/16 + c**3/8 + c**2/8 + 2*c - 2. Let k(f) be the first derivative of d(f). Factor k(x).
(x + 1)**3/4
Let w(c) be the second derivative of -4*c**7/3465 - c**6/495 - c**5/660 - c**4/6 + 5*c. Let y(x) be the third derivative of w(x). Let y(h) = 0. Calculate h.
-1/4
Let o(n) be the second derivative of -1/6*n**4 - 1/20*n**5 - 3*n + 0 + 1/4*n**2 + 1/6*n**3 + 1/20*n**6. Determine u so that o(u) = 0.
-1, -1/3, 1
Suppose 1/2*g**2 + 3/2*g + 1 = 0. What is g?
-2, -1
Let w(z) be the third derivative of -z**7/350 + z**5/100 + 17*z**2 + 2. Factor w(h).
-3*h**2*(h - 1)*(h + 1)/5
Let g(z) be the second derivative of 1/20*z**4 + 2*z + 0 - 2/5*z**2 + 1/100*z**5 + 0*z**3. Solve g(i) = 0.
-2, 1
Suppose -4*y + 6 = -2*o, -2*o + 3*y = -0*y + 4. Factor o + 0*z - 4*z**4 - 2*z**3 + 3*z**4 + 2*z + 0*z**3.
-(z - 1)*(z + 1)**3
Factor 1 + 0 + 3*t**4 - 2*t + 0*t**3 + 2*t**3 - 4*t**4.
-(t - 1)**3*(t + 1)
Suppose -2/7*c**5 + 0 + 0*c - 4/7*c**4 + 4/7*c**2 + 2/7*c**3 = 0. What is c?
-2, -1, 0, 1
Let t(n) be the second derivative of n**6/40 + 9*n**5/80 + 3*n**4/16 + n**3/8 - n. Factor t(u).
3*u*(u + 1)**3/4
Suppose 3*v = 2*v + 4. Factor -4*r**2 - 2*r**5 - 7*r**3 + 9*r**3 + 1 + 3*r**v + 0.
-(r - 1)**3*(r + 1)*(2*r + 1)
Suppose 4*g + 3*p = 0, 6*g - 4*g = -4*p - 10. Let f(v) be the second derivative of 0 + 0*v**2 - 1/100*v**5 + 1/30*v**4 - 3*v - 1/30*v**g. Factor f(r).
-r*(r - 1)**2/5
Let t = 4269/4 - 1065. Let 1 - 3/4*p**2 - t*p**3 + 2*p = 0. Calculate p.
-2/3, 1
Let s = -2391 + 2393. Let i = 1 - 1. Find p, given that i - s*p**2 + 4/5*p = 0.
0, 2/5
Let h = 3 + -1. Suppose h = 2*l - l. Factor -8*f - 14*f + 16 - 2*f - l*f**3 + 12*f**2.
-2*(f - 2)**3
Let g(s) = -s**2 - s. Suppose -5*x = 26 + 49. Let w(y) = 18*y**2 + 12*y. Let q(k) = x*g(k) - w(k). Factor q(d).
-3*d*(d - 1)
Let o(d) = -10*d**4 - 57*d**3 - 150*d**2 - 117*d - 40. Let g(b) = -5*b**4 - 29*b**3 - 75*b**2 - 59*b - 20. Let c(u) = -13*g(u) + 6*o(u). Factor c(q).
5*(q + 1)**3*(q + 4)
Let d = -67 + 112. Find t, given that 39*t**3 + 3*t**4 - 3 - d*t**2 + 12*t + 0*t + 9*t - 15*t**4 = 0.
1/4, 1
Let x(l) be the second derivative of 0 + 1/18*l**4 - 2/3*l**2 - 2*l - 1/9*l**3. Find p, given that x(p) = 0.
-1, 2
Let a(l) = l**5 + l**4 - 2*l**2 - l - 1. Let i(z) = 6*z**5 + 6*z**4 + z**3 - 12*z**2 - 7*z - 7. Let q(f) = 39*a(f) - 6*i(f). Factor q(m).
3*(m - 1)**2*(m + 1)**3
Let o(y) be the first derivative of -6*y**2 + 9/5*y**5 - 3*y + 3*y**4 - 2*y**3 - 2. Factor o(w).
3*(w - 1)*(w + 1)**2*(3*w + 1)
Let o(d) be the third derivative of 0 - 1/1155*d**7 + 0*d + 0*d**3 - 1/660*d**6 + 1/330*d**5 + 2*d**2 + 1/132*d**4. Let o(p) = 0. What is p?
-1, 0, 1
Let m be (39/(-9))/((-2)/(-6)). Let o = 18 + m. Let a(f) = 3*f**2 - 2*f - 5. Let i(p) = 2*p**2 - p - 3. Let g(z) = o*i(z) - 3*a(z). Suppose g(s) = 0. What is s?
-1, 0
Let a(z) = 4*z - 2. Let c be a(2). Let d(v) be the second derivative of 0*v**2 - 1/36*v**4 + 1/18*v**3 + 1/90*v**c - 1/60*v**5 + 0 - v. Let d(w) = 0. What is w?
-1, 0, 1
Let d be ((-1)/(0 - -1))/(-1). Let h be d/(-12) - 2/(-6). Suppose -3/4*k + h*k**2 + 1/2 = 0. What is k?
1, 2
Let t(i) be the second derivative of i**6/720 + i**5/30 + i**4/3 - i**3/2 + 7*i. Let k(a) be the second derivative of t(a). What is b in k(b) = 0?
-4
Solve 46*k - 40 - 76*k - 9*k**2 + 4*k**2 = 0 for k.
-4, -2
Let d(y) be the third derivative of -y**5/36 + y**4/18 - 19*y**2. Solve d(a) = 0 for a.
0, 4/5
Factor -13*y + 8*y**2 + 12*y - 4*y**2 - 5*y**3 + 2*y**4.
y*(y - 1)**2*(2*y - 1)
Let d(o) = 2*o**3 - 9*o**2 + 5*o - 5. Let k(u) = 2*u**3 - 10*u**2 + 6*u - 6. Let x(q) = -q**2 + 6*q - 6. Let h be x(6). Let i(b) = h*d(b) + 5*k(b). Factor i(w).
-2*w**2*(w - 2)
Let b(o) = -o**5 - 2*o**4 - o**3 - 2*o**2 + 2*o + 1. Let j(z) = 2*z**5 + 3*z**4 + z**3 + 4*z**2 - 3*z - 2. Let m(p) = 5*b(p) + 3*j(p). Solve m(h) = 0 for h.
-1, 1
Let i(k) be the third derivative of -k**9/4536 - k**8/840 - k**7/420 - k**6/540 - k**3/2 + 3*k**2. Let g(u) be the first derivative of i(u). Factor g(d).
-2*d**2*(d + 1)**3/3
Let y(r) be the third derivative of 0 + 0*r**3 + 0*r + r**2 - 1/210*r**5 - 1/84*r**4. Factor y(s).
-2*s*(s + 1)/7
Let a(x) = 14*x**2 + 14*x - 8. Let w = 27 - 19. Let p(q) = 5*q**2 + 5*q - 3. Let f(c) = w*p(c) - 3*a(c). Let f(l) = 0. Calculate l.
-1, 0
Let u be 3/12 + 22/8. Factor i**3 - 2 - 5*i - i + u*i.
(i - 2)*(i + 1)**2
Suppose -2*h - 12 = -7*h + 3*u, -2*h - 4 = u. Let q(d) = d. Let c be q(h). Solve 6/5*n**2 + 2/5*n**4 + 2/5*n + 6/5*n**3 + c = 0 for n.
-1, 0
Factor -2/19*b**2 + 0 + 0*b + 12/19*b**3 - 18/19*b**4 + 8/19*b**5.
2*b**2*(b - 1)**2*(4*b - 1)/19
Find l, given that -160/7*l + 4/7*l**2 + 1600/7 = 0.
20
Let j(u) be the first derivative of -2/9*u**4 + 0*u + 2/27*u**3 - 3 + 0*u**2. Factor j(l).
-2*l**2*(4*l - 1)/9
Let n(k) be the second derivative of -k**8/13440 - k**7/1260 - k**6/360 - k**4/4 + k. Let m(q) be the third derivative of n(q). Let m(i) = 0. What is i?
-2, 0
Suppose -2*q + 4*x + 5 = -9, 4*x = -q - 5. Factor -9/4*p + 3/4 + 9/4*p**2 - 3/4*p**q.
-3*(p - 1)**3/4
Let g(j) be the second derivative of 0 + 1/60*j**4 + 4*j + 1/30*j**3 - 1/5*j**2. Find z, given that g(z) = 0.
-2, 1
Let m = -10 + 6. Let f(v) = -v**3 - v. Let b(d) = 8*d**3 + 20*d**2 + 32*d + 12. Let w(y) = m*f(y) - b(y). Let w(t) = 0. Calculate t.
-3, -1
Let u be 5/3*(-7 - -10). Let o(h) be the third derivative of -1/6*h**3 + 1/60*h**u - 2*h**2 + 0*h**4 + 0*h + 0. Let o(k) = 0. What is k?
-1, 1
Let b = -28/13 - -278/117. Suppose b*w**2 + 4/9 - 2/3*w = 0. Calculate w.
1, 2
Factor 5*j**4 + 314*j**3 - 309*j**3 + 8*j**5 - 3*j**5 + 5*j**4.
5*j**3*(j + 1)**2
Let u(w) be the second derivative of 0*w**2 + 0*w**3 + 0 + 3/20*w**5 - w + 1/2*w**4. Factor u(c).
3*c**2*(c + 2)
Suppose -1/3*v**2 + 0 + 4/3*v = 0. What is v?
0, 4
Let b = -4173/4 + 1044. Factor -3/4*z**3 - 3/4*z**2 + 3/4 + b*z.
-3*(z - 1)*(z + 1)**2/4
Factor -1/2*t - 2*t**2 + 1/2*t**3 + 2.
(t - 4)*(t - 1)*(t + 1)/2
Let p(n) be the second derivative of -n**5/150 + n**3/15 - n**2/2 - 3*n. Let i(h) be the first derivative of p(h). What is j in i(j) = 0?
-1, 1
Factor -2/3*m**2 + 8/3*m - 8/3.
-2*(m - 2)**2/3
Let g(w) = 34*w**2 - 4*w - 8. Suppose 0 = 3*z - 4*n - n, z + 1 = 2*n. Let d(c) = 23*c**2 - 3*c - 5. Let i(q) = z*g(q) - 8*d(q). Factor i(s).
-2*s*(7*s - 2)
Suppose 0 = 2*l + l. Suppose 4/5*v**3 + l*v**4 - 2/5*v + 0*v**2 + 0 - 2/5*v**5 = 0. What is v?
-1, 0, 1
Let p(l) be the first derivative of l**5 - 5*l**4/4 - 5*l**3/3 + 5*l**2/2 + 55. Factor p(j).
5*j*(j - 1)**2*(j + 1)
Let o(d) = -2*d**3 + 4*d**2 + d. Suppose -4*m - 5 = 27. Let f(c) = 6*c**3 - 11*c**2 - 3*c. Let j = -11 + 8. Let z(h) = j*f(h) + m*o(h). Factor z(u).
-u*(u - 1)*(2*u + 1)
What is t in -3/7*t**2 - 24/7*t - 48/7 = 0?
-4
Let i(g) be the second derivative of 1/20*g**5 + 0 + 1/2*g**3 - 1/2*g**2 - 1/4*g**4 - 2*g. What is v in i(v) = 0?
1
Let b(v) = 3*v + 24. Let o be b(-8). Let i(g) be the first derivative of 1/2*g**2 - 2/5*g**5 + 1 + o*g + 0*g**3 - 3/4*g**4. Suppose i(z) = 0. Calculate z.
-1, 0, 1/2
Let v(g) be the first derivative of -14*g**3/3 + 23*g**2 - 12*g + 17. Factor v(k).
-2*(k - 3)*(7*k - 2)
Suppose 3*h + h = 16. Let w be (-1066)/(-18) - h/18. Solve 4*x - w*x**2 - 2*x**5 - 104*x**3 + 102*x**5 + 14*x**4 + 41*x**4 + 4 = 0.
-1, -2/5, 1/4, 1
Let u(z) be the first derivative of -2*z**3/3 - z**2 - 12. Factor u(r).
-2*r*(r + 1)
Let u(w) = -w**3 + 12*w**2 - 9*w - 16. Let a be u(11). Let d be 16/6*a/20. Factor 13/5*p**4 - d*p**5 - 3*p**3 + 7/5*p**2 + 0 - 1/5*p.
-p*(p - 1)**3*(4*p - 1)/5
Determine j, given that 2/3*j + 1/3*j**2 + 1/3 = 0.
-1
Let f be (-1)/36*(-14)/21. Let k(v) be the second derivative of 0 + f*v**4 + 2/45*v**5 + 0*v**2 - 1/135*v**6 - 2*v + 0*v**3 - 4/189*v**7. What is g in k(g) = 0?
-1, -1/4, 0, 1
Factor 3/5*i + 6/5*i**2 + 3/5*i**5 - 3/5 - 3/5*i**4 - 6/5*i**3.
3*(i - 1)**3*(i + 1)**2/5
Suppose -4*i + 6 = -2*r, -2*r + 0*r = 3*i - 22. Factor 2/3*o**i - 5/3*o + 3*o**2 + 1/3 - 7/3*o**3.
(o - 1)**3*(2*o - 1)/3
Suppose -3*f = -4*f + 17. Let o be (-6)/(-2) + 4 + -3. Factor 4 - 7*n**2 - o*n + 10*n - f*n**2 + 14*n**3.
2*(n - 1)**2*(7*n + 2)
Let s = 42 - 40. Factor -2/7*x + 0 + 2/7*x**3 + 0*x**s.
2*x*(x - 1)*(x + 1)/7
Let x(h) = -9*h - 12. Let a(q) = 8*q + 11. Let v(i) = -7*a(i) - 6*x(i). Let o be v(-4). Factor o*p**3 - 2*p**3 + 2*p - 3*p**2 + 0*p**2 + 0*p**3.
p*(p - 2)*(p - 1)
L