 + w*g**n + 0*g.
(g - 1)*(g + 1)/6
Let u(z) be the third derivative of 1/6*z**3 - 1/96*z**4 + 0*z - 1/1440*z**6 + z**2 + 0 + 1/240*z**5. Let m(g) be the first derivative of u(g). Factor m(b).
-(b - 1)**2/4
Let m be (28/35)/((-4)/(-50)). Suppose -3*j - 2*j + m = 0. Factor -2/3*d**4 - 4*d**j - 2/3 - 8/3*d - 8/3*d**3.
-2*(d + 1)**4/3
Let x(u) be the third derivative of 3*u**2 + 0*u - 1/40*u**4 + 0*u**3 + 1/100*u**6 + 0 + 1/100*u**5. Factor x(y).
3*y*(y + 1)*(2*y - 1)/5
Let 5 + 3 + 11*d**2 + 17*d**2 - 36*d = 0. Calculate d.
2/7, 1
Let r(g) be the third derivative of g**7/2940 - g**5/140 + g**4/42 - 7*g**3/6 + 6*g**2. Let w(o) be the first derivative of r(o). Factor w(p).
2*(p - 1)**2*(p + 2)/7
Let j(h) = h**2 + 5*h - 3. Suppose -9*g = -10*g - 6. Let w be j(g). Determine l so that 2*l**5 + 0*l**2 + 0 + 0*l**w + 0*l - 4/3*l**4 = 0.
0, 2/3
Let j(s) be the first derivative of -s**6/540 + s**5/135 - s**4/108 + s**2 - 1. Let x(g) be the second derivative of j(g). Factor x(l).
-2*l*(l - 1)**2/9
What is q in -q**2 + 7 + 17 + 3*q**3 + 36*q + 19*q**2 = 0?
-2
Let g(l) be the first derivative of l**5/30 - l**3/3 - 2*l**2/3 - 2*l + 3. Let s(j) be the first derivative of g(j). Determine f, given that s(f) = 0.
-1, 2
Let w(u) be the third derivative of -u**8/26880 + u**6/2880 + u**4/24 - 3*u**2. Let x(a) be the second derivative of w(a). Determine j so that x(j) = 0.
-1, 0, 1
Suppose 0*l - 3*l + 12 = 0. Let w = 3 + 1. Factor -s**2 - s**3 - s**3 + 2*s**l - 3*s**w.
-s**2*(s + 1)**2
Let s(b) be the third derivative of b**8/168 - 2*b**7/105 - b**6/30 + 2*b**5/15 + b**4/12 - 2*b**3/3 + 7*b**2. Solve s(j) = 0 for j.
-1, 1, 2
Let x = 14 + -12. Factor 0*w**x + 8*w**2 + 1 - w - 9 - 3*w + 4*w**3.
4*(w - 1)*(w + 1)*(w + 2)
Let b be (-18)/4*-1 - 8/2. What is q in -1/2*q**5 + 1/2 + b*q**4 - q**2 - 1/2*q + q**3 = 0?
-1, 1
Let c(n) = n**2 - 7*n + 1. Let y be c(4). Let w = 11 + y. Factor w + 3/4*h - 3/4*h**2.
-3*h*(h - 1)/4
Let f = 15 - 13. Factor -f*a**3 + 2*a**2 + 82 - 82.
-2*a**2*(a - 1)
Let g(c) be the first derivative of -c**5/25 + c**4/5 - 2*c**3/5 + 2*c**2/5 - c/5 - 7. Find h, given that g(h) = 0.
1
Let b(q) be the third derivative of q**6/480 - q**4/96 + 2*q**2. Factor b(m).
m*(m - 1)*(m + 1)/4
Let r(s) be the second derivative of s**4/4 + s**3 - 9*s**2/2 + 13*s. Determine w, given that r(w) = 0.
-3, 1
Factor 4*y**2 + 5*y**3 + 3*y**4 - 3*y**2 - 2*y**3 + 7*y**5 - 6*y**5.
y**2*(y + 1)**3
Let h(g) = -g**2 + 2*g - 18. Let m be h(0). Let r = m + 21. Let 2*y**2 + 2/3*y + 0 + 2/3*y**4 + 2*y**r = 0. What is y?
-1, 0
Let x be ((1 - 2) + 1)*(7 + -8). What is f in -2/7*f**4 + 0*f**2 + 0 + x*f**3 + 0*f = 0?
0
Suppose -3 - 13 = 4*r, 36 = 4*m - 4*r. Let j(u) be the third derivative of 4/3*u**3 - 1/60*u**6 - 2/3*u**4 + 0*u - 3*u**2 + 0 + 1/6*u**m. What is v in j(v) = 0?
1, 2
Suppose -6*v - 8 = -2*v. Let y be 1/16*-2*v. Factor -1/4*k - 1/4 + y*k**2 + 1/4*k**3.
(k - 1)*(k + 1)**2/4
Let x(i) be the first derivative of -2/9*i**3 + 1 - 1/3*i**2 + 2/3*i + 1/6*i**4. Factor x(d).
2*(d - 1)**2*(d + 1)/3
Let u(r) be the first derivative of 5*r**3/3 + 20*r**2 + 80*r + 10. Factor u(q).
5*(q + 4)**2
Let h(z) = -9*z**2 + 13*z - 9. Let p(i) = -8*i**2 + 12*i - 8. Let n(u) = -4*h(u) + 5*p(u). Factor n(s).
-4*(s - 1)**2
Let d(g) = g**3 + 8*g**2 - 3*g. Let s(p) = -p**2 + p. Suppose 0*b = -2*b - 10. Let y(m) = b*s(m) - d(m). Determine k so that y(k) = 0.
-2, -1, 0
Let m(i) = i. Let j(p) = p**2 - 9*p + 1. Suppose -2*s + 2*y + 4 = 0, -s - 4 = -3*s - y. Let a(f) = s*j(f) + 22*m(f). Factor a(r).
2*(r + 1)**2
Let v(a) be the first derivative of 3*a**3 - 3*a**2/2 - 8*a + 2. Let r(c) = c + 1. Let b(t) = 6*r(t) + v(t). Factor b(w).
(3*w - 1)*(3*w + 2)
Let o(u) be the second derivative of u**7/63 + 2*u**6/45 - u**4/9 - u**3/9 - u. Find a, given that o(a) = 0.
-1, 0, 1
Factor 3*r**5 + 3*r - 2*r + 3*r**4 - r.
3*r**4*(r + 1)
Find s, given that 5*s**3 + 13*s**4 - 17*s**5 + 2*s**5 - 23*s**4 = 0.
-1, 0, 1/3
Let r = 43/7 - 173/35. Factor -r*j + 3/5*j**2 + 3/5.
3*(j - 1)**2/5
Let z(n) be the third derivative of 0*n + 0*n**3 + 0 + 1/20*n**5 + 1/8*n**4 + n**2. Factor z(f).
3*f*(f + 1)
Let a = -9 - -14. Let x(b) = 3*b**2 - 6*b + 12. Let o(t) = -3*t**2 + 7*t - 12. Let u(w) = a*x(w) + 6*o(w). Determine q so that u(q) = 0.
2
Let 5*l**5 - 2*l**3 - 4*l**5 - 3*l**5 + 4*l**5 = 0. Calculate l.
-1, 0, 1
Let d be (-2560)/18 - 6/(-27). Let u = d - -712/5. Solve 2/5*f**3 - 2/5 - 2/5*f + u*f**2 = 0.
-1, 1
Suppose -6 = -3*g - 0. Factor n**3 + g*n**2 + 3*n + 2*n - 4*n.
n*(n + 1)**2
Let f(a) be the first derivative of -4*a**3/7 - 11*a**2/14 + a/7 + 22. Factor f(n).
-(n + 1)*(12*n - 1)/7
Factor -4 + 175*v**2 - 86*v**2 - 91*v**2 - 6*v.
-2*(v + 1)*(v + 2)
Suppose -20 = -2*j + 6*c - c, -3*j - 4*c + 7 = 0. Let w = 8 - j. Factor 1/4*u**2 + 1/4*u**w + 0 - 1/2*u.
u*(u - 1)*(u + 2)/4
Let u(v) = v**2 + 8*v + 5. Let p be u(-5). Let r be (-10)/(-12) + p/30. Find b such that -1/2*b**3 - r*b - b**2 + 0 = 0.
-1, 0
Let s = 21 + -18. Let o be 3/(-7) - (0 - 1). Solve 26/7*p - o + 18/7*p**s - 40/7*p**2 = 0 for p.
2/9, 1
Let q(i) = i**5 - 21*i**4 + 11*i**3 + 35*i**2 - 26. Let w(u) = -20*u**4 + 10*u**3 + 35*u**2 - 25. Let a(y) = 5*q(y) - 6*w(y). Determine o so that a(o) = 0.
-2, -1, 1
Suppose -6*o = -2*o - r - 65, 74 = 4*o + 2*r. Let a = o - 17. Let 0*w + a*w**3 - 2/7*w**5 + 0 + 0*w**2 + 2/7*w**4 = 0. Calculate w.
0, 1
Let b be -2 + 0 - 1*-2. Suppose 0 = -5*j + 8 + 7. Find c such that -4*c + 4*c + b*c**3 + c**2 + 2*c**j = 0.
-1/2, 0
Let f be (5 - (-29)/(-6))*18. Factor -4/3*j**2 - 2*j**f - 2/3*j**4 + 0*j + 0.
-2*j**2*(j + 1)*(j + 2)/3
Factor 33*q**3 - 23*q**3 - 5*q**5 - 4*q - q.
-5*q*(q - 1)**2*(q + 1)**2
Let a be (-2)/(-2) - (-9)/9. Factor -4*y**3 + y - 7*y - a - 21*y**2 - 5*y - 13*y**3 - 5*y**4.
-(y + 1)**3*(5*y + 2)
Let d(s) = 2*s**2 + 3*s. Let f be d(-2). Let z be 4 - (-2 + 2 + f). Find i, given that i**4 + 2*i**4 - z*i**4 = 0.
0
Suppose 8*w - 12*w + 16 = 0. Let t(x) be the first derivative of -1/10*x**w + 4 - 4/15*x**3 + 4/5*x + 1/5*x**2. Factor t(d).
-2*(d - 1)*(d + 1)*(d + 2)/5
Factor -4/5*b**2 - 8/5 + 12/5*b.
-4*(b - 2)*(b - 1)/5
Let v = 18 - 15. Suppose 2*i + 0*d - 3*d + 4 = 0, v*i = -3*d + 24. Factor 1/4*u**i + 0*u**3 + 0 - 1/4*u**2 + 0*u.
u**2*(u - 1)*(u + 1)/4
Let y(s) be the first derivative of s**8/560 - s**7/140 - s**6/120 + s**5/20 + 5*s**3/3 + 4. Let o(g) be the third derivative of y(g). Solve o(c) = 0 for c.
-1, 0, 1, 2
Let r(w) = -w**2 - w - 1. Let d(x) = -8*x**2 - 15*x - 9. Let s(i) = 4*d(i) - 36*r(i). Find p, given that s(p) = 0.
0, 6
Let t(p) = -3 + p + 3. Let o(x) = -x**2 + 8*x + 2. Let l(y) = 2*o(y) - 14*t(y). What is i in l(i) = 0?
-1, 2
Let i(o) be the third derivative of -o**5/120 + 7*o**4/48 + 21*o**2. Find m such that i(m) = 0.
0, 7
What is w in -3*w - 7*w**3 - 6*w**3 + 16*w**3 = 0?
-1, 0, 1
Let k(q) = q**2 + 4*q + 4. Let g be k(-6). Determine o so that g*o - 14*o - 5*o**2 + 4 + 3*o**2 = 0.
-1, 2
Factor 60/7*w**3 - 18/7*w**4 - 8/7 + 40/7*w - 74/7*w**2.
-2*(w - 1)**2*(3*w - 2)**2/7
Let t = -8 + 11. Suppose 0 = -3*q - 4*d + 4, -4*q = -2*d + 2 - 0. Factor q + 2*o**t - 7/4*o**2 - 3/4*o**4 + 1/2*o.
-o*(o - 1)**2*(3*o - 2)/4
Let m be -2 + 7 + 38/(-8). Solve -m*v + 0 - 1/4*v**2 = 0.
-1, 0
Factor 4*u**2 - u**5 + 21*u**4 + 12*u**3 + 5*u**5 - 9*u**4.
4*u**2*(u + 1)**3
Factor 0 - 2/5*a**2 - 2/5*a**3 + 0*a.
-2*a**2*(a + 1)/5
Let v(g) be the first derivative of g**6/480 + g**5/80 + g**4/32 + g**3/24 - 3*g**2/2 + 2. Let i(t) be the second derivative of v(t). Factor i(a).
(a + 1)**3/4
Let j = 3697/555 + 1/185. Let p = 7 - j. Factor -4/3*u**3 - u**2 + p*u + 0.
-u*(u + 1)*(4*u - 1)/3
Let k = -35 + 52. Let f = -14 + k. Solve 0*a**2 + 0*a + 2/9*a**f + 0 = 0 for a.
0
Let i = 1216/3 + -402. Let n = i + -3. Factor -1/3*t**3 + n*t + 1/3*t**4 - 1/3*t**2 + 0.
t*(t - 1)**2*(t + 1)/3
Let o(n) be the third derivative of -n**8/112 + 19*n**7/630 + n**6/9 + 2*n**5/15 + 5*n**4/24 + 5*n**2. Let v(z) be the second derivative of o(z). Factor v(l).
-4*(l - 2)*(3*l + 1)*(5*l + 2)
Let f(x) be the first derivative of x**5/100 + 9*x**2/2 - 3. Let q(t) be the second derivative of f(t). Factor q(w).
3*w**2/5
Let y(t) be the third derivative of 0*t + 0*t**3 + 0 + 1/108*t**6 + 1/945*t**7 + 4/135*t**5 + 2*t**2 + 1/27*t**4. Let y(u) = 0. Calculate u.
-2, -1, 0
Let a(k) be