. Factor z(o).
2*o*(o + 1)*(5*o + 2)/3
Factor 1/9 + 1/3*w**2 + 1/3*w + 1/9*w**3.
(w + 1)**3/9
Suppose 0 = -x + 2*r + 4, -4*x - r = -0*r + 2. Factor -2/7*d**3 + 0 + x*d - 2/7*d**2.
-2*d**2*(d + 1)/7
Let c(g) be the second derivative of g**7/1680 - g**6/480 - g**5/40 - g**4/6 - 4*g. Let q(u) be the third derivative of c(u). Factor q(z).
3*(z - 2)*(z + 1)/2
Suppose 3*w + 4*s = 3 - 2, 16 = 2*w - 5*s. Factor 2*b**3 - b**2 - w*b**2 + 0*b**3.
2*b**2*(b - 2)
Solve 0 + 2/11*x**3 + 0*x**2 - 8/11*x = 0 for x.
-2, 0, 2
Let j(p) be the third derivative of p**7/1050 - p**6/600 - 10*p**2. Factor j(g).
g**3*(g - 1)/5
Let y(b) = 8*b**2 + 10*b + 2. Let s(n) = 17*n**2 + 21*n + 4. Let f(m) = -6*s(m) + 13*y(m). Solve f(j) = 0 for j.
-1
Let w = 1 - -2. Suppose 2*m + 2 = w*m. Solve 4*z**3 - 1 - 3 + 6 - 4*z - m*z**4 = 0 for z.
-1, 1
Let x(d) = 5*d**2 + d. Let b be (-8)/((-6)/3 + 0). Let p(u) = 21*u**2 + 4*u. Let s(w) = b*p(w) - 18*x(w). Determine j, given that s(j) = 0.
-1/3, 0
Let x(y) = -5*y**2 - 4*y + 9. Let k(w) = 4*w**2 + 4*w - 8. Let j(l) = 3*k(l) + 2*x(l). Factor j(c).
2*(c - 1)*(c + 3)
Let q = 242/3 - 80. Determine s so that 0 - 2/9*s**3 + 2/9*s - q*s**2 + 2/3*s**4 = 0.
-1, 0, 1/3, 1
Let u(t) be the third derivative of -t**7/10080 - t**6/2880 - t**4/12 - 2*t**2. Let q(b) be the second derivative of u(b). Determine i, given that q(i) = 0.
-1, 0
Let m(a) be the second derivative of a**6/3 + 3*a**5/10 - 7*a**4/6 - a**3 + 2*a**2 + 3*a. Factor m(w).
2*(w - 1)*(w + 1)**2*(5*w - 2)
Factor 2/9*f**2 + 0 + 2*f.
2*f*(f + 9)/9
Factor 652 - 75*i**3 + 526 + 358 + 648*i**2 + 3*i**4 - 2112*i.
3*(i - 8)**3*(i - 1)
Suppose -3*k + 0*y = -5*y + 3, k - 7 = -y. Let p(n) be the first derivative of -2*n - 77/6*n**3 + 49/8*n**k + 8*n**2 - 2. Factor p(b).
(b - 1)*(7*b - 2)**2/2
Let c(h) be the third derivative of -h**11/997920 + h**9/181440 - h**5/10 - 4*h**2. Let o(m) be the third derivative of c(m). Let o(z) = 0. Calculate z.
-1, 0, 1
Find a such that 0 + 0*a + 0*a**2 - 1/5*a**5 + 3/5*a**4 + 0*a**3 = 0.
0, 3
Let s(g) be the third derivative of 6*g**2 - 1/72*g**4 + 0*g - 1/9*g**3 + 1/180*g**5 + 0. Solve s(n) = 0 for n.
-1, 2
Let r(s) be the first derivative of -s**3 - 6*s**2 - 12*s - 15. Suppose r(f) = 0. Calculate f.
-2
Suppose 11*m + 24*m - 140 = 0. Determine n so that -4/5*n**3 + 2/5*n**m + 0*n + 0 + 2/5*n**2 = 0.
0, 1
Let i be 51/(-170) + 86/20. Find a such that 0 + 1/5*a**i + 0*a + 3/5*a**3 + 2/5*a**2 = 0.
-2, -1, 0
Find d such that 4/3*d**5 + 0 + 0*d + 2/3*d**3 + 0*d**2 + 2*d**4 = 0.
-1, -1/2, 0
Let f(d) be the first derivative of 3 + 1/72*d**4 + 0*d - 1/270*d**6 + 0*d**2 + 2/3*d**3 + 1/120*d**5. Let k(j) be the third derivative of f(j). Factor k(q).
-(q - 1)*(4*q + 1)/3
Factor 2*a**2 - 3*a**2 + a**2 + 4*a**4 - 4*a**2.
4*a**2*(a - 1)*(a + 1)
Suppose -5*d + 10 = -0*d. Suppose -g = -2*g + 3. Suppose -9*x + 7*x**g - 4 - 2*x**2 + x**5 + x + 5*x**4 + x**d = 0. What is x?
-2, -1, 1
Suppose -3*o + 64 = -5*a + 1, 0 = -a - 3. Let h be o/40 + (-51)/(-10). Solve -8*k**3 + h*k**2 + 0 + 7/2*k**4 - k = 0 for k.
0, 2/7, 1
Let g(l) be the first derivative of -l**5/5 + l**4/6 + 2*l**3/3 - l**2 - 2*l + 2. Let d(n) be the first derivative of g(n). Determine j so that d(j) = 0.
-1, 1/2, 1
Let q(i) = i**2 + 6*i - 10. Let t be q(-7). Let c = 2 - t. Factor -4 + 4 - 7*n - 2 - c*n**2.
-(n + 1)*(5*n + 2)
Let d = -4288/13 - -330. Factor 0*f + 0*f**2 + d*f**3 - 2/13*f**5 + 0*f**4 + 0.
-2*f**3*(f - 1)*(f + 1)/13
Let o(z) = z**3 + 8*z**2 + 7*z. Let n be o(-7). Let m(a) be the second derivative of 1/30*a**3 + n + 0*a**2 - 2*a + 1/50*a**5 + 1/20*a**4. Factor m(r).
r*(r + 1)*(2*r + 1)/5
Factor 0 + 3/7*n**2 - 3/7*n.
3*n*(n - 1)/7
Suppose -6*s = -0*s - 30. Suppose 4*o + 20 = 5*d, -d = -o - 0*d - 4. Factor o*k**2 + 0*k + 2/11*k**s + 2/11*k**4 + 0*k**3 + 0.
2*k**4*(k + 1)/11
Let g(d) be the first derivative of 2*d**3/45 + 2*d**2/5 + 6*d/5 - 3. Solve g(r) = 0.
-3
Factor 4/5*k**2 - 2/5*k - 2/5*k**3 + 0.
-2*k*(k - 1)**2/5
Let d be (-1)/5 - -4*(-2)/(-40). Suppose 0*w - 1/3*w**3 + d + 0*w**2 - 1/3*w**4 = 0. What is w?
-1, 0
Suppose 3*v = 7*v. Let i = 37 - 33. Find r, given that -1/3*r**i + 0 + v*r - 1/3*r**3 + 0*r**2 = 0.
-1, 0
Let o = 2/3141 - -150758/15705. Factor o + 147/5*y**4 - 384/5*y + 936/5*y**2 - 672/5*y**3.
3*(y - 2)**2*(7*y - 2)**2/5
Suppose 2 = -5*o + 12. Let f(b) be the second derivative of 2/3*b**3 + 2*b + 0*b**o + 3/10*b**5 + 0 + 5/6*b**4. Determine a so that f(a) = 0.
-1, -2/3, 0
Let c be ((-4 - 0) + 4)/(-4). Factor c - 1/2*u**2 - u.
-u*(u + 2)/2
Suppose 0*l = -5*y + l + 214, -5*l = -y + 62. Let t be -6 + 3 - y/(-8). Factor 1/4*i - 4*i**4 - t*i**2 + 0 + 6*i**3.
-i*(i - 1)*(4*i - 1)**2/4
Suppose 0 = 3*b - 5*b + f + 12, -24 = -5*b + f. Let n be (-1)/(-1) - (-9 + 6). Find i, given that -2*i + 0*i - 10*i**2 + 6*i**2 + b*i**n + 2*i**5 = 0.
-1, 0, 1
Let q be 34/(-9) - (-72)/18. Find s such that -q*s + 2/9*s**2 + 0 = 0.
0, 1
Find l, given that 0 - 10/3*l**2 + 0*l - 5/3*l**3 + 5/3*l**4 = 0.
-1, 0, 2
Let g(u) be the second derivative of -u**2 + 0 + 1/20*u**6 + 3*u - 2/3*u**3 + 1/15*u**5 - 1/4*u**4. Let p(d) be the first derivative of g(d). Factor p(f).
2*(f - 1)*(f + 1)*(3*f + 2)
Let c(w) be the second derivative of w**6/105 - w**5/14 + w**4/7 + 4*w**3/21 - 8*w**2/7 + 3*w. Factor c(i).
2*(i - 2)**3*(i + 1)/7
Let w(i) be the first derivative of -3*i**4 - 7*i**3 - 3*i**2 + 3*i - 35. Solve w(l) = 0 for l.
-1, 1/4
Let q(u) be the second derivative of u**5/40 + u**4/6 + u**3/3 - 2*u. Factor q(g).
g*(g + 2)**2/2
Let m(j) = j**3 - 6*j**2 - 3*j. Let f(z) = -4*z**3 + 19*z**2 + 9*z. Let p(g) = 6*f(g) + 21*m(g). Factor p(x).
-3*x*(x + 1)*(x + 3)
Let z(f) be the first derivative of f**7/2100 + f**6/450 + f**5/300 - 2*f**3 - 6. Let t(u) be the third derivative of z(u). Factor t(n).
2*n*(n + 1)**2/5
Let w(r) be the first derivative of 5*r**3/3 - 20*r**2 - 100*r + 61. Solve w(g) = 0.
-2, 10
Factor 24 + 43*q + 4*q**3 - 5*q + 32*q**2 + 14*q.
4*(q + 1)**2*(q + 6)
Find z, given that -1/9*z**4 + 0 - 1/9*z - 1/3*z**3 - 1/3*z**2 = 0.
-1, 0
Factor -t**2 - 313*t + 2 + 4 + 318*t.
-(t - 6)*(t + 1)
Let j be (-1)/(((-12)/(-8) + -1)/(-1)). Let c(u) be the first derivative of 0*u - 7/9*u**3 + 1/3*u**2 + j - 1/3*u**4. Factor c(y).
-y*(y + 2)*(4*y - 1)/3
Let m be (-19 - -19)*(-1)/2. Factor 1/2*n**4 - 1/2*n**2 + 1/4*n**5 + 0 + m*n**3 - 1/4*n.
n*(n - 1)*(n + 1)**3/4
Let u(w) = w + 4. Let i be u(-3). Let z be (2/(-7))/(0 - i). Determine x, given that 0*x**3 + 0*x - 2/7*x**4 + 0 + z*x**5 + 0*x**2 = 0.
0, 1
Let x(o) be the first derivative of 49*o**6/15 - 252*o**5/25 + 109*o**4/10 - 24*o**3/5 + 4*o**2/5 + 9. Factor x(m).
2*m*(m - 1)**2*(7*m - 2)**2/5
Suppose 5*a = -4*a - 46*a. Factor 2/5*l**4 + a - 4/5*l - 2*l**2 - 6/5*l**3 + 2/5*l**5.
2*l*(l - 2)*(l + 1)**3/5
Let i(d) be the first derivative of -5*d**6/2 - 2*d**5 - 50. Factor i(k).
-5*k**4*(3*k + 2)
Let p(f) be the first derivative of -6*f**6 - 69*f**5/5 - 3*f**4/4 + 21*f**3 + 39*f**2/2 + 6*f + 33. Determine x so that p(x) = 0.
-1, -2/3, -1/4, 1
Let t(z) be the third derivative of 3*z**2 + 0 - 1/80*z**5 + 0*z**4 + 1/480*z**6 + 1/6*z**3 + 0*z. Let t(f) = 0. What is f?
-1, 2
Suppose 4*x - 12 = x. Solve -10*j + 1 - 6*j**2 + 18*j**3 + 8*j**x - 11*j**3 + 3 + 9*j**3 = 0 for j.
-2, -1, 1/2
Let 12*u**3 + 6 - 8*u**2 - 2 - 12*u + 4 = 0. What is u?
-1, 2/3, 1
Let h(b) = -21*b**4 + 15*b**3 + 42*b**2 - 21. Let t(g) = -3*g**4 + 2*g**3 + 6*g**2 - 3. Let v(u) = -2*h(u) + 15*t(u). Find m such that v(m) = 0.
-1, 1
Let s(w) be the first derivative of -w**7/140 - w**6/40 + 3*w**5/40 - 7*w**2/2 + 6. Let k(z) be the second derivative of s(z). Factor k(q).
-3*q**2*(q - 1)*(q + 3)/2
Let x(r) = -2*r - 3. Let a be x(-3). Suppose 4*n + n - 5*t = 0, a*n = -2*t + 15. Suppose 4*c**4 - n*c**4 + c**4 + 4*c**3 = 0. Calculate c.
-2, 0
Let o(s) be the second derivative of s**8/112 + s**7/70 - s**6/20 - 2*s**2 + s. Let r(j) be the first derivative of o(j). Factor r(q).
3*q**3*(q - 1)*(q + 2)
Determine t, given that 1/7 - 1/7*t - 1/7*t**2 + 1/7*t**3 = 0.
-1, 1
Let x(o) be the third derivative of -2*o**5/5 + o**4/2 - o**3/4 + 17*o**2. Factor x(t).
-3*(4*t - 1)**2/2
Let c(t) be the second derivative of -t**4/90 + 2*t**3/45 - 4*t. Factor c(y).
-2*y*(y - 2)/15
Let k(d) be the second derivative of d**6/6 - d**5 + 40*d**3/3 - 40*d**2 