**5/2 - 20*c**4/3 - 16*c**3/3 + 45*c. Factor s(p).
-2*p*(5*p + 4)**2
Let f(s) = -s**3 - 13*s**2 + s + 13. Let j be f(-13). Let z(g) be the first derivative of j*g - 2 + 1/6*g**2 - 1/9*g**3. Solve z(r) = 0.
0, 1
Let l = -181 - -911/5. Solve 3/5*g**2 + l*g**3 + 3/5*g**4 + 0 + 0*g = 0.
-1, 0
Let d be ((-18)/(-15))/(45/75). Let 0*x - 1 + 1/4*x**3 + 3/4*x**d = 0. Calculate x.
-2, 1
Let v(p) be the first derivative of -p**6/3 + 2*p**5/5 + p**4/2 - 2*p**3/3 - 3. Factor v(g).
-2*g**2*(g - 1)**2*(g + 1)
Let w(y) = 4*y - 1. Let l be w(2). Let x be (-1)/(l*4/(-8)). Factor -x*c**2 - 2/7*c**4 + 4/7*c**3 + 0*c + 0.
-2*c**2*(c - 1)**2/7
Let m(i) = -7*i**2 - 19*i + 22. Let r(a) = -a**2 - a + 1. Let c(j) = -m(j) + 4*r(j). Factor c(k).
3*(k - 1)*(k + 6)
Suppose 5*z - 5 = -5*f, -23 = -f - 2*f + 2*z. Let s(t) be the second derivative of 2/3*t**4 + 2*t**2 + 0 + 5/3*t**3 + 2*t + 1/10*t**f. Factor s(i).
2*(i + 1)**2*(i + 2)
Let a(l) be the first derivative of 2*l**3/9 - l**2/3 + 9. Determine t so that a(t) = 0.
0, 1
Suppose -3*n + n = 4, -5*g + 35 = -5*n. Suppose 2*d = 4*z, g*z - 2*z = 2*d. Let -2/9*s**2 + 2/9*s**3 + 2/9*s**4 - 2/9*s**5 + z + 0*s = 0. Calculate s.
-1, 0, 1
Let d(i) be the first derivative of -i**5/15 + 2*i**3/9 - i/3 - 8. Factor d(t).
-(t - 1)**2*(t + 1)**2/3
Let q(f) = 11*f**2 - 12*f**2 - 4*f + 6 - 2*f. Let k(s) = 3*s**2 + 13*s - 13. Let o(c) = -2*k(c) - 5*q(c). Factor o(i).
-(i - 2)**2
Let a = -6/19 + 31/38. Let r(c) be the second derivative of 0 + 1/24*c**4 + a*c**2 + 2*c + 1/4*c**3. Factor r(s).
(s + 1)*(s + 2)/2
Let x(l) = l**3 + 7*l**2 + l. Let q be x(-6). Solve -q - 14*n**2 + 4*n + 30 = 0.
0, 2/7
Let n = -5369/375 - 2/125. Let f = n - -15. Factor -f + 2/3*s**3 + 2/3*s**2 - 2/3*s.
2*(s - 1)*(s + 1)**2/3
Let f be (-108)/(-26) - 4/26. Find r such that 16*r**2 - 22*r**2 + 11*r**f + 4*r**4 + 9*r**3 = 0.
-1, 0, 2/5
Let c(x) = -3*x**2 + 3*x. Let j(p) = -p**4 + p. Let u(v) = 2*c(v) - 2*j(v). Factor u(o).
2*o*(o - 1)**2*(o + 2)
Let a(x) = -3*x**3 + x + 6. Let v(n) = -n**3 - n**2 - n + 1. Let b(p) = 5*a(p) - 20*v(p). Factor b(q).
5*(q + 1)**2*(q + 2)
Let d(m) be the second derivative of -1/7*m**2 + 1/42*m**4 - 2*m + 0*m**3 + 0. Suppose d(g) = 0. What is g?
-1, 1
Let i(a) be the second derivative of a**5/70 + 11*a**4/42 + 5*a**3/3 + 25*a**2/7 + 4*a. Find w, given that i(w) = 0.
-5, -1
Let c be 1/((-1)/5*25/(-20)). Suppose -3*o + 2*r = 10, 20 = 4*o + 5*r - r. Factor -2/11*a**5 + 2/11*a**2 + 0 + 6/11*a**c + o*a - 6/11*a**3.
-2*a**2*(a - 1)**3/11
Let m(c) = 5*c**4 - 6*c**3 + 7*c**2 + 6. Let p(u) = 11*u**4 - 13*u**3 + 15*u**2 + 13. Let j(t) = -13*m(t) + 6*p(t). Factor j(h).
h**2*(h - 1)*(h + 1)
Solve 35/2*w**2 + 5*w + 0 = 0.
-2/7, 0
Suppose 2*l = 2*i + 16, -4*l - 11*i - 13 = -6*i. Factor 0*k + 0 - 3/7*k**2 - 3/7*k**l.
-3*k**2*(k + 1)/7
Let b = -87/2 - -44. Let f be -2 + 2 + -2 - -2. Find x such that -b*x**3 + 1/2*x**2 + f + 1/2*x - 1/2*x**4 = 0.
-1, 0, 1
Let d = 25 + -74/3. Let u(m) be the first derivative of 1/3*m**2 + d*m + 2 + 1/9*m**3. Let u(t) = 0. Calculate t.
-1
Let 1/2*k + 1/2*k**2 - 1 = 0. Calculate k.
-2, 1
Let g(i) be the first derivative of 0*i**2 + 0*i + 2 - 2/3*i**3 - 1/2*i**4. Factor g(f).
-2*f**2*(f + 1)
Let x(d) be the second derivative of -d**2 - d - 1/6*d**4 + 0 + 2/3*d**3. Factor x(z).
-2*(z - 1)**2
Let b(c) = -c - 5. Let y be b(-6). Suppose 0 = 3*r + 6, -n - y = 4*r + 4. Factor 0*g**4 + 0 + 2/5*g**5 + 0*g**2 - 4/5*g**n + 2/5*g.
2*g*(g - 1)**2*(g + 1)**2/5
Let o(y) be the first derivative of -4*y**3/3 - 16*y**2 - 28*y - 18. Factor o(d).
-4*(d + 1)*(d + 7)
Let r(i) be the second derivative of -i**6/30 + i**5/50 + i**4/4 - 8*i**3/15 + 2*i**2/5 - 41*i. Suppose r(l) = 0. What is l?
-2, 2/5, 1
Let a(v) be the second derivative of v**6/30 + v**5/20 - 14*v. Find y such that a(y) = 0.
-1, 0
Let y(c) be the second derivative of c**8/3360 + c**7/630 + c**6/360 + c**4/4 + 2*c. Let t(o) be the third derivative of y(o). Find v, given that t(v) = 0.
-1, 0
Let y be (10/(-6))/((-5)/15). Let g(j) be the third derivative of 0*j + 0*j**3 + 1/105*j**y - j**2 + 1/84*j**4 + 1/420*j**6 + 0. Find m such that g(m) = 0.
-1, 0
Let m(b) be the second derivative of b**5/20 - b**4/12 - 6*b. Factor m(z).
z**2*(z - 1)
Let q(u) be the first derivative of -2/7*u + 3/7*u**2 + 1/14*u**4 - 2/7*u**3 - 3. Factor q(s).
2*(s - 1)**3/7
Let f(b) be the first derivative of b**5/5 - b**4 + 2*b**3 - 2*b**2 + b + 31. Determine j so that f(j) = 0.
1
Let r(l) be the first derivative of l**4/2 - 4*l**3 + 3*l**2 + 20*l + 37. Factor r(z).
2*(z - 5)*(z - 2)*(z + 1)
Suppose -48 = -25*l + 17*l. Let r(b) be the first derivative of -3 - 1/4*b**l + 0*b - 3/2*b**3 + 0*b**2 - 21/8*b**4 + 17/10*b**5. Determine o so that r(o) = 0.
-1/3, 0, 3
Let p(h) be the second derivative of 7*h**4/6 + 5*h**3/3 - 2*h**2 + h. Factor p(x).
2*(x + 1)*(7*x - 2)
Let k(g) be the second derivative of 0*g**2 - 1/35*g**5 - 1/42*g**4 + 0*g**3 - 2*g - 1/105*g**6 + 0. Factor k(o).
-2*o**2*(o + 1)**2/7
Let w(b) = -b**2 - 7*b - 4. Let x be -6*(2*-1)/(-2). Let u be w(x). Determine h, given that -h**2 - h + u*h**2 - h = 0.
0, 2
Let t(r) = 3*r**3 + 11*r**2 + 7*r - 1. Let c(y) = y**2 - 1. Suppose 2*u - 2 = 6, 4*h - 2*u = 0. Let v(j) = h*t(j) - 6*c(j). Factor v(g).
2*(g + 1)**2*(3*g + 2)
Let g = 3245/3794 + 1/542. Factor 2/7*x**3 + 6/7*x + g*x**2 + 2/7.
2*(x + 1)**3/7
Factor 4 - p**3 + 8*p**2 - 3*p - 9*p - 3*p**2 + 4*p.
-(p - 2)**2*(p - 1)
Let p be 8/4 + 0/(-3). Suppose p = y - 0. Factor 0 + 0*c + 2/3*c**y.
2*c**2/3
Let a(f) be the second derivative of 5/2*f**2 + 2*f + 1/21*f**4 + 1/420*f**6 + 0*f**3 + 0 - 2/105*f**5. Let i(k) be the first derivative of a(k). Factor i(c).
2*c*(c - 2)**2/7
Let l(v) = v**3 - 3*v**2 - 6*v + 4. Let r(b) = -2*b**3 + 7*b**2 + 13*b - 9. Let w(k) = -9*l(k) - 4*r(k). Factor w(t).
-t*(t - 1)*(t + 2)
Let h(u) = 12*u**2 - 3*u - 12. Let g(l) = -l**3 + 11*l**2 - 2*l - 12. Let f(p) = 3*g(p) - 2*h(p). Factor f(i).
-3*(i - 2)**2*(i + 1)
Let p(n) be the third derivative of -27*n**8/224 - 93*n**7/140 - 71*n**6/48 - 67*n**5/40 - n**4 - n**3/3 + 13*n**2. Factor p(a).
-(a + 1)**3*(9*a + 2)**2/2
Let w = 60 + -58. Let i(j) be the first derivative of 0*j + 0*j**w - 1/22*j**4 + 2 - 4/33*j**3. Let i(r) = 0. Calculate r.
-2, 0
Let w(j) be the third derivative of -j**7/105 - j**6/30 - j**5/30 - 4*j**2. What is m in w(m) = 0?
-1, 0
Suppose -7 = -m - 2*i + 5, 3*m - 3*i = -9. Factor 4 - 5 - 1 - k**m + 3.
-(k - 1)*(k + 1)
Let s(g) be the third derivative of 2/3*g**3 + 1/10*g**6 - 2*g**2 + 0*g - 2/15*g**5 - 1/4*g**4 - 1/56*g**8 + 2/105*g**7 + 0. Let s(r) = 0. Calculate r.
-1, 2/3, 1
Let j(d) be the first derivative of d**4/4 - 2*d**3/3 + 3*d**2/2 - 2*d + 7. Let s be j(2). Suppose -1/3*x**3 - 1/3*x**s + 0 + 0*x + 0*x**2 = 0. What is x?
-1, 0
Let g(l) be the second derivative of 0 + 1/45*l**6 - 3*l - 1/3*l**2 + 0*l**4 - 2/9*l**3 + 1/15*l**5. Factor g(z).
2*(z - 1)*(z + 1)**3/3
Let t = 28 + -26. Suppose 2/5*m**t + 4/5*m + 0 = 0. What is m?
-2, 0
Let s = 2 - -4. Factor -4 - s*g**2 + g**2 + 3*g**2 + 0*g + 6*g.
-2*(g - 2)*(g - 1)
Find i such that 2/3*i**3 + 0*i - 2*i**2 + 8/3 = 0.
-1, 2
Let c(u) be the second derivative of 2*u**6/135 - u**4/27 + 31*u. Let c(r) = 0. Calculate r.
-1, 0, 1
Let r(d) be the first derivative of -d**5 + 5*d**4 - 5*d**3 - 19. Factor r(k).
-5*k**2*(k - 3)*(k - 1)
Let z(d) be the second derivative of d**4/2 - 5*d**3/3 - 2*d**2 - 3*d + 5. Determine o so that z(o) = 0.
-1/3, 2
Let f(u) = -20*u**2 + 24*u + 20. Let d(o) = -8*o**2 + 10*o + 8. Let n(z) = -12*d(z) + 5*f(z). Factor n(q).
-4*(q - 1)*(q + 1)
Let y(r) be the first derivative of -14*r**5/5 - 8*r**4 - 8*r**3/3 - 19. Factor y(t).
-2*t**2*(t + 2)*(7*t + 2)
Let i(o) be the first derivative of -o**5/5 - 5*o**4/8 - 2*o**3/3 - o**2/4 + 22. Factor i(q).
-q*(q + 1)**2*(2*q + 1)/2
Let y = -49 - -51. Let x(d) be the third derivative of 1/6*d**3 + 1/20*d**5 + 0 + 0*d - 1/8*d**4 - d**y - 1/120*d**6. Determine b, given that x(b) = 0.
1
Let m = 6 + -1. Let g = 9 - m. Find q, given that -2*q**5 - 3*q**2 + 16*q**3 + 3*q**g - q**5 - 13*q**3 = 0.
-1, 0, 1
Let z(f) be the second derivative of -f**4/3 - 2*f**3/3 + 4*f**2 - 4*f. Factor z(n).
-4*(n - 1)*(n + 2)
Let b(c) be the second derivative of 5*c**7/21 + 17*c**6/60 - 9*c**5/8 + c**4/6 + c**3/3 - 7*c. Solve b(x) = 0 for x