 3*y**3 - 3*y**2 - 21*y + 18. Let u(c) = l*r(c) + 12*p(c). Factor u(i).
-3*(i - 2)*(i - 1)**2*(i + 1)
Let z(y) be the first derivative of 2*y**6/15 + y**5/2 + y**4/2 - y**3/3 - y**2 + 3*y - 2. Let p(q) be the first derivative of z(q). Factor p(o).
2*(o + 1)**3*(2*o - 1)
Let s(a) be the first derivative of 2*a + 2/3*a**3 + 2*a**2 - 6. Solve s(j) = 0 for j.
-1
Let z be 407/(-330) - 2/(-15). Let o = z - -8/5. Factor o*v**2 - 3/2*v + 1.
(v - 2)*(v - 1)/2
Let s(h) = -11*h**3 - 11*h**2 + h + 1. Let x(v) = 27*v**3 + 27*v**2 - 3*v - 3. Let j(t) = -12*s(t) - 5*x(t). Determine i, given that j(i) = 0.
-1, 1
Let l(d) be the third derivative of -d**6/40 + 3*d**5/20 - 3*d**4/8 + d**3/2 - 7*d**2. Factor l(z).
-3*(z - 1)**3
Let q = -7 - 5. Let s = 12 + q. Factor s*n**3 - 6/11*n**2 + 0 + 2/11*n + 8/11*n**4.
2*n*(n + 1)*(2*n - 1)**2/11
Suppose -3*z = 2*z - 4*p - 26, 10 = -3*z - 4*p. Factor 3/5*r**z - 3/5*r**3 + 1/5*r**4 + 0 - 1/5*r.
r*(r - 1)**3/5
Let f(p) = 2*p**4 + 4*p**3 - 3*p**2 + 7*p + 2. Let w = 9 - 1. Let j be w/(-3) + 3/(-9). Let o(a) = a**4 + a**2 + a + 1. Let y(d) = j*o(d) + f(d). Factor y(i).
-(i - 1)**4
Let h be (18/12)/(3*(-3)/(-12)). Let q(n) = n + 5. Let i be q(-5). Factor -1/3*a**3 + 0 + 1/3*a + i*a**h.
-a*(a - 1)*(a + 1)/3
Let g = -146398193/440 + 332724. Let s = g + -3/88. Factor s*j + 2/5*j**2 + 2/5.
2*(j + 1)**2/5
Let u be (4/2)/(3/36*8). Factor 3 + 3/2*d**u + 6*d**2 + 15/2*d.
3*(d + 1)**2*(d + 2)/2
Suppose 0 = -6*g + 11 + 7. Factor 0 + 0*w + 0*w**2 - 1/4*w**g - 1/4*w**4.
-w**3*(w + 1)/4
Factor 4/3*w + 2 + 2/9*w**2.
2*(w + 3)**2/9
Let v(a) = -8*a + 24. Let g be v(3). Let i(u) be the third derivative of 0*u + 1/18*u**5 - 1/3*u**4 + g + 3*u**2 + 4/9*u**3. Determine n, given that i(n) = 0.
2/5, 2
Let i(q) be the first derivative of -q**7/168 + q**5/80 - 3*q + 2. Let f(x) be the first derivative of i(x). Factor f(l).
-l**3*(l - 1)*(l + 1)/4
Let p(a) = -a**3 - a - 6. Let n(f) = -2*f**3 - 3*f - 13. Let u(q) = 4*n(q) - 9*p(q). Solve u(l) = 0 for l.
-2, 1
Let v = -39 - -12. Let a be 15/v*(-8)/20. Let 2/9*l**3 + 0*l - a*l**2 + 0 = 0. What is l?
0, 1
Let o = -2358949/855 + 24833/9. Let j = -1/57 + o. Factor j*l**5 + 0 - 2/5*l**3 + 0*l**4 + 1/5*l + 0*l**2.
l*(l - 1)**2*(l + 1)**2/5
Let g = 32/11 - 30/11. Let r = 3/44 + g. Factor 1/4*s**3 - r + 3/4*s - 3/4*s**2.
(s - 1)**3/4
Let h be (3 - 0)*(-4)/(-6). Let u be 14/(3/(-16)*-4 - 0). Factor 98/3*p**h + u*p + 8/3.
2*(7*p + 2)**2/3
Let p be (-3 - -2)/((-3)/(-6)). Let o be (2/5)/(p/(-10)). Suppose -2*f**2 - 2 + 0*f**2 + o*f + 6 = 0. What is f?
-1, 2
Let w be 7/35*3/6. Let t(d) be the first derivative of -w*d**5 + 0*d**2 - 1/12*d**6 - 2 + 0*d + 1/8*d**4 + 1/6*d**3. Factor t(h).
-h**2*(h - 1)*(h + 1)**2/2
Suppose 3*p = -5*k - 20, -k - 6 = -p + 2*p. Let f be k - (-5 - (-3 - -2)). Solve 3*s - 24*s**2 - 12*s**4 + 33*s**f + 0 + 3 - 3*s**2 = 0.
-1/4, 1
Determine r, given that 24/5 - 15*r**5 - 174/5*r**2 - 12/5*r + 30*r**4 + 87/5*r**3 = 0.
-1, -2/5, 2/5, 1, 2
Let j(v) be the third derivative of -7/24*v**4 - 7*v**2 + 0 + 0*v + 3/20*v**5 - 1/3*v**3. Factor j(y).
(y - 1)*(9*y + 2)
Let y(c) be the second derivative of 0 + 0*c**2 + 1/39*c**3 + 1/78*c**4 - 4*c. Let y(g) = 0. What is g?
-1, 0
Let x(g) be the second derivative of g**5/20 + g**4/12 + 3*g. Determine a so that x(a) = 0.
-1, 0
Let v(r) be the third derivative of 2*r**7/105 - 14*r**6/15 + 98*r**5/5 - 686*r**4/3 + 4802*r**3/3 - 16*r**2. Factor v(u).
4*(u - 7)**4
Let q(w) be the first derivative of -1/8*w**4 + 1/2*w**3 + 0*w**2 - 4 - 2*w. What is d in q(d) = 0?
-1, 2
Let m be (10/(-6) - -2)/((-1)/(-18)). Let h(i) be the first derivative of 4/5*i**5 + i**2 - 4/3*i**3 - 2 + 0*i**4 - 1/3*i**m + 0*i. Factor h(b).
-2*b*(b - 1)**3*(b + 1)
Let w(z) = -7*z**2 - z - 1. Let a be w(-1). Let b(x) = -3*x**2 + 4*x - 3. Let m(s) = -10*s**2 + 13*s - 10. Let l(c) = a*b(c) + 2*m(c). Factor l(t).
(t - 1)**2
Find n, given that -6*n**2 + 2*n + 10*n**3 - 13*n**3 - 2*n = 0.
-2, 0
Let c(n) be the first derivative of n**8/4200 - n**7/700 + n**6/300 - n**5/300 - 8*n**3/3 - 8. Let o(u) be the third derivative of c(u). Factor o(h).
2*h*(h - 1)**3/5
Factor 0 + 1/2*h - 1/2*h**4 + 1/2*h**2 - 1/2*h**3.
-h*(h - 1)*(h + 1)**2/2
Let y = 256 + -256. Suppose -2/3*k - 2/3*k**2 + y = 0. Calculate k.
-1, 0
Let d be 0 - (-1 + 0) - (-1 - 0). Solve -4/3 - 2/3*g**2 - d*g = 0.
-2, -1
Let k = 4 - 5. Let q(i) = -3*i. Let v be q(k). Solve -2*g**3 - v + 4*g - 2*g**2 + 3 = 0.
-2, 0, 1
Let v(b) = b**3 - 7*b**2 - b + 10. Let s be v(7). Factor 6 + 34*y + 42 + s*y**2 - 58*y.
3*(y - 4)**2
Suppose 6 = -a + 5*i, -5*i - 8 + 26 = 2*a. Let h be 2/(-4)*(-56)/18. Suppose -10/9*q**3 + 0*q + 0 - 4/9*q**2 + h*q**a = 0. Calculate q.
-2/7, 0, 1
Suppose 4*a - 22 = -10. Factor -1/5*l + l**2 - 4/5*l**a + 0.
-l*(l - 1)*(4*l - 1)/5
Let o(q) = 6*q**4 + 12*q**3 + 4*q**2 + 2*q - 2. Let g(s) = s**5 - 11*s**4 - 25*s**3 - 8*s**2 - 5*s + 5. Let w(h) = 2*g(h) + 5*o(h). Factor w(n).
2*n**2*(n + 1)**2*(n + 2)
Let i be (-47)/282 + 2/6. Let n(t) be the second derivative of 0*t**3 + i*t**4 + 0 - 5*t - t**2. Let n(g) = 0. What is g?
-1, 1
Determine o, given that -32/9*o**5 - 38/3*o**3 - 112/9*o**4 - 4*o**2 + 0 + 0*o = 0.
-2, -3/4, 0
Let k(r) be the first derivative of r**4 + 8*r**3 + 24*r**2 + 32*r + 17. Factor k(f).
4*(f + 2)**3
Let i = 2 + 18. Factor 60*j**2 + 56*j**3 + 9*j**3 + 4*j**3 + j**4 + 12*j + i*j**4.
3*j*(j + 1)*(j + 2)*(7*j + 2)
Suppose -11*v = -6*v - 15. Let -2*l**3 + 3*l**5 - v*l**4 - l**3 + l**4 + 0*l**2 + 2*l**2 = 0. Calculate l.
-1, 0, 2/3, 1
Suppose 3*m = -2*m. Let w(j) be the first derivative of 0*j + 0*j**5 - 1/3*j**6 - j**2 + m*j**3 + j**4 - 1. Factor w(y).
-2*y*(y - 1)**2*(y + 1)**2
Find r such that 2/3*r**3 + 8/3*r + 0 + 8/3*r**2 = 0.
-2, 0
Factor 2/3*q**2 + 98/3 + 28/3*q.
2*(q + 7)**2/3
Let z(r) = -r**2 + 23*r + 54. Let f be z(25). Factor -2/3*h**f + 0 + 0*h**3 + 2/3*h**2 + 1/3*h - 1/3*h**5.
-h*(h - 1)*(h + 1)**3/3
Let n(m) = 13*m - 9. Let x be n(-7). Let c = -290/3 - x. Factor 8/3*g**2 + 4/3 - 2/3*g**3 - c*g.
-2*(g - 2)*(g - 1)**2/3
Find t such that -16/5*t**3 + 2/5 + 0*t - 12/5*t**2 - 6/5*t**4 = 0.
-1, 1/3
Let i(o) be the third derivative of -3*o**2 + 1/60*o**4 + 1/175*o**7 + 1/30*o**5 + 0*o + 7/300*o**6 + 0 + 0*o**3. Find f, given that i(f) = 0.
-1, -1/3, 0
Let i be ((-12)/(-8))/((-6)/(-40)). Suppose -i = -g - 4*g. Factor 2*c**3 - 3 + 5 + g*c**4 - 4*c**2 - 2*c**5 - 2*c + 2*c**3.
-2*(c - 1)**3*(c + 1)**2
Let n(k) be the first derivative of -1/20*k**5 - 3 + 2*k - 5/16*k**4 + 1/2*k**2 - 1/2*k**3. Factor n(u).
-(u - 1)*(u + 2)**3/4
Let t(f) = f**2. Let l(j) = 3*j**2 + 5*j + 5. Let i(n) = 14*n**2 + 26*n + 26. Let a(r) = -3*i(r) + 16*l(r). Let q(k) = -a(k) + 10*t(k). Factor q(g).
2*(g - 1)*(2*g + 1)
Let r(j) be the first derivative of -j**6/60 - 2*j**5/25 - j**4/10 + j**3/15 + j**2/4 + j/5 + 8. Factor r(d).
-(d - 1)*(d + 1)**3*(d + 2)/10
Let u be 26/8 - (-9)/12. Suppose -5 = -u*r + 3. Factor -12/5*h**r - 9/5*h - 2/5 - h**3.
-(h + 1)**2*(5*h + 2)/5
Factor -1 - 2*j - 3*j**3 - 2 - j + 3*j**2 + 6*j.
-3*(j - 1)**2*(j + 1)
Let z(n) be the third derivative of n**8/504 - n**6/90 + n**4/36 + 16*n**2. Factor z(w).
2*w*(w - 1)**2*(w + 1)**2/3
Factor 2/9*y**4 + 0*y + 4/9*y**3 + 0 + 2/9*y**2.
2*y**2*(y + 1)**2/9
Let o = 147 - 35. Let h = o - 445/4. Factor 0*g + 1/4*g**3 + h*g**2 - 1.
(g - 1)*(g + 2)**2/4
Let s(b) be the second derivative of 0 + 0*b**3 - 1/20*b**5 + 1/42*b**7 - 6*b + 1/12*b**4 - 1/30*b**6 + 0*b**2. Factor s(c).
c**2*(c - 1)**2*(c + 1)
Let b = -165 - -169. Find l such that 10*l**2 + 2/3 + 26/3*l**3 + 14/3*l + 8/3*l**b = 0.
-1, -1/4
Let i(u) = -u**3 - u**2 - u + 4. Let s be i(2). Let a be (-4)/s*(19 + -9). Solve 2/3*z + 4*z**3 + 8/3*z**a + 0 + 2/3*z**5 + 8/3*z**2 = 0.
-1, 0
Let d(m) = m**2 - 4*m. Let i be d(4). Suppose i = 5*x - 6*x. Find b such that x - 2*b**2 + 12/5*b**3 + 2/5*b = 0.
0, 1/3, 1/2
Let r(s) = -s**3 + 13*s**2 - 10*s - 24. Let t be r(12). Let f(w) be the third derivative of 0 + t*w + 1/30*w**5 - 2*w**2 + 0*w**3 - 1/12*w**4. Factor f(j).
2*j*(j - 1)
Let w(n) = 2*n**2 + 3*n + 1. Let g be w(-2). Let 15*r**2 + g*r**5 - 9*r**3 - 3*r**2 - 4*r - 12*r**4 + 10*r**4 = 0. What is r?
-2, 0, 2/3, 1
Find z such that -2*z**5 + 491*z**2 - 491*z**2 - 2*z**3 - 4*z**4 = 0.
-1, 0
Factor -64/3 + 32/3*t - 4/3*t**2.
-4*(t - 4)**2/