be the first derivative of 0*b**2 + 2 + 0*b**3 + 3/5*b**5 - 3/4*b**4 + 0*b. Factor o(q).
3*q**3*(q - 1)
Suppose 0 = -4*x + 14 + 10. Factor -9*w - 25*w**3 + 44*w**3 + x - 16*w**3.
3*(w - 1)**2*(w + 2)
Suppose 0 = z - 10 + 4. Determine r so that 0*r**2 + z*r - 2*r**4 + 3*r**2 - 34*r**5 - 9*r**3 + 37*r**5 - r**4 = 0.
-1, 0, 1, 2
Find h, given that 200/7*h + 104/7 + 16/7*h**3 - 2/7*h**4 + 114/7*h**2 = 0.
-2, -1, 13
Let g(f) be the third derivative of -5/24*f**4 - 2*f**2 + 0*f**3 + 1/6*f**5 + 0 - 1/24*f**6 + 16*f. Factor g(k).
-5*k*(k - 1)**2
Let s(w) = 2*w**4 + w**3 - 2*w**2. Let a(l) = 17*l**4 + 76*l**3 + 333*l**2 + 700*l + 500. Let p(f) = a(f) - 6*s(f). Factor p(z).
5*(z + 2)**2*(z + 5)**2
Factor -3477 - r**2 - 1135 - 864 - 1749 + 170*r.
-(r - 85)**2
Let h = -52 + 2497/48. Let w(j) be the first derivative of -1/20*j**5 + 0*j**2 + 0*j + 0*j**3 + 1/32*j**4 - 10 + h*j**6. Suppose w(x) = 0. What is x?
0, 1
Let v(c) be the first derivative of c**6/2700 - c**5/450 + c**4/180 + 8*c**3/3 - 1. Let q(w) be the third derivative of v(w). Determine x so that q(x) = 0.
1
Let z = -5039/10 - -503. Let y = -43/70 - z. Factor -4/7*a**3 - 2/7*a**4 + 0*a - y*a**2 + 0.
-2*a**2*(a + 1)**2/7
Let s(o) be the first derivative of o**3/12 - 2*o**2 + 16*o + 17. Suppose s(y) = 0. What is y?
8
Let l(x) be the second derivative of 3*x**5/10 - 31*x**4/6 - 23*x**3/3 + 11*x**2 + x - 19. What is c in l(c) = 0?
-1, 1/3, 11
Suppose -3*y = 4*p - 10, -3*y - 2*y - 14 = -p. Factor -12*x - 14*x**4 + 12*x**3 + 9*x**p + 8 + x**4 - 4*x**2.
-4*(x - 2)*(x - 1)**2*(x + 1)
Let d = 42751 + -42747. Suppose 48/5*j**d + 164/5*j**3 - 144/5*j - 112/5*j**2 + 64/5 - 4*j**5 = 0. Calculate j.
-2, -1, 2/5, 1, 4
Let r(o) be the second derivative of -o**6/150 + 7*o**5/100 + 2*o**4/15 + 16*o + 5. Solve r(f) = 0 for f.
-1, 0, 8
Let l be (2/(-14))/((-112)/392)*0. Factor l + 3/5*z**2 + 3/5*z.
3*z*(z + 1)/5
Solve -46*r**3 - 35*r + 21*r**3 - 15 - 25*r**2 + 20*r**3 = 0.
-3, -1
Let f(z) be the first derivative of -1/12*z**3 - 17 - 1/4*z - 1/4*z**2. Factor f(w).
-(w + 1)**2/4
Let c(x) be the third derivative of x**6/24 - x**5/3 - 5*x**4/24 + 10*x**3/3 - 2*x**2 + 16. Factor c(n).
5*(n - 4)*(n - 1)*(n + 1)
Let c(l) be the first derivative of -l**5/45 + l**4/9 + 3*l**2/2 - 44. Let p(b) be the second derivative of c(b). Suppose p(r) = 0. What is r?
0, 2
Let s(o) = 2*o**3 + 7*o**2 + 8*o - 12. Let h be s(-5). Let t = 130 + h. Factor 0*g**2 + 0 + 0*g - 2/7*g**t.
-2*g**3/7
Find f such that -32/5*f**3 - 72/5*f + 4/5*f**4 + 0 + 84/5*f**2 = 0.
0, 2, 3
Let g(m) be the first derivative of m**5/5 - 5*m**4/16 - m**3/4 + 5*m**2/8 - m/4 + 92. Factor g(i).
(i - 1)**2*(i + 1)*(4*i - 1)/4
Let i be 8 + -3 - 1 - 2. Let o be (1/i)/(7/28). Factor -3/2*f**o - 24 + 12*f.
-3*(f - 4)**2/2
Let x = -2/485 + 988/4365. Solve 2/9*v**5 + 0*v + x*v**4 + 0 - 10/9*v**3 + 2/3*v**2 = 0 for v.
-3, 0, 1
Determine c, given that 1966 - 143*c**3 + 900*c + 146*c**3 + 1034 + 90*c**2 = 0.
-10
Let y(v) = -v**3 + 4*v**2 - 2*v - 1. Let g be y(3). Suppose 10 = -5*s + 55. Factor 7*p - g + 5 + s*p**2 + 0 + 3*p**3 + 2*p.
3*(p + 1)**3
Suppose -3*y + 17 = 4*l - 15, 0 = -y + 2*l + 4. Let k(x) = -6*x**2 - 20*x. Let g(p) = 2*p**2 + 7*p. Let s(v) = y*g(v) + 3*k(v). Factor s(w).
-2*w*(w + 2)
Suppose 3*a**2 - 41*a**4 - 20*a**2 + 38*a**4 - 15*a**3 - a**2 = 0. Calculate a.
-3, -2, 0
Let u(p) = p**3 + p**2 - 3*p. Let y(v) = 10*v**3 + 6*v**2 - 25*v + 12. Let l(g) = 22*u(g) - 2*y(g). Factor l(n).
2*(n - 2)*(n + 1)*(n + 6)
Let m(g) = 636*g - 3177. Let n be m(5). Let j = 702/5 + -140. Factor j*b**4 + 0 + 0*b - 4/5*b**n + 0*b**2.
2*b**3*(b - 2)/5
Let s = -177 - -233. Let l be 20/14 - 32/s. Solve 0 - 4/7*n**2 + 2/7*n**3 + l*n**4 + 0*n = 0.
-1, 0, 2/3
Let n = 40 - 29. Solve -n - 125*b + 16*b**2 + 17*b - 17 = 0 for b.
-1/4, 7
Let l = -14/89 + 323/356. Let y(b) = -b**2 - 9*b + 12. Let a be y(-10). Factor 1/4*x**a + l*x + 1/2.
(x + 1)*(x + 2)/4
Suppose 8*k = 4 - 124. Let c = k + 61/4. Find b, given that 1/4*b**4 - 1/4*b**2 + 1/4*b + 0 - c*b**3 = 0.
-1, 0, 1
Factor 66*s - 71*s + 16*s**2 - 13*s**2 + 86*s.
3*s*(s + 27)
Suppose 25 = 3*u + 10. Let a be u/30*(1 - -2). What is l in 1/2*l + 1 - a*l**2 = 0?
-1, 2
Let 0 + 0*f - 2/3*f**4 - f**2 + 7/3*f**3 = 0. Calculate f.
0, 1/2, 3
Find p such that 0*p + 5 + 2*p**2 - 24*p - 3 + 20 = 0.
1, 11
Let m = 7799 + -7781. Factor 15*d**2 - 11/3*d**3 + m + 1/3*d**4 - 27*d.
(d - 3)**3*(d - 2)/3
Let o(a) be the third derivative of 0*a + 0 + 1/6*a**4 + 13*a**2 + 1/30*a**5 - a**3. Factor o(j).
2*(j - 1)*(j + 3)
Let -1/3*x**2 - 8/3*x - 5 = 0. What is x?
-5, -3
Factor 5/6*v**4 + 125/6*v**2 + 10*v + 0 + 35/3*v**3.
5*v*(v + 1)**2*(v + 12)/6
Let p(w) be the first derivative of -3/4*w**4 + 0*w**2 + 0*w + 6 - 1/5*w**5 - 2/3*w**3. Factor p(b).
-b**2*(b + 1)*(b + 2)
Let o(b) = -3*b**3 - 2*b**2 - 5*b - 2. Let r be o(-1). Let p(m) = 11*m**2 - m + 2. Let n(f) = -4*f**2. Let l(i) = r*p(i) + 12*n(i). Factor l(k).
-4*(k - 1)*(k + 2)
Let d(v) be the third derivative of 2*v**7/21 - 77*v**6/30 + 6*v**5 + 58*v**4/3 - 112*v**3/3 + 6*v**2 - 63*v. Let d(i) = 0. What is i?
-1, 2/5, 2, 14
Let b(k) be the first derivative of 2*k**3/21 + 8*k**2/7 + 30*k/7 + 233. Factor b(u).
2*(u + 3)*(u + 5)/7
Suppose -8*y - 21 = -15*y. Let a(w) be the first derivative of -9/4*w**2 - 5 + 3*w + 1/2*w**y. Find h, given that a(h) = 0.
1, 2
Let f(o) be the third derivative of -1/3*o**5 + 0*o - 2*o**2 + 0 + 1/60*o**6 + 17/12*o**4 - 8/3*o**3. Find j such that f(j) = 0.
1, 8
Suppose 11*j = 20 + 13. Determine h, given that -3*h**3 + j*h - 9*h**3 + 9*h**3 = 0.
-1, 0, 1
Factor 42*h**2 - 396*h - 12 + 22*h - 15*h**2 + 99*h**2.
2*(h - 3)*(63*h + 2)
Let z(g) be the second derivative of 2/21*g**3 - 1/35*g**5 + 0*g**4 - 1/7*g**2 + 1/105*g**6 + 0 + 10*g. Suppose z(f) = 0. Calculate f.
-1, 1
Suppose 124*o = 127*o - 18. Let x(p) = 22*p**2 + 188*p - 176. Let l(y) = 2*y**2 + 17*y - 16. Let z(s) = o*x(s) - 68*l(s). Factor z(d).
-4*(d - 1)*(d + 8)
Suppose 3*u + 4 = 5*u. Factor -6*c - 10*c - 6*c**3 - 2*c**4 + 4 + 24*c - 2*c - 2*c**u.
-2*(c - 1)*(c + 1)**2*(c + 2)
Let u(w) be the first derivative of 0*w - 1/20*w**4 - 2/15*w**3 - 6 - 1/150*w**5 - 3/2*w**2. Let v(l) be the second derivative of u(l). Factor v(k).
-2*(k + 1)*(k + 2)/5
Let i(b) be the third derivative of 0*b**3 + 0 + 1/210*b**8 + 0*b**4 + 1/150*b**6 + 1/75*b**7 - 1/150*b**5 + 0*b + 2*b**2. Factor i(o).
2*o**2*(o + 1)**2*(4*o - 1)/5
Let u(x) be the second derivative of x**6/2520 - x**5/84 + 25*x**4/168 - x**3/6 + 15*x. Let z(n) be the second derivative of u(n). Factor z(a).
(a - 5)**2/7
Let z = 2461/5 + -492. Let t(o) be the third derivative of -3/8*o**4 - 1/24*o**6 - 8*o**2 + 0*o + 0 + 1/3*o**3 + z*o**5. Factor t(a).
-(a - 1)**2*(5*a - 2)
Let p be (10 - 9 - 6) + 21/4. Let w(x) be the second derivative of -p*x**3 + 0 + 1/20*x**6 + 3/40*x**5 + x - 1/8*x**4 + 0*x**2. Factor w(d).
3*d*(d - 1)*(d + 1)**2/2
Let o be 1/2*15/360*16. Solve 1/6*n**4 + o*n**3 - n + 0 - 5/6*n**2 = 0 for n.
-3, -1, 0, 2
Let l(y) = -6*y**2 + 9*y + 15. Let x be (-1 - 14/10) + (-4)/(-10). Let u(f) = f**2 - 2*f - 3. Let m(p) = x*l(p) - 11*u(p). Suppose m(g) = 0. What is g?
-3, -1
Let v = 65 + -57. Factor -13*d - 16*d**3 - 72*d**2 - 78*d**5 - 7*d + 64*d**4 + 114*d**5 + v.
4*(d - 1)*(d + 1)**3*(9*d - 2)
Let d(q) be the third derivative of -q**8/448 - 17*q**7/420 - 19*q**6/80 - 11*q**5/30 + 15*q**4/32 + 25*q**3/12 + q**2. Find y such that d(y) = 0.
-5, -1, 2/3
Let q(g) be the second derivative of -8*g - 2*g**2 - 5/6*g**3 - 1/12*g**4 + 0. Factor q(z).
-(z + 1)*(z + 4)
Let m(i) be the second derivative of -i**5/50 + i**4/10 - 2*i**3/15 - 10*i + 2. Factor m(x).
-2*x*(x - 2)*(x - 1)/5
Let j(h) be the first derivative of h**4/6 - 68*h**3/9 + 65*h**2/3 - 64*h/3 + 540. Suppose j(d) = 0. What is d?
1, 32
Let t(m) be the second derivative of 2*m**7/21 + 9*m**6/5 + 19*m**5/2 + 45*m**4/2 + 83*m**3/3 + 18*m**2 + 164*m. What is c in t(c) = 0?
-9, -2, -1, -1/2
Let z(g) be the second derivative of 2*g**6/15 + 89*g**5/50 + 87*g**4/10 + 81*g**3/5 - 27*g**2/5 + 436*g. Solve z(f) = 0 for f.
-3, 1/10
Let r(m) be the third derivative of 2*m**7/105 - 4*m**6/15 + 11*m**5/15 + 4*m**4/3 - 8*m**3 - 148*m**2 - 2*m. Find f such that r(f) = 0.
-1, 1, 2, 6
Suppose 0 = -5*k + 3*m + 6, -3*k - k - m - 2 = 0. Let n(r) be the third 