the second derivative of y**4/6 - 2*y**3/3 - 6*y. Factor s(j).
2*j*(j - 2)
Let a(m) be the third derivative of -m**7/945 + m**6/540 + m**5/270 - m**4/108 + 3*m**2. Factor a(x).
-2*x*(x - 1)**2*(x + 1)/9
Let t(s) be the first derivative of -1/18*s**4 - 2 + 8/27*s**3 + 0*s - 4/9*s**2. Suppose t(r) = 0. What is r?
0, 2
Let b(n) be the first derivative of -3*n**5/5 - 9*n**4/14 + n**3/7 + 14. Factor b(t).
-3*t**2*(t + 1)*(7*t - 1)/7
Let h = 13 - 12. Let u(p) = p**3 - p. Let f(b) = -b**4 + 3*b**3 + b**2 - 3*b. Let w(j) = h*f(j) - 3*u(j). Factor w(z).
-z**2*(z - 1)*(z + 1)
Suppose -4 = -5*o + 3*o. Determine t so that -4/5*t - 2/5 - 2/5*t**o = 0.
-1
Let -48/11*t - 14/11*t**4 - 8/11 - 60/11*t**3 - 86/11*t**2 = 0. Calculate t.
-2, -1, -2/7
Let y(f) = 3*f**3 + 6*f**2 + f - 2. Let w(o) = 3*o**3 + 6*o**2 - 3. Let a(s) = -2*w(s) + 3*y(s). Find z, given that a(z) = 0.
-1, 0
Suppose -5*f = -9*f. Factor -3*l**3 + l - 3*l + 5*l**3 + f*l**3.
2*l*(l - 1)*(l + 1)
Suppose -5*c = -g - 15, -g + 2*c + 6 = 18. Let z(w) = w**3 + 10*w**2 + w + 13. Let m be z(g). Factor -i + 4*i - i**3 + 2 + 0*i**m.
-(i - 2)*(i + 1)**2
Suppose 4*r**2 - 18*r + 10 + 3 - 17 + 18*r**3 = 0. What is r?
-1, -2/9, 1
Suppose 3*l - 1 = -b - b, -5*l + 2*b + 23 = 0. Let y(h) be the second derivative of 7/12*h**4 + 5/6*h**l - 3*h + 0 - h**2. Factor y(x).
(x + 1)*(7*x - 2)
Let z = -11/18 + 10/9. Let r = -71/2 - -36. Factor -z*d**5 + d**3 + 1/2*d**4 + 1/2 - d**2 - r*d.
-(d - 1)**3*(d + 1)**2/2
Let r be 1/(-3)*(2 - -19). Let j = r + 12. Let 9/4*l**4 + 0*l + 7/4*l**j + 1/2*l**3 + 0 + 0*l**2 = 0. What is l?
-1, -2/7, 0
Let m(d) = 5*d**2 + 13*d**3 - 12*d**3 - d - 6*d**4 - 6*d - 2. Let o(z) = -5*z**4 + 2*z**3 + 4*z**2 - 6*z - 1. Let y(x) = 2*m(x) - 3*o(x). Factor y(g).
(g - 1)**2*(g + 1)*(3*g - 1)
Let a(t) be the first derivative of 4/3*t**3 + 0*t - 5 - t**4 + 4*t**2. Determine v so that a(v) = 0.
-1, 0, 2
Let m = -6 + 11. Let h(v) = -4*v**2 + v. Let a(s) = 7*s**2 - 2*s. Let i(y) = m*h(y) + 3*a(y). Factor i(f).
f*(f - 1)
Let z be 1/(-4) - 13/(-4). Let l be (z/6)/(15/6). Factor 0 - l*h - 1/5*h**4 + 1/5*h**3 + 1/5*h**2.
-h*(h - 1)**2*(h + 1)/5
Let t(o) = -o**3 + o**2 - 1. Let p(l) = 6 + 7*l + 10*l**3 - 11*l - 10*l**2 + l - 2*l**3 + 4*l**4. Let b(y) = -p(y) - 5*t(y). Factor b(r).
-(r - 1)*(r + 1)**2*(4*r - 1)
Let c = -89/296 - 12/37. Let a = c - -7/8. What is s in 0*s - a*s**5 + 0 + 1/4*s**2 + 3/4*s**4 - 3/4*s**3 = 0?
0, 1
Let q(c) = -4*c**3 - 5*c**2 - c - 9. Let j(o) = o**3 + o**2 + 2. Let n(t) = -9*j(t) - 2*q(t). Factor n(s).
-s*(s - 2)*(s + 1)
Suppose 1 - 2*m - 2*m**5 - 5 + 4*m**3 + 4 = 0. Calculate m.
-1, 0, 1
Find g, given that 1/5*g**4 + 0 + 3/5*g**3 + 1/5*g + 3/5*g**2 = 0.
-1, 0
Let n(b) = -2*b - 2. Let v be n(-3). Factor v - 6*p**4 - 10*p**3 - 8 - 4*p**2 + 4.
-2*p**2*(p + 1)*(3*p + 2)
Let v be 3 + (-3)/(-6)*(-26)/5. Factor 0 + 2/5*m - v*m**2.
-2*m*(m - 1)/5
Let i = 161/3 - 53. Let q(n) be the second derivative of -1/30*n**6 - 1/2*n**2 + 0 + 2*n - i*n**3 - 1/5*n**5 - 1/2*n**4. Solve q(a) = 0 for a.
-1
Let p(c) be the second derivative of -c**6/10 + 9*c**5/20 - 3*c**4/4 + c**3/2 - 10*c. Factor p(h).
-3*h*(h - 1)**3
Factor 2/3*t**5 + 0 - 4/9*t + 2/3*t**3 - 2/3*t**2 + 14/9*t**4.
2*t*(t + 1)**3*(3*t - 2)/9
Let q(o) = -o**2 - 15*o - 18. Let x be q(-13). Suppose -15*v**2 + 8*v**5 + v**5 + x*v**3 + 21*v**4 - 11*v**3 - 6*v - 6*v**4 = 0. Calculate v.
-1, -2/3, 0, 1
Let d(i) = 8*i**4 + 6*i**3 + 10*i - 6. Let y(k) = 7*k**4 + 5*k**3 - k**2 + 9*k - 5. Let b(u) = -5*d(u) + 6*y(u). Suppose b(t) = 0. Calculate t.
-2, 0, 1
Let s be 3/9 + (-7712)/15. Let q = 517 + s. Factor 2/5*u**3 + 24/5*u - 12/5*u**2 - q.
2*(u - 2)**3/5
Let p = -6 - 0. Let f be (-4)/p + (-70)/(-75). Factor f*s + 6/5*s**2 + 2/5.
2*(s + 1)*(3*s + 1)/5
Factor 24/7 - 3/7*f**2 - 6/7*f.
-3*(f - 2)*(f + 4)/7
Factor 6/11 + 46/11*r - 32/11*r**3 + 80/11*r**2.
-2*(r - 3)*(4*r + 1)**2/11
What is i in 6*i**4 - i**5 + i**2 + 2*i**2 - 9*i**4 - i**3 + 2*i = 0?
-2, -1, 0, 1
Let b(j) = j**2 - 1. Let g be b(-2). Suppose -9*a + 8*a + g = 0. Factor -1/3*n**5 - n**a - 1/3*n**2 + 0 + 0*n - n**4.
-n**2*(n + 1)**3/3
Let a(l) = 4*l - 4. Let q be a(-7). Let j(g) = 12*g**2 - 32*g - 12. Let w(z) = z**2 - 3*z - 1. Let d(p) = q*w(p) + 3*j(p). Factor d(c).
4*(c - 1)*(c + 1)
Suppose 9*u + 45 - 63 = 0. Let -3/5*m**3 + 2/5*m**4 + 0 + 1/5*m**u + 0*m = 0. Calculate m.
0, 1/2, 1
Let c(a) be the second derivative of 0*a**2 + 1/10*a**4 + 0 - 4*a + 3/100*a**5 + 1/10*a**3. Factor c(j).
3*j*(j + 1)**2/5
Let i(z) = -8*z**3 + 5*z**2 + 3*z. Let o(n) = -2*n - 6. Let s be o(-5). Let x(u) = 3*u**3 - 2*u**2 - u. Let a(w) = s*i(w) + 11*x(w). Factor a(g).
g*(g - 1)**2
Let d(z) = z**4 - z**3 - z**2. Let f(h) = 8*h**4 + 28*h**3 + 21*h**2 + 4*h. Let q(s) = d(s) + f(s). Determine a, given that q(a) = 0.
-2, -2/3, -1/3, 0
Let j(i) be the first derivative of -i**4/12 - i**3/3 - i**2/2 - 3*i - 3. Let h(y) be the first derivative of j(y). Factor h(u).
-(u + 1)**2
Let u(z) be the second derivative of z**4/14 - z**3/7 - 8*z. Factor u(r).
6*r*(r - 1)/7
Let z(i) be the third derivative of -i**4/24 + i**3/3 + i**2. Let r be z(-3). Factor -m**3 - r*m**3 - m**4 + 4*m**3.
-m**3*(m + 2)
Let k(c) be the first derivative of 0*c + 3 - 1/84*c**4 + 0*c**3 + 1/210*c**5 - 1/2*c**2. Let d(v) be the second derivative of k(v). Factor d(z).
2*z*(z - 1)/7
Let q(g) be the first derivative of -g**3/12 - g**2/4 + 12. Factor q(i).
-i*(i + 2)/4
Let q(m) = m**3 - m**2 - 2*m + 2. Let s = 7 + -5. Let x be q(s). Find z such that 3*z**4 + z**3 - z**2 - z + 0*z**4 - x*z**2 = 0.
-1, -1/3, 0, 1
Let b be 17/6 - (-11)/66. Let t(z) be the second derivative of -1/16*z**4 - 1/24*z**b + 0*z**2 + 1/20*z**5 - z + 0. Factor t(y).
y*(y - 1)*(4*y + 1)/4
Factor 0 - 2/11*k**2 - 2/11*k.
-2*k*(k + 1)/11
Let a be 2/(-7) + 44/7. Factor y**3 - a + 2*y + y + 3*y**2 + 7.
(y + 1)**3
Let d(b) be the third derivative of 0*b + 1/60*b**6 - 1/3*b**3 + 1/4*b**4 - 1/10*b**5 + 0 + 4*b**2. Solve d(f) = 0 for f.
1
Let v(m) be the second derivative of -m**7/7 - 17*m**6/70 + 9*m**5/70 + m**4/4 - m**3/7 + 34*m. Find k, given that v(k) = 0.
-1, 0, 2/7, 1/2
Let x = -15 - -19. Let y(p) be the first derivative of -2/3*p + 5/12*p**x - 1 + 3/2*p**2 - 4/3*p**3. Find q such that y(q) = 0.
2/5, 1
Let k(q) be the third derivative of 0*q + q**2 + 1/150*q**5 - 1/300*q**6 + 0 + 0*q**3 + 0*q**4. Factor k(n).
-2*n**2*(n - 1)/5
Let d(g) = g**2 - g + 1. Let r(n) = 9*n**2 - 9*n + 6. Let h(z) = 6*d(z) - r(z). Let h(l) = 0. Calculate l.
0, 1
Let v(b) be the first derivative of -2*b**6/9 - 2*b**5/3 + 20*b**3/9 + 10*b**2/3 + 2*b + 13. Solve v(y) = 0 for y.
-1, 3/2
Let p(s) be the first derivative of 1 + 7/3*s**2 - 4/3*s - 10/9*s**3. Find n, given that p(n) = 0.
2/5, 1
Let x = -9484938/119 - -79706. Let g = -6/17 + x. Solve g - 6/7*v - 10/7*v**2 + 24/7*v**5 - 64/7*v**4 + 54/7*v**3 = 0.
-1/3, 1/2, 1
Let k be 3/(-6) + (-31)/2. Let x = -13 - k. Solve 1 + 3/2*w - 1/2*w**x + 0*w**2 = 0 for w.
-1, 2
Let i(q) be the first derivative of q**4/9 - 16*q**3/27 + 2*q**2/3 - 10. Factor i(p).
4*p*(p - 3)*(p - 1)/9
Let v(p) = -11*p - 7*p + 3*p**3 - 11*p + 21*p**2 + 5*p + 12. Let t(s) = s**3 + s**2. Let a(h) = 6*t(h) - v(h). Factor a(o).
3*(o - 2)**2*(o - 1)
Let i(p) be the third derivative of -p**7/210 + 4*p**2. Suppose i(y) = 0. What is y?
0
Let v(s) be the third derivative of 3*s**2 + 0*s + 1/9*s**4 + 1/90*s**6 + 0 - 1/18*s**5 - 1/9*s**3. Factor v(b).
2*(b - 1)**2*(2*b - 1)/3
Let q(c) be the second derivative of 4*c**6/75 + 3*c**5/10 + 8*c**4/15 + c**3/5 - 2*c**2/5 - 3*c. Determine y, given that q(y) = 0.
-2, -1, 1/4
Let q(a) be the first derivative of a**4/8 - a**3/3 - a**2/4 + a + 1. Factor q(r).
(r - 2)*(r - 1)*(r + 1)/2
Let o(h) be the third derivative of 8*h**2 + 0*h + 1/480*h**5 + 0 - 1/16*h**3 + 1/96*h**4. Factor o(g).
(g - 1)*(g + 3)/8
Let h(y) be the first derivative of -y**5/40 + y**4/12 - y**3/12 - 4*y + 2. Let l(m) be the first derivative of h(m). Factor l(d).
-d*(d - 1)**2/2
Let o(a) = -16*a**3 - 12*a**2 + 4. Let u(f) = -15*f**3 - 13*f**2 + f + 5. Let b(g) = -3*o(g) + 4*u(g). Factor b(c).
-4*(c + 1)**2*(3*c - 2)
Suppose y = -13*y + 28. What is m in 1/2 + 1/2*m**y - m = 0?
1
Let t = -2/131 + 663/524. Factor 7/4*g**2 + 3/4*g**3 + 1/4 + t*g.
(g + 1)**2*(3*g + 1)/4
Let l = 67 + -67. Factor -14/9*w**2