e 2 + (-2 + 1)*0. Let z(h) = -14*h**3 - 11*h**2 - h - 15. Let x(k) = -k**3 + k - 1. Let a(c) = f*z(c) - 22*x(c). Factor a(j).
-2*(j + 1)*(j + 2)*(3*j + 2)
Let p(n) = -4*n**4 + 22*n**3 - 50*n**2 - 10*n + 66. Let q(d) = d**4 + d**2 + d - 1. Let s(o) = -p(o) - 2*q(o). Factor s(v).
2*(v - 8)*(v - 2)**2*(v + 1)
Let r be (-13)/(-18) - (-16)/(-72). Factor 0 - 1/2*k**2 + r*k.
-k*(k - 1)/2
Let a = 2361421/540 + -4373. Let j(q) be the third derivative of 1/36*q**4 + a*q**6 + 0*q + 3*q**2 + 1/90*q**5 + 0 + 1/27*q**3. Solve j(t) = 0 for t.
-1
Suppose -5*p + 0*i + 44 = -4*i, 2*p + 4*i - 12 = 0. Let d be p/(-10)*(-40)/48. Factor d*h**2 + 8/3 - 8/3*h.
2*(h - 2)**2/3
Let z be 3/(-6)*(0 - -2). Let o be -1 + (-7)/(-3) + z. Let o - s - 1/3*s**3 + s**2 = 0. Calculate s.
1
Let j(p) = -p**3 - 17*p**2 - 16*p + 2. Let a be j(-16). Let l(v) be the first derivative of 1/3*v**3 + 1 - 1/2*v**a + 0*v. Solve l(u) = 0.
0, 1
Factor 5/2*g - 1/2*g**2 - 3.
-(g - 3)*(g - 2)/2
Let a(i) be the second derivative of 1/60*i**4 - 1/150*i**5 + 1/2*i**2 + 0 + 0*i**3 + 2*i. Let m(q) be the first derivative of a(q). Factor m(v).
-2*v*(v - 1)/5
Let d = 7/8 - 13/24. Factor d*y + 0 - 1/3*y**2.
-y*(y - 1)/3
Let b be (-32)/6 - (30 + -6)/(-4). Find g, given that -2*g**2 - b*g**3 - 2/3 - 2*g = 0.
-1
Let t(k) be the second derivative of k**4/3 - k**3/2 + 5*k. Factor t(y).
y*(4*y - 3)
Let l(o) be the second derivative of 1/12*o**4 + 0*o**2 + 0*o**3 - 1/10*o**5 + o + 0 + 1/30*o**6. Factor l(q).
q**2*(q - 1)**2
Let -5/4*j + 3/2 + 1/4*j**2 = 0. Calculate j.
2, 3
Let f be (-1 + 6)/(-2 - -3). Factor -g**5 + g**2 - g**4 + g**3 + 0*g**f - g**4 + g**4.
-g**2*(g - 1)*(g + 1)**2
Let p(h) = -9*h**3 - 5*h**2 - 17*h - 7. Let c(b) = -5*b**3 - 2*b**2 - 9*b - 4. Let r(n) = 7*c(n) - 4*p(n). Factor r(m).
m*(m + 1)*(m + 5)
Factor -10/7 - 12/7*o - 2/7*o**2.
-2*(o + 1)*(o + 5)/7
Let g(r) = r**2 - 3*r + 2. Let f be g(5). Let o be (-4)/(-6) + 16/f. Let 0*s**2 + o*s**2 - s**2 + 2*s**2 + 2*s = 0. What is s?
-2/3, 0
Let q(c) = -9*c**2 + 5*c - 4. Let v(g) = -g. Let s(i) = 3*q(i) - 21*v(i). Let s(f) = 0. Calculate f.
2/3
Factor -5/3*a - 5/2 + 5/6*a**2.
5*(a - 3)*(a + 1)/6
Let v(l) be the second derivative of -l**4/90 + 4*l**2/15 - 13*l. Factor v(t).
-2*(t - 2)*(t + 2)/15
Let i be 20/70 + 2/(-7). Suppose 1/3*o**2 + 0*o - 1/3*o**3 + i = 0. What is o?
0, 1
Let y(s) be the third derivative of -s**5/20 - s**4/4 + 4*s**3 - 3*s**2. Factor y(r).
-3*(r - 2)*(r + 4)
Let c(v) be the third derivative of -v**7/945 + v**6/270 - 19*v**2. Solve c(h) = 0.
0, 2
Let u(v) = 10*v**2 - 220*v + 265. Let l(g) = -g**2 + 20*g - 24. Let k(f) = -45*l(f) - 4*u(f). Suppose k(s) = 0. Calculate s.
2
Let t(r) be the first derivative of 6*r**2 + 4*r - 12/5*r**5 - 2/3*r**6 - 2*r**4 + 8/3*r**3 - 4. Let t(m) = 0. Calculate m.
-1, 1
Factor 0 - 2/7*o + 2*o**2 - 12/7*o**3.
-2*o*(o - 1)*(6*o - 1)/7
Let 0 + 0*r + 2/9*r**3 + 2/9*r**5 + 0*r**2 + 4/9*r**4 = 0. What is r?
-1, 0
Let r(y) be the third derivative of 0*y**3 - 1/60*y**6 + 0 - 1/15*y**5 + 0*y - y**2 - 1/12*y**4. Solve r(j) = 0.
-1, 0
Factor -13/7*m**4 + 0 + 1/7*m + 4/7*m**5 - m**2 + 15/7*m**3.
m*(m - 1)**3*(4*m - 1)/7
Factor 14/3*g**2 - 10/3*g**3 + 2/3*g**4 + 0 - 2*g.
2*g*(g - 3)*(g - 1)**2/3
Let o(h) = -2*h**5 + 22*h**4 + 34*h**3 - 24*h**2 - 22*h + 12. Let n(z) = z**5 - 7*z**4 - 11*z**3 + 8*z**2 + 7*z - 4. Let d(l) = -10*n(l) - 3*o(l). Factor d(a).
-4*(a - 1)**3*(a + 1)**2
Solve 0*x + 2/9*x**3 - 2/9*x**2 + 2/9*x**4 - 2/9*x**5 + 0 = 0.
-1, 0, 1
Let o(z) = z**4 + z**3 + z**2 - 1. Let l(r) = 5*r**4 - 10*r**3 + 17*r**2 - 6*r - 2. Let u(i) = -l(i) + 2*o(i). Suppose u(w) = 0. What is w?
0, 1, 2
Factor 6/5*b + 3/5*b**4 - 9/5*b**2 + 0 + 0*b**3.
3*b*(b - 1)**2*(b + 2)/5
Let w = -10 - -15. Suppose 0 = 2*q, -3*q + 6 = w*f - 2*f. Suppose 1 - 16*g**2 + 9*g**f + 6*g**2 = 0. Calculate g.
-1, 1
Let g(n) be the first derivative of -n**4/8 + 2*n**3/3 - 51. Factor g(b).
-b**2*(b - 4)/2
Let j = -25 + 27. Factor 14*w**5 - 67*w**4 - 101*w**j + 30*w + 107*w**3 - 4 + 7*w**4 - 7*w**3 + 21*w**2.
2*(w - 1)**4*(7*w - 2)
Let i be (2/(-3))/((-2)/7). Let g = i - 2. Find s such that g*s**2 + 4/3 - 4/3*s = 0.
2
Determine j, given that -10/9*j - 2/9*j**3 + 0 + 4/3*j**2 = 0.
0, 1, 5
Let g(s) = s**3 + 11*s**2 + 11*s + 11. Let n be g(-10). Let q = n - 1. Factor -1/2*y**4 + q*y + 0 + 1/2*y**3 + 0*y**2.
-y**3*(y - 1)/2
Let k(r) = -r**2 - 3*r + 2. Let v be k(-2). Suppose -2*j = -v*j. Factor j + 0*n + 1/2*n**3 + 0*n**2 - 3/2*n**4 - 2*n**5.
-n**3*(n + 1)*(4*n - 1)/2
Let g(w) be the second derivative of w**4/48 + 7*w**3/12 + 49*w**2/8 + 42*w. Factor g(l).
(l + 7)**2/4
Factor 2/3*h + 4/3*h**2 + 2/3*h**3 + 0.
2*h*(h + 1)**2/3
Let o(b) = 12*b**3 + 44*b**2 + 44*b + 4. Let t(c) = 8*c**3 + 29*c**2 + 29*c + 3. Let q(s) = -5*o(s) + 8*t(s). Find v, given that q(v) = 0.
-1
Suppose -21*n = -20*n. Let r(g) be the third derivative of -g**2 + 0*g**3 - 1/24*g**4 + 0*g - 1/60*g**5 + n. Solve r(h) = 0.
-1, 0
Factor 0 - 8/7*j - 4/7*j**2.
-4*j*(j + 2)/7
Let n(p) = -p**2 - 4*p + 2. Let o be 3/6 - 33/6. Let l(w) = 3*w**2 + 8*w - 3. Let m(r) = o*n(r) - 2*l(r). Factor m(g).
-(g - 2)**2
Let d(a) be the first derivative of 16*a**3/15 + 6*a**2/5 + 2*a/5 + 2. Factor d(u).
2*(2*u + 1)*(4*u + 1)/5
Let k(t) = t**3 - 9*t**2 + 10*t - 8. Let a be k(8). What is z in -2*z**3 + 4*z**3 - a*z + 12*z + 6*z**2 = 0?
-2, -1, 0
Solve 2*t - 3*t + 3*t + 0*t + 2*t**2 = 0 for t.
-1, 0
Let d(c) = -c**3 + 1. Let z(m) = -m**5 + 4*m**4 - 13*m**3 + 4*m**2 - m + 7. Let s(f) = 21*d(f) - 3*z(f). Solve s(a) = 0.
0, 1
Let r(f) be the first derivative of -f**5/330 - f**4/66 - f**3/33 + 3*f**2/2 + 2. Let q(v) be the second derivative of r(v). What is t in q(t) = 0?
-1
Let t = -497 + 3481/7. Let t*i**2 - 2/7*i**3 + 4/7*i + 0 = 0. What is i?
-1, 0, 2
Let o(x) be the first derivative of -x**7/3 - 2*x**6/15 + x + 3. Let k(z) be the first derivative of o(z). Find j, given that k(j) = 0.
-2/7, 0
Let g = -12 - -3. Let r be g/(675/(-40))*12. Determine o, given that 0 + 32/5*o**4 + 6/5*o**3 + 8/5*o - 14/5*o**5 - r*o**2 = 0.
-1, 0, 2/7, 1, 2
Let d = 38 - 149/4. Let m = 174/11 + -249/22. Determine o, given that -d*o**2 - 27/4 - m*o = 0.
-3
Let u be (2/(-6))/((-2)/90). Suppose 0 = -5*m + 2*p + 3*p - u, 10 = 2*p. Find c, given that -m*c**3 + 6*c**5 + 2 - 12*c**2 + 10*c**4 + c - 2*c**3 - 3*c = 0.
-1, 1/3, 1
Let x(f) be the second derivative of -f**4/60 + 2*f**3/15 - 2*f**2/5 - 4*f. Factor x(k).
-(k - 2)**2/5
Let t be 8/15*11 - (-2)/15. Suppose 4/3 + 2/3*c**4 - 14/3*c + t*c**2 - 10/3*c**3 = 0. Calculate c.
1, 2
Let r(h) be the first derivative of -2/15*h**5 + 2/9*h**3 + 0*h**4 + 0*h + 0*h**2 - 5. Factor r(c).
-2*c**2*(c - 1)*(c + 1)/3
Let u(y) be the third derivative of 3*y**6/40 + y**5/5 - 17*y**4/8 - 3*y**3 - 11*y**2. Factor u(l).
3*(l - 2)*(l + 3)*(3*l + 1)
Let s be ((-2)/12)/(1/(-4)). Suppose 2 = -5*d + 22. Find t such that 0*t**3 + 0*t - 2/3*t**2 + 0 + s*t**d = 0.
-1, 0, 1
Let v(o) = -o + 4. Let a(i) = -i - 2. Let h be a(-2). Let r be v(h). Factor -7 + 4*t + 3 + 3*t**2 - r*t**2.
-(t - 2)**2
Let i(a) be the first derivative of a**4/22 - 2*a**3/33 - a**2/11 + 2*a/11 + 30. Factor i(u).
2*(u - 1)**2*(u + 1)/11
Let k be (2 - 0) + (17 - 15). Factor -11*w**2 + 54*w - 56*w - 25*w**3 - 5*w**5 - 17*w**k + 4*w**3.
-w*(w + 1)**3*(5*w + 2)
Suppose 4/5*s + 2*s**4 + 2/5*s**5 + 18/5*s**3 + 0 + 14/5*s**2 = 0. Calculate s.
-2, -1, 0
Let l be (5/30)/(14/21). Factor 0*w + 0 - l*w**2.
-w**2/4
Let p(m) be the first derivative of -m**5/20 - 5*m**4/16 - 3*m**3/4 - 7*m**2/8 - m/2 + 15. Factor p(s).
-(s + 1)**3*(s + 2)/4
Let 76/3*p**2 + 32/3 + 136/3*p - 28/3*p**3 = 0. What is p?
-1, -2/7, 4
Let p(s) = 12*s**2 + 2*s. Let k(c) = c**2. Let n(v) = -5*k(v) + p(v). Let n(w) = 0. Calculate w.
-2/7, 0
Let v(o) be the first derivative of 6 + 1/4*o**3 + 0*o + 9/8*o**2. Determine d, given that v(d) = 0.
-3, 0
Let m(v) = 8*v**4 - 15*v**3 - 22*v**2 + 18*v + 17. Let c(l) = -l**4 - l**2 - l + 1. Let s(o) = 3*c(o) + m(o). Factor s(z).
5*(z - 4)*(z - 1)*(z + 1)**2
Let w(c) be the first derivative of c**6/39 + 2*c**5/13 + 2*c**4/13 - 34. Factor w(t).
2*t**3*(t + 1)*(t + 4)/13
Let u = 113/2 - 56. Factor -1/4 - u*c - 1/4*c**2.
-(c + 1)**2/4
Let b(u) be the third derivative of 0*u + 0*u**4 - 1/10*u**5 + 0*u**7 + 0 + 0*u**3 - 1/112*u**8 + 3/40*u**6 - 3*u**2. F