of 1/6*o**3 + 7/90*o**5 + 1/18*o**4 + 49/1080*o**6 + 0*o - 3*o**2 + 0. Let m(h) be the first derivative of r(h). Factor m(u).
(7*u + 2)**2/3
Let u(w) be the third derivative of w**8/672 - 3*w**6/80 - w**5/30 + w**4/4 + w**2 + 7*w. Factor u(b).
b*(b - 3)*(b - 1)*(b + 2)**2/2
Let i(u) = u**2 + 40*u + 384. Let z be i(-24). Solve z + 2/9*o**3 - 2/3*o - 4/9*o**2 = 0 for o.
-1, 0, 3
Let f = -171 - -1199/7. Let r = 149 - 1039/7. Suppose r*u**2 - 2/7*u**5 - f*u + 4/7*u**3 - 2/7 - 2/7*u**4 = 0. Calculate u.
-1, 1
Suppose -2 = -z + 2. Solve 8*h**2 - 2*h**z - 3*h + 10*h**4 + 2*h**5 + 5*h + 12*h**3 = 0 for h.
-1, 0
Let x(b) be the first derivative of b + 1/8*b**4 + 2/3*b**3 - 5 + 5/4*b**2. Factor x(s).
(s + 1)**2*(s + 2)/2
Let o be 275/99 + (-2)/(-9). Let x(h) be the second derivative of 2*h - 1/16*h**4 - 1/8*h**2 - 1/80*h**5 - 1/8*h**o + 0. Let x(y) = 0. What is y?
-1
Let v(d) = 6*d**4 - d**3 - 5*d**2 - 5*d - 5. Let g(w) = -5*w**4 + w**3 + 4*w**2 + 4*w + 4. Let b(z) = 5*g(z) + 4*v(z). Factor b(o).
-o**3*(o - 1)
Let h(t) be the third derivative of 1/210*t**5 + 0*t - 2*t**2 + 0 - 1/42*t**4 + 1/21*t**3. Factor h(f).
2*(f - 1)**2/7
Suppose -y + 2 + 4 = 4*q, 0 = -5*y + 10. Let n(h) be the first derivative of 2/9*h**3 + q + 4/3*h - h**2. Solve n(s) = 0 for s.
1, 2
Let z(t) = -7*t - 24. Let r be z(-4). Factor 0*q**2 - 2/3*q + 1/3*q**r + 2/3*q**3 - 1/3.
(q - 1)*(q + 1)**3/3
Suppose -8 = -2*u - 2. Let 0*i**3 + 2*i**4 + u*i**3 - i**3 - i**3 = 0. What is i?
-1/2, 0
Let q(h) be the first derivative of 5*h**6/12 + 5*h**5/2 + 35*h**4/8 - 5*h**3/6 - 10*h**2 - 10*h - 2. What is i in q(i) = 0?
-2, -1, 1
Suppose 0 = -3*o - 12, -4*t - o = -0 - 4. Suppose -5*w - t = -17. Factor 0 - l**2 + 1/2*l**w + 1/2*l.
l*(l - 1)**2/2
Find g such that 0 + 24/7*g**2 + 16/7*g + 12/7*g**3 + 2/7*g**4 = 0.
-2, 0
Let y(h) be the second derivative of -1/2*h**6 + 3/10*h**5 + 0 + 0*h**3 - 1/2*h**7 + 0*h**4 - 8*h + 0*h**2. Solve y(s) = 0.
-1, 0, 2/7
Let o(n) be the second derivative of -2/5*n**5 + n**2 + 1/15*n**6 - 4/3*n**3 + 0 + n**4 - 2*n. What is d in o(d) = 0?
1
Let p(k) be the first derivative of -6 + 1/10*k**5 - 1/3*k**3 - 3/8*k**4 - 4*k + 3*k**2. Factor p(i).
(i - 2)**2*(i - 1)*(i + 2)/2
Let j(z) = 8*z**3 + 32*z**2 - 100*z + 72. Let v(w) = 3*w**3 + 13*w**2 - 40*w + 29. Let f(i) = 5*j(i) - 12*v(i). Let f(r) = 0. Calculate r.
-3, 1
Find b such that -3*b**2 - 71 - 6*b + 6*b**3 + 71 + 3*b**4 = 0.
-2, -1, 0, 1
Let o = 6 - 4. Suppose 5*m = -0*m. Determine a, given that 0*a + m + 2/5*a**o = 0.
0
Let w(r) be the first derivative of -r**7/21 + r**6/15 + 2*r + 1. Let d(q) be the first derivative of w(q). Solve d(z) = 0.
0, 1
Let g(u) be the first derivative of u**5/70 - u**4/21 + u**3/21 - 4*u - 2. Let v(a) be the first derivative of g(a). Suppose v(w) = 0. Calculate w.
0, 1
Factor -7/2*b**3 + 5/2*b**2 + 3/2*b**4 + 0 - 1/2*b.
b*(b - 1)**2*(3*b - 1)/2
Suppose 10/7*c**2 + 0 + 2/7*c**4 + 8/7*c**3 + 4/7*c = 0. Calculate c.
-2, -1, 0
Let l(m) be the third derivative of -3*m**5/100 - m**4/5 + 3*m**3/10 + 4*m**2. Find d such that l(d) = 0.
-3, 1/3
Let m be (-10)/(-2) + 0/17. Solve -2*u**2 - u**2 + 4*u + 2*u**2 - m*u = 0.
-1, 0
Suppose -2*g - 2*y + 2 = 0, y = -g - g + 3. Let -1/2*s - 1/2*s**g + 0 = 0. Calculate s.
-1, 0
Factor 6*t**2 + 5/2*t**4 + 7*t**3 - 1/2 + t.
(t + 1)**3*(5*t - 1)/2
Let b(m) = -m**3 + 4*m**2 + 2*m - 6. Suppose 5 = -4*u + 5*v + 31, 0 = -4*u - v + 14. Let o be b(u). Factor o*p**5 - 2*p + p - 3*p**5 + 2*p**3.
-p*(p - 1)**2*(p + 1)**2
Let c**2 - 6/5 - c + 1/5*c**4 + c**3 = 0. What is c?
-3, -2, -1, 1
Let 0 - 4/7*s**4 + 10/7*s**5 + 32/7*s**2 - 8/7*s - 30/7*s**3 = 0. What is s?
-2, 0, 2/5, 1
Let o = -153 - -153. Factor 2/3*p + o*p**2 - 2/3*p**3 + 0.
-2*p*(p - 1)*(p + 1)/3
Let r(m) be the second derivative of -m**5/70 - m**4/14 + 4*m**2/7 - 9*m. Factor r(n).
-2*(n - 1)*(n + 2)**2/7
Let t(d) be the first derivative of 0*d**2 + 0*d**3 + 0*d - 1/5*d**5 - 1/12*d**6 - 1 - 1/8*d**4. Determine n so that t(n) = 0.
-1, 0
Let a = 0 + 2. Factor -3*x + 6 - x + 0*x**2 - 6*x**a + 4*x**2.
-2*(x - 1)*(x + 3)
Let k be -4 + (-3 - (6 + -16)). Factor 0*m**2 + 0*m + 1/3*m**4 + 1/3*m**k + 0.
m**3*(m + 1)/3
Let f = -1/10 - -3/10. Find y, given that 0*y - 1/5*y**2 - f*y**3 + 0 + 1/5*y**4 + 1/5*y**5 = 0.
-1, 0, 1
Suppose -6 = 3*s + 2*g, -2*s - 5 = -g - 1. Let i be 0 + 0 - 6/s. Let 0 - 8/3*a**2 - 8/3*a**4 - 2/3*a - 2/3*a**5 - 4*a**i = 0. What is a?
-1, 0
Let t be 3/(2*(-2)/(-4)). Factor -t*y**2 - 18 - y**2 + 14 - 8*y.
-4*(y + 1)**2
Let f be (-3)/(1 + 2)*6. Let m be (6/(-15))/(f/3). Let -1/5*n**4 + 1/5*n - 2/5*n**3 + 2/5*n**2 + 1/5*n**5 - m = 0. What is n?
-1, 1
Let k = 1/1311 + -25033/162564. Let d = 3/31 - k. Let d + 1/4*w**2 - 1/2*w = 0. What is w?
1
Let n(r) be the second derivative of -5*r**4/36 - 25*r**3/18 - 10*r**2/3 + 9*r. Factor n(c).
-5*(c + 1)*(c + 4)/3
Suppose 0 = 3*o + 15, s + 0*o - 2*o = 13. Let h(q) be the first derivative of -2 - 2/9*q**s + 1/3*q**2 + 2/3*q - 1/6*q**4. Factor h(w).
-2*(w - 1)*(w + 1)**2/3
Let 3*q**2 - 3 + 2*q**3 - 11*q**3 + 0*q + 5*q + 4*q = 0. What is q?
-1, 1/3, 1
Let h(m) be the third derivative of m**2 + 0 + 0*m + 1/60*m**4 + 1/300*m**5 + 1/30*m**3. Factor h(g).
(g + 1)**2/5
Let l be ((-38)/(-4))/(15/(-18)). Let j = -11 - l. Factor j*m**2 - 2/5*m**3 + 0 + 2/5*m**5 + 0*m - 2/5*m**4.
2*m**2*(m - 1)**2*(m + 1)/5
Let f(r) = -r + 4. Let l be f(3). Let x be 2/(-3) - (l + -3). Determine o, given that -4/3*o - x - 1/3*o**2 = 0.
-2
Let a(b) be the third derivative of b**5/140 + 3*b**4/56 - 2*b**2. Factor a(l).
3*l*(l + 3)/7
Let p = 8 + -6. Determine s, given that 6*s**2 - 66 + 67 + 3*s + s**2 + s**3 - 4*s**p = 0.
-1
Let 6*z**2 + 9/2*z**3 - 3 - 3/2*z = 0. What is z?
-1, 2/3
Factor 4/3*c**2 + 20/3*c - 8.
4*(c - 1)*(c + 6)/3
Let t(y) be the second derivative of y**7/7 + 34*y**6/45 + 19*y**5/30 - 7*y**4/3 - 28*y**3/9 + 8*y**2/3 - 16*y. Let t(c) = 0. Calculate c.
-2, -1, 2/9, 1
Let b(k) be the first derivative of 0*k + k**2 + 1/4*k**4 - 1 + k**3. Suppose b(w) = 0. Calculate w.
-2, -1, 0
Let a(v) be the third derivative of v**7/42 - v**6/6 + v**5/6 + 5*v**4/6 - 5*v**3/2 + 8*v**2 - 5*v. Factor a(u).
5*(u - 3)*(u - 1)**2*(u + 1)
Let d(w) = 8*w**4 - 83*w**3 + 275*w**2 - 205*w + 5. Let k(m) = 4*m**4 - 41*m**3 + 137*m**2 - 103*m + 3. Let u(o) = -3*d(o) + 5*k(o). Factor u(n).
-4*n*(n - 5)**2*(n - 1)
Factor -2*v**2 + 3*v + 13*v**2 - 2*v**2 - 6 - 6*v**2.
3*(v - 1)*(v + 2)
Let p(m) be the second derivative of 3*m**6/80 - 21*m**5/80 - 23*m**4/96 + 3*m**3/4 + 5*m**2/4 + m + 4. Solve p(j) = 0 for j.
-2/3, 1, 5
Let t(n) = -n**3 - 10*n**2 + 11*n + 3. Let j be t(-11). Let y(x) be the first derivative of 0*x + 1/16*x**4 + 1/12*x**j + 0*x**2 + 1. Factor y(k).
k**2*(k + 1)/4
Let t be (245/(-16))/(-5) - (-3 - -6). Let p(z) be the second derivative of 1/2*z**3 - t*z**4 + 2*z - 3/2*z**2 + 0. Factor p(h).
-3*(h - 2)**2/4
Let q(t) be the first derivative of -2/3*t**3 + t + 1/2*t**2 + 1/5*t**5 + 1/6*t**6 - 1/2*t**4 + 4. Factor q(r).
(r - 1)**2*(r + 1)**3
Let d(x) be the second derivative of 0*x**3 - 1/60*x**5 - 4*x + 1/36*x**4 + 0*x**2 + 0. Suppose d(j) = 0. What is j?
0, 1
Suppose -q = -5*t - 4*q + 32, 4*t = -q + 20. Factor 4*h**t - 2*h**3 + h**2 - h**2 - 2*h**5.
-2*h**3*(h - 1)**2
Let q = 15 + -11. Suppose 1 = q*f - 7. Suppose 2*b - 4*b**f + 0*b + 3*b**2 = 0. Calculate b.
0, 2
Let h(v) be the third derivative of 3*v**5/20 + 5*v**4/8 - v**3 - 14*v**2. Factor h(c).
3*(c + 2)*(3*c - 1)
Let z(b) be the first derivative of 2*b**3/3 - 8*b**2 - 15. Find p such that z(p) = 0.
0, 8
Let w(d) be the third derivative of d**6/300 + d**5/450 - d**4/90 + 5*d**2. Factor w(l).
2*l*(l + 1)*(3*l - 2)/15
Let v(p) be the first derivative of -2*p**5/85 + 3*p**4/34 + 8*p**3/51 + 10. Factor v(a).
-2*a**2*(a - 4)*(a + 1)/17
Let t = 2329/3 - 776. Factor -t*p**2 + 0 + 0*p.
-p**2/3
Let c = 3/119 - -919/1309. Factor -8/11 - c*x - 2/11*x**2.
-2*(x + 2)**2/11
Let f(z) be the first derivative of -3*z**4/4 - 2*z**3 + 3*z**2/2 + 6*z - 45. Determine g so that f(g) = 0.
-2, -1, 1
Let x(b) be the second derivative of 0*b**2 + 0 - 3*b - 1/60*b**5 + 0*b**4 + 1/3*b**3 + 1/180*b**6. Let t(u) be the second derivative of x(u). Factor t(p).
2*p*(p - 1)
Suppose 0 - 3/2*g**2 - 3*g + 9/2*g**3 = 0. Calculate g.
-2/3, 0, 1
Solve -3/4*f**3 + 0*f - 3/2*f**2 + 0 = 