 0*b + 0*b**3. Factor z(v).
v**2*(v + 1)/3
Let u(o) = -8*o**3 - 40*o**2 - 48*o - 11. Let c(p) = 2*p**3 + 10*p**2 + 12*p + 3. Let s(m) = 22*c(m) + 6*u(m). Let s(l) = 0. Calculate l.
-3, -2, 0
Let z(y) = 28*y**3 + 244*y**2 + 384*y + 148. Let x(b) = 4*b**3 + 35*b**2 + 55*b + 21. Let d(c) = 20*x(c) - 3*z(c). Factor d(g).
-4*(g + 1)**2*(g + 6)
Let i = 3 - 1. Let -6*k + 7*k + 3*k**i + 3 - 7 + 3*k = 0. Calculate k.
-2, 2/3
Let z(f) be the second derivative of f**9/7560 + f**3/2 + 6*f. Let u(h) be the second derivative of z(h). Factor u(i).
2*i**5/5
Factor 4*g**4 - 86*g**5 + 0*g**4 + 84*g**5.
-2*g**4*(g - 2)
Let w(y) be the second derivative of -y**4/36 - 4*y**3/3 - 24*y**2 - 22*y + 1. Let w(x) = 0. What is x?
-12
Suppose -3/8*a**3 - 21/2*a**5 + 177/4*a**2 + 3/2*a - 3 - 255/8*a**4 = 0. Calculate a.
-2, -2/7, 1/4, 1
Let i(o) = -o. Let g be i(-6). Let p be (-2)/g - (-10)/3. Determine f so that p*f**3 + f**3 - 3*f**3 - f = 0.
-1, 0, 1
Let h be (-4 - -1)*(-2)/75. Let z(c) be the first derivative of -6/5*c**3 - h*c**5 - 7/5*c**2 - 1/2*c**4 + 2 - 4/5*c. Factor z(j).
-2*(j + 1)**3*(j + 2)/5
Factor 22*g**2 - 4*g**3 + 8 - 10*g**2 - 8 + 16*g.
-4*g*(g - 4)*(g + 1)
Suppose -21*o**4 - 6*o + 36*o**2 - 10*o + 6*o + 18*o**3 - 14*o - 9*o**5 = 0. Calculate o.
-2, 0, 2/3, 1
Let s(h) be the second derivative of -8*h**3 + 3*h**4 - h**2 + 0*h**2 + 9*h**2 - 7*h. Factor s(a).
4*(3*a - 2)**2
Let o(s) = 11*s - 8. Let m be o(1). Factor 5/4*b**5 + 3*b**4 - 1/2 - 5/2*b**2 - 9/4*b + b**m.
(b - 1)*(b + 1)**3*(5*b + 2)/4
Let k(a) be the first derivative of 28*a**5/5 + 12*a**4 + 4*a**3 - 4*a**2 + 2. Solve k(b) = 0.
-1, 0, 2/7
Let k(n) = -3*n**4 + 3*n**3 - 6*n**2 + 4*n + 2. Let y(j) = 10*j**4 - 8*j**3 + 17*j**2 - 12*j - 7. Let q(x) = 7*k(x) + 2*y(x). Find t, given that q(t) = 0.
0, 1, 2
Suppose 3*h = 2*h - q + 7, 0 = -3*h + 5*q - 11. Factor 1/3*x**h + 1/3 - 1/3*x**2 - 1/3*x.
(x - 1)**2*(x + 1)/3
Let w(r) be the second derivative of r**9/7560 - r**7/2100 + r**3 - 2*r. Let s(x) be the second derivative of w(x). Factor s(g).
2*g**3*(g - 1)*(g + 1)/5
Let o(h) be the third derivative of -h**7/1260 + h**6/180 - h**5/60 - 5*h**4/24 + 5*h**2. Let z(k) be the second derivative of o(k). Factor z(v).
-2*(v - 1)**2
Let y be (-4)/(-6) + 30/9. Let u be 10 + -2 - (-2 + y). Factor -u*m**2 + 3 + 4*m**2 + 1 + 6*m + 4*m**2.
2*(m + 1)*(m + 2)
Let g be 153/(-34)*(-4)/6. Factor 3/4*l**2 + 1/4*l**4 - 3/4*l**g - 1/4*l + 0.
l*(l - 1)**3/4
Let q(h) be the first derivative of 4*h**5/5 - 12*h**4 + 208*h**3/3 - 192*h**2 + 256*h + 16. Factor q(u).
4*(u - 4)**2*(u - 2)**2
Factor 0 + 3/8*f**3 + 3/8*f - 3/4*f**2.
3*f*(f - 1)**2/8
Let h(f) be the first derivative of -f**6 + 16*f**5/5 - 2*f**4 - 16. Let h(x) = 0. What is x?
0, 2/3, 2
Let y(n) be the first derivative of -3/10*n**5 - 9/8*n**4 + 3*n + 6 - 1/2*n**3 + 9/4*n**2. Find p such that y(p) = 0.
-2, -1, 1
Let l(f) be the first derivative of -1/6*f**3 + 3/4*f**2 - f - 2. Factor l(u).
-(u - 2)*(u - 1)/2
Let v(t) be the third derivative of t**5/30 + t**4/6 + t**3/3 + 6*t**2. Factor v(p).
2*(p + 1)**2
Let q(k) be the second derivative of 0*k**5 + 0*k**3 + 6*k + 0 + 1/30*k**4 - 1/75*k**6 + 0*k**2. Factor q(u).
-2*u**2*(u - 1)*(u + 1)/5
Factor -2/5*q**4 + 2/5*q**3 + 2/5*q**2 + 0 - 2/5*q.
-2*q*(q - 1)**2*(q + 1)/5
Let m = -75 + 78. Let a = 3 + 0. Factor -3*p + 3 - 6*p**a + 7*p**m - 1.
(p - 1)**2*(p + 2)
Factor v**2 - 18*v - 5 + 13*v + 9.
(v - 4)*(v - 1)
Let w = -10 + 30. Suppose -2*a = a, -4*a + w = 5*f. Solve d**2 - f*d**2 - d + 3*d**3 + 2*d - d**4 = 0.
0, 1
Let o(x) = 2*x - 14. Let m be o(8). Let z(h) be the first derivative of -1 + m*h**2 + 0*h + 1/5*h**5 + 8/3*h**3 + 5/4*h**4. Factor z(f).
f*(f + 1)*(f + 2)**2
Suppose -10*x = -12*x + 8. Suppose 3*c = x*c. Suppose 0*k**4 - 2/3*k**3 + 1/3*k**5 + c*k**2 + 0 + 1/3*k = 0. What is k?
-1, 0, 1
Let v(s) = s**3 + 11*s**2 + 21*s - 11. Let i(t) = 2*t**2 + 4*t - 2. Let d(h) = -11*i(h) + 2*v(h). Determine l, given that d(l) = 0.
-1, 0, 1
Find o such that 16 - 21*o**2 + 10*o - 28 - 9*o - 49*o = 0.
-2, -2/7
Let o = -5 - -8. Let b be 1/(o/((-12)/(-2))). Factor -z**3 + b*z + z**2 - 2*z - 2*z**2.
-z**2*(z + 1)
Suppose 3*t - 9 + 4 = 5*v, 3*t = 0. Let q be (-6 + 1)/(-2 - v). Determine n, given that 8 - 8 + 2*n**5 - n**q = 0.
0
Let f(z) be the second derivative of z**7/168 - z**5/40 + z**3/24 + 6*z. Factor f(p).
p*(p - 1)**2*(p + 1)**2/4
Let j(k) = -2*k**5 + 6*k**4 - 11*k**2 - 3. Let u(s) = -10*s**5 + 30*s**4 - 56*s**2 - 16. Let t(o) = 16*j(o) - 3*u(o). Factor t(c).
-2*c**2*(c - 2)**2*(c + 1)
Determine v so that 20*v**3 + 3*v**2 + 3*v**4 + 0*v**4 - 26*v**3 = 0.
0, 1
Let d = -69 - -961/14. Let t = 3/70 - d. What is m in 0 + 0*m**2 + 0*m + 1/5*m**5 + 1/5*m**3 + t*m**4 = 0?
-1, 0
Let b be (1 - (-3)/(-6))*4. Let h = -1 - -5. What is p in 12*p - 7*p**4 + 13*p**4 - h*p**3 - 8*p**5 + 12*p**4 - b - 16*p**2 = 0?
-1, 1/4, 1
Let u(v) be the third derivative of v**7/945 + v**6/90 - v**5/18 + 2*v**4/27 - 2*v**2. Factor u(q).
2*q*(q - 1)**2*(q + 8)/9
Suppose -4 - 5*o - 4*o**4 - 22*o**2 - 5*o - 2*o**2 - 6*o - 16*o**3 = 0. What is o?
-1
Let j(z) be the second derivative of -3/20*z**5 - 1/2*z**3 - 1/2*z**4 - 6*z + 0*z**2 + 0. Suppose j(t) = 0. Calculate t.
-1, 0
Let i be 1/(-2*(-1)/4). Factor 11 + 2*m**3 - 9*m**i + 3*m**2 + 0 - 3.
2*(m - 2)**2*(m + 1)
Let g(b) be the first derivative of b**4/32 - b**3/4 - 15*b**2/16 - b - 1. Factor g(c).
(c - 8)*(c + 1)**2/8
Factor 4/3*a**2 + 8/3 - 6*a.
2*(a - 4)*(2*a - 1)/3
Let b(y) be the first derivative of -3*y**5/40 - 7*y**4/32 + 7*y**3/24 + 3*y**2/16 - 11. Let b(u) = 0. Calculate u.
-3, -1/3, 0, 1
Let m = -2 + 5. Factor i**m + 12*i**2 - 8*i**3 + i - 2 + 5*i - 9*i.
-(i - 1)**2*(7*i + 2)
Let m(d) be the first derivative of -d**7/840 - d**6/180 + d**5/120 + d**4/12 + 2*d**3/3 - 5. Let x(w) be the third derivative of m(w). Solve x(i) = 0.
-2, -1, 1
Let l = -431/5 + 3844/45. Let w = l + 131/99. Factor -w*x**2 + 0*x + 4/11*x**3 + 2/11.
2*(x - 1)**2*(2*x + 1)/11
Let y(s) be the second derivative of -s**6/105 - 3*s**5/35 - 13*s**4/42 - 4*s**3/7 - 4*s**2/7 + 5*s. Find i such that y(i) = 0.
-2, -1
Let y be (-10)/3*(-54)/45. Solve 57*d**2 - 160*d**y + 15*d**5 + 5*d + 40*d**3 - 7*d**2 - 25*d - 143*d**5 + 2 = 0 for d.
-1, 1/4
Let z(x) be the second derivative of -x**7/525 - x**6/180 - x**5/450 + x**4/180 - 3*x**2/2 - x. Let h(f) be the first derivative of z(f). Factor h(k).
-2*k*(k + 1)**2*(3*k - 1)/15
Let c be -3 + 7 - 8 - 22/(-5). Suppose 0 = -2*i + 2*y + 6, -5*y + 35 = 5*i - 0. Factor -2/5*g**i - c*g**4 + 0 + 0*g + 0*g**3 + 0*g**2.
-2*g**4*(g + 1)/5
Let z = 18 - 6. Factor -210*g**4 + g**3 + 147*g**5 - 7*g**3 - 6*g**3 + 3*g**3 + z*g + 60*g**2.
3*g*(g - 1)**2*(7*g + 2)**2
Let o(d) be the second derivative of -d**8/5040 - d**7/2520 + d**6/1080 + d**5/360 + 4*d**3/3 + d. Let v(p) be the second derivative of o(p). Factor v(l).
-l*(l - 1)*(l + 1)**2/3
Let d(f) = -f**3 - 18*f**2 - 32*f + 2. Let y be d(-16). What is q in -1/6*q**5 - 1/3*q**4 + 0*q**3 + 0 + 1/6*q + 1/3*q**y = 0?
-1, 0, 1
Factor 1/2 + 0*t**3 - t**2 + 0*t + 1/2*t**4.
(t - 1)**2*(t + 1)**2/2
Let -6*c**4 + 5*c**4 + 19*c - 4*c**3 - 5*c**2 - 21*c = 0. What is c?
-2, -1, 0
Let u(m) be the third derivative of -2*m**7/105 + m**6/15 + 3*m**2. Determine t, given that u(t) = 0.
0, 2
Suppose -8*o - 6*o = 0. Factor -1/7*q**4 + 0 - 1/7*q**3 + 2/7*q**2 + o*q.
-q**2*(q - 1)*(q + 2)/7
Let a = -1 + -4. Let g = a - -5. Determine u so that 0*u**2 + 0 + g*u + 1/4*u**4 - 1/4*u**3 = 0.
0, 1
Suppose 0 = k + 3*k - 4*h + 12, k - 12 = -4*h. What is b in k*b + 0 + 2/5*b**2 = 0?
0
Let m(o) be the first derivative of 3*o**7/70 - o**6/10 - o**5/4 + o**4/4 - 3*o**2/2 + 4. Let d(v) be the second derivative of m(v). Factor d(q).
3*q*(q - 2)*(q + 1)*(3*q - 1)
Let k be (-3040)/(-22) - (-8)/(-44). Let o = 692/5 - k. Factor 0*d + o*d**2 + 0.
2*d**2/5
Let s(g) be the first derivative of 3*g**5/4 - 3*g**4 + 9*g**3/2 - 3*g**2 + 3*g/4 + 6. Factor s(u).
3*(u - 1)**3*(5*u - 1)/4
Let k(o) be the second derivative of -1/40*o**5 - 1/12*o**4 + 2*o - 1/360*o**6 + 0 + 0*o**2 + 1/6*o**3. Let h(d) be the second derivative of k(d). Factor h(u).
-(u + 1)*(u + 2)
Let y(q) be the second derivative of 5*q**4/12 + 10*q**3/3 + 10*q**2 - 7*q. Factor y(v).
5*(v + 2)**2
Suppose 73 = 4*w + 3*f + 76, 0 = -4*w + 4*f + 4. Determ