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[ { "from": "human", "value": "Solve 3*x = -8*x + 7*x - 0*x - s, 3*x + 0*x = -x - 4*s for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let l(q) = q - 2*q - q + 0*q. Let j be l(-9). Solve j - 3 = 3*c for c." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is u in -u**2/7 - 10984*u/7 - 30162064/7 = 0?" }, { "from": "gpt", "value": "-5492" } ]
[ { "from": "human", "value": "Simplify (-1*sqrt(125)*-5)**2." }, { "from": "gpt", "value": "3125" } ]
[ { "from": "human", "value": "Evaluate (0 - 18/84)/(2/7)." }, { "from": "gpt", "value": "-3/4" } ]
[ { "from": "human", "value": "Is 21347 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -5 + 10 = 5*b. Calculate the highest common factor of 1 and b." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve -152 + 86 = -11*x for x." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sort -5, -44, -4, -2, 3 in descending order." }, { "from": "gpt", "value": "3, -2, -4, -5, -44" } ]
[ { "from": "human", "value": "Let n(p) = -4*p. Let c(g) = g. Let s(u) = -3*c(u) - n(u). Let y(m) = 2*m. Calculate s(y(j))." }, { "from": "gpt", "value": "2*j" } ]
[ { "from": "human", "value": "Let j = -3 + 5. Let s = -3 - -3. Suppose 0 = -f - s*f. Put -5, f, j in descending order." }, { "from": "gpt", "value": "j, f, -5" } ]
[ { "from": "human", "value": "Suppose l = 2*s - 62, s + 0*s + l - 28 = 0. Suppose -2*u + s = 3*u. Solve -u = o - 1 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let q(v) = -v**2 - 5*v + 1. Let a be q(-4). Suppose 40 = 2*t - 5*z, -71 - 29 = -5*t + a*z. What is the highest common divisor of 20 and t?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let b(m) be the first derivative of 2/3*m**3 + 7/9*m**2 + 2/45*m**5 + 4/9*m + 3 + 5/18*m**4. Factor b(k)." }, { "from": "gpt", "value": "2*(k + 1)**3*(k + 2)/9" } ]
[ { "from": "human", "value": "Let h = -6 + 8. Let q = 0 - -3. Solve n = -h*n - q for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 0/((6/1)/((-60)/(-30)))?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n(h) be the second derivative of h**4/6 + 8*h. Solve n(s) = 0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate -7 + (7 - -10) + -5." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify 4 + sqrt(396) + sqrt(396) + sqrt(396) + 0." }, { "from": "gpt", "value": "4 + 18*sqrt(11)" } ]
[ { "from": "human", "value": "Calculate 3523*0.08." }, { "from": "gpt", "value": "281.84" } ]
[ { "from": "human", "value": "Factor -6*d + 421 - 3*d**2 - 849 + 425." }, { "from": "gpt", "value": "-3*(d + 1)**2" } ]
[ { "from": "human", "value": "Suppose 2*a - 62 = -4*h, -5*h = 2*a - 3*a - 74. Let m be (3/(-6))/(1/(-8)). Suppose 0 = -m*g - g + 215. Calculate the remainder when g is divided by h." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Find the second derivative of -68*t**5*u - 4*t**3*u + 4*t**3 - 185*t*u + 12*t wrt t." }, { "from": "gpt", "value": "-1360*t**3*u - 24*t*u + 24*t" } ]
[ { "from": "human", "value": "Suppose -3 = 6*q - 3*q. Let w be q/(-3)*(-84)/(-4). Solve -9 = 4*a - w*a for a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose -144 = -2*v + 98. Calculate the remainder when v is divided by 31." }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "(-7 - -2 - 1) + -2" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Is 76753 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Collect the terms in -32*q**2 + 124*q**2 - 28*q**2 - 32*q**2 - 35*q**2." }, { "from": "gpt", "value": "-3*q**2" } ]
[ { "from": "human", "value": "Let q be (32/(-10))/((-70)/25 + 3). Let z be 2/q + 184/(-64). Is z at least -2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let o = 15 - 8. Calculate the lowest common multiple of o and 3." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is 36 minutes after 8:39 PM?" }, { "from": "gpt", "value": "9:15 PM" } ]
[ { "from": "human", "value": "Is -1 not equal to -91?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -355*p + 22104 - 10924 + 11724 = 54*p for p." }, { "from": "gpt", "value": "56" } ]
[ { "from": "human", "value": "-36 times 9" }, { "from": "gpt", "value": "-324" } ]
[ { "from": "human", "value": "Let f = -4 - -8. Let p = -2181/5 - -436. Which is the closest to -1? (a) p (b) f (c) 0.4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose 2*x - 6*x = 4. What is the remainder when ((-30)/3)/(1/x) is divided by 1 - -2 - (-16 - -16)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -5*o + 2*r = -23, 3*o - r = o + 10. Suppose -o*i - 9 = -d + 10, 29 = 2*d - 3*i. What is the units digit of d?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 2*w = -4*f + 58, -8*w + 36 = 3*f - 4*w. Let q = 20 - f. Solve 4*z - z = -q*y + 22, 5*y - 14 = 3*z for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 640 and 10624." }, { "from": "gpt", "value": "128" } ]
[ { "from": "human", "value": "What is (15/12)/(-5)*(-400)/(-550)?" }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Let y(c) = c + 3. Let m be y(2). Let w(o) = 5 - m - o. Let d be -6*(5 + -6) - 9. What is w(d)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the common denominator of (-8)/6*(-21655)/4260 and 974/88 + (-8)/(-44)?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Suppose 4*m - 35 = -3*k, 0*k + m + 27 = 2*k. Suppose n + 4*a + 1 + k = 0, -19 = n + 5*a. Let z = -2 + n. Solve z*q = -3*w - q, 3*w = -3*q - 6 for w." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let u(t) = -t**5 + 3*t**4 - 4*t**3. Let c(o) = -3*o**5 + 12*o**4 - 15*o**3. Let f(w) = -4*c(w) + 15*u(w). Solve f(a) = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Is -96 less than or equal to 1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the third derivative of 225*o**3*q**4 - 25*o**3*q**2 + 17*q**5 - 98*q**2 wrt q?" }, { "from": "gpt", "value": "5400*o**3*q + 1020*q**2" } ]
[ { "from": "human", "value": "What is 1323 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let m(t) = 4*t**2 - 8*t - 4. Is m(-3) a multiple of 17?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 5149 divided by -19." }, { "from": "gpt", "value": "-271" } ]
[ { "from": "human", "value": "What is the x'th term of -2625417, -2625533, -2625649, -2625765, -2625881?" }, { "from": "gpt", "value": "-116*x - 2625301" } ]
[ { "from": "human", "value": "Let h(o) = 60*o**4 + 6*o**3 + 10*o - 894. Let w(x) = -119*x**4 - 11*x**3 - 19*x + 1788. Let f(m) = 11*h(m) + 6*w(m). Find the first derivative of f(j) wrt j." }, { "from": "gpt", "value": "-216*j**3 - 4" } ]
[ { "from": "human", "value": "What is the r'th term of 385, 782, 1193, 1624, 2081?" }, { "from": "gpt", "value": "r**3 + r**2 + 387*r - 4" } ]
[ { "from": "human", "value": "What is the closest to 0 in 3/7, -14.2, 2, -3?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Let q(w) = w**2 + 14*w + 29. Let v be q(-12). Solve -3 = v*l + 3*j, -3*l + 3 = -l - 3*j for l." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Convert 161 (base 9) to base 4." }, { "from": "gpt", "value": "2020" } ]
[ { "from": "human", "value": "Work out -0.16126 + -30." }, { "from": "gpt", "value": "-30.16126" } ]
[ { "from": "human", "value": "Let t(o) = 8 - o. Let u be t(5). Let i be (1 + 10/(-4))*-12. Solve -u*y + 2 = m - 4*y, -i = -m + 5*y for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the value of (-12 - -17)*3/45?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "0.174*0.2" }, { "from": "gpt", "value": "0.0348" } ]
[ { "from": "human", "value": "Let u(q) be the second derivative of q**6/90 + q**5/12 - 7*q**4/36 - 5*q**3/18 + q**2 + 13*q + 3. Factor u(s)." }, { "from": "gpt", "value": "(s - 1)**2*(s + 1)*(s + 6)/3" } ]
[ { "from": "human", "value": "What is the hundreds digit of 618?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 5*b - 8 = 3*v - v, 0 = 3*v + 3*b + 33. Let k = 5 + v. Let z(l) = l**2 + 4*l + 4. What is the units digit of z(k)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -z + 1 = -4*n, -28 = -5*z - 4*n + 1. Suppose 54 = z*u - 2*q, q = -2*u - 2*q + 14. Is u at most 11?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -41 = 4*q - 21 for q." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Calculate -42 divided by -3." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Which is bigger: 14/5 or -133?" }, { "from": "gpt", "value": "14/5" } ]
[ { "from": "human", "value": "Solve 5*z = -25, 5*m + 6*z - 5 = 11*z for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let d = -5 - -5. Let x = d + -1.1. Let s = -0.74 - x. Round s to one decimal place." }, { "from": "gpt", "value": "0.4" } ]
[ { "from": "human", "value": "Solve 6*u = 1 - 7 for u." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 568 minutes after 2:29 PM?" }, { "from": "gpt", "value": "11:57 PM" } ]
[ { "from": "human", "value": "What is the value of -18*315/(-2430)*-30?" }, { "from": "gpt", "value": "-70" } ]
[ { "from": "human", "value": "Let j be ((-26)/65)/((-1)/5). Solve 0 = -j*n + 10, 29 = -i + 7*n - 2*n for i." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What comes next: 3459, 3460, 3461, 3462, 3463?" }, { "from": "gpt", "value": "3464" } ]
[ { "from": "human", "value": "What is the a'th term of 4, 2, 0, -2, -4, -6?" }, { "from": "gpt", "value": "6 - 2*a" } ]
[ { "from": "human", "value": "Calculate ((-5)/(-3))/(28/84)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let j = -3087.1 + 2956. Let u = 124 + j. What is u rounded to the nearest integer?" }, { "from": "gpt", "value": "-7.0" } ]
[ { "from": "human", "value": "Let v(r) be the first derivative of 1/3*r**6 + 20/3*r**3 + 5*r**2 + 2*r**5 - 2 + 5*r**4 + 2*r. Suppose v(x) = 0. What is x?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is smaller: 16.6 or -1/13?" }, { "from": "gpt", "value": "-1/13" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) -4 (b) 2 (c) 7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the eighth root of 8348 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -29*r = -35*r - 30 for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Total of 6 and -209." }, { "from": "gpt", "value": "-203" } ]
[ { "from": "human", "value": "Let r be 4*2/2*1. Suppose 0 = -2*k + 3*l - 16, -k - 3*k = r*l + 12. Let s be (-2)/11 - (-4)/22. Sort s, k, -2." }, { "from": "gpt", "value": "k, -2, s" } ]
[ { "from": "human", "value": "What is (-4)/3 + 58/(-87)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose 0 = -m - 4 + 170. Is m composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Work out 0.1655 * 0.4." }, { "from": "gpt", "value": "0.0662" } ]
[ { "from": "human", "value": "Calculate 0 + (-6 - -6) - -8." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let y(g) = 2 - 36*g. What are the prime factors of y(-1)?" }, { "from": "gpt", "value": "2, 19" } ]
[ { "from": "human", "value": "What is -9 take away 17.2596445095?" }, { "from": "gpt", "value": "-26.2596445095" } ]
[ { "from": "human", "value": "Calculate 11140*0.1." }, { "from": "gpt", "value": "1114" } ]
[ { "from": "human", "value": "Which is smaller: -84 or -97?" }, { "from": "gpt", "value": "-97" } ]
[ { "from": "human", "value": "Round -1673392 to the nearest 100000." }, { "from": "gpt", "value": "-1700000.0" } ]
[ { "from": "human", "value": "Solve 4*d - 123 = -131 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let m(b) be the first derivative of -2*b**3/27 + b**2/9 - 13. Determine r, given that m(r) = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Which is smaller: -350 or 0.1?" }, { "from": "gpt", "value": "-350" } ]
[ { "from": "human", "value": "Let l(a) = -a**2 + 2*a + 1. Let j be l(-1). Let x = 2 - j. Suppose -3*b + 4*r + 53 = -0*r, -b = -x*r - 31. What are the prime factors of b?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Solve -u - 5*g - 10 = 10, 0 = 2*u + g - 5 for u." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Is -10 at least as big as -0.3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 2, what is 11111101 - -100?" }, { "from": "gpt", "value": "100000001" } ]
[ { "from": "human", "value": "What is -0.1 times -0.0508?" }, { "from": "gpt", "value": "0.00508" } ]