vative of -w**5/60 + 11*w**4/36 + 40*w. Factor y(v).
-v**2*(v - 11)/3
Let i(c) be the second derivative of -3*c**7/70 + c**6/5 - 9*c**5/25 + 3*c**4/10 - c**3/10 + 7*c. Factor i(q).
-3*q*(q - 1)**3*(3*q - 1)/5
Let w(i) = i**3 - i - 1. Let a(j) be the first derivative of j**5/5 - j**4/4 + j**3 - 3*j**2/2 - 2*j + 5. Let g(k) = a(k) - 2*w(k). Factor g(c).
c*(c - 1)**3
Let p be (2 + -4)/((-4)/10). Suppose 6*x - 2*x + p*n + 8 = 0, 0 = -4*x - 3*n. Factor -2*v - 10*v**x + 3*v + 11*v**3 + 2*v**2.
v*(v + 1)**2
Factor 1/5*u**2 + 0*u - 9/5.
(u - 3)*(u + 3)/5
Factor -18*i**3 + 12*i**2 - 2*i + 8*i**4 - 831 + 831.
2*i*(i - 1)**2*(4*i - 1)
Suppose -15*v - 9*v + 20*v**3 - 19*v + 11*v + 72*v**2 = 0. What is v?
-4, 0, 2/5
Let x = 27/4 - 25/4. Factor x*h**3 + 0 + 0*h**2 + 0*h.
h**3/2
Let j = 4 + -2. Let o = j - 2. Solve o + 2/5*v**3 - 4/5*v**2 + 2/5*v = 0.
0, 1
Let v = -21 + 24. Let g be v/15*(-15)/(-4). Determine x, given that 3/2*x**2 - g - 3/4*x = 0.
-1/2, 1
Let u(g) = -6*g**2 + 5. Let t(c) = -5*c**2 - c + 4. Let x(h) = 5*t(h) - 4*u(h). Factor x(a).
-a*(a + 5)
Suppose g - 3*g = 0. Let n(b) be the third derivative of 0*b - 1/630*b**7 + 3*b**2 + 0*b**3 + 0*b**4 + 1/180*b**6 + g - 1/180*b**5. Factor n(w).
-w**2*(w - 1)**2/3
Let z = -8 + -1. Let d be ((-12)/z)/((-2)/(-3)). Factor 20*r**d + 13*r**2 - 12*r**2 + 8*r - 2*r.
3*r*(7*r + 2)
Let v(i) be the third derivative of -i**7/70 - i**6/40 + i**5/20 + i**4/8 - 17*i**2. Solve v(u) = 0 for u.
-1, 0, 1
Let m(x) be the third derivative of 0*x - 6*x**2 - 8/3*x**5 + 0 - 2*x**3 + 8/15*x**6 - 23/6*x**4. Suppose m(d) = 0. Calculate d.
-1/4, 3
Let q(d) be the second derivative of d**5/60 + d**4/36 - d**3/18 - d**2/6 - 8*d. Factor q(f).
(f - 1)*(f + 1)**2/3
Factor -3*r**3 - 9*r**2 - 3*r**4 + 18*r**3 - 10*r**2 + r**2.
-3*r**2*(r - 3)*(r - 2)
Let s(t) be the second derivative of t**3 + 0 + 3/2*t**2 - 6*t + 1/4*t**4. Factor s(j).
3*(j + 1)**2
Let y(p) be the first derivative of -4*p**6/5 + 7*p**5/5 + p**4/3 - 4*p**3/3 - 8*p - 5. Let o(h) be the first derivative of y(h). Suppose o(i) = 0. Calculate i.
-1/2, 0, 2/3, 1
Let i(g) be the third derivative of g**5/15 - g**4/3 + 2*g**3/3 - 19*g**2. Let i(h) = 0. Calculate h.
1
Find u such that 6*u**2 + 9*u + 2*u**2 - 54*u**3 + 15*u - 12 + 27*u**4 + 7*u**2 = 0.
-2/3, 2/3, 1
Let u be 60/25 - (2 + 0). Suppose 29 = -5*q + 39. Factor -4/5*x + 4/5*x**3 + u*x**4 + 0*x**q - 2/5.
2*(x - 1)*(x + 1)**3/5
Let p = 6 - 4. Suppose 3*s - 16 = -2*i + 3*i, -5*i = -s + 10. Factor 2*r**2 - 5*r + 3*r**5 - 2*r**s - p*r**4 + 4*r.
r*(r - 1)**3*(r + 1)
Factor 4/3 - 22/3*t + 10/3*t**2.
2*(t - 2)*(5*t - 1)/3
Solve 2/9*o**4 + 0*o**3 - 2/9*o**2 - 1/9*o**5 + 0 + 1/9*o = 0 for o.
-1, 0, 1
Factor -3/4*n + n**3 + 1/2 + 0*n**4 - 1/4*n**5 - 1/2*n**2.
-(n - 1)**3*(n + 1)*(n + 2)/4
Find x such that -6*x - 3/4*x**3 + 3 + 15/4*x**2 = 0.
1, 2
Find h such that -3/2*h - 15/4*h**2 + 0 = 0.
-2/5, 0
Let d(t) be the first derivative of 3*t**5/25 + 3*t**4/20 - t**3/5 - 3*t**2/10 - 30. Factor d(a).
3*a*(a - 1)*(a + 1)**2/5
Suppose 0 = -0*u - u - 1. Let v be ((-4)/(-8))/u*0. Let 0 + v*w + 1/4*w**3 - 1/4*w**2 = 0. Calculate w.
0, 1
Factor -2/9*u + 14/9*u**3 + 4/3*u**2 + 0.
2*u*(u + 1)*(7*u - 1)/9
Suppose -5*j = 16*w - 11*w - 40, -w + 3*j - 8 = 0. Suppose -1/2*o + 3/4*o**w + 7/4*o**2 + 0 - 2*o**3 = 0. What is o?
0, 2/3, 1
Let d(w) be the third derivative of w**8/840 - w**7/525 + 25*w**2. Determine s so that d(s) = 0.
0, 1
Let j(g) be the third derivative of -g**5/12 + 5*g**4/24 + 6*g**2. Factor j(r).
-5*r*(r - 1)
Let s(c) be the first derivative of -c**6/15 + c**4/2 - 2*c**3/3 - 2*c - 1. Let g(u) be the first derivative of s(u). What is v in g(v) = 0?
-2, 0, 1
Factor -3*s**2 - 3*s**2 - 2*s**2 - 5*s**3 + s**3 - 4*s.
-4*s*(s + 1)**2
Let v(s) be the first derivative of s**4/8 + s**3/6 - 5*s**2/4 + 3*s/2 - 4. Find t such that v(t) = 0.
-3, 1
Let i = -5 - -7. Let s be 6/(-9) - 8/(-12). Determine u so that -1 - 3*u + u**2 - u**3 + i*u + 2*u**3 + s*u = 0.
-1, 1
Let t(h) be the third derivative of h**5/15 - h**4/3 + 2*h**3/3 + h**2. Suppose t(u) = 0. What is u?
1
What is y in -2/9*y**2 + 0 + 0*y + 7/9*y**4 + 5/9*y**3 = 0?
-1, 0, 2/7
Let c = -9 - -14. Factor 6*x**4 - 4*x**2 + 2*x**4 + 2*x**3 - x**5 - 5*x**c.
-2*x**2*(x - 1)**2*(3*x + 2)
Let q(j) be the third derivative of -j**6/180 - j**5/45 + 7*j**4/36 - 4*j**3/9 - 10*j**2. Factor q(x).
-2*(x - 1)**2*(x + 4)/3
Let k(c) be the third derivative of -c**5/120 + c**4/48 - 2*c**2. Factor k(i).
-i*(i - 1)/2
Let n(g) = -10*g + 11. Let z(y) = 3*y - 4. Let c(v) = -2*n(v) - 7*z(v). Let l be c(4). Factor -1/2 - 1/2*d**3 + 1/2*d + 1/2*d**l.
-(d - 1)**2*(d + 1)/2
Let n = -1 - -2. Let j(s) be the third derivative of s**5/12 - s**4/12 + s**3/6 - s**2. Let c(w) = w**2 + 1. Let q(b) = n*c(b) - j(b). Solve q(h) = 0 for h.
0, 1/2
Let g(d) be the first derivative of 6*d**2 + 0*d - 15/4*d**4 + 3 + 4*d**3 - 9/5*d**5. Factor g(i).
-3*i*(i - 1)*(i + 2)*(3*i + 2)
Let 4/5*j - 2/5*j**2 - 2/5 = 0. What is j?
1
Let q(l) = 8*l**4 - 16*l**3 + 36*l**2 - 24*l + 8. Let u(t) = t**4 + t**3 + t. Let i(f) = -q(f) + 4*u(f). Determine w, given that i(w) = 0.
1, 2
Let z(x) = -2*x**4 - 6*x**3 + 10*x**2 + 6*x - 2. Suppose 6 = -i - 0. Let g(d) = d**3 - d**2 - d. Let t(w) = i*g(w) - z(w). Let t(y) = 0. Calculate y.
-1, 1
Let n(g) be the third derivative of -g**6/360 - g**5/60 - g**4/24 - g**3/18 - 5*g**2. Factor n(j).
-(j + 1)**3/3
Let k(v) be the second derivative of -v**4/6 + v**2 + 2*v. Factor k(m).
-2*(m - 1)*(m + 1)
Let h(f) be the third derivative of 9/40*f**5 + 1/6*f**3 - 13/48*f**4 + 1/60*f**7 + 0*f - 23/240*f**6 + 5*f**2 + 0. Factor h(m).
(m - 1)**3*(7*m - 2)/2
Solve 26/3*a + 8*a**4 + 62/3*a**2 + 4/3 + 64/3*a**3 = 0.
-1, -2/3, -1/2
Let x(v) = 6*v**3 - 17*v**2 - v - 5. Suppose 0 = 3*z + 147 - 45. Let q(i) = i**3 - 3*i**2 - 1. Let m(c) = z*q(c) + 6*x(c). Factor m(n).
2*(n - 1)**2*(n + 2)
Factor -4*b**2 + 0*b**5 + 4*b**4 + 143*b**3 + 4*b**5 - 147*b**3.
4*b**2*(b - 1)*(b + 1)**2
Suppose -4*c + 5 = -3. Determine y so that 0 + 2*y**3 + 1/2*y - 5/2*y**c = 0.
0, 1/4, 1
Let m(o) be the third derivative of -o**5/390 - o**4/52 - 40*o**2. Factor m(s).
-2*s*(s + 3)/13
Let k be 1/(-3 - 7/(-2)). Factor -2/9*q**4 - 8/9*q**3 - 4/9*q + 0 - 10/9*q**k.
-2*q*(q + 1)**2*(q + 2)/9
Suppose d = -4*d - 10. Let q be d/11 + (-118)/(-44). Find r such that q*r - 1 + 7/2*r**2 = 0.
-1, 2/7
Let f(t) = 4*t**4 + 34*t**3 - 15*t**2 - 34*t + 11. Let k(a) = -a**4 - 11*a**3 + 5*a**2 + 11*a - 4. Let b(q) = 4*f(q) + 11*k(q). Factor b(y).
5*y*(y - 1)*(y + 1)*(y + 3)
Let h(l) = l**3 + 11*l**2 - 22*l - 40. Let q(p) = -3*p**3 - 23*p**2 + 46*p + 80. Let j(d) = 7*h(d) + 4*q(d). Factor j(k).
-5*(k - 2)*(k + 1)*(k + 4)
Let k be ((-5)/(-3))/(2/6). Suppose -4*l = -0*w + 4*w - 4, -5 = -k*w. Factor l*y**3 - 2*y**3 + 3*y**3.
y**3
Let g(p) = 3*p**2 - p - 1. Let i be g(-1). Let v(w) be the first derivative of 0*w + 1/3*w**i + 2 + 0*w**2 - 1/5*w**5 + 0*w**4. Solve v(z) = 0 for z.
-1, 0, 1
Let d(v) be the third derivative of v**7/420 + v**6/90 + v**5/60 - v**3/3 - 3*v**2. Let k(o) be the first derivative of d(o). Factor k(s).
2*s*(s + 1)**2
Let t(b) be the third derivative of 2*b**7/315 + b**6/72 + b**5/180 - 7*b**2. Suppose t(x) = 0. What is x?
-1, -1/4, 0
Let q = -11 - -19. Suppose -l = -3*s - 2*l + q, 2*l = s - 5. Factor -z**s + 0 + 5/3*z**2 - 2/3*z.
-z*(z - 1)*(3*z - 2)/3
Let p(w) be the first derivative of -w**6/240 - 3*w**5/80 - w**4/8 - 4*w**3/3 + 2. Let c(s) be the third derivative of p(s). Factor c(v).
-3*(v + 1)*(v + 2)/2
Let a(b) be the second derivative of b**9/4536 + b**8/945 + b**7/630 - b**5/540 + b**3/6 + b. Let r(v) be the second derivative of a(v). Solve r(d) = 0 for d.
-1, 0, 1/3
Let c be (18/(-60))/(20/(-8) - -1). Suppose -c + 2/5*t**2 - 1/5*t**5 + 2/5*t**3 - 1/5*t - 1/5*t**4 = 0. What is t?
-1, 1
Let d(t) = -7*t**2 - t - 1. Let z be d(3). Let j = z - -336/5. Let j*x**2 + 0*x + 0 + 1/5*x**3 = 0. What is x?
-1, 0
Suppose 0 = -2*v - 6 + 14. Factor 3/7*i - 3/7*i**v + 9/7*i**3 - 9/7*i**2 + 0.
-3*i*(i - 1)**3/7
Let l = 622400266/755 + -824372. Let i = 2/151 - l. Suppose 2/5*x - 2/5*x**5 + 0 - i*x**2 + 4/5*x**4 + 0*x**3 = 0. What is x?
-1, 0, 1
Let a be (185/100 + -2)*4/(-30). Let w(n) be the second derivative of 2*n + 0 + a*n**6 + 1/10*n**3 - 3/100*n**5 - 1/20*n**4 + 0*n