-1/5, 0, 2
Let b(o) be the first derivative of 3/5*o**5 - 10 + 0*o + 0*o**2 + 3/2*o**4 + 0*o**3. Factor b(t).
3*t**3*(t + 2)
Let q(v) be the second derivative of -v**4/4 + 12*v**3 + 75*v**2/2 + 169*v. Find n, given that q(n) = 0.
-1, 25
Let c(r) be the second derivative of -r**4/60 - r**3/6 + 3*r**2/5 + 73*r. Determine y so that c(y) = 0.
-6, 1
Let v = 3581/306 + -198/17. Let n(f) be the second derivative of 0 + 0*f**2 + 8*f - v*f**4 - 1/60*f**5 - 1/18*f**3. Factor n(k).
-k*(k + 1)**2/3
What is y in -40/11*y + 24/11*y**2 + 0 + 18/11*y**3 - 2/11*y**4 = 0?
-2, 0, 1, 10
Find x, given that 3/2*x**2 + 153/2*x + 0 = 0.
-51, 0
Suppose -3*x + 7*x = -5*l + 534, -x + 216 = 2*l. Let h = l + -105. Let 0 - 420/11*s**3 - 250/11*s**h - 136/11*s**2 - 50*s**4 - 16/11*s = 0. What is s?
-1, -2/5, 0
What is f in -2/13*f**3 - 8/13*f**2 - 28/13 + 38/13*f = 0?
-7, 1, 2
Let b(h) be the second derivative of -17*h - 11/3*h**6 - 5*h**2 - 11/2*h**5 + 0 + 5/2*h**7 + 10*h**4 + 5/6*h**3. Find i, given that b(i) = 0.
-1, -2/7, 1/3, 1
Let t be 17/10 - 8/10. Let m(l) be the first derivative of 0*l**2 + t*l**5 + 0*l**4 - 2*l**3 + 4 + 0*l - 1/4*l**6. Let m(w) = 0. What is w?
-1, 0, 2
Let u(r) = 8*r**4 + 32*r**3 + 21*r**2 - 27*r - 34. Let a(d) = 9*d**4 + 33*d**3 + 21*d**2 - 27*d - 36. Let s(p) = -5*a(p) + 6*u(p). Factor s(g).
3*(g - 1)*(g + 1)**2*(g + 8)
Suppose 2*n + 15 + 5 = 0. Let l be n/(-4) + 1 + 0 + -2. Factor 1/4*q**2 + 9/4 - l*q.
(q - 3)**2/4
Let t(u) be the first derivative of -4*u**3/3 - 4*u**2 + 60*u - 75. Factor t(i).
-4*(i - 3)*(i + 5)
Let v(n) be the third derivative of -n**5/480 + 5*n**4/96 + 15*n**2 + n. Factor v(l).
-l*(l - 10)/8
Let l(f) be the third derivative of -5*f**7/42 + 3*f**6/4 + 51*f**5/4 + 445*f**4/12 + 40*f**3 - 600*f**2. Find t, given that l(t) = 0.
-3, -1, -2/5, 8
Let j(g) be the third derivative of 0 + 25*g**2 + 0*g + 8/27*g**3 - 1/945*g**7 - 1/27*g**4 - 1/45*g**5 + 1/108*g**6. Factor j(x).
-2*(x - 2)**3*(x + 1)/9
Let s = 30 + -27. Factor -17*z + 4*z**3 + 0*z**s + 25*z - 12*z**2 + 0*z**3.
4*z*(z - 2)*(z - 1)
Let g(c) be the third derivative of -c**7/280 - c**6/40 + 21*c**5/80 - c**4/8 - 7*c**3/2 - 571*c**2. Solve g(h) = 0.
-7, -1, 2
Suppose 5*x - 2*i + 701 = 0, 5*x - i + 3*i + 709 = 0. Let o = -281/2 - x. Suppose 0 - 1/2*f**3 + 1/2*f**2 - 1/2*f**4 + o*f = 0. Calculate f.
-1, 0, 1
Let g(x) be the second derivative of -25/11*x**2 + 3/22*x**4 + 0 + 1/110*x**5 + 24*x + 5/11*x**3. Factor g(d).
2*(d - 1)*(d + 5)**2/11
Determine c so that 5*c**5 - 2*c**3 + 20*c**4 + 15*c**4 + 32*c**3 - 160*c - 59*c**2 - 101*c**2 = 0.
-4, -1, 0, 2
Let i(g) be the second derivative of -g**7/14 + 2*g**6/5 - 3*g**5/5 + 388*g. Solve i(z) = 0 for z.
0, 2
Let z be ((-1)/(-1))/((-1)/(-11)). Suppose -2*q = 5*i - 29, 4*q - 3*i - 4 = -z. What is b in 4*b**2 - 2*b**2 + 6*b**3 + 4*b**5 - 4*b**2 - 6*b**4 - q*b**5 = 0?
0, 1
Let j(o) = -8*o + 43. Let i be j(4). Factor -2*b + i*b**2 + 8*b**3 - 6*b**3 - 11*b**2.
2*b*(b - 1)*(b + 1)
Let q = 19 - 15. Factor 3*x**2 + 4*x**5 + 0*x**q - 12*x**3 + 8*x - x**2 + 2*x**2 - 4*x**4.
4*x*(x - 2)*(x - 1)*(x + 1)**2
Let w = 363/695 + -17/139. Solve -6/5*q**3 + 0 - w*q**4 + 0*q + 8/5*q**2 = 0 for q.
-4, 0, 1
Suppose 6*w = 2*c + 67 - 65, 0 = w - 1. Determine m, given that -16/11*m + 14/11*m**c + 6/11 - 4/11*m**3 = 0.
1, 3/2
Let k(h) be the third derivative of h**7/105 + 37*h**6/60 + 78*h**5/5 + 180*h**4 + 576*h**3 - 635*h**2. Solve k(f) = 0 for f.
-12, -1
Let y(d) be the third derivative of d**6/120 - 2*d**5/5 + 89*d**4/24 + 19*d**3 - 77*d**2 + 2. Factor y(t).
(t - 19)*(t - 6)*(t + 1)
Let h(d) be the third derivative of d**5/6 - 55*d**4/24 - 35*d**3/2 + 36*d**2. Factor h(k).
5*(k - 7)*(2*k + 3)
Suppose -3*r + 2*z - 4 = 0, -2*r + 4*r + 6 = 2*z. Let u(f) = f**2 - 16*f + 41. Let b be u(3). Suppose r - 3*w**b - 5 + 9*w - 3 = 0. Calculate w.
1, 2
Let m(j) be the second derivative of j**4/78 - 9*j**3/13 + 50*j**2/13 + j + 161. Factor m(d).
2*(d - 25)*(d - 2)/13
Let a = -32 + 38. Let n(u) be the third derivative of -1/132*u**4 + 1/660*u**a - 1/165*u**5 + 2/33*u**3 + 0*u + 12*u**2 + 0. Let n(w) = 0. Calculate w.
-1, 1, 2
Let m(z) = -z**2 - 26*z - 64. Let p be m(-23). Determine j, given that -36*j + 11*j + 5*j**2 + 25 - p = 0.
1, 4
Suppose 0 = 2*p - b - b + 6, 0 = -p - 4*b + 22. Factor 1 + 52*j**p - 1 - 56*j**2.
-4*j**2
Factor 857*y**3 + 3*y + 31*y + 24 + 11*y**2 - 856*y**3.
(y + 1)*(y + 4)*(y + 6)
Let a be (-2886)/(-24) - (4 - 3). Let b = -117 + a. Determine o so that 9/2*o**3 - 3/4*o**5 + 0 + 0*o**4 + 6*o**2 + b*o = 0.
-1, 0, 3
Let x = -404/399 - -74/57. Factor x*r**5 + 4/7*r**4 + 0*r + 2/7*r**3 + 0 + 0*r**2.
2*r**3*(r + 1)**2/7
Let v(f) be the second derivative of -196*f**4/27 + 56*f**3/27 - 2*f**2/9 - 7*f + 14. Factor v(i).
-4*(14*i - 1)**2/9
Let w(j) be the first derivative of 0*j**3 - 8/5*j - 23 - 13/15*j**2 + 1/30*j**4. Find t such that w(t) = 0.
-3, -1, 4
Solve 24/5 - 36/5*p - 234/5*p**2 + 63*p**4 + 141/5*p**3 = 0.
-1, -2/5, 2/7, 2/3
Let r(m) be the second derivative of m**6/210 + 32*m**5/35 + 1024*m**4/21 - 3*m + 8. Factor r(w).
w**2*(w + 64)**2/7
Let r = -46 - -41. Let i = r - -9. Factor 9/4*a**3 + 5/4*a - i*a**2 + 1/2.
(a - 1)**2*(9*a + 2)/4
Let y(l) be the second derivative of -l**5/110 + 13*l**4/66 - 5*l**3/3 + 75*l**2/11 + 328*l. Factor y(x).
-2*(x - 5)**2*(x - 3)/11
Let t(g) be the first derivative of -g**4/18 + g**2/9 - 427. Factor t(w).
-2*w*(w - 1)*(w + 1)/9
Let z(h) be the second derivative of 3*h**5/50 - 203*h**4/15 + 2720*h**3/3 + 9248*h**2/5 - 4*h - 28. Solve z(i) = 0.
-2/3, 68
Let g(m) be the first derivative of -26*m**6/3 - 8*m**5/5 + 39*m**4 - 80*m**3/3 - 8*m**2 + 121. Solve g(c) = 0.
-2, -2/13, 0, 1
Let p(l) be the first derivative of -9*l**4/4 - 56*l**3/3 - 93*l**2/2 - 18*l + 69. Factor p(g).
-(g + 3)**2*(9*g + 2)
Let k(l) be the first derivative of -l**6/180 - l**5/15 - l**4/4 - 7*l**3/3 - 12. Let i(v) be the third derivative of k(v). Factor i(n).
-2*(n + 1)*(n + 3)
Let b(q) be the first derivative of -q**3/3 - q**2/2 - 20. Let o(h) = 9*h**2 + 3*h - 8. Let t(r) = 22*b(r) + 2*o(r). Let t(x) = 0. What is x?
-2
Let i = -69 + 61. Let b be 1 - i/(-6) - (9 + -10). Solve 4*l**2 - b - 2*l + 6*l**5 + 20/3*l**3 - 14*l**4 = 0.
-1/3, 1
Let g(s) be the first derivative of s**5/60 + s**4/12 + s**3/6 + 11*s**2/2 + 11. Let y(z) be the second derivative of g(z). Factor y(k).
(k + 1)**2
Let p(g) be the second derivative of g**5/5 - 13*g**4/12 + 11*g**3/6 - g**2 + 11*g + 32. Let p(v) = 0. Calculate v.
1/4, 1, 2
Let a(b) be the third derivative of -b**7/1785 - b**6/1020 + b**5/255 - 9*b**2 - 5. Suppose a(h) = 0. What is h?
-2, 0, 1
Let c = -2/1275 + 427/1275. Factor 2/3*m**3 + c*m**2 + 0*m + 0.
m**2*(2*m + 1)/3
Let g(f) be the first derivative of -3/10*f**4 + 0*f + 9 + 2/15*f**3 + 1/15*f**6 - 2/25*f**5 + 2/5*f**2. Determine w, given that g(w) = 0.
-1, 0, 1, 2
Let y(b) = 2*b**2 - 11*b - 4. Let k(j) = 2*j**2 - 10*j - 6. Let w(z) = 3*k(z) - 2*y(z). Determine q so that w(q) = 0.
-1, 5
Suppose 0 = -3*p + g + 71 - 24, 4*g = -5*p + 50. Let t be (147/p)/(6/8). Factor t*o**3 + o**2 - 12*o**3 + 0 + o**4 + 0.
o**2*(o + 1)**2
Suppose -3*f + 4*f - 2 = 0. Suppose 3*r + 9 = 6*r. Suppose 4*s**3 + 1 + 31*s**4 - f*s - s**3 - 32*s**4 - s**r = 0. Calculate s.
-1, 1
Let h be (-26)/(-10) + (-1)/((-25)/(-15)). Factor -6*a - 4 + 2*a**2 + 3*a + 3*a + h*a.
2*(a - 1)*(a + 2)
Let p = 104 + -106. Let y be ((-64)/(-72) + -1)/(1/p). Factor 4/9*i - y - 2/9*i**2.
-2*(i - 1)**2/9
Let k(i) be the first derivative of 5 + 1/15*i**6 + 3/5*i**2 + 0*i + 6/5*i**4 + 4/3*i**3 + 12/25*i**5. Factor k(u).
2*u*(u + 1)**3*(u + 3)/5
Factor 4 + 37994*u**3 - 37997*u**3 + 36*u + 12*u**2 - 4.
-3*u*(u - 6)*(u + 2)
Let u(l) be the first derivative of -2*l**3/15 + 14*l**2/5 - 96*l/5 + 328. Determine y so that u(y) = 0.
6, 8
Factor -10/3 - 38/3*z**2 - 34/3*z - 14/3*z**3.
-2*(z + 1)**2*(7*z + 5)/3
Let x(d) be the second derivative of d**5/5 - 2*d**4/3 - 2*d**3/3 + 4*d**2 + 86*d. Factor x(r).
4*(r - 2)*(r - 1)*(r + 1)
Let x(a) = 3*a**4 - 5*a**3 - 9*a**2 + 17*a - 2. Let o(l) = -5*l**4 + 5*l**3 + 20*l**2 - 35*l + 5. Let f(v) = -2*o(v) - 5*x(v). Let f(h) = 0. What is h?
-1, 0, 1, 3
Let q(g) be the first derivative of 2*g**2 - 14*g + 2. Let l be q(5). Factor -12 + 15*h**2 + l*h + 9/2*h**3.
3*(h + 2)**2*(3*h - 2)/2