**4 + 18*v**3 + 6*v**2 + 6*v - 6. Let a(d) = d**5 + d**2 + d - 1. Let u(m) = 12*a(m) - 2*i(m). Factor u(t).
-4*t**3*(t - 9)*(t - 1)
Let s(l) be the first derivative of l**3/18 - l**2 + 6*l - 6. Factor s(f).
(f - 6)**2/6
Let g(r) be the second derivative of 2*r + 0*r**2 + 0*r**3 + 1/10*r**5 - 1/6*r**4 + 0. Factor g(b).
2*b**2*(b - 1)
Let z = 15 - 9. Factor 20 - 6 - 3*b**3 - 8 + 3*b - z*b**2.
-3*(b - 1)*(b + 1)*(b + 2)
Let y(u) be the third derivative of 1/6*u**4 - 1/15*u**5 - 1/30*u**6 + 0 + 0*u - 2*u**2 + 2/3*u**3. Solve y(n) = 0 for n.
-1, 1
Let q(o) be the third derivative of -o**9/6048 + o**8/1680 + o**3/2 - 5*o**2. Let w(j) be the first derivative of q(j). Factor w(i).
-i**4*(i - 2)/2
Let s(i) be the third derivative of -i**5/180 - 7*i**4/72 - 5*i**3/9 + 20*i**2. Factor s(n).
-(n + 2)*(n + 5)/3
Let o(s) = -2*s - 12. Let a be o(-7). Determine f, given that -1/2*f**a + 1 + 1/2*f = 0.
-1, 2
Suppose 2*z = -0*z + 14. Suppose z*g - 15 = 2*g. Factor -5*q**2 + 0*q**g + 4*q**2 - q**3.
-q**2*(q + 1)
Let c(g) be the third derivative of g**9/181440 - g**7/5040 + g**6/1080 + g**5/60 + 3*g**2. Let l(s) be the third derivative of c(s). Factor l(f).
(f - 1)**2*(f + 2)/3
Let v(i) be the first derivative of 2/3*i**3 + 0*i**2 + 2*i**4 + 0*i + 2*i**5 - 4 + 2/3*i**6. Factor v(o).
2*o**2*(o + 1)**2*(2*o + 1)
Let n(g) be the first derivative of 1/2*g**2 + 3/10*g**5 - 6 + 1/2*g - 2/3*g**3 - 1/4*g**4. Let n(z) = 0. What is z?
-1, -1/3, 1
Suppose k + 2 = -8. Let w be (-4)/k*35/21. Let -w*r**4 + 0*r + 2/3*r**3 + 0 - 2/3*r**5 + 2/3*r**2 = 0. Calculate r.
-1, 0, 1
Let p be 6*1/(-4)*(-16)/60. Suppose d - 4*r + 14 = 0, 0*d - 4*r = 4*d - 24. Solve 4/5*x + p + 2/5*x**d = 0.
-1
Factor 4 - 4*v**3 + 2*v**3 - 10*v + 43*v**2 - 35*v**2.
-2*(v - 2)*(v - 1)**2
Let i(x) be the first derivative of 0*x - 1 - 1/14*x**4 + 2/21*x**3 + 0*x**2. Factor i(k).
-2*k**2*(k - 1)/7
Factor -16/3*w + 2/9*w**2 + 32.
2*(w - 12)**2/9
Let r(o) be the second derivative of o**7/14 + o**6/5 - 3*o**5/10 - o**4 + o**3/2 + 3*o**2 + 16*o. Determine x so that r(x) = 0.
-2, -1, 1
Factor 6 + 9 + 6*x**2 - 18*x + 12 - 3*x**2.
3*(x - 3)**2
Let j(y) = y**3 + 5*y**2 - 7*y - 2. Let u be j(-6). Let x = u + -2. Suppose x*a + 2*a - 3*a**2 + 2 + 5*a**2 = 0. Calculate a.
-1
Let s(r) be the second derivative of -r**6/1800 - r**5/300 - r**4/120 + r**3/6 - r. Let i(n) be the second derivative of s(n). Factor i(p).
-(p + 1)**2/5
Let z(b) be the third derivative of 0*b**3 + 0 + 0*b**5 - 1/480*b**6 + 0*b**4 + 0*b - b**2. Factor z(u).
-u**3/4
Let k(f) = -57*f**3 - 9*f. Let b(t) = 7*t**3 + t. Let i(r) = 33*b(r) + 4*k(r). Factor i(s).
3*s*(s - 1)*(s + 1)
Let y(c) = c - 1. Let w be y(3). Suppose z = w*z. Find i such that 2/7 - 2/7*i**2 + z*i = 0.
-1, 1
Let t be ((-3)/(-4))/(-4 + 33/6). Find o, given that t + 1/4*o**2 - 3/4*o = 0.
1, 2
Factor 8/5 + 2/5*k**2 + 8/5*k.
2*(k + 2)**2/5
Let r(g) = -6*g**5 + 5*g**4 - 3*g**3 - 5*g**2 - 6*g. Let z(f) = 5*f**5 - 4*f**4 + 2*f**3 + 4*f**2 + 5*f. Let m(i) = 4*r(i) + 5*z(i). Factor m(d).
d*(d - 1)**2*(d + 1)**2
Let a(l) be the first derivative of -l**6/1080 - l**5/360 + l**4/36 + l**3/3 + 4. Let f(n) be the third derivative of a(n). Factor f(w).
-(w - 1)*(w + 2)/3
Let o(w) be the first derivative of -w**4/34 + 10*w**3/51 - 7*w**2/17 + 6*w/17 + 18. Factor o(a).
-2*(a - 3)*(a - 1)**2/17
Let t be (-25)/5 + (0 - -3). Let g be 0 - ((-4)/t + -5). Let 0*p + 2/5*p**g + 4/5*p**2 + 0 - 2/5*p**4 = 0. What is p?
-1, 0, 2
Let o(x) = -3*x**2 + 15*x + 5. Let i be o(5). Find a such that -2/7*a**2 + 1/7*a**4 + 1/7*a**i - 2/7*a**3 + 1/7 + 1/7*a = 0.
-1, 1
Let r(b) be the second derivative of 0*b**4 + 0*b**3 + 5*b + 0 - 1/110*b**5 + 0*b**2. Solve r(i) = 0 for i.
0
Let z(h) be the first derivative of h**4/8 + h**3/3 - h**2/4 - h + 6. Solve z(v) = 0.
-2, -1, 1
Let b(j) be the second derivative of 49*j**4/6 - 28*j**3/3 + 4*j**2 + 8*j. Suppose b(t) = 0. What is t?
2/7
Let g(l) be the first derivative of -l**7/2100 - l**6/450 - l**5/300 - 2*l**3 + 5. Let h(f) be the third derivative of g(f). Suppose h(p) = 0. Calculate p.
-1, 0
Suppose 2/7*o**2 + 26/7*o**3 - 4/7*o**4 - 10/7*o + 2/7 - 16/7*o**5 = 0. Calculate o.
-1, 1/4, 1/2, 1
Let n(o) = -o**2 + 5*o - 9. Let j(c) = c**2 - c - 1. Let y(h) = -5*j(h) + n(h). Determine x, given that y(x) = 0.
2/3, 1
Let i = -4 - -8. Find u, given that 0*u**5 + u + 12*u**4 + 12*u**2 - 18*u**3 - 3*u**5 - i*u = 0.
0, 1
Solve -8*o - o**2 - o**2 - 2*o**2 = 0.
-2, 0
Factor 16/7 - 8/7*p + 1/7*p**2.
(p - 4)**2/7
Let p be 5 + -2 - 6/6. Factor 8*g**4 + 5*g**5 + 12*g**p + 18*g**3 + g - 2*g**5 + 4*g**4 + 2*g.
3*g*(g + 1)**4
Let a be (-1)/(-2) + 21/(-38). Let p = 24/95 + a. Factor 0 - p*n**4 - 3/5*n**3 + 0*n - 2/5*n**2.
-n**2*(n + 1)*(n + 2)/5
Let b(c) be the second derivative of c**6/50 + 3*c**5/50 + c**4/20 - 3*c. Factor b(p).
3*p**2*(p + 1)**2/5
Let k(y) be the third derivative of -y**9/272160 - y**8/45360 - y**7/22680 + y**5/15 - y**2. Let i(j) be the third derivative of k(j). Factor i(o).
-2*o*(o + 1)**2/9
Let f = 1168/171 - 96/19. Solve 2/9*c**3 + 0 + 10/9*c**5 + 4/9*c**2 + 0*c - f*c**4 = 0.
-2/5, 0, 1
Suppose 2/3*q + 4/9 + 2/9*q**2 = 0. What is q?
-2, -1
Let v be -6*-4*1/(-3). Let f be (-4)/(-6) + v/12. Factor -2/9*s**3 + f*s**2 + 0 + 0*s.
-2*s**3/9
Let c be (-3)/(3/2) - -2. Let y(v) be the third derivative of c - 1/12*v**4 + 0*v - 1/60*v**5 - 1/6*v**3 - v**2. Determine f so that y(f) = 0.
-1
Suppose -2/3*b**3 - 2/3*b**2 - 2 + 10/3*b = 0. What is b?
-3, 1
Let k = -3 + 5. Factor 1 + k*l**2 + 5 + 2 + 2*l + 6*l.
2*(l + 2)**2
Let v(z) be the second derivative of -1/5*z**2 + 3*z - 1/30*z**4 - 2/15*z**3 + 0. Suppose v(d) = 0. What is d?
-1
Factor w**3 - 2*w - 3*w + 4*w**3.
5*w*(w - 1)*(w + 1)
Let a(j) = j**2 - 7*j + 8. Let t be a(6). Let g be (-4)/6 + 4/t. Factor g*b - 2/3 + 2*b**2.
2*(b + 1)*(3*b - 1)/3
Let z(i) be the third derivative of -2*i**2 + 1/108*i**4 + 0*i - 1/270*i**5 + 0 + 2/27*i**3. Factor z(u).
-2*(u - 2)*(u + 1)/9
Let t = -276/5 - -166/3. Let i(j) be the first derivative of 1 + 4/5*j - t*j**3 + 1/5*j**2. Factor i(p).
-2*(p - 2)*(p + 1)/5
Suppose 2*k + 3*w = 11 + 12, 5*k - 38 = -w. Let j = k - 3. Determine n, given that -1/4*n**5 - 7/2*n**3 - 3/2*n**4 - 1/2 - 9/4*n - j*n**2 = 0.
-2, -1
Suppose 4/7*l - 6/7 + 2/7*l**2 = 0. What is l?
-3, 1
Let t(n) be the first derivative of -n**6/60 + 3*n**5/20 - n**4/2 + 2*n**3/3 + 3*n**2 + 9. Let r(u) be the second derivative of t(u). Factor r(z).
-(z - 2)**2*(2*z - 1)
Determine k so that -2/5*k**3 + 4/5*k**2 + 2/5*k - 4/5 = 0.
-1, 1, 2
Suppose 102*o**2 - 207*o**2 + 6 + 106*o**2 + 5*o = 0. Calculate o.
-3, -2
Let q(r) be the second derivative of r**4/54 - 2*r**3/27 + 2*r. Factor q(a).
2*a*(a - 2)/9
Let b(x) be the third derivative of 6*x**6/5 + 13*x**5/5 + 2*x**4/3 - 8*x**3/3 + 14*x**2. Factor b(a).
4*(3*a + 2)**2*(4*a - 1)
Let n(c) = 3*c**4 - 4*c**3 - 7*c**2. Let w(h) = -h**3 - h**2. Let u(a) = -n(a) + 6*w(a). Determine g, given that u(g) = 0.
-1, 0, 1/3
Suppose -3*t = t - 8. Let x be ((-6)/t - -4)*5. Let -4*w**3 + 0*w**3 + 2*w**3 + 4*w**4 - 2*w**x = 0. What is w?
0, 1
Factor 2*t**3 - t**2 - t**2 + 4*t**2.
2*t**2*(t + 1)
Solve 0*v**3 + 15*v**2 - 15*v**4 - 3*v**3 + 5*v**5 - 2*v**3 = 0.
-1, 0, 1, 3
Factor 2/3*u + 0*u**2 - 1/3*u**4 - 2/3*u**3 + 1/3.
-(u - 1)*(u + 1)**3/3
Let a be 2/(-4) + 4 + 2/(-4). Let r(m) be the second derivative of 1/8*m**5 + 0 + 7/12*m**a - 4*m - 1/4*m**2 - 11/24*m**4. Factor r(l).
(l - 1)**2*(5*l - 1)/2
Factor -294/11*l**2 - 2401/11 + 1372/11*l + 28/11*l**3 - 1/11*l**4.
-(l - 7)**4/11
Factor -1/4*l**3 + 0 - l - 5/4*l**2.
-l*(l + 1)*(l + 4)/4
Factor -7/3 + 8/3*f + 4*f**2.
(2*f - 1)*(6*f + 7)/3
Let r(a) be the first derivative of a**6/300 + a**5/50 + a**4/30 - 2*a**2 - 4. Let t(z) be the second derivative of r(z). Factor t(f).
2*f*(f + 1)*(f + 2)/5
Let u = -5 + 7. Suppose -3*v - 2*v = -10. What is p in -2 - 2*p**2 - p**v + 3*p**u + 2*p**4 + 4*p**3 - 4*p = 0?
-1, 1
Let x(f) = f**3 + 12*f**2 + 12*f + 11. Let t be (-672)/60 - (-2)/10. Let c be x(t). Let 10/3*a**4 + 0 + c*a**2 - 4/3*a**3 + 0*a = 0. Calculate a.
0, 2/5
Factor -12/5 - 4/5*u**3 - 28/5*u - 4*u**2.
-4*(u + 1)**2*(u + 3)/5
Let k be 0/((-40)/18 - (-6)/27). Let 4/13*v**4 + 2/13*v**3 + 0*v**2 + 2/13*v**5 + k*v + 0 = 0. What is v?
-1, 0
Let p = -6279739 - -22833131821/3636. L