actor r(q).
2*q**2*(q - 1)*(5*q + 1)
Let p = -126 - -1136/9. Factor 2/9*i**4 + p*i**3 + 0*i - 2/9*i**2 + 0 - 2/9*i**5.
-2*i**2*(i - 1)**2*(i + 1)/9
Let s(x) be the third derivative of x**10/60480 - x**8/13440 - x**4/12 + 2*x**2. Let t(y) be the second derivative of s(y). Factor t(j).
j**3*(j - 1)*(j + 1)/2
Let j = 1186/903 - -6/301. Factor -j + 4/3*s**3 + 4/3*s**2 - 4/3*s.
4*(s - 1)*(s + 1)**2/3
Let q be (-130)/(-6) - 2/3. Let i = q + -14. Factor 2 + 1 - i*l**2 + 9*l - 5.
-(l - 1)*(7*l - 2)
Let b(l) be the third derivative of l**5/360 - 5*l**2. Suppose b(o) = 0. Calculate o.
0
Let n(t) = 115*t**3 + 55*t**2. Let j(d) = 29*d**3 + 14*d**2. Let v(o) = 15*j(o) - 4*n(o). Solve v(p) = 0.
-2/5, 0
Suppose -2*l + 4*r - 6*r + 2 = 0, 3*l = -5*r - 5. Suppose 2*q - l*q = 0. Factor -6*s + q*s + 5*s**3 + 3*s - 6*s**3 - 3*s**2 - 1.
-(s + 1)**3
Let j = 1/35 + 137/105. Let -17/3*r**2 + 1/3*r**3 - 5/3*r**5 + 4/3*r + 13/3*r**4 + j = 0. Calculate r.
-1, -2/5, 1, 2
Let c(h) = -h**2 - h + 1. Suppose 35 = -3*l + t, 2*l + 2*t + 14 = -20. Let n = l + 9. Let z(k) = 2*k**2 + 2*k - 4. Let g(y) = n*c(y) - z(y). Factor g(j).
2*j*(j + 1)
Let f(t) be the second derivative of -2*t**6/35 + 3*t**5/20 - t**4/14 - t**3/14 - 8*t. Suppose f(c) = 0. What is c?
-1/4, 0, 1
Let b = 114 - 80. Factor -24*x**3 + 62*x**2 - 20*x**2 - 2*x**4 + 38*x**2 - 32*x - b*x**4.
-4*x*(x + 2)*(3*x - 2)**2
Let g(d) = 2*d**3 - d + 1. Let t(n) = 9*n**3 + 6*n**2 - 5*n + 5. Let w(y) = 5*g(y) - t(y). Factor w(o).
o**2*(o - 6)
Let o(g) be the third derivative of g**6/600 + g**5/150 - 17*g**2. Let o(q) = 0. Calculate q.
-2, 0
Let y(w) be the first derivative of 3*w**4/4 - 5*w**3 + 21*w**2/2 - 9*w - 11. Factor y(r).
3*(r - 3)*(r - 1)**2
Let u = -8 - -14. Let a(j) = -j**2 + 6*j + 2. Let i be a(u). Suppose -2 + n**3 - 3*n**2 - 4*n - 3*n**3 - 3*n**2 - i*n = 0. What is n?
-1
Determine m, given that 1/3*m**5 + 0 + 2/3*m - m**3 + 1/3*m**2 - 1/3*m**4 = 0.
-1, 0, 1, 2
Let a = 30453/7 - 4343. Let f = a + -246/35. Let 26/5*j**2 + 24/5*j + f*j**4 + 8/5 + 12/5*j**3 = 0. Calculate j.
-2, -1
Suppose -5*v + 13 + 7 = 0. Let b(i) be the second derivative of 0*i**2 + 3*i + 0*i**v + 0*i**6 + 3/100*i**5 + 0 - 1/70*i**7 + 0*i**3. Factor b(a).
-3*a**3*(a - 1)*(a + 1)/5
Let w be 4 - 0*(-4)/12. Let n(m) be the first derivative of 27/8*m**2 + w - 27/4*m + 1/16*m**4 - 3/4*m**3. Factor n(j).
(j - 3)**3/4
Let y(n) be the second derivative of -5*n - 1/21*n**3 - 1/210*n**6 + 0*n**2 + 0 + 1/28*n**4 + 0*n**5. Factor y(o).
-o*(o - 1)**2*(o + 2)/7
Factor 50/13*d**4 - 80/13*d**3 + 12/13*d**2 + 16/13*d + 2/13.
2*(d - 1)**2*(5*d + 1)**2/13
Let s(c) be the second derivative of c**6/165 - c**4/33 + c**2/11 + 11*c. Factor s(v).
2*(v - 1)**2*(v + 1)**2/11
Let s be 4/(-10) + 88/20. Factor -3*p**3 - 7*p**2 - 1 - p**2 + 3*p + 13*p**2 - s*p**4.
-(p - 1)*(p + 1)**2*(4*p - 1)
Let a(s) be the second derivative of 2*s**6/45 - s**5/12 - 7*s**4/36 + s**3/9 - 11*s. Factor a(m).
m*(m - 2)*(m + 1)*(4*m - 1)/3
Let z(w) be the second derivative of w**7/13860 + w**6/660 + 3*w**5/220 + w**4/2 + 4*w. Let j(i) be the third derivative of z(i). Factor j(b).
2*(b + 3)**2/11
Let k(z) be the third derivative of -9*z**6/200 + 19*z**5/50 - 7*z**4/8 + 3*z**3/5 + 7*z**2. Solve k(f) = 0.
2/9, 1, 3
Let u(d) be the second derivative of d**6/15 - 3*d**5/5 + 13*d**4/6 - 4*d**3 + 4*d**2 + 8*d. Factor u(b).
2*(b - 2)**2*(b - 1)**2
Let m = 581/4 - 143. Let n be 1 - (3 - 60/16). Suppose -1/4*k**4 - m*k**2 + 5/4*k**3 - 1/2 + n*k = 0. What is k?
1, 2
Let w = 11 + -11. Let k(b) be the third derivative of -b**2 + w*b + 0*b**3 - 1/6*b**4 + 1/30*b**5 + 0. Find r, given that k(r) = 0.
0, 2
Let v(i) be the first derivative of i**5 + 5*i**4/4 - 5*i**3 - 25*i**2/2 - 10*i - 10. Determine z, given that v(z) = 0.
-1, 2
Let i be (2/(-159))/((-22)/(-78)). Let o = i + 12/53. Let 0*b**2 + o*b**3 - 32/11*b**5 + 0*b + 0*b**4 + 0 = 0. Calculate b.
-1/4, 0, 1/4
Let l(o) be the second derivative of -o**9/7560 - o**8/4200 + o**3/6 + 4*o. Let z(v) be the second derivative of l(v). Factor z(n).
-2*n**4*(n + 1)/5
Let b(a) be the second derivative of -a**5/30 + 6*a. Find y such that b(y) = 0.
0
Suppose 0 = -8*r + 7*r + 2. Suppose -5*i + r*i = -6. Solve -2 + 0*h**i - 3*h**2 - 10*h - 5*h**2 = 0 for h.
-1, -1/4
Let d = 19 - 17. Suppose -2 = -4*l + 2*r + d, 0 = -5*l + 2*r + 6. Solve 1/2*a**l + 2*a + 2 = 0 for a.
-2
Let t(u) be the first derivative of u**4/2 - 3*u**2 - 4*u - 3. Factor t(l).
2*(l - 2)*(l + 1)**2
Let d(o) be the first derivative of o**8/4200 - o**7/1050 + o**5/150 - o**4/60 - 2*o**3/3 + 3. Let t(q) be the third derivative of d(q). Factor t(w).
2*(w - 1)**3*(w + 1)/5
Let t be 6/(((-108)/(-8))/9). Let o(y) be the first derivative of 0*y + 2 - 1/4*y**t + 0*y**3 - 1/5*y**5 + 0*y**2. Factor o(q).
-q**3*(q + 1)
Find w such that -12/5*w**4 - 18/5*w + 2/5*w**5 + 12/5*w**2 + 0 + 16/5*w**3 = 0.
-1, 0, 1, 3
Let i = 1/60 - -19/12. Factor 2/5*k**5 - 8/5*k**4 + 0 + 0*k**2 + i*k**3 + 0*k.
2*k**3*(k - 2)**2/5
Let k(i) = 2*i**4 - 6*i**2 + 2*i - 2. Let b(o) = -o**5 - 3*o**4 + o**3 + 13*o**2 - 5*o + 5. Let z(l) = -2*b(l) - 5*k(l). Determine w, given that z(w) = 0.
-1, 0, 1, 2
Let r = -20 - -19. Let f be r/(-1 + 4 - 6). Factor 2/3 - 2/3*q**2 - 1/3*q**3 + f*q.
-(q - 1)*(q + 1)*(q + 2)/3
Let t(a) be the second derivative of 0*a**2 - 1/4*a**3 + 0 + 0*a**4 + 3/40*a**5 - 8*a. Suppose t(x) = 0. What is x?
-1, 0, 1
Let v be (2 + 1)*(-2)/(-3). Factor j**v - 1 + 0*j**2 + 0*j**2.
(j - 1)*(j + 1)
Let y be (6/3 + 0)*1. Let v(z) = -2*z**3 - 9*z**2 - 8*z + 1. Let o(b) = b**3 - b + 1. Let h(r) = y*o(r) - v(r). Factor h(s).
(s + 1)**2*(4*s + 1)
Factor 54 + r**3 + 0*r**3 - r - 54.
r*(r - 1)*(r + 1)
Let t = 7 + -3. Let k(f) be the second derivative of -1/24*f**3 + 0*f**2 + f - 1/48*f**t + 0. Suppose k(m) = 0. Calculate m.
-1, 0
Let g = -86 - -51. Let r be (-6)/(-27) + g/(-45). Factor -5/2*z**3 + r - 9/2*z + 6*z**2.
-(z - 1)**2*(5*z - 2)/2
Solve 0*n + 2/5*n**3 + 0 + 2/5*n**2 = 0.
-1, 0
Let c(l) be the first derivative of l**5/5 + l**4/4 + 2. Factor c(y).
y**3*(y + 1)
Let x(p) be the third derivative of p**8/784 + 3*p**7/245 + 13*p**6/280 + 3*p**5/35 + p**4/14 + 14*p**2. Factor x(s).
3*s*(s + 1)**2*(s + 2)**2/7
Let t be (-2)/((-20)/(-15)) + 4. Find y, given that 0 + 3/2*y - t*y**3 + y**2 = 0.
-3/5, 0, 1
Let g = -71 + 71. Let z(x) be the third derivative of 0 - 1/20*x**5 + 1/2*x**3 + 0*x + x**2 + g*x**4. Find l such that z(l) = 0.
-1, 1
Let h(v) = -5*v**2 + 14*v + 13. Let b(u) = -11*u**2 + 28*u + 25. Let l(j) = 3*b(j) - 7*h(j). Suppose l(c) = 0. Calculate c.
-1, 8
Let h(g) = -g. Let t be h(-2). Let a be 14/20 + t/(-10). Factor 0*o**2 + 1/2*o**4 + o - o**3 - a.
(o - 1)**3*(o + 1)/2
Determine r, given that 0*r + 1/3*r**2 + 0 + 1/3*r**3 = 0.
-1, 0
Let y(j) = 3*j**2 + 9*j + 3. Let d(f) = f**2 + 4*f + 1. Let t(w) = 5*d(w) - 2*y(w). Find n such that t(n) = 0.
1
Let o(v) be the first derivative of v**7/3360 + v**6/240 + 3*v**5/160 + v**3 - 1. Let c(n) be the third derivative of o(n). Let c(h) = 0. Calculate h.
-3, 0
Let v(t) be the first derivative of -15*t**6/2 - 3*t**5 + 25*t**4/4 - 5*t**3/3 + 8. Suppose v(b) = 0. Calculate b.
-1, 0, 1/3
Let x(f) be the second derivative of -f**6/120 - f**5/20 - f**4/24 + f**3/6 + 3*f**2/8 - 6*f. Factor x(k).
-(k - 1)*(k + 1)**2*(k + 3)/4
Suppose -2*d - 1 = -5. Factor a**5 - 6*a**4 - 44 + 44 + 3*a**5 + d*a**3.
2*a**3*(a - 1)*(2*a - 1)
Let w be -5*(2/(-5) - 0). Suppose w*s - 20 = -2*s, -4*d + 4*s = 0. Solve -4*a + 3*a + 5*a - a**2 - d*a = 0 for a.
-1, 0
Suppose 3*s = -2*s + 20. Let p = 2 + s. Factor -p*i - 1 + 6*i**2 - i**3 - i**3 + 3.
-2*(i - 1)**3
Suppose -3*g = 5*r + 9, 0*r = -2*g - 3*r - 5. Factor -3*i + 2*i + 4*i + g - i**3.
-(i - 2)*(i + 1)**2
Suppose 3 = -2*c + 9. Suppose -c*s = -2 - 4. Factor -s*n**2 - 8/3 + 4*n + 1/3*n**3.
(n - 2)**3/3
Let v be 48/864 + 1 + (-5)/6. Factor 2/9*c**3 - v - 2/9*c + 2/9*c**2.
2*(c - 1)*(c + 1)**2/9
Let l = 13 - 9. Let y(p) be the third derivative of -1/480*p**6 + 0*p**3 - 2*p**2 - 1/96*p**l + 1/120*p**5 + 0*p + 0. Factor y(h).
-h*(h - 1)**2/4
Suppose -2 = -3*c + 16. Let w(z) be the third derivative of -2/3*z**3 + 0 + 0*z + 3/35*z**7 - 13/60*z**5 + z**2 + 1/8*z**c - 2/3*z**4. Factor w(m).
(m - 1)*(2*m + 1)*(3*m + 2)**2
Suppose 0 = -4*t - 5*z + 1, -5*t - 18 - 2 = 2*z. Let g = 6 +