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[ { "from": "human", "value": "Round -3127 to the nearest 1000." }, { "from": "gpt", "value": "-3000.0" } ]
[ { "from": "human", "value": "Let y(b) be the second derivative of 2*b**7/21 + 4*b**6/15 - 2*b**5/5 - 8*b**4/3 - 14*b**3/3 - 4*b**2 - 5*b. Determine t, given that y(t) = 0." }, { "from": "gpt", "value": "-1, 2" } ]
[ { "from": "human", "value": "Suppose 2*v = 5*v - 36. Let u be ((-12)/10)/((-30)/700). Solve 5*f = -n - u, -3*f + 0*n = -n + v for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the difference between -5 and -21006?" }, { "from": "gpt", "value": "21001" } ]
[ { "from": "human", "value": "In base 4, what is 11310322 + 0?" }, { "from": "gpt", "value": "11310322" } ]
[ { "from": "human", "value": "Let u(l) = 2 - 4 - l - 3 + 0. Let d be u(-8). What is q in 0*q**d - 4/7*q - 6/7*q**2 + 0 + 2/7*q**4 = 0?" }, { "from": "gpt", "value": "-1, 0, 2" } ]
[ { "from": "human", "value": "Let 243*s**5/5 - 864*s**4 - 10404*s**3/5 - 7824*s**2/5 - 384*s = 0. Calculate s." }, { "from": "gpt", "value": "-8/9, -2/3, 0, 20" } ]
[ { "from": "human", "value": "Is 100739 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 4*z = -0*z + 128. Calculate the remainder when 79 is divided by z." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "What is the k'th term of 1166, 1167, 1168, 1169, 1170?" }, { "from": "gpt", "value": "k + 1165" } ]
[ { "from": "human", "value": "Evaluate 2/(26/(-65) - 8/5)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let z = 0.23 + -0.13. What is the smallest value in 5, -2, z?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let s(d) = 3*d**3 + 14*d**2 + 36*d + 20. Let k(b) = -b**2 - 1. Let h(a) = -4*k(a) + s(a). Factor h(i)." }, { "from": "gpt", "value": "3*(i + 2)**3" } ]
[ { "from": "human", "value": "What is the y'th term of -444, -893, -1344, -1797?" }, { "from": "gpt", "value": "-y**2 - 446*y + 3" } ]
[ { "from": "human", "value": "What is the d'th term of -13, -54, -203, -526, -1089, -1958?" }, { "from": "gpt", "value": "-11*d**3 + 12*d**2 - 14" } ]
[ { "from": "human", "value": "What is the closest to 0 in 0.1, 0.26, 0, 4?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let m be 18/(-4)*(-1)/(24/16). Solve -2*q = -q + m for q." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Collect the terms in 94 - 5*b - 94 + 0*b." }, { "from": "gpt", "value": "-5*b" } ]
[ { "from": "human", "value": "Divide 2859 by -953." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -3*f + 8*f - 35 = 0. Let u = f - 5. What is the third derivative of 6*b**5 - 9*b**5 + 3*b**2 + b**u wrt b?" }, { "from": "gpt", "value": "-180*b**2" } ]
[ { "from": "human", "value": "Suppose 13*w - 420 = -2*w. Calculate the greatest common factor of w and 7." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Suppose -5*p = -0*p - 4*j - 594, -5*p = j - 614. What is p rounded to the nearest 10?" }, { "from": "gpt", "value": "120.0" } ]
[ { "from": "human", "value": "-9 - (3 - (15 - 9))" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let j = 0.8 + -1.2. Let h = j + -0.1. Let w = -3 + 2.8. Which is the closest to w? (a) 3/2 (b) -4/3 (c) h" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is 7423 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: 975, 965, 943, 903, 839, 745?" }, { "from": "gpt", "value": "615" } ]
[ { "from": "human", "value": "13/(-4) - (-35)/28" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -61*m = 48*m - 1195 - 1857 for m." }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "What is the hundreds digit of 75999?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "How many centuries are there in seven halves of a millennium?" }, { "from": "gpt", "value": "35" } ]
[ { "from": "human", "value": "What is the j'th term of -176, -177, -178?" }, { "from": "gpt", "value": "-j - 175" } ]
[ { "from": "human", "value": "Suppose -4*j - 4 = -t, -t + 3*j + 0 = -4. Solve 8 + 4 = t*i for i." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the y'th term of -28, -32, -36, -40?" }, { "from": "gpt", "value": "-4*y - 24" } ]
[ { "from": "human", "value": "What is the fourth biggest value in 1/5, -1/6, 5, -0.1, 0.4?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "What is 7098 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 4 = -h + 5. Which is the smallest value? (a) h (b) 23 (c) 0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 5 and 160." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the product of 471 and -0.2?" }, { "from": "gpt", "value": "-94.2" } ]
[ { "from": "human", "value": "9/(-783)*(-12)/2" }, { "from": "gpt", "value": "2/29" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 1205 and 25." }, { "from": "gpt", "value": "6025" } ]
[ { "from": "human", "value": "What are the prime factors of 1398?" }, { "from": "gpt", "value": "2, 3, 233" } ]
[ { "from": "human", "value": "Work out 5 * -3129." }, { "from": "gpt", "value": "-15645" } ]
[ { "from": "human", "value": "What is the highest common factor of 208 and 520?" }, { "from": "gpt", "value": "104" } ]
[ { "from": "human", "value": "Solve -11*y + 57 = 90 for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let p(r) be the third derivative of -r**9/2520 - r**8/2240 + 5*r**4/24 + 2*r**2. Let l(d) be the second derivative of p(d). Factor l(i)." }, { "from": "gpt", "value": "-3*i**3*(2*i + 1)" } ]
[ { "from": "human", "value": "In base 3, what is 10 + 20?" }, { "from": "gpt", "value": "100" } ]
[ { "from": "human", "value": "Let a = 0 - -3. Find the third derivative of -m**2 + 2*m - a*m**3 + 4*m**3 - 2*m wrt m." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let q = 371/3 - 125. Let l = -0.09 - -0.05. Let r = l + 1.04. Which is the closest to 0? (a) q (b) r (c) 1/11" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let d = 272932 - 159054. Let v = -113878.0600008 + d. Let w = v + 0.06. What is w rounded to 6 decimal places?" }, { "from": "gpt", "value": "-1e-06" } ]
[ { "from": "human", "value": "What is the tenth root of 24155 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is greater: -0.3 or -2408?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "Let h(t) = 6*t + 40. Calculate h(0)." }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Find the second derivative of 6 - 2 - 8*i**4 - 2*i - 4 wrt i." }, { "from": "gpt", "value": "-96*i**2" } ]
[ { "from": "human", "value": "Find the second derivative of 1547*h**2 + 497*h wrt h." }, { "from": "gpt", "value": "3094" } ]
[ { "from": "human", "value": "Solve -3*n + 2*n - 2*t = 7, 0 = 3*n - 5*t - 1 for n." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Multiply 17 and -0.03." }, { "from": "gpt", "value": "-0.51" } ]
[ { "from": "human", "value": "Three letters picked without replacement from ttuuutt. Give prob of sequence uut." }, { "from": "gpt", "value": "4/35" } ]
[ { "from": "human", "value": "Solve -3*g = 44 - 50 for g." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What are the prime factors of 117742?" }, { "from": "gpt", "value": "2, 17, 3463" } ]
[ { "from": "human", "value": "Is 42727 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let f = -11 + 13. Suppose -4*z - f*o + 10 = -0*z, -2*z = 3*o - 15. Solve z = -0*k + 2*k + 6 for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the second derivative of -494*f**2*l*n*y + f**2*l*y - f**2*n - 18*f*l*n*y + 3*f*l*y - f*n*y - 2*l wrt f?" }, { "from": "gpt", "value": "-988*l*n*y + 2*l*y - 2*n" } ]
[ { "from": "human", "value": "Factor -2*k**2/17 + 92*k/17." }, { "from": "gpt", "value": "-2*k*(k - 46)/17" } ]
[ { "from": "human", "value": "What comes next: -465, -467, -469, -471, -473, -475?" }, { "from": "gpt", "value": "-477" } ]
[ { "from": "human", "value": "Find the third derivative of -113*l**5 + l**3 - 817*l**2 wrt l." }, { "from": "gpt", "value": "6 - 6780*l**2" } ]
[ { "from": "human", "value": "Let h(y) = -y**2 + 8*y - 1. Let j be h(6). Solve -j = 3*p + 1 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Differentiate -126*y**3 - 94." }, { "from": "gpt", "value": "-378*y**2" } ]
[ { "from": "human", "value": "In base 12, what is -b - 50?" }, { "from": "gpt", "value": "-5b" } ]
[ { "from": "human", "value": "Simplify (-1 + (sqrt(2) - (sqrt(2) + sqrt(2)*1)) - (sqrt(98)*-3 + sqrt(98)))**2." }, { "from": "gpt", "value": "339 - 26*sqrt(2)" } ]
[ { "from": "human", "value": "Solve 0 = 15*k - 6 - 24 for k." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate -810 divided by -27." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Let m be (11 - 15) + 1 + -1 + 7. Suppose -2*h + 3 = 2*a + 1, -2*a - h + 5 = 0. Suppose a*l - 8 + 0 = 0. Solve m = 3*k, 6*s - 5*k + 13 = l*s for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is (17/3 + -6)/((-2)/4)?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "In base 10, what is -24 - -344?" }, { "from": "gpt", "value": "320" } ]
[ { "from": "human", "value": "Let r = -26 - -23. Let n be (r/1)/((-6)/8). Which is the nearest to -1? (a) 2 (b) n (c) -7" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Sort -2, 0, -5, -24889 in ascending order." }, { "from": "gpt", "value": "-24889, -5, -2, 0" } ]
[ { "from": "human", "value": "Let b be -2*(-1)/(-13*1/1). Sort b, -0.1, 0.3, -1." }, { "from": "gpt", "value": "-1, b, -0.1, 0.3" } ]
[ { "from": "human", "value": "What comes next: -222, -186, -128, -48, 54, 178?" }, { "from": "gpt", "value": "324" } ]
[ { "from": "human", "value": "Is 12359 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let j = -28.2 + 52.8. Let w = j - 25. Let p = -81/5 - -16. What is the third smallest value in -2, p, w?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Express (-2*q - 2*q + 3*q)*(4 + 1 - 3)*(3 + 3 + 0) - q + 3*q - q in the form p + h*q and give h." }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "-2.5 * -2" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "How many grams are there in 32791.03 micrograms?" }, { "from": "gpt", "value": "0.03279103" } ]
[ { "from": "human", "value": "What is ((-4)/550)/(9/(-45))*-5?" }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Factor 2*p**2/7 + 6484*p/7 - 6486/7." }, { "from": "gpt", "value": "2*(p - 1)*(p + 3243)/7" } ]
[ { "from": "human", "value": "Solve 3*z = 2*g - 13, 2*g = -3*z + 4*z + 11 for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let u(d) = -46*d**3 + 6*d**2 + 17. Let w(a) = a**3 - a**2. Let i(q) = -u(q) - 6*w(q). Find the first derivative of i(y) wrt y." }, { "from": "gpt", "value": "120*y**2" } ]
[ { "from": "human", "value": "What is ninety-three quarters of a litre in millilitres?" }, { "from": "gpt", "value": "23250" } ]
[ { "from": "human", "value": "Let b = 18 + -16. Solve -b*f = -7 + 3 for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the least common multiple of ((-5)/3)/((-1265)/674751) and 635." }, { "from": "gpt", "value": "4445" } ]
[ { "from": "human", "value": "Put -5, 1, 9 in descending order." }, { "from": "gpt", "value": "9, 1, -5" } ]
[ { "from": "human", "value": "Factor -5*x**2/6 + 5*x/3 + 25/2." }, { "from": "gpt", "value": "-5*(x - 5)*(x + 3)/6" } ]
[ { "from": "human", "value": "What is the r'th term of -51, -102, -153?" }, { "from": "gpt", "value": "-51*r" } ]
[ { "from": "human", "value": "In base 12, what is -2130363 - 0?" }, { "from": "gpt", "value": "-2130363" } ]
[ { "from": "human", "value": "Evaluate (1*3/(-1))/((-57)/38)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is 319 < 835?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 15 (base 6) in base 3?" }, { "from": "gpt", "value": "102" } ]
[ { "from": "human", "value": "Do -1271 and -1275 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let u = 115 + -116. Put 20, u, -3 in descending order." }, { "from": "gpt", "value": "20, u, -3" } ]
[ { "from": "human", "value": "What is the thousands digit of 7997?" }, { "from": "gpt", "value": "7" } ]