/6 - 8*d**2. Solve i(k) = 0.
-1, 1
Let s(l) be the second derivative of l**8/23520 - l**7/8820 - l**4/6 + 6*l. Let z(p) be the third derivative of s(p). Factor z(m).
2*m**2*(m - 1)/7
Factor -4/7 + 0*o + 4/7*o**2.
4*(o - 1)*(o + 1)/7
Let u(f) be the first derivative of f**3 - 3*f**2 + 7. Find z such that u(z) = 0.
0, 2
Let j = -81 - -406/5. Let h(k) be the first derivative of 3/20*k**4 + 0*k**2 - j*k**3 + 0*k + 1. Factor h(t).
3*t**2*(t - 1)/5
Let -3*f - 21 + 36*f + 3*f**2 - 15 = 0. Calculate f.
-12, 1
Let h be (-1 + -2)/((-3)/11). Suppose 3*i = -4*r - 0*i + 25, 5*i - h = r. Factor -2/5*l**5 + 0 + 0*l**2 + 4/5*l**3 + 0*l**r - 2/5*l.
-2*l*(l - 1)**2*(l + 1)**2/5
Let d = 0 + 2. Determine w so that -3*w**2 + d*w**3 + 3*w**2 = 0.
0
Let h be -2 + 24/10 - 426/1080. Let m(q) be the third derivative of 0*q - 1/18*q**3 + 0 + 3*q**2 - 1/72*q**4 + 1/360*q**6 + h*q**5. Factor m(x).
(x - 1)*(x + 1)**2/3
Let v(z) = z**3 + 5*z**2 - 3*z - 12. Let k be v(-5). Factor 3*y**5 + 27*y**3 + 3*y**4 - 27*y**k - 6*y**5.
-3*y**4*(y - 1)
Let z(b) be the third derivative of -b**6/270 - 2*b**5/135 + b**4/54 + 4*b**3/27 - 19*b**2. Suppose z(p) = 0. Calculate p.
-2, -1, 1
Determine o so that 4/9 - 2/3*o - 4/9*o**2 = 0.
-2, 1/2
Solve -12/7 - 46/7*x - 2*x**2 = 0 for x.
-3, -2/7
Suppose 1259 = -7*j + 440. Let d = -583/5 - j. Determine i so that d*i**2 + 0 + 0*i = 0.
0
Let s(u) be the third derivative of 1/600*u**6 + 1/15*u**4 + 1/60*u**5 + 0*u + 0 - 4*u**2 + 2/15*u**3. Let s(b) = 0. Calculate b.
-2, -1
Suppose 17*t - 2 = 16*t. Let o(s) be the first derivative of -8/9*s + t + 4/9*s**2 - 2/27*s**3. Determine y so that o(y) = 0.
2
Let h(l) be the third derivative of -l**6/24 - l**5/2 - 5*l**4/2 - 20*l**3/3 + 35*l**2. Solve h(c) = 0.
-2
Let l(h) = -h**3 + h. Let r(c) = -30*c**3 + 35*c**2 - 6*c + 1. Let s(z) = -15*l(z) + 3*r(z). Find p such that s(p) = 0.
1/5, 1
Suppose 2*j - 17 = 3*j. Let f = j - -35/2. Factor -1/4*z**3 - 5/4*z + f + z**2.
-(z - 2)*(z - 1)**2/4
Let v(f) = -f + 1. Let r be v(-4). Factor -3*n**2 - 2*n**3 + 2*n**r + 4*n**4 - n**2 + 8 - 8.
2*n**2*(n - 1)*(n + 1)*(n + 2)
Let m(o) be the third derivative of 0*o**4 - 1/180*o**6 + 5*o**2 + 1/1512*o**8 - 1/135*o**5 + 0*o**7 + 0*o + 0*o**3 + 0. Suppose m(x) = 0. Calculate x.
-1, 0, 2
Factor x - 9*x - 3*x**3 - x**4 - 3*x**2 + 4*x**4 + 11*x.
3*x*(x - 1)**2*(x + 1)
Let i(j) be the third derivative of j**8/168 + j**7/35 + j**6/20 + j**5/30 + 23*j**2. Determine o, given that i(o) = 0.
-1, 0
Let x be 2 - -7*5/(-25). Let 0 - x*y + 3/5*y**2 = 0. What is y?
0, 1
Let j(c) be the third derivative of 0 + 0*c - 1/45*c**5 + 7*c**2 - 1/36*c**4 + 1/504*c**8 + 2/315*c**7 + 0*c**3 + 0*c**6. Find w such that j(w) = 0.
-1, 0, 1
Suppose 0 = 2*a + 5*i + 14, -4*a - a + 11 = i. Suppose -15 = -4*m + 3*o, -2*o - 7 - a = 4*m. Factor 0*g + 1/2*g**4 + 0 + m*g**3 + 0*g**2.
g**4/2
Let g(v) be the second derivative of -v**7/168 - v**6/120 + 4*v. Factor g(u).
-u**4*(u + 1)/4
Let p(j) be the second derivative of -j**2 - 1/20*j**5 + 4*j + 0 + 1/6*j**3 + 1/6*j**4. Let p(u) = 0. What is u?
-1, 1, 2
Suppose -2*f + 4*f - 80 = 0. Let i be -2*(3 + (-132)/f). Factor 1/5 + i*b + 3/5*b**2 + 1/5*b**3.
(b + 1)**3/5
Let a(g) be the second derivative of g**6/6 - 3*g**5/4 + 5*g**4/4 - 5*g**3/6 + 22*g. Let a(f) = 0. What is f?
0, 1
Let y(w) = w**4 - 16*w**3 + 61*w**2 + 54*w - 174. Let i(k) = -15*k**4 + 225*k**3 - 855*k**2 - 755*k + 2435. Let b(s) = -6*i(s) - 85*y(s). Factor b(j).
5*(j - 2)**2*(j + 3)**2
Let y(b) = -3*b**5 + 6*b**2 - 3*b + 6. Let h(l) = -3*l**5 + 11 - 2*l**5 - 6*l - 65*l**2 + 77*l**2 - l**4. Let a(z) = -6*h(z) + 11*y(z). Factor a(o).
-3*o*(o - 1)**3*(o + 1)
Let o = 16 + -8. Factor 12*m**3 - o*m + 5*m**4 - 4*m**2 + 3*m**4 + 5*m - 9*m - 4.
4*(m - 1)*(m + 1)**2*(2*m + 1)
Suppose -2*m - 2 = -2*j + 6, 12 = -3*m. Factor -f**2 - 3*f**3 + 2*f**3 + 2*f + 0*f + j*f.
-f*(f - 1)*(f + 2)
Let c(r) be the second derivative of -1/6*r**3 + 0*r**2 - 1/12*r**4 - 3*r + 0. Factor c(i).
-i*(i + 1)
Let u(z) be the first derivative of -z**3/3 - 3*z**2 - 9*z + 4. Solve u(b) = 0.
-3
Let n(p) be the third derivative of 3*p**2 + 0 + 1/60*p**5 - 1/3*p**3 - 1/24*p**4 + 0*p. Factor n(y).
(y - 2)*(y + 1)
Let o(i) = i**3 - i**2 + 4. Let x be o(0). Find p, given that 2*p**2 + p**3 - 6*p**5 - 26*p**2 + 3*p**3 - 16*p + 14*p**x + 8*p**3 = 0.
-1, -2/3, 0, 2
Let t = 215756/7 + -31007. Let n = 185 + t. Solve -n - 6/7*d**2 - 2/7*d**3 - 6/7*d = 0.
-1
Let q(y) be the first derivative of -1/12*y**4 - 1/10*y**5 - 1/30*y**6 + 0*y**3 - 2*y + 0*y**2 + 2. Let u(i) be the first derivative of q(i). Factor u(m).
-m**2*(m + 1)**2
Let h(d) be the second derivative of d**6/30 - d**5/10 + d**3/3 - d**2/2 - 4*d. Factor h(o).
(o - 1)**3*(o + 1)
Suppose 0*w + 0*w - w = 0. Suppose 2/7*v**2 - 1/7*v + w - 1/7*v**3 = 0. Calculate v.
0, 1
Let c(d) be the first derivative of -3*d**4/5 + 13*d**3/5 - 33*d**2/10 + 6*d/5 + 19. Factor c(u).
-3*(u - 2)*(u - 1)*(4*u - 1)/5
Suppose -2*i**3 + 6/11 + 8/11*i**4 - 14/11*i**2 + 2*i = 0. Calculate i.
-1, -1/4, 1, 3
Let h(u) be the third derivative of 5*u**5/4 - 5*u**4/2 + 2*u**3 - u**2. Factor h(t).
3*(5*t - 2)**2
Let k(s) be the first derivative of -s**5/30 - s**4/6 + 2*s**2 + 4. Let x(w) be the second derivative of k(w). Factor x(z).
-2*z*(z + 2)
Let v(y) be the first derivative of 0*y + 6 - 1/2*y**3 - 9/4*y**2. Suppose v(a) = 0. Calculate a.
-3, 0
Let z(v) = -v**3 - v**2 + 1. Let m(b) = -b**4 + 7*b**3 + 8*b**2 - 7. Suppose 4*y = -2*u + 5*y + 6, 2*u = -y + 6. Let g(s) = u*m(s) + 21*z(s). Factor g(j).
-3*j**2*(j - 1)*(j + 1)
Let v(q) be the third derivative of q**7/735 - q**6/60 + q**5/14 - 13*q**4/84 + 4*q**3/21 + 41*q**2. Factor v(s).
2*(s - 4)*(s - 1)**3/7
Let t(b) be the second derivative of -2*b**6/15 + 2*b**5/5 - b**4/3 - b. Factor t(k).
-4*k**2*(k - 1)**2
Suppose -3*j = 4*i - 59, 5*i - j + 4*j - 73 = 0. Let g = i + -10. Factor -4*n - 2*n**3 + 1 - 4*n**g - n + 7*n**3 + 3*n**2.
-(n - 1)**2*(n + 1)*(4*n - 1)
Let j be -2 - (2 + -8 + 0). Let w be j/(-6) - 8/(-3). Factor 0*v**2 + 0*v**w - 2*v**2.
-2*v**2
Let i(m) be the first derivative of m**4/30 - 2*m**3/45 - m**2/15 + 2*m/15 + 1. Factor i(n).
2*(n - 1)**2*(n + 1)/15
Suppose 15 - 15 = 29*u. Suppose u*f - 2/13*f**3 + 0*f**4 + 2/13*f**5 + 0 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Suppose p = -2*v + 2, 3*v - 7 + 4 = -2*p. Find g such that v + 1/4*g**2 + g = 0.
-2
Suppose 0 + 4/7*v - 5/7*v**2 + 1/7*v**3 = 0. Calculate v.
0, 1, 4
Let a(m) be the first derivative of -m**5/90 + m**3/27 + 2*m - 1. Let j(d) be the first derivative of a(d). Factor j(b).
-2*b*(b - 1)*(b + 1)/9
Let d(c) be the first derivative of 4*c**3/3 + 2*c**2 - 8*c + 9. Let d(o) = 0. What is o?
-2, 1
Suppose -3*t = k + 2 - 3, 3 = -3*t - 3*k. Factor 0*v + 9 - t - 3*v - 3*v**2 - 2.
-3*(v - 1)*(v + 2)
Let p(i) be the first derivative of i**2/2 + 8*i - 5. Let c be p(-4). Factor -3/5*v**2 - 2/5 - v + 1/5*v**c + 1/5*v**3.
(v - 2)*(v + 1)**3/5
Factor -6/5*w**2 - 3/5*w**3 + 0*w + 0.
-3*w**2*(w + 2)/5
Suppose 5*q - 2*j = j + 36, -48 = -5*q - j. Let u(c) = -c**2 + 8*c + 11. Let l be u(q). Factor -1 + 0 + 2*o**l - 1 - 2*o**3 + 2*o.
-2*(o - 1)**2*(o + 1)
Suppose 0*a = -3*a + 15. Let h(r) be the first derivative of 0*r - 1 + 1/3*r**2 + 2/9*r**3 - 1/6*r**4 - 2/15*r**a. Factor h(m).
-2*m*(m - 1)*(m + 1)**2/3
Let d(p) be the second derivative of p**9/3024 - p**8/840 - p**7/840 + p**6/180 - p**3/6 - 2*p. Let y(s) be the second derivative of d(s). Factor y(n).
n**2*(n - 2)*(n - 1)*(n + 1)
Factor -7*z + 11*z + 6*z**2 - 3*z.
z*(6*z + 1)
Factor 2*a**4 - 3*a**4 - 8*a**2 + 12*a**3 - a**4 - 2*a**4.
-4*a**2*(a - 2)*(a - 1)
Let j(m) = -2*m**2 + 7*m - 5. Let y be j(1). Find d such that 0*d + 2/11*d**3 + y*d**2 + 0 = 0.
0
Let i(m) be the first derivative of -4*m**3/15 + 2*m**2/5 + 7. Factor i(f).
-4*f*(f - 1)/5
Let d(r) be the second derivative of 7*r**5/50 - 2*r**4/5 + r**3/5 + 2*r**2/5 - 8*r. Suppose d(k) = 0. Calculate k.
-2/7, 1
Suppose -s = 4*s + 2*l - 25, -4*s - 2*l = -18. Factor -s*y**2 + 11/3*y - 2/3 - 5/3*y**4 + 17/3*y**3.
-(y - 1)**3*(5*y - 2)/3
Let g(c) = -2*c - 22. Let w be g(-11). Let 0*l + 1/4*l**4 - 1/2*l**3 + w + 1/4*l**2 = 0. Calculate l.
0, 1
Let h(d) be the third derivative of -d**5/30 + d**4/6 - d**3/3 - 8*d**2. Solve h(z) = 0 for z.
1
Factor -5/3*l**5 - 2/3*l + 17/3*l**4 + 0 + 1