(f - 1)**3*(4*f - 1)
Let r(h) be the third derivative of -h**6/60 - 7*h**5/30 - 11*h**4/12 - 5*h**3/3 - 27*h**2. Suppose r(o) = 0. Calculate o.
-5, -1
Let f be 6/(-2 + 129/60). Let r be (-9)/(-3) + f/(-24). Factor 2/3 + 2/3*k**2 - r*k.
2*(k - 1)**2/3
Determine y so that -4*y**3 - 4*y**2 + y**4 + y**5 - 1839 + 1839 = 0.
-2, -1, 0, 2
Let z(a) = -20*a**4 + 85*a**3 - 70*a**2 - 95*a - 5. Let y(n) = 21*n**4 - 86*n**3 + 69*n**2 + 96*n + 6. Let m(k) = -5*y(k) - 6*z(k). Factor m(r).
5*r*(r - 3)**2*(3*r + 2)
Let y(c) be the second derivative of -c**4/15 + 2*c**3/3 - 8*c**2/5 + 31*c. Factor y(h).
-4*(h - 4)*(h - 1)/5
Let c be (-2)/8 + 36/16. Solve 1/3 + 1/3*h**c + 2/3*h = 0.
-1
Let o = -24 + 27. Find m such that -2*m**4 + 24*m - 24*m**2 + 4*m**o + 8*m**3 - 8 - 2*m**2 = 0.
1, 2
Let m = -5 + 11. Suppose -m = -2*l - v, -2 = -4*l + 3*v + 10. Solve 0*n**l + 5*n**2 + 3*n - 3*n**3 + 3 - 8*n**2 = 0 for n.
-1, 1
Let b(q) be the third derivative of -25*q**8/336 + q**7/14 + q**6/12 - 14*q**2. Factor b(c).
-5*c**3*(c - 1)*(5*c + 2)
Let x(d) be the first derivative of -d**4/24 - d**3/18 - 26. Factor x(t).
-t**2*(t + 1)/6
Solve -5/7*i**4 - 30/7*i**2 + 27/7*i**3 + 8/7*i + 0 = 0 for i.
0, 2/5, 1, 4
Solve 2*d**5 - 10*d**2 - 2*d - 4*d**4 + 12*d**2 + 2*d**2 = 0 for d.
-1, 0, 1
Find b, given that -57/5*b**3 - 6/5*b**2 + 6/5 + 57/5*b = 0.
-1, -2/19, 1
Suppose 5 = -5*c + 2*w - 22, -4*w = c + 1. Let f(o) = o**2 + 4*o. Let d be f(c). Factor -2 + a - a**2 - a**2 - d*a.
-2*(a + 1)**2
Let w(x) = -10*x**3 - 20*x**2 + 10*x + 20. Let i(h) = -4*h**3 - 8*h**2 + 4*h + 8. Let l(t) = -12*i(t) + 5*w(t). Determine d so that l(d) = 0.
-2, -1, 1
Let g(j) = j**2 + 8*j - 8. Let b(d) = d**2 - d + 1. Let h(o) = -4*b(o) + g(o). Solve h(i) = 0.
2
Factor 4*q - 4*q**3 - 2 + 2.
-4*q*(q - 1)*(q + 1)
Let w(g) = g**2 - 8*g + 3. Let d be w(8). Let j = 4 - d. Factor -4*i - j + 2 + 4*i - i**2.
-(i - 1)*(i + 1)
Let f = -802/5 + 162. Solve 8/5 + 2/5*t**2 + f*t = 0 for t.
-2
Let x(w) be the first derivative of -2/9*w - 2/9*w**2 - 1 - 2/27*w**3. Determine g so that x(g) = 0.
-1
Let g(s) be the first derivative of s**4/18 + 2*s**3/9 - 8*s/9 - 1. Factor g(c).
2*(c - 1)*(c + 2)**2/9
Let x(u) be the first derivative of 3*u**5/25 - 3*u**4/5 + 6*u**3/5 - 6*u**2/5 + 3*u/5 + 1. Let x(o) = 0. What is o?
1
Let g(o) be the first derivative of o**8/2520 - o**7/1260 - o**6/540 + o**5/180 - o**3/3 - 1. Let k(n) be the third derivative of g(n). Factor k(d).
2*d*(d - 1)**2*(d + 1)/3
Let b(v) be the third derivative of -v**8/1008 - v**7/126 - v**6/36 - v**5/18 - 5*v**4/72 - v**3/18 + v**2. Let b(i) = 0. What is i?
-1
Let f(n) = -13*n**4 - 12*n**3 - 13*n**2 + 12*n + 17. Let q(d) = -6*d**4 - 6*d**3 - 6*d**2 + 6*d + 8. Let x(y) = 4*f(y) - 9*q(y). Factor x(v).
2*(v - 1)*(v + 1)**2*(v + 2)
Let h(s) = 12*s**4 + 24*s**3 - 24*s - 8. Let k(q) = q**4 + q**3 - q. Let r(n) = -h(n) + 4*k(n). Let r(l) = 0. Calculate l.
-2, -1, -1/2, 1
Let a be (-3*1)/(24/(-6) - -3). Factor -2/3*s**2 + 0 + 0*s - 7/3*s**a.
-s**2*(7*s + 2)/3
Find x such that -72*x**3 + 25 - 9 - 9*x**2 + 145*x**2 - 13*x**4 + 27*x**5 - 14*x**4 - 80*x = 0.
-2, 2/3, 1
Let a(u) = u**3 - u**2 + u. Let s(y) = 5*y**5 + 40*y**4 - 53*y**3 - 37*y**2 + 42*y. Let f(h) = 3*a(h) + s(h). Let f(p) = 0. Calculate p.
-9, -1, 0, 1
What is k in 4/7*k + 6/7 - 2/7*k**2 = 0?
-1, 3
Suppose -2*u = -4*y + 16, 5*y - 13 = 2*y + u. Factor 3*v**y + v**3 - v**5 + 0 + 6*v**4 - 4*v**2 - 6*v - 2 + 3*v**3.
2*(v - 1)*(v + 1)**4
Let a = -1 + 0. Let z(d) = -12*d**5 - 18*d**3 + 15*d**2 - 15*d - 15. Let s(o) = -o**5 - o**3 + o**2 - o - 1. Let y(t) = a*z(t) + 15*s(t). Solve y(g) = 0 for g.
-1, 0, 1
Let d(i) be the third derivative of -7*i**6/8 - 2*i**5/3 + 55*i**4/24 - 5*i**3/3 - 11*i**2. What is t in d(t) = 0?
-1, 2/7, 1/3
Let z(x) = 2*x**4 - 7*x**3 - 5*x**2 + 5*x - 5. Let o(w) = -6*w**4 + 22*w**3 + 16*w**2 - 16*w + 16. Let k(f) = 5*o(f) + 16*z(f). Factor k(b).
2*b**3*(b - 1)
Let r be (-4)/6 + 12/18. Factor 0*a + 0*a**4 + 0 + 1/6*a**3 + r*a**2 - 1/6*a**5.
-a**3*(a - 1)*(a + 1)/6
Let l = -2013/17 + 117. Let c = -4/51 - l. Find r such that -c - 49/3*r**2 + 28/3*r = 0.
2/7
Let 13*z**4 + 81*z**3 + 111*z**3 - 44*z**4 - 17*z**4 + 3*z**5 = 0. What is z?
0, 8
Let i = 8 + -4. Suppose 0 = -3*v - 2*y + 12, 11 = i*v - 0*y + y. What is p in -v*p**5 - 8*p**4 + p - 3*p - 8*p**2 - 12*p**3 + 0*p = 0?
-1, 0
Let n(t) be the third derivative of t**8/2520 + t**7/1575 - 10*t**2. Factor n(p).
2*p**4*(p + 1)/15
Let o(r) = r + 3. Let x be o(-3). Let q be ((-2)/(-8))/(0 - -1). What is m in 0*m**2 + x - q*m + 1/4*m**3 = 0?
-1, 0, 1
Suppose -3*s + 5*f = 6, -2*s + 21 = s + 4*f. Let h(g) be the first derivative of 1/2*g + 3 + 1/12*g**s - 3/8*g**2. Factor h(d).
(d - 2)*(d - 1)/4
Suppose 4*w - 8 = 4*u, 3*u + 5 = 4*w - 2. Let v(p) be the first derivative of 2/5*p**5 - 2/3*p**3 - p**2 + 1/2*p**4 + w + 0*p. Let v(t) = 0. Calculate t.
-1, 0, 1
Let j = 25/3 + -17/3. Factor 2*k**2 + 2/3*k**3 - j + 0*k.
2*(k - 1)*(k + 2)**2/3
Let c(n) = 3*n**4 - 8*n**3 - 11*n**2 - 8*n + 8. Let l(x) = x**4 - 3*x**3 - 4*x**2 - 3*x + 3. Let g(f) = -3*c(f) + 8*l(f). Solve g(y) = 0.
-1, 0, 1
Suppose -3*g - 4*h - 5 = -4*g, -4*g - 3*h + 1 = 0. Let a = g + 1. Factor 0 + 2/7*x + 8/7*x**a.
2*x*(4*x + 1)/7
Suppose -3*x = -8*x + 20. Factor -2*q**3 - q**4 - 3*q**x + q**4 + q**2 + 0*q**3.
-q**2*(q + 1)*(3*q - 1)
Let u(f) = 15*f**2 + 85*f + 5. Let r(w) = 7*w**2 + 42*w + 2. Let d(s) = -5*r(s) + 2*u(s). What is l in d(l) = 0?
-8, 0
Let z(w) be the first derivative of 10/3*w**3 - 7*w**2 + 4*w + 4. Solve z(q) = 0 for q.
2/5, 1
Find r such that r**4 - 4*r**2 + 5*r**4 - 10*r**3 - 2*r**4 + 8*r + 2*r**3 = 0.
-1, 0, 1, 2
Let g = 3 + 1. Suppose 2*l + 10 = a + a, 0 = -g*a + 2*l + 14. Factor 0 - 1/2*b**a + 0*b - 1/2*b**3.
-b**2*(b + 1)/2
Suppose 2*u - 4*u = 0. Suppose u*j + 5*j = 10. Solve 1/2*n**j + 1/4*n + 0 + 1/4*n**3 = 0.
-1, 0
Suppose -3*z + 12258 = 3*m, -4*z + 0*m = -3*m - 16323. Let p = z + -28485/7. Find h, given that 0 - 10/7*h**3 - 16/7*h**4 + 0*h + 2/7*h**2 + p*h**5 = 0.
-1/3, 0, 1/4
Let j(a) be the third derivative of a**9/5040 + a**8/840 + a**7/360 + a**6/360 - a**4/24 + 4*a**2. Let f(o) be the second derivative of j(o). Factor f(n).
n*(n + 1)**2*(3*n + 2)
Let n(f) be the second derivative of 1/2*f**2 + 0 + 1/36*f**4 - 3*f - 5/18*f**3 + 1/60*f**5. Factor n(q).
(q - 1)**2*(q + 3)/3
Let c(f) = 42*f**5 + 11*f**4 - 8*f**3 + 2*f**2 - 2*f + 2. Let q(h) = 168*h**5 + 45*h**4 - 33*h**3 + 9*h**2 - 9*h + 9. Let i(v) = 9*c(v) - 2*q(v). Factor i(o).
3*o**3*(2*o + 1)*(7*o - 2)
Suppose 0 = 13*k - 14*k + 4. Find g, given that -1/4*g**5 + 0 - 1/2*g**k + g**2 - g + 3/4*g**3 = 0.
-2, 0, 1
Let s(d) be the first derivative of d**5/210 + d**4/84 - d**2/2 + 1. Let r(k) be the second derivative of s(k). Find l such that r(l) = 0.
-1, 0
Let r(x) be the second derivative of x**4/54 + 2*x**3/27 + x**2/9 + 4*x. Let r(s) = 0. Calculate s.
-1
Let p(a) be the first derivative of 0*a - 1/21*a**6 - 8/35*a**5 - 8/21*a**3 - 2 - 3/7*a**4 - 1/7*a**2. Factor p(z).
-2*z*(z + 1)**4/7
Let q = -207 - -1657/8. Let x(n) be the third derivative of 2/35*n**7 + 0*n**3 + 0 - 7/40*n**6 - n**2 + 0*n + 1/10*n**5 + q*n**4. Determine t so that x(t) = 0.
-1/4, 0, 1
Let z(q) = -7*q**2 + 2*q + 2. Let t(i) = 2 + 1 + 2*i + i - 13*i**2. Let c(d) = 6*t(d) - 11*z(d). Find y, given that c(y) = 0.
-2
Suppose -2*i**3 + 4*i**3 - 4*i**2 - 40 + 44 - 2*i = 0. Calculate i.
-1, 1, 2
Suppose 3 = 107*w - 106*w. Let c(f) be the first derivative of 2*f + 4 + 1/2*f**4 - f**2 - 2/3*f**w. Factor c(o).
2*(o - 1)**2*(o + 1)
Factor -4/5*r**2 + 0 + 0*r + 16/5*r**4 + 12/5*r**3.
4*r**2*(r + 1)*(4*r - 1)/5
Let m(l) = -75*l**3 + 24*l**2 + 54*l - 18. Let n(r) = -r + 52*r**2 + 0 - 1 + 2 - 51*r**2. Suppose 0*k + 3*k = -3. Let y(w) = k*m(w) + 9*n(w). Factor y(v).
3*(v + 1)*(5*v - 3)**2
Factor -3*b**3 + 5*b - 7*b**3 - 15*b**5 + 9*b**5 + 11*b**5.
5*b*(b - 1)**2*(b + 1)**2
Let x(a) = 2*a**4 - 20*a**3 - 27*a**2 - 21*a - 11. Let l(z) = 3*z**4 - 21*z**3 - 27*z**2 - 21*z - 12. Let g(r) = -5*l(r) + 6*x(r). Factor g(h).
-3*(h + 1)**3*(h + 2)
Let v(a) = -a**4 - 5*a**3 - 16*a**2 - 6*a. Let w(y) = -2*y**4 - 5*y**3 - 17*y**2 - 7*y. Let r(t) = 7*v(t) - 6*w(t). Factor r(j).
5*j**2*(j - 2)*(j + 1)
Let n(q) = -q**4 + q**2 + 3*q + 3. Let x(o) = -o**4 + o**2 + 4*o + 4. Let z = 0 - -3. Le