*o**3 - 3/10*o**2 + 0 + 1/20*o**4 + 3/100*o**5. Factor k(l).
3*(l - 1)*(l + 1)**2/5
Let k(g) be the first derivative of 0*g**2 - 1 - 2*g - 1/90*g**6 + 1/36*g**4 + 1/18*g**3 - 1/60*g**5. Let f(b) be the first derivative of k(b). Solve f(q) = 0.
-1, 0, 1
Let l = 226 - 437/2. Let p = l + -7. Factor 1/4*o**3 + 3/4*o**2 + 0 + p*o.
o*(o + 1)*(o + 2)/4
Factor 9 + 10 - 3*r - 3*r**3 + 3*r**2 - 22 + 6*r**3.
3*(r - 1)*(r + 1)**2
Let d(g) be the third derivative of -2*g**5/5 - 9*g**4/8 - g**3/2 - 27*g**2. Factor d(h).
-3*(h + 1)*(8*h + 1)
Let o = -50 + 19. Let z = -31 - o. Factor -8/9*m**4 - 4/9*m**2 + 0 + 2/9*m**5 + 10/9*m**3 + z*m.
2*m**2*(m - 2)*(m - 1)**2/9
Let p(o) = 5*o**4 - 8*o**3 + 10*o**2 - 4*o + 3. Let d(k) = 25*k**2 + 1 - 3*k**4 + 4*k**4 - 25*k**2. Let z(t) = -3*d(t) + p(t). Solve z(q) = 0.
0, 1, 2
Let g be 7/9 - 2/3. Let a(k) be the first derivative of 2/27*k**3 - 2/45*k**5 + 1/18*k**4 + 0*k - g*k**2 + 1. Factor a(y).
-2*y*(y - 1)**2*(y + 1)/9
Let r(k) be the first derivative of -k**4/36 - k**3/6 - k**2/3 + 2*k - 5. Let f(x) be the first derivative of r(x). Factor f(h).
-(h + 1)*(h + 2)/3
Factor -27/4 - 27*u - 16*u**3 - 36*u**2.
-(4*u + 3)**3/4
Let m(i) be the second derivative of i**5/40 - i**4/6 + i**3/4 + 66*i. Factor m(w).
w*(w - 3)*(w - 1)/2
Let m(h) = -h**3 + h**2 + h - 1. Suppose 3*d + 4 = 7. Let z(u) = 5*u**4 - 3*u**3 - 2*u**2 - 4*u + 4. Let g(k) = d*z(k) + 4*m(k). Factor g(y).
y**2*(y - 1)*(5*y - 2)
Let d = 5 - 20. Let w(a) = a + 17. Let r be w(d). Factor 2/7*f**r - 2/7 + 0*f.
2*(f - 1)*(f + 1)/7
Determine k so that 56 - k - 108 - k**2 + 54 = 0.
-2, 1
Let s(g) be the first derivative of 1/30*g**4 - 1/15*g**3 - 1/150*g**5 + g**2 + 0*g + 2. Let p(a) be the second derivative of s(a). Factor p(r).
-2*(r - 1)**2/5
Factor 0 + 1/4*p**2 + p.
p*(p + 4)/4
Suppose -2*x + 11 = 5. Let v(o) be the first derivative of 0*o**2 + 1/4*o**4 + 1/3*o**x - 3 + 0*o. Find p, given that v(p) = 0.
-1, 0
Let w(v) be the first derivative of 2*v**3/33 - 2*v**2/11 + 2*v/11 - 53. Factor w(c).
2*(c - 1)**2/11
Let c(i) be the third derivative of 0*i + 1/12*i**5 + 1/3*i**3 - 2*i**2 + 0 - 7/24*i**4. Determine l so that c(l) = 0.
2/5, 1
Let i be (-1)/6 + (-75)/(-10) + -7. Solve 0 + 1/3*z - 2/3*z**2 + 2/3*z**4 + 0*z**3 - i*z**5 = 0.
-1, 0, 1
Let y(o) be the second derivative of 1/18*o**3 + 1/90*o**6 - 1/60*o**5 + 0*o**2 + 0 - 1/36*o**4 - 2*o. Factor y(b).
b*(b - 1)**2*(b + 1)/3
Determine y, given that 62*y**2 - 26*y**2 + 3*y**3 - 20*y**2 - 25*y**2 = 0.
0, 3
Solve 2/9*x**3 - 32/9 + 14/9*x**2 + 16/9*x = 0 for x.
-4, 1
Let g(j) be the third derivative of j**7/1080 + j**6/432 - j**5/180 - j**4/8 + 3*j**2. Let o(w) be the second derivative of g(w). Suppose o(s) = 0. Calculate s.
-1, 2/7
Let g(a) be the first derivative of 2*a**6/3 + 8*a**5/5 - 8*a**3/3 - 2*a**2 + 11. Factor g(w).
4*w*(w - 1)*(w + 1)**3
Let k(y) be the first derivative of -4*y**5/25 - 2*y**4/5 + 10. Factor k(u).
-4*u**3*(u + 2)/5
Let f(o) be the first derivative of -o**6/300 + o**5/60 - o**4/30 + o**3/3 - 2. Let a(z) be the third derivative of f(z). Factor a(d).
-2*(d - 1)*(3*d - 2)/5
Factor -81/2*c**2 - 1/2 + 9*c.
-(9*c - 1)**2/2
Let m(c) be the first derivative of 0*c - 1/2*c**4 - 4/9*c**3 - 2/15*c**5 + 0*c**2 - 2. Factor m(t).
-2*t**2*(t + 1)*(t + 2)/3
Let r(v) be the first derivative of 1/6*v**5 - 1/60*v**6 + 4/3*v**3 - 3 - 2/3*v**4 - 3/2*v**2 + 0*v. Let z(n) be the second derivative of r(n). Solve z(s) = 0.
1, 2
Solve -4/9*x + 2/3*x**2 + 1/9*x**4 + 1/9 - 4/9*x**3 = 0 for x.
1
Suppose 2 = -t + 7, -5*x - 2*t + 35 = 0. Let z be (x - 0) + (-9 - -6). Factor -2/7*k**z + 2/7*k**3 + 0*k + 0.
2*k**2*(k - 1)/7
Let k(g) be the second derivative of g**3 + 9/2*g**2 - 8*g + 1/12*g**4 + 0. Let k(u) = 0. Calculate u.
-3
Let w(n) = 2*n - 6. Let u be ((-15)/3)/(-2 + 1). Let y be w(u). Find j, given that 0 + 4/7*j**3 + 0*j + 2/7*j**y + 2/7*j**2 = 0.
-1, 0
Suppose 2*v + 2 = -4. Let i(q) = -2*q**3 + 12*q**2 + 27*q + 27. Let n(t) = -3*t**3 + 13*t**2 + 27*t + 27. Let b(y) = v*n(y) + 4*i(y). Factor b(m).
(m + 3)**3
Let l(z) be the third derivative of 4*z**5/15 - 53*z**4/6 + 26*z**3/3 - 44*z**2. Factor l(f).
4*(f - 13)*(4*f - 1)
Factor -1 + 1/2*z + z**2 - 1/2*z**3.
-(z - 2)*(z - 1)*(z + 1)/2
Let d = -68258/9 + 7604. Solve -d*u**3 - 22/9*u**2 + 32/9*u - 202/9*u**4 + 8/9 - 70/9*u**5 = 0 for u.
-1, -2/7, 2/5
Let w(f) = -2*f - 17. Let m be w(-12). Let r be 20/35*m/3. Suppose -10/3*n - 2/3*n**3 - 8/3*n**2 - r = 0. Calculate n.
-2, -1
Let i be (12 + 2)*(-24)/(-84). Factor 27/5*f**i + 6/5*f**2 + 0 + 33/5*f**3 + 0*f.
3*f**2*(f + 1)*(9*f + 2)/5
Let h(a) be the second derivative of a**7/420 + a**6/120 - a**5/120 - a**4/24 + 7*a**2/2 - a. Let x(q) be the first derivative of h(q). Factor x(g).
g*(g - 1)*(g + 1)*(g + 2)/2
Let j(y) be the third derivative of y**8/3920 - y**7/1960 - y**6/840 + y**5/280 - 2*y**3/3 + 4*y**2. Let x(d) be the first derivative of j(d). Factor x(v).
3*v*(v - 1)**2*(v + 1)/7
Let p be 1/(-2) + 42/4. Suppose -7*a**4 + 7*a**4 - 2*a**5 - 20*a + 2 + 10*a**4 + p*a - 20*a**3 + 20*a**2 = 0. Calculate a.
1
Let g(x) be the first derivative of -3*x**6/2 + 4*x**5 + 26*x**4 + 34*x**3 + 17*x**2/2 - 10*x + 2. What is s in g(s) = 0?
-1, 2/9, 5
Factor 0 - 4*o**3 - 2/3*o - 2/3*o**5 + 8/3*o**4 + 8/3*o**2.
-2*o*(o - 1)**4/3
Let h be -3*(-66)/126 - 1. Find c, given that 0*c**2 + 0*c + 0 - h*c**4 + 2/7*c**3 + 2/7*c**5 = 0.
0, 1
Let 0 + 2/7*d**4 - 4/7*d - 2/7*d**2 + 4/7*d**3 = 0. Calculate d.
-2, -1, 0, 1
Suppose 506*i = 505*i + 3. Factor -1/5*g - 3/5*g**4 + 3/5*g**2 + 0 + 1/5*g**i.
-g*(g - 1)*(g + 1)*(3*g - 1)/5
Suppose 2*g + 2*g - 16 = 0. Suppose 31 = 5*t + 11. Determine y so that 4*y**5 + 0*y**4 + 2*y**g - t*y**3 - 3*y**5 + y**5 = 0.
-2, 0, 1
Let r(y) = y**3 + 4*y**2 + 4*y + 1. Let a be r(-1). Determine q so that a*q + 1/3*q**2 + 0 + q**3 = 0.
-1/3, 0
Let p = 26/7 - 45/14. Let 7/2*d**3 - 2 + 5/2*d**4 - 1/2*d**2 + p*d**5 - 4*d = 0. Calculate d.
-2, -1, 1
Let o be ((-24)/(-21))/(3/3). Let g(n) be the first derivative of o*n - 4 + 2/21*n**3 + 4/7*n**2. Let g(v) = 0. Calculate v.
-2
Let u(r) be the second derivative of r**7/6300 - r**5/300 + 5*r**4/12 - r. Let v(n) be the third derivative of u(n). Factor v(t).
2*(t - 1)*(t + 1)/5
Suppose -2*c - 2 = -3*c, z - 8 = -4*c. Let q(j) be the first derivative of -1/10*j**4 + 1/5*j**2 + 2 + 0*j + z*j**3. Factor q(i).
-2*i*(i - 1)*(i + 1)/5
Let z(i) be the third derivative of -i**7/1260 + i**6/360 - i**4/8 + 3*i**2. Let c(m) be the second derivative of z(m). Factor c(u).
-2*u*(u - 1)
Find i, given that 5/6*i**3 - 5/6*i**2 - 5/6*i + 0 + 5/6*i**4 = 0.
-1, 0, 1
Solve 0*q + 3/4*q**2 - 1 + 1/4*q**3 = 0 for q.
-2, 1
Solve 2*d**3 - 2 - 7*d**2 + 14*d - 8*d + d**2 = 0 for d.
1
Let n(y) be the first derivative of -y**7/105 + y**6/30 + y**5/30 - y**4/6 - y**2/2 + 3. Let c(m) be the second derivative of n(m). Factor c(g).
-2*g*(g - 2)*(g - 1)*(g + 1)
Let a be (-2)/(-10) + 70/25. Let z be (-4)/(56/26) + a. Solve -8/7 - z*r - 2/7*r**2 = 0 for r.
-2
Factor 2/3 - 7/3*p**2 - p**3 + 5/3*p**4 + p.
(p - 1)**2*(p + 1)*(5*p + 2)/3
Suppose -4*d + 14 = -s, 0*d + 1 = -5*s - 3*d. Let y(f) = f**4 + 2*f**3 - f**2 - 2*f - 2. Let v(c) = -1. Let o(q) = s*v(q) + y(q). Factor o(b).
b*(b - 1)*(b + 1)*(b + 2)
Let a be (-1)/((-6)/(-3 - -1)). Let i = 2/3 + a. Factor i*j**2 - 2/3*j + 1/3.
(j - 1)**2/3
Let 4*d - d**2 + 0*d**2 - d**2 - 3*d + d**3 = 0. Calculate d.
0, 1
Let k(y) be the first derivative of -7/30*y**6 + 0*y**3 - 1 - 1/6*y**4 + 0*y**2 - 9/20*y**5 + y. Let b(r) be the first derivative of k(r). Factor b(j).
-j**2*(j + 1)*(7*j + 2)
Suppose 0 - 8/9*q**2 + 0*q + 2/9*q**3 = 0. What is q?
0, 4
Let s(n) be the second derivative of n**7/21 + n**6/3 + 3*n**5/5 - 2*n**4/3 - 8*n**3/3 + 18*n. Factor s(f).
2*f*(f - 1)*(f + 2)**3
Let v(w) = w - 18. Let o be v(10). Let q = o + 12. Factor 0*r**q - 2/5*r**5 + 0*r**2 + 0*r + 0 + 2/5*r**3.
-2*r**3*(r - 1)*(r + 1)/5
Let h(u) = 6*u**2 - 3*u - 21. Let i(s) = -11*s**2 + 6*s + 41. Let l(k) = 5*h(k) + 3*i(k). Factor l(j).
-3*(j - 3)*(j + 2)
Suppose 2*z - 5*g = -16, 4*g + 23 - 29 = 5*z. What is d in 0 - 1/3*d**5 + d**3 + 2/3*d + 1/3*d**4 - 5/3*d**z = 0?
-2, 0, 1
Find w such that 343/5*w**5 - 146/5*w**2 + 8/5 - 12/5*w + 119/5*w**3 + 588/5*w**4 = 0.
-1, -2/7, 2/7
Let l(w) = w**5 + w**4 + w**2 - w. Let j