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[ { "from": "human", "value": "Suppose 3*z + 2*z + 3*t - 11 = 0, -3*z + 3*t + 21 = 0. Suppose 0 = 2*w - 6 - z. Suppose 5*v - 95 = -90. Solve -f - 2*b - 3 - v = 0, 20 = -w*f + 5*b for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the fourth biggest value in -3, -0.3, -2/15, -1277, 4?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 9153 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Suppose -3*q - 7 + 22 = 0. Let c = q - 2. Suppose 4*a + a - 73 = -2*i, a - 4*i = -c. Is a prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 3*x = -115 + 103 for x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Four letters picked without replacement from whquxxxxxhxwh. What is prob of picking 1 x, 1 w and 2 h?" }, { "from": "gpt", "value": "36/715" } ]
[ { "from": "human", "value": "What is the fifth root of 2935 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose u = -2 + 4. Let s = -66.7 - -67. What is the closest to -1 in u, -0.03, s?" }, { "from": "gpt", "value": "-0.03" } ]
[ { "from": "human", "value": "Factor 2*k**4 - 4*k**3 - 6*k**2 + 16*k - 8." }, { "from": "gpt", "value": "2*(k - 2)*(k - 1)**2*(k + 2)" } ]
[ { "from": "human", "value": "Let x(d) = 8 - 4 - 10*d + 7 - d**3 - 12*d**2 + 0. Let f be x(-11). Suppose 5*r + 4*p = 265, f*p + 2*p - 157 = -3*r. Is 18 a factor of r?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor -2*v**2/17 - 46*v/17 + 48/17." }, { "from": "gpt", "value": "-2*(v - 1)*(v + 24)/17" } ]
[ { "from": "human", "value": "In base 13, what is -4808 + 2?" }, { "from": "gpt", "value": "-4806" } ]
[ { "from": "human", "value": "Let k = 18 + -15. Solve g + 2*w = -k*w - 17, -2*g - w = 7 for g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 9, what is 624633 + 3?" }, { "from": "gpt", "value": "624636" } ]
[ { "from": "human", "value": "Solve 111*p**2/4 - 69*p/8 - 153/8 = 0 for p." }, { "from": "gpt", "value": "-51/74, 1" } ]
[ { "from": "human", "value": "Do 0.4 and 0.247 have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the tens digit of 1426?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third derivative of -39*f**3*k**3 + f**3*k - 390*f**2*k**3 wrt f?" }, { "from": "gpt", "value": "-234*k**3 + 6*k" } ]
[ { "from": "human", "value": "Is -21/5 greater than -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Divide 26069 by -1." }, { "from": "gpt", "value": "-26069" } ]
[ { "from": "human", "value": "-3244 times 0" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is -131 less than 0.2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 13, what is 5 - -4?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let d = 1/53 + 154/265. Factor -d*j**2 + 0*j + 3/5*j**3 + 0." }, { "from": "gpt", "value": "3*j**2*(j - 1)/5" } ]
[ { "from": "human", "value": "Suppose 8*l + 14 = 30. Let k(f) = 2*f**2 - 4*f - 17. Let x be k(7). Suppose 4*t - a = 197, 2*a = t - l*a - x. What is the remainder when t is divided by 19?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let a = 55 + -55. Solve -j + 4*j + 6 = a for j." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let d be 27/18 + (-2)/(-4). Factor -2*k**2 + k**d + 4*k + 0*k**2 - 4." }, { "from": "gpt", "value": "-(k - 2)**2" } ]
[ { "from": "human", "value": "Simplify (3 + -3*sqrt(720) - (sqrt(720) - 3*2*sqrt(720)))**2." }, { "from": "gpt", "value": "144*sqrt(5) + 2889" } ]
[ { "from": "human", "value": "What is 8/(-7)*(-16)/(-32)?" }, { "from": "gpt", "value": "-4/7" } ]
[ { "from": "human", "value": "What is 75539.4 nanometers in kilometers?" }, { "from": "gpt", "value": "0.0000000755394" } ]
[ { "from": "human", "value": "What is 88182 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "297" } ]
[ { "from": "human", "value": "Let v be 5/2*1/10. Let w(g) = 2*g + 1. Let k be w(-3). Let n = -9 - k. Which is the second smallest value? (a) n (b) v (c) -0.2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 1*(145/(-10)*1*-4)/2?" }, { "from": "gpt", "value": "29" } ]
[ { "from": "human", "value": "Let j = -0.76 + -0.14. Let y = 0.1 - j. Let t = -3 + 1. Which is the second smallest value? (a) t (b) y (c) 1/6" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 155.3 take away 0.5?" }, { "from": "gpt", "value": "154.8" } ]
[ { "from": "human", "value": "Let j(w) = w**3 - 6*w**2 + 3*w + 2. Let q be j(6). Suppose 3*x + x = 0. Suppose -5*m + 0*m + q = x. Solve -n + 2*n = -m for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let w = -652 - -652. Factor 0*g**4 + 0 + w*g**2 + 1/4*g**5 + 1/4*g - 1/2*g**3." }, { "from": "gpt", "value": "g*(g - 1)**2*(g + 1)**2/4" } ]
[ { "from": "human", "value": "Find the first derivative of -m**3*z + 64*m - 1659*z wrt m." }, { "from": "gpt", "value": "-3*m**2*z + 64" } ]
[ { "from": "human", "value": "Calculate 10 - (7 - (2 + -4 + 4))." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let p(f) = -4*f**2 - 7*f - 2. Let n(z) = 25*z**2 + z - 1. Let a be n(1). Let h = -19 + a. Let w(b) = b**2 + b + 3*b - 3*b + 0*b**2. Determine h*w(c) + p(c)." }, { "from": "gpt", "value": "2*c**2 - c - 2" } ]
[ { "from": "human", "value": "Factor g**3/3 + 8*g**2/3 - 20*g/3." }, { "from": "gpt", "value": "g*(g - 2)*(g + 10)/3" } ]
[ { "from": "human", "value": "Let w = -7.88 + 9.781. Let f = -0.099 - w. Which is the second smallest value? (a) -1 (b) 1/3 (c) f (d) -3/4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Sort 0.2, 0, -1/2, 5 in increasing order." }, { "from": "gpt", "value": "-1/2, 0, 0.2, 5" } ]
[ { "from": "human", "value": "Simplify sqrt(27)/(-6*sqrt(36)/sqrt(4))." }, { "from": "gpt", "value": "-sqrt(3)/6" } ]
[ { "from": "human", "value": "Solve k - 3*k = -5*t - 31, k = 2*t + 13 for k." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 4, what is -300 + -222?" }, { "from": "gpt", "value": "-1122" } ]
[ { "from": "human", "value": "Let y be 2*(2/((-1)/(-1)))/(-22). What is the closest to 0.1 in -7, y, -0.3?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "What is the square root of 503 to the nearest integer?" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 410 and 70?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Subtract -254.1 from 6." }, { "from": "gpt", "value": "260.1" } ]
[ { "from": "human", "value": "Is -177 at least -177?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the tens digit of 1781?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Evaluate -5 + -2 + 4 - (1 + -2)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 10*r - 4 = 9*r for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the highest common divisor of 63 and 49?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "702/(-2288) + (-2)/(-16)" }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Let t(n) be the second derivative of -n**4/30 - 4*n**3/15 - 4*n**2/5 - 10*n. Solve t(c) = 0 for c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let p be (-12)/3 + 3 - -4. Let x be 0*(-2)/(2*2). Suppose -p*k + 6*k = x. Solve 0 = -4*i + 4 - k for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let n be (-9171)/165 + (-2)/(-11). Let t = n + 55. Let r be (-2 - (-12)/5)*1. Which is the nearest to 1? (a) t (b) -4 (c) r" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 2, what is -110011 + 1110?" }, { "from": "gpt", "value": "-100101" } ]
[ { "from": "human", "value": "Is 133 a factor of 79279305?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Does 5 divide 275?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let l(n) = 1 - n. Let b(q) = 2*q - 6. Let i(z) = b(z) + 6*l(z). Let r(t) be the first derivative of t**3/3 + 16. Calculate r(i(y))." }, { "from": "gpt", "value": "16*y**2" } ]
[ { "from": "human", "value": "Suppose 0 = -k + 5*k - 8. Suppose -2*j - 4*s = -24, 0 = -j + k*s - 14 + 6. Suppose 0 = 6*r - r - 5. Solve 3 = -x - 4*v, -j*x - 5*v + r = 4 for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -9 = -h + 5. Suppose 2*z = -q - 0*z + 60, -4*q + 3*z = -218. Suppose q = 5*v - 24. Calculate the lowest common multiple of h and v." }, { "from": "gpt", "value": "112" } ]
[ { "from": "human", "value": "Let k = 4 - 1. Suppose 5*d = k*x + 7, -2*x = -5*d - 0*d + 8. Let j = x + 17. Is 7 a factor of j?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let c = 1 + -1.2. Let r = -30 - -30.94. Let a = -0.06 - r. What is the nearest to a in 0, -1, c?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let g(p) = -p**2 + p - 6. Let m(w) = -3*w**2 + 2*w - 17. Determine -11*g(f) + 4*m(f)." }, { "from": "gpt", "value": "-f**2 - 3*f - 2" } ]
[ { "from": "human", "value": "Let j = -17 + 31. Suppose 0 = -2*z + 5*n + j, -z + 4*z = -3*n. Factor -f**z + 2*f - 2*f." }, { "from": "gpt", "value": "-f**2" } ]
[ { "from": "human", "value": "Let n(t) = 3*t**3 - 15*t - 21*t + 38*t. Let u(y) = -4*y**3 - 3*y. Calculate 8*n(j) + 5*u(j)." }, { "from": "gpt", "value": "4*j**3 + j" } ]
[ { "from": "human", "value": "What is the j'th term of -29, -62, -95, -128, -161?" }, { "from": "gpt", "value": "4 - 33*j" } ]
[ { "from": "human", "value": "How many minutes are there between 10:24 PM and 10:49 PM?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Let c(p) be the first derivative of p**6/18 + 2*p**5/5 + p**4/2 - 16*p**3/9 - 5*p**2/2 + 6*p + 24. Find f, given that c(f) = 0." }, { "from": "gpt", "value": "-3, -2, 1" } ]
[ { "from": "human", "value": "What is the highest common divisor of 1616 and 32?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let h be (1 - 18/10)*-15. Let b be (-5 - -9)*(2 + -1). Suppose -2*x = -3*k - 12, 3*k = x - b*x - h. What is the closest to x in 2, 1/2, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the h'th term of 87, 84, 75, 60, 39, 12?" }, { "from": "gpt", "value": "-3*h**2 + 6*h + 84" } ]
[ { "from": "human", "value": "Subtract 179 from -0.3." }, { "from": "gpt", "value": "-179.3" } ]
[ { "from": "human", "value": "What is the difference between -2 and -1983?" }, { "from": "gpt", "value": "1981" } ]
[ { "from": "human", "value": "Suppose 2*v - 5*v = -2*z + 63, -4*z + 4*v + 120 = 0. Solve -6*k = -3*k + 5*p + 10, -5*k + 2*p - z = 0 for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -3 (b) 3 (c) -49" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Find w, given that -w**3/5 + 62*w**2 - 23712*w/5 - 48672/5 = 0." }, { "from": "gpt", "value": "-2, 156" } ]
[ { "from": "human", "value": "In base 5, what is 10 + -302?" }, { "from": "gpt", "value": "-242" } ]
[ { "from": "human", "value": "Convert -28 (base 10) to base 3." }, { "from": "gpt", "value": "-1001" } ]
[ { "from": "human", "value": "In base 3, what is -1000 - 2012?" }, { "from": "gpt", "value": "-10012" } ]
[ { "from": "human", "value": "Is 437449487 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Put -3, 0.05, 3 in ascending order." }, { "from": "gpt", "value": "-3, 0.05, 3" } ]
[ { "from": "human", "value": "Let j(t) be the third derivative of t**7/2415 - t**6/460 + t**5/230 - t**4/276 - 5*t**2. Factor j(l)." }, { "from": "gpt", "value": "2*l*(l - 1)**3/23" } ]
[ { "from": "human", "value": "Calculate -3 + 4 + -1 - 3." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 11, what is 712 - 17?" }, { "from": "gpt", "value": "6a6" } ]
[ { "from": "human", "value": "-43 (base 5) to base 8" }, { "from": "gpt", "value": "-27" } ]
[ { "from": "human", "value": "Collect the terms in 2*y**3 - 28*y**3 + 2*y**3." }, { "from": "gpt", "value": "-24*y**3" } ]
[ { "from": "human", "value": "Solve -5*n - 5*p = -5, 2 - 9 = 3*n + p for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 371 minutes after 1:49 PM?" }, { "from": "gpt", "value": "8:00 PM" } ]
[ { "from": "human", "value": "Calculate 2*-0.94." }, { "from": "gpt", "value": "-1.88" } ]
[ { "from": "human", "value": "Solve 0 = 1110*k - 1108*k + 4 for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y = 105 - 170. Let t = y - -298. Is t a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let d(h) = -h - 4. Let g be d(-5). Let x be -1 - -3 - g/1. What is the derivative of x + 0 + 3*a**4 - 5*a**4 wrt a?" }, { "from": "gpt", "value": "-8*a**3" } ]
[ { "from": "human", "value": "What is the derivative of 2*x - 16*x**2 + 5*x**4 + 16*x**2 - 51 wrt x?" }, { "from": "gpt", "value": "20*x**3 + 2" } ]
[ { "from": "human", "value": "Convert 0.2997731ng to tonnes." }, { "from": "gpt", "value": "0.0000000000000002997731" } ]
[ { "from": "human", "value": "Let w be ((-16)/5)/((-2)/10). Suppose -4*q + 0 = u - 8, 2*u + 5*q - w = 0. List the prime factors of u." }, { "from": "gpt", "value": "2" } ]