128152*s**2/3 - 86880*s - 131044/3.
-4*(s - 181)**2*(s + 1)**2/3
Find t, given that -t**4/3 - 86*t**3/3 - 2284*t**2/3 - 6142*t - 12321 = 0.
-37, -9, -3
Solve t**5 - 89*t**4/5 + 387*t**3/5 + 81*t**2/5 = 0 for t.
-1/5, 0, 9
Let 2*y**4/3 + 4*y**3 - 14*y**2/3 - 24*y + 24 = 0. Calculate y.
-6, -3, 1, 2
Factor 4*a**4 + 600*a**3 + 30000*a**2 + 500000*a.
4*a*(a + 50)**3
Factor -j**4/5 - 3*j**3/5.
-j**3*(j + 3)/5
Solve 5*d**3/6 + 170*d**2/3 = 0.
-68, 0
Let -5*f**5 - 25*f**4 + 25*f**3 + 125*f**2 - 200*f + 80 = 0. What is f?
-4, 1
Find f such that f**5/2 - 25*f**4/2 + 69*f**3/2 - 67*f**2/2 + 11*f = 0.
0, 1, 22
Factor -8*l**3 + 124*l**2 - 172*l + 56.
-4*(l - 14)*(l - 1)*(2*l - 1)
Solve -k**3/3 + 45*k**2 - 1496*k - 4624/3 = 0.
-1, 68
Solve 3*h**3 - 882*h**2 = 0.
0, 294
Factor -3*z**2/5 - 147*z/5 + 306/5.
-3*(z - 2)*(z + 51)/5
Find t such that t**2 - 569*t + 1698 = 0.
3, 566
Factor 2*h**4/15 + 4*h**3/3 + 24*h**2/5 + 36*h/5 + 18/5.
2*(h + 1)*(h + 3)**3/15
Solve -h**4 - 5*h**3 - 3*h**2 + 9*h = 0.
-3, 0, 1
Factor -3*l**3 + 624*l**2 + 627*l.
-3*l*(l - 209)*(l + 1)
Factor -3*w**2/4 + 357*w/2 - 711/4.
-3*(w - 237)*(w - 1)/4
Factor b**2 - 76*b + 1444.
(b - 38)**2
Determine c so that -2*c**4 + 16*c**3 - 42*c**2 + 36*c = 0.
0, 2, 3
Let -4*b**5 - 686*b**4 - 6793*b**3/4 - 5587*b**2/4 - 1691*b/4 - 169/4 = 0. What is b?
-169, -1, -1/4
Factor -2*f**2/5 - 272*f/5 - 9248/5.
-2*(f + 68)**2/5
Factor -m**3 + 65*m**2/9 - 154*m/9 + 40/3.
-(m - 3)*(m - 2)*(9*m - 20)/9
Factor 5*f**5 + 30*f**4 - 50*f**3 - 80*f**2 + 165*f - 70.
5*(f - 1)**3*(f + 2)*(f + 7)
Let j**5/5 - 8*j**4/5 + 6*j**3/5 + 8*j**2/5 - 7*j/5 = 0. Calculate j.
-1, 0, 1, 7
Factor -3*g**4 - 9*g**3 + 12*g**2 + 36*g.
-3*g*(g - 2)*(g + 2)*(g + 3)
Find q such that -3*q**2 - 99*q - 186 = 0.
-31, -2
Determine b so that -b**4 + 35*b**3 + 3*b**2 - 103*b - 70 = 0.
-1, 2, 35
Solve p**4/2 + 3*p**3/2 - 8*p**2 + 6*p = 0.
-6, 0, 1, 2
Solve -3*l**4 + 9*l**3 + 84*l**2 = 0 for l.
-4, 0, 7
Factor n**4/2 + 57*n**3/2 - 153*n**2 + 124*n.
n*(n - 4)*(n - 1)*(n + 62)/2
Factor p**2/6 + 7*p/3 - 5/2.
(p - 1)*(p + 15)/6
Factor k**2/8 - 597*k/8 + 595/4.
(k - 595)*(k - 2)/8
Factor -h**4/4 - 3*h**3 - 11*h**2/4.
-h**2*(h + 1)*(h + 11)/4
Factor -n**2 + 18*n - 45.
-(n - 15)*(n - 3)
Determine y, given that -3*y**2/5 + 3*y + 72/5 = 0.
-3, 8
Suppose -8*b**2/9 - 178*b/9 - 44/9 = 0. Calculate b.
-22, -1/4
Solve 2*s**5 + 56*s**4 + 480*s**3 + 800*s**2 - 4000*s = 0.
-10, 0, 2
Factor -2*q**4/7 - 4*q**3/7 + 6*q**2/7 + 8*q/7 - 8/7.
-2*(q - 1)**2*(q + 2)**2/7
Determine d, given that 10*d**5 - 75*d**4 - 3235*d**3 - 7535*d**2 - 1395*d + 2990 = 0.
-13, -2, -1, 1/2, 23
What is z in 4*z**3 - 16*z**2 + 16*z = 0?
0, 2
Solve 2*s**3 - 12*s**2 = 0.
0, 6
Factor -2*h**4 - 12*h**3 - 16*h**2.
-2*h**2*(h + 2)*(h + 4)
Solve c**2/11 - 1126*c/11 + 316969/11 = 0.
563
What is v in 4*v**4/19 - 46*v**3/19 + 60*v**2/19 + 434*v/19 + 196/19 = 0?
-2, -1/2, 7
Factor -2*y**3 - 15826*y**2 - 31299870*y + 31315698.
-2*(y - 1)*(y + 3957)**2
Determine r so that -31*r**2 + 218*r - 7 = 0.
1/31, 7
Find k, given that 2*k**2 - 48*k + 126 = 0.
3, 21
Factor -2*g**3/5 - 88*g**2/15 - 56*g/15.
-2*g*(g + 14)*(3*g + 2)/15
Determine x, given that -x**5 - 44*x**4 - 526*x**3 - 924*x**2 - 441*x = 0.
-21, -1, 0
Suppose -3*x**3 - 127*x**2 - 165*x - 41 = 0. What is x?
-41, -1, -1/3
Find s, given that -s**2/10 + 39*s/10 + 126 = 0.
-21, 60
Factor -d**2/4 - 37*d/4 - 35/2.
-(d + 2)*(d + 35)/4
Let -o**3/8 + 27*o**2/4 - 108*o + 432 = 0. What is o?
6, 24
Factor -2*r**4/17 + 14*r**3/17 + 24*r**2/17 - 352*r/17 + 640/17.
-2*(r - 4)**3*(r + 5)/17
Factor -112*m**5 - 4*m**4 + 8*m**3.
-4*m**3*(4*m - 1)*(7*m + 2)
Factor u**3/3 - 24*u**2 + 23*u + 142/3.
(u - 71)*(u - 2)*(u + 1)/3
Factor -6*w**2/17 - 8*w/17 + 30/17.
-2*(w + 3)*(3*w - 5)/17
Factor 2*j**3/9 + 3298*j**2/9 + 1361248*j/9 + 1357952/9.
2*(j + 1)*(j + 824)**2/9
Determine c so that c**3/10 - c**2 - 37*c/10 - 13/5 = 0.
-2, -1, 13
Factor -4*p**3 + 108*p**2 - 780*p + 676.
-4*(p - 13)**2*(p - 1)
Determine x, given that 3*x**4/2 + 3*x**3/2 - 9*x**2 = 0.
-3, 0, 2
Suppose -p**2/4 + p/4 + 3 = 0. Calculate p.
-3, 4
Factor -2*m**2/19 - 664*m/19 - 55112/19.
-2*(m + 166)**2/19
Determine p so that -5*p**2 - 390*p + 395 = 0.
-79, 1
Let 15*v**2/4 - 531*v/4 + 105/2 = 0. Calculate v.
2/5, 35
Factor -v**3/4 + 5*v**2/2 + 9*v/4 - 45/2.
-(v - 10)*(v - 3)*(v + 3)/4
Find m such that -4*m**2/3 + 1256*m/3 - 98596/3 = 0.
157
Factor 8*c**3 - 426*c**2 + 1306*c - 300.
2*(c - 50)*(c - 3)*(4*c - 1)
Find d, given that d**4 - 3*d**3 - d**2 + 3*d = 0.
-1, 0, 1, 3
Factor -4*s**3 + 72*s**2 + 160*s.
-4*s*(s - 20)*(s + 2)
Suppose q**4/5 + 63*q**3/5 - 13*q**2 - 63*q/5 + 64/5 = 0. Calculate q.
-64, -1, 1
Factor -3*o**5/4 - 3*o**4/2 + 3*o**2/2 + 3*o/4.
-3*o*(o - 1)*(o + 1)**3/4
Suppose 2*i**5/3 - 14*i**4/3 + 4*i**3 + 44*i**2/3 - 14*i/3 - 10 = 0. Calculate i.
-1, 1, 3, 5
Determine o so that o**2/2 + 2003*o + 4012009/2 = 0.
-2003
Factor 4*z**4 - 88*z**3 + 532*z**2 + 192*z - 6912.
4*(z - 9)*(z - 8)**2*(z + 3)
What is f in f**5/3 - 8*f**4/3 + 8*f**3 - 32*f**2/3 + 16*f/3 = 0?
0, 2
Find u, given that -7*u**5 + 38*u**4 - 64*u**3 + 42*u**2 - 9*u = 0.
0, 3/7, 1, 3
Factor -2*h**2/5 + 314*h/5 + 636/5.
-2*(h - 159)*(h + 2)/5
Determine p, given that -2*p**3/7 - 4*p**2/7 - 2*p/7 = 0.
-1, 0
Factor n**3 + 2*n**2 - 29*n + 42.
(n - 3)*(n - 2)*(n + 7)
Let -5*t**5 - 20*t**4 + 275*t**3 + 890*t**2 - 3900*t - 9000 = 0. Calculate t.
-6, -2, 5
Find a such that -a**3 + 10*a**2 - 16*a = 0.
0, 2, 8
Let -4*h**3/3 - 232*h**2/3 = 0. What is h?
-58, 0
Factor s**3 + 27*s**2 + 47*s - 75.
(s - 1)*(s + 3)*(s + 25)
Suppose -45*y**3 + 25413*y**2 + 15282*y - 10176 = 0. Calculate y.
-1, 2/5, 1696/3
Determine b so that -18*b**2 + 87*b + 273 = 0.
-13/6, 7
Factor -2*n**5 + 4*n**4 + 16*n**3 + 4*n**2 - 14*n - 8.
-2*(n - 4)*(n - 1)*(n + 1)**3
Solve -8*z**4 + 404*z**3 - 4788*z**2 - 7904*z - 2704 = 0.
-1, -1/2, 26
Suppose 29*x**3 + 30*x**2 + x = 0. Calculate x.
-1, -1/29, 0
Let -2*u**5/9 - 172*u**4/9 - 4868*u**3/9 - 43384*u**2/9 + 58870*u/9 + 97556/9 = 0. What is u?
-29, -1, 2
Determine i, given that -2*i**2/9 - 22*i/9 - 4 = 0.
-9, -2
Solve -14*k**5 + 24*k**4 + 134*k**3 - 216*k**2 - 72*k = 0.
-3, -2/7, 0, 2, 3
Solve z**2/2 + 27*z + 693/2 = 0 for z.
-33, -21
What is u in -2*u**2 - 28*u + 30 = 0?
-15, 1
Factor 3*l**5 - 78*l**4 + 207*l**3.
3*l**3*(l - 23)*(l - 3)
Find i, given that -2*i**5/3 + 42*i**4 - 436*i**3 + 4388*i**2/3 - 1782*i + 714 = 0.
1, 3, 7, 51
Let 88*c**4 - 2*c**3 - 264*c**2 + 182*c - 4 = 0. What is c?
-2, 1/44, 1
Factor 2*c**3 - 154*c**2/5 + 12*c.
2*c*(c - 15)*(5*c - 2)/5
Factor 3*t**2 + 168*t + 2352.
3*(t + 28)**2
Factor t**3/6 - 13*t**2/3 + 145*t/6 - 38.
(t - 19)*(t - 4)*(t - 3)/6
Determine b, given that 2*b**3/11 - 54*b**2/11 - 116*b/11 = 0.
-2, 0, 29
Factor 4*k**5 + 16*k**4 - 104*k**3 + 176*k**2 - 124*k + 32.
4*(k - 1)**4*(k + 8)
Factor -3*a**5/8 - 3*a**4/8 + 3*a**3 + 9*a**2/2.
-3*a**2*(a - 3)*(a + 2)**2/8
Let o**2/4 - 607*o + 368449 = 0. Calculate o.
1214
Find k, given that -5*k**4 - 130*k**3 - 915*k**2 - 1350*k = 0.
-15, -9, -2, 0
Factor -c**2/3 - 139*c/3 + 140/3.
-(c - 1)*(c + 140)/3
Solve -2*n**5/5 - 4*n**4/5 + 4*n**2/5 + 2*n/5 = 0 for n.
-1, 0, 1
Suppose -2*g**2/5 + 16*g/5 + 378 = 0. Calculate g.
-27, 35
Factor 6*p**3 - 15*p**2 + 6*p.
3*p*(p - 2)*(2*p - 1)
Let 3*w**5/4 + 3*w**4 + 3*w**3/4 - 21*w**2/2 - 15*w - 6 = 0. Calculate w.
-2, -1, 2
Factor -7*q**2/5 - 39*q - 782/5.
-(q + 23)*(7*q + 34)/5
Factor -3*i**5/4 - 3*i**4 + 21*i**3 - 24*i**2.
-3*i**2*(i - 2)**2*(i + 8)/4
Let -25*w**2/4 - 99*w/4 + 1 = 0. Calculate w.
-4, 1/25
Let 2*g**2/7 - 12*g + 126 = 0. Calculate g.
21
Solve i**5/6 + 85*i**4/6 + 83*i**3/3 - i**2/3 - 167*i/6 - 83/6 = 0 for i.
-83, -1, 1
Factor 2*t**4 + 24*t**3 + 40*t**2.
2*t**2*(t + 2)*(t + 10)
Find f such that 2*f**3/7 + 22*f**2 - 156*f/7 = 0.
-78, 0, 1
Factor -n**3/7 - 338*n**2/7 - 28561*n/7.
-n*(n + 169)**2/7
Factor t**5 + t**4 - 3*t**3 - 5*t**2 - 2*t.
t*(t - 2)*(t + 1)**3
Find b such that b**5/8 + 17*b**4/8 + 63*b**3/8 - 81*b**2/8 = 0.
-9, 0, 1
Factor -2*y**3 + 4*y**2 + 10*y - 12.
-2*(y - 3)*(y - 1)*(y + 2)
Suppose -2*l**5 + 12*l**4 + 2*l**3 - 108*l**2 + 144*l = 0. Calculate l.
-3, 0, 2, 3, 4
Factor -3*u**2 + 90*u - 375.
-3*(u - 25)*(u - 5)
Factor x**2/10 - 113*x/5 - 423/2.
(x - 235)*(x + 9)/10
Factor -k**3/2 - 341*k