/72*g**4 + 1/360*g**6 + 0*g**3. Factor q(b).
b*(b - 1)*(b + 1)/3
Let u = -1776876775/777 - -2286843. Let l = u + -2/111. What is a in l - 2/7*a**2 - 2/7*a + 2/7*a**3 = 0?
-1, 1
Let n(p) be the third derivative of -p**8/28 - 2*p**7/105 + 3*p**6/10 + 3*p**5/5 + p**4/3 - 4*p**2. Determine f, given that n(f) = 0.
-1, -1/3, 0, 2
Let u = 9 - 5. Suppose 5*j - 35 = -5*q, 5*j - u*q - 15 = 2. Factor 0*o**2 - 2*o**4 - o**3 + o**2 + o**4 + o**j.
o**2*(o - 1)**2*(o + 1)
Let l(w) = 9*w**3 - 17*w**2 - 34*w + 37. Let o(y) = 5*y**3 - 9*y**2 - 18*y + 19. Let f(h) = 3*l(h) - 5*o(h). Factor f(u).
2*(u - 4)*(u - 1)*(u + 2)
Let r(b) = b**2 + b + 1. Let o(d) = -7*d**3 + 9*d**2 - 2*d + 3. Let f(v) = -v**3 + v**2 - v. Let u(y) = 6*f(y) - o(y). Let l(j) = 3*r(j) + u(j). Factor l(k).
k*(k - 1)*(k + 1)
Let d(g) be the first derivative of 2*g**6/21 - 4*g**5/7 + 10*g**4/7 - 40*g**3/21 + 10*g**2/7 - 4*g/7 + 26. Factor d(w).
4*(w - 1)**5/7
Let m(x) = 24*x**3 - 10*x**2 - 14*x + 14. Let d(g) = -5*g**3 + 2*g**2 + 3*g - 3. Let h(k) = 14*d(k) + 3*m(k). Factor h(f).
2*f**2*(f - 1)
Let d be -3 - (6/3 + -9). Suppose 3*q = 6, -4*q + 17 = -g + d*g. Factor 2/3*c**g - 2/3*c + 0 + 2/3*c**2 - 2/3*c**4.
-2*c*(c - 1)**2*(c + 1)/3
Let l = 88/3 + -29. Let b = -12 + 15. Factor -1/3*p**4 + 1/3*p**2 + 1/3*p**b + 0 - l*p.
-p*(p - 1)**2*(p + 1)/3
Let n(d) be the third derivative of 0 - 1/120*d**6 + 1/3*d**3 + 4*d**2 + 1/15*d**5 + 0*d - 5/24*d**4. Let n(g) = 0. What is g?
1, 2
Let t(u) be the second derivative of -u**5/40 - 3*u**4/16 - 5*u**3/12 - 3*u**2/8 + u. Let t(j) = 0. What is j?
-3, -1, -1/2
Let h(j) = -6*j**4 - 4*j**3 - 4*j - 7. Let z(i) = i**4 + i**3 + 1. Let u = 2 - 23. Let w(b) = u*z(b) - 3*h(b). Let w(x) = 0. Calculate x.
-2, 0, 1
Factor 3*l**2 - 3*l**3 + 4*l**3 + 2 + 2*l**4 - 5*l - 3*l**4.
-(l - 1)**3*(l + 2)
Let c be (10 + -10)/(-1 + 1 + -1). Let w(h) be the first derivative of 4 - 1/5*h**2 - 1/10*h**4 + c*h + 4/15*h**3. Let w(m) = 0. Calculate m.
0, 1
Let r = 51 + -91. Let n be (r/(-350))/((-2)/(-10)). Suppose n*w**2 - 2/7*w**3 + 2/7*w - 4/7 = 0. Calculate w.
-1, 1, 2
Let b(q) be the second derivative of q**9/52920 - q**7/4410 + q**5/420 + q**4/6 + 5*q. Let w(p) be the third derivative of b(p). Solve w(d) = 0.
-1, 1
Let z(o) be the second derivative of -4/9*o**2 + 0 + 4/27*o**3 - o - 1/54*o**4. Factor z(a).
-2*(a - 2)**2/9
Let n = 21 - 17. Let 6/11*a**3 + 0 + 2/11*a - 2/11*a**n - 6/11*a**2 = 0. Calculate a.
0, 1
Suppose 0 = 4*a + 4, 2*a = 6*i - 4*i - 6. Let n be (7 - 1)/i + 0. Find q, given that 28*q**2 + 3 + 4 - 32*q**n - 12*q - 9*q**4 - 5 - 4*q**5 + 27*q**4 = 0.
1/2, 1
Let o(l) = 12*l + 15. Let b(f) = f**3 - 1. Let r(s) = -5*b(s) + 5*o(s). What is d in r(d) = 0?
-2, 4
Suppose 5*h - 3*m = 16, h - 6*m + m - 12 = 0. Find l such that 14/9*l**4 + 0*l + 0 + 0*l**h + 4/9*l**3 = 0.
-2/7, 0
What is z in 30*z + 15*z**2 - 8*z**3 - 52*z + 30*z + 1 - 16*z**4 = 0?
-1, -1/4, 1
Let h(u) be the third derivative of 5*u**8/784 - 8*u**7/735 - 11*u**6/840 + 4*u**5/105 - u**4/42 - 12*u**2. Find t, given that h(t) = 0.
-1, 0, 2/5, 2/3, 1
Let i(r) be the first derivative of -2 + 0*r**2 - 1/360*r**6 - 1/120*r**5 + 1/3*r**3 + 0*r + 0*r**4. Let n(p) be the third derivative of i(p). Factor n(x).
-x*(x + 1)
Suppose 17 = 5*n - 3. Let p(x) be the third derivative of -2*x**2 + 0*x - 1/90*x**5 + 0 + 0*x**n + 0*x**3. Suppose p(i) = 0. Calculate i.
0
Suppose 0 = -v + 2*v - 2. Factor 2*j**3 - 21*j + 23*j + 2*j**2 + v*j**2.
2*j*(j + 1)**2
Suppose 3*n - 2*r - 10 = -0*n, 5*r = -10. Suppose 2*g - 2 = n. Find p such that -5*p**3 - g*p**2 + p**3 - 20*p**4 + 18*p**4 = 0.
-1, 0
Let g(t) be the first derivative of -1/2*t**4 + 2/5*t**5 + 0*t - 2/3*t**3 + 2 + t**2. Factor g(p).
2*p*(p - 1)**2*(p + 1)
Suppose 2*d = -0*d. Let j = 51 - 51. Solve d + 0*z + 0*z**2 + 0*z**3 + j*z**4 - 1/3*z**5 = 0 for z.
0
Suppose w + w = 0. Let c(z) = z**2 + z + 2. Let i be c(w). Solve -2/7*h**i + 2/7*h + 0 = 0.
0, 1
Let d(o) = 5*o**3 - 5*o**2 + 480*o + 635. Let h(w) = w**3 - w**2 + 80*w + 106. Let f(j) = -6*d(j) + 35*h(j). Let f(l) = 0. Calculate l.
-2, 5
Let s be (63/9 + -7)/(-1). Solve s*z + 0*z**3 + 0*z**2 - 1/2*z**5 + 1/2*z**4 + 0 = 0.
0, 1
Let s = 22 + -22. Let m(j) be the third derivative of 1/60*j**5 + 0 - 1/24*j**4 + s*j + 0*j**3 + 2*j**2. Factor m(x).
x*(x - 1)
Let i(u) be the second derivative of -u**6/60 - 7*u**5/120 + u**4/8 + 7*u**3/36 - u**2/2 + 3*u. Let i(o) = 0. Calculate o.
-3, -1, 2/3, 1
Factor 22*r + 3*r**2 + 13*r - 25*r**4 + 15 - 34*r**5 + 29*r**5 + 7*r**2 - 30*r**3.
-5*(r - 1)*(r + 1)**3*(r + 3)
Let f(q) be the first derivative of -q**5/5 + 5*q**4/4 - 2*q**3 + 2*q**2 + 4. Let k(b) = b**4 - 5*b**3 + 5*b**2 - 4*b. Let u(a) = -6*f(a) - 4*k(a). Factor u(x).
2*x*(x - 2)**2*(x - 1)
Let j(a) be the second derivative of -a**6/1620 - a**5/270 - 3*a**3/2 + 4*a. Let n(q) be the second derivative of j(q). Factor n(o).
-2*o*(o + 2)/9
Let l = -45/2 - -23. Determine z, given that 0*z**2 - l*z**4 + 0*z - 1/2*z**3 + 0 = 0.
-1, 0
Let q(b) = 22*b**5 - 28*b**4 - 2*b**3 + 12*b**2 - 4*b - 4. Let g(t) = 23*t**5 - 28*t**4 - 3*t**3 + 13*t**2 - 5*t - 5. Let u(r) = 4*g(r) - 5*q(r). Factor u(y).
-2*y**2*(y - 1)**2*(9*y + 4)
Let y(t) be the third derivative of t**6/180 + t**5/18 + 7*t**4/36 + t**3/3 - 2*t**2. Factor y(a).
2*(a + 1)**2*(a + 3)/3
Let c = -10 - -12. Find u such that 2/5*u**5 + 0*u - 2/5*u**3 + 2/5*u**c - 2/5*u**4 + 0 = 0.
-1, 0, 1
Let y(b) = -3*b - 51. Let w be y(-17). Suppose -4*z = -3*q - 2*q + 15, 0 = z. Factor -2/7*h**q - 4/7*h**4 + w + 0*h**2 - 2/7*h**5 + 0*h.
-2*h**3*(h + 1)**2/7
Let k(m) be the third derivative of -m**7/504 - 13*m**6/1080 - m**5/90 + m**4/18 + m**3/6 + 3*m**2. Let c(j) be the first derivative of k(j). Factor c(a).
-(a + 1)*(a + 2)*(5*a - 2)/3
Let t(q) be the first derivative of 2/3*q**2 - 11/36*q**4 + q + 1/10*q**6 + 2/9*q**3 - 1/10*q**5 + 1. Let m(s) be the first derivative of t(s). Factor m(w).
(w - 1)**2*(3*w + 2)**2/3
Let t(d) = -10*d**5 + 2*d**4 + 8*d**3 - 9. Let s(l) = -l**5 + l**3 - 1. Let w = 0 - 2. Suppose -u - 3*u + 72 = 0. Let i(r) = u*s(r) + w*t(r). Factor i(g).
2*g**3*(g - 1)**2
Suppose -2*b = -4*l - 6, -2*l - b + 3 + 0 = 0. Factor -1 + 6*x**2 + 3*x**2 + 11*x**3 + x + x**4 + l*x + 3*x**4.
(x + 1)**3*(4*x - 1)
Suppose 0*n**2 - 4*n**4 + 48/7*n**5 + 0 + 0*n + 4/7*n**3 = 0. Calculate n.
0, 1/4, 1/3
Let s(w) be the third derivative of -w**8/21 - 22*w**7/105 + 23*w**6/30 + 7*w**5/15 - 19*w**4/6 + 8*w**3/3 - 3*w**2. Determine f so that s(f) = 0.
-4, -1, 1/4, 1
Suppose -4/19*u + 6/19 - 2/19*u**2 = 0. Calculate u.
-3, 1
Determine s so that 0 - 1/8*s**2 - 9/8*s = 0.
-9, 0
Let z(u) be the second derivative of -u**7/105 - u**6/25 - u**5/25 - 16*u. Factor z(s).
-2*s**3*(s + 1)*(s + 2)/5
Suppose 38/13*k + 14/13*k**2 - 12/13 = 0. What is k?
-3, 2/7
Let u(o) be the second derivative of o**9/12096 + o**8/6720 - o**7/3360 - o**6/1440 - o**3/2 + o. Let a(w) be the second derivative of u(w). Factor a(l).
l**2*(l - 1)*(l + 1)**2/4
Let f(z) be the first derivative of z**6/480 + z**5/120 + z**4/96 + 3*z**2/2 - 1. Let d(y) be the second derivative of f(y). Solve d(p) = 0.
-1, 0
Let l be 14/(-8)*(-18)/21*1. Factor l*z**2 + 3/2*z + 1/2*z**3 + 1/2.
(z + 1)**3/2
Let h(n) = -n**5 + n**4 + n**3 - n + 1. Let w(x) = -6*x**5 + 62*x**4 + 194*x**3 - 40*x**2 - 710*x + 510. Let t(u) = 10*h(u) - w(u). Suppose t(d) = 0. What is d?
-5, 1
Let p(u) = -3*u**2 - 3*u + 3. Let q(o) = -9*o**2 - 2*o + 2. Let m(z) = -10*z**2 - z + 1. Let l(a) = 3*m(a) - 4*q(a). Let y(r) = -3*l(r) - 5*p(r). Factor y(k).
-3*k**2
Let k(d) = -9*d**5 - 6*d**4 + 8*d**3 + 6*d**2 + 2*d. Let v(l) = -l. Let c be (2/3)/((-10)/15). Let q(z) = c*k(z) - v(z). Factor q(y).
y*(y - 1)*(y + 1)*(3*y + 1)**2
Let a = -1/52 + 29/156. Let l(h) be the first derivative of h**2 + a*h**3 + 1 + 2*h. Determine f so that l(f) = 0.
-2
Let z(h) be the third derivative of 0*h**4 + h**2 + 1/480*h**6 + 0 + 0*h - 1/840*h**7 + 0*h**5 + 0*h**3. Factor z(t).
-t**3*(t - 1)/4
Let p be 3/(-1) - (-2706)/900. Let s(w) be the third derivative of 0*w + p*w**5 + w**2 - 1/20*w**4 + 2/15*w**3 + 0. Determine i so that s(i) = 0.
1, 2
Solve 1/2*l**4 + 0*l**3 - 3/2*l**2 - l + 0 = 0.
-1, 0, 2
Suppose -4*t - 2 = -26. Let q be (-6*t/(-9))/2. Solve -2*p + q - 2*p**2 + 2*p = 0 for p.
-1, 1
Suppose 3*i = 9*i. Let l(n) be th