**3/24 - 15123*b**2/8 - 857*b - 1. Suppose i(c) = 0. Calculate c.
3, 71
Let a(g) = g**3. Let w(d) be the first derivative of -d**5 + 49*d**4/4 - 98*d**3/3 - 114*d**2 - 72*d - 52. Let i(s) = 4*a(s) + w(s). Factor i(v).
-(v - 6)**2*(v + 1)*(5*v + 2)
Factor 334/5*m + 0 + 2/5*m**3 + 336/5*m**2.
2*m*(m + 1)*(m + 167)/5
Determine n, given that 14*n**2 + 512/7 - 32/7*n**4 + 832/7*n - 253/7*n**3 - 1/7*n**5 = 0.
-16, -1, 2
Factor -2/11*d**4 + 96/11*d + 2*d**3 - 80/11*d**2 + 0.
-2*d*(d - 4)**2*(d - 3)/11
Suppose 8*x - 128 - 8 = 0. Determine k so that x - 75*k**2 + 36*k**2 + 18*k + 40*k**2 = 0.
-17, -1
Solve 2308*j - 14/9*j**2 + 5936/9 = 0.
-2/7, 1484
Let p(v) be the third derivative of v**6/48 + 1013*v**5/12 + 5130845*v**4/48 + 9698*v**2. Factor p(o).
5*o*(o + 1013)**2/2
Let n(m) be the first derivative of -16/5*m**2 - 50 - 1/2*m**4 + 32/15*m**3 + 0*m + 1/25*m**5. Factor n(i).
i*(i - 4)**2*(i - 2)/5
Let g be 70/825 - (171/(-33) - -5). Let s be (-13)/((-260)/32)*(-8)/(-96). Factor g*j**2 + 2/15*j - s*j**3 - 4/15.
-2*(j - 2)*(j - 1)*(j + 1)/15
Let x(l) be the second derivative of -l**7/147 - 47*l**6/35 - 2421*l**5/35 + 11457*l**4/7 + 1120905*l**3/7 - 41668425*l**2/7 + 5432*l. Factor x(j).
-2*(j - 15)**2*(j + 57)**3/7
Let h(i) be the second derivative of 5*i**7/126 + 28*i**6/9 + 107*i**5/12 - 70*i**4/9 - 30*i**3 + 2456*i. Find r, given that h(r) = 0.
-54, -2, -1, 0, 1
Let w be (-1064)/(-399)*(15/6 + -1). Let i(g) be the second derivative of -1/45*g**5 - 1/54*g**w - 1/135*g**6 + 0*g**2 + 0 + 0*g**3 + 4*g. Factor i(f).
-2*f**2*(f + 1)**2/9
Let m(t) be the second derivative of t**6/40 - 37*t**5/20 - 215*t**2/2 + 59*t. Let b(a) be the first derivative of m(a). Factor b(o).
3*o**2*(o - 37)
Let z be (-18)/(-27)*(-2 - 26/(-4)). Suppose z*o - 3 = p + 2*o, 5*p - 2*o = 0. Factor -3*d**3 + 0*d**2 + 10*d**2 + 6*d - 7*d**p.
-3*d*(d - 2)*(d + 1)
Let i(a) be the first derivative of a**6/70 + 3*a**5/140 - 5*a**4/28 + 3*a**3/14 + 48*a - 90. Let f(x) be the first derivative of i(x). Factor f(u).
3*u*(u - 1)**2*(u + 3)/7
Let a(v) = 20*v**2 - 81 - 60 + 88*v + 39. Let k(m) = -m**2 - 2*m + 1. Let y(l) = -2*a(l) - 44*k(l). Factor y(z).
4*(z - 20)*(z - 2)
Suppose 4*u = 3*c - c + 90, 4*u + c = 99. Suppose -22*f + 20 = -u. Suppose 0 - 3/8*d - 7/8*d**f = 0. Calculate d.
-3/7, 0
Let m(a) be the second derivative of 0*a**2 - 1/75*a**6 - 156 + 0*a**3 + 1/25*a**5 - 1/30*a**4 - a. Suppose m(c) = 0. Calculate c.
0, 1
Suppose 298464750 - 1170450*l - 2/3*l**3 + 1530*l**2 = 0. What is l?
765
Suppose -1/2*x**2 + 1/2*x + 1/6*x**3 - 1/6 = 0. Calculate x.
1
Let d(y) be the third derivative of y**5/25 + 49*y**4/30 + 8*y**3 + y**2 - 81*y. Factor d(v).
4*(v + 15)*(3*v + 4)/5
Let t(x) be the third derivative of 1/80*x**5 + 2*x**2 + 0 - 32*x - 1/280*x**7 + 0*x**4 + 0*x**3 + 0*x**6. Factor t(j).
-3*j**2*(j - 1)*(j + 1)/4
Let t(v) = 18*v**3 - 57*v**2 - 231*v + 6. Let q(a) = 11*a**3 - 58*a**2 - 229*a + 4. Let l(b) = 3*q(b) - 2*t(b). Factor l(h).
-3*h*(h + 5)*(h + 15)
Let p(c) be the third derivative of -c**6/60 + 13*c**5/6 - 16*c**4/3 + 2*c**2 + 21. Factor p(h).
-2*h*(h - 64)*(h - 1)
Let 159*u - 107*u + 89*u + 50*u + 190 + u**2 = 0. Calculate u.
-190, -1
Suppose -m - 61 = -5*i, -2*i + 3*m + 23 = 4*m. Factor -80*d**3 - 9 + 25*d**4 - 40*d - 14*d**2 + i + 2 + 104*d**2.
5*(d - 1)**3*(5*d - 1)
Let j(n) = -135*n**2 - 17949*n + 10053167. Let o(t) = -31*t**2 - 4487*t + 2513291. Let z(x) = -6*j(x) + 26*o(x). Factor z(d).
4*(d - 1121)**2
Let l be ((-204)/(-1224)*2/(-1))/((-5)/6). What is z in 12/5 - 6/5*z**3 + 6/5*z**2 + 22/5*z - l*z**4 = 0?
-3, -1, 2
Let f(q) = -7*q**2 + 2*q - 5. Let v = 22 + -17. Let w(b) = 0*b - 9 - 4 - b + 6*b**2 + 17 + b**2. Let c(o) = v*w(o) + 4*f(o). Find j, given that c(j) = 0.
-3/7, 0
Factor -13*s**4 + 22*s**4 + 21*s**3 - 12*s**4 + 19*s**2 - 3*s**3 + 24*s + 26*s**2.
-3*s*(s - 8)*(s + 1)**2
Solve 64*m**3 - 31*m**3 - 96 - 35*m**3 - 118*m**2 + 121*m + 76*m**2 + 19*m = 0.
-24, 1, 2
Let v(i) = -8*i**3 - i**2 + 5*i + 2. Let h = 38 - 33. Let l(j) = 2*j**2 + 9 - 56*j**3 + 21*j + 23*j**3 - h*j**2. Let z(b) = -2*l(b) + 9*v(b). Factor z(y).
-3*y*(y + 1)*(2*y - 1)
Suppose a - 10*n = -12*n, n = -a. Let s(v) be the second derivative of a - 1/108*v**4 + 1/27*v**3 - 1/18*v**2 - 17*v. Solve s(o) = 0.
1
Let i(j) = 3*j**2 + 10*j - 20. Suppose -4*w = -5*g - 6 - 10, g = 0. Let y(l) = -7*l**2 - 20*l + 41. Let a(f) = w*y(f) + 9*i(f). Factor a(t).
-(t - 8)*(t - 2)
Solve 382 - 3*u**3 - 2580 - 70 - 27*u**2 + 648*u + 0*u**2 = 0.
-21, 6
Let b(m) = 3*m**3 + 110*m**2 + 51*m + 11. Let x(h) = 3*h**3 + 55*h**2 + 26*h + 6. Let r be (80/45)/(-8)*-27. Let y(i) = r*b(i) - 11*x(i). Factor y(j).
-5*j*(j - 4)*(3*j + 1)
Let n(b) = -4*b + 103. Let z be n(13). Suppose 2*r + z = 55. Suppose 4/5*d**3 - 36/5 + 4*d**r + 12/5*d = 0. What is d?
-3, 1
Let j be -3 - (-4 + -6) - 374/55. Let d(k) be the first derivative of -4 - 1/36*k**6 - 3/8*k**4 - j*k**5 + 0*k**2 + 0*k**3 + 0*k. Suppose d(t) = 0. Calculate t.
-3, 0
Let r(b) be the first derivative of 5*b**2 - 5/6*b**3 - 10*b + 118. Factor r(j).
-5*(j - 2)**2/2
Let o(c) = 14*c**2 - 658*c + 1432. Let r(v) = -10*v**2 + 671*v - 1431. Let g(m) = -3*o(m) - 4*r(m). Factor g(i).
-2*(i - 2)*(i + 357)
Let j = -307404 - -307408. Find c such that -3*c**j + 6*c**2 - 3 - 3/2*c**5 - 3/2*c + 3*c**3 = 0.
-2, -1, 1
Suppose -22*c = -21*c - 3. Factor -4*s + 775*s**3 - 772*s**c + s.
3*s*(s - 1)*(s + 1)
Let n(v) = -17*v**3 + 37*v**2 - 125*v - 345. Let b(h) = -19*h**3 + 39*h**2 - 124*h - 346. Let w(s) = -9*b(s) + 10*n(s). Factor w(k).
(k - 7)*(k + 2)*(k + 24)
Let j(w) be the first derivative of 2*w**6/15 - 9*w**5 - 17*w**4/3 + 47*w**2/2 - 4*w + 50. Let l(t) be the second derivative of j(t). Let l(p) = 0. Calculate p.
-1/4, 0, 34
Find p, given that -65*p**2 + 82 - 11 - 27*p**2 - 7*p**4 + 27 + p**4 + 296*p**3 - 296*p = 0.
-1, 1/3, 1, 49
Let c(i) = 3*i**2 + 15*i - 15. Let r = -52 + 61. Suppose 0 = -r*t + 3*t - 90. Let o(a) = -1. Let n(s) = t*o(s) + c(s). Find f, given that n(f) = 0.
-5, 0
Let y(j) be the first derivative of -26/9*j**3 + 0*j + 2*j**2 + 58 + 4/3*j**4 - 2/15*j**5. Factor y(c).
-2*c*(c - 6)*(c - 1)**2/3
Factor -d**3 - 19/2*d - 27/4*d**2 - 4 + 1/4*d**4.
(d - 8)*(d + 1)**2*(d + 2)/4
Let n(i) be the second derivative of -1/120*i**6 - 1/12*i**5 + 3/2*i**3 - 1/8*i**4 + 0 + 5*i - 9/2*i**2. Let q(r) be the first derivative of n(r). Factor q(u).
-(u - 1)*(u + 3)**2
Suppose -568*y**3 - 160*y + 564*y**3 + 168*y**2 - 160*y = 0. What is y?
0, 2, 40
Let j(m) be the first derivative of 5*m**3/12 + 4355*m**2/4 + 3793205*m/4 + 274. Factor j(q).
5*(q + 871)**2/4
Suppose -13 = -3*l - z, 0*l + 5*z = -l + 23. Factor -2*t + 95 - 4*t**2 + 4*t**4 - 95 + 2*t**l.
2*t*(t - 1)*(t + 1)*(2*t + 1)
Factor 309 - 2964*s + 5502*s - 2848*s + s**2.
(s - 309)*(s - 1)
Let t = 18112/91235 - -27/18247. Factor -t*b**3 - 19/5*b**2 - 21/5 + 41/5*b.
-(b - 1)**2*(b + 21)/5
Let k(a) be the first derivative of 289*a**5/20 + 291*a**4/16 - 287*a**3/12 - 291*a**2/8 - a/2 + 1153. Find m, given that k(m) = 0.
-1, -2/289, 1
Find f, given that 231*f**4 - 231*f**2 - 1501*f - 3*f**5 + 12*f**5 + 1351*f + 141*f**3 = 0.
-25, -1, -2/3, 0, 1
Let z(x) = 9*x**2 + 24*x - 24. Suppose -24 = 4*u + 4*o, 5*u - 2*o + 9 = 4*u. Let d(r) = 20*r**2 + 49*r - 48. Let n(v) = u*z(v) + 3*d(v). Factor n(b).
-3*(b - 1)*(b + 8)
Find p, given that 76*p + 2*p**2 + 30*p - 20 + 112*p - 200 = 0.
-110, 1
Let p = -1/118148 + 11814803/354444. Factor 52/3*w**3 + 44/3*w - p*w**2 + 4/3.
4*(w - 1)**2*(13*w + 1)/3
Factor 0 + 11616/7*o + 6/7*o**3 - 528/7*o**2.
6*o*(o - 44)**2/7
Let v(o) be the first derivative of o**5 - 245*o**4/4 + 2875*o**3/3 + 3125*o**2/2 - 5430. Factor v(g).
5*g*(g - 25)**2*(g + 1)
Let m(t) = 3*t**2 + 217. Let u(n) = n**2 + n - 1. Let f(v) = 3*m(v) - 12*u(v). Factor f(l).
-3*(l - 13)*(l + 17)
Factor -94*k + 56298*k**3 + 169*k - 22032*k**4 + 2187*k**5 - 2801*k**2 - 1279*k**2.
3*k*(k - 5)**2*(27*k - 1)**2
Let g(t) be the first derivative of 3*t**5/5 + 81*t**4/4 + 150*t**3 + 300*t**2 - 1039. Find o such that g(o) = 0.
-20, -5, -2, 0
Factor 15*o**2 + o**3 + 61*o + 17*o**2 - 577 + 399 - 10*o**2 - 230.
(o - 3)*(o + 8)*(o + 17)
Let q(l) be the second derivative of 49*l**5/10 - 1743*l**4 - 1996*l**3 - 856*l**2 + 3233*l. Factor q(k).
2*(k - 214)*(7*k + 2)**2
Let i(f) = 23*f**4