**5 + 0 + j*q**4 + 3*q. Determine b, given that o(b) = 0.
-1/2, 1
Let g(t) be the third derivative of 0*t + 1/120*t**6 + 0 - 3*t**2 - 1/672*t**8 - 1/420*t**7 - 1/12*t**3 - 1/48*t**4 + 1/60*t**5. Factor g(j).
-(j - 1)**2*(j + 1)**3/2
Determine p so that 0*p - 1/6 + 1/6*p**2 = 0.
-1, 1
Let w be ((-20)/110)/((-1)/2). Determine a, given that -2/11*a**2 + w*a - 2/11 = 0.
1
Determine s, given that 12*s**4 - 10*s - 10*s**4 + 5*s**3 - 4 - 3*s**3 - 6*s**2 = 0.
-1, 2
What is g in -2/5*g + 2/5*g**2 - 4/5 = 0?
-1, 2
Suppose 0*w - 6 = -3*w. Let d(c) be the second derivative of 1/9*c**3 - 5/36*c**4 - 4/15*c**5 - c - 1/10*c**6 + 0 + 0*c**w. Factor d(p).
-p*(p + 1)**2*(9*p - 2)/3
Let o = 348 + -1034/3. Solve 26/9*z**4 - o*z**3 - 8/9*z**5 - 2/9*z + 0 + 14/9*z**2 = 0 for z.
0, 1/4, 1
Solve 0 - 3/2*x**2 + x + 1/2*x**3 = 0 for x.
0, 1, 2
Let h(x) = -x**3 - 8*x**2 + 3*x - 5. Let j(v) = 2*v - v**3 + 3 - 7*v**2 - 4 - 3 + 0*v**2. Let i(w) = -4*h(w) + 5*j(w). Determine a, given that i(a) = 0.
-2, -1, 0
Let v(w) be the second derivative of w**7/147 + w**6/105 - w**5/35 - w**4/21 + w**3/21 + w**2/7 - 4*w. Factor v(q).
2*(q - 1)**2*(q + 1)**3/7
Let p(x) be the first derivative of 1/6*x + 1/18*x**3 + 2 + 1/6*x**2. Factor p(u).
(u + 1)**2/6
Let f(u) be the second derivative of u**5/110 - u**3/11 + 2*u**2/11 + 2*u. Factor f(s).
2*(s - 1)**2*(s + 2)/11
Let o be 4/(-22) + (-78)/(-66). Let l(z) = -3*z + 3. Let h be l(o). Find b such that h + 1/2*b**3 - 1/2*b**2 - b = 0.
-1, 0, 2
Let o(g) = g**3 + g**2. Let c(s) be the third derivative of -s**6/60 - s**5/15 - s**4/24 + s**3/6 - 2*s**2. Let p(j) = 2*c(j) + 6*o(j). Factor p(b).
2*(b - 1)**2*(b + 1)
Let i(g) be the third derivative of g**6/90 - 7*g**5/135 + 5*g**4/54 - 2*g**3/27 + 10*g**2. Find o, given that i(o) = 0.
1/3, 1
Let z = 47/596 + 2/447. Let s(y) be the third derivative of 0 + 0*y + z*y**4 - 1/60*y**6 + y**2 + 1/30*y**5 + 0*y**3 - 1/105*y**7. Find a, given that s(a) = 0.
-1, 0, 1
Let m(o) be the first derivative of 0*o - 2/5*o**3 + 0*o**2 - 3/20*o**4 - 1. Find f such that m(f) = 0.
-2, 0
Let y = -41 - -43. Factor -2/5*g**4 + 2/5*g**y + 0 + 2/5*g**3 - 2/5*g.
-2*g*(g - 1)**2*(g + 1)/5
Let l = 29 - 85/3. Let s = 13 - 38/3. Factor l*v + s*v**2 + 0.
v*(v + 2)/3
Let d(c) be the third derivative of -c**9/60480 - c**8/20160 - c**5/20 - 6*c**2. Let g(r) be the third derivative of d(r). Suppose g(z) = 0. Calculate z.
-1, 0
Let t(x) = 13*x**5 + x**4 - 9*x**3 + 17*x**2 - 13*x. Let d = -4 - -6. Let g(b) = -3*b**5 + 2*b**3 - 4*b**2 + 3*b. Let h(m) = d*t(m) + 9*g(m). Factor h(w).
-w*(w - 1)**3*(w + 1)
Suppose 0*b + 7/6*b**5 + 11/6*b**3 + 8/3*b**4 + 0 + 1/3*b**2 = 0. What is b?
-1, -2/7, 0
Let z(y) be the third derivative of 2*y**2 + 0*y + 0*y**3 + 1/270*y**5 + 0 + 1/54*y**4. Factor z(t).
2*t*(t + 2)/9
Let c(f) = f**3 + 6*f**2 + 4*f - 4. Let m be c(-5). Suppose -z + 2 + m = 0. Let n**4 + 3*n**z - 3*n**3 - n**5 = 0. Calculate n.
0, 1
Suppose 3/11*h**2 - 4/11*h**3 + 4/11*h - 4/11*h**4 + 1/11 = 0. What is h?
-1, -1/2, 1
Let m = 65/402 + 1/201. What is h in -m - 1/3*h - 1/6*h**2 = 0?
-1
Suppose w - 3 = -h, 2*h - h - 3 = 2*w. Let l(r) be the second derivative of 5*r + 1/20*r**5 + w*r**2 + 0*r**3 + 0 - 1/12*r**4. What is o in l(o) = 0?
0, 1
Let z(h) be the second derivative of -h**5/60 - 7*h**4/120 - h**3/15 - h**2/2 - 3*h. Let b(y) be the first derivative of z(y). Suppose b(a) = 0. Calculate a.
-1, -2/5
Let w(b) be the third derivative of -b**5/12 - 5*b**4/4 - 15*b**3/2 + 2*b**2. Factor w(l).
-5*(l + 3)**2
Suppose 3*l - 15 + 0 = -c, -2*c + 10 = -4*l. Let 9*u**2 - u**3 + 3*u**3 + u**3 + 3 + c*u = 0. Calculate u.
-1
Let j(r) = r + 11. Let v be j(-9). Suppose -v*g = g. Find u such that -9/2*u**4 + 12*u**2 + 3/2*u**3 + 6*u + g = 0.
-1, -2/3, 0, 2
Factor 50*t**4 + 5*t**3 - 103*t**4 + 48*t**4.
-5*t**3*(t - 1)
Let w = -304 - -306. Let -1/8*l + 1/8*l**3 - 1/8 + 1/8*l**w = 0. Calculate l.
-1, 1
Let i(b) be the second derivative of 4/5*b**4 + 8*b + 128/5*b**2 + 0 - 32/5*b**3 - 1/25*b**5. Factor i(a).
-4*(a - 4)**3/5
Let o(h) be the second derivative of h**4/4 + 4*h**3 + 24*h**2 + 17*h. Factor o(k).
3*(k + 4)**2
Suppose 2*u = -2*u + 8. Factor 3 + 9*z + 7 - 15*z**u - 4.
-3*(z - 1)*(5*z + 2)
Let q(p) be the first derivative of p**4/2 + 8*p**3/3 + 5*p**2 + 4*p + 4. Determine z, given that q(z) = 0.
-2, -1
Factor -2/9*u + 0 - 4/9*u**2 - 2/9*u**3.
-2*u*(u + 1)**2/9
Suppose 4*i = -11*i. Let 1/2*n**3 + i*n**2 + 0*n + 0 = 0. Calculate n.
0
Let f(i) = -i**5 - 4*i**4 - i**3 - i + 1. Let q(a) = a**5 + a**3 - a + 1. Let s = 3 + -2. Let c(x) = s*f(x) - q(x). Let c(t) = 0. Calculate t.
-1, 0
Let t = -149 + 154. Let z = 226/7 + -32. Let -z*j**2 - 6/7*j**4 + 0*j + 0 - 2/7*j**t - 6/7*j**3 = 0. What is j?
-1, 0
Factor 14/3*b**3 + 0*b + 0 - 10/3*b**4 - 4/3*b**2.
-2*b**2*(b - 1)*(5*b - 2)/3
Let a(f) be the first derivative of -f**4/14 + 3*f**2/7 - 4*f/7 - 12. Let a(x) = 0. What is x?
-2, 1
Let -2/11*b**3 + 8/11 + 8/11*b - 2/11*b**2 = 0. Calculate b.
-2, -1, 2
Let q = 336 - 1000/3. Factor q*j**3 - 10*j**2 + 2 + 16/3*j.
2*(j - 3)*(j - 1)*(4*j + 1)/3
Factor 7*g**5 + 77*g**4 - 2*g**5 - 72*g**4.
5*g**4*(g + 1)
Let q(n) be the third derivative of 2/3*n**3 + 0 + 2*n**2 + 1/30*n**5 + 0*n + 1/4*n**4. Factor q(v).
2*(v + 1)*(v + 2)
Suppose -b - 5*k = -33, -5*k + 71 = b + b. Factor 14 + b*g**3 - 54*g**2 - 38 - 84*g + 43*g**3 + 81*g**4.
3*(g - 1)*(3*g + 2)**3
Let p(b) be the second derivative of -b**4/48 + b**3/24 + b**2/4 + 4*b + 3. Factor p(n).
-(n - 2)*(n + 1)/4
Suppose -3*n + 6*n = -15. Let h be n/(-3) - (-4)/12. Suppose 0*c**3 + 0*c**h + 0*c + 0 + 1/4*c**4 = 0. What is c?
0
Let v(g) = g**2 - 7*g + 6. Suppose -2*k - 2 + 10 = 0, 3*c + 3*k = 30. Let d be v(c). Factor -2 + q**2 + 1 - q + d + q**3.
(q - 1)*(q + 1)**2
Let v(a) = 9*a**3 + 2*a**2 + 7*a + 7. Let q(r) = -6*r**3 - r**2 - 5*r - 5. Let w(s) = -7*q(s) - 5*v(s). What is y in w(y) = 0?
-1, 0
Let w(l) = -2*l - 6. Let c be w(-4). Factor 5*g**3 - g**3 - g**2 + g + 6*g**c - 3*g - 3*g**4.
-g*(g - 2)*(g + 1)*(3*g - 1)
Let g(l) be the third derivative of l**5/12 - 5*l**4/24 - 9*l**2. Factor g(b).
5*b*(b - 1)
Let q(n) be the second derivative of -n**4/4 - 6*n**3 - 54*n**2 + n. Let q(h) = 0. What is h?
-6
Suppose -4*v = 3 - 23. Let f(m) be the second derivative of 1/80*m**v - 1/168*m**7 + 0*m**3 + 0*m**2 + 0 + 1/48*m**4 - 1/120*m**6 + m. Factor f(j).
-j**2*(j - 1)*(j + 1)**2/4
Let z = 36/65 - -24/13. Factor z*o - 2/5*o**2 - 18/5.
-2*(o - 3)**2/5
Let m(t) = -t. Let c(s) be the first derivative of -s**6/3 - 3*s**5/5 + s**4/4 + s**3 - 5*s**2/2 - 1. Let j(b) = -c(b) + 6*m(b). Factor j(x).
x*(x - 1)*(x + 1)**2*(2*x + 1)
Suppose 5*k - 3 = 7. Let p = 4 - k. Factor -c**p - 1 - 6*c - c + 5*c.
-(c + 1)**2
Let x(h) be the first derivative of 1/4*h**2 + 3/8*h**3 + 2 + 2*h + 5/16*h**4 + 11/80*h**5 + 1/40*h**6. Let b(a) be the first derivative of x(a). Factor b(v).
(v + 1)**3*(3*v + 2)/4
Let g(v) = 4*v**3 + v - 1. Let i be g(1). Factor -3*q**2 + 2*q**4 + 2 + i*q**2 - 5*q**2.
2*(q - 1)**2*(q + 1)**2
Let w(t) be the third derivative of -t**5/75 + t**4/5 - 2*t**3/3 + 32*t**2. Solve w(h) = 0.
1, 5
Let h(k) be the first derivative of 2/3*k**2 - 3 + 2/9*k**3 + 0*k. Factor h(j).
2*j*(j + 2)/3
Suppose 16*w - 4 = 14*w. Suppose m - w*m = 0. Find z, given that 4/9*z**2 + m - 2/9*z - 2/9*z**3 = 0.
0, 1
Suppose -j - j = 0. Suppose 4*w - 4*m = 8, j*w + 2 = -w + 3*m. Suppose -2 - 2*z**2 + 3 - 3*z**4 + 4*z**w = 0. What is z?
-1, 1
Let f be 2 - 116/(-60)*(-2 + 1). Let u(w) be the first derivative of -f*w**3 + 0*w + 0*w**2 - 3. Factor u(v).
-v**2/5
Let p(w) be the first derivative of -2*w**5/5 - 9*w**4/8 - w**3 - w**2/4 - 1. Factor p(r).
-r*(r + 1)**2*(4*r + 1)/2
Let y = 391/6 + -64. Let k = y + -5/6. Find a, given that k*a - 4/3*a**3 + 4/3*a**4 - 2*a**2 + a**5 + 2/3 = 0.
-1, 2/3, 1
Suppose 3*n + 14 = 2*w, 5*w = n + 4*n + 35. Let f = 7 - w. Suppose -1/2*y**2 + 1/2 + f*y = 0. What is y?
-1, 1
Let y(d) be the second derivative of d**5/4 - 5*d**4/2 + 25*d**3/6 - 48*d. Solve y(b) = 0.
0, 1, 5
Let x(i) be the first derivative of -i**4/14 + 6*i**3/7 - 27*i**2/7 + 54*i/7 - 3. Determine m, given that x(m) = 0.
3
Let a = 12 + -7. Factor z + a*z**2 - 6 + 2*z - 2*z**2.
3*(z - 1)*(z + 2)
Let x = 12 - 9. Let s(u) = -2*u**4 + 2*u**3 + u - 4. Let n(t) = 4*t**3 - 7 + 3*t + 3*t 