*4/39 - w. Factor p(s).
2*s**2*(s + 1)**2*(s + 2)/13
Let a(m) = m**2 - 10*m + 12. Let k be a(9). Suppose 4*w**2 - 6*w**k + w**5 - 3*w**5 + 4*w**5 = 0. What is w?
-2, 0, 1
Let p(y) be the third derivative of 0 - y**2 - 1/48*y**4 + 0*y + 0*y**3 - 1/240*y**5. Factor p(u).
-u*(u + 2)/4
Let h = -3228/7 + 11575/28. Let d = 48 + h. Solve d*f**2 + 0*f - f**3 + 0 = 0 for f.
0, 1/4
Let y = 11 + -5. Factor -1 + 4 - y*a**2 - 24*a**2 + 3 - 3*a.
-3*(2*a + 1)*(5*a - 2)
Let r(i) be the first derivative of -i**7/42 - i**6/30 + i**5/20 + i**4/12 + 5*i + 8. Let w(p) be the first derivative of r(p). Let w(b) = 0. Calculate b.
-1, 0, 1
Let y(s) = -3*s**2 + 10*s - 35. Let m(q) = -q**2 + q + 1. Let c(u) = -6*u**2 + 8*u - 7. Let x(g) = c(g) - 5*m(g). Let i(z) = -8*x(z) + 3*y(z). Solve i(j) = 0.
3
Factor 0 + 0*o - 2/15*o**2.
-2*o**2/15
Let s(m) be the third derivative of -m**7/315 + m**6/60 + m**5/90 - m**4/12 - 11*m**2. Factor s(o).
-2*o*(o - 3)*(o - 1)*(o + 1)/3
Suppose -2 = -0*j - 2*j. Let f(y) = 25*y**2 - 23*y + 4. Let g(w) = w. Let r(i) = j*f(i) + 3*g(i). Factor r(n).
(5*n - 2)**2
Let i = -102 - -514/5. Factor 2/5*b + 0 + i*b**2 + 2/5*b**3.
2*b*(b + 1)**2/5
Let d(a) be the second derivative of -2*a**7/21 + 8*a**6/15 - 6*a**5/5 + 4*a**4/3 - 2*a**3/3 - 3*a. Suppose d(m) = 0. What is m?
0, 1
Determine y, given that 2/5*y - 1/5*y**2 - 1/5 = 0.
1
Let u(g) be the third derivative of -g**9/504 - g**8/420 + g**7/420 - g**3/2 - 2*g**2. Let b(o) be the first derivative of u(o). Factor b(z).
-2*z**3*(z + 1)*(3*z - 1)
Let q = 32 - 32. Let z(y) be the third derivative of q*y**4 + 0*y + 1/180*y**5 + 0*y**3 + y**2 + 0 + 1/360*y**6. Factor z(p).
p**2*(p + 1)/3
Let c be 2 - 0 - (1 + -2). Suppose 4/3*a + 0 + 2/3*a**4 + 0*a**c - 2*a**2 = 0. Calculate a.
-2, 0, 1
Let b(t) be the first derivative of -8*t**6/9 + 92*t**5/15 - 10*t**4 - 4*t**3 + 6. Solve b(y) = 0 for y.
-1/4, 0, 3
Factor -51/5*s - 7/5*s**2 - 14/5.
-(s + 7)*(7*s + 2)/5
Let l(r) = -4*r**2 - 22*r - 18. Let p(d) = -d**2 - 7*d - 6. Let t(i) = 3*l(i) - 10*p(i). Suppose t(s) = 0. Calculate s.
-1, 3
Let n = -24239/80 + 303. Let u(p) be the second derivative of -1/16*p**4 + 0 + 1/12*p**3 + n*p**5 - 3*p + 0*p**2. Let u(f) = 0. Calculate f.
0, 1, 2
Let w = -89/28 - -24/7. Let i = -41 + 165/4. Factor -i*z + 1/4*z**3 - w*z**4 + 3/4*z**2 - 1/2.
-(z - 2)*(z - 1)*(z + 1)**2/4
Let w(x) be the third derivative of -x**8/30240 + x**7/2520 - x**6/540 + x**5/15 - 3*x**2. Let j(y) be the third derivative of w(y). Factor j(c).
-2*(c - 2)*(c - 1)/3
Let a(h) = h**3 - 5*h**2 + 3*h. Let p = -2 - -5. Let x(w) = 0*w**3 - 2*w**3 + 2*w + 9*w**2 - 7*w. Let c(o) = p*x(o) + 5*a(o). Factor c(m).
-m**2*(m - 2)
Let a(j) be the first derivative of 3*j**5/5 + 3*j**4/4 - 3*j**3 - 15*j**2/2 - 6*j - 3. Find i such that a(i) = 0.
-1, 2
Let y be 2 + -2 - (6 + -9). Let t(p) be the third derivative of 0 - 2*p**2 + 0*p**y + 1/420*p**7 - 1/48*p**4 + 1/240*p**6 + 0*p - 1/120*p**5. Factor t(z).
z*(z - 1)*(z + 1)**2/2
Let v = -1064 + 1064. Find i such that 1/3*i + v - 1/3*i**2 = 0.
0, 1
Let l(g) be the third derivative of -g**5/140 + g**4/28 - g**3/14 + 4*g**2. Let l(k) = 0. Calculate k.
1
Suppose 238*q - 18 = 232*q. Let 8/5*z**4 + 0*z + 0 - 2/5*z**q + 0*z**2 = 0. Calculate z.
0, 1/4
Suppose 8/9*t + 8/9 + 2/9*t**2 = 0. Calculate t.
-2
Let o be 5*(24/10 - 2). Let w be (-247)/190 - (-6)/8*2. Factor 0 + 2/5*c - w*c**o.
-c*(c - 2)/5
Let d(x) be the second derivative of 5*x**7/42 + 7*x**6/6 + 9*x**5/2 + 55*x**4/6 + 65*x**3/6 + 15*x**2/2 - 38*x. Factor d(h).
5*(h + 1)**4*(h + 3)
Let h = -215/7 + 1030/21. Let m = h - 599/33. What is r in 0*r + 0 - m*r**3 - 2/11*r**2 = 0?
-1, 0
Let s(t) be the third derivative of t**5/60 + t**4/8 - 2*t**3/3 - 37*t**2. Factor s(o).
(o - 1)*(o + 4)
Let h = 367/260 - 11/52. Let -1/5*x**5 + 0 + 4/5*x**4 - h*x**3 - 1/5*x + 4/5*x**2 = 0. Calculate x.
0, 1
Factor 2/5*h**3 + 0 - 2/5*h + 0*h**2.
2*h*(h - 1)*(h + 1)/5
Let a(x) be the third derivative of x**6/480 - x**5/80 + x**4/32 - x**3/24 - 14*x**2. Suppose a(t) = 0. What is t?
1
Let o(g) be the third derivative of -g**8/84 - 8*g**7/105 - 2*g**6/15 - 48*g**2. Let o(h) = 0. Calculate h.
-2, 0
Determine r, given that -3/2*r**2 + 0 - 3/4*r**3 - 3/4*r = 0.
-1, 0
Let k(g) be the third derivative of 5*g**8/336 - g**7/21 - g**6/24 + g**5/6 + 16*g**2. Let k(w) = 0. What is w?
-1, 0, 1, 2
Let d(o) be the first derivative of o**5/50 + o**4/40 - o**3/30 - o**2/20 + 15. Factor d(y).
y*(y - 1)*(y + 1)**2/10
Let q(x) be the third derivative of x**8/84 - 2*x**7/35 + x**6/15 + 2*x**5/15 - x**4/2 + 2*x**3/3 - 3*x**2. Factor q(k).
4*(k - 1)**4*(k + 1)
Let d(q) be the first derivative of 5/4*q**2 + 3/2*q - 10 - 1/8*q**4 + 1/6*q**3. Find g such that d(g) = 0.
-1, 3
Let j = -7 - -11. Suppose -z - 1 - 4 = 4*b, -2*z = j*b + 10. Let -2/3*m + 2/3*m**2 + b = 0. What is m?
0, 1
Let y(q) = 66*q**3 - 12*q. Let k(v) = v**2 - v. Let f be k(-1). Let u(x) = 5*x**3 - x. Let g(r) = f*y(r) - 27*u(r). Factor g(d).
-3*d*(d - 1)*(d + 1)
Suppose s - 6 + 4 = 0. Suppose -17*u**2 - 8*u**s - 8*u + 29*u**2 = 0. Calculate u.
0, 2
Let t = 196/9 - 64/3. Determine m so that 4/9*m - 2/9*m**2 + 0 - t*m**3 + 2/9*m**4 = 0.
-1, 0, 1, 2
Let u be (-5)/(10/6) - -5. Let -2*g + g + 0*g**2 - 2*g**2 + 0*g**u = 0. Calculate g.
-1/2, 0
Let f(q) be the first derivative of 16*q**5/5 + 11*q**4 + 12*q**3 + 2*q**2 - 4*q + 9. Factor f(z).
4*(z + 1)**3*(4*z - 1)
Let u(w) = -5*w**5 - 10*w**4 - 18*w**3 - 12*w**2 - 9*w + 2. Let z(b) = b**5 + b**4 + b**3 - b**2 - 1. Let n(y) = -u(y) - 4*z(y). Factor n(l).
(l + 1)**4*(l + 2)
Let k be 1/4 - 15/(-4). Let r = k + -2. Factor v**3 - 1/2*v**4 - 1/2*v**r + 0*v + 0.
-v**2*(v - 1)**2/2
Let v be 2*-1*2/(-2). Factor -4*a**3 - 4*a**4 - 1 + 3*a**4 - 4*a - v*a - 6*a**2 + 2*a.
-(a + 1)**4
Let m(y) = y**2 + 8*y + 15. Let f be m(-5). Factor -2/7*z**2 + 0 - 2/7*z**3 + f*z.
-2*z**2*(z + 1)/7
Let v(x) be the second derivative of x**4/6 + 2*x**3/3 + 6*x. Factor v(m).
2*m*(m + 2)
Let j(o) be the second derivative of o**4/6 - 2*o**3/3 + 9*o. Factor j(n).
2*n*(n - 2)
Factor 2/13*k**2 - 2/13 + 2/13*k - 2/13*k**3.
-2*(k - 1)**2*(k + 1)/13
Let u(h) = 2*h**2 - 7*h - 1. Let a be u(5). Suppose 0 = 4*n + l - a, 2*n + l = -2*l + 12. Find y such that -9/2 - 1/2*y**2 - n*y = 0.
-3
Let c(x) be the first derivative of -7*x**4/16 + 5*x**3/12 + x**2/4 - 3. Factor c(n).
-n*(n - 1)*(7*n + 2)/4
Factor 0*v - 8/9*v**3 + 8/9*v**2 + 0 + 2/9*v**4.
2*v**2*(v - 2)**2/9
Let u(x) = -14*x - 68. Let n be u(-5). Let -4/3*h**2 - 1/3*h**5 + 0 - n*h**3 - 1/3*h - 4/3*h**4 = 0. Calculate h.
-1, 0
Let t = -2/511 - -521/2555. Let o = -71 + 359/5. Factor o + i**2 - t*i**3 - 8/5*i.
-(i - 2)**2*(i - 1)/5
Let q(r) be the second derivative of -r**4/78 - r**3/39 + 2*r**2/13 + r. Suppose q(x) = 0. Calculate x.
-2, 1
Let h(i) be the first derivative of -2*i**3 + 9*i**2/2 + 6*i - 2. Factor h(v).
-3*(v - 2)*(2*v + 1)
Let d = 2/5 - 1/5. Let i be (2/(-10))/(1 + -2). Factor -d - i*l**2 + 2/5*l.
-(l - 1)**2/5
Let h = 135/28 - 25/7. Let m(r) be the first derivative of 1 + h*r**4 + 9/2*r**2 + 2*r + 4*r**3. Factor m(t).
(t + 1)**2*(5*t + 2)
Let h(r) = -r**4 - r**3 + r**2 + r. Let o(x) = 9*x**4 - 6*x**3 - 8*x**2 - 5*x. Let j(b) = 10*h(b) + 2*o(b). Factor j(m).
2*m**2*(m - 3)*(4*m + 1)
Let w be (-5 - -2)*(-2)/6. Factor 0 + 1 + w - 2*z**2.
-2*(z - 1)*(z + 1)
Let l(b) = 4*b + 23. Let n be l(-5). Suppose 11 = n*g - 1. Factor 0 - 3/2*j**2 + 3/2*j**3 - 1/2*j**g + 1/2*j.
-j*(j - 1)**3/2
Let h(y) be the third derivative of -2*y**5/15 - y**4/4 + y**3/3 - 11*y**2. Determine g, given that h(g) = 0.
-1, 1/4
Let h = 86/27 - 568/297. What is c in -8/11*c**2 + h*c**4 + 8/11*c**5 + 28/11*c - 6/11 - 36/11*c**3 = 0?
-3, -1, 1/4, 1
Let v(q) be the first derivative of -60*q**5 - 65/2*q**4 + 125/3*q**6 + 16*q + 1 + 284/3*q**3 - 60*q**2. Let v(b) = 0. Calculate b.
-1, 2/5, 1
Let g(u) be the third derivative of 0 + 1/14*u**4 + 1/210*u**5 - 2*u**2 + 0*u + 3/7*u**3. Let g(m) = 0. Calculate m.
-3
Factor -12/7*o**3 + 1/7*o**5 + 6/7 + 11/7*o - 4/7*o**4 - 2/7*o**2.
(o - 6)*(o - 1)*(o + 1)**3/7
Let l(a) be the third derivative of a**7/840 - a**5/30 + 2*a**3/3 + 35*a**2. Factor l(i).
(i - 2)**2*(i + 2)**2/4
Let u be 10*(34/10 + -3). Factor -9*h**3 + h**u + 5*h**3 - 2*h**2 - 3*h**4.
-2*h**2*(h + 1)**2
Let b(d) = -2*d**3 - d. Let