/8
Factor 2*a**3/3 + 236*a**2/3 - 238*a/3.
2*a*(a - 1)*(a + 119)/3
Factor l**3/3 - l**2/3 - 16*l/3 + 16/3.
(l - 4)*(l - 1)*(l + 4)/3
Determine x so that -2*x**5/7 - 304*x**4/7 - 1692*x**3 - 21600*x**2/7 + 33750*x/7 = 0.
-75, -3, 0, 1
Factor 92708*z**3 - 53760*z**2 + 8016*z - 64.
4*(7*z - 2)**2*(473*z - 4)
Find q such that 9*q**5/5 + 102*q**4/5 + 351*q**3/5 + 366*q**2/5 - 108*q/5 - 216/5 = 0.
-6, -3, -2, -1, 2/3
Determine t so that -36*t**4 - 258*t**3 + 842*t**2 + 2852*t + 848 = 0.
-53/6, -2, -1/3, 4
Suppose -5*r**5 - 55*r**4 + 210*r**3 + 1030*r**2 - 205*r - 975 = 0. Calculate r.
-13, -3, -1, 1, 5
Let -3*d**5/8 - 19*d**4/8 - 5*d**3 - 3*d**2 + 2*d + 2 = 0. What is d?
-2, -1, 2/3
Suppose g**5 + 8*g**4 + 13*g**3 - 22*g**2 - 32*g + 32 = 0. Calculate g.
-4, -2, 1
Let -h**3/6 + 23*h**2/6 - 71*h/6 - 95/6 = 0. What is h?
-1, 5, 19
Suppose -4*z**5/5 + 12*z**3/5 + 8*z**2/5 = 0. What is z?
-1, 0, 2
Let 2*l**3 + 440*l**2 - 3616*l + 7296 = 0. What is l?
-228, 4
Solve -p**4 - 114*p**3 + 348*p**2 - 350*p + 117 = 0.
-117, 1
Factor 3*x**3 + 711*x**2 + 41769*x - 42483.
3*(x - 1)*(x + 119)**2
Factor 4*z**3 + 12*z**2 - 36*z + 20.
4*(z - 1)**2*(z + 5)
Solve 5*p**5 - 90*p**4 + 235*p**3 - 150*p**2 = 0 for p.
0, 1, 2, 15
Solve 2*f**5/17 + 4*f**4/17 - 4*f**3/17 - 8*f**2/17 + 2*f/17 + 4/17 = 0.
-2, -1, 1
Solve 2*s**5 + 4*s**4 - 462*s**3 - 2344*s**2 + 7720*s + 9600 = 0 for s.
-10, -1, 3, 16
Solve -2*x**5 + 14*x**4 - 28*x**3 + 16*x**2 = 0 for x.
0, 1, 2, 4
Determine f so that 45*f**4 + 845*f**3 + 3410*f**2 - 5300*f + 1000 = 0.
-10, 2/9, 1
Determine m, given that 5*m**2/4 + 40*m + 320 = 0.
-16
Factor -i**3 - 3*i**2 + i + 3.
-(i - 1)*(i + 1)*(i + 3)
Determine i, given that -10*i**4/9 - 4906*i**3/9 - 598276*i**2/9 + 281752*i/3 - 26896 = 0.
-246, 2/5, 1
Factor -l**2/5 + 29*l/5 + 6.
-(l - 30)*(l + 1)/5
Factor y**2/5 - 574*y/5 - 1731/5.
(y - 577)*(y + 3)/5
Factor 2*w**3/17 - 12*w**2/17 + 16*w/17.
2*w*(w - 4)*(w - 2)/17
Factor 4*r**4 - 44*r**3 + 8*r**2 + 368*r - 480.
4*(r - 10)*(r - 2)**2*(r + 3)
Determine l, given that -l**4 - 41*l**3/5 + 37*l**2/5 + 9*l/5 = 0.
-9, -1/5, 0, 1
Factor -2*z**2 + 102*z - 100.
-2*(z - 50)*(z - 1)
Factor -147*t**3/2 - 121359*t**2/2 - 34656*t - 4950.
-3*(t + 825)*(7*t + 2)**2/2
Solve -9*s**5 - 632*s**4 - 1976*s**3 - 2226*s**2 - 1007*s - 134 = 0 for s.
-67, -1, -2/9
Find g, given that 4*g**2 - 136*g + 1092 = 0.
13, 21
Factor -3*i**4/5 - 153*i**3 - 2268*i**2/5.
-3*i**2*(i + 3)*(i + 252)/5
Factor 5*a**3 - 75*a**2 + 190*a - 120.
5*(a - 12)*(a - 2)*(a - 1)
Factor -4*d**2/7 - 10048*d - 44171008.
-4*(d + 8792)**2/7
What is i in 3*i**5 - 60*i**4 - 432*i**3 - 912*i**2 - 624*i = 0?
-2, 0, 26
Suppose -4*k**5/5 - 72*k**4/5 - 272*k**3/5 - 136*k**2/5 + 276*k/5 + 208/5 = 0. Calculate k.
-13, -4, -1, 1
Suppose 3*s**4 - 1767*s**3 + 5283*s**2 - 5277*s + 1758 = 0. Calculate s.
1, 586
Let 245*l**5 + 2345*l**4 - 3865*l**3 - 65*l**2 + 1120*l + 220 = 0. Calculate l.
-11, -2/7, 1
Suppose -3*n**2 + 48*n = 0. Calculate n.
0, 16
Solve -3*c**2/4 - 549*c/4 - 543/2 = 0 for c.
-181, -2
Let 5*l**3/3 - 95*l**2/3 = 0. What is l?
0, 19
Determine q so that 4*q**2 + 13408*q + 11235904 = 0.
-1676
Factor 14*b**4 - 534*b**3 + 5130*b**2 - 722*b.
2*b*(b - 19)**2*(7*b - 1)
Let -k**4/4 + 9*k**3/4 - 6*k**2 + 4*k = 0. Calculate k.
0, 1, 4
Solve q**4 + 24*q**3 + 214*q**2 + 840*q + 1225 = 0 for q.
-7, -5
Factor -2*r**2 + 18*r.
-2*r*(r - 9)
Suppose 6*m**2 + 4*m/3 = 0. What is m?
-2/9, 0
Factor -2*a**4 - 52*a**3 - 142*a**2 - 92*a.
-2*a*(a + 1)*(a + 2)*(a + 23)
Determine s so that -s**3 + 28*s**2 + 59*s + 30 = 0.
-1, 30
Factor 5*c**4 - 190*c**3 + 535*c**2 - 350*c.
5*c*(c - 35)*(c - 2)*(c - 1)
Factor o**3 - 102*o**2 + 3468*o - 39304.
(o - 34)**3
Factor 2*j**2/3 - 26*j/3 - 280/3.
2*(j - 20)*(j + 7)/3
Determine u, given that 4*u**2/9 + 8*u - 160/9 = 0.
-20, 2
Suppose 2*n**3 + 10*n**2/3 - 8*n = 0. Calculate n.
-3, 0, 4/3
What is z in -4*z**2 - 7300*z = 0?
-1825, 0
Find h, given that 3*h**3 + 60*h**2 + 237*h + 180 = 0.
-15, -4, -1
Determine k so that 4*k**5 - 20*k**4 - 12*k**3 + 68*k**2 - 40*k = 0.
-2, 0, 1, 5
Factor -o**2/2 + 23*o/2 + 12.
-(o - 24)*(o + 1)/2
Suppose -g**3/5 - 86*g**2/5 - 1529*g/5 - 7744/5 = 0. What is g?
-64, -11
Find h, given that h**5/4 - 5*h**4/2 - 3*h**3/4 + 7*h**2 + 5*h = 0.
-1, 0, 2, 10
Let 2*r**2/11 - 8*r/11 = 0. What is r?
0, 4
Factor 2*h**2/11 + 2*h/11 - 12/11.
2*(h - 2)*(h + 3)/11
Factor 363*y**5 + 87252*y**4 + 7001292*y**3 + 188393280*y**2 + 67814400*y + 6144000.
3*(y + 80)**3*(11*y + 2)**2
Factor -2*n**2/5 - 16*n/5 + 72.
-2*(n - 10)*(n + 18)/5
Determine k, given that 206*k**5 - 1240*k**4 + 1054*k**3 + 2452*k**2 - 48*k = 0.
-1, 0, 2/103, 3, 4
Factor -2*z**3/3 + 16*z**2/3 + 2*z/3 - 16/3.
-2*(z - 8)*(z - 1)*(z + 1)/3
Determine c so that 15*c**2 - 190*c - 65 = 0.
-1/3, 13
Determine y so that 4*y**3 + 1176*y**2 - 2380*y - 3552 = 0.
-296, -1, 3
Factor i**2 + 12446*i + 38725729.
(i + 6223)**2
Suppose -p**2 - 108*p + 109 = 0. What is p?
-109, 1
Let -q**2/2 + 11*q/2 + 6 = 0. Calculate q.
-1, 12
Factor 5*b**2 - 30*b.
5*b*(b - 6)
Solve u**2/3 + 295*u/3 - 296/3 = 0.
-296, 1
Factor -s**3/3 + s**2 + 4*s/3.
-s*(s - 4)*(s + 1)/3
Determine l, given that -16*l**2/7 - 744*l/7 - 8649/7 = 0.
-93/4
Factor -2*s**4/13 - 164*s**3/13 - 3362*s**2/13.
-2*s**2*(s + 41)**2/13
Factor 2*b**2/5 + 76*b/5.
2*b*(b + 38)/5
Factor g**3/3 - 32*g**2/3 + 60*g + 432.
(g - 18)**2*(g + 4)/3
Factor -5*t**2 - 550*t - 545.
-5*(t + 1)*(t + 109)
Factor 3*c**2/4 + 597*c/2 + 118803/4.
3*(c + 199)**2/4
Determine q so that 5*q**3 - 45*q**2 - 125*q + 165 = 0.
-3, 1, 11
Solve -5*i**5 - 110*i**4 + 780*i**3 + 2410*i**2 - 11975*i - 13500 = 0.
-27, -4, -1, 5
Factor -5*k**2 + 790*k - 31205.
-5*(k - 79)**2
Find a, given that -3*a**2 - 5844*a - 2846028 = 0.
-974
Solve -5*c**5 + 15*c**4 = 0.
0, 3
Factor 7*u**4/5 + 9*u**3/5 - 82*u**2/5 - 24*u/5.
u*(u - 3)*(u + 4)*(7*u + 2)/5
Factor 3*q**2 - 15*q - 108.
3*(q - 9)*(q + 4)
Solve 5*b**4/6 + 10*b**3/3 - 5*b**2/3 - 10*b + 15/2 = 0.
-3, 1
Factor 2*q**3 - 34*q**2 + 54*q + 90.
2*(q - 15)*(q - 3)*(q + 1)
Find l, given that l**4/4 - 3*l**3/2 + l**2 + 3*l/2 - 5/4 = 0.
-1, 1, 5
Factor -2*i**2/21 + 10*i/21 - 4/7.
-2*(i - 3)*(i - 2)/21
Suppose -21*w**3/5 + 103*w**2/5 - 74*w/5 - 8/5 = 0. Calculate w.
-2/21, 1, 4
Find p, given that -2*p**5/9 + 988*p**4/9 - 122018*p**3/9 = 0.
0, 247
Find o such that 125*o**5/6 - 925*o**4/3 - 4390*o**3 - 14876*o**2/3 - 5824*o/3 - 256 = 0.
-8, -2/5, 24
Factor n**3 - 28*n**2/3 - 7*n + 10/3.
(n - 10)*(n + 1)*(3*n - 1)/3
Factor i**3/4 - 5*i**2/2 - 13*i - 14.
(i - 14)*(i + 2)**2/4
What is v in 21*v**5 + 36*v**4 - 12*v**3 = 0?
-2, 0, 2/7
Factor -2*i**3/11 - 2934*i**2/11 + 534*i - 2938/11.
-2*(i - 1)**2*(i + 1469)/11
Factor k**3/2 - 479*k**2 + 1910*k - 1908.
(k - 954)*(k - 2)**2/2
Let r**2 - 39*r - 82 = 0. Calculate r.
-2, 41
Factor -i**4 - 2*i**3 + 8*i**2.
-i**2*(i - 2)*(i + 4)
Factor -j**2/6 - 76*j/3 - 2888/3.
-(j + 76)**2/6
Factor k**2 + 890*k + 198025.
(k + 445)**2
Factor -2*k**2/9 - 56*k/9.
-2*k*(k + 28)/9
Find g such that 4*g**2 + 12*g + 8 = 0.
-2, -1
Factor -x**5/2 - 23*x**4/2 - 84*x**3 - 160*x**2 + 256*x.
-x*(x - 1)*(x + 8)**3/2
Solve -2*y**3/3 - 2*y**2/3 = 0.
-1, 0
Factor -3*h**4 - 3*h**3 + 3*h**2 + 3*h.
-3*h*(h - 1)*(h + 1)**2
Suppose 2*p**3/5 - 46*p**2/5 + 86*p/5 - 42/5 = 0. What is p?
1, 21
Factor 3*d**2/4 - 6*d - 99/4.
3*(d - 11)*(d + 3)/4
Factor j**5/9 - 10*j**4/9 + 10*j**3/3 - 40*j**2/9 + 25*j/9 - 2/3.
(j - 6)*(j - 1)**4/9
Factor -4*w**3/3 + 16*w**2/3 + 16*w.
-4*w*(w - 6)*(w + 2)/3
Suppose -4*u**5 + 120*u**4 + 260*u**3 - 120*u**2 - 256*u = 0. What is u?
-2, -1, 0, 1, 32
Factor d**3/5 - 31*d**2/5 + 112*d/5 - 108/5.
(d - 27)*(d - 2)**2/5
Determine f so that 8*f**5 + 326*f**4 - 2266*f**3 + 3930*f**2 - 846*f = 0.
-47, 0, 1/4, 3
Determine p, given that -p**3/8 + 5*p**2/8 + 13*p/8 + 7/8 = 0.
-1, 7
Solve 2*p**3 - 18*p**2 - 42*p + 490 = 0 for p.
-5, 7
Factor t**4/2 - 9*t**3/2 + 9*t**2.
t**2*(t - 6)*(t - 3)/2
Find s, given that 3*s**2 - 186*s - 5865 = 0.
-23, 85
Factor 3*z**2 + 8358*z + 5821347.
3*(z + 1393)**2
What is v in v**5/2 + 7*v**4 + 35*v**3 + 76*v**2 + 145*v/2 + 25 = 0?
-5, -2, -1
Factor 3*q**3/5 - 27*q**2/5 + 12*q - 36/5.
3*(q - 6)*(q - 2)*(q - 1)/5
Factor z**4/3 - 53*z**3/3 - 406*z**2 - 4460*z/3 + 14200/3.
(z - 71)*(z - 2)*(z + 10)**2/3
Factor 3*g**2 + 78*g + 