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[ { "from": "human", "value": "Find k such that -k**2/6 + 71*k/6 - 539/3 = 0." }, { "from": "gpt", "value": "22, 49" } ]
[ { "from": "human", "value": "Let j be 6 + 2 - 0/1. Let r(h) = h**2 - 7*h - 7. Let n be r(j). What is the first derivative of 0*u - u - u - n - u wrt u?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 10, what is -2 - -295?" }, { "from": "gpt", "value": "293" } ]
[ { "from": "human", "value": "Let t(b) = -b**2 - 8*b - 9. What is the remainder when (-1*1)/(3/(-18)) is divided by t(-6)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let a(r) be the second derivative of 11/20*r**5 + 0*r**3 + 8/15*r**6 - 2*r + 1/6*r**7 + 0*r**2 + 1/6*r**4 + 0. Factor a(i)." }, { "from": "gpt", "value": "i**2*(i + 1)**2*(7*i + 2)" } ]
[ { "from": "human", "value": "Does 25 divide 678?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let g(k) be the second derivative of -k**4/12 + k**3/2 + 3*k. Let g(t) = 0. What is t?" }, { "from": "gpt", "value": "0, 3" } ]
[ { "from": "human", "value": "How many centuries are there in sixty-nine halves of a millennium?" }, { "from": "gpt", "value": "345" } ]
[ { "from": "human", "value": "Is 10 a factor of 1843?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there between 6:01 PM and 8:36 PM?" }, { "from": "gpt", "value": "155" } ]
[ { "from": "human", "value": "What is 1021 (base 4) in base 11?" }, { "from": "gpt", "value": "67" } ]
[ { "from": "human", "value": "Let r(m) = m**3 - 5*m**2 - m + 5. Let h be r(5). Solve g + a = -h*a + 1, -g - 8 = -2*a for g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Put 0.1, -2/7, -11/6, 0.007 in ascending order." }, { "from": "gpt", "value": "-11/6, -2/7, 0.007, 0.1" } ]
[ { "from": "human", "value": "What is the fourth root of 1144 to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose -y = -3*y + 18. Solve y = -4*s - 11 for s." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let f = -15 - -17. Let r(j) be the second derivative of 1/12*j**4 + 0*j**2 - f*j - 1/20*j**5 + 0*j**3 + 0. Find the third derivative of r(y) wrt y." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let u = -13 - -12.5. Let n = -0.2 - -0.3. Sort u, n, 2/11 in increasing order." }, { "from": "gpt", "value": "u, n, 2/11" } ]
[ { "from": "human", "value": "Let q = -1 - -8. Let g(u) = -u**2 + 9*u - 8. Let c be g(q). Let a = c + -6. Solve a = f - 4 + 7 for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 2*f**3 - 336*f**2 = 0. What is f?" }, { "from": "gpt", "value": "0, 168" } ]
[ { "from": "human", "value": "Let l = -25 + 35. Let j = -7 + l. Let f = -0.415 + 0.015. What is the second biggest value in -0.2, f, j?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Calculate ((-1524)/(-24) - 14)/(75/20) - (-6)/(-5)." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "How many millilitres are there in 21/2 of a litre?" }, { "from": "gpt", "value": "10500" } ]
[ { "from": "human", "value": "Which is bigger: 2781 or 2776?" }, { "from": "gpt", "value": "2781" } ]
[ { "from": "human", "value": "Calculate 4.45*-4." }, { "from": "gpt", "value": "-17.8" } ]
[ { "from": "human", "value": "What is the r'th term of 216, 221, 226, 231?" }, { "from": "gpt", "value": "5*r + 211" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) 0.2 (b) 12.3 (c) 0 (d) 1/9 (e) -0.19" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "(4 - (-3 + 1)) + 0" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate the remainder when 2510 is divided by 1253." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Multiply -34340 and -0.1." }, { "from": "gpt", "value": "3434" } ]
[ { "from": "human", "value": "Solve 0 = -17*n + 766 - 800 for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let 4*g**2 - 208*g + 400 = 0. Calculate g." }, { "from": "gpt", "value": "2, 50" } ]
[ { "from": "human", "value": "What comes next: -3, -40, -137, -324, -631, -1088, -1725, -2572?" }, { "from": "gpt", "value": "-3659" } ]
[ { "from": "human", "value": "Suppose i - 3*m + 4 = 0, 4*i - 3*m - 4 = -m. Suppose 0*n - i*n = -2*z - 22, 3*n - 4*z = 29. What is the highest common divisor of 55 and n?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 3770 and 20." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Suppose 6*a - 4*a = 8. Suppose -2*m - a*m = 0. Solve 0 = 5*o - 15 - m for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i = 12 + -7. Suppose 0 = -f + 4*j + 13, 3*f - j = -f - 8. Let g = 0 - f. What is the smallest value in -2/15, i, g?" }, { "from": "gpt", "value": "-2/15" } ]
[ { "from": "human", "value": "Find the common denominator of -67/13248444 and 41/20207." }, { "from": "gpt", "value": "145732884" } ]
[ { "from": "human", "value": "Is 180617 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor -h**3/4 - 9*h**2 + 192*h - 832." }, { "from": "gpt", "value": "-(h - 8)**2*(h + 52)/4" } ]
[ { "from": "human", "value": "Evaluate -18 - -15 - (0 - 1 - 0)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate -15*16/(-400)*(-5)/(-18)." }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "(3 - 6) + -4 + 2 + 1" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let m(x) be the first derivative of 3*x**3/2 + 57*x**2/4 - 21*x - 9. Factor m(k)." }, { "from": "gpt", "value": "3*(k + 7)*(3*k - 2)/2" } ]
[ { "from": "human", "value": "Let l = 259 - 272.1. Let g = l + 13. Which is smaller: g or 9?" }, { "from": "gpt", "value": "g" } ]
[ { "from": "human", "value": "Solve -5*m = -24 + 9 for m." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 6, what is -13254 + 5?" }, { "from": "gpt", "value": "-13245" } ]
[ { "from": "human", "value": "What is the nearest to 0 in 5, 2/25, 228?" }, { "from": "gpt", "value": "2/25" } ]
[ { "from": "human", "value": "In base 6, what is 4 + -115?" }, { "from": "gpt", "value": "-111" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 2/97 (b) 0.4 (c) 37" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Find m such that -m**4 + 75*m**3 - 777*m**2 + 1333*m - 630 = 0." }, { "from": "gpt", "value": "1, 10, 63" } ]
[ { "from": "human", "value": "Which is smaller: -630 or -634?" }, { "from": "gpt", "value": "-634" } ]
[ { "from": "human", "value": "What is the second derivative of -4*n**3*o - 23*n**2*o - 2*n*o + 2*n + 1 wrt n?" }, { "from": "gpt", "value": "-24*n*o - 46*o" } ]
[ { "from": "human", "value": "Calculate 8 divided by -2." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 33 minutes after 1:46 PM?" }, { "from": "gpt", "value": "2:19 PM" } ]
[ { "from": "human", "value": "What is the n'th term of -15166, -15169, -15182, -15211, -15262, -15341?" }, { "from": "gpt", "value": "-n**3 + n**2 + n - 15167" } ]
[ { "from": "human", "value": "Solve -16*k + 26 = -19*k - 5*p, 4*p = -16 for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 15, what is -1 + -4a?" }, { "from": "gpt", "value": "-4b" } ]
[ { "from": "human", "value": "Let g(v) = -1. Let i(j) = 12*j - 24. Let w(a) = 24*g(a) - i(a). Let m be w(-1). Suppose 3*z - m = -0*z. Calculate the remainder when 6 is divided by z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let m = 2.9 + 2.1. Sort 3, -2/9, m in increasing order." }, { "from": "gpt", "value": "-2/9, 3, m" } ]
[ { "from": "human", "value": "What is the fifth root of 262 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose -a - 3*i = -8*i - 131, 0 = 4*a + 4*i - 548. Calculate the greatest common factor of a and 17." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is the square root of 2587 to the nearest integer?" }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "Let 2*k**3 + 1/3*k**5 + 1/3*k - 4/3*k**2 - 4/3*k**4 + 0 = 0. What is k?" }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Let t(v) = -v**2 - 4*v - 2. Suppose 4*p - 4 = -12. Let n be t(p). Suppose n = m - 0*m. Solve -8 = 2*w, m*g + 2*g - 5*w = 0 for g." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is the nearest to -0.1? (a) -4/5 (b) 0 (c) -19" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Is 5779 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let y(h) = -5*h**3 - 5*h**2 - 4. Let n(b) = b**2 - b. Let u be n(-2). Let c(d) = u*d**3 - 3 + 6 - 2*d**3 + 4*d**2 + 0. Calculate -4*c(j) - 3*y(j)." }, { "from": "gpt", "value": "-j**3 - j**2" } ]
[ { "from": "human", "value": "Solve -3*f - 2 = -2*r, -3*f - 9 = 3*r - 27 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many minutes are there in 1/4 of a day?" }, { "from": "gpt", "value": "360" } ]
[ { "from": "human", "value": "What is 4766 to the power of 1/9, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve n + 0*w = -5*w + 17, -3*n = -5*w + 29 for n." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let c(j) be the second derivative of 1/6*j**6 + 0*j**5 + 0 + 0*j**2 - j - 1/3*j**3 + 0*j**4. Find the second derivative of c(i) wrt i." }, { "from": "gpt", "value": "60*i**2" } ]
[ { "from": "human", "value": "Multiply -2 and -48." }, { "from": "gpt", "value": "96" } ]
[ { "from": "human", "value": "Put 14, -0.2, -3/10, 0, 3/8 in descending order." }, { "from": "gpt", "value": "14, 3/8, 0, -0.2, -3/10" } ]
[ { "from": "human", "value": "What is the r'th term of -16, 71, 264, 563, 968, 1479, 2096?" }, { "from": "gpt", "value": "53*r**2 - 72*r + 3" } ]
[ { "from": "human", "value": "Solve -28 = 4*h - 4*a, h - 3*a = 5*h + 14 for h." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 3, what is 102211020 + 0?" }, { "from": "gpt", "value": "102211020" } ]
[ { "from": "human", "value": "Solve -39*z + 73 - 307 = 0 for z." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Evaluate 130/65*735/30." }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "Let p(i) = -i + 4*i**2 - 4 - 3*i**2 + 0. Let b(t) = t**2 + 11*t + 6. Let g be b(-10). Let v be 6 + 1 + (g - -1). Give p(v)." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Calculate (-8*(-6)/72)/(-22)*-3." }, { "from": "gpt", "value": "1/11" } ]
[ { "from": "human", "value": "Let x**4 + 42*x**3 + 556*x**2 + 2982*x + 5635 = 0. What is x?" }, { "from": "gpt", "value": "-23, -7, -5" } ]
[ { "from": "human", "value": "What is the fourth smallest value in -4, 2/7, -1/12, 0.5, -3?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Suppose 3 + 7 = 2*g - 4*m, -2*m + 20 = 4*g. Solve 0 = -x - g for x." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -3*b + 4 + 5 = 0. Let v = -9 - -3. Let o be (b/v)/((-1)/2). Sort -2, o, -1." }, { "from": "gpt", "value": "-2, -1, o" } ]
[ { "from": "human", "value": "Find the third derivative of 3*w**2 + w**3 - 5*w**2 - 3*w**3 - w**2 wrt w." }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Calculate 13 + (13 - 11) + -10." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find the third derivative of -b*r**3*w - 2*b*r**2*w + 89*b*w - 203*r**3*w wrt r." }, { "from": "gpt", "value": "-6*b*w - 1218*w" } ]
[ { "from": "human", "value": "Rearrange 0*r + 0*r + 2*r + 13 - 11 to the form x*r + w and give x." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let p(y) = -y + y - 3*y**2 + 5*y**2. Let a(g) = -4*g**2. Determine a(p(f))." }, { "from": "gpt", "value": "-16*f**4" } ]
[ { "from": "human", "value": "Let j = -2878 - -11569/4. Let s be ((-16)/(-5))/(2 - (-12)/(-5)). Calculate the common denominator of j and (10620/s)/9*(-4)/60." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is next in 252, 250, 248, 246, 244?" }, { "from": "gpt", "value": "242" } ]
[ { "from": "human", "value": "Sort -9, -137, -1." }, { "from": "gpt", "value": "-137, -9, -1" } ]
[ { "from": "human", "value": "Let a(k) be the first derivative of 0*k + 8*k**2 + 2 - 2/5*k**5 + 3*k**4 - 8*k**3. Factor a(b)." }, { "from": "gpt", "value": "-2*b*(b - 2)**3" } ]
[ { "from": "human", "value": "Solve 2*n - d - 7 + 0 = 0, -10 = -3*n + d for n." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the closest to -0.1 in -0.13, -0.3, -0.2, -1?" }, { "from": "gpt", "value": "-0.13" } ]
[ { "from": "human", "value": "What is 4405 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let h = -21 + 21. Solve h = -0*p - p - 4 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let t(i) = -i**2 - 10*i + 24. Let r be t(-12). Solve -2*m + 0*m + 4*q - 24 = 0, r = 3*q - 12 for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let v = 10.8 + -11. Let p = v + 0.199929. What is p rounded to 5 dps?" }, { "from": "gpt", "value": "-7e-05" } ]