8)/(-1). Factor 1/4*w**5 + 1/4*w**2 - p*w**3 - 1/4*w**4 + 0 + 0*w.
w**2*(w - 1)**2*(w + 1)/4
Find s, given that -2/11*s**5 + 0 + 0*s**2 - 6/11*s**4 - 4/11*s**3 + 0*s = 0.
-2, -1, 0
Let f(s) be the third derivative of s**5/120 - s**4/24 + 9*s**2. Factor f(o).
o*(o - 2)/2
Suppose 2*c + 2 = 2. Find q, given that 0 + 2/9*q**4 + 0*q + c*q**2 - 2/9*q**3 = 0.
0, 1
Determine b so that -2/5*b**2 - 2*b - 4/5 + 4/5*b**3 = 0.
-1, -1/2, 2
Suppose t + 4 = 2*j - 5, 0 = -3*j + 5*t + 31. Let o(c) be the first derivative of 2/7*c**3 - 1/14*c**4 + 2/7*c - 3/7*c**j - 3. Find p, given that o(p) = 0.
1
Let m be 3 + 0 + -6 + 3. Factor 10*p**2 + m - 3*p**2 - 2 - 3*p**2 + 2*p.
2*(p + 1)*(2*p - 1)
Let l(f) be the first derivative of f**8/112 - 9*f**7/280 + 3*f**6/80 - f**5/80 + 3*f**2/2 - 2. Let x(u) be the second derivative of l(u). Factor x(y).
3*y**2*(y - 1)**2*(4*y - 1)/4
Factor -9/5*a**2 - 3/5*a**4 + 0 - 3/5*a - 9/5*a**3.
-3*a*(a + 1)**3/5
Let n(i) be the first derivative of -i**4/22 - 8*i**3/33 - 4*i**2/11 - 1. Find s such that n(s) = 0.
-2, 0
Let s(y) be the second derivative of y**7/210 + y**6/150 + 29*y. Factor s(d).
d**4*(d + 1)/5
Let i = 289/140 + -7/20. Suppose 2/7*m**2 + i*m + 18/7 = 0. What is m?
-3
Let m(d) be the second derivative of 2*d**7/21 - 2*d**6/15 - 3*d**5/5 + d**4/3 + 4*d**3/3 - 11*d. Factor m(p).
4*p*(p - 2)*(p - 1)*(p + 1)**2
Let o(g) be the second derivative of 2*g**5/5 - 3*g**4/2 + 2*g**3/3 - 19*g. Find r, given that o(r) = 0.
0, 1/4, 2
Let l = 8 - 6. Find v such that -5*v**2 + 3*v**2 + v**3 - 4*v**l + v**3 = 0.
0, 3
Let i be 3*(6/(-9))/(-1). Suppose i*f**2 + 0*f + 0 + 2 + f + 3*f = 0. What is f?
-1
Let a(j) be the second derivative of j**4/3 + 4*j**3/3 + 2*j**2 + 27*j. Let a(s) = 0. Calculate s.
-1
Let g(w) be the first derivative of -5*w**3/3 - 15*w**2/2 - 10*w + 10. Factor g(y).
-5*(y + 1)*(y + 2)
Let h(t) be the first derivative of -2*t**3 - 3*t**2/2 + 3*t + 2. Determine b, given that h(b) = 0.
-1, 1/2
Let j(v) be the second derivative of 1/12*v**4 + 0*v**3 - 1/60*v**6 + 0*v**2 - 2*v - 1/40*v**5 + 0. Let j(q) = 0. What is q?
-2, 0, 1
Let z(h) = -3*h**3. Let g(b) = 10*b**3. Let o(m) = 2*g(m) + 7*z(m). Solve o(k) = 0 for k.
0
Let g(o) be the third derivative of o**7/1260 - o**6/180 + o**5/60 + o**4/12 + o**2. Let c(a) be the second derivative of g(a). Find v, given that c(v) = 0.
1
Factor -1/3*i**2 - 2*i - 3.
-(i + 3)**2/3
Let g = 1/14 - -2/21. Let v(d) be the second derivative of 0*d**2 - 4*d - g*d**4 - 1/3*d**3 + 0. Factor v(q).
-2*q*(q + 1)
Let b(s) = 20*s**3 + 20*s**2 + 10*s - 5. Let k(n) = -n**4 - 19*n**3 - 19*n**2 - 9*n + 4. Let c(u) = -4*b(u) - 5*k(u). Factor c(f).
5*f*(f + 1)**3
Let u = 262 + -260. Factor -a**4 + u - 5*a - 21/2*a**2 - 23/4*a**3.
-(a + 2)**3*(4*a - 1)/4
Let u(r) be the second derivative of 0 - 1/35*r**7 - 1/30*r**3 - 1/150*r**6 + 1/60*r**4 - r + 0*r**2 + 7/100*r**5. Let u(t) = 0. What is t?
-1, -1/2, 0, 1/3, 1
Let a(v) be the first derivative of 0*v**4 + 3/20*v**5 - 1/4*v**3 - 5 + 0*v + 0*v**2. Factor a(h).
3*h**2*(h - 1)*(h + 1)/4
Let r(w) = -3*w**4 + w**3 - 4. Let j(i) = 3*i**4 - 2*i**3 + 5. Suppose 5*k - 4*k = -4. Let t(m) = k*j(m) - 5*r(m). Factor t(l).
3*l**3*(l + 1)
Let q(k) be the second derivative of -16*k**5 + 60*k**4 - 90*k**3 + 135*k**2/2 - 22*k. Let q(y) = 0. Calculate y.
3/4
Suppose 3*q - 8*q = 2*z - 7, -4*z - q = -23. Suppose 5*f - g = 20, 2*f + 17 = z*f - g. What is j in j**3 - f*j**2 - 2*j + 4*j**3 + 0*j = 0?
-2/5, 0, 1
Let o(t) = -4*t**2 - 6*t + 3. Let h(v) be the third derivative of v**5/60 + v**4/24 - v**3/6 - 4*v**2. Let c(n) = -15*h(n) - 3*o(n). What is f in c(f) = 0?
-1, 2
Let i(l) be the third derivative of -l**8/1176 + 2*l**7/245 - 13*l**6/420 + 2*l**5/35 - l**4/21 + 31*l**2 - 2*l. Factor i(h).
-2*h*(h - 2)**2*(h - 1)**2/7
Let s(r) be the first derivative of 2*r**3/3 - 2*r - 3. Let s(a) = 0. Calculate a.
-1, 1
Let o(b) = -b**3 + 5*b**2 + 7*b - 3. Let v be o(6). Solve -c**3 + 2*c - 5*c**3 + 2 - c**v + 5*c**3 - 2*c**2 = 0.
-1, 1
Let b(n) = n**2 + 3*n + 2. Let d be b(0). Factor 9/7*j**3 - 5/7*j + 6/7*j**d - 2/7.
(j + 1)*(3*j - 2)*(3*j + 1)/7
Let r be 3 + 10/(-3) - (-5)/9. Let v(b) be the first derivative of -2/45*b**5 + 0*b**2 - 3 - r*b + 0*b**4 + 4/27*b**3. Factor v(u).
-2*(u - 1)**2*(u + 1)**2/9
Let i(o) be the third derivative of 1/540*o**6 + 0*o**4 + 0*o**3 + 0*o + 3*o**2 + 1/135*o**5 + 0. Determine j so that i(j) = 0.
-2, 0
Find q such that -11/2*q + 1 - 13/2*q**2 = 0.
-1, 2/13
Let v = 12 + -6. Suppose v*c = 7*c. Suppose 3/4*a**4 + 1/2*a**2 - 7/4*a**3 + 0*a + c = 0. Calculate a.
0, 1/3, 2
Let f(l) = 57*l**3 - 213*l**2 + 73*l + 7. Let x(s) = 28*s**3 - 107*s**2 + 37*s + 3. Let d(i) = -3*f(i) + 7*x(i). Suppose d(n) = 0. What is n?
0, 2/5, 4
Let q(k) be the second derivative of 0 + 0*k**3 - k + 0*k**4 + 1/189*k**7 + 0*k**2 - 1/45*k**5 - 1/135*k**6. Factor q(y).
2*y**3*(y - 2)*(y + 1)/9
Determine s, given that -2*s**4 + 3/2*s**3 + 0*s**2 + 0 + 1/2*s**5 + 0*s = 0.
0, 1, 3
Let n = -73 - -73. Factor 1/2*c**2 + n - c.
c*(c - 2)/2
Let a(i) be the second derivative of i**5/5 - i**4/3 - 4*i**3/3 - 8*i. Factor a(v).
4*v*(v - 2)*(v + 1)
Factor 0 + 2/9*d**2 - 2/9*d**5 + 0*d + 2/9*d**3 - 2/9*d**4.
-2*d**2*(d - 1)*(d + 1)**2/9
Let f(v) be the third derivative of -v**8/2352 - v**7/245 - 3*v**6/280 + 19*v**2. Factor f(c).
-c**3*(c + 3)**2/7
Let d(h) be the third derivative of h**2 + 0*h + 0 + 1/36*h**4 - 1/180*h**5 - 1/18*h**3. What is a in d(a) = 0?
1
Let u = 701/481 - 20/13. Let z = 163/185 + u. Factor -z*r + 0 + 14/5*r**2.
2*r*(7*r - 2)/5
Suppose 0*o = -4*o. Let i = o - -5. Factor 0 + 0 + 2*s - 4*s**3 + 2*s**i.
2*s*(s - 1)**2*(s + 1)**2
Let z(f) = f**3 + 19*f**2 + 36*f + 34. Let j be z(-17). Let 0 - 1/2*m**2 - 1/4*m**5 + j*m + 0*m**4 + 3/4*m**3 = 0. What is m?
-2, 0, 1
Let v(z) = 3*z**4 - 2*z**3 + z**2 + 2*z. Let f(q) = q**4 + q. Suppose 2*y + 3 = 7. Let t(s) = y*f(s) - v(s). Let t(o) = 0. Calculate o.
0, 1
Suppose 3*u = -4*s - 45, 2*s = -u - 2 - 23. Let m be 1/s + 20/50. Let 4/3*v**2 - 2*v**3 + 0 - 1/3*v**5 - m*v + 4/3*v**4 = 0. Calculate v.
0, 1
Let o = -11 - -13. Factor 2*p**2 + 7*p**3 + 8*p**3 - 4*p**o - 7*p**3.
2*p**2*(4*p - 1)
Let y(a) be the third derivative of a**8/504 + 2*a**7/315 - a**6/180 - a**5/45 - 9*a**2. Suppose y(v) = 0. What is v?
-2, -1, 0, 1
Let u(s) be the second derivative of 1/6*s**4 + s + 0 - 1/15*s**6 + 1/10*s**5 - 1/3*s**3 + 0*s**2. Factor u(g).
-2*g*(g - 1)**2*(g + 1)
Factor 33*i**4 + 27*i**5 - 30*i**3 + 3*i**4 + 6*i**2 - 3*i**3.
3*i**2*(i + 2)*(3*i - 1)**2
Let k(v) be the second derivative of v**6/3 - 7*v**5/4 + 5*v**4/4 - 20*v. Factor k(s).
5*s**2*(s - 3)*(2*s - 1)
Let z(g) be the first derivative of g**3 + 3*g**2/2 + 9. Factor z(h).
3*h*(h + 1)
Let f(s) = -95*s**4 + 445*s**3 - 95*s**2 - 205*s - 25. Let y(r) = 8*r**4 - 37*r**3 + 8*r**2 + 17*r + 2. Let m(l) = -2*f(l) - 25*y(l). Let m(v) = 0. What is v?
-1/2, 0, 1, 3
Let a(f) be the first derivative of -2*f**5/15 + 40*f**4/9 - 52*f**3 + 216*f**2 + 162*f + 1. Find d, given that a(d) = 0.
-1/3, 9
Let y = -123 - -125. Let z(r) be the second derivative of 0 + 0*r**y + 1/18*r**4 - 1/30*r**5 + 2/9*r**3 - r. Factor z(q).
-2*q*(q - 2)*(q + 1)/3
Let t be -12*(7/((-84)/16) + 1). Suppose 0*i - 5/4*i**5 + 1/2*i**3 + 0*i**2 + 0 - 3/4*i**t = 0. Calculate i.
-1, 0, 2/5
Let t be (2/(-4) - -1)*4. Find n such that n**3 - n**4 - 2*n**4 + 5*n**3 - 2*n**t - n**2 = 0.
0, 1
Let r(w) be the second derivative of 1/3*w**2 + w + 0 + 1/6*w**3 - 5/36*w**4. Determine x, given that r(x) = 0.
-2/5, 1
Suppose 5*u = 3*u - 5*i + 22, -4*u = -i. Let n = u + 1. Factor -3/2*s + 5/4*s**n + 1/4.
(s - 1)*(5*s - 1)/4
Let y be (-24)/84*(-7)/2. Let x(q) be the first derivative of -y + 0*q**3 + 0*q + 0*q**5 + 0*q**2 - 1/18*q**6 + 1/12*q**4. What is h in x(h) = 0?
-1, 0, 1
Let h(u) be the third derivative of -u**6/480 + u**5/120 + u**4/96 - u**3/12 - 4*u**2. Factor h(g).
-(g - 2)*(g - 1)*(g + 1)/4
Let l(p) be the second derivative of -p**6/15 + p**5/10 + p**4/6 - p**3/3 - 8*p. Find y such that l(y) = 0.
-1, 0, 1
Let i(j) = 4*j**4 - j**3 - 2*j**2 - 3. Let m(p) = -5*p**4 + p**3 + 2*p**2 + 4. Let r(b) = 4*i(b) + 3*m(b). Factor r(a).
a**2*(a - 2)*(a + 1)
Let c(x) be the second derivative of x**8/3360 + x**7/210 + x**6/40 - 9*x**4/16 + 7*x**3/6 - x. Let n(u) be the second de