). Factor c(a).
-a**2*(a + 2)**2
Let q = -285 - -4276/15. Let z(k) be the first derivative of 1/25*k**5 + 2 + q*k**3 - 1/10*k**4 + 0*k**2 + 0*k. Factor z(w).
w**2*(w - 1)**2/5
Let u(n) be the third derivative of -n**6/60 - n**5/10 + n**4/12 + n**3 + 114*n**2. Factor u(i).
-2*(i - 1)*(i + 1)*(i + 3)
Let b(k) = 201*k**2 - 2*k. Let p be b(2). What is i in 195*i + 775*i**4 - p*i**2 - 35*i - 1 + 1 + 690*i**3 - 875*i**5 = 0?
-1, 0, 2/7, 4/5
Factor 2/3*g**4 - 47/3*g**3 + 0 + 67/3*g**2 - 22/3*g.
g*(g - 22)*(g - 1)*(2*g - 1)/3
Let k(c) be the first derivative of 0*c**3 + 1/12*c**4 - 1/6*c + 1/30*c**5 - 1/6*c**2 - 14. Factor k(d).
(d - 1)*(d + 1)**3/6
Let n(o) be the third derivative of o**6/40 - 23*o**5/10 - 95*o**4/8 - 24*o**3 - 13*o**2. Suppose n(c) = 0. What is c?
-1, 48
Let i(b) = -b**3 - 7*b**2 + 2. Let n be i(-7). Factor -2 + 0*a**3 - n*a**4 + 4*a**2 + 35*a**5 - 2*a + 4*a**3 - 37*a**5.
-2*(a - 1)**2*(a + 1)**3
Let h(y) = y**3 - 5*y**2 + y - 5. Let u be h(5). Let -3*s**3 + 5*s**3 + u*s**3 + 0*s**3 = 0. Calculate s.
0
Suppose 13*a = -709 + 709. Factor 1/4*c - 1/4*c**2 + a.
-c*(c - 1)/4
Suppose 0*v - 48/7*v**2 + 128/7*v**3 - 20/7*v**5 - 12/7*v**4 + 0 = 0. What is v?
-3, 0, 2/5, 2
Let b(h) be the third derivative of h**7/840 + 11*h**6/480 + h**5/10 + h**2 + 40. Factor b(s).
s**2*(s + 3)*(s + 8)/4
Find g such that 5*g**3 - 10*g**2 - 27*g + 21*g + 11*g = 0.
0, 1
Suppose 0*q + 9 = 3*q. Suppose 0 = -0*p - 5*p + 10. Solve p*a + 2*a**2 + 4*a**2 + 3*a**q - 2*a + 3*a = 0.
-1, 0
Let m(k) be the second derivative of -k**6/105 - k**5/7 - 23*k**4/42 - 2*k**3/3 + 131*k. Find h, given that m(h) = 0.
-7, -2, -1, 0
Suppose -4*r = 1 + 3. Let s(u) = -4*u**2 - 28*u + 20. Let l(c) = -c + 1. Let w(v) = r*s(v) + 20*l(v). Find d, given that w(d) = 0.
-2, 0
Determine n, given that 116/3*n**2 - 4/3*n**5 + 80*n - 44/3*n**3 + 112/3 - 12*n**4 = 0.
-7, -2, -1, 2
Let z(o) be the third derivative of -o**5/510 - 59*o**4/102 - 39*o**3/17 + 9*o**2 - 15. Factor z(l).
-2*(l + 1)*(l + 117)/17
Suppose -221 + 231 = 5*g. Let q(u) be the first derivative of -u**2 + g + 0*u - u**4 + 5/3*u**3 + 1/5*u**5. Factor q(a).
a*(a - 2)*(a - 1)**2
Factor -1/2*k**2 + 0 - 3/2*k.
-k*(k + 3)/2
Let u = -472/3 - -160. Factor 0*l**2 + 0*l**4 + 0 + u*l**3 - 4/3*l - 4/3*l**5.
-4*l*(l - 1)**2*(l + 1)**2/3
Let j(t) be the third derivative of t**7/210 + 13*t**6/120 + 11*t**5/12 + 25*t**4/8 + 35*t**2. What is l in j(l) = 0?
-5, -3, 0
Suppose -14 + 29/2*c - 1/2*c**2 = 0. Calculate c.
1, 28
Determine d so that -100*d**4 - d**5 - 1330*d**3 - 24*d + 1390*d**3 + 80*d**2 - 36*d**5 + 20*d**2 + d**5 = 0.
-3, -1, 0, 2/9, 1
Let x(f) be the first derivative of -36*f**5/25 + 7*f**4/5 + 368*f**3/15 + 184*f**2/5 + 64*f/5 - 579. Solve x(k) = 0 for k.
-2, -1, -2/9, 4
What is j in -3*j**4 + 24*j - 6*j**3 - 20 + 18 + 36*j**2 + 0*j - 94 = 0?
-4, -2, 2
Suppose 0 = -4*v - d + 462, 4*v + 110 = 5*v + 3*d. Let u be (-4)/14 + (v/(-105))/(-2). Solve 2/5*a**2 - u*a - 2/15 = 0.
-1/3, 1
Let l(w) be the second derivative of w**6/120 - 5*w**5/16 - w**4/48 + 25*w**3/24 + 89*w + 2. Factor l(x).
x*(x - 25)*(x - 1)*(x + 1)/4
Let p be (-1)/3 + 46*20/4392. Let h = 6/61 - p. Factor 2/9*k + 0 + h*k**2 - 2/9*k**4 - 2/9*k**3.
-2*k*(k - 1)*(k + 1)**2/9
Factor -10*l + 15*l**4 - 382 - 16*l**4 + 382 + 19*l**2 - 8*l**3.
-l*(l - 1)**2*(l + 10)
Find x, given that -7/3*x**3 - 1/3*x**4 - 8/3*x**2 + 16/3*x + 0 = 0.
-4, 0, 1
Suppose 7*v - 11 - 3 = 0. Factor 78*y**3 - 66*y**3 + 3*y - 2*y**2 + 10*y**v + 7*y**2.
3*y*(y + 1)*(4*y + 1)
Let m(t) = -3*t**2 + 2*t. Let p(r) = 11*r**2 - 3*r - 6. Let w(i) = -4*m(i) - p(i). Factor w(n).
(n - 3)*(n - 2)
Let z(n) be the first derivative of n**5/4 + 2*n**4/3 - 22*n**3/3 + 8*n**2 - 37*n - 20. Let k(u) be the first derivative of z(u). Let k(t) = 0. Calculate t.
-4, 2/5, 2
Let i(p) = p**3 - 19*p**2 + 15*p - 3. Let o(k) = 20*k**2 - 16*k + 4. Let w(r) = -4*i(r) - 3*o(r). Factor w(d).
-4*d*(d - 3)*(d - 1)
Factor -15/4*n - 1/2*n**2 + 1/4*n**3 + 9.
(n - 3)**2*(n + 4)/4
Suppose -26 = -3*q + 5*u, -8*u - 8 = 2*q - 5*u. Factor 2 - 9*p - p**4 + 2*p - p**2 - q*p**3 - p**3 + 10*p.
-(p - 1)*(p + 1)**2*(p + 2)
Factor 9/7 - 4*z + 3/7*z**2.
(z - 9)*(3*z - 1)/7
Let t(n) be the second derivative of n**8/336 - n**7/105 + n**5/30 - n**4/24 - 23*n**2/2 - 13*n. Let q(d) be the first derivative of t(d). Solve q(z) = 0 for z.
-1, 0, 1
What is t in -2/7*t**2 - 4232/7 - 184/7*t = 0?
-46
Let q(n) be the third derivative of n**5/100 + 3*n**4/20 + n**3/2 + 9*n**2 - 2. Let q(d) = 0. Calculate d.
-5, -1
Let x(m) be the second derivative of -m**6/150 + m**5/10 - 11*m**4/20 + 22*m**3/15 - 2*m**2 - 85*m. Find h, given that x(h) = 0.
1, 2, 5
Let l = -6 + 2. Let w(i) = 10*i**3 + 145*i**2 + 215*i - 35. Let t(v) = -v**3 - 16*v**2 - 24*v + 4. Let h(f) = l*w(f) - 35*t(f). Solve h(c) = 0.
-2, 0
Let a(p) be the first derivative of -5*p**6/24 - p**5/4 - 7*p**2 + 3. Let h(i) be the second derivative of a(i). Factor h(v).
-5*v**2*(5*v + 3)
Let w(x) be the third derivative of x**5/180 - 5*x**4/9 + 13*x**3/6 - x**2 + 4. Let w(s) = 0. Calculate s.
1, 39
Let c(v) be the third derivative of -1/480*v**6 + 0*v + 2 - 28*v**2 - 1/8*v**3 + 5/96*v**4 - 1/240*v**5. Factor c(t).
-(t - 1)**2*(t + 3)/4
Find c, given that -10*c + 64*c**2 - 8*c**3 + 3*c**3 - 33*c**2 - 16*c**2 = 0.
0, 1, 2
Let i be (-1)/2*(-7 + (-14 - -21)). Suppose -2/17*m + 2/17*m**2 + i = 0. What is m?
0, 1
Find j, given that 4/9*j**4 + 2/9*j**5 + 4/3 - 16/9*j**2 - 4/3*j**3 + 10/9*j = 0.
-3, -1, 1, 2
Suppose -2*b + 9 = -0*b - z, -z = -5*b + 18. Factor 2*p**4 + 6*p**2 + 0*p**3 + 2*p**2 - 8*p**3 + 0*p**b.
2*p**2*(p - 2)**2
Let t(k) = 5*k + 11. Let p be t(-2). Let u be (-10 + 12)*p/3. Factor 2/3*i**3 - u*i**4 + 2/3*i**2 - 2/3*i + 0.
-2*i*(i - 1)**2*(i + 1)/3
Let q = 335 + -1674/5. Factor -1/5 + q*p**3 - 1/5*p + 1/5*p**2.
(p - 1)*(p + 1)**2/5
Let i(w) = -w**2 + 12*w - 9. Let p be i(11). Factor 95 - 95 - 4*l**p + 40*l.
-4*l*(l - 10)
Let k(r) be the first derivative of -24/5*r**3 + 9/10*r**6 + 69/10*r**4 + 3/10*r**2 - 20 + 6/5*r - 102/25*r**5. Factor k(s).
3*(s - 1)**4*(9*s + 2)/5
Let p(l) be the second derivative of 0 - 1/9*l**4 + 54*l + 0*l**2 - 1/6*l**3 - 1/60*l**5. Factor p(v).
-v*(v + 1)*(v + 3)/3
Let t(s) be the first derivative of 7*s**5/50 - 9*s**4/5 + 36*s**3/5 - 56*s**2/5 + 24*s/5 - 172. Determine h, given that t(h) = 0.
2/7, 2, 6
Let a(k) = 3*k**2 + k. Let s(g) = 8*g**2 + 5*g. Let m(u) = -3*a(u) + s(u). Factor m(b).
-b*(b - 2)
Let h(t) = 31*t**2 - 53*t - 122. Let l(c) = 7*c**2 - 13*c - 30. Let p(y) = 4*h(y) - 18*l(y). Factor p(q).
-2*(q - 13)*(q + 2)
Let h(c) be the third derivative of c**9/1512 - c**7/210 + c**5/60 - 8*c**3/3 + 16*c**2. Let o(f) be the first derivative of h(f). Factor o(m).
2*m*(m - 1)**2*(m + 1)**2
Let j(n) be the first derivative of -5*n**6/6 + 2*n**5 + 5*n**4 - 10*n**3/3 - 15*n**2/2 + 121. Suppose j(s) = 0. Calculate s.
-1, 0, 1, 3
Let w(m) be the second derivative of 3*m**6/10 + m**5/10 + m**4/72 - 13*m**3/2 - 22*m. Let y(i) be the second derivative of w(i). Factor y(k).
(18*k + 1)**2/3
Let w(n) = n**2 - n - 2. Let q be w(2). Let p = 420 + -416. Let q + 0 + 3*z**2 + p*z - z = 0. What is z?
-1, 0
Let f = -2576 + 5155/2. Find b such that 2*b - f*b**2 - 1/2 = 0.
1/3, 1
Let h(g) be the first derivative of g**4/18 - 10*g**3/27 - 8*g**2/9 + 8*g/3 + 4. Factor h(y).
2*(y - 6)*(y - 1)*(y + 2)/9
Let o = -3 - -5. What is b in o*b + b - b**2 + 5 - 7*b = 0?
-5, 1
Suppose -5*p = -o + 2 - 17, -6 = -2*p + 3*o. Solve -14 - 31 - 75*n - 35*n**2 - p*n**3 - 2*n**3 = 0 for n.
-3, -1
Let q(v) = -3*v**5 + 8*v**4 - 2*v**3 - 38*v**2 - 27*v - 2. Let t(u) = 7*u**5 - 16*u**4 + 2*u**3 + 75*u**2 + 55*u + 5. Let k(z) = 5*q(z) + 2*t(z). Factor k(h).
-h*(h - 5)**2*(h + 1)**2
Let z(c) be the third derivative of 0 + 0*c**5 + 5/24*c**4 + 0*c**3 - 20*c**2 - 1/24*c**6 + 0*c. Suppose z(l) = 0. What is l?
-1, 0, 1
Let c = -798 + 801. Let c*y + 3/2*y**3 + 1 + 13/4*y**2 + 1/4*y**4 = 0. Calculate y.
-2, -1
Let l(d) = -2*d - 4. Let y = -27 + 28. Let b(a) = -a**2 - 1. Let x(h) = y*l(h) - b(h). Suppose x(n) = 0. Calculate n.
-1, 3
Let n(g) be the first derivative of 55*g**6/6 - 2*g**5 - 55*g**4 + 40*g**3/3 + 140. Solve n(o) = 0 for o.
-2, 0, 2/11, 2
Let d be ((-6)/(-4))/3*239/956. Factor 3/8*l + 1/4 + d*l**2.
(l + 1)*(l + 2)/8
Solve 2/11*n*