*t - 2/3*t**m - 4*t**2 - 16/3 = 0. Calculate t." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Put 157, 3, 5 in descending order." }, { "from": "gpt", "value": "157, 5, 3" } ]
[ { "from": "human", "value": "Product of 0.289 and 0.57." }, { "from": "gpt", "value": "0.16473" } ]
[ { "from": "human", "value": "Let p(u) be the third derivative of -1/60*u**5 + 0 + 0*u**4 - u**2 + 0*u**3 + 0*u. Let c(j) be the third derivative of j**4/24 - 2*j**2. Give c(p(k))." }, { "from": "gpt", "value": "-k**2" } ]
[ { "from": "human", "value": "Let v = -0.6 + -0.3. Which is bigger: v or -2?" }, { "from": "gpt", "value": "v" } ]
[ { "from": "human", "value": "Let g(q) be the first derivative of -5*q**3/3 - 328. Let d(c) = -91*c. Calculate g(d(f))." }, { "from": "gpt", "value": "-41405*f**2" } ]
[ { "from": "human", "value": "What is twenty-seven halves of a century in decades?" }, { "from": "gpt", "value": "135" } ]
[ { "from": "human", "value": "How many minutes are there between 6:45 AM and 1:45 PM?" }, { "from": "gpt", "value": "420" } ]
[ { "from": "human", "value": "Determine j, given that -j**3/4 - 103*j**2/4 - 51*j/2 = 0." }, { "from": "gpt", "value": "-102, -1, 0" } ]
[ { "from": "human", "value": "Add 6.441 and -0.18." }, { "from": "gpt", "value": "6.261" } ]
[ { "from": "human", "value": "Is 91691 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Rearrange 59*t**2 + 0*t + 0*t - 52*t**2 to the form c*t + n + w*t**2 and give c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate ((-18)/3)/(-6)*(-2)/(-2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify (sqrt(605)/(sqrt(275) - sqrt(11)))/((1*sqrt(35))/sqrt(7))." }, { "from": "gpt", "value": "sqrt(11)/4" } ]
[ { "from": "human", "value": "What is the next term in -21, -41, -63, -87, -113, -141?" }, { "from": "gpt", "value": "-171" } ]
[ { "from": "human", "value": "Calculate 2/(-3)*(0 + 3)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -2*y + 15 = -5*y. Let l = 7 + y. Suppose -l*i - 2*f = -4, 2*i + f - 3 = -0*f. Solve d - i + 3 = 0 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate -2 - ((-3 - -1) + -3) - 3." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let r(a) = a + 6. Let u = 8 - 3. Suppose -84 = -u*b - 29. Calculate the remainder when b is divided by r(0)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Round -31030 to the nearest ten thousand." }, { "from": "gpt", "value": "-30000.0" } ]
[ { "from": "human", "value": "Factor -3*j**3 - 618*j**2 - 31827*j." }, { "from": "gpt", "value": "-3*j*(j + 103)**2" } ]
[ { "from": "human", "value": "What is the o'th term of 79, 120, 207, 364, 615, 984, 1495?" }, { "from": "gpt", "value": "4*o**3 - o**2 + 16*o + 60" } ]
[ { "from": "human", "value": "Let o be 1476/48 - (-2)/8. Differentiate -o*l - 33*l + 68*l - 3 with respect to l." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve 86*u = 78*u - 48 for u." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the product of -0.1 and -11?" }, { "from": "gpt", "value": "1.1" } ]
[ { "from": "human", "value": "Do -86 and -1 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 251033 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "(-12)/40*4/(-6)" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "2 times 303" }, { "from": "gpt", "value": "606" } ]
[ { "from": "human", "value": "Which is bigger: 15923 or 15927?" }, { "from": "gpt", "value": "15927" } ]
[ { "from": "human", "value": "Find the first derivative of 120*o**2*u + 56*o**2 wrt u." }, { "from": "gpt", "value": "120*o**2" } ]
[ { "from": "human", "value": "What is (3 - (6 - 4)) + -4?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Convert -4a (base 14) to base 12." }, { "from": "gpt", "value": "-56" } ]
[ { "from": "human", "value": "Let o = -3 + 21. What is the lowest common multiple of o and (-20)/(-3)*(5 - 2)?" }, { "from": "gpt", "value": "180" } ]
[ { "from": "human", "value": "Let o = 184 + -360. Let h = 120 + o. Let p be (2 - 4) + h/(-30). Which is the smallest value? (a) 2 (b) -3 (c) p" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify (sqrt(2200)*-1)/(sqrt(36)/sqrt(2))." }, { "from": "gpt", "value": "-10*sqrt(11)/3" } ]
[ { "from": "human", "value": "Let g be (-1)/4 + 170/40. Let v = -2 + g. Solve 0 - 3 = l, 0 = -5*p - v*l - 1 for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -2*m + 2 = -0*m. Calculate the smallest common multiple of m and -2*((-9)/(-2))/(-3 + 0)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Find the third derivative of 5*g**4*z**3 - 55*g**4*z - 10*g**2*z**3 - g**2*z**2 + 3*g wrt g." }, { "from": "gpt", "value": "120*g*z**3 - 1320*g*z" } ]
[ { "from": "human", "value": "What is -3 + (-2 - 3) + 0 + 0?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "9 divided by 11" }, { "from": "gpt", "value": "9/11" } ]
[ { "from": "human", "value": "What is the nearest to -1/3 in 5, -0.11, -938?" }, { "from": "gpt", "value": "-0.11" } ]
[ { "from": "human", "value": "What is the cube root of 3 to the nearest integer?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the second smallest value in 0, 3, 8, -2/7, 0.6?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Find the first derivative of -62*m**4 + 14*m*n - 13*n + 10 wrt m." }, { "from": "gpt", "value": "-248*m**3 + 14*n" } ]
[ { "from": "human", "value": "What is ((-1)/1)/((-36)/162)?" }, { "from": "gpt", "value": "9/2" } ]
[ { "from": "human", "value": "Divide -1 by 2020." }, { "from": "gpt", "value": "-1/2020" } ]
[ { "from": "human", "value": "Collect the terms in 4 + 26*o - 4." }, { "from": "gpt", "value": "26*o" } ]
[ { "from": "human", "value": "Let f be 4/14 + (-408)/56. Let j(o) = o**2 + 6*o - 10. Let v be j(f). Let p(l) = l - 3. Let k(q) = q - 5. Give v*k(h) + 5*p(h)." }, { "from": "gpt", "value": "2*h" } ]
[ { "from": "human", "value": "Calculate 2 + 4 + 2 + -8." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 0 = 2*i, 2*s - 109 = s + 3*i. Does 21 divide s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 128 = 3*d + 113 for d." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 3*a = -3*b - 132, 0 = -2*b - 0*b + a - 79. What is the common denominator of -2 - (b/10)/(-1) and -97/8?" }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "What is the remainder when 318 is divided by 93?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "Is 586871 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is -9.4 take away -0.7331?" }, { "from": "gpt", "value": "-8.6669" } ]
[ { "from": "human", "value": "Suppose -2*s + 79 + 45 = 0. Is 8 a factor of s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 7, what is -2224 + -2?" }, { "from": "gpt", "value": "-2226" } ]
[ { "from": "human", "value": "What is 1251100 rounded to the nearest one thousand?" }, { "from": "gpt", "value": "1251000.0" } ]
[ { "from": "human", "value": "Suppose -8*c**5 - 198*c**4 + 1754*c**3 - 3202*c**2 + 1974*c - 320 = 0. What is c?" }, { "from": "gpt", "value": "-32, 1/4, 1, 5" } ]
[ { "from": "human", "value": "Let b = -25 - -26. Let y = 6.5 - 6. What is the biggest value in y, b, -2/9?" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -3*v + 788 = -4*n, -n + 1298 = -2*v + 7*v. Does 52 divide v?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let o = -3803/9 + 423. Is 1 > o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the h'th term of 384, 376, 364, 348, 328, 304, 276?" }, { "from": "gpt", "value": "-2*h**2 - 2*h + 388" } ]
[ { "from": "human", "value": "What is the nearest to 0.1 in 2/11, 0.5, 2, 0?" }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "Let i(l) = 4*l**3 + 3*l**2 - 3*l + 2*l**2 + 10*l. Let m be i(-5). Is m/(-18) + (-4)/(-18) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 3261967493 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -12 = -2*o - o. Suppose -2*y - 4*s - 28 = 0, o*y + y + 4*s + 52 = 0. Let r = -8 - y. Solve 0 = v - 3*g + 19, v + r + 14 = 2*g for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 3*q - 6*q + 12 = 0 for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Factor -x**3/4 + 2*x**2 - 9*x/4 - 9/2." }, { "from": "gpt", "value": "-(x - 6)*(x - 3)*(x + 1)/4" } ]
[ { "from": "human", "value": "Calculate the remainder when 115 is divided by 54." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the common denominator of -1/832 and 109/1170?" }, { "from": "gpt", "value": "37440" } ]
[ { "from": "human", "value": "Let o = 4.09 - 0.09. Let n = 48.8 + -49. What is the closest to n in 5, o, 3/2?" }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "In base 2, what is -1000100 - 1?" }, { "from": "gpt", "value": "-1000101" } ]
[ { "from": "human", "value": "Which is smaller: 111 or 115?" }, { "from": "gpt", "value": "111" } ]
[ { "from": "human", "value": "Four letters picked without replacement from {b: 10}. Give prob of picking 4 b." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 4*r - 9 + 1 = -t, 5*r = 3*t + 10 for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What are the prime factors of 7951?" }, { "from": "gpt", "value": "7951" } ]
[ { "from": "human", "value": "Which is the sixth biggest value? (a) 0 (b) 2 (c) -7 (d) 538 (e) -0.03 (f) 1/4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the closest to -3.8 in 3, -1/4, 0.4, 5?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Solve 27/5 + 3/5*b**2 + 18/5*b = 0 for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let x = 4 - 4. Solve 2*q + 4 + 0 = x for q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let z(t) = 495*t**3 - 11*t**2 + 8*t - 36. Let y be z(9). What is y rounded to the nearest 100000?" }, { "from": "gpt", "value": "400000.0" } ]
[ { "from": "human", "value": "Solve -4*a - 9 = -a for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Which is the nearest to -1? (a) 1/3 (b) 1/5 (c) 8 (d) -1/7" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 290 and 203?" }, { "from": "gpt", "value": "29" } ]