6*i**2 + 4*i**3 - 221 - 39*i**2 + 41 + 24*i = 0.
-5, 6
Let d(k) be the second derivative of -k**4/6 - 55*k**3/3 + 135*k. Let d(u) = 0. What is u?
-55, 0
Find p such that -14/3*p**2 + 10 - 16/3*p = 0.
-15/7, 1
Let 0*f + 0 - 24/13*f**3 + 0*f**2 - 2/13*f**4 = 0. Calculate f.
-12, 0
Let o(x) be the second derivative of -x**10/6048 + x**9/3024 + 13*x**4/6 - 6*x. Let f(t) be the third derivative of o(t). Factor f(u).
-5*u**4*(u - 1)
Suppose -4*c + 2*c = -18. Find d such that 10*d + d**3 + c*d**3 - 25*d**2 - d**3 + 6*d**3 = 0.
0, 2/3, 1
Let l(d) be the first derivative of -3*d**5/5 + 6*d**4 - 18*d**3 + 24*d**2 - 15*d - 33. Factor l(n).
-3*(n - 5)*(n - 1)**3
Let r(c) = -4*c**4 - 40*c**3 + 3*c + 3. Let w(o) = -o**4 + o + 1. Let y(q) = 4*r(q) - 12*w(q). Let y(g) = 0. What is g?
-40, 0
Let l(y) be the second derivative of 1/50*y**5 - 1/30*y**4 + 0*y**2 + 40*y + 0*y**3 + 0. Factor l(h).
2*h**2*(h - 1)/5
Suppose 5*n = -2*n + 14. Suppose 20*s**3 + 13*s**3 - 6*s**3 + 6*s**n = 0. What is s?
-2/9, 0
Suppose -3*x + 11 = -2*m, -5*m + 9 = 4*x - 21. Let -8/3*k - 4/3 - 7/3*k**4 + 11/3*k**m + 13/3*k**3 - 5/3*k**5 = 0. What is k?
-2, -1, -2/5, 1
Suppose 5 = -2*f + 4*i + 3, 0 = f + 4*i - 11. Suppose 77 + 195*j**2 + 10908 - 2535*j - 12*j**3 + 7*j**f = 0. What is j?
13
Let f(n) = -2*n**4 + n**3 - n**2 + n - 1. Let u(j) = j**5 + 20*j**4 + 30*j**3 - 109*j**2 + 61*j + 3. Let m(o) = -3*f(o) - u(o). Factor m(z).
-z*(z - 1)**2*(z + 8)**2
Solve 0 + 5/2*b**2 + 1/2*b**3 + 2*b = 0 for b.
-4, -1, 0
Let h be 0*(0 - 5)/5. Factor 5*j**3 + h*j**3 + 2*j**4 + 6*j**2 - 6*j + 4*j - 11*j**3.
2*j*(j - 1)**3
Suppose -5*q + 3*q - 164 = 3*s, 4*s + 2*q = -222. Let d = 61 + s. Factor 0*a**d + 0 - 1/6*a**2 + 1/6*a**4 + 0*a.
a**2*(a - 1)*(a + 1)/6
Let m(w) be the first derivative of -5*w**3/3 + 20*w + 3. Determine d so that m(d) = 0.
-2, 2
Let g(s) = -10*s**2 + 5*s + 5. Let p = -52 - -58. Let b(z) = 10*z**2 - 5*z - 5. Let u(y) = p*b(y) + 7*g(y). Find j, given that u(j) = 0.
-1/2, 1
Let g be 15/(-25) + (-28)/(-5). Let y(i) be the third derivative of 1/6*i**3 - 1/30*i**g + 0*i**6 + 0*i + 0*i**4 + 1/210*i**7 + 4*i**2 + 0. Factor y(j).
(j - 1)**2*(j + 1)**2
Let m = 1/97 + 95/194. Factor -m*z - 1/8*z**2 - 3/8.
-(z + 1)*(z + 3)/8
Let r(b) be the first derivative of -3*b**5/35 + 6*b**4/7 + 3*b**3/7 - 195*b**2/7 + 600*b/7 - 186. Determine o, given that r(o) = 0.
-4, 2, 5
Let m be (-213)/(-355) + 18/20. Let r(u) be the first derivative of m*u**4 + 0*u**3 + 3/5*u**5 - 3*u + 10 - 3*u**2. Factor r(j).
3*(j - 1)*(j + 1)**3
Let x be ((-15)/(-4) + -4)*2 - -1. Factor -1/2*a**2 - 1/2*a**5 + x*a**3 + 0*a + 0 + 1/2*a**4.
-a**2*(a - 1)**2*(a + 1)/2
Let t be (-3)/(-36)*-2*272/(-68). Solve 11/3*y**3 + 4/3*y**5 + 0*y + 0 + 13/3*y**4 + t*y**2 = 0 for y.
-2, -1, -1/4, 0
Let z be (-1 + 3)*(-2)/4. Let x be (z + -1)*(-5 + 3). Factor 9*j**4 - 4*j**3 + 16*j**3 - 3*j**4 + 10*j**x - 2*j + 6*j**5.
2*j*(j + 1)**3*(3*j - 1)
Let w = -67 - -70. Let t(r) be the first derivative of -2/33*r**w - 2/11*r - 2/11*r**2 - 4. Determine l so that t(l) = 0.
-1
Let y(c) be the second derivative of c**6/15 + c**5/5 - 2*c**3/3 - c**2 - 12*c. Factor y(p).
2*(p - 1)*(p + 1)**3
Let v(u) be the third derivative of -u**7/210 - 7*u**6/120 - 13*u**5/60 + u**4/8 + 3*u**3 - 215*u**2. Factor v(q).
-(q - 1)*(q + 2)*(q + 3)**2
Let c(t) = t**2 - 6*t + 2. Let h be c(7). Let s = 12 - h. Factor 6 - 4*p**2 - 2*p - 7 + s*p**2 + 0*p**2.
-(p + 1)**2
Let 16 - 1 - 6*h**3 - 16*h + 5*h**2 + 41*h + h**3 = 0. Calculate h.
-1, 3
Let d(s) be the first derivative of -7*s**4/36 + 8*s**3/27 - s**2/18 - 29. Determine x so that d(x) = 0.
0, 1/7, 1
Let s(f) be the first derivative of 2*f**3 - 315*f**2/2 + 156*f - 350. Determine r, given that s(r) = 0.
1/2, 52
Suppose -3*z + 2*j - 6 = -4*z, -z + 2*j = 6. Let y(f) be the third derivative of -1/72*f**4 + 0*f + 0 - 5*f**2 + 1/180*f**5 + z*f**3. Find c such that y(c) = 0.
0, 1
Suppose 5*o + 3*o = 32. Suppose 3*i = 5*q - o, 10 = 3*i - 0*q + 2*q. Determine f so that 0 - 2/3*f + 2/3*f**i = 0.
0, 1
Let k be -6 + (5 - 1) + 40 + 0. Let n = -35 + k. Factor -4/3*z**2 + 14/3*z - 14/3*z**n + 4/3.
-2*(z - 1)*(z + 1)*(7*z + 2)/3
Let p(h) be the first derivative of 10*h**3/3 + h**2 + 3*h - 12. Let n(u) = 20*u**2 + 5*u + 5. Let z(c) = -3*n(c) + 5*p(c). Solve z(s) = 0 for s.
-1/2, 0
Let r(l) = l**2 + 12*l - 19. Let x be r(-14). Suppose 10 - 4 - x*t - 4 + 11*t**2 - 4 = 0. Calculate t.
-2/11, 1
Let q(o) = -3*o**3 + 3*o**2 - 2*o. Let m(i) = 10*i**3 - 7*i**2 + 4*i. Let u(p) = 4*m(p) + 14*q(p). Factor u(f).
-2*f*(f - 6)*(f - 1)
Let h = -12 - -15. Factor 2*a**h - a**3 - a - 2*a - 2 + 0*a.
(a - 2)*(a + 1)**2
Let f(b) = -3*b**2 + 8*b - 7. Let h = -2 - -6. Let g(j) be the first derivative of j**3 - 4*j**2 + 8*j - 176. Let p(y) = h*f(y) + 3*g(y). Factor p(u).
-(u - 2)*(3*u - 2)
Let w(t) be the second derivative of 2*t**7/21 + 34*t**6/15 + 69*t**5/5 + 115*t**4/3 + 172*t**3/3 + 48*t**2 + 145*t. Factor w(b).
4*(b + 1)**3*(b + 2)*(b + 12)
Let j(q) be the first derivative of -q**2 + 12*q + 6. Let y be j(5). Determine z, given that 0*z**3 + y*z**2 - 4*z**2 + 2 + 2*z**3 - 2*z = 0.
-1, 1
Suppose 3 = 3*u - 3*f - 18, -5 = -5*u - f. Let r(m) be the first derivative of 2/5*m + 2/15*m**3 + 2/5*m**2 - u. Factor r(s).
2*(s + 1)**2/5
Let q be (2/(-4))/(1/(-6)). Factor -6*r + 2*r**2 - 8 + 0*r - 6*r + 4*r + 2*r**q.
2*(r - 2)*(r + 1)*(r + 2)
Let l(p) be the first derivative of -2/3*p**3 - 5 + 1/6*p**4 + 14*p + p**2. Let a(s) be the first derivative of l(s). Factor a(r).
2*(r - 1)**2
Let c(g) be the second derivative of g**3/6 - g**2/2 + g. Let o be c(3). Determine a, given that -13*a**3 + 16*a**3 - 4*a**2 + a**o = 0.
0, 1
Let x = 69 - -383. Let k = x + -3158/7. Factor 4/7 + k*m**2 + 10/7*m.
2*(m + 1)*(3*m + 2)/7
Let p(z) = -z**2 + 9*z - 18. Let h be p(4). Find k such that -5*k**3 - 57*k**2 + 65*k**h - 4*k + k**3 = 0.
0, 1
Let b be (-16)/(-136)*1 + (-6)/(-272)*6. Factor 1/4*k - 1/4*k**3 - b*k**2 + 1/4.
-(k - 1)*(k + 1)**2/4
Factor -17 + 21 + 4*f - f**2 + 6*f - 3*f - 4*f.
-(f - 4)*(f + 1)
Suppose 815 = -13*x - 4. Let k = x + 67. Factor -4/5 + 4/5*o - 4/5*o**3 + 1/5*o**k + 3/5*o**2.
(o - 2)**2*(o - 1)*(o + 1)/5
Let 0 + 9/2*k**5 - 15*k**4 - 81/2*k - 36*k**3 + 135*k**2 = 0. Calculate k.
-3, 0, 1/3, 3
Let c(b) be the second derivative of -1/84*b**7 + 0*b**4 + 0*b**5 + 0 + 1/60*b**6 + 13*b + 0*b**3 + 0*b**2. Find f, given that c(f) = 0.
0, 1
Suppose -142 = -6*p - 40. What is r in 6*r + 27*r**3 - 9*r**5 - 24*r**2 + 15*r + 2*r**4 - p*r = 0?
-2, 0, 2/9, 1
Let n(v) be the third derivative of -v**8/3360 + v**7/840 - v**6/720 - 15*v**3/2 + 31*v**2. Let o(r) be the first derivative of n(r). Factor o(j).
-j**2*(j - 1)**2/2
Let a(n) be the second derivative of n**5/20 - n**4/12 - n**3/3 + 3*n**2/2 + 7*n. Let d be a(0). Factor -1/2*b**d - 1/2*b**2 + b + 0.
-b*(b - 1)*(b + 2)/2
Let r(s) be the second derivative of -s**7/42 + 7*s**6/30 - 4*s**5/5 + 2*s**4/3 + 8*s**3/3 - 8*s**2 + 86*s. Factor r(a).
-(a - 2)**4*(a + 1)
Factor -18*b - 3/8*b**3 - 24 - 9/2*b**2.
-3*(b + 4)**3/8
Let a(i) be the third derivative of i**6/360 + 5*i**3/2 - 7*i**2. Let q(r) be the first derivative of a(r). Factor q(h).
h**2
Let c = 88 + -86. Let j = -6 - -10. Factor -c*z + 0*z - 6*z**3 - 3*z**j + 5*z + 3*z + 3*z**2.
-3*z*(z - 1)*(z + 1)*(z + 2)
Let u(i) = -i + 64. Let d(a) = a - 32. Let x(j) = -5*d(j) - 2*u(j). Let n be x(10). Factor -10*q**n - 16*q**3 - 10*q**2 + 0*q + q - 5*q.
-4*q*(q + 1)*(4*q + 1)
Let n(f) = f**2 + 6*f - 1. Let y be n(-7). Suppose 2*u - 3*u = -5. Suppose -y*x**3 - 3*x**u + 7*x**5 + 2*x**3 = 0. Calculate x.
-1, 0, 1
Let h(f) be the first derivative of 20 - 2/55*f**5 - 1/11*f**6 + 1/2*f**4 + 8/11*f - 8/11*f**2 - 2/11*f**3. Suppose h(w) = 0. What is w?
-2, -1, 2/3, 1
Suppose -6*o - o + 630 = 0. Let u be (-4)/18 - (-425)/o. Factor 3*g**4 - 3/4*g + 0 - 3/4*g**5 + 3*g**2 - u*g**3.
-3*g*(g - 1)**4/4
Let m be 38/171 + (-104)/(-18). Let j(z) be the second derivative of -1/15*z**m + 1/6*z**4 + 0 + 0*z**5 + 0*z**2 + 1/6*z**3 - 1/42*z**7 + 5*z. Factor j(w).
-w*(w - 1)*(w + 1)**3
Let w(d) be the second derivative of 0 + 1/28*d**4 + 2/7*d**2 - 16*d + 13/42*d**3. Factor w(p).
(p + 4)*(3*p + 1)/7
Let c(r) be the second derivative of 19*r - 1/9*r**4 + 0 - 1/60*r**5 - 2/9*r**3 + 0*r**2. Factor c(d).
-d*(d + 2)**2/3
Le