 + q**5/25 - 8. Factor o(v).
v**4*(v + 1)/5
Let d be 1*(2/1 - 2). Let c = d + 3. Factor c - 1 + 8*r - 2*r**4 + 8*r**3 - 12*r**2 - 4.
-2*(r - 1)**4
Let b(f) be the second derivative of -f**9/52920 + f**8/23520 + f**7/8820 - f**6/2520 - f**4/12 - 2*f. Let t(y) be the third derivative of b(y). Factor t(w).
-2*w*(w - 1)**2*(w + 1)/7
Let p(f) be the second derivative of 2*f**6/15 + f**5/5 - f**4/3 - 2*f**3/3 - 8*f. Let p(w) = 0. Calculate w.
-1, 0, 1
Let x(z) be the second derivative of 0 + 9*z - 1/105*z**6 + 1/7*z**2 + 0*z**4 - 2/21*z**3 + 1/35*z**5. Determine l, given that x(l) = 0.
-1, 1
Let r be 3*(-4)/(-7 + 3). Let -2*i**4 - i**5 - 4 + i**3 + 2*i**4 - 16*i - 7*i**4 - 20*i**r - 25*i**2 = 0. Calculate i.
-2, -1
Let r(j) be the second derivative of -j**5/160 - 5*j**4/96 - j**3/6 - j**2/4 + 22*j. Factor r(m).
-(m + 1)*(m + 2)**2/8
Factor -2*m**4 - 8*m - m + 1 + 1 + 4*m**3 + 5*m.
-2*(m - 1)**3*(m + 1)
Suppose 31 + 17 = 3*r. Suppose -4*o - r = 0, 2*l + 3*o + 6 = -l. Solve 2*v**2 + 0 + 4 + 2*v - v**l - 3*v**2 = 0.
-1, 2
Suppose 0 = -3*y - f - 66, 0 = 3*y - 5*f - 6 + 54. Let u be (-6)/y + 16/42. Factor 0 + v**3 + 5/3*v**2 + u*v.
v*(v + 1)*(3*v + 2)/3
Let i(s) be the second derivative of s**7/14 - 3*s**5/20 - 7*s. Solve i(t) = 0 for t.
-1, 0, 1
Let g(s) be the first derivative of -s**9/12096 - s**8/6720 + s**7/3360 + s**6/1440 + s**3/3 - 1. Let k(j) be the third derivative of g(j). Factor k(h).
-h**2*(h - 1)*(h + 1)**2/4
Let h(y) be the second derivative of y**6/90 - y**4/6 - 4*y**3/9 - y**2/2 + 6*y. Factor h(r).
(r - 3)*(r + 1)**3/3
Suppose 2*s + 6 = 0, 6 = -z - 2*s - 0. Let g = -4 + 6. Solve -1/2*h**4 + 0*h**g + 1/2*h**3 + z + 0*h = 0 for h.
0, 1
Let n(d) be the second derivative of 0*d**5 - 5*d + 0*d**4 + 0*d**3 + 1/30*d**6 + 0 + 1/42*d**7 + 0*d**2. Find r such that n(r) = 0.
-1, 0
Let m(y) = -20*y**4 + 60*y**3 - 40*y**2 + 5*y. Let g(i) = 20*i**4 - 61*i**3 + 39*i**2 - 5*i + 1. Let t(h) = 5*g(h) + 6*m(h). What is w in t(w) = 0?
-1/4, 1
Let n = -445 + 445. Factor -21/4*c**3 - 27/4*c + 45/4*c**2 + n + 3/4*c**4.
3*c*(c - 3)**2*(c - 1)/4
Suppose -5*r + 9*r = 0. Let w(f) be the third derivative of 0*f + 0*f**3 + 0 + r*f**5 + 0*f**7 + 1/336*f**8 - 1/60*f**6 + 1/24*f**4 + f**2. Factor w(i).
i*(i - 1)**2*(i + 1)**2
Let j(u) = u**5 - u**4 + u**2. Let i(z) = z**5 + z**4 + 4*z**3 - 5*z**2 - 2*z + 4. Let x = -7 - -6. Let m(s) = x*i(s) + 3*j(s). Solve m(h) = 0.
-1, 1, 2
Let u = 1323/2 - 661. Determine p so that -1/2*p + p**2 + 0 + u*p**3 - p**4 = 0.
-1, 0, 1/2, 1
Let u(h) be the second derivative of -7/15*h**6 + 3*h + 0 + 2/15*h**4 - 2/25*h**5 + 0*h**3 + 0*h**2. Find b such that u(b) = 0.
-2/5, 0, 2/7
Let h = 6 + -3. Determine x so that -10*x**3 - 2*x + 21*x**3 - 14*x**h + 5*x**2 = 0.
0, 2/3, 1
Let m = 834/12145 - 4/347. Let l = m + 64/105. Factor -4/3*j + 2/3*j**2 + l.
2*(j - 1)**2/3
Find i, given that -12/5*i**2 + 0 + 8/5*i = 0.
0, 2/3
Let d(p) = -p - 3. Let m be d(-3). Let h(r) be the first derivative of 4/15*r**3 + m*r + 1 - 1/10*r**4 - 1/5*r**2. Factor h(y).
-2*y*(y - 1)**2/5
Factor -2/7*q**5 + 2/7*q**2 - 16/7*q - 2/7*q**4 + 8/7 + 10/7*q**3.
-2*(q - 1)**3*(q + 2)**2/7
Let w(l) be the third derivative of 1/60*l**6 - 1/12*l**4 + 1/105*l**7 + 0*l + 0 - 3*l**2 - 1/30*l**5 + 0*l**3. What is u in w(u) = 0?
-1, 0, 1
Let x(p) be the second derivative of 8*p**6/105 + 3*p**5/14 + p**4/7 - p**3/21 + 16*p. Factor x(g).
2*g*(g + 1)**2*(8*g - 1)/7
Solve -10/3*p - 2*p**3 + 2/3 + 14/3*p**2 = 0.
1/3, 1
Suppose -28*n = -30*n + 6. Let a(d) be the first derivative of n + 2/3*d + 2/3*d**2 + 5/18*d**3 + 1/24*d**4. Factor a(o).
(o + 1)*(o + 2)**2/6
Let a(p) be the first derivative of p**2 - 6 + 1/3*p**3 + p. Determine u, given that a(u) = 0.
-1
Let j(a) = -3*a**2 - 21*a + 5. Let n(l) = 4*l**2 + 32*l - 8. Let v(y) = 8*j(y) + 5*n(y). Factor v(d).
-4*d*(d + 2)
Let u(n) be the second derivative of 0*n**4 + 1/4*n**2 - 1/80*n**5 + 0 + 1/8*n**3 + 7*n. Factor u(g).
-(g - 2)*(g + 1)**2/4
Factor -3*m**3 - 9/4*m**2 + 0 + 3/4*m.
-3*m*(m + 1)*(4*m - 1)/4
Let z(a) be the third derivative of a**6/60 - 4*a**5/15 - 19*a**4/12 - 10*a**3/3 - 8*a**2 + a. Factor z(f).
2*(f - 10)*(f + 1)**2
Let o be (-6)/4*18/(-27). Let f be o + 2 - 84/36. Factor -1/3*z**5 + 0 + f*z**4 + 0*z**2 + 0*z - 1/3*z**3.
-z**3*(z - 1)**2/3
Let 0*w**3 + 2/11*w**4 + 0 + 0*w**2 + 0*w = 0. What is w?
0
Let k be 8/6*12/8. Suppose -5 = -k*i - 1, -i = 3*b - 17. Suppose 10/7*c**2 + 0 - 10/7*c**4 - 6/7*c**b + 4/7*c + 2/7*c**3 = 0. What is c?
-1, -2/3, 0, 1
Suppose 0 = -2*c - 3*d - 19, 8*c = 4*c - d - 33. Let m = 8 + c. Factor -4*y**3 + y**3 - 3*y + m + 6*y**2 + 0.
-3*y*(y - 1)**2
Let i(b) be the second derivative of 4*b**6/225 - 2*b**5/75 - b**4/90 + b**3/45 + 17*b. Find k, given that i(k) = 0.
-1/2, 0, 1/2, 1
Let d(s) be the second derivative of -14/3*s**3 - 4*s**2 + 0 + 2*s - s**4. Factor d(n).
-4*(n + 2)*(3*n + 1)
Suppose -11 + 0 - 74*s**2 + 104*s - 13 + 14*s**3 = 0. Calculate s.
2/7, 2, 3
Factor 4/5*l**2 + 2/5 - 6/5*l.
2*(l - 1)*(2*l - 1)/5
Let l(s) = 18*s**4 + 50*s**3 + 47*s**2 + 6*s + 1. Suppose -19 = d - 4. Let f(q) = -9*q**4 - 25*q**3 - 23*q**2 - 3*q. Let o(k) = d*f(k) - 6*l(k). Factor o(a).
3*(a + 1)**3*(9*a - 2)
Solve 0 + 0*z**3 + 2/13*z**2 + 0*z - 2/13*z**4 = 0 for z.
-1, 0, 1
Let i(w) = w**3 + 5*w**2 - 5*w + 5. Let j(h) = h - 7. Let u be j(-8). Let t(n) = n**2 - n + 1. Let b(k) = u*t(k) + 3*i(k). Solve b(m) = 0.
0
Let w be (-4 - -4)*-2*3/6. Let b(m) be the third derivative of w + 0*m**3 + m**2 + 0*m + 0*m**4 + 1/240*m**5. Factor b(r).
r**2/4
Let f(l) = -120*l**2 - 200*l + 55. Let d(k) = -15*k**2 - 25*k + 7. Let v(t) = 25*d(t) - 3*f(t). Factor v(j).
-5*(j + 2)*(3*j - 1)
Let g(c) be the first derivative of -4/3*c + 1/6*c**4 - 8/9*c**3 - 3 + 5/3*c**2. Factor g(a).
2*(a - 2)*(a - 1)**2/3
Let u(i) = i + 14. Let x be u(-6). Let s(v) = v**3 + 7*v**2 - 11*v. Let t be s(-8). Let 4*k - 11*k - 7*k - x*k**3 + t*k**2 - 4*k + 4 = 0. What is k?
1/2, 2
Let s(h) be the first derivative of 3*h**6/7 + 58*h**5/35 + 33*h**4/14 + 10*h**3/7 + 2*h**2/7 - 34. Find t, given that s(t) = 0.
-1, -2/9, 0
Factor -4*h**4 - 9*h**2 - 8*h**2 + 5*h**4 + 16*h**2.
h**2*(h - 1)*(h + 1)
Let h be -4*24/(-4)*(-30)/(-264). Determine m so that h*m + 8/11*m**2 - 8/11 = 0.
-4, 1/4
Let w(c) be the first derivative of 0*c + 0*c**3 - 4 + 1/14*c**4 - 4/35*c**5 + 0*c**2 + 1/21*c**6. Factor w(d).
2*d**3*(d - 1)**2/7
Let x(d) be the second derivative of d**8/2240 + d**7/360 + d**6/360 + 7*d**4/12 - 8*d. Let g(u) be the third derivative of x(u). Factor g(v).
v*(v + 2)*(3*v + 1)
Factor -3*s + 2 + s**5 + 4*s**3 - 2*s**5 - 4 + 0*s**2 + 2*s**2.
-(s - 2)*(s - 1)*(s + 1)**3
Let p = 5 + 0. Suppose -35 - 5 = -5*z + p*s, 4*z + 3*s + 3 = 0. Suppose 3*m + m - m**z - 3*m = 0. What is m?
-1, 0, 1
Let q = 2/173 - -505/1211. Determine n so that -12/7*n**2 + 6/7*n**4 + 6/7 + q*n**5 + 3/7*n - 6/7*n**3 = 0.
-2, -1, 1
Suppose 0*f + 0 + 2/11*f**2 = 0. Calculate f.
0
Let p be (-1)/20*40/(-16). Let t(j) be the first derivative of -p*j**4 + 0*j - 4 + 0*j**3 + 1/4*j**2. Factor t(y).
-y*(y - 1)*(y + 1)/2
Let v be 6/(-33) - (-90)/11. Let a be 5/(10*2/v). Factor -1/2*w**a - 2 + 2*w.
-(w - 2)**2/2
Let q(a) be the third derivative of a**6/540 - a**4/36 - 2*a**3/27 + 15*a**2. Factor q(g).
2*(g - 2)*(g + 1)**2/9
Suppose -2*l + 5*v + 48 = 18, -4*l - 5*v = 0. Let f = l + -3. Suppose -f + 4*o - o**2 + 0*o**2 - o**2 = 0. Calculate o.
1
Let h(z) be the second derivative of -z**4/36 + 2*z**2/3 + 21*z + 1. Determine j, given that h(j) = 0.
-2, 2
Let g be (-15)/27*1*-3. Factor -g*c**3 - 2/3*c**2 + 5/3*c + 2/3.
-(c - 1)*(c + 1)*(5*c + 2)/3
Find j, given that 8/5*j**2 + 0*j + 2*j**4 + 0 + 2/5*j**5 + 16/5*j**3 = 0.
-2, -1, 0
Suppose 3*y - 19 + 7 = 0. Suppose 4*n = 2*q + 6, 2*n - 9 = -2*n - q. What is c in -n*c**3 + 4/3 + 1/3*c**y - 4*c + 13/3*c**2 = 0?
1, 2
Suppose -5*b = -5*x - 25, 4*b - 23 = 3*x - 6. Let z be -3 - 46/(-28)*b. Factor 0*a + 0 - 8/7*a**5 - 10/7*a**3 - z*a**2 - 16/7*a**4.
-2*a**2*(a + 1)*(2*a + 1)**2/7
Determine p, given that 0 + 0*p - 7/2*p**3 + p**2 = 0.
0, 2/7
Let g(f) be the second derivative of f**7/1680 - f**5/240 - f**3/3 - 4*f. Let i(p) be the second derivative of g(p). Factor i(r).
r*(r - 1)*(r + 1)/2
Let u(g) = g**2 - 7*g + 8. Let z be u(6). Let m(f) be the first derivative of 3/5*f**z - 1