**6/720 + h**5/60 + 6*h**2. Let f(n) be the third derivative of x(n). Factor f(b).
-(b - 2)**2/4
Let q(f) be the second derivative of -f**5/240 - f**4/96 + f**2/2 + 5*f. Let k(w) be the first derivative of q(w). Solve k(z) = 0.
-1, 0
Let r = -1231/9 + 137. Factor -2/9*i**4 - r*i**3 + 0*i + 0 + 0*i**2.
-2*i**3*(i + 1)/9
Let y(a) be the third derivative of 2*a**7/21 - 7*a**6/24 - 7*a**5/6 - 5*a**4/8 - 3*a**2. Factor y(m).
5*m*(m - 3)*(m + 1)*(4*m + 1)
Let d = 32 - 68. Let v = d + 109/3. Factor -2/3*o + 1/3*o**2 + v.
(o - 1)**2/3
Factor -2/5*z**4 + 0 - 4/5*z**3 + 8/5*z**2 + 16/5*z.
-2*z*(z - 2)*(z + 2)**2/5
Factor -2*g**4 + 5*g**4 - 9*g**3 - 5*g**2 + 11*g**2.
3*g**2*(g - 2)*(g - 1)
Let o = -1 - -4. Solve -14*v**3 - 3*v**2 + 13*v**o - v + v**2 = 0.
-1, 0
Suppose -6*d = -10*d + 20. Suppose 2/9*y**4 - 4/9*y**2 + 2/9*y + 2/9 + 2/9*y**d - 4/9*y**3 = 0. Calculate y.
-1, 1
Let u(y) = -y**3 + 10*y**2 - 9*y - 5. Let a be u(9). Let z = a + 7. Factor -4/7*g - 2/7 - 2/7*g**z.
-2*(g + 1)**2/7
Let v(d) = 2*d**3 + d + 1. Let h(u) = 11*u**3 + 6*u**2 + 14*u + 9. Let i(t) = h(t) - 5*v(t). Factor i(q).
(q + 1)**2*(q + 4)
Let y be (-3 + 5)/(6/12). Factor 11/6*w**y + 0 - 3/2*w**3 + 1/6*w**2 + 1/6*w - 2/3*w**5.
-w*(w - 1)**3*(4*w + 1)/6
Let k = -9 - 1. Let t = -8 - k. Solve 1/4 + 1/4*l**t - 1/2*l = 0.
1
Solve 3*f - 4*f - 6*f - 4 + 4*f + f**2 = 0 for f.
-1, 4
Let g be (-6 - -5)*1*(-1 - 1). Let q(l) be the third derivative of 0*l**3 + 1/36*l**4 + 0*l + l**g + 0 - 1/180*l**5. Solve q(x) = 0.
0, 2
Solve 0 + 1/2*v + 1/6*v**2 = 0 for v.
-3, 0
Let l(w) be the second derivative of 3*w**4/8 - 43*w**3/12 - 5*w**2/2 - 3*w + 7. Determine a, given that l(a) = 0.
-2/9, 5
Let x(q) be the second derivative of -3/2*q**2 - 1/10*q**6 + 3/5*q**5 + 2*q**3 - 3/2*q**4 - 3*q + 0. Determine s so that x(s) = 0.
1
Determine k so that 10*k**2 - k**3 - 14*k**3 + 10*k**3 - 5*k = 0.
0, 1
Suppose 9 = 3*b - 3. Solve -4 + b + 2*y**2 + y + 3*y = 0 for y.
-2, 0
Let b(r) = r + 10. Let a be b(-10). Let z(x) be the first derivative of -1/2*x**4 + a*x - x**2 + 3 - 4/3*x**3. Let z(q) = 0. What is q?
-1, 0
Find p, given that 5/2*p - 5/2*p**2 + 5 = 0.
-1, 2
Let g(h) be the first derivative of -h - 2/3*h**2 - 2 - 1/9*h**3. Factor g(v).
-(v + 1)*(v + 3)/3
Factor n**2 + 4*n**4 + 4*n**5 + 4 - 4 + 2*n**3 - 11*n**4.
n**2*(n - 1)**2*(4*n + 1)
Factor 0 + 3/7*r**4 + 0*r**3 + 0*r - 1/7*r**5 + 0*r**2.
-r**4*(r - 3)/7
Let w(t) be the second derivative of -t**5/40 - t**4/4 - 3*t**3/4 - 3*t. Find i such that w(i) = 0.
-3, 0
Suppose -2*b = d - 4 + 2, -5*b - 3*d = -3. Factor 3*l**3 - l**b + 4*l**3 - 3*l**3 + 3*l**2.
3*l**2*(l + 1)
Let i(z) be the third derivative of z**8/1680 + z**7/210 + z**6/75 + z**5/75 + 24*z**2. Let i(t) = 0. What is t?
-2, -1, 0
Suppose 7*v = 5*v. Let l(w) be the third derivative of v + 0*w**3 + 2*w**2 - 1/24*w**4 - 1/60*w**5 + 0*w. Determine j, given that l(j) = 0.
-1, 0
Suppose 2*w + 2 = -n + 1, 4*n - 3*w = -4. Let u be (12/(-30))/(n/15). Solve 2*t + t**2 + 3*t**2 + 0*t**2 - u*t**2 = 0.
0, 1
What is f in 36 - 4*f**3 - 20*f**2 + 50*f - 62*f + 0*f**3 = 0?
-3, 1
Suppose -4 = 3*h + 2*j, 5*h = 5*j + 4 + 31. Suppose 0 = 4*f - 6*f + 6. Factor -2/7*c**5 + 0*c**4 + 4/7*c**f - 2/7*c + 0 + 0*c**h.
-2*c*(c - 1)**2*(c + 1)**2/7
Factor 61/3*g**3 - 28*g**2 + 12*g + 1/3*g**5 - 14/3*g**4 + 0.
g*(g - 6)**2*(g - 1)**2/3
Let o(l) be the third derivative of l**6/40 - l**5/20 - l**4/2 + 2*l**3 + 17*l**2. Suppose o(m) = 0. What is m?
-2, 1, 2
Let j(v) be the second derivative of -v**8/840 - v**7/210 + v**5/30 + v**4/12 - v**3/3 + 3*v. Let f(h) be the second derivative of j(h). What is l in f(l) = 0?
-1, 1
Let s(z) = -z + 4. Let i be s(2). Factor v**3 - i*v**5 + 0*v**3 + 2*v**4 + 3*v**5.
v**3*(v + 1)**2
Let l(z) = -3*z**4 - 6*z**3 + 3*z + 3. Let p(t) = 0*t + 3*t**2 + 4*t - 6*t**3 - 2 - 3*t**4 + 6 - 2*t**2. Let f(s) = 4*l(s) - 3*p(s). Factor f(v).
-3*v**2*(v + 1)**2
Let n(x) be the second derivative of x**5/30 + x**4/18 - 2*x**3/9 - 9*x. Factor n(v).
2*v*(v - 1)*(v + 2)/3
Let h(f) = f**3 - 4*f**2 - 4*f - 3. Let u be h(5). Let t be (-2)/9 - (-114)/27. Solve u*a**3 - 6*a**3 - 3*a**2 - 2*a**t + a**2 = 0.
-1, 0
Let m be (-24)/20*(20/(-8) - 0). Let v(i) be the second derivative of 0 + 5*i + 0*i**2 - 1/4*i**m - 1/8*i**4. Solve v(c) = 0.
-1, 0
Let o(h) be the second derivative of -1/12*h**4 + 0*h**2 + 1/6*h**3 + 0 + 1/30*h**6 - 1/20*h**5 + 3*h. Find a, given that o(a) = 0.
-1, 0, 1
Let l be (-54)/(-621) - (-44)/23. Solve -1/4*p**l + 3/4 - 1/2*p = 0.
-3, 1
Factor -v**2 - 12 + 5*v**2 - 3*v**2 - 9*v + 2*v**2.
3*(v - 4)*(v + 1)
Suppose b + 1 - 3 = 0. Suppose 4*g**4 - 3*g**2 + 0*g**5 + 10*g - g**b - 2*g**5 - 8*g = 0. Calculate g.
-1, 0, 1
Let h(o) = 2*o**2 + 2*o - 4. Let z(a) be the first derivative of -4*a**3/3 - 2*a**2 + 8*a + 2. Let w(c) = 5*h(c) + 2*z(c). Find g such that w(g) = 0.
-2, 1
Let y(z) be the second derivative of 1/50*z**5 + z + 0 - 1/2*z**2 - 1/60*z**4 + 0*z**3. Let c(p) be the first derivative of y(p). Factor c(o).
2*o*(3*o - 1)/5
Let o(b) be the first derivative of 1/90*b**6 + 3 + 0*b + 0*b**4 + 0*b**5 + 0*b**2 + b**3 - 1/420*b**7. Let w(v) be the third derivative of o(v). Factor w(u).
-2*u**2*(u - 2)
Suppose 30 = 5*k + q, 4*k - 25 = 3*k - 4*q. Suppose -3*m + 7 + k = 0. Factor 2/3*r**5 + 0 - 2/3*r**3 + 0*r + 2/3*r**m - 2/3*r**2.
2*r**2*(r - 1)*(r + 1)**2/3
Let c = -4 - -1. Let h be (c/(-2))/((-33)/(-4)). Factor h*q + 6/11*q**3 + 0 - 6/11*q**2 - 2/11*q**4.
-2*q*(q - 1)**3/11
Let s(q) be the third derivative of -q**10/25200 - q**9/8400 + q**7/4200 - q**4/12 - 4*q**2. Let w(j) be the second derivative of s(j). Factor w(a).
-3*a**2*(a + 1)**2*(2*a - 1)/5
Let j(z) be the first derivative of -1/20*z**4 + 1/10*z**2 + 1 + 1/5*z - 1/15*z**3. Factor j(r).
-(r - 1)*(r + 1)**2/5
Let c be 30/(-104) - (-27)/36. Determine m, given that -c*m**2 - 2/13 + 6/13*m + 2/13*m**3 = 0.
1
Let m be ((-21)/(-28))/((-20)/(-8) - 1). Factor 0 - 1/2*i**2 + m*i.
-i*(i - 1)/2
Suppose 4*k = 5*w + 6, 2*w - 5*w = -5*k + 14. Factor w*p**3 - 5*p**2 + 19*p - p - 10*p**2 + 3*p**2.
2*p*(p - 3)**2
Factor -4*c**3 - 2 + 3*c**2 + 0*c**3 + 6*c**3 - c**2 - 2*c.
2*(c - 1)*(c + 1)**2
Let f be (6/45)/(5 - 72/15). Factor -f + 1/3*n**2 + 1/3*n.
(n - 1)*(n + 2)/3
Factor 1/2*m**3 + 1/2 - 3/4*m - 3/4*m**2.
(m - 2)*(m + 1)*(2*m - 1)/4
Suppose 0 = -5*j + 8*j - 6. Factor 4*o + o**2 + 0*o + 7*o**j - o**3 + 5*o**3.
4*o*(o + 1)**2
Let u(v) be the second derivative of 0 + 1/40*v**6 - 1/2*v**3 + 3*v + 0*v**4 + 9/80*v**5 + 0*v**2. Factor u(q).
3*q*(q - 1)*(q + 2)**2/4
Let k(c) be the second derivative of 1/3*c**2 - 1/30*c**5 + 1/9*c**3 + 0 + 3*c - 1/18*c**4. Let k(f) = 0. What is f?
-1, 1
Let v(u) be the third derivative of 11*u**5/12 - 5*u**4/12 + 4*u**2. Factor v(y).
5*y*(11*y - 2)
Let o = -34 + 380/11. Suppose 4/11 - o*k + 2/11*k**2 = 0. Calculate k.
1, 2
Let k(d) be the second derivative of -7*d**5/20 + d**4/3 - d**3/2 + d**2/2 + d. Let h(q) = -q**3 - q + 1. Let m(v) = -5*h(v) + k(v). Find r such that m(r) = 0.
-1, 1, 2
Factor -1/6*z + 1/6*z**2 + 0.
z*(z - 1)/6
Let f be ((-2 - -3)/2)/(5/20). Let z(y) be the third derivative of 0 + 0*y**4 + 1/8*y**3 - 1/80*y**5 + 0*y - 3*y**f. Factor z(d).
-3*(d - 1)*(d + 1)/4
Factor -1/6*i**2 + 1/6 + 1/6*i - 1/6*i**3.
-(i - 1)*(i + 1)**2/6
Factor 0 - 2/19*p**2 + 6/19*p.
-2*p*(p - 3)/19
Let i(s) be the first derivative of 1/3*s**2 + s - 2 - 1/45*s**6 + 0*s**4 + 1/15*s**5 - 2/9*s**3. Let j(b) be the first derivative of i(b). Factor j(c).
-2*(c - 1)**3*(c + 1)/3
Let v = 171 - 167. Let x be -4 - -2 - 12/(-5). Determine c, given that x*c**2 - 2/5*c**3 + 1/5 + 3/5*c - 1/5*c**5 - 3/5*c**v = 0.
-1, 1
Let l be ((-2)/(-1))/(-2) + 43/43. Factor -2/11*s**5 - 2/11*s + 4/11*s**3 + 0*s**2 + 0 + l*s**4.
-2*s*(s - 1)**2*(s + 1)**2/11
Let u(k) be the first derivative of -2*k**2 + k**4 + 4/5*k**5 - 9 + 8*k - 4*k**3. Find j, given that u(j) = 0.
-2, -1, 1
Suppose -12*q = q. Factor 0 + 2/3*b**4 + q*b + 2/3*b**2 - 4/3*b**3.
2*b**2*(b - 1)**2/3
Let v = -2/25 - -7/25. Suppose 0 - 1/5*o - v*o**3 + 2/5*o**2 = 0. Calculate o.
0, 1
Let m(d) be the third derivative of 0*d**3 - 1/150*d**5 + 0*d**4 + 1/600*d**6 + 1/1050*d**7 - 2*d**2 + 0*d + 0. Factor m(o).
o**2*(o - 1)*(o + 2)/5
Let c(q) be the first derivative of -1/3*q**3 + 0*q**2 - 1 + 1/2*q + 1/10*q**5 + 0*q**4. Dete