+ 11*m**2.
-3*(m + 1)*(m + 18)
Let q(y) = 2*y**2 + 4*y + 1. Let r(s) = -105*s**2 - 147*s - 27. Let z(u) = -15*q(u) - r(u). Factor z(a).
3*(a + 1)*(25*a + 4)
Let t(o) be the third derivative of 0*o**3 - 1/560*o**7 + 0*o + 13*o**2 + 0*o**4 - 1/896*o**8 + 0 + 1/160*o**6 + 0*o**5. Factor t(p).
-3*p**3*(p - 1)*(p + 2)/8
Suppose 12 = -s + 2*s. Let k = -9 + s. Factor 78 - 2*p - 78 + p**5 + k*p - 2*p**3.
p*(p - 1)**2*(p + 1)**2
Suppose 2*h + 2*t - 30 = -0*h, 0 = -5*h + 4*t + 84. Let u be 6/(-45) + h/45. Factor -u + 2/9*s**2 + 0*s.
2*(s - 1)*(s + 1)/9
Let n = 85 + -68. Suppose 3*y + 5*p - 4*p = n, -5*y - 3*p = -35. Factor -1/3*i**5 + 0 + 2/3*i**2 + 1/3*i + 0*i**3 - 2/3*i**y.
-i*(i - 1)*(i + 1)**3/3
Let m(b) be the second derivative of -b**7/21 + 4*b**6/25 + 8*b**5/25 - 8*b**4/5 + 16*b**3/15 + 217*b. Suppose m(q) = 0. Calculate q.
-2, 0, 2/5, 2
Let y be (-9)/(-18) + 10/(-60)*2. Suppose y*z**2 + 2/3 + 2/3*z = 0. What is z?
-2
Let o(d) be the third derivative of -d**7/630 + d**4/2 + 28*d**2. Let p(x) be the second derivative of o(x). Factor p(v).
-4*v**2
Suppose -1/4*f**3 + 0*f - 10*f**2 + 0 = 0. What is f?
-40, 0
Suppose -3*a - 19 - 152 = 0. Let m = a - -402/7. Determine w so that 3/7*w**3 + 0 - 3/7*w**4 - 3/7*w + m*w**2 = 0.
-1, 0, 1
Let g = 19 + -14. Suppose -g*h + 4 = -6. Let 4*a**5 + 0*a**3 - 2*a**4 - h*a**5 + 2*a**2 - 2*a**3 = 0. Calculate a.
-1, 0, 1
Let d be 43 - 36 - ((-76)/(-8) + -3). Suppose 3/2*t - 5/2*t**2 + d*t**4 + 1/2*t**3 + 0 = 0. What is t?
-3, 0, 1
Let h(p) be the second derivative of -3*p**7 - 38*p**6 - 497*p**5/5 + 656*p**4/3 - 455*p**3/3 + 50*p**2 - 115*p + 2. Solve h(g) = 0 for g.
-5, 2/7, 1/3
Let j(n) = 10*n**5 + 25*n**4 - 17*n**3 - 2*n + 2. Let d(a) = 1 + 9*a - 40*a**5 - 3 - 100*a**4 + 69*a**3 - 7. Let q(u) = -2*d(u) - 9*j(u). Factor q(m).
-5*m**3*(m + 3)*(2*m - 1)
Let a(z) = 9*z**2 - 5*z - 16. Suppose -4*g = -3*g - 8. Suppose 3*o - g*o = 25. Let p(c) = c**2 - c. Let y(w) = o*p(w) + a(w). Solve y(u) = 0 for u.
-2, 2
Let j = 23 - -18. Let h = j - 41. Find x, given that 2/7*x**5 + 2/7*x**4 + 0*x + 0*x**2 + 0*x**3 + h = 0.
-1, 0
Let s(g) be the first derivative of g**4/2 + 8*g**3/3 - g**2 - 8*g - 118. Suppose s(o) = 0. What is o?
-4, -1, 1
Let 74*a**2 - 242*a**2 - 13 - 7 + 116*a = 0. What is a?
1/3, 5/14
Let r(q) be the second derivative of 0 + 2/3*q**4 - 7/5*q**5 - 4/21*q**7 + 0*q**3 - 10*q + 14/15*q**6 + 0*q**2. Solve r(y) = 0.
0, 1/2, 1, 2
Let t(x) be the second derivative of x**4/102 + 22*x**3/51 - 23*x**2/17 + 11*x - 1. Factor t(z).
2*(z - 1)*(z + 23)/17
Let k be (45/66)/(204/374). Factor 7/4*h**2 + 11/4*h + k + 1/4*h**3.
(h + 1)**2*(h + 5)/4
Factor -4320 + 280*c - 4*c**2 + 2184 - 2764.
-4*(c - 35)**2
Let b(l) = -l**3 - 7*l**2 - 7*l - 10. Let o be b(-7). Let h be (-1)/3 + 13/o. Suppose 4/5*c**2 + h*c - 2/5*c**3 + 0 = 0. Calculate c.
0, 2
Let u(j) be the first derivative of j**5/5 - j**4/18 - 2*j**3/9 - 9*j - 15. Let m(s) be the first derivative of u(s). Factor m(b).
2*b*(2*b + 1)*(3*b - 2)/3
Let x(r) be the first derivative of r**5/20 + 11*r**4/16 + 19*r**3/12 + 9*r**2/8 + 132. Determine y so that x(y) = 0.
-9, -1, 0
Let o(f) be the third derivative of f**7/42 + 31*f**6/3 + 1922*f**5 + 595820*f**4/3 + 36940840*f**3/3 - f**2 + 1. Factor o(v).
5*(v + 62)**4
Let f(b) be the second derivative of 55*b**4/24 + 80*b**3/9 - 5*b**2/3 - 5*b - 10. Factor f(w).
5*(w + 2)*(33*w - 2)/6
Let 0*h**2 + 0 + 3*h**3 - 2*h**4 + 1/3*h**5 + 0*h = 0. Calculate h.
0, 3
Let s = 581/4 + -8707/60. Let a(r) be the second derivative of 0 - 1/3*r**4 + 0*r**2 - 1/5*r**5 + 0*r**3 + 2/21*r**7 + s*r**6 + 2*r. Factor a(t).
4*t**2*(t - 1)*(t + 1)**2
Let -8/7 + 6/7*k - 6/7*k**3 + 8/7*k**2 = 0. What is k?
-1, 1, 4/3
Let q be (-24)/132 - 998/(-44). Let r = q - 22. Let -r*l - 1/2 - 1/2*l**5 + l**3 - 1/2*l**4 + l**2 = 0. What is l?
-1, 1
Let t be (-30)/35*(-28)/18. Find j such that 4/3*j**2 - 4/3*j**3 + t*j + 0 - 4/3*j**4 = 0.
-1, 0, 1
Let f(x) = -x**3 - 12*x**2 - 17. Let l be f(-12). Let t = 21 + l. Find n such that 5 - 5 + n**3 + 0*n**3 + n**t = 0.
-1, 0
Let y(c) = -3*c**3 - 84*c**2 + 9*c + 360. Let s(m) = 3*m**3 + 82*m**2 - 8*m - 360. Let i(q) = -3*s(q) - 4*y(q). Determine t, given that i(t) = 0.
-30, -2, 2
Let k(w) be the third derivative of w**8/2520 - 19*w**7/2520 - w**6/72 - w**5/60 - 2*w**2. Let o(i) be the third derivative of k(i). Factor o(v).
2*(v - 5)*(4*v + 1)
Let q(k) be the third derivative of k**5/45 - 2*k**4/3 - 26*k**3/9 + 218*k**2. Factor q(j).
4*(j - 13)*(j + 1)/3
Factor 62/17*i + 2/17*i**2 + 0.
2*i*(i + 31)/17
Let j(y) = -6*y**3 - 2*y**2 - 2*y - 12. Let s be j(3). Let l be (-1 + 13/(-3))*s/440. Factor l*b**3 + 0 + 0*b**2 - 4/5*b - 8/5*b**4.
-4*b*(b - 1)**2*(2*b + 1)/5
Let w(d) = -d**3 - 9*d**2 + 5*d + 1. Let s(y) = -1 - y**2 + 0 - y**3 + 2*y**3. Let f(b) = -4*s(b) + w(b). Factor f(k).
-5*(k - 1)*(k + 1)**2
Let k(o) be the second derivative of -o**7/252 + o**6/60 - o**5/60 - o**4/36 + o**3/12 - o**2/12 + 213*o. Factor k(m).
-(m - 1)**4*(m + 1)/6
Let m(a) be the third derivative of a**7/560 - 9*a**6/320 + 3*a**5/20 - a**4/4 - 350*a**2. Suppose m(x) = 0. What is x?
0, 1, 4
Factor 160 + 1/10*b**2 + 8*b.
(b + 40)**2/10
Factor 15 - 84 - 30*r + 44 - 5*r**2.
-5*(r + 1)*(r + 5)
Suppose 3*u = -6 + 18. Factor 2*x**5 + 43*x**3 - 45*x**3 - x**u + 2*x**2 - x**4.
2*x**2*(x - 1)**2*(x + 1)
Find s such that 3 + 23/2*s + 4*s**4 + 1/2*s**5 + 12*s**3 + 17*s**2 = 0.
-3, -2, -1
Let u be ((-2)/3)/((6 - 0) + 78/(-9)). Factor 0 + 1/4*h - u*h**2 + 1/4*h**4 - 1/4*h**3.
h*(h - 1)**2*(h + 1)/4
Let x be (20/(-14))/((-28)/(-4830)). Let z = 247 + x. Factor 4/7*n**3 - 2/7*n**5 - z*n**2 + 2/7 + 2/7*n**4 - 2/7*n.
-2*(n - 1)**3*(n + 1)**2/7
Let o(g) be the third derivative of 0*g + 0*g**3 + 1/5*g**6 + 4/3*g**4 + 0 - 2/105*g**7 + 5*g**2 - 4/5*g**5. Factor o(t).
-4*t*(t - 2)**3
Let i(r) be the third derivative of 5/8*r**4 + 0 + 0*r**3 - 1/24*r**6 + 0*r + 1/6*r**5 - 11*r**2. Factor i(k).
-5*k*(k - 3)*(k + 1)
Let l be (-19)/60 + ((-45)/12)/5. Let a = l - -7/5. Factor -1/3*p**2 + a*p + 0 - 2/3*p**3.
-p*(p + 1)*(2*p - 1)/3
Let j(c) be the first derivative of -2*c**3/3 + 55*c**2 + 112*c - 73. Factor j(d).
-2*(d - 56)*(d + 1)
Suppose -3*a = -a + 3*q - 16, 16 = -2*a + 5*q. Factor 6*w - 8 - 43*w**2 + 46*w**a - 4*w**3 + 3*w**3.
-(w - 4)*(w - 1)*(w + 2)
Suppose -4*w = -0*w - 60. Let o = w + -13. Suppose 2 + 9*m**3 - o - 3*m**3 + 9*m**2 = 0. Calculate m.
-3/2, 0
Let h be 613/(-15) + ((-34)/(-6) - 5). Let c = h - -41. Factor -16/5*k - c*k**2 - 12/5.
-4*(k + 1)*(k + 3)/5
Let b be -13 + (-21)/28 + (19 - 5). Factor 0 + 0*w**2 - 1/4*w**4 + 0*w**3 + b*w**5 + 0*w.
w**4*(w - 1)/4
Let b(a) be the third derivative of a**10/50400 - a**9/60480 + 17*a**5/60 - 2*a**2. Let j(u) be the third derivative of b(u). Factor j(x).
x**3*(3*x - 1)
Let s(v) = -29*v**5 + 80*v**4 - 58*v**3 - 89*v**2 + 51*v. Let z(m) = 7*m**5 - 20*m**4 + 14*m**3 + 22*m**2 - 13*m. Let r(g) = 2*s(g) + 9*z(g). Factor r(w).
5*w*(w - 3)*(w - 1)**2*(w + 1)
Let i = 5 + 3. Let a = i + -6. Solve -4*n**a + 2*n**2 + 0*n - 2*n + 3*n + 1 = 0.
-1/2, 1
Let a be 702/117 + 5/(-7)*6. Factor 0 + 2/7*t - a*t**2.
-2*t*(6*t - 1)/7
Let w be ((-45)/(-24))/(99/1524). Let d = w + -57/2. Factor 2/11 - d*m + 2/11*m**2.
2*(m - 1)**2/11
Let p(y) = 7*y**2 - 11*y - 1. Suppose -4*r = r + 2*g, 5*r - g - 15 = 0. Let v(z) = 6*z**2 - 10*z - r*z**2 + z + 3*z. Let m(f) = 2*p(f) - 5*v(f). Factor m(j).
-2*(j - 1)*(3*j - 1)
Suppose 5*k - 10 = -0. Suppose -15*i + 21 = -9. Factor -2*m**2 + 5*m**k - 4*m**3 + 0*m**i - 3*m**4 + 3*m + m**3.
-3*m*(m - 1)*(m + 1)**2
Let l = 1981/4965 + 1/993. Let g(u) be the first derivative of 1 + 0*u - 3/20*u**4 + l*u**3 - 3/25*u**5 + 0*u**2. Let g(z) = 0. Calculate z.
-2, 0, 1
Let g be (-1 + (-12)/8)*6. Let y = -12 - g. Solve y*r + 10*r**2 - 3*r - 32*r + 8 + 50*r**3 = 0 for r.
-1, 2/5
Suppose -23 = 3*p + 13. Let w be ((-4)/5)/(p/(-20) - 1). Factor -4/3*y**2 - 2/3*y**5 + w*y - 4/3*y**3 - 2/3 + 2*y**4.
-2*(y - 1)**4*(y + 1)/3
Let g(y) = -11*y - 128. Let x be g(-10). Let n be (16/(-168))/(3/x). Factor 0 + 0*l + 0*l**2 - 2/7*l**4 - n*l**3.
-2*l**3*(l + 2)/7
Let i be 3/(4 + (-7)/2). Factor 2*g**3 - 8*g**3 + i*g**3 - g**3 - 3*g**2.
-g**2*(g + 3)
Let n(u) be the first derivative of -u**5/30 + u**4/9 - 20*u - 14. Let x(o) be the first derivative of n(o). Let 