actor 4/7*k**4 + 2/7*k**5 + 0*k**2 + 2/7*k**3 + p*k + 0.
2*k**3*(k + 1)**2/7
Let u(n) = n**3 + n**2 + n. Let w be 1/(-3 + -6 + 10). Let h(z) = 35*z**4 + 96*z**3 + 81*z**2 + 26*z. Let i(f) = w*h(f) - 6*u(f). Factor i(o).
5*o*(o + 1)**2*(7*o + 4)
Let p be (2/(-96))/(1990/(-2388)). Let o(g) be the third derivative of 0 + 0*g + 15/8*g**4 + 5*g**2 + 4*g**3 + 3/10*g**5 - p*g**6. Factor o(f).
-3*(f - 8)*(f + 1)**2
Let f = 287/5 + -57. Let o = -2834134 - -2834136. Determine v so that 0 + 2/5*v**4 + f*v**3 - 2/5*v**o - 2/5*v = 0.
-1, 0, 1
Let w(a) be the first derivative of 7*a**7/1080 - 7*a**6/135 - a**5/10 - 2*a**4/27 + 47*a**3/3 - 25. Let s(q) be the third derivative of w(q). Factor s(i).
(i - 4)*(7*i + 2)**2/9
Let d(k) = -3*k**4 + 14*k**3 - 18*k**2 - 4. Let t(r) = 7*r**4 - 31*r**3 + 37*r**2 + 10. Let n(j) = -5*d(j) - 2*t(j). Determine b so that n(b) = 0.
0, 4
Let t = 7182 - 7180. Let o(k) be the second derivative of 14*k - 2*k**t - 1/12*k**4 + 0 - 2/3*k**3. Determine l so that o(l) = 0.
-2
Let y = -977369 + 10759359/11. Let h = y + -754. Factor 2/11*f**3 + 0*f + 8/11 - h*f**2.
2*(f - 2)**2*(f + 1)/11
Let a(g) be the third derivative of g**8/1848 + 31*g**7/1155 + 161*g**6/330 + 208*g**5/55 + 120*g**4/11 + 3932*g**2. Determine h, given that a(h) = 0.
-12, -5, -2, 0
Let r = 326 + -328. Let z be (r/(-7 + -3))/((-1)/(-36)). Suppose -6/5*d**5 + 3*d**2 + 24/5*d**3 - 9/5*d**4 - z*d + 12/5 = 0. Calculate d.
-2, 1/2, 1
Let t(h) be the first derivative of -2*h**3/3 - 9168*h**2 - 42026112*h + 14426. Suppose t(p) = 0. Calculate p.
-4584
Let t(v) be the third derivative of 0*v**3 + 4913/60*v**4 + 289/50*v**5 + 0*v - 2 + 165*v**2 + 1/525*v**7 + 17/100*v**6. Factor t(m).
2*m*(m + 17)**3/5
Factor -45/2 - q**3 - 35/2*q**2 - 39*q.
-(q + 1)*(q + 15)*(2*q + 3)/2
Let l(y) be the second derivative of -y**9/22680 + y**8/2016 + y**4/2 - 24*y - 1. Let x(o) be the third derivative of l(o). Factor x(a).
-2*a**3*(a - 5)/3
Let p be (-3 + 2)/((-1)/(-110)). Let h be p/(-68) - 14/(280/30). Solve 40/17*l - h*l**2 - 200/17 = 0 for l.
10
Factor 1/3*p**2 - 113/3*p - 38.
(p - 114)*(p + 1)/3
Let w(j) be the first derivative of j**8/5040 - j**6/540 + j**4/72 + j**3/3 + 36. Let l(g) be the third derivative of w(g). Factor l(m).
(m - 1)**2*(m + 1)**2/3
Let o = -3746 - -3746. Let b(m) be the first derivative of 0*m**3 + o*m + 5 - 3/32*m**4 + 0*m**2. Find p such that b(p) = 0.
0
Let b(k) be the first derivative of k**4/4 + k**3 - 44*k**2 + 2206. Suppose b(u) = 0. Calculate u.
-11, 0, 8
Let h be (-3230)/(-1989) - 10/(-65). Let b(r) be the third derivative of -4/3*r**4 - 3/10*r**5 + 0 + 0*r + h*r**3 - 7/360*r**6 - 21*r**2. Factor b(m).
-(m + 4)**2*(7*m - 2)/3
What is n in 522/5*n**3 + 776/5*n**4 + 0*n + 0 - 52*n**2 - 6/5*n**5 = 0?
-1, 0, 1/3, 130
Let u be 3 + 35 + -64 + (-106)/(-4). Determine n, given that -u*n**2 + 14*n - 98 = 0.
14
Let j be 19/(-4)*(6 - 4)*(-77)/44. Suppose 15/4 - 9/8*d**2 - j*d = 0. Calculate d.
-15, 2/9
Suppose 0 = w - 189*k + 187*k - 20, 0 = w - 5*k - 29. Factor -w - 149/3*y - 7/3*y**2.
-(y + 21)*(7*y + 2)/3
Let v be (288/1080)/(3/36*1). Solve v*b - 8/5*b**2 + 0 - 4/5*b**3 + 2/5*b**4 = 0 for b.
-2, 0, 2
Let u(l) be the second derivative of l**6/2880 + l**5/80 + 5*l**4/48 - l**3/3 + l**2/2 + 233*l. Let i(d) be the second derivative of u(d). Factor i(j).
(j + 2)*(j + 10)/8
Suppose -b + 6*b = 40. Solve 11*k + 12*k**3 + b*k**3 + 145*k + 78*k**2 - 11*k**3 + 72 = 0.
-6, -2, -2/3
Suppose 19*i - z = 17*i + 11, 2*i + z + 3 = 0. Factor -38/15*x - 22/15*x**i + 4/5.
-2*(x + 2)*(11*x - 3)/15
Let c(t) be the first derivative of t**6/12 - 2*t**5 + 17*t**4/2 - 32*t**3/3 + 2578. What is z in c(z) = 0?
0, 2, 16
Let q(l) be the first derivative of -9*l**5/5 - 3*l**4/4 + 3*l**3 + 3*l**2/2 + 868. Let q(k) = 0. What is k?
-1, -1/3, 0, 1
Let w = 1/1343850 - -34044193/9406950. Suppose -w*a - 32/21 - 18/7*a**2 - 8/21*a**3 + 2/21*a**4 = 0. What is a?
-2, -1, 8
Let s(q) be the third derivative of -1/240*q**6 + 0*q**3 + 1/30*q**5 - 1/16*q**4 + 0 + 87*q**2 + 0*q. Factor s(k).
-k*(k - 3)*(k - 1)/2
Let q = 438785 + -438782. Determine z so that 48/5*z**4 + 27/5*z**5 - 48/5*z**2 - 39/5*z**q + 12/5*z + 0 = 0.
-2, -1, 0, 2/9, 1
Let r(p) be the third derivative of 0 + 3*p**2 - 2*p + 2/3*p**3 + 5/9*p**4 - 7/180*p**5. What is y in r(y) = 0?
-2/7, 6
Let s be 25 + 11/((-88)/(-64)). Factor -s*t + 19*t + 4*t**2 - 7*t - 38*t + 3*t - 128.
4*(t - 16)*(t + 2)
Let p = -112929/5 + 22602. Factor 3/5*g**3 + 81/5*g + 27/5*g**2 + p.
3*(g + 3)**3/5
Suppose 4*a - 277 + 196 = -5*t, -4*t = 13*a - 202. Find m, given that 21*m**3 + 45/4*m**4 - 3*m**t - 15/4 - 15/2*m**2 - 18*m = 0.
-1, -1/4, 1, 5
Factor 6359*y + 1352 - 3*y**3 + 702*y**2 - 7754*y - 656.
-3*(y - 232)*(y - 1)**2
Factor 9/2 + 15*n**2 - 57/4*n - 21/4*n**3.
-3*(n - 1)**2*(7*n - 6)/4
Let o(w) = 8*w + 27. Let d be o(-3). Factor 7 + 10 - 2178*l**2 + d - 22 - 132*l.
-2*(33*l + 1)**2
Suppose 2442050 - 72795*o**3 - 2208*o**2 + 1216605*o + 145587*o**3 - 72791*o**3 = 0. Calculate o.
-2, 1105
Suppose 7*m + 445 - 1040 = 0. Factor -5 + 142*c**2 - 15 - 82*c**2 - m*c**2 + 45*c.
-5*(c - 1)*(5*c - 4)
Let l(y) = -10*y + 287. Let c be l(28). Let f be -4 + ((-80)/c)/(4/(-14)). Factor -3/2*w**3 - 288*w - f*w**2 - 768.
-3*(w + 8)**3/2
Solve 648/5 - 2/5*i**3 + 144/5*i - 6/5*i**2 = 0.
-6, 9
Let h = -118 - -186. Factor 13*a + 23*a + 40 + 3*a**2 + h.
3*(a + 6)**2
Suppose -788*b = -781*b - 910. Let k be 504/162*45/b. Factor -2/13*o**3 - 22/13*o + 10/13 + k*o**2.
-2*(o - 5)*(o - 1)**2/13
Let q(j) be the third derivative of 0 + 178*j**2 - 1/6*j**4 + 0*j - 1/9*j**3 + 133/360*j**5. Solve q(p) = 0.
-2/19, 2/7
Let w be (-11880)/(-462)*((-73)/(-3) - 1). Factor -31*d - 39*d - w - 130*d**2 - 134*d - 403*d + 27*d + 5*d**3.
5*(d - 30)*(d + 2)**2
Let g(a) be the third derivative of a**8/2016 + 13*a**7/315 + 49*a**6/720 - 17*a**5/60 - 4*a**2 - 18*a. Solve g(o) = 0.
-51, -2, 0, 1
Let c(d) be the third derivative of -2*d**7/105 + d**6/5 + d**5/5 - 10*d**4/3 + 8*d**3 + 348*d**2. Factor c(z).
-4*(z - 6)*(z - 1)**2*(z + 2)
Let 1240*x - 6*x**3 - 381*x**2 - 148 - 55*x - 650 = 0. What is x?
-133/2, 1, 2
Let c(n) be the third derivative of n**6/120 + 11*n**5/30 + 35*n**4/8 - 1362*n**2. Factor c(h).
h*(h + 7)*(h + 15)
Let d(x) = -1103*x + 123538. Let k be d(112). Suppose -12/11 - 2/11*m**k + 10/11*m = 0. Calculate m.
2, 3
Let l(d) be the first derivative of 0*d**4 + 7 - 4/15*d**3 + 2/75*d**5 - 2/5*d - 8/15*d**2. Determine z so that l(z) = 0.
-1, 3
Let l(x) be the second derivative of -x**7/252 + x**6/6 + 8*x**5/15 + x**4/36 - 7*x**3/4 - 8*x**2/3 + 332*x. Factor l(y).
-(y - 32)*(y - 1)*(y + 1)**3/6
Let m(v) = 26*v - 413. Let c be m(16). Find h such that 11/6*h + h**2 + 1/6*h**c + 1 = 0.
-3, -2, -1
Let d(g) be the second derivative of -g**5/10 + 35*g**4/6 - 287*g**3/3 - 323*g**2 + 5*g - 1562. Factor d(m).
-2*(m - 19)*(m - 17)*(m + 1)
Suppose 0 = 5*w - 20, n + 10*w - 8*w = 199. Determine b, given that 196*b + 5*b**2 + 0*b**2 - n*b = 0.
-1, 0
Let j(v) be the second derivative of -v**5/20 + v**4/12 + 11*v**3/6 + 3*v**2 + 112*v. Let p be j(4). Suppose 0 + 0*g**p + 1/5*g**4 + 0*g + g**3 = 0. What is g?
-5, 0
Let n = -50005/3 + 16687. Let u(a) be the first derivative of -32*a + n*a**2 - 8/3*a**3 - a**4 + 36 + 4/15*a**5. Let u(x) = 0. Calculate x.
-3, 2
Let s be ((-13)/957)/((-45)/945). Let r = s + -3/29. Factor -8/11*d + 6/11 + r*d**2.
2*(d - 3)*(d - 1)/11
Let w = 2/100765 + 100759/302295. Factor -3*k**2 + w*k**4 + 4/3*k + 4 + 0*k**3.
(k - 2)**2*(k + 1)*(k + 3)/3
Factor -175*z - z**3 - 4*z**3 - 480*z**2 + 410*z**2 - 38 - 72.
-5*(z + 1)*(z + 2)*(z + 11)
Let q(d) be the first derivative of -d**6/1980 - d**5/660 - 43*d**3/3 - 183. Let r(o) be the third derivative of q(o). Determine h so that r(h) = 0.
-1, 0
Let s(o) be the first derivative of 0*o - 1/6*o**3 - 3/4*o**2 - 167. Factor s(i).
-i*(i + 3)/2
Let q(u) be the third derivative of 0 + 4*u**2 + 1/100*u**5 - 22/5*u**3 - 26*u - 7/40*u**4. Factor q(o).
3*(o - 11)*(o + 4)/5
Let r be (4/(24/(-9)))/(4/(-376)). Let w(s) = -4*s - 12*s**2 - 244 + 376 + r*s. Let o(d) = 4*d**2 - 46*d - 44. Let f(y) = -17*o(y) - 6*w(y). Factor f(h).
4*(h - 11)*(h + 1)
Let w(q) be the third derivative of 32*q**2 + 5/336*q**8 + 1/6*q**5 + q + 0 - 1/7*q**7 + 1/3*q**6 - 15/8*q**4 + 10/3*q**3. Factor 