actor y(q).
-2*(q + 1)*(25*q + 1)/5
Let s(t) be the first derivative of t**5/5 + 15*t**4/2 - 67*t**3/3 - 48*t**2 - 4329. Determine k so that s(k) = 0.
-32, -1, 0, 3
Let r(b) = -17*b**3 - 45*b**2 - 42*b - 4. Let z be 132/88*(-2 + (-4)/(-6)). Let m(w) = -35*w**3 - 89*w**2 - 87*w - 8. Let h(x) = z*m(x) + 5*r(x). Factor h(a).
-(a + 1)*(a + 2)*(15*a + 2)
Let b(i) = 8563*i - 25687. Let y be b(3). Factor -15/2*r - 6*r**y - 3/2*r**3 - 3.
-3*(r + 1)**2*(r + 2)/2
Let b(s) be the second derivative of 17*s + 13/36*s**4 - 4 + 5/2*s**2 + 29/18*s**3 - 1/60*s**5. Find d, given that b(d) = 0.
-1, 15
Let v(c) be the third derivative of -c**5/12 - 12445*c**4/12 - 30975605*c**3/6 - 340*c**2 - 2*c - 1. Determine g, given that v(g) = 0.
-2489
Let w = -232939/4 + 58236. Solve 15 + 25*t - 45/4*t**3 + w*t**2 + 5/4*t**5 - 5/4*t**4 = 0 for t.
-2, -1, 2, 3
Let o(u) = -2*u**2 - 66*u + 70. Let v be o(-34). Determine i so that 0 + 2*i**v + i**4 - 9*i**3 + i**2 + 0 + 5*i**3 = 0.
0, 1, 3
Factor 1/6*n**3 - 6*n**2 - 45 + 63/2*n.
(n - 30)*(n - 3)**2/6
Let c(n) be the second derivative of -n**7/8820 - n**6/2520 + n**5/210 + 31*n**4/12 + n**3/6 - 107*n + 1. Let d(s) be the third derivative of c(s). Factor d(t).
-2*(t - 1)*(t + 2)/7
Factor 0*i - 2/9*i**4 + 0*i**2 + 380/9*i**3 + 0.
-2*i**3*(i - 190)/9
Let s(j) = 5*j**4 + j**3 - j**2 - 1. Let r(y) = -4*y**4 + 220*y**3 + 369*y**2 + 8. Let b(o) = 5*r(o) + 40*s(o). Factor b(t).
5*t**2*(6*t + 19)**2
Let l = -919036 + 919041. Let 64/5 - 44/5*o**2 - 4*o**4 - 2/5*o**l + 64/5*o - 62/5*o**3 = 0. Calculate o.
-4, -2, -1, 1
Let 64 - 310/7*t**2 - 8/7*t**3 - 1714/7*t = 0. Calculate t.
-32, -7, 1/4
Let h be (-6 + (-11288)/(-1870))/(8/280). Determine n, given that 2/11*n**3 + 14/11 - 2/11*n - h*n**2 = 0.
-1, 1, 7
Let d(o) be the second derivative of 10/3*o**4 + 0*o**2 + 4/5*o**6 + 30 - 2/21*o**7 - 2*o**3 - 12/5*o**5 + 2*o. Determine g so that d(g) = 0.
0, 1, 3
Let w(f) be the second derivative of -f**7/21 + 154*f**6/5 - 70209*f**5/10 + 560430*f**4 + 7373808*f**3 + 34167744*f**2 + f + 8. Factor w(s).
-2*(s - 156)**3*(s + 3)**2
Suppose -6 = 3*t, -7*u + 4*u = -5*t - 7. Let m be (-3)/(u/2*30)*4. Find n, given that -36/5*n - 3*n**4 - 82/5*n**3 + 28/5*n**5 + m + 101/5*n**2 = 0.
-2, 1/4, 2/7, 1
Let b(k) be the first derivative of 36/7*k**2 + 216/7*k + 6/35*k**5 - 22/7*k**3 + 16 - 3/7*k**4. Factor b(p).
6*(p - 3)**2*(p + 2)**2/7
Let o be (-128)/(-28) - (-28)/(-49). Factor -115*d**4 + 4*d**5 - 1061*d**2 + 985*d**3 - d**o - 89*d**3 + 277*d**2.
4*d**2*(d - 14)**2*(d - 1)
Suppose 0 = -12*q + 80 - 92. Let l be ((-14)/(-12) - q) + 10/(-20). Solve -7/3*s - 2/3 - l*s**3 - 1/3*s**4 - 3*s**2 = 0 for s.
-2, -1
Let n(q) = q**3 - 30*q**2 - 259*q + 24. Let v be n(-7). Let i(c) be the third derivative of v*c**2 + 0*c - 25/16*c**3 - 5/32*c**4 - 1/160*c**5 + 0. Factor i(t).
-3*(t + 5)**2/8
Let t(z) = -40*z + 40. Let g be t(1). Let h(f) be the first derivative of 6*f**5 + 0*f + g*f**2 + 9 - 4*f**4 + 2/3*f**3. Find m, given that h(m) = 0.
0, 1/5, 1/3
Let p(v) = v**2 + 25*v + 56. Let f be p(-23). Factor -22*k + 12 + 0*k - f*k - 30*k**3 + 35*k**3 + 3*k**2.
(k - 2)*(k + 3)*(5*k - 2)
Factor 4*u**3 + 1400895*u + 226951 + 312785 - 3131836 + 6436*u**2 + 1184765*u.
4*(u - 1)*(u + 805)**2
Let k be 3 + -3 + 3*1. Suppose -352 - 512 = -32*s. Suppose 13*l + k*l**2 - 20*l**2 + 32 + 5*l**2 + s*l = 0. Calculate l.
-2/3, 4
Factor 0 - 33/2*w + 1/2*w**3 + 4*w**2.
w*(w - 3)*(w + 11)/2
Let v = -536 + 1609/3. Let y(z) be the second derivative of -z**2 - 1/10*z**5 + 0 - 8*z + 1/6*z**4 + v*z**3. Factor y(u).
-2*(u - 1)**2*(u + 1)
Let z(j) = 16*j**2 - 214*j - 464. Let u(c) = -5*c**2 + 71*c + 154. Let t(y) = -7*u(y) - 2*z(y). Factor t(x).
3*(x - 25)*(x + 2)
Let r(s) be the second derivative of s**6/10 + 603*s**5/20 + 247*s**4 + 786*s**3 + 1176*s**2 - 2*s - 240. Find k such that r(k) = 0.
-196, -2, -1
Suppose 785*i = 58*i. Factor -9*f**2 + i - 24*f + 3/2*f**3.
3*f*(f - 8)*(f + 2)/2
Let l be (-180)/(-22) + (-18)/99. Let w be 2/l*168/210. Factor 0 - 1/5*o**2 - w*o.
-o*(o + 1)/5
Factor 152/3 + 26*z + 1/3*z**2.
(z + 2)*(z + 76)/3
Let l(n) be the third derivative of 5/54*n**4 + 2*n + 21*n**2 + 0*n**3 + 0 - 1/30*n**5. Find h, given that l(h) = 0.
0, 10/9
Let p(c) be the third derivative of -c**5/54 - 257*c**4/36 + 620*c**3/27 + 2*c**2 - 51*c + 2. Factor p(r).
-2*(r + 155)*(5*r - 4)/9
Suppose 90*j**2 + j**3 + 3243 - 103*j - 857*j - 8*j**3 - 1163 + 12*j**3 = 0. What is j?
-26, 4
Let o(i) be the second derivative of 2*i**3 + 31*i - 1/5*i**5 - 1/6*i**4 + 1/30*i**6 + 0 + 9/2*i**2. Factor o(y).
(y - 3)**2*(y + 1)**2
Suppose -18*k - 186/23*k**3 + 324/23 - 914/23*k**2 - 10/23*k**4 = 0. Calculate k.
-9, -1, 2/5
Let f(j) be the third derivative of -1/80*j**5 + 2 + 0*j**3 + 3/32*j**4 - 41*j**2 + 0*j. Find q such that f(q) = 0.
0, 3
Factor 350*r - 89/4*r**2 + 6875 + 1/4*r**3.
(r - 50)**2*(r + 11)/4
Let u(p) be the third derivative of 1/100*p**5 + 14*p**2 + 441/10*p**3 + 0 - 21/20*p**4 + 0*p. Factor u(k).
3*(k - 21)**2/5
Let o(k) be the second derivative of -3*k**5/20 - 215*k**4/4 - 427*k**3/2 - 639*k**2/2 + 1266*k. Factor o(r).
-3*(r + 1)**2*(r + 213)
Suppose 0 - 1/4*d**3 - 18225*d - 135*d**2 = 0. Calculate d.
-270, 0
Let n be (-6)/(-6)*(-3 + 3)*-1. Let a(u) be the second derivative of -1/3*u**4 + 14*u + n*u**3 + 0 + 0*u**2. Factor a(b).
-4*b**2
Let w(a) be the second derivative of -a**4/32 - 905*a**3/8 - 2457075*a**2/16 + 7394*a. Determine o, given that w(o) = 0.
-905
Let u(w) be the second derivative of -16*w**3 + 39 + 13/3*w**4 - w - 8*w**2. Suppose u(d) = 0. Calculate d.
-2/13, 2
Let k(u) be the third derivative of 0 - 23/48*u**4 + 0*u - 13/120*u**5 - 77*u**2 - 11/12*u**3 - 1/240*u**6. Factor k(r).
-(r + 1)**2*(r + 11)/2
Let g(t) be the second derivative of t**4/4 - 231*t**3 + 160083*t**2/2 - 152*t + 1. Factor g(o).
3*(o - 231)**2
Let j(u) = 2*u**2 + 13*u - 22. Let d be j(-8). Solve -120*c**3 - 50*c**2 + 0*c**d + 34*c**4 - 13*c - 5*c**5 + 138*c + 16*c**4 = 0 for c.
-1, 0, 1, 5
Let r = 150391 + -150389. Factor 1/2*b**5 + r - 1/2*b**3 + 11/2*b**2 - 3/2*b**4 - 6*b.
(b - 2)*(b - 1)**3*(b + 2)/2
Suppose -111 + 273 = 6*h. Suppose 79 + 29 = h*y. Find d such that -4/3*d**5 - 4/3*d**y + 0*d**2 + 0 + 8/3*d**3 + 0*d = 0.
-2, 0, 1
Factor -553 + 1105/2*s + 1/2*s**2.
(s - 1)*(s + 1106)/2
Let -10*f**4 - 5 + 417*f - 25*f**3 - 5*f**4 - 392*f + 15 + 5*f**4 = 0. Calculate f.
-2, -1, -1/2, 1
Let x = 8407/40 + -1675/8. Factor x*o**4 + 0 + 2/5*o**3 - 2/5*o**2 + 0*o.
2*o**2*(o + 1)*(2*o - 1)/5
Let j be -95 - -77 - (8 + -28 + 2). Factor 6/13*m**3 + 4/13*m**2 + j + 0*m - 10/13*m**4.
-2*m**2*(m - 1)*(5*m + 2)/13
Suppose -5*y - 3713 + 3733 = 0. Let g(i) be the second derivative of -1/6*i**3 - 1/10*i**5 + i**2 + 0 + 3*i - 5/12*i**y. Factor g(j).
-(j + 1)*(j + 2)*(2*j - 1)
Let w(g) be the first derivative of -188 + 0*g - 1/30*g**6 + 0*g**3 + 0*g**2 + 6/25*g**5 + 7/20*g**4. Factor w(x).
-x**3*(x - 7)*(x + 1)/5
Let t be ((-444)/1036)/(4/98)*12/(-63). Find f, given that 16/7*f - 2/7*f**5 + 0 - 8/7*f**4 + 4*f**t + 6/7*f**3 = 0.
-4, -1, 0, 2
Let l(j) = 4*j**3 + 126 - 5*j**3 - 125 + 3*j**2 - 11*j. Let r(o) = 4*o**3 - 9*o**2 + 34*o - 1. Let n(v) = 21*l(v) + 6*r(v). Find d, given that n(d) = 0.
-5, 1
Find a, given that 32/11*a**4 + 148/11*a**3 + 40/11 + 158/11*a + 232/11*a**2 - 2/11*a**5 = 0.
-1, 20
Let j(g) = -g + 5. Let f be j(3). Let a(p) = -3*p**2 - 26*p + 23. Let l be a(-9). Factor l*q + 8 - 22*q**f + 15*q + 11*q.
-2*(q - 2)*(11*q + 2)
Suppose -10 = -11*l + 6*l. Let v = -550 - -552. Factor -12 + 0*q + 32*q - 7*q**v + 4*q**4 + 2*q**2 - 19*q**l.
4*(q - 1)**3*(q + 3)
Let g(k) be the third derivative of 5/9*k**3 + 0 - 101*k**2 + 0*k - 1/72*k**6 + 1/10*k**5 + 11/24*k**4. Factor g(j).
-(j - 5)*(j + 1)*(5*j + 2)/3
Let 75/4*g**3 + 3/4*g**4 - 186 - 261/2*g**2 + 273*g = 0. Calculate g.
-31, 2
Suppose 24*c = 26*c - 54. Suppose -32*l = -c*l - 25. Find r such that -4*r**2 - 6*r - 6 + 2*r**2 + l*r**2 - 3 = 0.
-1, 3
Find i, given that -42/11*i - 2/11*i**2 - 108/11 = 0.
-18, -3
Factor 85*d**2 + 171066*d**4 - 171070*d**4 + 35*d**2 - 4*d**3.
-4*d**2*(d - 5)*(d + 6)
Let m be 9 - 1204/77 - -7. Factor 2/11*i**4 - m*i**2 + 2/11*i**3 + 0 + 0*i.
2*i**2*(i - 1)*(i + 2)/11
Let c(z) be the first derivative of -2*z**3/3 - 3966*z**2 - 7864578*z - 9429. Factor c(y).
-2*(