 5 + 0*z**2 + 0*z - 1/20*z**4. Factor r(c).
-c**2*(c - 1)/5
Let s = 12 + -7. Let z(n) be the third derivative of 0*n**s - 1/28*n**8 + 4*n**2 - 1/40*n**6 + 0*n**3 + 0*n + 0 + 1/14*n**7 + 0*n**4. Find g such that z(g) = 0.
0, 1/4, 1
Solve 3*h + 2*h**3 - 9 - h**5 + 9 - 4*h = 0 for h.
-1, 0, 1
Let r(n) = -15*n**2 - 24*n - 6. Let g(s) = -s**4 + 16*s**2 + 24*s + 7. Let o(z) = 3*g(z) + 2*r(z). Factor o(w).
-3*(w - 3)*(w + 1)**3
Find d, given that -1/3*d + 4/3*d**2 + 2/3*d**4 - 5/3*d**3 + 0 = 0.
0, 1/2, 1
Let k(g) be the third derivative of -5*g**8/672 - 11*g**7/210 - 19*g**6/120 - 4*g**5/15 - 13*g**4/48 - g**3/6 - 22*g**2. Suppose k(o) = 0. Calculate o.
-1, -2/5
Let o(t) = -t**2 - 5*t + 3. Let g be o(-5). Suppose -3 - 16*c - 9*c**2 - 7*c**g + 34*c**3 + 0 + c = 0. What is c?
-1/3, 1
Let z = -4 + 4. Let g(y) be the third derivative of -1/300*y**6 + 1/30*y**4 + z*y**3 - y**2 + 0 + 1/150*y**5 + 0*y. Factor g(s).
-2*s*(s - 2)*(s + 1)/5
Let w be 147/(-63)*1/(-7). What is m in 1/3*m - 1/3*m**3 - 1/3 + w*m**2 = 0?
-1, 1
Let o(p) be the first derivative of p**6/45 + p**5/20 - p**4/12 + 4*p**3/3 - 2. Let h(j) be the third derivative of o(j). Factor h(u).
2*(u + 1)*(4*u - 1)
Let o be ((-15)/5)/3 - 3. Let h be 14/o*36/(-84). Factor 1/2*g**4 - h*g**2 + 2*g - g**3 + 2.
(g - 2)**2*(g + 1)**2/2
Let t(k) be the third derivative of -k**7/105 - k**6/30 - k**5/30 + 4*k**2. Factor t(l).
-2*l**2*(l + 1)**2
Let l(n) = n**3 + 12*n**2 + 3*n + 10. Let s(k) = k**2 + 1. Suppose -g + 3*g + 2 = -2*t, -g + 2*t = 4. Let c(j) = g*l(j) + 18*s(j). Factor c(f).
-2*(f + 1)**3
Let w be (6/12)/((-1)/2). Let q be w/(-3)*(-3)/(-2). Factor 1/2*s - 1/2*s**2 + 1/2 - q*s**3.
-(s - 1)*(s + 1)**2/2
Let k(a) be the second derivative of a**10/60480 - a**9/30240 - a**8/13440 + a**7/5040 - a**4/2 + 4*a. Let b(d) be the third derivative of k(d). Solve b(m) = 0.
-1, 0, 1
Let u(i) = 3*i**3 - 5*i**2 - 10*i - 8. Let s(c) = 2*c**3 - 3*c**2 - 7*c - 5. Let t(h) = 8*s(h) - 5*u(h). Factor t(k).
k*(k - 2)*(k + 3)
Suppose 4/5*y**3 - 4/5*y**4 - 4/5*y - 8/5 + 12/5*y**2 = 0. Calculate y.
-1, 1, 2
Let z(s) be the second derivative of -s**5/110 + s**4/33 + s**3/33 - 2*s**2/11 + 11*s. Determine o, given that z(o) = 0.
-1, 1, 2
Let p(k) be the first derivative of -1/10*k**4 + 1/10*k**2 - 2/15*k**3 + 1/30*k**6 - 2 + 1/5*k + 1/25*k**5. Solve p(b) = 0 for b.
-1, 1
Factor 6*f**3 - 5*f**4 - 5 + 14*f**2 - 4*f**2 - 5*f - 5*f**5 + 4*f**3.
-5*(f - 1)**2*(f + 1)**3
Let c(y) be the third derivative of -7*y**5/60 + y**4/5 - 2*y**3/15 + 3*y**2. Factor c(r).
-(5*r - 2)*(7*r - 2)/5
Suppose -2*s + 4 = -2*y, 2*s - 12 = -s + y. Let a = 7 - s. Solve 19*x**3 - 3*x - 10*x**4 + 0 + 8*x**a + 2 - 8*x - 8*x**5 = 0.
-2, -1, 1/4, 1/2, 1
Let j(v) be the second derivative of 1/6*v**2 + 2*v - 1/36*v**4 + 0*v**3 + 0. Find l, given that j(l) = 0.
-1, 1
Let t be 3/6 - 13/2. Let i be (t/8)/((-45)/40). Solve 2/3*p - i*p**2 + 0 = 0.
0, 1
Factor 4 + 4*n**2 + 2 - 1 + n**2 - 10*n.
5*(n - 1)**2
Let w(z) be the second derivative of -z**6/165 - z**5/55 - z**4/66 - 6*z. Factor w(f).
-2*f**2*(f + 1)**2/11
Let j(v) be the second derivative of -v**5/5 - v**4/12 + 3*v. Suppose j(p) = 0. What is p?
-1/4, 0
What is b in -3/7 - 9/7*b**2 + 12/7*b = 0?
1/3, 1
Factor 0*x**2 + 1/7*x**3 - 1/7*x + 0.
x*(x - 1)*(x + 1)/7
Let r(m) = -2*m**5 - 3*m**4 - 3*m**3 - 5*m**2 - 3*m + 3. Let w(l) = 2*l**5 + 4*l**4 + 4*l**3 + 4*l**2 + 2*l - 2. Let c(o) = 2*r(o) + 3*w(o). Factor c(t).
2*t**2*(t + 1)**3
Let 5/3 + 1/3*m**4 + 6*m**2 + 8/3*m**3 + 16/3*m = 0. Calculate m.
-5, -1
Let f be 7/(-213)*6/(-21). Let h = f + 203/1065. Factor 1/5*b**3 + 3/5*b + h + 3/5*b**2.
(b + 1)**3/5
Let y(l) be the third derivative of -l**9/30240 + l**8/5040 - l**7/2520 - l**5/20 - 2*l**2. Let t(m) be the third derivative of y(m). Factor t(j).
-2*j*(j - 1)**2
Factor 4/7*y**3 - 16/7*y**2 + 16/7 - 4/7*y.
4*(y - 4)*(y - 1)*(y + 1)/7
Suppose -7*t + 2*t - 15 = 0. Let n = 0 - t. Suppose -3*y**3 + n*y**5 + y**2 - 4*y**5 + 7*y**4 - 4*y**4 = 0. Calculate y.
0, 1
Let j(p) be the second derivative of -p**7/168 - p**6/60 - p**5/80 - 7*p. Factor j(s).
-s**3*(s + 1)**2/4
Let b = -12 + 14. Suppose -9*t**2 + 1 - 4*t + 2*t + 10*t**b = 0. Calculate t.
1
Suppose -g - 5*f - 13 = 0, 5*g - 5 = 4*g + f. Find w such that -1/3*w**2 - 3 + g*w = 0.
3
Let g be (3/(-4))/(2/(-8)). Suppose 0 = -g*w - 2*w. Factor w + r**2 + 0.
r**2
Let x(q) be the second derivative of -q**4/48 - q**3 - 18*q**2 - 2*q - 25. Factor x(a).
-(a + 12)**2/4
Suppose 0 = -2*f + 16 - 12. Let 4/11 + 2/11*l**f + 6/11*l = 0. Calculate l.
-2, -1
Suppose -3*h - 5*a + 41 = 0, -5*h = -2*a - 3*a - 15. Suppose 2*r - 2*r + r - h*r - 3 - 3*r**2 = 0. What is r?
-1
Let s(d) be the first derivative of 2*d**3/9 + d**2 - 8*d/3 - 10. Factor s(r).
2*(r - 1)*(r + 4)/3
Let m be ((-1)/(-5))/((-18)/(-36)). Find l, given that -2/5*l + 0 + 0*l**3 + m*l**5 + 4/5*l**4 - 4/5*l**2 = 0.
-1, 0, 1
Suppose -20/3*u**3 - 85/3*u**2 + 25/3 + 80/3*u = 0. What is u?
-5, -1/4, 1
Let i be (6/7)/(2/42). Let t(y) = -y**4 - 2*y**3 - 2*y**2 + 2*y + 1. Let l(f) = -5*f**4 - 8*f**3 - 9*f**2 + 8*f + 5. Let m(p) = i*t(p) - 4*l(p). Factor m(n).
2*(n - 1)**3*(n + 1)
Let z(h) be the third derivative of h**9/241920 + h**8/80640 - h**7/20160 - h**6/2880 - h**5/60 - 2*h**2. Let i(b) be the third derivative of z(b). Factor i(j).
(j - 1)*(j + 1)**2/4
Let v = -1441/24 + 411/8. Let x = v - -28/3. Let 2/3*w - x*w**2 + 0 = 0. Calculate w.
0, 1
Factor 44/5*s**3 - 44/5*s + 8/5*s**2 - 8/5.
4*(s - 1)*(s + 1)*(11*s + 2)/5
Let o(z) be the second derivative of 0*z**2 + 1/45*z**6 + 1/10*z**5 + 1/9*z**3 + 2*z + 1/6*z**4 + 0. Solve o(n) = 0 for n.
-1, 0
Let k(h) be the second derivative of h**8/168 - 2*h**7/105 + h**6/60 + h**2 - 2*h. Let q(g) be the first derivative of k(g). Factor q(n).
2*n**3*(n - 1)**2
Let x = -159 + 161. Suppose 0*h**x - 1/3*h**4 + 0*h + 0*h**3 + 0 = 0. What is h?
0
Let k(c) be the third derivative of -3*c**2 + 1/240*c**5 + 0*c + 1/480*c**6 - 1/24*c**3 + 0 - 1/96*c**4. Let k(q) = 0. What is q?
-1, 1
Let c(y) = -y. Let q(o) = o**5 - 4*o**4 + 6*o**3 - 4*o**2 + 5*o. Let t(l) = -4*c(l) - q(l). Factor t(i).
-i*(i - 1)**4
Let d = 202 - 198. What is p in 1/4*p**2 + 0*p + 3/4*p**3 + 1/4*p**5 + 3/4*p**d + 0 = 0?
-1, 0
Let r be (1 + (-3)/(-15))/(14/35). Solve -4/5*z**2 - 6/5*z**r - 1/5*z**5 - 1/5*z + 0 - 4/5*z**4 = 0 for z.
-1, 0
Suppose -4*h - 23 + 123 = 0. Let g = h + -49/2. Let -3/2*f**5 - f - 1/2*f**4 + 0 + 5/2*f**3 + g*f**2 = 0. What is f?
-1, 0, 2/3, 1
Let f(z) be the second derivative of z**4/6 + 2*z**3/3 - 7*z. Suppose f(s) = 0. What is s?
-2, 0
What is u in -3/5*u**4 + 12/5 - 9/5*u**2 + 12/5*u - 12/5*u**3 = 0?
-2, -1, 1
Let m(y) = -y - 1. Let j be m(-7). Suppose -x = 2*x - j. Determine i so that 6*i**4 - 3*i**x - 2*i**5 + 6*i + 2 - 4*i**3 - i**2 - 4 = 0.
-1, 1
Let p(y) be the second derivative of -y**9/1680 + y**8/1120 - y**7/2520 + 2*y**4/3 + 4*y. Let l(h) be the third derivative of p(h). Find g, given that l(g) = 0.
0, 1/3
Let y = 77/2 + -381/10. Factor 1/5*q + 1/5*q**2 - y.
(q - 1)*(q + 2)/5
Suppose -3 + 12 = 3*v. Factor -1 - s**3 + 0*s**3 - 5*s + s - v*s**2 + s.
-(s + 1)**3
Let g(t) be the first derivative of t**3/6 + 7*t**2/6 + 4*t/3 - 11. Factor g(n).
(n + 4)*(3*n + 2)/6
Let g(t) be the third derivative of -t**8/4480 - t**7/5040 + t**6/864 - t**5/720 + t**4/8 - 6*t**2. Let c(k) be the second derivative of g(k). Solve c(o) = 0.
-1, 1/3
Let t(u) be the first derivative of 4/3*u + 5 - 5/12*u**4 + 2*u**2 + 1/3*u**3. Factor t(c).
-(c - 2)*(c + 1)*(5*c + 2)/3
Let x(r) = r**4 + r - 1. Let z(w) = 159*w**4 + 63*w**3 - 366*w**2 + 192*w - 36. Let f(q) = 12*x(q) - z(q). Let f(l) = 0. What is l?
-2, 2/7, 1
Let x(z) = -z**3 + z**2 - 4*z + 2. Let w(b) = 4*b**3 - 4*b**2 + 13*b - 7. Let g(j) = 2*w(j) + 7*x(j). Factor g(i).
i*(i - 2)*(i + 1)
Suppose -5*u = -2 - 13. Let s be (-1)/u + 3/9. Factor s - 2/3*q**3 - 4/3*q**2 - 2/3*q.
-2*q*(q + 1)**2/3
Let z(v) = -v**2 - 9*v - 3. Let u be z(-8). Determine d, given that 6*d**4 + 2*d**2 - 109 - 2*d**u + 109 - 6*d**3 = 0.
0, 1
Suppose 5 = o, c + 4*c - 5 = -o. Let q be (-6)/2 + (-39)/(-12). Factor 1/4*j**3 - q*j**4 + c*j**2 + 0*j + 0.
-j**3*(j - 1)/4
Let o(h) = -h**3 - 12*h**2 - 11*h + 5. Let m be o(-11). Suppose 2*t - 5*t = -2*q + 2, 1 = m*t + q. Factor -2/5*u**5 + 0*u**2 - 2/5*u**3 + 0 +