the second derivative of l + 1/35*v**5 - 2/7*v**2 - 5/21*v**3 - 1/42*v**4 - 2*v. Determine u so that s(u) = 0.
-1, -1/2, 2
Suppose 4*l = -5*o - 20, l = -3*o + 6*o - 5. Factor f + o*f**2 + 2/3 - 1/3*f**3.
-(f - 2)*(f + 1)**2/3
Determine c so that 4*c**4 + 9 + c**5 + c + 4*c**2 + 6*c**3 - 9 = 0.
-1, 0
Let a = -63 + 65. Factor -2/7*b**5 + 0*b + 2/7*b**3 - 2/7*b**4 + 0 + 2/7*b**a.
-2*b**2*(b - 1)*(b + 1)**2/7
Let m(v) be the third derivative of -1/168*v**8 - 1/36*v**6 + 0*v**3 + 0*v**4 - 3*v**2 + 1/90*v**5 + 0 + 0*v + 1/45*v**7. Factor m(b).
-2*b**2*(b - 1)**2*(3*b - 1)/3
Let t(j) be the second derivative of j**6/60 + 3*j**5/40 - j**3/3 - 9*j. Find m such that t(m) = 0.
-2, 0, 1
Let z = -30 + 32. Factor 0*b**3 + 0*b + 1/3*b**z + 0 - 1/3*b**4.
-b**2*(b - 1)*(b + 1)/3
Suppose -3*z + 2*g - 3*g + 4 = 0, -3*g + 2 = 4*z. Find j such that 5*j**3 + j**3 + 12*j - 54*j**2 + 42*j**z - 3*j**3 = 0.
0, 2
Let u(h) be the second derivative of -h**5/120 - h**4/12 - h**3/3 - 2*h**2/3 + 4*h. Factor u(k).
-(k + 2)**3/6
Let f(k) = -4*k**2 - 10 - 10*k + 4 - 3 + 5*k**2. Let r be f(11). Let -2/9*q**3 - 4/9 + 4/9*q**r + 2/9*q = 0. Calculate q.
-1, 1, 2
Let c(p) = -2*p + 34. Let h be c(16). Factor 2/3*i**3 - 2/3 + 2*i - 2*i**h.
2*(i - 1)**3/3
Suppose -2*b + 2*o = 0, 2*b + o - 25 = -2*b. Factor -1/4*p**3 + 0*p + 1/4*p**b + 0*p**4 + 0 + 0*p**2.
p**3*(p - 1)*(p + 1)/4
Let p(n) be the second derivative of -n**8/6720 + n**7/360 - n**6/48 + 3*n**5/40 - 5*n**4/12 - 6*n. Let c(o) be the third derivative of p(o). Factor c(f).
-(f - 3)**2*(f - 1)
Let t(w) = -2 - w**2 - 3*w + 4*w**2 + 0*w**2 - 2*w**2. Let n be t(4). Factor 0*u + 1/6*u**4 + 0*u**n + 1/6*u**3 + 0.
u**3*(u + 1)/6
Suppose 4*t - 72 = -0*t. Solve 7 - 9 - 1 - 3*z + t*z**2 = 0 for z.
-1/3, 1/2
Factor -1 - t**4 - 2*t**3 + t - 2*t**2 + 0*t**5 + t**5 + 4*t**2.
(t - 1)**3*(t + 1)**2
Factor 1 - 9*x**4 - 2*x**2 - 6*x - 24*x**3 + 10*x**2 + 4*x**5 + 26*x**3.
(x - 1)**3*(x + 1)*(4*x - 1)
Let b(d) be the third derivative of -d**8/3360 + d**7/630 - d**6/360 - d**4/8 - d**2. Let g(f) be the second derivative of b(f). Factor g(t).
-2*t*(t - 1)**2
Let n = 244/231 + -30/77. Factor 2/3 + n*u**4 + 8/3*u**3 + 8/3*u + 4*u**2.
2*(u + 1)**4/3
Let u(m) be the third derivative of m**7/1260 - m**6/360 - m**5/360 + m**4/72 - m**2. Factor u(q).
q*(q - 2)*(q - 1)*(q + 1)/6
Let l = 4 - -3. Let r = 13 - l. Factor 2*g**4 + 0*g**4 - 6*g**3 + 6*g**2 - r*g + 4*g.
2*g*(g - 1)**3
Let b(j) = -j**2 + j + 1. Let c(z) = 5*z**2 - 60*z - 40. Let i(p) = 25*b(p) + c(p). Factor i(g).
-5*(g + 1)*(4*g + 3)
Factor 0 + 0*o - 2/7*o**2 + 2/7*o**3.
2*o**2*(o - 1)/7
Factor 4*y**2 - 5*y**2 + y**3 + 5*y**2 + y + 3*y.
y*(y + 2)**2
Let s = -1084 - -5438/5. Find u such that -26/5*u - 8*u**2 - s*u**3 - 4/5 = 0.
-1, -2/9
Suppose 2*z - 5*h - 20 = 0, 2*z = 4*z + 4*h - 2. Factor 4*x**2 - 4*x**3 + 2*x**4 - 2/5*x**z + 2/5 - 2*x.
-2*(x - 1)**5/5
Suppose -32 - 4 = -12*m. Factor -1/4*y**5 + 0*y - 1/4*y**m + 0*y**2 + 1/2*y**4 + 0.
-y**3*(y - 1)**2/4
Let n(k) be the third derivative of -1/32*k**4 + 1/80*k**5 + 0 + 5*k**2 + 0*k**3 + 0*k. Find r such that n(r) = 0.
0, 1
Let h(t) be the first derivative of t**4/22 - 3*t**2/11 + 4*t/11 - 1. What is n in h(n) = 0?
-2, 1
Let d(l) be the first derivative of -1/9*l**4 - 4 + 2/3*l**3 + 0*l**2 - 1/45*l**5 + 0*l - 1/540*l**6. Let y(a) be the third derivative of d(a). Factor y(z).
-2*(z + 2)**2/3
Let p(r) be the first derivative of r**6/720 + r**5/40 + 3*r**4/16 + 2*r**3/3 - 2. Let u(h) be the third derivative of p(h). Determine j so that u(j) = 0.
-3
Let p = 14 + -11. Suppose -5*r**5 + 0*r**3 - 3*r**2 + p*r**5 - r**5 + 3*r**3 + 3*r**4 = 0. Calculate r.
-1, 0, 1
Let n = -12 - -16. Let a be 6/(-4)*n/(-21). Let -2/7 - a*j**2 - 4/7*j = 0. Calculate j.
-1
Let a be 56/(-1)*(-6)/(-1780). Let x = 1/89 - a. Factor x + 3/5*h**3 - h**2 + 1/5*h.
(h - 1)**2*(3*h + 1)/5
Let n(r) be the third derivative of -7*r**6/40 + 3*r**5/16 - r**4/16 + 16*r**2. Solve n(o) = 0 for o.
0, 1/4, 2/7
Let t(m) = -9*m + 12. Let w(c) = -c**2 - 8*c + 12. Suppose -a + 3 = -0. Let i(j) = a*w(j) - 4*t(j). Factor i(g).
-3*(g - 2)**2
Let c(r) be the second derivative of r**9/7560 - r**8/2520 + r**7/3780 - r**4/12 + r. Let o(i) be the third derivative of c(i). Let o(u) = 0. Calculate u.
0, 1/3, 1
Let y(s) = 9*s**4 - 10*s**3 + 2*s**2 + 2. Let z(w) = 36*w**4 - 39*w**3 + 7*w**2 + 9. Let h(d) = 9*y(d) - 2*z(d). Solve h(i) = 0 for i.
0, 2/3
Let x(s) = -3*s**3 - 3*s**2 - 13*s + 11. Let r(o) = o**3 + o - 1. Let h(k) = 4*r(k) + x(k). Let t(c) be the first derivative of h(c). Solve t(a) = 0 for a.
-1, 3
Let u(b) = -4. Let p(i) = -i. Let r(v) = -4*p(v) + u(v). Let a(m) = -m**2 + m. Suppose q = -4*q + 5. Let w(s) = q*r(s) + 2*a(s). Factor w(x).
-2*(x - 2)*(x - 1)
Determine w, given that -w + 20*w**4 - 2*w**3 + 3*w - 22*w**4 + 2*w**2 = 0.
-1, 0, 1
Let z(k) = 6*k - 2. Let v be z(1). Solve -1/4 + m - 1/4*m**v + m**3 - 3/2*m**2 = 0.
1
Let n = 47/48 + -5/16. Factor -1/3*c**2 - n*c - 1/3.
-(c + 1)**2/3
Let v(m) be the third derivative of -m**5/90 + m**4/18 - m**3/9 + 8*m**2. Solve v(z) = 0.
1
Suppose 10 = -3*v + 8*v. Factor 2*h**2 + v*h**3 - 4*h**2 + 0*h**2 + 0*h**3.
2*h**2*(h - 1)
Let c(q) = q**2 - 4*q. Let g(r) = -r**2 + 4*r. Let w(l) = 5*c(l) + 4*g(l). Let w(i) = 0. Calculate i.
0, 4
Factor -1/3*n**3 + n + 0*n**2 - 2/3.
-(n - 1)**2*(n + 2)/3
Let n(v) be the third derivative of 0*v - 2*v**2 - 1/12*v**4 + 0*v**5 + 1/30*v**6 + 0*v**7 + 0 + 0*v**3 - 1/168*v**8. Factor n(g).
-2*g*(g - 1)**2*(g + 1)**2
Let w(x) be the second derivative of -x**6/6 + 5*x**4/6 - 5*x**2/2 + 6*x. Factor w(r).
-5*(r - 1)**2*(r + 1)**2
Let t(c) be the second derivative of -c**4/4 + 3*c**3 - 19*c. Solve t(a) = 0 for a.
0, 6
Let p(r) = -3*r**2 + 13*r - 3. Let w(n) be the first derivative of -n**3 + 6*n**2 - 3*n - 4. Let c(b) = 6*p(b) - 7*w(b). Factor c(g).
3*(g - 1)**2
Let n = -328 + 657/2. Factor n*o**2 + 0 - o.
o*(o - 2)/2
Factor 14*f**2 - 2*f**3 - 5*f**2 + 6*f + 5*f**3.
3*f*(f + 1)*(f + 2)
Let q be -1 + (-2 - -4)/2. Let y = 0 + q. Let -2/9*s + 2/9*s**2 + y = 0. Calculate s.
0, 1
Let f(p) be the second derivative of p**7/21 - p**6/3 + 3*p**5/5 + 2*p**4/3 - 8*p**3/3 + p. Determine n, given that f(n) = 0.
-1, 0, 2
Let h(x) = -10*x - 17. Let z be h(-2). Let k(m) be the third derivative of -1/120*m**6 + 0*m**5 - m**2 + 0 + 0*m**z + 1/24*m**4 + 0*m. Let k(w) = 0. What is w?
-1, 0, 1
Factor 24*q**3 + 48*q**2 - 16*q**2 + 9*q - 4*q**5 - 4*q + 7*q.
-4*q*(q - 3)*(q + 1)**3
Let l(r) be the second derivative of 9*r + 0*r**2 - 1/10*r**4 + 0 + 0*r**3 - 21/100*r**5. Factor l(t).
-3*t**2*(7*t + 2)/5
Let a(r) be the third derivative of -2*r**5/15 + r**4/6 + 2*r**3/3 - 35*r**2. Factor a(p).
-4*(p - 1)*(2*p + 1)
Let m(t) = -t - 1. Let u(v) = 6*v + 4. Let l(r) = 5*m(r) + u(r). Let h(x) = 2*x**2 - 9*x + 15. Let j(a) = h(a) - 3*l(a). Factor j(o).
2*(o - 3)**2
Let b(t) be the first derivative of 2*t**5/25 - 2*t**4/5 - 8*t**3/5 + 32*t**2/5 + 128*t/5 - 9. Factor b(k).
2*(k - 4)**2*(k + 2)**2/5
Let i = 26 - 4. Let 16*p + i - 24 - 9*p**2 + 34 + 11*p**2 = 0. Calculate p.
-4
Let n = 881/5 + -176. Solve -n*q**3 + 0*q - 2/5*q**2 + 0 = 0.
-2, 0
Solve -10/13*x**2 - 8/13*x - 6/13*x**5 + 0 + 38/13*x**3 - 14/13*x**4 = 0 for x.
-4, -1/3, 0, 1
Let z(y) be the third derivative of -y**11/16632 + y**10/5400 - y**9/7560 - y**5/20 - 9*y**2. Let g(k) be the third derivative of z(k). Let g(c) = 0. What is c?
0, 2/5, 1
What is u in -4*u**4 + 19*u**2 + 4*u**5 - 12*u**3 + 12*u**2 - 8*u - 11*u**2 = 0?
-2, 0, 1
Let j(k) be the second derivative of 1/10*k**5 + 1/3*k**6 + 0 - 3*k + 1/7*k**7 + 0*k**3 + 0*k**2 - 1/6*k**4. Find h such that j(h) = 0.
-1, 0, 1/3
Determine n, given that 4*n + 20*n**3 - 21*n**3 - 5*n - 2*n**2 = 0.
-1, 0
Let k(t) = t**4 - 1. Let w(m) = 4*m**4 + 3*m**3 + m**2 - 3*m - 5. Let g be ((-1)/(-3))/((-2)/12). Let v(u) = g*w(u) + 6*k(u). Factor v(x).
-2*(x - 1)*(x + 1)**2*(x + 2)
Let b(d) be the first derivative of d**3/12 - 2. Factor b(r).
r**2/4
Suppose -2*m = -12*m. Let k(i) be the second derivative of 1/12*i**4 - 1/20*i**5 + 0*i**3 - 4*i + m*i**2 + 0. Suppose k(r) = 0. Calculate r.
0, 1
Let w(p) be the first derivative of -4 - 1/180*p**6 - 1/2*p**2 + 1/90*p**5 + 0*p + 0*p**3 + 0*p**4. Let q(j) be the second derivative of w(j). Factor q(d).
-2*d**2*(d - 1)/3
Factor 