 + 27*l**2 + 610*l.
-5*l*(l - 3)*(l - 1)
Factor 14*a**2 + a**3 - 15*a**2 - 2*a + 0*a**3.
a*(a - 2)*(a + 1)
Let h(y) be the third derivative of -y**6/60 + 11*y**5/70 - 8*y**4/21 - 4*y**3/7 - 7*y**2. What is d in h(d) = 0?
-2/7, 2, 3
Let k(n) = -3*n - 12. Let t be k(-8). Let h be t/(-8)*(-5)/3. Factor h*q**2 - 1 + 3/2*q.
(q + 1)*(5*q - 2)/2
Let n(x) be the third derivative of 0*x + 1/210*x**7 + x**2 + 0 + 1/120*x**6 - 1/80*x**5 - 1/48*x**4 + 1/24*x**3. Factor n(j).
(j + 1)**2*(2*j - 1)**2/4
Let d(t) be the third derivative of t**6/360 + t**5/20 + 3*t**4/8 + 3*t**3/2 + 7*t**2. Solve d(n) = 0.
-3
Let q = -278 + 135. Let x be 12/(-20)*(-4 + q). Factor x*i**2 + 3/5 - 63/5*i - 1029/5*i**3.
-3*(7*i - 1)**3/5
Let p(r) be the first derivative of r**6/12 - r**4/8 + 21. Solve p(l) = 0.
-1, 0, 1
Find p, given that -1/3*p**4 - 1/3*p + 1/3*p**2 + 1/3*p**3 + 0 = 0.
-1, 0, 1
Factor 4/3*m**4 + 0 + 10/3*m**3 + 8/3*m**2 + 2/3*m.
2*m*(m + 1)**2*(2*m + 1)/3
Suppose 5*k + 26 = 3*z, -k + 3*k = 2*z - 16. Suppose 0 = c - z*c. Factor -4/7*q + c - 2/7*q**3 - 6/7*q**2.
-2*q*(q + 1)*(q + 2)/7
Let b(a) = -4*a**5 + 13*a**4 - 36*a**3 + 35*a**2 - 15*a. Let v(d) = -2*d**5 + 7*d**4 - 18*d**3 + 17*d**2 - 7*d. Let j(c) = -3*b(c) + 7*v(c). Factor j(i).
-2*i*(i - 2)*(i - 1)**3
Let d(m) be the first derivative of 11*m**5/5 - m**4/2 - 11*m**3 - 8*m**2 + 4*m - 17. Determine v so that d(v) = 0.
-1, 2/11, 2
Let m(t) be the second derivative of 2/7*t**4 - 3/7*t**3 - 8/105*t**5 - t + 1/2*t**2 + 0. Let l(q) be the first derivative of m(q). Factor l(c).
-2*(4*c - 3)**2/7
Let s(t) be the second derivative of -t**7/70 + 3*t**5/50 - t**3/10 - 5*t. Suppose s(r) = 0. Calculate r.
-1, 0, 1
Let b be ((-24)/(-15))/(2/5). Factor 0*w**2 + 0*w + 0 - 1/2*w**3 - 1/2*w**b.
-w**3*(w + 1)/2
Solve -1/6*h**3 + 1/6*h**2 + 1/6*h - 1/6 = 0.
-1, 1
Let p(f) be the first derivative of f**3 + 0*f**3 - 1 - 2. Factor p(d).
3*d**2
Let t(k) be the second derivative of -k**7/42 - k**6/30 + k**5/4 + k**4/12 - 4*k**3/3 + 2*k**2 + 5*k. What is x in t(x) = 0?
-2, 1
Let a be (-6)/(-36) - 18/112. Let g(i) be the third derivative of 0*i**3 + 0 - a*i**7 + i**2 - 1/120*i**5 + 7/480*i**6 + 0*i**4 + 0*i. Solve g(m) = 0 for m.
0, 2/5, 1
Factor 2/3*p**2 - 2/3*p + 0.
2*p*(p - 1)/3
Let c = 20 - 18. Let w = c - 3/2. Solve -3/4*v**3 - 7/4*v**4 - w*v + 7/4*v**2 + 5/4*v**5 + 0 = 0 for v.
-1, 0, 2/5, 1
Let h(v) be the first derivative of v**5/40 - v**4/8 + v**3/6 + 3*v - 7. Let f(d) be the first derivative of h(d). Solve f(a) = 0.
0, 1, 2
Let h(o) = o**2 + 6*o - 5. Let v be h(-7). Determine j, given that -8*j - j - v*j**2 + 5*j**2 = 0.
0, 3
Let c(g) be the first derivative of 0*g**2 + 1/5*g**5 + 0*g + 1/6*g**6 - 1/3*g**3 - 1/4*g**4 + 5. Factor c(q).
q**2*(q - 1)*(q + 1)**2
Let u = 292 + -292. Find y, given that -4/3*y**3 + 0*y + u + 0*y**2 + 4/3*y**4 = 0.
0, 1
Let l(a) be the third derivative of 5*a**6/6 + 17*a**5/12 - 25*a**4/24 - 5*a**3/3 + 27*a**2. Factor l(y).
5*(y + 1)*(4*y + 1)*(5*y - 2)
Let b(t) = -t - 15. Suppose 8 - 23 = o. Let a be b(o). Factor 3/2*s**4 + 1/2*s**2 + 2*s**3 + a*s + 0.
s**2*(s + 1)*(3*s + 1)/2
Let v(q) be the first derivative of q**3/9 - 15. Determine l, given that v(l) = 0.
0
Let q(s) = 12*s**4 - 31*s**3 + 15*s**2 + 4*s. Let n(v) = 24*v**4 - 61*v**3 + 30*v**2 + 7*v. Let c(t) = 2*n(t) - 5*q(t). Find i such that c(i) = 0.
-1/4, 0, 1, 2
Let k be 4/(2 + -4) - -7. Suppose -k*h = 2*p - 16, -12 = 2*h - 4*h + 2*p. Suppose -4*v**2 - 3/2*v + 5/2*v**5 + 1 - 9*v**h + 11*v**3 = 0. What is v?
-2/5, 1
Determine j so that 0 - 1/10*j**3 - 1/10*j**4 + 0*j + 0*j**2 = 0.
-1, 0
Let i(h) be the third derivative of h**8/10080 + h**7/1890 + h**6/1080 - h**4/8 + 4*h**2. Let o(j) be the second derivative of i(j). Factor o(l).
2*l*(l + 1)**2/3
Let n = 7/1066 + 213179/3198. Let i = n - 66. Find m, given that 0*m + 2/3*m**2 - i = 0.
-1, 1
Let w(l) = -l**3 + l**2 + l + 1. Let k(d) = -4*d**3 + 6*d**2 + 5*d + 5. Let u(j) = -k(j) + 5*w(j). Determine t, given that u(t) = 0.
-1, 0
Suppose 6*d = 4*d - 62. Let s = d + 33. Factor 1/4 - 1/4*k**s - 1/4*k + 1/4*k**3.
(k - 1)**2*(k + 1)/4
Let c be (-31)/(-54) + 0/1. Let p = c + -2/27. Factor 0*z + 0 - p*z**2.
-z**2/2
Let h(g) be the second derivative of -g**5/210 - g**4/42 - g**3/21 + g**2 - g. Let z(b) be the first derivative of h(b). Factor z(k).
-2*(k + 1)**2/7
Let x be (1/7)/((-8)/(-28)). Let d(p) be the first derivative of 0*p - x*p**2 - 2 - 1/4*p**4 - 2/3*p**3. Let d(f) = 0. Calculate f.
-1, 0
Solve -1/3*d**2 + 0 - 2/3*d = 0 for d.
-2, 0
Let w be 4 - ((-21)/7 + (-34)/(-5)). What is b in 2/5*b**4 - 1/5*b + 0 + w*b**5 - 2/5*b**2 + 0*b**3 = 0?
-1, 0, 1
Determine l, given that 1/4 + 1/4*l**3 - 1/4*l**2 - 1/4*l = 0.
-1, 1
Let b = -1776 + 422687/238. Let r = 1433/1190 + b. Solve 8/5*l**2 - 4/5 - r*l + 6/5*l**3 - 4/5*l**4 = 0 for l.
-1, -1/2, 1, 2
Let c(d) = 5*d**2. Let u be c(-1). Factor -2*w**2 - 3*w - 4*w + u*w + 2*w**4 + 3*w - w**5.
-w*(w - 1)**3*(w + 1)
Suppose -v = -2*v. Let s be v/(-3*3/(-9)). Let 2/3*q**5 + 2/3*q - 4/3*q**3 + 0*q**2 + 0*q**4 + s = 0. Calculate q.
-1, 0, 1
Let u be 4*5/60*9. Suppose 1/3*n + 1/3 - 2/3*n**u - 2/3*n**2 + 1/3*n**4 + 1/3*n**5 = 0. Calculate n.
-1, 1
Let j(i) = 3*i**3 - i**2 - 4*i**3 - 5*i + 6*i**3 - 2*i**2. Let f = 1 + -3. Let c(s) = -4*s**3 + 2*s**2 + 4*s. Let q(v) = f*j(v) - 3*c(v). Factor q(d).
2*d*(d - 1)*(d + 1)
Let h(y) be the first derivative of 3*y**4 - 1 - 8/3*y**3 - 8/5*y**5 + y**2 + 0*y + 1/3*y**6. Determine d so that h(d) = 0.
0, 1
Let a(j) be the first derivative of j**6/24 - j**5/10 - 3*j**4/16 + j**3/3 + j**2/2 - 6. Solve a(o) = 0.
-1, 0, 2
Let y = 24 - 20. Let z(m) be the third derivative of 0*m + 1/84*m**y + 0*m**3 - m**2 + 0 + 1/210*m**5. Solve z(x) = 0.
-1, 0
Factor 256 + 67*k + 48*k**2 - 65*k + 5*k**3 + 190*k - k**3.
4*(k + 4)**3
Let i(w) be the third derivative of -1/3*w**3 - 1/120*w**6 + 4*w**2 + 0 + 0*w + 1/30*w**5 + 1/24*w**4. Factor i(d).
-(d - 2)*(d - 1)*(d + 1)
Find n, given that 0*n - 3/2*n**4 + 9/2*n**3 + 0*n**2 + 0 = 0.
0, 3
Let f = -13 - -21. Let z = 6 - f. Let b(h) = h**2 + 1. Let t(u) = u**2 - 2*u + 1. Let y(s) = z*t(s) + 4*b(s). Solve y(q) = 0.
-1
Let l(t) be the second derivative of t**5/20 - t**4/3 + 5*t**3/6 - t**2 + 5*t. Factor l(x).
(x - 2)*(x - 1)**2
Suppose -3 = -x - 1. Let k(t) be the third derivative of 1/420*t**7 + 0*t**5 + 0 - t**x + 0*t + 0*t**3 + 0*t**4 + 0*t**6. Factor k(h).
h**4/2
Let l = -5 + 8. Suppose l*p + 0*p = 15. Find m such that 8*m**3 + m**2 + m**2 - 5*m**5 - 3*m**p - 2*m**4 = 0.
-1, -1/4, 0, 1
Let v(w) = w - 1. Let m be v(4). Factor -3*b**2 - m*b + 3*b + 5*b**2.
2*b**2
Factor -222*g**2 + 2*g + 219*g**2 - 2*g + 3.
-3*(g - 1)*(g + 1)
Find n, given that 7/3*n + 2/3 + 8/3*n**2 + n**3 = 0.
-1, -2/3
Suppose -y = 5*t + 4 - 0, 5*t + 12 = -3*y. Let f(g) be the first derivative of -1/12*g**3 - 2 - 1/8*g**2 + t*g. Find j, given that f(j) = 0.
-1, 0
Solve -1/2*u**4 + 0 + 0*u**3 + 0*u + 1/2*u**2 = 0 for u.
-1, 0, 1
Let s(y) = -3*y**2 - 5*y - 5. Suppose -j = p + 4*j - 17, 20 = 4*p + 4*j. Let o(h) = -h - 5*h - p*h**2 - 2*h**2 - 6. Let l(w) = 5*o(w) - 6*s(w). Factor l(m).
-2*m**2
Let d(t) be the third derivative of t**7/840 - t**6/96 - 27*t**2. Find c, given that d(c) = 0.
0, 5
Let w = 3 - 1. Factor 4*u + 0*u**2 - 3*u + u**w.
u*(u + 1)
Suppose 0 = -5*q + 2*k + 2, -5*q - 2*k = -2 + 4. Solve 6/7*b - 6/7*b**3 + 3/7 + q*b**2 - 3/7*b**4 = 0.
-1, 1
Let t(h) be the first derivative of -1/5*h + 1/15*h**3 + 0*h**2 + 3. Solve t(s) = 0 for s.
-1, 1
Let c(m) be the third derivative of -m**5/30 - 22*m**2. Factor c(r).
-2*r**2
Suppose -5*l - 3*x - 1 = 13, -4*l + 11 = -5*x. Let i = l - -5. Factor 1 - 2*t**3 - 2*t**4 + t**5 + 4*t**i + t - 2*t**2 - t**4.
(t - 1)**2*(t + 1)**3
Let t(m) be the third derivative of m**6/10 + 7*m**5/15 + m**4/3 + 32*m**2. Factor t(z).
4*z*(z + 2)*(3*z + 1)
Let g = 7 - 4. Suppose 5*o - 5*z - 15 = 5, -g*o = -z - 10. Factor 2*c - 4 - 4 + 2*c + 3*c**o + 10*c**2.
(c + 2)**2*(3*c - 2)
Let y(q) be the first derivative of 1/18*q**6 + 1/3*q**4 - 5/6*q**2 + 3 - 2/9*q**3 + 4/15*q**5 - 2/3*q. Factor y(j).
(j - 1)*(j + 1)**3*(j + 2)/3
Let b = -12 - -17. Suppose b*k = 18 - 3. Factor -1 + 4*r + 6*r**2 - 3*r**k + 2 + r**4 + 7*r**3.
(r + 1)**4
Let a(i) = 28*i**2 + 1. Let h be a(-1). Suppose -2*c**2 + 2 - 8*c**5 + 23*c - h*c + 0*c