*x**7 + 0*x - 1/504*x**8 + 1/90*x**5 + 0*x**4 + 1/180*x**6 - 4*x**2 + 0*x**3. Let c(o) = 0. Calculate o.
-1, 0, 1
Let a(y) be the first derivative of 0*y - 1/30*y**4 - 3 + 0*y**3 + y**2 + 1/150*y**5. Let s(c) be the second derivative of a(c). Factor s(v).
2*v*(v - 2)/5
Let t be 2 + -4 - (-12 - -4). Let -4 + 5*v**2 - 3*v**2 - t*v - v**3 + 7*v**3 + 2*v**4 = 0. What is v?
-2, -1, 1
Let u(y) be the third derivative of -y**10/50400 + y**9/40320 + y**8/4480 + 2*y**5/15 + 9*y**2. Let z(n) be the third derivative of u(n). Factor z(s).
-3*s**2*(s + 1)*(2*s - 3)/2
Let g(d) = d**2 - d + 1. Let l(r) = 6*r**2 + 6*r + 3. Let y(i) = 3*g(i) - l(i). Let o(t) = 3*t**2 + 9*t. Let p(u) = -6*o(u) - 7*y(u). What is f in p(f) = 0?
-3, 0
Let l(d) = -d**3 + d. Let z be l(1). Let s(g) be the second derivative of 1/105*g**7 - 1/50*g**5 + 0*g**2 - 2*g + 0 + 0*g**4 + 0*g**6 + z*g**3. Factor s(u).
2*u**3*(u - 1)*(u + 1)/5
Factor -5*j**2 + 3*j**2 + 4*j - 10*j**2 - 10*j**2.
-2*j*(11*j - 2)
Let a(k) be the first derivative of 2/9*k**3 - 3 - 1/6*k**2 + 1/12*k**4 - 2/3*k. Factor a(r).
(r - 1)*(r + 1)*(r + 2)/3
Let m(w) be the first derivative of 5 + 0*w + 3/20*w**5 - 9/16*w**4 + 3/2*w**2 + 0*w**3. What is h in m(h) = 0?
-1, 0, 2
Let g(b) = -8*b**2 - 5*b + 3. Let h(z) = 9*z + 16*z**2 + 7*z**2 - 6 - 8*z**2. Let p(j) = -9*g(j) - 5*h(j). Determine m so that p(m) = 0.
-1, 1
Let r(f) = 4*f**5 + f**4 - 2*f**2 + 5*f - 5. Let w(g) = -g**5 - g**4 - g**3 - g + 1. Let c(u) = 3*r(u) + 15*w(u). Factor c(y).
-3*y**2*(y + 1)**2*(y + 2)
Suppose 0 = 3*b - 2 - 7. Let z be 1/(-7)*(1 - b). Let -z*d**2 - 4/7 - 6/7*d = 0. What is d?
-2, -1
Let a be (-4)/(-14) - (-2)/7. Let l(k) be the first derivative of -2 + 2/7*k**4 - 2/7*k - 4/7*k**3 - 2/35*k**5 + a*k**2. Factor l(p).
-2*(p - 1)**4/7
Let q = 173/4 - 43. Let a = -11 - -45/4. Factor a*n**2 + 0 - 1/4*n**3 - 1/4*n**4 + q*n.
-n*(n - 1)*(n + 1)**2/4
Factor -n - 2*n**4 - 5*n**3 + n + 4*n**3 + 3*n**5.
n**3*(n - 1)*(3*n + 1)
Factor -24*m - 16 - 4*m**2 - m**2 - 20 + m**2.
-4*(m + 3)**2
Let k(o) be the first derivative of -3*o**2 + 4/3*o**3 + 2*o - 3. Find l, given that k(l) = 0.
1/2, 1
Let x(p) = -2*p**4 - 10*p**3. Let f(v) = 3*v**4 + 20*v**3. Let s(l) = -4*f(l) - 7*x(l). Factor s(c).
2*c**3*(c - 5)
Let v be (2/(-12))/((-3)/12). Let i(p) be the first derivative of 2/5*p**5 + 0*p**2 + 1 + 0*p - v*p**3 + 0*p**4. Suppose i(r) = 0. Calculate r.
-1, 0, 1
Let m(w) be the first derivative of 3*w**4/4 + w**3 - 36. Factor m(k).
3*k**2*(k + 1)
Suppose -5 = r - 6*u + 4*u, -5*r + 5*u = 0. Suppose 2*n = r*n. Let 0*s**4 - 2/7*s**5 - 2/7*s + 0*s**2 + 4/7*s**3 + n = 0. What is s?
-1, 0, 1
Suppose 0 = 4*q - 2*m - 8, 2*q - q = 4*m + 16. Let r be ((-4)/(-2))/4 - q. Factor 0*a + 1/2*a**4 + 0*a**3 - r*a**2 + 0.
a**2*(a - 1)*(a + 1)/2
Suppose -5*w = -8 - 7. Let x be (-2)/w*(-6)/8. Let 0 + 1/2*r + x*r**2 = 0. Calculate r.
-1, 0
Let f be (10/(-4))/((-5)/4). Let 34*x**3 + 2*x**4 + 16*x - 6 - 34*x**3 - 12*x**f = 0. Calculate x.
-3, 1
Let p(c) be the first derivative of -14*c**3/27 + 44*c**2/9 - 8*c/3 + 13. Suppose p(m) = 0. Calculate m.
2/7, 6
Let t(m) = -m + 3. Let c be t(-1). Let p(s) be the first derivative of 0*s**c + 0*s**2 + 2/3*s + 2/15*s**5 - 4/9*s**3 + 2. Find r such that p(r) = 0.
-1, 1
Suppose -2*g = 2 - 8. Suppose 0 = g*x - 4*x - 5*n, 2*x - 2*n = 24. Solve -2 - 1 - 2*h - 20*h**2 - x*h**3 + 7 + 4*h**2 = 0 for h.
-1, 2/5
Let f = -1 + 4. Let u be ((-1)/f)/((-35)/30). Factor 6/7*r + u + 2/7*r**3 + 6/7*r**2.
2*(r + 1)**3/7
Let t(b) be the first derivative of b**4/10 + 2*b**3/5 + 3*b**2/5 + 2*b/5 + 16. Factor t(c).
2*(c + 1)**3/5
Let l(x) = x**3 - x**2 + x. Let b(h) = -7*h**3 + 13*h**2 - 5*h. Let p(i) = b(i) + 5*l(i). Factor p(j).
-2*j**2*(j - 4)
Let g(l) be the third derivative of l**6/660 - l**5/165 - 7*l**4/132 - 4*l**3/33 - 30*l**2. Factor g(z).
2*(z - 4)*(z + 1)**2/11
Let t(g) be the second derivative of g**7/84 - g**6/10 + g**5/8 - g - 4. Factor t(k).
k**3*(k - 5)*(k - 1)/2
Let w = 71/5 - 14. Determine z, given that 3/5*z**2 + 2/5 - w*z**4 - 1/5*z**3 + z = 0.
-1, 2
Factor -1/6 + 1/6*w**3 - 1/6*w + 1/6*w**2.
(w - 1)*(w + 1)**2/6
Let p(g) be the third derivative of -g**5/60 - 3*g**4/4 - 27*g**3/2 - 55*g**2. Solve p(q) = 0 for q.
-9
Suppose -8 = -3*y - y. Factor -5*u**y + 2*u**2 + u**3 + u**4 - u + 2*u**2.
u*(u - 1)*(u + 1)**2
Factor 1/4*n**3 - 1/4*n + 1/2 - 1/2*n**2.
(n - 2)*(n - 1)*(n + 1)/4
Let k(b) be the second derivative of -5*b**4/12 + 10*b**2 - 22*b. Factor k(i).
-5*(i - 2)*(i + 2)
Determine y, given that 0*y + 2/9*y**5 + 0*y**2 - 2/9*y**4 - 4/9*y**3 + 0 = 0.
-1, 0, 2
Let q be 9/2*(5 - 3). Let h = 11 - q. Suppose -2/5*b**h + 0 - 4/5*b = 0. What is b?
-2, 0
Let r(b) be the second derivative of -1/21*b**3 + 1/70*b**5 + 1/21*b**4 - 2/7*b**2 + 0 - b. Factor r(v).
2*(v - 1)*(v + 1)*(v + 2)/7
Let o(x) be the second derivative of 0*x**3 + 2*x**2 - x + 0 + 0*x**4 + 3/20*x**5. Let l(p) = 2*p**3 + 3. Let z(a) = -4*l(a) + 3*o(a). Factor z(f).
f**3
Let v(u) be the third derivative of -u**5/12 + 10*u**3/3 - 11*u**2. Determine b, given that v(b) = 0.
-2, 2
Let r be 2/(-6) - 112/(-21). Suppose 3*z - 3 + 0 = -5*v, -r*v = -z - 19. Factor 1/4*t**v - 1/4*t + 1/4*t**2 + 0 - 1/4*t**4.
-t*(t - 1)**2*(t + 1)/4
Let u = 330 - 2306/7. Let y(f) = f**2 + 4*f + 3. Let g be y(-3). Factor 2/7*s + 2/7*s**3 + g - u*s**2.
2*s*(s - 1)**2/7
Let w(b) be the second derivative of -b**5/10 - b**4/2 - 2*b**3/3 + 4*b. Factor w(v).
-2*v*(v + 1)*(v + 2)
Let g(v) be the third derivative of v**8/40320 + v**7/10080 - 7*v**5/60 - 2*v**2. Let l(y) be the third derivative of g(y). Factor l(b).
b*(b + 1)/2
Let r(o) be the third derivative of 1/300*o**6 + 0*o + 4*o**2 + 1/30*o**4 + 1/50*o**5 + 0*o**3 + 0. Let r(l) = 0. Calculate l.
-2, -1, 0
Let a be 1/(-7)*112/160*-4. Factor 2/5 + a*o**2 - 4/5*o.
2*(o - 1)**2/5
Let n be 11/3 - 4/6. Solve -8 + 3*v + 6*v**2 + 5 - 3*v**2 - n*v**3 = 0 for v.
-1, 1
Let x(r) be the third derivative of r**6/1080 + r**5/180 - 2*r**3/27 + 5*r**2. Suppose x(i) = 0. What is i?
-2, 1
Let t(f) = f**2 + 4*f. Let a(y) = -y**2 + 7*y - 7. Let l be a(5). Let o be 2/4*0 + -4. Let d(z) = z**2 + 3*z. Let h(n) = l*t(n) + o*d(n). Factor h(r).
-r**2
Let q(m) be the second derivative of -8*m**7/21 + 12*m**6/5 + 39*m**5/20 + 5*m**4/12 - 38*m. Factor q(l).
-l**2*(l - 5)*(4*l + 1)**2
Let x(q) = -3*q**2 + 44*q + 15. Let b be x(15). Factor -2/3*l**4 + 32/3 + b*l**2 + 8/3*l**3 - 32/3*l.
-2*(l - 2)**3*(l + 2)/3
Let l(s) = -s - 9. Let o be l(-6). Let b(p) = -p**4 - p**3. Let y(m) = 3*m**4 + 2*m**3 - m**2. Let j(k) = o*y(k) - 6*b(k). Determine u, given that j(u) = 0.
-1, 0, 1
Let -4 + 8*l - l**3 + 3*l**4 - 10*l**4 - 3*l**2 + 8*l**4 - l**3 = 0. Calculate l.
-2, 1, 2
Let n be ((-2)/(-6))/(13/78). Factor -8*h**n + 8/3*h + 0 + 20*h**4 + 50/3*h**5 - 22/3*h**3.
2*h*(h + 1)**2*(5*h - 2)**2/3
Let p(x) be the third derivative of x**8/1008 + x**7/315 + x**6/360 - 7*x**2. Find q, given that p(q) = 0.
-1, 0
Let q(v) be the first derivative of -v**4/14 + 2*v**3/21 + 4*v**2/7 - 8*v/7 - 7. Factor q(g).
-2*(g - 2)*(g - 1)*(g + 2)/7
Let z(y) be the first derivative of 3*y**5/20 + y**4/4 - y**3/3 + 2. Find a, given that z(a) = 0.
-2, 0, 2/3
Suppose 2*w = 5*w - 5*k + 14, -3*k = 3*w - 18. Find z, given that 4/5*z**w + 0 - 2/5*z**3 - 2/5*z**4 + 0*z = 0.
-2, 0, 1
Find h such that -22/3*h**5 - 62/3*h**4 + 4/3*h - 10/3*h**2 - 18*h**3 + 0 = 0.
-1, 0, 2/11
Let f(y) be the first derivative of y**6/3 + 4*y**5/5 + y**4/2 - 7. Factor f(o).
2*o**3*(o + 1)**2
Let w(d) be the first derivative of d**5/50 + d**4/10 + d**3/5 + d**2/5 + d - 1. Let u(x) be the first derivative of w(x). Factor u(k).
2*(k + 1)**3/5
Let k(w) = -w**2 + w + 1. Let i(p) = 1. Let s(g) = 2*i(g) - 2*k(g). Solve s(c) = 0.
0, 1
Let v be 0 - 1*(2 + -4). Suppose -2/5*x**v + 0*x + 2/5 = 0. What is x?
-1, 1
Suppose -8*o + 15 = -3*o. Let -4*k**4 + 2*k**4 + 4*k**o - 2*k**5 - 2 - 2*k + 0*k + 4*k**2 = 0. Calculate k.
-1, 1
Let j(c) be the first derivative of c**4/4 + c**2/2 - c - 3. Let z(m) = -5*m**3 + m**2 - 8*m + 6. Let f(t) = 6*j(t) + z(t). Factor f(w).
w*(w - 1)*(w + 2)
Let m = -24 + 26. Factor -2*h**2 + 1 + h**4 - 2*h**4 + m*h**4.
(h - 1)**2*(h + 1)**2
Find t, given that 5/6*t**3 + 2/3 + 1/6*t**4 - 2/3*t - 1/6*t**5 - 5/6*t**2 = 0.
-2, -1, 1, 2
Let l(n) be the first derivative o