2*o**2 + 2. Let f be s(2). Let p(q) be the first derivative of -2*q**4 + 20/3*q**3 + 9 + q - 17/4*q**f. Factor p(a).
-(a - 2)*(4*a - 1)**2/2
Let c(f) be the third derivative of f**9/3024 + f**8/1344 - f**7/504 - f**6/144 + f**4/3 - 24*f**2. Let g(t) be the second derivative of c(t). Factor g(y).
5*y*(y - 1)*(y + 1)**2
Factor -10*n**4 + n**5 - 46842*n**2 + n**3 + 16*n**3 + 46834*n**2.
n**2*(n - 8)*(n - 1)**2
Let o(p) be the second derivative of p**7/189 + 7*p**6/135 + p**5/9 - p**4/27 - 11*p**3/27 - 5*p**2/9 + 12*p. Find a such that o(a) = 0.
-5, -1, 1
Factor 0*k + 2/3*k**2 + 2/9*k**3 - 8/9.
2*(k - 1)*(k + 2)**2/9
Let t(z) be the first derivative of 2*z**3/27 - 17*z**2/9 + 32*z/9 - 54. Factor t(c).
2*(c - 16)*(c - 1)/9
Let u = -23 + 39. Factor -2 + 4*f + 5 - 28*f**3 - 3 + u*f**4 + 8*f**2.
4*f*(f - 1)**2*(4*f + 1)
Let d(u) be the second derivative of u**8/20160 + u**7/2520 + u**6/1080 - 17*u**4/12 - 4*u. Let i(y) be the third derivative of d(y). Factor i(l).
l*(l + 1)*(l + 2)/3
Let t be (-882)/(-770) + (-7 - (-160)/25). Factor t*r**2 - 10/11*r - 4/11.
2*(r - 2)*(3*r + 1)/11
Let a(m) be the first derivative of -1/10*m**4 + 12/5*m + 7/5*m**2 + 0*m**3 - 21. Factor a(s).
-2*(s - 3)*(s + 1)*(s + 2)/5
Let r(k) be the second derivative of 1/12*k**4 + 1/6*k**2 + 0 - k + 2/9*k**3. Find o such that r(o) = 0.
-1, -1/3
Let w = -1786 + 1836. Let c(g) be the first derivative of -10*g**2 - 2/3*g**3 - 6 - w*g. Factor c(q).
-2*(q + 5)**2
Let t(h) be the second derivative of -h**6/75 + 3*h**5/50 - 4*h**3/15 + 166*h. Factor t(c).
-2*c*(c - 2)**2*(c + 1)/5
Let a(w) = -15*w**4 + 259*w**3 - 255*w**2 + 11. Let f(d) = -5*d**4 + 86*d**3 - 85*d**2 + 4. Let i(c) = 4*a(c) - 11*f(c). Factor i(v).
-5*v**2*(v - 17)*(v - 1)
Let c(x) be the second derivative of -3*x**6/5 - 3*x**5/20 + 18*x**4 + 54*x**3 + 24*x**2 + 73*x. Determine i, given that c(i) = 0.
-2, -1/6, 4
Let u(g) be the third derivative of g**7/504 + g**6/144 - g**5/4 - 31*g**4/24 + 50*g**2. Let k(v) be the second derivative of u(v). Factor k(m).
5*(m - 2)*(m + 3)
Let g = -713 - -717. Let d(v) be the second derivative of 0 - 1/100*v**5 + 1/20*v**g - 3*v - 1/10*v**3 + 1/10*v**2. Factor d(h).
-(h - 1)**3/5
Let p(a) be the third derivative of 7*a**6/780 + 23*a**5/390 - 11*a**4/78 - 8*a**3/39 - 217*a**2. Factor p(d).
2*(d - 1)*(d + 4)*(7*d + 2)/13
Let j = -8641/105 - -577/7. Factor -2/15*z + j*z**3 + 2/3 - 2/3*z**2.
2*(z - 5)*(z - 1)*(z + 1)/15
Suppose 0 = 2*g - 3*p + 76, 2*p = -g + 5*p - 38. Let f = 40 + g. Factor 2/5 - 1/5*q**3 + 1/5*q - 2/5*q**f.
-(q - 1)*(q + 1)*(q + 2)/5
Let d(c) = -c**3 + 27*c**2 + 245*c + 729. Let r(m) = -7*m**2 + 1676 + 1961*m + 223*m**2 + 4156 - 9*m**3. Let g(a) = -51*d(a) + 6*r(a). What is q in g(q) = 0?
-9
Let z = -4290 + 12872/3. Factor 4/3*j**3 - j - 1/3*j**5 + 2/3*j**2 + 0*j**4 - z.
-(j - 2)*(j - 1)*(j + 1)**3/3
Determine b so that -35/4*b + 0 + 1/8*b**2 = 0.
0, 70
Let t(v) = -v**2 - 3*v - 2. Let f(b) = -b - 2. Let p(j) = -4*f(j) - t(j). Factor p(z).
(z + 2)*(z + 5)
Suppose m = -3*z - 2 - 8, -5*z - 20 = 0. Factor 2*a**m - 4*a**2 - 16*a**2 + 22*a - 4.
-2*(a - 1)*(9*a - 2)
Let h(f) be the second derivative of -f**6/72 + f**5/12 - 2*f**3/3 - 18*f. Let p(z) be the second derivative of h(z). Factor p(s).
-5*s*(s - 2)
Let a(j) be the first derivative of -j**4/42 + j**2/7 + 7*j - 17. Let p(i) be the first derivative of a(i). Factor p(n).
-2*(n - 1)*(n + 1)/7
Let s(p) be the first derivative of 2*p**3/7 + 289*p**2/7 - 388*p/7 - 462. Factor s(w).
2*(w + 97)*(3*w - 2)/7
Let i(p) be the third derivative of 1/80*p**6 + 0*p**3 - 1/140*p**7 + 0 + 0*p + 1/40*p**5 - 1/16*p**4 + 13*p**2. Let i(w) = 0. What is w?
-1, 0, 1
Let b = -1610/57 - -562/19. Factor -4/3*o**2 - o**3 + 0 + 2/3*o**4 + 1/3*o**5 + b*o.
o*(o - 1)**2*(o + 2)**2/3
Let a(h) be the second derivative of h**6/6 - 3*h**5/2 + 10*h**4/3 + 67*h. Factor a(m).
5*m**2*(m - 4)*(m - 2)
Determine f so that 80*f + 12*f**2 + 233*f + 175*f + 414 - 578 = 0.
-41, 1/3
Let y(i) = -i**3 + i**2 + i - 1. Let t(q) = -8*q**3 + 5*q**2 + 14*q + 1. Let l(p) = -p**2 + 4*p + 1. Let f be l(4). Let u(o) = f*t(o) - 5*y(o). Factor u(v).
-3*(v - 2)*(v + 1)**2
Let g(w) be the first derivative of 1536*w - 288*w**2 - 3/4*w**4 + 24*w**3 - 1. Solve g(x) = 0.
8
Let r be 2744/1274 + (-2)/13. Let p(l) be the second derivative of 0 - 10*l - 1/6*l**4 - l**r - 2/3*l**3. Factor p(x).
-2*(x + 1)**2
Let m(w) be the third derivative of 0 + 1/3*w**3 + 0*w + 1/30*w**5 - w**2 - 1/6*w**4. Factor m(d).
2*(d - 1)**2
Let r(g) = g**3 - g**2 - g. Let w(n) = 15*n**3 - 3*n**2 - 3*n + 3. Suppose 28 = -4*u - 5*t, 0 = -3*u - 3*t - 0*t - 24. Let v(m) = u*r(m) + w(m). Factor v(b).
3*(b + 1)**3
Let j = 656/2071 - 2/2071. Let d = j + 58/57. What is r in 2/3*r**3 + 0 + 2/3*r + d*r**2 = 0?
-1, 0
Let h be (-4)/10 - (-102)/30 - 0. What is b in -625 + 3*b**3 + 2*b**3 - 75*b**2 + 361*b + 14*b + 0*b**h = 0?
5
Let m be ((-24)/(-72))/((-5)/(-33)). Determine l, given that -26/5*l**2 - 12/5*l - l**5 + 12/5*l**4 + 8/5 + m*l**3 = 0.
-1, 2/5, 2
Let r(m) = m**5 + m**3 - m**2 + 1. Let v(x) = -8*x**5 - x**4 + 5*x**2 - 4. Let y(j) = 4*r(j) + v(j). Suppose y(o) = 0. What is o?
-1, -1/4, 0, 1
Let q be (-9 - -7 - -1)/(25/(-70)). Factor 0 - 4/5*p**2 + q*p**3 + 0*p.
2*p**2*(7*p - 2)/5
Let z be ((-46)/16 - -5)/(1/(-178)). Let x = z + 382. Factor 21/4*b + 3/2 + x*b**2.
3*(b + 1)*(5*b + 2)/4
Let t be -6 - (5047/(-840) + 0). Let d(c) be the third derivative of c**2 + 0*c - t*c**6 + 0 + 1/20*c**5 + 1/6*c**3 - 1/8*c**4. Factor d(f).
-(f - 1)**3
Let a(y) be the third derivative of -y**7/840 + 7*y**6/160 - 41*y**2. Let a(u) = 0. Calculate u.
0, 21
Let i(k) be the second derivative of -k**7/189 + 2*k**6/135 - k**4/27 + k**3/27 + 98*k. Factor i(y).
-2*y*(y - 1)**3*(y + 1)/9
Let l(s) be the first derivative of 0*s**2 - 1/7*s**3 + 3/28*s**4 + 0*s - 4. Solve l(r) = 0.
0, 1
Suppose 17*m + 111 = -110. Let d be ((-1)/(-2))/((-2)/(5 + m)). Determine x so that -2/9*x**4 + 8/9*x**d - 4/9*x - 2/3 + 4/9*x**3 = 0.
-1, 1, 3
Let g(h) be the third derivative of 0*h**4 - 1/30*h**6 + 12*h**2 + 0 + 0*h**3 + 0*h - 1/15*h**5. Let g(l) = 0. Calculate l.
-1, 0
Let p(r) = -158*r + 1284. Let a be p(8). Factor -1/5*i**2 + 4*i - a.
-(i - 10)**2/5
Let p(m) = -525*m**4 + 972*m**3 - 477*m**2 + 84*m - 27. Let d(y) = 75*y**4 - 139*y**3 + 68*y**2 - 12*y + 4. Let v(q) = 27*d(q) + 4*p(q). Factor v(i).
-3*i*(i - 1)*(5*i - 2)**2
Let x(t) be the third derivative of -7*t**5/300 + 18*t**4/5 + 62*t**3/15 - 54*t**2 - 2. Solve x(g) = 0.
-2/7, 62
Suppose 0 = 300*z - 301*z. Let j(r) be the second derivative of 8*r - 1/24*r**4 + z*r**3 + 0*r**2 + 0 - 1/20*r**5 - 1/60*r**6. Determine p so that j(p) = 0.
-1, 0
Suppose 3*u - 5*p = -84, 5*u + 0*p + 174 = -3*p. Let n be 3 + ((-12)/(-18))/(8/u). Find s, given that -2*s - n*s**5 + 0 + 5*s**2 - 9/2*s**3 + 7/4*s**4 = 0.
0, 1, 2
Let v be (27/(-12))/(2/((-32)/6)). Let x(q) be the third derivative of 1/280*q**7 - 1/80*q**5 + 0 + 0*q**v + 0*q**4 - 3*q**2 + 0*q**3 + 0*q. Factor x(i).
3*i**2*(i - 1)*(i + 1)/4
Suppose -12*o = -13*o + 6. Suppose -12*d - o = -14*d. Find n such that -9*n**3 + 2*n + 7*n + 9*n**2 - d*n**2 - 6 = 0.
-1, 2/3, 1
Solve -3227 - 48326 - 5*v**2 + 2269 + 4*v**2 - 428*v - 16*v = 0.
-222
Let p(h) be the first derivative of h**5/20 - 3*h**4/4 + 9*h**3/2 + 6*h**2 - 3. Let r(c) be the second derivative of p(c). Factor r(f).
3*(f - 3)**2
Let l(m) be the first derivative of 12 + m - 1/9*m**3 - 1/90*m**5 - 1/18*m**4 - 1/9*m**2. Let g(w) be the first derivative of l(w). Factor g(r).
-2*(r + 1)**3/9
Suppose r - 5 = 23. Let s(y) be the first derivative of 8*y**3 - 54*y - 3. Let q(h) = 5*h**2 - 11. Let t(n) = r*q(n) - 6*s(n). Determine o so that t(o) = 0.
-2, 2
Let t = -1447 + 86821/60. Let w(j) be the third derivative of -1/12*j**4 + 0*j**3 + 6*j**2 - t*j**5 + 0*j + 0. Find z such that w(z) = 0.
-2, 0
Let d be -629*(-10)/(-900) + 7. Let f(s) be the third derivative of -2/63*s**7 - d*s**6 - 1/112*s**8 + 0*s**3 + 0*s**5 + 0 + 0*s**4 + 0*s + 3*s**2. Factor f(l).
-l**3*(l + 2)*(9*l + 2)/3
Let i be (-15)/(-24)*4 - 6/3. Let d(a) be the second derivative of i*a**4 + 9/20*a**5 + 0*a**2 - 4*a + 0 + 0*a**6 + 0*a**3 - 1/14*a**7. Factor d(m).
-3*m**2*(m - 2)*(m + 1)**2
Let k(z) be the third derivative of -z**6/30 + z**5/15 + z**4/6 - 2*z**3/3 + 53*z