z**3 + 11*z**2 - 11*z - 11. Let g(n) = -2*j(n) - 11*p(n). Factor g(m).
-m**3*(m + 1)**2
Let g be (20/35)/((-4)/(-14)). Let k(w) be the first derivative of 1 + 2/25*w**5 + w**g - 4/5*w - 1/10*w**4 - 2/5*w**3. Suppose k(t) = 0. Calculate t.
-2, 1
Let b(r) be the second derivative of r**6/3 - 7*r**5/10 - r**4/2 + 7*r**3/3 - 2*r**2 - 4*r. Solve b(d) = 0.
-1, 2/5, 1
Let c(p) = 4*p**2 + 23*p + 32. Let k be c(-2). Find a, given that 2/7*a**3 + 8/7*a**k - 8/7*a**4 - 2/7*a + 0 = 0.
-1, 0, 1/4, 1
Suppose -h - 5 + 1 = 0. Let l(y) = 10 + 4*y**2 + 7 - 12. Let p(t) = t + 1. Let c(j) = h*p(j) + l(j). Suppose c(w) = 0. Calculate w.
1/2
Let c(u) be the first derivative of 9/4*u**4 - 3*u + 4 - 9/2*u**2 + u**3. Factor c(t).
3*(t - 1)*(t + 1)*(3*t + 1)
Let w(l) be the second derivative of 0*l**4 + 0*l**2 + 1/900*l**6 - 1/6*l**3 + 0 + 2*l + 1/300*l**5. Let u(o) be the second derivative of w(o). Factor u(b).
2*b*(b + 1)/5
Let p = 17 + -11. Suppose 0 = 3*b - p*b. Factor 1/5*w**5 - 1/5*w**3 + 0*w + b*w**4 + 0*w**2 + 0.
w**3*(w - 1)*(w + 1)/5
Determine d, given that 0 - 8/13*d - 2/13*d**2 = 0.
-4, 0
Suppose -5*v = -7 - 18. Suppose 0 = -v*s + 9 + 6. Determine h so that 0*h + 7/3*h**s + 0 + 2/3*h**2 = 0.
-2/7, 0
Suppose 0*h - h = 0. Let s be (-36)/(-15) - 2/5. Factor h*d + 0 - 2/5*d**3 + 0*d**s.
-2*d**3/5
Suppose -3*c = -6 - 0. Let j(k) = 17*k. Let p be j(1). Let p + 2*q**3 - 4*q**2 + c*q - 17 = 0. Calculate q.
0, 1
Let o(d) be the second derivative of 0 + 0*d**2 - 1/105*d**6 - 1/42*d**4 + 0*d**3 + 1/35*d**5 + 3*d. Find c such that o(c) = 0.
0, 1
Factor 17*m**4 - 5*m - 3*m**3 + 2*m - 5*m**4 - 24*m**3 + 18*m**2.
3*m*(m - 1)**2*(4*m - 1)
Suppose 3*o + 19 = 2*b, 5 = -2*o + o. Let r = 13/5 + -21/10. Factor b*u**3 - r - 3*u**2 - 1/2*u**4 + 2*u.
-(u - 1)**4/2
Let a(t) be the second derivative of t**6/15 - 2*t**5/5 + 5*t**4/6 - 2*t**3/3 + t. Factor a(u).
2*u*(u - 2)*(u - 1)**2
Factor 29*f**3 - 5 + 26*f**3 - 15*f**2 + 15*f - 50*f**3.
5*(f - 1)**3
Let y(d) be the second derivative of d**6/25 - d**5/10 + d**4/30 + d**3/15 - 7*d. Determine c so that y(c) = 0.
-1/3, 0, 1
Factor -4*q**4 + 2*q**4 + 0*q**2 + 2*q**2 - 2*q**3 + 2*q**5.
2*q**2*(q - 1)**2*(q + 1)
Let g(s) = -2*s**5 - 7*s**4 + 7*s**3 + 15*s**2. Let h(y) = -y**4 - y**3 + y**2. Let b(w) = -2*g(w) + 6*h(w). Determine p so that b(p) = 0.
-3, -1, 0, 2
Let m(l) = 17*l**4 + 17*l**3 + 9*l**2 - 17*l. Let a(d) = 4*d**4 + 4*d**3 + 2*d**2 - 4*d. Let x(z) = 26*a(z) - 6*m(z). Factor x(t).
2*t*(t - 1)*(t + 1)**2
Factor 65 - 2*c**2 + 5*c**2 + 2*c - 71 - 5*c.
3*(c - 2)*(c + 1)
Let k(s) = 7*s + 37. Let p be k(-5). Suppose 0*r**4 + 0 + 0*r - 1/3*r**5 + 1/3*r**3 + 0*r**p = 0. Calculate r.
-1, 0, 1
Let o(v) be the third derivative of -v**9/6048 + v**8/6720 + v**7/1008 - v**6/720 - v**4/12 - 4*v**2. Let a(f) be the second derivative of o(f). Factor a(n).
-n*(n - 1)*(n + 1)*(5*n - 2)/2
Let k(g) = -2*g + 4. Let z be k(5). Let c(s) = -s - 2. Let b be c(z). Factor -3*d + b*d**2 + 2*d - 5*d**2 + 2*d**3.
d*(d - 1)*(2*d + 1)
Let o(w) be the first derivative of w**4/5 + 4*w**3/3 + 16*w**2/5 + 16*w/5 + 2. Find y such that o(y) = 0.
-2, -1
Let o(x) be the first derivative of 2*x**3/7 - 5*x**2/7 + 4*x/7 + 19. Factor o(m).
2*(m - 1)*(3*m - 2)/7
Factor 0 + 1/3*k + k**2 + 1/3*k**4 + k**3.
k*(k + 1)**3/3
Let o(m) be the third derivative of m**10/45360 - m**8/5040 + m**6/1080 + m**4/6 - m**2. Let g(f) be the second derivative of o(f). Find c, given that g(c) = 0.
-1, 0, 1
Let f(y) be the first derivative of y**6/54 + y**5/15 - y**4/9 - 16*y**3/27 + 16*y/9 - 9. Factor f(u).
(u - 2)*(u - 1)*(u + 2)**3/9
Let l(x) be the second derivative of x**4/3 - 2*x**3 + 4*x**2 - 3*x - 20. Factor l(d).
4*(d - 2)*(d - 1)
Suppose -3*v + 4 + 2 = 3*t, 0 = 5*t + 4*v - 8. Find q such that t*q + 0*q - 120*q**3 + 116*q**3 = 0.
0
Let q be -1*2*(-6)/4. Solve 0 - 3*o**2 + o**2 - q - 8*o - 5 = 0.
-2
Let t(f) be the first derivative of -13*f**4/4 + 3*f**3 - 11*f**2/2 + 11*f + 2. Let m(o) = 7*o**3 - 5*o**2 + 6*o - 6. Let p(r) = 11*m(r) + 6*t(r). Factor p(n).
-n**2*(n + 1)
Let j(q) be the first derivative of q**3/7 + 9*q**2/14 - 12*q/7 + 6. Let j(r) = 0. Calculate r.
-4, 1
Let h be (-1)/4*(-56)/2. Let a be (-3)/h - (-26)/28. Factor -a - o - 1/2*o**2.
-(o + 1)**2/2
Let j(l) be the first derivative of 8*l**5/5 - 5*l**4 + 4*l**3 + 2*l**2 - 4*l - 3. Factor j(k).
4*(k - 1)**3*(2*k + 1)
Let q be 16/36 + 20/90. Factor -2/9*y**3 - q*y + 2/9 + 2/3*y**2.
-2*(y - 1)**3/9
Let u(q) = 8*q**2 - 2*q. Let i(t) be the third derivative of -t**5/60 - 3*t**2. Let f(h) = 6*i(h) + u(h). Let f(b) = 0. Calculate b.
0, 1
Let s(q) be the third derivative of q**6/24 + q**5/4 + 5*q**4/8 + 5*q**3/6 - 26*q**2. Suppose s(j) = 0. What is j?
-1
Let k = 44 - 30. Suppose 0*m - 3*q + k = 2*m, -m = -3*q + 2. Suppose -l**m + 3*l**4 - l**4 + 2*l**5 + l**4 - 2*l**3 - 2*l**2 = 0. Calculate l.
-1, 0, 1
Let c(i) be the first derivative of -i**7/630 + i**6/180 - i**5/180 + i**2/2 - 9. Let b(w) be the second derivative of c(w). Determine v, given that b(v) = 0.
0, 1
Let o be (-16)/40 - (0 + 6/(-15)). Let k(g) be the first derivative of 7/10*g**5 - 4 + 4/3*g**3 + o*g - 19/8*g**4 + g**2. Suppose k(v) = 0. What is v?
-2/7, 0, 1, 2
Let l = -3708/5 + 746. Determine y so that 8/5*y**3 + l*y**2 + 2*y - 4/5 = 0.
-2, -1, 1/4
Let n(g) be the first derivative of 1/3*g**3 + 1/2*g**2 + 1/3*g + 1/12*g**4 - 6. Find z such that n(z) = 0.
-1
Solve -25*i**2 + 88*i**2 - 81*i + 4*i**4 + 18 - 19*i**3 + 9 - 2*i**4 = 0.
1/2, 3
What is j in -5*j**2 + 0*j**2 - 3*j + 2*j**2 = 0?
-1, 0
Let z be 18/(-21)*(-98)/21. Let w(g) be the second derivative of -1/20*g**5 + 0*g**2 - 1/12*g**z + 4*g + 1/3*g**3 + 0. Let w(q) = 0. What is q?
-2, 0, 1
Let m(w) = w**3 - 13*w**2 + 13*w - 7. Let a be m(12). Let d(g) be the first derivative of -1/12*g**4 + 0*g**2 + 1 + 0*g**3 - 1/15*g**a + 0*g. Factor d(k).
-k**3*(k + 1)/3
Suppose -2*i = 5*m - 19, -2*i - 6*m + 13 = -3*m. Factor 1/4*j**3 + 1/4*j**i + 0 - 1/4*j**4 - 1/4*j.
-j*(j - 1)**2*(j + 1)/4
Let c = 18 + -18. Determine z so that 6*z**3 - 7*z**3 + c + 2*z + 2 + z = 0.
-1, 2
Let h(c) be the third derivative of -c**8/336 - c**7/105 + c**6/60 + c**5/15 - c**4/24 - c**3/3 + 4*c**2. Suppose h(o) = 0. Calculate o.
-2, -1, 1
Let b be 1/(-8) + 325/1000. Factor 1/5*y**2 + 3/5 + b*y**3 - y.
(y - 1)**2*(y + 3)/5
Let y(b) be the second derivative of 0*b**3 + 1/48*b**4 + 0 - 5*b - 1/8*b**2. Suppose y(t) = 0. What is t?
-1, 1
Suppose 70 = 4*x - 2*v, -2*x + 33 = -0*x + v. Solve 0*r**2 + 12*r**2 + 10*r**3 - x + 2*r**4 - 8*r + 1 = 0.
-2, 1
Let j be 55/(-100) + 9/12. Determine c so that -1/5*c**4 + 3/5*c**3 - 3/5*c**2 + 0 + j*c = 0.
0, 1
Let x be (1 + 1 - 2)/(-53 + 55). Factor 4/3 + 0*z**3 - 8/3*z**2 + 4/3*z**4 + x*z.
4*(z - 1)**2*(z + 1)**2/3
Let m(g) be the third derivative of -1/3*g**3 + 0*g + 1/30*g**5 + 0*g**4 + 0 - 3*g**2. Factor m(v).
2*(v - 1)*(v + 1)
Suppose -3*o + 6*o = -3. Let k be -1 - o - 4/(-8). Factor -1/2*g**2 + 0*g + k.
-(g - 1)*(g + 1)/2
Let w(l) = l**2 + 19*l + 9. Let u be w(-17). Let h = u + 30. Factor 4/9*k**3 + 0*k**2 - 2/9*k**h + 0*k**4 + 0 - 2/9*k.
-2*k*(k - 1)**2*(k + 1)**2/9
Let u(m) = -12*m**5 + 8*m**4 + 8*m**2 - 4*m - 8. Let r(c) = -c**5 + c**4 - c**3 + c**2 - 1. Let p(a) = -8*r(a) + u(a). Find z, given that p(z) = 0.
-1, 0, 1
Suppose 5*s + h = 31 + 6, -4*s + 2*h = -38. Determine b, given that -44*b**5 - 8*b**4 + 2*b**3 + s*b**2 + 2*b**3 + 40*b**5 = 0.
-2, -1, 0, 1
Let w(j) = 6*j**2 - 2*j - 4. Let a(r) = r - 2*r + r + r**2 - r. Let x(k) = 8*a(k) - w(k). Factor x(g).
2*(g - 2)*(g - 1)
Let k(c) = c**3 + c**2 - c + 1. Let a(r) = 2*r**4 + 3*r**3 - 9*r**2 + 5*r + 1. Let p(n) = 2*a(n) - 2*k(n). Determine b, given that p(b) = 0.
-3, 0, 1
Let p(i) be the first derivative of 1/18*i**4 + 0*i**3 + 0*i + 0*i**2 - 2. Let p(u) = 0. What is u?
0
Let h(y) = -3*y + 23. Let q be h(7). Factor 5/2*z**3 + 0 - z - 3/2*z**q.
z*(z - 1)*(5*z + 2)/2
Let l(w) be the second derivative of -w**5/240 - 3*w**2/2 - 2*w. Let f(u) be the first derivative of l(u). Let f(v) = 0. Calculate v.
0
Let u(n) be the first derivative of 4*n**5/5 + n**4 - 4*n**3/3 - 2*n**2 - 8. Factor u(m).
4*m*(m - 1)*(m + 1)**2
Let k(p) be the third derivative of -p**7/630 + p**5/180 - 4*p**2. Factor k(n).
-n**2*(n - 1)*(n + 1)/3
Suppose -i + 4*i = 5*z - 21, 0 = 4*z - 4*i - 