). Let k(n) be the third derivative of 1/20*n**5 + 0 - 1/4*n**4 - 5*n**2 + 1/2*n**i + 0*n. Factor k(f).
3*(f - 1)**2
Let b(f) be the first derivative of f**5/5 - 4*f**3/3 - 432. Factor b(l).
l**2*(l - 2)*(l + 2)
Let a be (-5)/7 - (745/35 - 26). Factor -2/3*x**3 + 0 + 1/3*x**5 + 0*x + 0*x**2 - 1/3*x**a.
x**3*(x - 2)*(x + 1)/3
Let o(u) = -u**3 - u**2 - 341*u - 684. Let r be o(-2). Solve 6/7 - 2*w**r + 8/7*w = 0.
-3/7, 1
Let -6*n**3 - 14*n**3 + 16*n**3 + 4*n**4 = 0. Calculate n.
0, 1
Let k(p) = -2*p**3 - p**2 - 2*p. Let o(t) = 2*t**4 + 22*t**3 + 26*t**2 + 18*t. Let r(q) = 4*k(q) + o(q). Solve r(g) = 0.
-5, -1, 0
Let b(p) be the second derivative of p**5/20 + 7*p**4/2 + 98*p**3 - 6*p**2 + 49*p. Let s(q) be the first derivative of b(q). Determine o, given that s(o) = 0.
-14
Let n(h) be the third derivative of h**8/168 - 2*h**7/21 - 23*h**6/60 - 2*h**5/5 + 158*h**2. Factor n(d).
2*d**2*(d - 12)*(d + 1)**2
Let w(v) be the third derivative of -v**5/210 - v**4/42 + 8*v**3/7 - 381*v**2. Factor w(r).
-2*(r - 4)*(r + 6)/7
Factor 15/7*f - 3/7*f**2 + 0.
-3*f*(f - 5)/7
Let x(a) be the third derivative of 0*a**3 + 4/3*a**4 + 1/42*a**8 - 2*a**2 + 2/5*a**7 + 0*a + 0 + 22/15*a**6 + 11/5*a**5. Solve x(q) = 0 for q.
-8, -1, -1/2, 0
Let b = 711 + -708. Suppose 8/13 - 32/13*g - 22/13*g**b + 42/13*g**2 + 4/13*g**4 = 0. What is g?
1/2, 1, 2
Let a be (0 - (15 - 8)) + 1 + 10. Let g(f) be the first derivative of 63/4*f**3 + 147/32*f**4 + 3*f - a + 45/4*f**2. Factor g(k).
3*(k + 2)*(7*k + 2)**2/8
Let r(d) be the second derivative of 24/7*d**2 + 0 - 3/35*d**5 - 1/70*d**6 - 38*d + 0*d**4 + 8/7*d**3. Determine p so that r(p) = 0.
-2, 2
Let f(j) be the third derivative of j**6/840 - j**5/60 - j**4/6 - 10*j**3/21 - 674*j**2. Let f(w) = 0. Calculate w.
-2, -1, 10
Suppose -4*q + 3*d = -0*d - 23, 4*d + 19 = 3*q. Suppose -q*t = f - 6 + 2, 2*f + 2*t - 8 = 0. Factor 6*l**2 + l**3 + 0 - 8 - 2*l**f - 5*l**3 + 8*l.
-2*(l - 1)**2*(l + 2)**2
Let k be 110/4*(-72)/(-45). Suppose -k - 21 = -13*f. Factor 0 - 8/5*j**3 + 4/5*j + 4/5*j**f + 0*j**4 + 0*j**2.
4*j*(j - 1)**2*(j + 1)**2/5
Suppose 3*p - p = -4*l + 2, 10 = 5*p + 5*l. Factor -z + 3*z + 1 - z + 4*z + 7*z**2 + p*z**3.
(z + 1)**2*(3*z + 1)
Let t(b) be the first derivative of -5/2*b**2 - 1/240*b**5 - 1/24*b**4 - 1/8*b**3 + 4 + 0*b. Let a(h) be the second derivative of t(h). Factor a(n).
-(n + 1)*(n + 3)/4
Let u be (90/(-54))/(105/(-81)). Factor u*i**2 - 24/7*i - 9/7.
3*(i - 3)*(3*i + 1)/7
Let l(k) = -3*k**4 + 9*k**2 + 6*k + 4. Let d(i) = 15*i**4 - 45*i**2 - 30*i - 21. Let y(s) = -4*d(s) - 21*l(s). Factor y(u).
3*u*(u - 2)*(u + 1)**2
Let a(s) = -s**2 - 6*s + 12. Let q be a(-7). Let t(l) = l**2 + 5*l + 6. Let z(k) = 1. Let u(c) = q*t(c) - 10*z(c). Factor u(v).
5*(v + 1)*(v + 4)
Let a(p) = -5*p**4 + 41*p**3 - 39*p**2 + 13. Let f(t) = -2*t**4 + 21*t**3 - 20*t**2 + 7. Let x(v) = 3*a(v) - 5*f(v). Factor x(s).
-(s - 2)*(s - 1)**2*(5*s + 2)
Let i = -829/5 + 5883/10. Factor 5/2*g**2 + i + 65*g.
5*(g + 13)**2/2
Let f(t) be the third derivative of -t**8/112 - t**7/70 + t**6/20 + t**5/10 - t**4/8 - t**3/2 - 437*t**2. Factor f(o).
-3*(o - 1)**2*(o + 1)**3
Determine m so that -6*m**4 - 12*m**5 + 2*m**4 + 48*m**3 - 28*m**4 + 109*m**2 + 64*m + 35*m**2 - 12*m**4 = 0.
-4, -1, -2/3, 0, 2
Let b(n) be the second derivative of -n**4/24 + 71*n**3/12 + 18*n**2 + 15*n - 3. Solve b(g) = 0 for g.
-1, 72
Let k = -174 - -243. Let i = k + -38. Determine g so that 14 - 25*g**2 + 6*g**3 + 0*g**3 - g**3 + i + 15*g = 0.
-1, 3
Let b(i) be the third derivative of 4/21*i**3 + 0*i + 7*i**2 + 0 + 0*i**4 - 1/210*i**5. Solve b(f) = 0.
-2, 2
Let o(q) be the first derivative of 0*q**2 - 24 + 0*q + 1/30*q**5 - 1/24*q**4 + 1/36*q**6 - 1/18*q**3. Factor o(u).
u**2*(u - 1)*(u + 1)**2/6
Let a(o) = -o**2 - 36*o - 263. Let b(u) = -2*u**2 + 3*u - 1. Let d(q) = a(q) - 3*b(q). What is l in d(l) = 0?
-4, 13
Let b(i) be the second derivative of i**4/18 - 16*i**3/9 - 19*i**2 - 630*i. Find g, given that b(g) = 0.
-3, 19
Let d(l) be the first derivative of 1/7*l**2 + 2/35*l**5 - 1/14*l**4 + 4/7*l - 43 - 2/7*l**3. Factor d(h).
2*(h - 2)*(h - 1)*(h + 1)**2/7
Let s(z) be the first derivative of -2*z**3/3 + 30*z**2 - 58*z + 781. Factor s(t).
-2*(t - 29)*(t - 1)
Let l(i) = -i**3 + i**2. Let w(d) = -d**3 + 11*d**2 - 10*d. Let y(k) = 6*l(k) - w(k). Let y(c) = 0. Calculate c.
-2, 0, 1
Factor -4/3*f**2 + 1/3 - f.
-(f + 1)*(4*f - 1)/3
Let i(v) be the third derivative of v**8/47040 - v**7/8820 + v**6/5040 - v**4/12 - 11*v**2. Let c(j) be the second derivative of i(j). Solve c(o) = 0 for o.
0, 1
Let v(d) be the third derivative of 1/350*d**7 + 0*d**3 - 1/10*d**4 + 0*d + 0 + 1/200*d**6 - 1/25*d**5 - 7*d**2. Factor v(o).
3*o*(o - 2)*(o + 1)*(o + 2)/5
Let l(w) be the first derivative of -w**6/3 + 8*w**5 - 145*w**4/2 + 300*w**3 - 540*w**2 + 432*w + 99. Determine s, given that l(s) = 0.
1, 6
Let i(y) = -9*y**4 + 24*y**3 - 45*y**2 + 12*y + 12. Let u(g) = g**4 + g**2 + g - 2. Let l(n) = -i(n) - 6*u(n). Factor l(s).
3*s*(s - 6)*(s - 1)**2
Let l be 0/1 - (2 - 6). Let n(b) = 30*b + 4. Let i be n(0). Factor -11*f**3 - l*f**2 + 3*f**2 + 9*f**3 - f**i.
-f**2*(f + 1)**2
Let k = -2975/2 - -1489. Solve -k*w - 1/2*w**2 - 1 = 0.
-2, -1
Suppose 4*d = -14*d + 8*d. Suppose p + d*p = 4*p. Let 0 + 0*c**2 + p*c**3 + 0*c - 1/3*c**4 - 1/3*c**5 = 0. Calculate c.
-1, 0
Let c(x) = 50*x**3 + 381*x**2 + 154*x - 10. Let f(i) = 24*i**3 + 190*i**2 + 76*i - 4. Let g(o) = 2*c(o) - 5*f(o). Determine l so that g(l) = 0.
-9, -2/5, 0
Let l(b) be the first derivative of b**6/72 - b**5/12 - 7*b**3/3 + 19. Let u(j) be the third derivative of l(j). What is i in u(i) = 0?
0, 2
Let g(b) be the second derivative of 1/90*b**5 + 2/9*b**3 + 2*b**2 - b + 1/12*b**4 + 0. Let h(o) be the first derivative of g(o). Factor h(n).
2*(n + 1)*(n + 2)/3
Let i(m) be the first derivative of -2*m**3/15 - 22*m**2/5 - 16*m + 229. Solve i(o) = 0.
-20, -2
Let c = -25767 - -25769. Find o such that -o**5 + 5*o**3 - 2*o**c - 4*o + 8/5 + 2/5*o**4 = 0.
-2, -1, 2/5, 1, 2
Let q(p) be the second derivative of p**5/20 - p**4/8 + 7*p**2 + 19*p. Let g(s) be the first derivative of q(s). Factor g(o).
3*o*(o - 1)
Suppose 174 + 38 = 2*v. Factor -n**5 - 106*n**2 + n**3 + v*n**2.
-n**3*(n - 1)*(n + 1)
Suppose 2*c + 211 - 17 = 0. Let u = 99 + c. Solve -2/5*i**u + 0*i + 0 = 0.
0
Let g(c) = c**2 - 36*c + 29. Let q(f) = -2*f**2 + 73*f - 58. Let j(v) = -13*g(v) - 6*q(v). Factor j(k).
-(k - 29)*(k - 1)
Let w(g) be the second derivative of g**6/60 + g**5/10 - g**4/3 - 45*g**2/2 + 39*g. Let b(m) be the first derivative of w(m). Determine y, given that b(y) = 0.
-4, 0, 1
Let m(q) = 5 + 2 + 6 - 12. Let w(x) = -x**2 - 8*x + 5. Let a(g) = 2*g**2 + 17*g - 10. Let f(u) = -6*a(u) - 13*w(u). Let c(b) = 3*f(b) + 15*m(b). Factor c(r).
3*r*(r + 2)
Let y(q) be the third derivative of q**8/20160 - q**7/280 + 9*q**6/80 + 11*q**5/30 - 10*q**2. Let d(k) be the third derivative of y(k). Factor d(p).
(p - 9)**2
Let -1/2*u**2 + 130*u - 8450 = 0. Calculate u.
130
Let w = -1611 - -1611. Let d(l) be the second derivative of 0*l**4 + 0*l**2 - 21/20*l**5 + 2*l**3 - 6*l - 3/10*l**6 + w. Factor d(i).
-3*i*(i + 1)*(i + 2)*(3*i - 2)
Let i be 2*(-9)/6 + 12. Find u, given that 12*u - 3 - 3*u**5 + i*u**3 + 11*u**2 + 13*u**2 - 6*u**4 + 3 = 0.
-2, -1, 0, 2
Let p be 18/(-8)*9/(297/(-44)). Find r such that -2/5*r**4 + 1/5*r + 0 + 2/5*r**2 - 4/5*r**p + 3/5*r**5 = 0.
-1, -1/3, 0, 1
Let d(u) be the first derivative of 0*u**5 + 1 + 0*u - 1/2*u**4 + 0*u**3 + 1/3*u**6 + 0*u**2. Let d(q) = 0. What is q?
-1, 0, 1
Let m(d) be the second derivative of d**5/10 + 7*d**4/3 - 32*d**3/3 - 518*d. Suppose m(o) = 0. Calculate o.
-16, 0, 2
Let t(a) be the first derivative of 7*a**5/55 + 3*a**4/4 - 10*a**3/33 + 147. Factor t(r).
r**2*(r + 5)*(7*r - 2)/11
Let t(n) be the second derivative of -8/105*n**6 - 7*n - 2/147*n**7 + 0*n**3 + 0 - 1/7*n**5 + 0*n**2 - 2/21*n**4. Let t(w) = 0. Calculate w.
-2, -1, 0
Let v(w) = w**3 - 4*w**2 + w + 9. Let c be v(3). Let d = 14 - 12. Factor 1/2*l**2 + l - d - 1/4*l**c.
-(l - 2)**2*(l + 2)/4
Let g(o) be the second derivative of o**4/6 - 11*o**3/3 - 12*o**2 + 15*o - 3. Factor g(m).
2*(m - 12)*(m + 1)
Let u(s) = s**2 + 2*s - 32. Suppose -22*x = -11*x - 55. Let w be u(x). Let -1/5*j + 0 - 2/5*j**2 + 0*j**w + 1/5*j**5 