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[ { "from": "human", "value": "Solve -6*c + c = 5*l + 25, -l + 3 = -3*c for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) 1/6 (b) 5 (c) 19/15 (d) -1" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Expand 3*t**3 + t**3 + 3*t**3 + (0*t - t - t)*(-t**2 - t**2 + 0*t**2)." }, { "from": "gpt", "value": "11*t**3" } ]
[ { "from": "human", "value": "What is the third root of 3686 to the nearest integer?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let y(k) = k**3 + k**2 + 2*k + 2. Let v be y(-1). Suppose v = -3*u - 2*u + 25. Put 1, u, 3 in decreasing order." }, { "from": "gpt", "value": "u, 3, 1" } ]
[ { "from": "human", "value": "What is the square root of 28378 to the nearest integer?" }, { "from": "gpt", "value": "168" } ]
[ { "from": "human", "value": "Let u(v) = v**3 - 8*v**2 - 9*v + 1. Let f be u(9). Suppose -4*y - f + 5 = 0. Is y less than 1/3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the highest common divisor of 84 and 7?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Suppose -14 = -3*j + 46. Suppose 0*d + j = d. Suppose 4 = -4*k + d. Solve 6 = -2*x - k for x." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the closest to 0 in 1035, 1/4, 4?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let d(g) be the third derivative of 0*g + 0 + 5*g**2 + 1/30*g**5 + 0*g**4 + 0*g**3. Suppose d(x) = 0. Calculate x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the thousands digit of 8819?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Is 6635 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d(c) be the first derivative of c**6/2 + 17*c**3/3 - 13. What is the third derivative of d(f) wrt f?" }, { "from": "gpt", "value": "180*f**2" } ]
[ { "from": "human", "value": "Rearrange 70*i + 128*i - 110*i to the form p + u*i and give u." }, { "from": "gpt", "value": "88" } ]
[ { "from": "human", "value": "Suppose -3*h = 0, 4*o - 3*o - 39 = 3*h. Let x = o - 15. What is the units digit of x?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let b(v) = -v**2 - 4*v + 7. Let s be b(-5). Suppose s*a - 5 = 3. What is the second derivative of -6*r**3 + 6*r**3 + 2*r - r**a wrt r?" }, { "from": "gpt", "value": "-12*r**2" } ]
[ { "from": "human", "value": "Let o(h) be the second derivative of 0*h**3 + 0*h**2 + 1/6*h**4 - 1/5*h**5 + 3*h + 1/15*h**6 + 0. Determine v, given that o(v) = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "What comes next: 85, 17, -95, -251?" }, { "from": "gpt", "value": "-451" } ]
[ { "from": "human", "value": "Let f(m) be the second derivative of 3/5*m**2 + 1/30*m**4 + 14*m + 4/15*m**3 + 0. Factor f(y)." }, { "from": "gpt", "value": "2*(y + 1)*(y + 3)/5" } ]
[ { "from": "human", "value": "What is the second derivative of -236*f**3 + f + 30?" }, { "from": "gpt", "value": "-1416*f" } ]
[ { "from": "human", "value": "Evaluate ((-728)/(-91))/(1/((-2)/4))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let v(u) be the second derivative of -u**4/12 - 2*u**3/3 - u**2/2 + u. Suppose -3*t - 5 = 1. Let f be v(t). Which is the closest to -1? (a) 0.3 (b) f (c) 0.4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is 0.3055948 tonnes in nanograms?" }, { "from": "gpt", "value": "305594800000000" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 1 (b) 47 (c) -3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Factor 5*q**3 + 50*q**2 - 135*q - 180." }, { "from": "gpt", "value": "5*(q - 3)*(q + 1)*(q + 12)" } ]
[ { "from": "human", "value": "What is the next term in 859066, 859065, 859064?" }, { "from": "gpt", "value": "859063" } ]
[ { "from": "human", "value": "Solve 0 = 5*r - 10, -k - 12 = -22*r + 17*r for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the third derivative of 28*b**4 + 66*b**3 - 3*b**2 - 15*b - 2 wrt b?" }, { "from": "gpt", "value": "672*b + 396" } ]
[ { "from": "human", "value": "How many micrometers are there in nine tenths of a centimeter?" }, { "from": "gpt", "value": "9000" } ]
[ { "from": "human", "value": "Solve 18*r = 71 + 1 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 6, what is -5 - -23422?" }, { "from": "gpt", "value": "23413" } ]
[ { "from": "human", "value": "Let x be (-1)/((1 + -4)/6). Solve x*c = -3*c for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is -111 > -552/5?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort 79, -3, 4, 2." }, { "from": "gpt", "value": "-3, 2, 4, 79" } ]
[ { "from": "human", "value": "What is the second derivative of -572*j**2*x**3 + j*x - 69*x**3 - x wrt j?" }, { "from": "gpt", "value": "-1144*x**3" } ]
[ { "from": "human", "value": "In base 13, what is 14 - -159?" }, { "from": "gpt", "value": "170" } ]
[ { "from": "human", "value": "Put -1/2, 4, 1/3 in ascending order." }, { "from": "gpt", "value": "-1/2, 1/3, 4" } ]
[ { "from": "human", "value": "Factor -5*q**3/4 + 339*q**2/2 + 1133*q + 426." }, { "from": "gpt", "value": "-(q - 142)*(q + 6)*(5*q + 2)/4" } ]
[ { "from": "human", "value": "What is 13000 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the ninth root of 696 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the tens digit of 13161?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is next in 31, 58, 87, 118, 151?" }, { "from": "gpt", "value": "186" } ]
[ { "from": "human", "value": "In base 7, what is -54 + -40?" }, { "from": "gpt", "value": "-124" } ]
[ { "from": "human", "value": "Let w be 31503 - (-1)/((-2)/6). Let f = 7 + -3. Suppose -w = q + f*q. What is q rounded to the nearest 1000?" }, { "from": "gpt", "value": "-6000.0" } ]
[ { "from": "human", "value": "Let i = 436/35 - 63/5. Suppose -u - 22 = -5*s, -5*u - 4*s + 0*s - 226 = 0. Let c be (-26)/u - 4/14. What is the nearest to 0.2 in i, 0.2, c?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Let v = -145 + 182. Suppose 4*l - 4*m = 84, 3*l + 3*m + 16 = 73. Calculate the remainder when v is divided by l." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "In base 11, what is 251 + 0?" }, { "from": "gpt", "value": "251" } ]
[ { "from": "human", "value": "Suppose -2*m + 51 + 17 = 0. Suppose 2 = 4*c + m. Let h = c + 10. Solve -g - h*f = -2, -4*g + 2*f + 16 = -2 for g." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Rearrange (5*m + 2*m - 2*m)*(-27 + 27 - 15*m) to the form p*m + x + j*m**2 and give j." }, { "from": "gpt", "value": "-75" } ]
[ { "from": "human", "value": "Is 1607563 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-2688 divided by -12" }, { "from": "gpt", "value": "224" } ]
[ { "from": "human", "value": "Let n(c) = 8 - 2*c. Let a be n(4). Let d(f) = f**3 - f**2 + f + 8. What is the remainder when ((-42)/9)/(4/(-18)) is divided by d(a)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "4 times -29.5" }, { "from": "gpt", "value": "-118" } ]
[ { "from": "human", "value": "Let m(h) = -h**2 - 8*h - 12. Let f be m(-5). Let -7*j**4 + j**5 + 5*j**4 - 2*j**f + j**4 = 0. What is j?" }, { "from": "gpt", "value": "-1, 0, 2" } ]
[ { "from": "human", "value": "Work out 750687 + -5." }, { "from": "gpt", "value": "750682" } ]
[ { "from": "human", "value": "Suppose a = -2*l + 5, -2*a - 7 = -5*l + a. Suppose -t + 5*m = 6*m - 7, -5*m + 14 = l*t. What are the prime factors of t?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve -270*l = -275*l - 30 for l." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the c'th term of 15, 45, 87, 147, 231, 345, 495, 687?" }, { "from": "gpt", "value": "c**3 + 23*c - 9" } ]
[ { "from": "human", "value": "Suppose 4*p + 4*t - 12 = 0, -3*p + 11 = -3*t + 2. Solve -p*k - f + 13 = 0, f = -3 + 7 for k." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is bigger: -23 or -178?" }, { "from": "gpt", "value": "-23" } ]
[ { "from": "human", "value": "Let u be 494/76*(-29712)/(-52). Are 3714 and u unequal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -2*m - 1 = -j, 5*j - m - 3 - 20 = 0 for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -h = -23 - 2. Suppose 0 = 5*q + h - 70. Solve -1 + q = 2*a for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let s be 3/3 - -1*1. Solve 2*h + h - s*h**2 - 2*h + 3*h**2 = 0 for h." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Solve -4*c = -8, -12 = -2*t - c - 2*c for t." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the smallest value in -17, -0.4, -2?" }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Let r(v) = -v**3 - v - 1. Let b be r(-1). Let f = b + -7. Let i = f + 7. Solve 0 = 2*y + 2, -2*s + 4*y + 3 = -i for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 981671 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the remainder when 2649 is divided by 38?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Let x(g) = -g - 1. Let p be x(7). Let c = 6 + p. Let i = -0.8 + 0.4. What is the third smallest value in c, -0.5, i?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Is 26250 a multiple of 75?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the nearest to 0.3 in -2/21, -1, -2/3?" }, { "from": "gpt", "value": "-2/21" } ]
[ { "from": "human", "value": "Let x = -2 - -17. Is ((-708)/x)/(2/(-5)) prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -5*a - 2 = -j + 1, -4*j = -a - 88. Suppose -g = g - 8. Suppose 3*i - g*i = -j. Solve 4*n = 3*n + 3*x - 13, i = -n + 5*x for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is (-137)/30 - 72/(-1080)?" }, { "from": "gpt", "value": "-9/2" } ]
[ { "from": "human", "value": "Calculate -32944 + -0.4." }, { "from": "gpt", "value": "-32944.4" } ]
[ { "from": "human", "value": "Do 1/4 and -291 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the j'th term of 9, 21, 33, 45, 57?" }, { "from": "gpt", "value": "12*j - 3" } ]
[ { "from": "human", "value": "Let z(r) = -r**3 - 6*r**2 - 2*r + 5. Let m be z(-5). Is (-1)/(-2) - 2625/m prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let i(q) = q**3 - 4*q**2 - 3*q - 6. Determine i(5)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate -29*-0.3." }, { "from": "gpt", "value": "8.7" } ]
[ { "from": "human", "value": "Simplify (2 + -3 + sqrt(12))**2." }, { "from": "gpt", "value": "13 - 4*sqrt(3)" } ]
[ { "from": "human", "value": "(-12)/9 + 0 - -2" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let i(h) = h**3 - h**2 - 6*h. Is i(4) a multiple of 4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide 2 by 33." }, { "from": "gpt", "value": "2/33" } ]
[ { "from": "human", "value": "What is the r'th term of -1641, -3293, -4945, -6597, -8249, -9901?" }, { "from": "gpt", "value": "11 - 1652*r" } ]
[ { "from": "human", "value": "Let d(r) = r + 3*r - 3*r - r**2 - 3. What is d(0)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 28 a factor of 1413?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Express (16*c**3 + 13*c**3 - 8*c**3)*(1 - 3 + 0) in the form u + m*c**3 + q*c + k*c**2 and give m." }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "Suppose 2*n = 21 + 49. Let l = n - 20. What is the remainder when 57 is divided by l?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Calculate the remainder when 66698426 is divided by 5." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate the remainder when 102 is divided by 31 - ((4 - (4 + 0)) + 4)." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is (-23)/(161/210)*((-39)/6)/(-13)?" }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "What is -19.91 plus -0.1192?" }, { "from": "gpt", "value": "-20.0292" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 54 and 15?" }, { "from": "gpt", "value": "270" } ]
[ { "from": "human", "value": "Let j(s) = 2*s**2. Let l(d) = -46*d + 3 - 3 + 64*d. Give l(j(v))." }, { "from": "gpt", "value": "36*v**2" } ]
[ { "from": "human", "value": "What is the remainder when 264 is divided by 80?" }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "What is the value of 84/350*(-5)/(-9)?" }, { "from": "gpt", "value": "2/15" } ]
[ { "from": "human", "value": "Let j(m) be the third derivative of -m**6/180 - m**5/45 + 7*m**4/36 - 4*m**3/9 + 3*m**2. Factor j(f)." }, { "from": "gpt", "value": "-2*(f - 1)**2*(f + 4)/3" } ]