9. Factor 0*x**3 + q + 4*x**2 - 6*x - 2*x**3 + 2*x**r.
-2*(x - 1)**3
Let b(p) be the second derivative of p**7/11340 + p**6/1620 + p**5/540 - p**4/12 + 3*p. Let z(j) be the third derivative of b(j). Factor z(g).
2*(g + 1)**2/9
Let a(q) be the third derivative of q**6/40 + q**5/10 + q**4/8 + 4*q**2. What is v in a(v) = 0?
-1, 0
Suppose -d + 3 = 1. Let l = 4 - d. Let -4*r**2 + 3*r**2 + 5*r**l + 6*r + 2*r**3 + 2 + 2*r**2 = 0. What is r?
-1
Let k be (5 + -4)*2/70. Let f(p) be the second derivative of -1/14*p**5 - k*p**6 + 0*p**3 + 0*p**2 - 1/21*p**4 + 0 + p. Factor f(d).
-2*d**2*(d + 1)*(3*d + 2)/7
Let j(d) = d**3 + 5*d**2 - 7*d - 6. Let q = -7 + 1. Let g be j(q). Determine b, given that -9/2*b**2 + g + 7/2*b**3 + b = 0.
0, 2/7, 1
Let i(u) be the third derivative of -u**7/42 - u**6/12 + u**5/12 + 5*u**4/12 - 8*u**2. Factor i(y).
-5*y*(y - 1)*(y + 1)*(y + 2)
Let s(c) be the third derivative of c**8/3360 - c**7/840 + c**6/720 + c**3/2 - 5*c**2. Let x(p) be the first derivative of s(p). Factor x(m).
m**2*(m - 1)**2/2
Let p(q) be the second derivative of q**6/160 - q**4/32 - 5*q**2/2 - 4*q. Let v(y) be the first derivative of p(y). Find o, given that v(o) = 0.
-1, 0, 1
Let b be (-4)/6*(-9)/6. Let x = b - -1. Factor -4*p**3 + x*p**5 + p**3 + 2 - p**3 - 4*p**2 + 2*p + 2*p**4.
2*(p - 1)**2*(p + 1)**3
Let u(m) be the second derivative of -m**5/240 + 3*m**2/2 + m. Let f(c) be the first derivative of u(c). Suppose f(z) = 0. What is z?
0
Let i be (-2)/(-10) - 1938/(-85). Let z = -23 + i. Determine j, given that 0*j**3 + 0 - 2/5*j**2 + z*j + 2/5*j**4 = 0.
-1, 0, 1
Suppose 0 = 3*y + 2*f - 12, 0 = -0*f + f. Suppose 4/5 + 14/5*i + 2/5*i**2 - 14/5*i**3 - 6/5*i**y = 0. Calculate i.
-2, -1, -1/3, 1
Let m(v) be the second derivative of v**7/252 - v**6/180 - v**5/120 + v**4/72 - 3*v. Factor m(r).
r**2*(r - 1)**2*(r + 1)/6
Let l(h) be the second derivative of 0 + 1/10*h**5 - 2*h**2 - h**3 + 0*h**4 + h. Factor l(o).
2*(o - 2)*(o + 1)**2
Let u(o) be the second derivative of o**8/5040 - o**7/840 + o**6/360 - o**5/360 + 2*o**3/3 - 5*o. Let c(f) be the second derivative of u(f). Factor c(v).
v*(v - 1)**3/3
Suppose -10 = f - 24. Factor 0 + 2*g - 4*g**2 - f*g + 0.
-4*g*(g + 3)
Let u(g) be the first derivative of -2*g**5/45 + g**4/18 + 7. Solve u(p) = 0.
0, 1
Let c(y) be the first derivative of -y**6/6 + 6*y**5/5 - 11*y**4/4 + 2*y**3/3 + 6*y**2 - 8*y + 8. Suppose c(j) = 0. Calculate j.
-1, 1, 2
Find u such that 44*u**4 + 19*u**2 + 4 - 26*u + 145/2*u**3 + 8*u**5 = 0.
-2, 1/4
Let h be -8 + 10 - 0/1. Let g(l) be the first derivative of -h - 1/2*l**4 + 13/9*l**3 + 1/15*l**5 - 2*l**2 + 4/3*l. Factor g(d).
(d - 2)**2*(d - 1)**2/3
Let n(p) = -3*p**4 - p**2 + 2*p + 2. Let m(d) = -7*d**4 + d**3 - 2*d**2 + 5*d + 5. Let z(q) = 6*m(q) - 15*n(q). Determine y so that z(y) = 0.
-1, 0
Let l(d) be the third derivative of -d**7/150 - d**6/300 - 4*d**2. Find t, given that l(t) = 0.
-2/7, 0
Let h(w) be the second derivative of 2*w**7/21 - 2*w**6/5 + 2*w**5/5 - 8*w. Determine q, given that h(q) = 0.
0, 1, 2
Suppose -5*y + 45 = -15. Let n = y - 8. Let 0*c**2 + 2/3*c**n - 1/3*c**5 + 0*c + 0 - 1/3*c**3 = 0. Calculate c.
0, 1
Factor 0 - 3/7*i**3 + 4/7*i**2 + 0*i - 1/7*i**4.
-i**2*(i - 1)*(i + 4)/7
Let i = -141/4 + 635/18. Let l(v) be the third derivative of 0*v + 0 + 1/90*v**5 - 2*v**2 + i*v**4 + 0*v**3. Determine d, given that l(d) = 0.
-1, 0
Let a(v) be the third derivative of v**6/60 - v**4/4 + 2*v**3/3 - 3*v**2 + 11*v. Determine h so that a(h) = 0.
-2, 1
Solve 1/8*m + 1/8 - 1/8*m**2 - 1/8*m**3 = 0 for m.
-1, 1
Let f(v) be the third derivative of 0 - 3*v**2 + 1/78*v**4 + 0*v**3 + 1/390*v**5 + 0*v. Find s, given that f(s) = 0.
-2, 0
Suppose -8*o + 1 - 7 + 23*o - 3*o**2 - 6 = 0. Calculate o.
1, 4
Let w = 5 + -3. Suppose -5 = -5*b + 5*p, 6 = 4*b - w*p - 0*p. Let -b*n + 2 - 4 + 2*n**2 + 4*n**3 - 2*n**3 = 0. What is n?
-1, 1
Let h(v) = -v**3 - v**2 + v. Let l(n) = -2*n**3 + 4*n**2 - 6*n + 3. Let a = 2 + -4. Let j(y) = a*h(y) + 2*l(y). Solve j(r) = 0.
1, 3
Suppose -9 = -2*u - 1. Factor -u*j**3 + 0 + 16/7*j**2 + 8/7*j**4 + 16/7*j.
4*j*(j - 2)**2*(2*j + 1)/7
Let g be 24/11 + 34/(-187). Let t(v) be the first derivative of 0*v**g + 4 + 0*v - 1/3*v**3. Factor t(s).
-s**2
Suppose 19*a - 8 = 15*a. Factor 13*c + 9 - c**2 - 2*c**a + 5*c - 36.
-3*(c - 3)**2
Let i(a) be the first derivative of a**7/1260 - a**6/90 + a**5/15 - 2*a**4/9 - a**3 + 1. Let g(d) be the third derivative of i(d). Suppose g(s) = 0. What is s?
2
Let k(m) be the third derivative of -m**5/360 - m**4/24 - 5*m**3/36 - 3*m**2. Factor k(a).
-(a + 1)*(a + 5)/6
Let d(f) be the second derivative of -f**6/120 - f**5/40 + f**4/4 + f**3/3 - 2*f. Let t(i) be the second derivative of d(i). Suppose t(m) = 0. What is m?
-2, 1
Suppose i = -4*t + 17, -8*t + 30 = -3*t + 3*i. Let 5*d + 2*d - 7*d - 2*d**t = 0. What is d?
0
Let u(m) be the first derivative of 2/5*m**2 + 1/20*m**4 + 0*m - 4/15*m**3 + 3. Solve u(z) = 0.
0, 2
Let o be 3/(-2)*(35/(-42))/5. Determine p, given that 1/4*p - 1/4 - 1/4*p**3 + o*p**2 = 0.
-1, 1
Let z = 79 - 710/9. Let n(j) be the third derivative of 1/30*j**5 + 1/180*j**6 + 2*j**2 + 0 + 1/12*j**4 + z*j**3 + 0*j. Suppose n(g) = 0. What is g?
-1
Let y(d) = -d + 2. Let c = -5 - -7. Let u be y(c). Suppose 2/5*p**2 + 1/5*p + u + 1/5*p**3 = 0. Calculate p.
-1, 0
Let a(p) be the first derivative of -4*p**5/5 + p**4 + 4*p**3/3 - 2*p**2 - 6. Factor a(g).
-4*g*(g - 1)**2*(g + 1)
Let a(b) be the third derivative of 0*b**3 + 0 + b**2 + 1/720*b**6 - 1/180*b**5 + 1/144*b**4 + 0*b. Let a(p) = 0. What is p?
0, 1
What is h in -7*h**5 - 2*h**3 - 2*h**3 + 3*h**5 - 8*h**4 = 0?
-1, 0
Let l(t) be the third derivative of 1/180*t**6 + 0*t + 0*t**3 + 0 + 0*t**5 - 1/36*t**4 - 2*t**2. Solve l(s) = 0.
-1, 0, 1
Let a(k) be the first derivative of 6 + 0*k + 3/4*k**4 + 1/2*k**2 + 1/5*k**5 + k**3. Factor a(d).
d*(d + 1)**3
Factor 0*x**4 - 1/4*x**5 + 1/2*x**3 - 1/4*x + 0 + 0*x**2.
-x*(x - 1)**2*(x + 1)**2/4
Let b be ((-15)/6 - -3)/(1/4). Factor 1/5*u**5 + 2/5 - u + 2/5*u**b - 4/5*u**4 + 4/5*u**3.
(u - 2)*(u - 1)**3*(u + 1)/5
Let k(j) = -j**3 - 14*j**2 + j + 18. Let t be k(-14). Let u(v) be the first derivative of -1/15*v**5 - 3 + 0*v + 0*v**2 - 1/12*v**t + 0*v**3. Factor u(c).
-c**3*(c + 1)/3
Let h(a) be the third derivative of -a**9/20160 - a**8/1680 - a**7/420 - a**5/60 - a**2. Let l(t) be the third derivative of h(t). Solve l(d) = 0.
-2, 0
Let r(s) be the first derivative of s**3/9 - s**2/3 + s/3 - 2. Determine h so that r(h) = 0.
1
Factor 2*v**2 + 0 - 4*v + 10*v**2 + 0.
4*v*(3*v - 1)
Let v(o) = o**2 + 3*o + 10. Let u be v(-5). Let w = u + -39/2. Factor 0*c**2 + 1/2*c**3 + 1/4 - w*c - 1/4*c**4.
-(c - 1)**3*(c + 1)/4
Let f(a) be the first derivative of 98*a**5/15 + 35*a**4/18 - 32*a**3/27 - 4*a**2/9 - 11. Factor f(m).
2*m*(3*m - 1)*(7*m + 2)**2/9
Let w(b) be the first derivative of -b**6/36 - b**5/6 - 3*b**4/8 - 7*b**3/18 - b**2/6 - 1. Let w(a) = 0. Calculate a.
-2, -1, 0
Let j = 305 - 305. Factor j + 4/3*t + 1/3*t**3 - 4/3*t**2.
t*(t - 2)**2/3
Let k(h) = h**3 - 3*h**2 - 4*h + 2. Let w be k(4). Let n(c) be the first derivative of -1 - c**w + c**4 - 4/3*c**3 + 2/5*c**5 + 2*c - 1/3*c**6. Factor n(t).
-2*(t - 1)**3*(t + 1)**2
Suppose 3 = 3*v - 3. Factor 3*w**3 + 0*w**v + w - 2*w**2 - 2*w**3.
w*(w - 1)**2
Let f(w) be the second derivative of -w**7/12600 + w**6/1800 - w**5/600 - 7*w**4/12 - 2*w. Let r(s) be the third derivative of f(s). Factor r(x).
-(x - 1)**2/5
Let h = 2/15 - -8/15. Determine k so that h*k + 1/3*k**2 + 5/3*k**4 - 8/3*k**3 + 0 = 0.
-2/5, 0, 1
Suppose 3*l = 2*m - m + 1, 5*l - 67 = -3*m. Let y be ((-12)/(-14))/(2/m). Suppose 3*k**2 - y*k**2 + 2*k**2 = 0. Calculate k.
0
Let u = -223/3 - -75. Find h, given that 0*h**2 - 1/3*h + h**3 + 0 - u*h**4 = 0.
-1/2, 0, 1
Let a(q) be the third derivative of q**6/120 + q**5/60 + 8*q**2. Factor a(z).
z**2*(z + 1)
Let -1/3*w**2 + w + 0 = 0. Calculate w.
0, 3
Factor -3*l**4 + 2*l**2 - 13*l**5 - l - 2*l**3 - l + 5*l + 1 + 12*l**5.
-(l - 1)*(l + 1)**4
Suppose -5*y + 19 = -4*s - 1, 2*y - 8 = -2*s. Factor -2/5*v**5 + 2/5*v**y + 0*v + 0 - 2/5*v**2 + 2/5*v**3.
-2*v**2*(v - 1)**2*(v + 1)/5
Let x = 10 - 68/7. Factor -2/7 + 2/7*r**2 + x*r - 2/7*r**3.
-2*(r - 1)**2*(r + 1)/7
Let q(i) be the third derivative of -i**11/166320 + i**9/