/24 - 3*z**2/4 + 25*z + 1. Factor x(h).
-(h - 2)*(4*h - 3)/4
Determine w, given that 0 - 4/5*w**4 + 0*w + 4/5*w**2 + 0*w**3 = 0.
-1, 0, 1
Let f(x) = x**3 - 8*x**2 + 8*x - 2. Let m be f(7). Suppose 0 = -m*r - 0*r. Factor 0*u**2 + r*u + 1/4*u**4 + 0 + 0*u**3.
u**4/4
Let u = 1018/9 - 113. Let i(q) be the first derivative of -1/12*q**4 + 1/6*q**2 + u*q**3 - 1/3*q - 2. Solve i(g) = 0.
-1, 1
Let p(g) = g**2 + g - 4. Let o be p(-3). Factor 0*r + o*r + 3*r**2 + 0*r**2.
r*(3*r + 2)
Let r(o) be the third derivative of 0*o**3 + 0 + 0*o - 2*o**2 + 1/24*o**4 - 1/60*o**5. Let r(w) = 0. Calculate w.
0, 1
Suppose 3*f + 3*j - 9 = 0, -f = 3*f - 4*j + 12. Let i(y) be the third derivative of -1/240*y**5 + y**2 + 0*y**3 + 0*y - 1/96*y**4 + f. Factor i(z).
-z*(z + 1)/4
Let t(u) be the second derivative of -u**4/3 - 4*u**3 - 10*u**2 - 25*u. Factor t(a).
-4*(a + 1)*(a + 5)
Let d(i) = i**3 + 7*i**2 - 9*i - 5. Let x be d(-8). Suppose 0 = -2*n + x*n - 2*a + 4, 5*n - 13 = -a. Factor 1/4*c - 1/4*c**n + 0.
-c*(c - 1)/4
Let p = -252/5 + 51. Let u = 15 - 13. Factor -4/5 + 8/5*v - p*v**u.
-(v - 2)*(3*v - 2)/5
Let f(m) be the first derivative of 1/18*m**3 - 1/6*m**2 + 1/24*m**4 + 0*m + 4. Factor f(o).
o*(o - 1)*(o + 2)/6
Let h(k) be the second derivative of -k**8/1176 + k**7/735 + 3*k**2/2 + 3*k. Let j(x) be the first derivative of h(x). Solve j(q) = 0 for q.
0, 1
Let y(w) be the third derivative of 6*w**2 - 1/20*w**5 + 0 + 0*w - 3/8*w**4 + 0*w**3. Factor y(z).
-3*z*(z + 3)
Let 3/5*l**3 + 0*l + 3/5*l**2 + 0 = 0. Calculate l.
-1, 0
Let q(u) be the third derivative of u**6/360 - u**5/90 - u**4/72 + u**3/9 + 4*u**2 + 2*u. Factor q(p).
(p - 2)*(p - 1)*(p + 1)/3
Let g(z) be the third derivative of z**9/504 - z**8/840 + 2*z**3/3 + 5*z**2. Let f(q) be the first derivative of g(q). What is m in f(m) = 0?
0, 1/3
Let p = -3 - 2. Let i(b) = -b**3 - 5*b**2 + b + 7. Let g be i(p). Factor -2*q**3 - 2*q**4 + 2*q - q**4 + 2*q**4 + q**g.
-q*(q - 1)*(q + 1)*(q + 2)
Let m(k) be the second derivative of -5*k**7/56 + k**6/20 + 6*k. Factor m(b).
-3*b**4*(5*b - 2)/4
Let a(u) be the second derivative of u**7/273 - u**6/65 + 3*u**5/130 - u**4/78 - 3*u. Factor a(c).
2*c**2*(c - 1)**3/13
Let u be (-15)/240 + (-37)/(-80). Factor 1/5*h**2 - u - 1/5*h.
(h - 2)*(h + 1)/5
Let f(o) = -o**3 - 6*o**2 - 3*o - 4. Let v(t) = 3*t**3 + 17*t**2 + 8*t + 11. Suppose -2*h + 6 = -3*h. Let n(l) = h*v(l) - 17*f(l). Let n(c) = 0. What is c?
-1, 2
Factor -23*k**3 + 19*k**3 + 25*k**2 - 17*k**2.
-4*k**2*(k - 2)
Let i = 34 - 304/9. Let u(w) = -w**2 - 5*w - 4. Let b be u(-4). Factor -i*r**3 - 4/9*r**2 + 0*r + b.
-2*r**2*(r + 2)/9
Let x(a) = a**3 + 9*a**2 + 2*a + 11. Let q be x(-9). Let d be -1 - 3 - q - 3. Factor d + 1/4*g - 1/4*g**2.
-g*(g - 1)/4
Let r(y) be the second derivative of -y**8/8400 + y**7/4200 + y**6/3600 + y**4/6 - y. Let m(v) be the third derivative of r(v). Factor m(f).
-f*(f - 1)*(4*f + 1)/5
Factor -12*j**2 + 80*j**3 + 23*j**4 + 12*j**4 + 32*j**2.
5*j**2*(j + 2)*(7*j + 2)
Factor -12*p**2 - 3*p**4 + 13*p + 2*p**3 + 15*p**2 - 15*p.
-p*(p - 1)*(p + 1)*(3*p - 2)
Let k = -5 + 7. Factor 4*q**4 - 2*q**4 - k*q**3 - 4*q + 4*q.
2*q**3*(q - 1)
Let p(k) = k**3 + 12*k**2 - 18*k. Let j(n) = n**3 + 24*n**2 - 36*n. Let z(l) = -3*j(l) + 5*p(l). Factor z(x).
2*x*(x - 3)**2
Let h(n) be the third derivative of n**7/14 + 13*n**6/40 + 9*n**5/20 - n**4/8 - n**3 - 7*n**2. Solve h(b) = 0.
-1, 2/5
Let u(q) = 2*q**3 - q**2 + 6*q - 3. Let t(y) = -y**3 - y + 1. Let l = 6 - 2. Suppose -l*p = -2*p + 8. Let f(v) = p*t(v) - u(v). Let f(j) = 0. Calculate j.
-1, -1/2, 1
Let p = 242 - 1208/5. Factor 0 - 4/5*a**2 + 2/5*a + p*a**3.
2*a*(a - 1)**2/5
Factor 3*p**2 + 16 + 12*p + 1/4*p**3.
(p + 4)**3/4
Let v(l) be the first derivative of l**6/240 + l**5/40 + l**4/16 - 7*l**3/3 + 8. Let w(n) be the third derivative of v(n). Factor w(b).
3*(b + 1)**2/2
Let y(s) be the first derivative of s**4/16 - s**3/12 - s**2/2 + s + 7. Factor y(f).
(f - 2)*(f - 1)*(f + 2)/4
Let n(b) be the third derivative of b**7/105 + b**6/30 - b**5/30 - b**4/6 - 7*b**2. Factor n(j).
2*j*(j - 1)*(j + 1)*(j + 2)
Let j(d) be the first derivative of d**6/3 + 4*d**5/5 - 4*d**3/3 - d**2 - 1. Determine r, given that j(r) = 0.
-1, 0, 1
Suppose -3*y + 2*h + 60 = 2*y, -4*y = 2*h - 66. Let l = -7 - -10. Factor -10*o**4 + 3*o**3 + 2*o**5 + 0*o**5 + 4*o + 15*o**l - y*o**2.
2*o*(o - 2)*(o - 1)**3
Let b be (-3 - -3)*(-3)/6. Factor -2/5*z**2 + b + 2/5*z.
-2*z*(z - 1)/5
Let p(w) be the third derivative of -w**7/945 - w**6/90 - 13*w**5/270 - w**4/9 - 4*w**3/27 - 13*w**2. Factor p(m).
-2*(m + 1)**2*(m + 2)**2/9
Let d = -41721/4 + 10502. Let j = d - 71. Let 1/4 + j*y**2 + 3/4*y + 1/4*y**3 = 0. What is y?
-1
Let z(h) be the first derivative of -1/3*h**2 + 1/9*h**3 + 1/3*h - 4. Factor z(g).
(g - 1)**2/3
Let y = -287/2 + 144. What is q in -q**2 + 1/2 - y*q = 0?
-1, 1/2
Let l(c) be the second derivative of -c**6/10 - 3*c**5/20 + c**4/4 + c**3/2 - 14*c. Suppose l(s) = 0. Calculate s.
-1, 0, 1
Suppose 3*u + 6 = 6*u. Let o(g) = -g. Let n be o(-3). Solve -2*h**4 - 4*h**n + h**2 + u*h**5 + h**4 + 2*h**5 = 0 for h.
-1, 0, 1/4, 1
Suppose -2*a + 4 = -4. Suppose 9*i**2 + i**4 + 2*i**3 - 4*i**4 - 2 - a - 3*i + i**3 = 0. Calculate i.
-1, 1, 2
Let r be 6/24 - (-22)/8. Factor 9*c**5 - 15*c**5 - 2*c**3 + 9*c**5 + 3*c - 4*c**r - 3 + 6*c**2 - 3*c**4.
3*(c - 1)**3*(c + 1)**2
Let o(z) = 8*z**3 - 16*z - 16. Let u(k) = 7*k**3 - k**2 - 17*k - 15. Let w(p) = -3*o(p) + 4*u(p). Let w(h) = 0. What is h?
-1, 3
Let s(h) be the second derivative of 2*h**7/105 - h**6/10 + h**5/5 - h**4/6 - 3*h**2/2 - 9*h. Let p(m) be the first derivative of s(m). Factor p(w).
4*w*(w - 1)**3
Suppose 0*p - p + 2*l + 7 = 0, p + 2*l - 3 = 0. Suppose 0 = -5*u + 10 + p. Find r, given that 2*r - 2/7 - 8/7*r**4 + 26/7*r**u - 30/7*r**2 = 0.
1/4, 1
Factor -7/4*z + 7/4*z**3 + 1/2 - 1/2*z**2.
(z - 1)*(z + 1)*(7*z - 2)/4
Let -12/13 + 2/13*j**2 - 2/13*j = 0. Calculate j.
-2, 3
Let b(s) be the first derivative of s**4 - 4*s**3/3 - 11. Let b(u) = 0. Calculate u.
0, 1
Let v = -3 - 3. Let x be (-4)/v - (-10)/(-15). Solve x + 0*c + 1/3*c**4 + 1/3*c**5 - 1/3*c**3 - 1/3*c**2 = 0 for c.
-1, 0, 1
Let m(u) = -u**2 + 4*u - 3. Let c be 4 - (1 - -2)/3. Let h be m(c). Find j such that 1 - j - j**2 - 4*j**3 + 5*j + h*j = 0.
-1, -1/4, 1
Let q(s) = s**3 - 7*s**2 + 10*s - 20. Let l be q(6). Factor -1/4*j**l + 1/4*j**2 + 0*j + 0*j**3 + 0.
-j**2*(j - 1)*(j + 1)/4
Let q be (-1)/3 - (-140)/6. Let k = -68/3 + q. What is t in k*t**3 + 2/3*t**2 + 1/3*t + 0 = 0?
-1, 0
Let j = 13 - 11. Let c be (-27)/(-20) + j/8. Factor 16/5*h + 2/5*h**3 + c + 2*h**2.
2*(h + 1)*(h + 2)**2/5
Let d = -1 + 1. Factor 2*s**5 + 2*s**4 + d*s**2 - 2*s - 6*s**4 + 4*s**2.
2*s*(s - 1)**3*(s + 1)
Let q(i) = -i - 1. Let z(b) = 2*b**2 - 2*b - 6. Let c(o) = 2*o**2 - 3*o + 3. Let l be c(3). Let p(g) = l*q(g) - 2*z(g). Factor p(j).
-4*j*(j + 2)
Let r(l) = -l**3 + 7*l**2 + 8*l + 2. Let v be r(8). Let f be -2 + (314 + -2)/v. Factor -17*a**5 + 7*a**2 - 99*a**5 + a**2 + f*a**4 - 64*a**3 + 18*a**5.
-2*a**2*(a - 1)*(7*a - 2)**2
Let a(l) be the second derivative of -l**9/2520 - l**8/672 + l**7/630 - l**4/3 - l. Let s(p) be the third derivative of a(p). Factor s(d).
-2*d**2*(d + 2)*(3*d - 1)
Let z(f) be the second derivative of f**5/80 + 5*f**4/24 + 17*f**3/24 + f**2 - 43*f. Solve z(l) = 0 for l.
-8, -1
Suppose l - 3 = -1. Let w(n) be the first derivative of 1/2*n**l + 2 + 1/3*n**3 + 0*n. Factor w(k).
k*(k + 1)
Let u(g) be the first derivative of g**8/840 - 2*g**7/105 + 4*g**6/45 - 5*g**3/3 - 2. Let p(x) be the third derivative of u(x). Factor p(b).
2*b**2*(b - 4)**2
Suppose -5*h + 3*k + 1 = 0, 3*h + 0*h - 3*k - 3 = 0. Let b(q) = 20*q**3 + 10*q**2 - 10*q - 6. Let i(w) = w**3 - w - 1. Let x(d) = h*b(d) + 6*i(d). Factor x(f).
-2*f*(f + 1)*(7*f - 2)
Let 7*y**3 - 2*y**3 - 13*y**3 + 0*y**3 + 18*y**2 - 4*y = 0. Calculate y.
0, 1/4, 2
Suppose 2 = z - 1. Suppose 2*p = 3*p - z. Factor -2/5*v**4 + 2/5*v**p + 0 + 0*v + 0*v**2.
-2*v**3*(v - 1)/5
Let g be ((-4)/(-1))/4 + 2. Let d = g - 1. Let -8/9*h**d + 10/9*h - 4/9 + 2/9*h**3 = 0. What is h?
1, 2
Let p = 37/294 - -2/49. Let r(z) be the second derivative of 2*z - p*z**3 + 0 + 1/12*z**4 + 0*z**2. Determine k so that r(k) = 0.
0, 1
Let s(l) be the first derivative of -3*l**4/8 - 5*l**3/2 - 