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math

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[ { "from": "human", "value": "Let h be 15/14 - 5/10. What is the closest to 2/3 in 5, -1, h?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Is 77324479 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 5050 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 6 = 3*b - 0*b. Is -1*((-37 - -3) + b) a multiple of 16?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate (-4 - -2) + -3 + 0." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the y'th term of -1130, -2259, -3388, -4517, -5646, -6775?" }, { "from": "gpt", "value": "-1129*y - 1" } ]
[ { "from": "human", "value": "What is the value of -5 - (-10 - -3 - -5)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Put -2/13, -2/7, 4, 3 in increasing order." }, { "from": "gpt", "value": "-2/7, -2/13, 3, 4" } ]
[ { "from": "human", "value": "Let w(b) be the first derivative of -b**4/4 + b**3/3 - b**2 - 4*b + 5. What is the units digit of w(-3)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let y = 27 + -26. Let d be (6/(-60))/(1/2). Which is the closest to y? (a) d (b) 5 (c) -2/7" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let t = 13 + -8. Let k = t - 8. Let n = k - -2. Sort n, -3, -5 in decreasing order." }, { "from": "gpt", "value": "n, -3, -5" } ]
[ { "from": "human", "value": "Let z(j) = 3*j + 2. Let q(x) = x - 9. Let p(y) = 7. Let s(i) = -4. Let u(t) = -4*p(t) - 9*s(t). Let n(l) = 5*q(l) + 6*u(l). Calculate -4*n(w) + 7*z(w)." }, { "from": "gpt", "value": "w + 2" } ]
[ { "from": "human", "value": "Calculate -2535 divided by -5." }, { "from": "gpt", "value": "507" } ]
[ { "from": "human", "value": "Let d = 8 + -7. Suppose r = 2*z - 20, 5*z + 16 = r + 39. Let t = d - r. What are the prime factors of t?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is the value of -4 + (-12 - -3) + 11?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -4 = 3*w - 5*q + 4, -2*w + 1 = 3*q for w." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let a be (-2)/3 - 5962/(-33). Suppose 5*v - 63 - 144 = 4*u, 5*v - a = -5*u. Calculate the remainder when v is divided by 10." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the y'th term of 973, 3909, 8805, 15661?" }, { "from": "gpt", "value": "980*y**2 - 4*y - 3" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 791 and 7." }, { "from": "gpt", "value": "791" } ]
[ { "from": "human", "value": "13*-8" }, { "from": "gpt", "value": "-104" } ]
[ { "from": "human", "value": "Let o = -0.2 + 0.1. Let x = -8.4 - -8.5. Which is the closest to -0.1? (a) x (b) o (c) -2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let q be 38/6 - 1/3. Let i be -115 + (1 - (-6)/3). Let a = i + 178. Calculate the highest common factor of q and a." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Which is smaller: -15 or 6?" }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "What is the next term in 603, 612, 621, 630, 639?" }, { "from": "gpt", "value": "648" } ]
[ { "from": "human", "value": "Is 12 a factor of 53340?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many minutes are there between 11:29 PM and 7:17 AM?" }, { "from": "gpt", "value": "468" } ]
[ { "from": "human", "value": "Suppose 0 = -2*r + r + 18. Calculate the highest common divisor of r and 6." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What comes next: 21, 125, 407, 957, 1865, 3221?" }, { "from": "gpt", "value": "5115" } ]
[ { "from": "human", "value": "Solve -4*i - i = 20 for i." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Rearrange -1 + y**2 + 5*y**4 + 0*y**4 - 4*y + 5*y - y**4 to z*y + j*y**4 + v*y**3 + u + a*y**2 and give u." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -0.4 plus -31226?" }, { "from": "gpt", "value": "-31226.4" } ]
[ { "from": "human", "value": "What is 8959/(-2108) - -1*(-2)/(-8)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the product of 2177 and 5?" }, { "from": "gpt", "value": "10885" } ]
[ { "from": "human", "value": "Sort -1/3, 0, 111/77 in decreasing order." }, { "from": "gpt", "value": "111/77, 0, -1/3" } ]
[ { "from": "human", "value": "Suppose 13 = q - 57. Suppose 30 = r + 4*z, 3*z - 8 = r - 3. Calculate the greatest common divisor of r and q." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Factor -2*n**2/9 + 116*n/9 - 176." }, { "from": "gpt", "value": "-2*(n - 36)*(n - 22)/9" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) -3 (b) -922 (c) 2/9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -3 (b) 3/4 (c) -93 (d) 0.5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Convert 9.579809 weeks to hours." }, { "from": "gpt", "value": "1609.407912" } ]
[ { "from": "human", "value": "Express (27 - 5 + 6)*(-2*r + 3*r + r) - r + 3*r - 4*r as d*r + q and give d." }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "Calculate the common denominator of -1/1116 and 67/868." }, { "from": "gpt", "value": "7812" } ]
[ { "from": "human", "value": "In base 2, what is 101 + -11111010110?" }, { "from": "gpt", "value": "-11111010001" } ]
[ { "from": "human", "value": "Is 282 a multiple of 47?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 1510134 a multiple of 713?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of ((-26)/(-117))/(2*(-1)/15)?" }, { "from": "gpt", "value": "-5/3" } ]
[ { "from": "human", "value": "Let y(f) be the third derivative of f**8/3360 + f**5/60 - f**4/8 - 3*f**2. Let b(v) be the second derivative of y(v). Differentiate b(o) with respect to o." }, { "from": "gpt", "value": "6*o**2" } ]
[ { "from": "human", "value": "Suppose 0*j = -2*j + 6. Suppose 5*z = -4*i + 7, 4*i + j = -2*z + 1. Let c(n) = -n**2 + 6*n + 2. Let k be c(6). Solve 0 = -k*f - z*f - 15 for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let g be (-17)/34*(0 - 38). Solve -1 = -5*o + g for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "0.3 + -548524" }, { "from": "gpt", "value": "-548523.7" } ]
[ { "from": "human", "value": "Let 4*o**5/7 - 52*o**4/7 + 240*o**3/7 - 512*o**2/7 + 512*o/7 - 192/7 = 0. Calculate o." }, { "from": "gpt", "value": "1, 2, 6" } ]
[ { "from": "human", "value": "What is the remainder when 3801 is divided by 28?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Let g(j) = -137*j - 2. Let a(b) = 2*b. What is g(a(k))?" }, { "from": "gpt", "value": "-274*k - 2" } ]
[ { "from": "human", "value": "Let j = 9 - 6. Solve 4*v - 21 = j*m - 8*m, -30 = 5*v - 5*m for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "How many minutes are there between 7:02 AM and 7:52 AM?" }, { "from": "gpt", "value": "50" } ]
[ { "from": "human", "value": "How many milliseconds are there in 0.3301203 days?" }, { "from": "gpt", "value": "28522393.92" } ]
[ { "from": "human", "value": "Divide 0 by -18." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let h(o) be the second derivative of o**3/6 + 3*o**2 - o. Let s be h(0). Let f = 9 - s. Solve 0 = f*u + u + 8 for u." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the remainder when 2458 is divided by 82?" }, { "from": "gpt", "value": "80" } ]
[ { "from": "human", "value": "Let y(a) be the first derivative of -a**5/5 + 2*a**3 + 8. What is the third derivative of y(r) wrt r?" }, { "from": "gpt", "value": "-24*r" } ]
[ { "from": "human", "value": "What is the difference between 0.4 and 7981?" }, { "from": "gpt", "value": "7980.6" } ]
[ { "from": "human", "value": "Calculate -23504 divided by 5876." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 7, what is -103343 + 0?" }, { "from": "gpt", "value": "-103343" } ]
[ { "from": "human", "value": "Simplify ((6*(sqrt(110) - (2*sqrt(110) + sqrt(110))))/(2*sqrt(160)))**2." }, { "from": "gpt", "value": "99/4" } ]
[ { "from": "human", "value": "Calculate -15.337 + 1.6." }, { "from": "gpt", "value": "-13.737" } ]
[ { "from": "human", "value": "Solve 0 = -3*j + 2*j + 4*h - 19, 5*j + 5*h = 5 for j." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 9407 and 23." }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Let y(z) be the third derivative of -1/105*z**7 + 0*z**3 - 1/15*z**5 + 0 + 0*z + 0*z**4 + 0*z**6 - 4*z**2. Find the third derivative of y(q) wrt q." }, { "from": "gpt", "value": "-48*q" } ]
[ { "from": "human", "value": "How many minutes are there between 6:25 AM and 7:27 AM?" }, { "from": "gpt", "value": "62" } ]
[ { "from": "human", "value": "Let m = 0.1 + 3.9. Let f = -4 + 2. Which is the nearest to -2/3? (a) -3 (b) m (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 15, what is -1 - 0?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let r = -178 - -179. Let u = -0.3 - -2.3. What is the third smallest value in -0.2, u, r?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Divide 820 by 2." }, { "from": "gpt", "value": "410" } ]
[ { "from": "human", "value": "0.9 + -218597" }, { "from": "gpt", "value": "-218596.1" } ]
[ { "from": "human", "value": "Solve 6*r = r - 3*r for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let z be 15/4 - 9/(-36). Suppose 2*k - k = -u + 4, u = z*k - 6. Solve 4*n + 2 = -k for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Sort 0, -1/9, 0.17." }, { "from": "gpt", "value": "-1/9, 0, 0.17" } ]
[ { "from": "human", "value": "What is the remainder when 143 is divided by 24?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "What is the remainder when 704 is divided by 2?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 5.56587 kilometers in millimeters?" }, { "from": "gpt", "value": "5565870" } ]
[ { "from": "human", "value": "Let w(x) = -x - 5. Suppose 3*j = -6*j. Calculate w(j)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the u'th term of 165, -7, -281, -651, -1111, -1655?" }, { "from": "gpt", "value": "u**3 - 57*u**2 - 8*u + 229" } ]
[ { "from": "human", "value": "3b (base 15) to base 3" }, { "from": "gpt", "value": "2002" } ]
[ { "from": "human", "value": "Solve 3*l + 3*j + 5 = -16, -3*j - 13 = l for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Multiply -17 and -4." }, { "from": "gpt", "value": "68" } ]
[ { "from": "human", "value": "Let m(y) = 2*y - 103. Let z(t) = -2*t. Calculate z(m(p))." }, { "from": "gpt", "value": "206 - 4*p" } ]
[ { "from": "human", "value": "Solve -j - 45 = -10*j for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 1 and 78." }, { "from": "gpt", "value": "78" } ]
[ { "from": "human", "value": "Let d(z) = 2*z**3 + 16*z**2 + 16*z + 2. Let p(v) = v**2 + v. Let c be 2/3*(-3)/(-2). Let q(n) = c*d(n) - 10*p(n). Suppose q(r) = 0. Calculate r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is smaller: -2/57151 or -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let l(o) be the third derivative of -o**5/60 - o**4/24 + o**3/3 + 3*o**2. Let q be l(-2). Suppose 2*b - 16 = -q*b. What is the units digit of b?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let o(p) = 49*p - 11. Is o(10) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many minutes are there between 11:17 AM and 4:19 PM?" }, { "from": "gpt", "value": "302" } ]
[ { "from": "human", "value": "What is the derivative of 6*g - 6*g + g**4 - 5 + 5*g**4 wrt g?" }, { "from": "gpt", "value": "24*g**3" } ]
[ { "from": "human", "value": "Suppose -12/5 + 12/5*f**2 - 6/5*f + 6/5*f**3 = 0. Calculate f." }, { "from": "gpt", "value": "-2, -1, 1" } ]
[ { "from": "human", "value": "Suppose 3 = 2*k - 7. Suppose j + k = 26. What is the units digit of j?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let y(c) be the third derivative of -6*c**2 + 0*c**3 + 1/24*c**4 + 1/30*c**5 + 2/105*c**7 - 7/120*c**6 + 0 + 0*c. Determine s, given that y(s) = 0." }, { "from": "gpt", "value": "-1/4, 0, 1" } ]
[ { "from": "human", "value": "Find the second derivative of -34*g**5 - 2*g**2 + g - 3." }, { "from": "gpt", "value": "-680*g**3 - 4" } ]
[ { "from": "human", "value": "Evaluate -3*((-161)/21 - -11)." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Let y be (-40)/(-126) + 72/126. What is the closest to y in 0, -1, -2/11?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -5*t - 22 = -h, 6*t - h - 14 = 10*t for t." }, { "from": "gpt", "value": "-4" } ]