a - 1)**3
Let c(p) be the third derivative of p**8/80640 - p**6/720 + p**5/20 + 6*p**2. Let o(a) be the third derivative of c(a). Factor o(m).
(m - 2)*(m + 2)/4
Let u(p) = -5*p**2 - p - 3*p - p - 2 - 23*p**3 + 22*p**3. Let f be u(-4). Solve 0*x**f - x**3 - 1/2*x**4 + x + 1/2 = 0.
-1, 1
Let c(p) be the second derivative of -p**4/42 + p**3/7 + 18*p. Determine i, given that c(i) = 0.
0, 3
Let m(i) = -3*i + 41. Let x be m(13). Suppose 3/4*q**4 + 0 + 0*q**3 + 0*q + 0*q**x - 9/4*q**5 = 0. Calculate q.
0, 1/3
Let b(p) = p + 2. Let g be b(2). Let x be (-8)/(3*g/(-6)). Factor -i**4 + 3*i**4 - 2*i**4 + i**x.
i**4
Let a = -5 + 6. Factor -17*h + 2*h**4 - h**3 + 33*h + a - 3*h**2 - 15*h.
(h - 1)**2*(h + 1)*(2*h + 1)
Let i(n) be the second derivative of n**4/72 + 11*n**3/18 + 121*n**2/12 - 30*n. Let i(d) = 0. Calculate d.
-11
Let f = -13/16 + 193/80. Solve -8/5*z - 2/5*z**2 - f = 0 for z.
-2
Let l(x) be the second derivative of -1/30*x**5 + 0*x**3 - 1/2*x**2 + 3*x - 1/24*x**4 - 1/120*x**6 + 0. Let i(s) be the first derivative of l(s). Factor i(p).
-p*(p + 1)**2
Factor -2*b**2 - 32*b**4 - 48*b**3 + 52*b + 10*b**2 + 23*b**5 - 27*b**5 + 24.
-4*(b - 1)*(b + 1)**3*(b + 6)
Let g(r) be the third derivative of r**9/241920 - r**7/6720 + r**6/1440 - r**5/60 + 5*r**2. Let q(s) be the third derivative of g(s). Factor q(z).
(z - 1)**2*(z + 2)/4
Let w(q) = 2*q**4 + 11*q**3 - 9. Suppose 0*k = -k + 2. Suppose k*s = -13 - 5. Let f(t) = -t**4 - 5*t**3 + 4. Let l(u) = s*f(u) - 4*w(u). Factor l(v).
v**3*(v + 1)
Let h(c) = -c + 11. Let x be h(8). Let u(i) be the second derivative of -i**2 + 0 - 2/3*i**3 - x*i - 1/6*i**4. Factor u(d).
-2*(d + 1)**2
Let j(c) be the third derivative of -c**6/30 + 2*c**5/15 - c**4/6 - 5*c**2. Determine p so that j(p) = 0.
0, 1
Let c = 0 + 8. Find b such that 0*b - 2*b**2 - c*b - 18 - 5*b + b = 0.
-3
Let t(q) be the second derivative of -q**4/15 - 4*q**3/3 - 10*q**2 + 8*q. Solve t(u) = 0.
-5
Let t(m) be the second derivative of m**5/20 - 2*m**4/3 - 3*m**3/2 + m**2 + 2*m. Let c be t(9). Factor -2*a**4 + 13*a**2 + 6*a**3 + 12*a + 2 + 0 + c + 3*a**4.
(a + 1)**2*(a + 2)**2
Let s(q) = -q**3 - q**2 + 4. Let f be s(0). Suppose -x + 7*a - 2*a = 7, a = -f*x + 14. Factor -4*p**x - 2*p**2 + 0*p + 0*p - 2*p**4.
-2*p**2*(p + 1)**2
Let f(i) = i**2 - 5*i + 1. Let t be f(5). Let x(n) = -n**2 + 8*n + 24. Let s be x(10). What is u in 4*u**2 - t - s*u + 3 - 2*u**2 = 0?
1
Suppose -5 = -3*j + 4. Let -1 - 4*i + 0 + j + 2*i**2 = 0. What is i?
1
Let q(g) be the first derivative of -g**3/5 + 6*g**2/5 - 12*g/5 - 8. Factor q(p).
-3*(p - 2)**2/5
Let j(v) be the first derivative of -2*v + v**2 - 1/6*v**3 - 2. Determine s, given that j(s) = 0.
2
Let t(n) be the third derivative of n**6/60 + n**5/30 - 5*n**4/12 + n**3 + 19*n**2. Factor t(z).
2*(z - 1)**2*(z + 3)
Let i be 0*(4 + (-34)/4 + 5). Factor i + 3/5*q**2 + 0*q.
3*q**2/5
Let d(f) = 6*f**3 + 17*f**2 - 6*f - 17. Suppose -14 = 3*x + 1. Let h(o) = -15*o**3 - 42*o**2 + 15*o + 42. Let s(m) = x*h(m) - 12*d(m). Factor s(j).
3*(j - 1)*(j + 1)*(j + 2)
Let v(c) = -c**3 + 2*c**2 + c - 2. Let o be v(2). Factor 0*h**5 - 4*h**3 + o*h**2 - 4*h**2 + 3*h + 3*h - 2 + 6*h**4 - 2*h**5.
-2*(h - 1)**4*(h + 1)
Determine y, given that 42*y**3 + 27*y - 48*y**2 - 10*y**4 - 9*y**4 + 3*y**5 - 6 + y**4 = 0.
1, 2
Let f(y) = -y**3 - 7*y**2 - 14*y - 8. Let c(o) = -6*o**3 - 36*o**2 - 70*o - 40. Let w(r) = 3*c(r) - 16*f(r). Suppose w(n) = 0. What is n?
-1, 4
Let 2*s**2 + 0 - 4 - 18*s**3 - 50*s**2 - 26*s = 0. What is s?
-2, -1/3
Suppose 2*w + 36 = -0*l + 5*l, 2*w = -2*l - 64. Let g = w - -141/5. Find j such that -g*j + 1/5*j**4 - 3/5*j**3 + 0 + 3/5*j**2 = 0.
0, 1
Suppose -28*s + 33*s - 10 = 0. Let k(u) be the third derivative of 1/1260*u**7 + 0*u - 1/720*u**6 + 0*u**3 - 3*u**s - 1/360*u**5 + 1/144*u**4 + 0. Factor k(v).
v*(v - 1)**2*(v + 1)/6
Let v(u) be the first derivative of -1/5*u**5 - u**4 + 0*u + 4 + 0*u**2 - 4/3*u**3. Factor v(d).
-d**2*(d + 2)**2
Let m(q) be the third derivative of 0*q**3 + q**2 + 1/180*q**6 + 0 - 1/30*q**5 + 0*q + 1/18*q**4. Factor m(v).
2*v*(v - 2)*(v - 1)/3
Let g(j) be the second derivative of j**4/12 - j**3/6 - 5*j. Let u(v) = -v**2 + v. Let r(w) = -4*g(w) - 7*u(w). Solve r(m) = 0.
0, 1
Let r(o) = 3*o**5 + 9*o**4 + 18*o**3 - 42*o**2 + 48. Let m(y) = 2*y**5 + 9*y**4 + 17*y**3 - 43*y**2 + 48. Let a(h) = -6*m(h) + 5*r(h). Factor a(x).
3*(x - 2)**3*(x + 1)*(x + 2)
Let i(t) = -4*t**5 + 2*t**3 + 7*t**2 - 5. Let m(u) = 3*u**5 - u**3 - 6*u**2 + 4. Let z(f) = -4*i(f) - 5*m(f). Factor z(b).
b**2*(b - 1)**2*(b + 2)
Factor 3/2*w + 3/4 - 9/4*w**2.
-3*(w - 1)*(3*w + 1)/4
Let h = 14 + -10. Factor 2*w + 1 - 5*w**2 - h*w + 6*w**2.
(w - 1)**2
Let m be (6 - 0)/(-2 + 4). Let y(u) be the second derivative of u - 1/50*u**5 - 1/75*u**6 - 2/5*u**2 + 1/10*u**4 + 1/15*u**m + 0. Determine d so that y(d) = 0.
-2, -1, 1
Let h be 15/(-10)*(-4)/3. Suppose 5*s - 3*s + h*m = 10, 5*m = -2*s + 16. Let -4/9 - 2/3*o**2 + 2/9*o**4 + 2/9*o**s - 10/9*o = 0. What is o?
-1, 2
Let s(u) be the third derivative of -5*u**8/336 + u**7/30 - u**6/60 + 3*u**2. Factor s(f).
-f**3*(f - 1)*(5*f - 2)
Let m = 18 + -12. Factor 11 - 29 + 15*d - 3*d + m*d**2 - 3*d**3 - 6.
-3*(d - 2)**2*(d + 2)
Let i(b) be the second derivative of -b - 7/24*b**3 + 1/168*b**7 - 1/60*b**6 + 1/4*b**2 + 1/6*b**4 - 1/40*b**5 + 0. Factor i(r).
(r - 1)**4*(r + 2)/4
Let 1/2*d + 0 + 5/4*d**4 - 1/2*d**3 - 5/4*d**2 = 0. Calculate d.
-1, 0, 2/5, 1
Determine l, given that 108*l**2 - 2*l - 2 - 109*l**2 + 1 = 0.
-1
Let r(o) = 4*o - 6*o + 3*o + 13 - 2. Let t be r(-9). Factor -5*y**4 - t*y**3 - 2*y**2 + y + 7*y**2 + 2*y - y.
-y*(y - 1)*(y + 1)*(5*y + 2)
Let s(l) = -l. Let g be (1 - 0)*1/(-1). Let h = 1 + 4. Let j(u) = u**2 - 3*u + 1. Let d(p) = g*j(p) + h*s(p). Factor d(m).
-(m + 1)**2
Factor -13*z**3 - 6*z**2 - 8*z**3 - 7*z**4 + 3*z - 5*z**4.
-3*z*(z + 1)**2*(4*z - 1)
Let p = 4 - -8. Let k(i) = i**2 - 12*i + 4. Let w be k(p). Factor 1/3*u**5 + 0*u + 1/3*u**w + 0*u**3 + 0*u**2 + 0.
u**4*(u + 1)/3
Let b(y) be the first derivative of -y**6/2 + 6*y**5/25 + 15*y**4/4 - 2*y**3 - 6*y**2 + 24*y/5 + 4. Find d, given that b(d) = 0.
-2, -1, 2/5, 1, 2
Let s(v) be the first derivative of -v**6/180 - v**5/150 - 5*v**3/3 - 2. Let a(q) be the third derivative of s(q). Factor a(o).
-2*o*(5*o + 2)/5
Let y(z) be the third derivative of -z**9/60480 - z**8/20160 + z**7/5040 + z**6/720 + z**5/20 - 3*z**2. Let m(x) be the third derivative of y(x). Factor m(g).
-(g - 1)*(g + 1)**2
Let f(s) = s**3 + 8*s**2 + 4. Let z be f(-8). Solve 2 - b + z*b**3 - 1 + 2*b**2 - 3*b**2 - 3*b**3 = 0 for b.
-1, 1
Let v(r) be the second derivative of r**5/130 + r**4/39 - r**3/13 - 14*r. Factor v(z).
2*z*(z - 1)*(z + 3)/13
Let o(k) be the second derivative of -k**4/72 - 7*k**3/18 - 49*k**2/12 + 9*k. Suppose o(a) = 0. Calculate a.
-7
Find d such that -792*d**5 + 0*d**2 + 791*d**5 - d**2 + d**3 + d**4 = 0.
-1, 0, 1
Let o(q) be the second derivative of q**8/10080 + q**7/5670 - q**6/3240 - 7*q**4/12 - 8*q. Let j(l) be the third derivative of o(l). What is y in j(y) = 0?
-1, 0, 1/3
Let l(g) be the second derivative of g**5/60 + g**4/12 + g. Factor l(q).
q**2*(q + 3)/3
Let c(f) be the third derivative of -f**6/120 + 7*f**4/24 - f**3 + 6*f**2. Determine v so that c(v) = 0.
-3, 1, 2
Let w(q) be the first derivative of -10 - 4/7*q**3 - 16/7*q - 1/14*q**4 - 12/7*q**2. Solve w(j) = 0 for j.
-2
Suppose 6*i - 2*i**3 - i - 3*i**3 = 0. Calculate i.
-1, 0, 1
Suppose -l = 2*l - 12. Let g = -2 + l. Factor -2/5*h**g + 0 + 2/5*h.
-2*h*(h - 1)/5
Suppose -5*q + 4*q + 2 = 0. Let b(i) be the third derivative of 1/840*i**7 + 0*i - 2*i**q + 0*i**3 + 0 - 1/240*i**5 - 1/480*i**6 + 1/96*i**4. Factor b(a).
a*(a - 1)**2*(a + 1)/4
Let k be (-64)/(-120)*((-11)/(-4) - 2). What is i in -8/5*i**5 + 2/5*i**2 + 0*i + 8/5*i**3 + 0 - k*i**4 = 0?
-1, -1/4, 0, 1
Let r(g) = -7*g**4 - 2*g**3 - 6*g**2 - 2*g - 7. Let q(x) = 6*x**4 + x**3 + 6*x**2 + x + 6. Let s(k) = 6*q(k) + 5*r(k). Find b such that s(b) = 0.
1
Let b(m) = m**3 - 4*m**2 + 4*m - 3. Let r be b(3). Factor -4*k**4 + k**3 + k**5 + r*k**5 + 6*k**4.
k**3*(k + 1)**2
Let r be 0/(-2) - 26*8/(-36). Suppose 2*h**5 + 8*h**2 + 4/9 - 4/3*h**4 - 10/3*h - r*h**3 = 0. What is h?
-2, 1/3, 1
What is q in -2/9*q**3 + 0*q**2 + 0 + 8/9*q = 0?
-2, 0, 2
Let u be (-