+ 3*o**2/5 + 10. Factor a(v).
2*v*(v - 3)*(v - 1)*(v + 1)/5
Let n(y) be the second derivative of y**5/150 - y**4/18 + 7*y**3/45 - y**2/5 - 20*y. Determine q, given that n(q) = 0.
1, 3
Determine o, given that -9/2 + 2*o**3 - 1/2*o**4 + o**2 - 6*o = 0.
-1, 3
Suppose 0 = -5*t - 0*t + 10. Let z = 5 - 3. Determine m so that -m**t + m**2 - m**z = 0.
0
Factor 1 - 80*s**3 + 3*s**4 - 4*s**4 + 168*s**3 - 2*s - 86*s**3.
-(s - 1)**3*(s + 1)
Let l(i) be the second derivative of -7*i**6/10 + 9*i**5/5 - 3*i**4/4 - i**3 - 12*i. Find r, given that l(r) = 0.
-2/7, 0, 1
Let t(d) = d**2 - 7*d + 9. Let z be t(6). Let q(i) be the third derivative of -1/60*i**5 - 1/6*i**4 + 0*i + 0 - 2/3*i**3 - z*i**2. Factor q(u).
-(u + 2)**2
Let v(r) be the second derivative of 1/48*r**4 - 1/12*r**3 + 1/8*r**2 + 2*r + 0. Factor v(s).
(s - 1)**2/4
Let h be (4/(-3))/(6/(-9)). Let d be ((1 - -2)/(-1))/(-1). Factor -3*u + 2*u**h + d*u.
2*u**2
Let n(d) be the first derivative of -1/8*d**2 + 0*d - 1 + 1/4*d**4 + 1/4*d**3. Determine b so that n(b) = 0.
-1, 0, 1/4
Suppose 0 = -33*g + 35*g - 6. What is s in 0 + 3/4*s**g + 29/4*s**4 + 0*s - 1/2*s**2 - 15*s**5 = 0?
-1/4, 0, 1/3, 2/5
Let c = -6 - -10. Solve -8*d**2 - 2*d**3 + d**2 + 3*d**2 + 8*d**c + 6*d**5 = 0.
-1, 0, 2/3
Let k be 13/20 - (-2)/(-8). Suppose -w = 2*w - 4*q + 12, 4*w + 15 = 5*q. Find c, given that w + 2/5*c**2 - k*c = 0.
0, 1
Let d be -3*(-4)/(-66) - (-6)/33. Determine w, given that 0*w + 1/2*w**2 + d = 0.
0
Factor -1/4*j**5 - 5/4*j + 3/2*j**3 - 3/4 + 1/4*j**4 + 1/2*j**2.
-(j - 3)*(j - 1)*(j + 1)**3/4
Let n be (-621)/(-78)*(-2)/30. Let t = -2/65 - n. Factor v**2 + v + 0 - t*v**4 - 3/4*v**3 + 1/4*v**5.
v*(v - 2)**2*(v + 1)**2/4
Let h be (-5)/(-2) + (-4)/8. Let l(n) be the first derivative of n - n**3 - 2 + 0*n - 2*n**h - 2*n. Factor l(r).
-(r + 1)*(3*r + 1)
Let s(q) = 9*q**4 + q**3 - 19*q**2 - 37*q - 18. Let m(y) = 6*y**4 + y**3 - 13*y**2 - 25*y - 12. Let f = 24 - 16. Let k(u) = f*m(u) - 5*s(u). Factor k(a).
3*(a - 2)*(a + 1)**3
Let z(i) be the first derivative of i**4/12 - 4*i**3/3 + 8*i**2 - 64*i/3 + 2. Factor z(j).
(j - 4)**3/3
Let u(q) be the first derivative of -4/3*q**3 + 2*q**2 + 5 + 8*q. Factor u(n).
-4*(n - 2)*(n + 1)
Let n(l) be the first derivative of 7 - 1/15*l**3 + 0*l**2 + 1/10*l**4 - 1/25*l**5 + 0*l. Factor n(i).
-i**2*(i - 1)**2/5
Let p = -3 + 5. Let u(d) be the third derivative of 0*d**3 - 1/60*d**5 - 2*d**p + 0*d + 0 + 1/24*d**4. Find k, given that u(k) = 0.
0, 1
Let u(d) = -d**2 + 5*d - 3. Let r be u(4). Let -c**2 + 3/2*c + r - 3/2*c**3 = 0. What is c?
-1, -2/3, 1
Let u be 279/45 + -5*1. Solve 0*v - 6/5*v**3 - u*v**4 - 2/5*v**2 + 0 - 2/5*v**5 = 0.
-1, 0
Let z = -3 - -4. Let c(r) be the third derivative of r**6/120 - r**4/24 + 4*r**2. Let k(n) = -2*n**3 + 2*n**2 + 3*n. Let a(w) = z*k(w) + 3*c(w). Factor a(v).
v**2*(v + 2)
Let l be (2/4)/((-1)/(-8)). Let 5*m**4 + 13*m**3 + 4*m**4 + 4*m + 12*m**2 + m**5 - 3*m**l = 0. What is m?
-2, -1, 0
Let -8/5*r - 4/5 - 1/5*r**3 - r**2 = 0. Calculate r.
-2, -1
What is g in 39*g**4 - 20*g**2 - 7*g - 34*g**4 - 5*g**3 + 27*g = 0?
-2, 0, 1, 2
Let d(p) = -p**5 + p**4 - 3*p**3 + 3*p**2 + 3. Let n(v) = 2*v**5 - 2*v**4 + 5*v**3 - 5*v**2 - 5. Let y(g) = -5*d(g) - 3*n(g). Solve y(k) = 0.
0, 1
Let j = 42 + -62. Let l = j + 24. Determine m, given that 0 - 6/5*m**l + 2*m**3 + 6/5*m**2 - 8/5*m**5 - 2/5*m = 0.
-1, 0, 1/4, 1
Let d(f) be the first derivative of -1/6*f**6 + 0*f**3 - 1/5*f**5 + 0*f**2 - 1 + 1/2*f**4 + 0*f. Find k, given that d(k) = 0.
-2, 0, 1
Let n = -130 - -521/4. Solve 0 + n*u + 1/4*u**2 = 0.
-1, 0
Let x(v) be the third derivative of -v**2 - 11/60*v**5 - 4/3*v**3 + 0 + 0*v + 1/2*v**4. Let w(f) = f**2 - f + 1. Let h(g) = 21*w(g) + 3*x(g). Factor h(p).
-3*(p - 1)*(4*p - 1)
Let b be 6/(-8)*4/(-90). Let f(h) be the second derivative of 1/10*h**5 - b*h**6 - 1/12*h**4 + 0*h**2 - h + 0*h**3 + 0. Factor f(y).
-y**2*(y - 1)**2
Let n = -167/180 - -23/20. Let b(d) = d + 6. Let y be b(-6). Factor 0*h**2 + 0*h**3 - n*h**4 + 0*h + y.
-2*h**4/9
Let o be 3*(2 + (-17)/9). Let v(t) be the first derivative of 1/3*t**3 - o*t + 1/3*t**2 + 3. Factor v(n).
(n + 1)*(3*n - 1)/3
Let s = 23/10 + -113/50. Let g(t) be the second derivative of 1/5*t**2 + s*t**5 + 0 - 2/15*t**3 + 0*t**4 - t - 1/75*t**6. Factor g(m).
-2*(m - 1)**3*(m + 1)/5
Suppose 2*r + 18 = 3*h - h, 3*r + 4*h - 1 = 0. Let a = -5 - r. Let a - 1/2*b**2 + 0*b - 1/2*b**3 = 0. Calculate b.
-1, 0
Factor -3/2*m**3 + 0 + 3/2*m + 0*m**2.
-3*m*(m - 1)*(m + 1)/2
Let m(i) be the second derivative of -i**4/3 - 2*i**3 - 4*i**2 + 6*i. Factor m(b).
-4*(b + 1)*(b + 2)
Let z be 2/8 - 5/(-12). Let m(w) = w**3 + w**2 - 6*w - 5. Let q be m(-2). Find g such that -5/3*g - 1/3*g**q + 4/3*g**2 + z = 0.
1, 2
Let y = 0 - -3. Find t such that y - 5*t**5 - 5*t**5 - 3 + 4*t**3 + 6*t**4 = 0.
-2/5, 0, 1
Let m(n) be the third derivative of n**9/332640 + n**5/60 - 4*n**2. Let x(h) be the third derivative of m(h). Suppose x(k) = 0. What is k?
0
Let -8*h**4 + 8*h - 20*h**3 + 28*h**2 - 4*h**4 - 4*h**4 = 0. Calculate h.
-2, -1/4, 0, 1
Factor -2/9*h**2 + 2/9*h + 4/9.
-2*(h - 2)*(h + 1)/9
Let h(l) be the first derivative of -25*l**3/9 - 5*l**2/3 - l/3 - 67. Factor h(j).
-(5*j + 1)**2/3
Suppose 5*a = 2*n + 21, -6*a + 3*a = 2*n - 19. Factor 1/2*h**n + 1/2*h + 0.
h*(h + 1)/2
Let w(g) be the third derivative of g**6/120 + g**5/120 - g**4/12 - 5*g**3/6 - 5*g**2. Let j(l) be the first derivative of w(l). Factor j(n).
(n + 1)*(3*n - 2)
Let n(i) be the third derivative of i**6/24 + i**5/12 - 25*i**4/24 + 5*i**3/2 + 19*i**2. Let n(j) = 0. Calculate j.
-3, 1
Factor -8*c + 8*c**3 + 2*c**3 - 10*c**4 + 2*c**3 + 2*c**3 + 16*c**2.
-2*c*(c - 2)*(c + 1)*(5*c - 2)
Let l = -8 - -11. Factor -8*p - 16*p**4 + 2 + 15*p**2 - 1 - 5*p**3 + 13*p**l.
-(p - 1)*(p + 1)*(4*p - 1)**2
Let x(l) be the first derivative of -1/6*l**4 + 2/15*l**5 + 0*l**2 + 0*l**3 + 0*l + 2. Factor x(w).
2*w**3*(w - 1)/3
Let k be 3 - (-1 + (-166)/(-42)). Let c(a) be the second derivative of 0 + 1/42*a**4 - k*a**3 + 2*a + 0*a**2. Find z such that c(z) = 0.
0, 1
Let s(h) be the third derivative of 7*h**5/60 - 7*h**4/24 + 2*h**3/3 - 2*h**2. Let u(a) = -8*a**2 + 8*a - 5. Let k(i) = 7*s(i) + 6*u(i). Factor k(l).
(l - 2)*(l + 1)
What is t in -t**4 + 21 + 3*t**2 - 25 + 5*t**2 - 3*t**4 = 0?
-1, 1
Let r(d) be the third derivative of 0 - 1/60*d**5 + 1/36*d**4 + 0*d**3 + 0*d - d**2 + 1/360*d**6. Let r(o) = 0. Calculate o.
0, 1, 2
Let q(s) = 9*s**2 - 4*s. Let u be (-1)/(-4) + (-158)/(-8). Suppose u = 4*w - 4. Let c(d) = 4*d**2 - 2*d. Let b(n) = w*q(n) - 13*c(n). Factor b(z).
2*z*(z + 1)
Let q(l) be the third derivative of 0*l + 0 + 1/15*l**5 + 1/12*l**4 + 0*l**3 - l**2 + 1/60*l**6. Factor q(p).
2*p*(p + 1)**2
Suppose -5*v + 4 = -6. Factor -2*s**2 - 3*s + s**2 + v*s.
-s*(s + 1)
Let o(w) be the third derivative of -w**9/9072 + w**7/1260 - w**5/360 - w**3/2 - w**2. Let c(l) be the first derivative of o(l). Factor c(i).
-i*(i - 1)**2*(i + 1)**2/3
Let n(z) be the third derivative of 3*z**8/15680 - z**7/5880 - z**6/840 - z**4/3 + 6*z**2. Let m(v) be the second derivative of n(v). Let m(t) = 0. Calculate t.
-2/3, 0, 1
Let u = 4 + -2. Suppose 26*d**2 - 6*d + 2 - u*d**3 + 0*d**3 - 20*d**2 = 0. What is d?
1
Let t be 5 - 4/(4/(-3)). Let q be 34/72 - 2/t. Suppose q*n**2 + 0 - 2/9*n = 0. Calculate n.
0, 1
Let z be (9/6)/((-3)/(-10)). Factor 8 - 8 - 6*w**3 + 3*w**z + 3*w.
3*w*(w - 1)**2*(w + 1)**2
Let s = 6 + -4. Let z be 3 + (11/55)/(4/(-50)). Factor -1/4*p - 1/4*p**3 - z*p**s + 0.
-p*(p + 1)**2/4
Let z be 0 + 6 + 126/(-24). Let -48*l**4 + 0 - 9*l**2 + 36*l**3 + z*l = 0. What is l?
0, 1/4
Suppose -7*c = -4*l - 3*c + 8, 3*l - 4*c - 6 = 0. Factor 4 - 5*z**2 - 4*z + 4*z**2 + l*z**2.
(z - 2)**2
Let r be (1/(-9))/((-5)/15). Let t be (-14)/(-6) + 1*-2. Find a such that 0 + r*a + t*a**4 - 1/3*a**3 - 1/3*a**2 = 0.
-1, 0, 1
Let m(u) be the first derivative of 2*u**3 - u**2 - 1. Let w = -116 - -108. Let r(i) = 2*i**2 - i. Let c(p) = w*r(p) + 3*m(p). Factor c(f).
2*f*(f + 1)
Let z(o) be the third derivative of -o**6/40 + 3*o**5/20 - 2*o**3 + 12*o**2. Factor z(m).
-3*(m - 2)**2*(m + 1)
Let j be (66/(-77))/(3/(-14)). Find f such that -2*f**3 - 9*f**j - 6*f + 9*f**5 - f**3 - 15*f**2 + 24*f**4 = 0.
-1, -2/3, 0, 1
Let c = 7 - 5. Suppose -c*k + 1 = -5. Let -2 - q**4 