). Let m be 8/(-8) - (-5)/4. Solve 0 - m*b**o + 1/4*b + 1/4*b**2 - 1/4*b**3 = 0 for b.
-1, 0, 1
Let y(q) be the third derivative of 4*q**2 + 0*q**3 + 0*q + 1/112*q**8 + 1/8*q**4 - 1/5*q**5 - 2/35*q**7 + 3/20*q**6 + 0. Let y(a) = 0. Calculate a.
0, 1
Let d(g) be the second derivative of 5*g**7/42 + g**6/6 - 3*g**5/2 - 35*g**4/6 - 55*g**3/6 - 15*g**2/2 + 9*g. Suppose d(a) = 0. Calculate a.
-1, 3
Factor -29 - 6*w**2 + 4*w**2 + 2*w**3 - 2*w + 31.
2*(w - 1)**2*(w + 1)
Suppose 0 = 3*j - 25 - 5. Suppose 0 + j = 5*f. Factor n**f + 0*n + 0*n - n.
n*(n - 1)
Let o(v) be the first derivative of 5*v**3/3 - 5*v**2 - 15*v + 21. Find m such that o(m) = 0.
-1, 3
Factor -4*s + 2*s + 8 - s**2 - 4*s - s.
-(s - 1)*(s + 8)
Let t(w) = -w - 1. Let r be t(-3). Let 3*d**3 - d**2 + 7*d - r + 2*d**4 - 10*d**3 + d**4 = 0. What is d?
-1, 1/3, 1, 2
Let k = 2/41 + 318/205. Let 2*l + k*l**3 - 16/5*l**2 - 2/5 = 0. Calculate l.
1/2, 1
Let m(g) be the second derivative of g**3/6 + 2*g. Let i be m(2). Factor -4*r + 5*r**5 - i*r**3 + 5*r - 4*r**5.
r*(r - 1)**2*(r + 1)**2
Let x = 7/6 - 2/3. Factor -j**3 + 1/2*j**4 + 0 + x*j**2 + 0*j.
j**2*(j - 1)**2/2
Let m(x) = x**4 + 6*x**3 + 3*x**2 - x. Let l(v) = -v**5 + v**4 + 13*v**3 + 5*v**2 - 3*v. Let z(k) = 3*l(k) - 5*m(k). Solve z(g) = 0.
-2, -2/3, 0, 1
Factor -3/2*s + 3/4*s**5 + 3/4*s**4 + 0 - 15/4*s**2 - 9/4*s**3.
3*s*(s - 2)*(s + 1)**3/4
Let p(g) = 4*g**5 + 12*g**4 + 12*g**3 - 28*g**2 - 16*g - 16. Let c(q) = -q**5 - 4*q**4 - 4*q**3 + 9*q**2 + 5*q + 5. Let f(j) = 16*c(j) + 5*p(j). Factor f(v).
4*v**2*(v - 1)**2*(v + 1)
Suppose k - 1 = 4*f, -k + 6 = f - 0*f. Factor 2*o**2 - 2*o + 14 - k*o - 6 - o.
2*(o - 2)**2
Let 0 - w**3 + 1/3*w**5 + 5/3*w**2 - 1/3*w**4 - 2/3*w = 0. What is w?
-2, 0, 1
Find t, given that 0*t**2 - 1/6*t**4 + 0*t + 0 - 1/6*t**3 = 0.
-1, 0
Let d be (-309)/1260 - -2*(-2)/(-16). Let h(v) be the third derivative of 2*v**2 + 0*v**4 - 1/21*v**3 + 0 + d*v**5 + 0*v. Factor h(o).
2*(o - 1)*(o + 1)/7
Let f(b) be the third derivative of 0 + 1/20*b**6 + 4/3*b**3 - 3*b**2 + 0*b**4 + 0*b - 7/30*b**5. Factor f(i).
2*(i - 2)*(i - 1)*(3*i + 2)
Find g such that 0 - 1/4*g - 1/4*g**2 = 0.
-1, 0
Let l(t) be the first derivative of -t**6/30 + t**5/10 - t**3/3 + t**2/2 - 2*t + 2. Let a(b) be the first derivative of l(b). Solve a(u) = 0 for u.
-1, 1
Let y(r) be the first derivative of -2*r**3/21 - 2*r**2/7 - 2*r/7 - 10. Factor y(j).
-2*(j + 1)**2/7
Let m(p) be the third derivative of -1/105*p**5 - 1/420*p**6 + p**2 + 0*p**3 + 0*p - 1/84*p**4 + 0. Factor m(w).
-2*w*(w + 1)**2/7
Let r = 1 + 2. Let v(x) be the second derivative of 2*x - 1/18*x**4 - 1/126*x**7 - 1/18*x**r + 1/90*x**6 + 0 + 1/6*x**2 + 1/30*x**5. Factor v(z).
-(z - 1)**3*(z + 1)**2/3
Suppose 6*o - 2*o + 5*v + 8 = 0, -5*o + 3*v + 27 = 0. Solve -6/7*z**o + 0 - 2/7*z - 10/7*z**2 + 18/7*z**4 = 0 for z.
-1/3, 0, 1
Let d(p) be the third derivative of p**7/2940 + 4*p**3/3 - 6*p**2. Let g(c) be the first derivative of d(c). Factor g(j).
2*j**3/7
Let b(x) be the third derivative of x**6/180 - x**3 - 3*x**2. Let t(p) be the first derivative of b(p). Factor t(r).
2*r**2
Let d be (-2*(-60)/(-8))/(-1). Let y be 40/d + -2 + 0. Factor -y*k + 2/3*k**2 + 0.
2*k*(k - 1)/3
Suppose -2*h + 4 = -0*h. What is q in 49*q + 24*q**2 - 53*q - 2*q**h = 0?
0, 2/11
Suppose 0*h + 4*h - 16 = 0. Suppose 0 = h*a - 2*a. Find y, given that -y**3 + a*y + 0 - 1/2*y**2 - 1/2*y**4 = 0.
-1, 0
Let u(v) be the first derivative of v**8/3360 - v**7/840 + v**5/120 - v**4/48 + v**3 - 2. Let c(k) be the third derivative of u(k). Factor c(z).
(z - 1)**3*(z + 1)/2
Let q = -15 - -25. Suppose -6*f = -f - q. Factor -4*g**4 + 5*g**5 + g + 6*g**3 - 2*g**f - 2*g**2 - 4*g**5.
g*(g - 1)**4
Suppose 6*i = 2*g + 8*i - 6, -3 = -g + 2*i. Find n such that 0*n**2 - 1/5 - 2/5*n**g + 1/5*n**4 + 2/5*n = 0.
-1, 1
Let d(x) = 39*x**4 + 12*x**3 - 39*x**2 - 66*x. Let s(i) = -3*i**4 - i**3 + 3*i**2 + 5*i. Let c(p) = -2*d(p) - 27*s(p). Factor c(v).
3*v*(v - 1)*(v + 1)**2
What is n in 5/6*n**2 + 25/6*n + 10/3 = 0?
-4, -1
What is h in -32/3*h**4 + 80/3*h**3 + 20/3*h - 22*h**2 - 2/3 = 0?
1/4, 1
Let a(x) be the second derivative of 2*x**3/3 + x**2/2 + 2*x. Let l be a(1). Let 4*b - b + 2*b**2 - 2*b**4 + 2*b**3 - l*b = 0. Calculate b.
-1, 0, 1
Let k(a) be the third derivative of a**6/60 - 7*a**5/120 - a**4/24 + 12*a**2. Suppose k(z) = 0. Calculate z.
-1/4, 0, 2
Let h(t) be the third derivative of -1/60*t**5 + 0*t - 1/18*t**3 + 0 - 5*t**2 - 1/18*t**4. Let h(m) = 0. Calculate m.
-1, -1/3
Find j, given that j - j**3 + 3*j**3 - j**3 - 2*j**2 = 0.
0, 1
Suppose 53 = -18*r + 53. Let r*l + 0*l**3 + 3/7*l**4 + 3/7 - 6/7*l**2 = 0. What is l?
-1, 1
Let -5/2*o**2 + 3/2*o**3 + 1/2*o + 0 + 9/2*o**4 = 0. Calculate o.
-1, 0, 1/3
Let -4/5*l + 38/5*l**4 + 0 + 46/5*l**2 - 16*l**3 = 0. What is l?
0, 2/19, 1
Let m(x) be the third derivative of x**6/30 - x**5/15 - 7*x**2. Suppose m(b) = 0. Calculate b.
0, 1
Let l = 1 + -21. Let a be 40/l + 16/5. Let 3/5 - a*n + 3/5*n**2 = 0. What is n?
1
Let s(h) be the second derivative of -4*h + 0*h**2 + 0*h**3 + 1/36*h**4 + 1/45*h**6 + 1/24*h**5 + 0 + 1/252*h**7. Factor s(d).
d**2*(d + 1)**2*(d + 2)/6
Factor 2/5*s - 4/5*s**2 + 4/5 - 2/5*s**3.
-2*(s - 1)*(s + 1)*(s + 2)/5
Let d = 3/59 - -14/885. Let u(j) be the first derivative of d*j**3 - 1/10*j**2 + 0*j - 1. Factor u(a).
a*(a - 1)/5
Let t be 128/10 + (-2)/(-10). Suppose 5*i = 2*d - t - 20, 2*d - i = 13. Factor 23*y**d + 14*y**5 - 4*y**2 + 19*y**4 - 18*y**4 + 6*y**3.
2*y**2*(y + 1)**2*(7*y - 2)
Let x(p) be the third derivative of 5*p**8/336 - p**7/14 + p**6/12 + p**5/6 - 5*p**4/8 + 5*p**3/6 - 7*p**2. Suppose x(m) = 0. Calculate m.
-1, 1
Let h = -67511/5 + 13561. Factor h*l**2 + 84/5*l + 343/5*l**3 + 8/5.
(7*l + 2)**3/5
Let k(n) be the first derivative of -n**4/12 - n**3/9 + n**2/6 + n/3 - 35. Factor k(z).
-(z - 1)*(z + 1)**2/3
What is a in -6*a**3 + 3 + 27/4*a - 9/2*a**4 - 3/4*a**5 + 3/2*a**2 = 0?
-4, -1, 1
Factor -3/2*v - 3/2*v**3 + 0 + 3*v**2.
-3*v*(v - 1)**2/2
Let a(m) be the first derivative of m**9/16632 + m**8/9240 - m**7/4620 - m**6/1980 + m**3 - 2. Let u(p) be the third derivative of a(p). Factor u(x).
2*x**2*(x - 1)*(x + 1)**2/11
Factor -12*d**2 + 0*d - 8*d + 10*d**3 - 2*d**3 + 12*d**4 + 0*d.
4*d*(d - 1)*(d + 1)*(3*d + 2)
Let n(i) = i**3 - 5*i**2 - 3*i + 7. Let d be n(5). Let j = d - -15. Let 8 + 0*c - j*c + 2*c**2 - c = 0. Calculate c.
2
Let 0 - 3/7*u**3 - 15/7*u**2 + 3/7*u**4 - 9/7*u = 0. Calculate u.
-1, 0, 3
Let i(u) = -u - 5. Let t be i(-7). What is r in 0*r**2 - 2*r**2 + 3*r**2 - t*r**2 = 0?
0
Let l(v) be the second derivative of v**6/120 - v**5/80 + 6*v. Factor l(o).
o**3*(o - 1)/4
Let w(z) be the third derivative of z**6/24 + z**5/3 + 5*z**4/6 - 15*z**2. Let w(s) = 0. Calculate s.
-2, 0
Let u(m) = -m**3 + 11*m - 2*m**2 + 7*m**2 - 10*m - 2. Let r be u(5). Factor p**r - p + 0*p**4 + 2*p**4 - p**2 - p**4 + 0*p**3.
p*(p - 1)*(p + 1)**2
Let h(i) be the third derivative of 4*i**2 + 0*i - 1/2*i**3 + 0*i**4 + 1/20*i**5 + 0. Determine y so that h(y) = 0.
-1, 1
Let r(k) be the third derivative of -k**8/784 - k**7/147 - k**6/120 + k**5/105 + k**4/42 - k**2 - 12*k. Determine x, given that r(x) = 0.
-2, -1, 0, 2/3
Let u be ((-8)/5 - -2)*15. Let c(z) = -z**2 + 7*z - 4. Let y be c(6). Factor 6*q**2 + 0*q**y - q**3 + 2 + 3*q**3 + u*q.
2*(q + 1)**3
Let g(q) = 2*q - 5. Let r be g(5). Suppose 2*m + 7*o - 22 = 3*o, -r*m - 2*o = -23. Solve -2*s**2 + 0*s**m - 3*s**3 + 2 - s + 4*s**3 = 0 for s.
-1, 1, 2
Find j, given that -1/3*j**2 + 0 + 2/9*j - 1/9*j**3 - 1/9*j**5 + 1/3*j**4 = 0.
-1, 0, 1, 2
Let i = 92 - 87. Let a(b) be the second derivative of 1/9*b**3 + 0 + 1/9*b**4 - 1/30*b**i - 2/3*b**2 - 3*b. Solve a(j) = 0.
-1, 1, 2
Let l = 121 - 241/2. Find o, given that -3/2*o**5 - o + 1/2*o**4 + 5/2*o**3 + 0 - l*o**2 = 0.
-1, -2/3, 0, 1
Let v(a) be the second derivative of 3*a**5/20 + 7*a**4/12 + 5*a**3/6 + a**2/2 + 4*a. Suppose v(m) = 0. Calculate m.
-1, -1/3
Let c = 10 - 7. Factor -j + 5*j**c + 2 - 6*j**4 - 3*j + 4*j**4 - j**3.
-2*(j - 1)**3*(j + 1)
Let y(t) = t**3 - t**2 - t + 88. Let f be y(0). Let w = f + -262/3. Factor 4/3*l**2 - 1/3*l**3 - 5/3*l + w.
-(l - 2)*(l - 1)**2/3
Let x(z) be the second derivative of -2*z**6/105 - z**5/70 - 23*z. Factor x(r).
-2*r**3*(2*r + 1)/7
Let d be 2 - 6 - (-5 + 3). Let