3 - 34*m**2/3 + 7*m - 5/3 = 0.
1, 5
Factor -2*r**5/3 - 2*r**4 + 56*r**3/3.
-2*r**3*(r - 4)*(r + 7)/3
Solve 2*t**3/9 - 92*t**2/9 + 86*t/9 + 20 = 0 for t.
-1, 2, 45
Let -2*s**2 + 224*s - 222 = 0. What is s?
1, 111
Factor -3*t**4 + 204*t**3 - 3024*t**2 - 47040*t + 1053696.
-3*(t - 28)**3*(t + 16)
Determine o, given that -2*o**5/3 - 8*o**4/3 + 20*o**2/3 + 2*o/3 - 4 = 0.
-3, -2, -1, 1
Factor -s**5/2 + 7*s**4/2 + 33*s**3 + 74*s**2 + 52*s.
-s*(s - 13)*(s + 2)**3/2
Let 32*d**5 + 1560*d**4 + 4102*d**3 + 4993*d**2/2 + 576*d + 46 = 0. Calculate d.
-46, -2, -1/4
Let 6*l**2/5 + 147*l/5 + 207/5 = 0. Calculate l.
-23, -3/2
Solve 2*g**5 - 22*g**4 - 118*g**3 - 42*g**2 + 180*g = 0 for g.
-3, -2, 0, 1, 15
Find m such that m**5/3 + m**4 - 2*m**3/3 - 4*m**2 - 8*m/3 = 0.
-2, -1, 0, 2
Let -9*y**5/5 + 56*y**4/5 + 3*y**3 - 186*y**2/5 + 148*y/5 - 24/5 = 0. What is y?
-2, 2/9, 1, 6
Factor i**3/5 - 18*i**2/5 + 108*i/5 - 216/5.
(i - 6)**3/5
Solve -3*y**4 + 39*y**3 - 150*y**2 + 168*y = 0 for y.
0, 2, 4, 7
What is f in -3*f**2/5 - 2106*f - 1848015 = 0?
-1755
Let j**5 - 11*j**4/4 - 7*j**3/4 + 11*j**2/4 + 3*j/4 = 0. Calculate j.
-1, -1/4, 0, 1, 3
Find i, given that 2*i**2/13 + 2*i/13 = 0.
-1, 0
Factor -5*w**5 + 50*w**4 - 195*w**3 + 370*w**2 - 340*w + 120.
-5*(w - 3)*(w - 2)**3*(w - 1)
Factor -5*k**5/3 - 310*k**4/3.
-5*k**4*(k + 62)/3
Factor -4*x**2 + 156*x + 160.
-4*(x - 40)*(x + 1)
Find t, given that 2*t**2/15 + 364*t/15 = 0.
-182, 0
Factor 3594816*a**2 - 18960*a + 25.
(1896*a - 5)**2
Factor 5*n**3 + 380*n**2 + 7585*n + 13690.
5*(n + 2)*(n + 37)**2
Factor -c**2/3 - 29*c - 410/3.
-(c + 5)*(c + 82)/3
Solve -g**3/6 - 152*g**2/3 - 605*g/6 - 151/3 = 0.
-302, -1
Factor 2*k**3/9 - 2*k/9.
2*k*(k - 1)*(k + 1)/9
What is q in 49*q**5/5 + 518*q**4/5 + 1656*q**3/5 + 400*q**2 + 784*q/5 + 96/5 = 0?
-6, -2, -2/7
Let 2*m**2/3 + 1852*m/3 + 428738/3 = 0. Calculate m.
-463
Factor 16*t**3 + 366*t**2 + 2034*t - 260.
2*(t + 10)*(t + 13)*(8*t - 1)
Let -2*d**4/7 + 100*d**3/7 - 14*d**2 = 0. Calculate d.
0, 1, 49
What is l in -l**3/4 + 85*l**2/4 - 81*l = 0?
0, 4, 81
Determine o so that o**3/4 - 69*o**2/4 + 99*o/2 = 0.
0, 3, 66
Let -31*j**3 - 59*j**2 + 254*j - 24 = 0. What is j?
-4, 3/31, 2
Factor -c**2 - 5824*c - 8479744.
-(c + 2912)**2
Factor -2*b**3 + 38*b**2 + 282*b + 450.
-2*(b - 25)*(b + 3)**2
Factor 4*j**2 + 320*j + 6400.
4*(j + 40)**2
What is k in 9*k**4 - 48*k**3 + 42*k**2 + 72*k - 27 = 0?
-1, 1/3, 3
Factor 107*g**2/6 - 323*g/6 + 1.
(g - 3)*(107*g - 2)/6
Factor 2*q**3/5 - 64*q**2/5 - 2048*q/5 + 65536/5.
2*(q - 32)**2*(q + 32)/5
Factor -4*u**2 + 2272*u - 322624.
-4*(u - 284)**2
Determine d so that -2*d**5 - 494*d**4 - 974*d**3 + 1470*d**2 = 0.
-245, -3, 0, 1
Factor 2*l**5 - 6*l**4 - 12*l**3 + 52*l**2 - 54*l + 18.
2*(l - 3)*(l - 1)**3*(l + 3)
Find d such that 3*d**3 - 39*d**2 + 96*d - 60 = 0.
1, 2, 10
Factor 12*d**3 + 693*d**2 - 1614*d + 360.
3*(d - 2)*(d + 60)*(4*d - 1)
Determine o, given that -2*o**5/11 - 12*o**4/11 + 54*o**3/11 = 0.
-9, 0, 3
Suppose -h**4/2 + 5*h**3/8 + 15*h**2/8 - 5*h/2 + 1/2 = 0. Calculate h.
-2, 1/4, 1, 2
Factor -o**3/4 + o**2 + o - 4.
-(o - 4)*(o - 2)*(o + 2)/4
Factor -3*a**3/5 + 99*a**2/5 - 438*a/5 + 504/5.
-3*(a - 28)*(a - 3)*(a - 2)/5
Determine p so that -11*p**4/6 + 43*p**3/6 + 5*p**2/2 - 43*p/6 - 2/3 = 0.
-1, -1/11, 1, 4
Factor -3*c**3 + 30*c**2 + 33*c.
-3*c*(c - 11)*(c + 1)
Factor -2*w**2/9 - 250*w/9 + 616/3.
-2*(w - 7)*(w + 132)/9
Factor 4*a**4 + 792*a**3 + 784*a**2 - 792*a - 788.
4*(a - 1)*(a + 1)**2*(a + 197)
What is h in h**3/3 + h**2 + h + 1/3 = 0?
-1
Factor b**4 + 48*b**3 + 264*b**2 + 512*b + 336.
(b + 2)**3*(b + 42)
Factor -a**3/4 + 1191*a**2/4.
-a**2*(a - 1191)/4
Factor -81*d**5 - 243*d**4 - 270*d**3 - 132*d**2 - 24*d.
-3*d*(d + 1)*(3*d + 2)**3
Let 419904*v**2 + 432*v + 1/9 = 0. Calculate v.
-1/1944
Suppose 4*u**4 + 256*u**3 + 248*u**2 - 256*u - 252 = 0. Calculate u.
-63, -1, 1
Find i such that i**4 + 16*i**3 + 29*i**2 + 14*i = 0.
-14, -1, 0
Factor -5*t**2 - 34820*t - 60621620.
-5*(t + 3482)**2
What is f in 5*f**5 - 1470*f**4 + 109485*f**3 - 208780*f**2 - 319740*f = 0?
-1, 0, 3, 146
Suppose 2*q**3/7 + 260*q**2/7 + 1934*q/7 - 2196/7 = 0. Calculate q.
-122, -9, 1
Determine s so that -529*s**2 + 10626*s - 53361 = 0.
231/23
What is b in -5*b**2 - 45*b - 90 = 0?
-6, -3
Let v**2/9 - 19*v/9 = 0. Calculate v.
0, 19
Factor -4*v**2/3 + 476*v - 1416.
-4*(v - 354)*(v - 3)/3
Factor -2*w**2 + 616*w - 1224.
-2*(w - 306)*(w - 2)
Factor -5*b**3 - 5*b**2 + 830*b + 3080.
-5*(b - 14)*(b + 4)*(b + 11)
Let -4*r**5 - 260*r**4 - 1236*r**3 - 2188*r**2 - 1688*r - 480 = 0. What is r?
-60, -2, -1
Determine u so that -3*u**5 - 48*u**4 - 192*u**3 = 0.
-8, 0
Factor 2*w**5 - 16*w**4 + 42*w**3 - 44*w**2 + 16*w.
2*w*(w - 4)*(w - 2)*(w - 1)**2
Suppose -b**5/4 - 277*b**4/4 - 1369*b**3/4 - 2455*b**2/4 - 953*b/2 - 136 = 0. Calculate b.
-272, -2, -1
Let 21609*x**5/2 + 108633*x**4/2 + 67771*x**3/2 - 192697*x**2/2 - 2640*x - 18 = 0. What is x?
-3, -2/147, 1
Let 2*y**3/15 + 2*y**2/5 = 0. What is y?
-3, 0
Factor -3*p**2/2 + 126*p - 246.
-3*(p - 82)*(p - 2)/2
Suppose -2*m**4 + 70*m**3/3 - 128*m**2/3 - 424*m/3 + 320/3 = 0. What is m?
-2, 2/3, 5, 8
Factor 3*q**2 + 168*q + 900.
3*(q + 6)*(q + 50)
Determine l, given that -l**3 + 47*l**2 - 680*l + 2800 = 0.
7, 20
Find o, given that -2*o**3 - 652*o**2 + 2634*o - 1980 = 0.
-330, 1, 3
Factor -b**2 + 12*b - 20.
-(b - 10)*(b - 2)
What is n in n**4 + 118*n**3 + 348*n**2 + 346*n + 115 = 0?
-115, -1
Find q, given that 3*q**2 + 1941*q - 3894 = 0.
-649, 2
Factor -4*l**3 - 68*l**2 - 64*l.
-4*l*(l + 1)*(l + 16)
Factor a**3/2 - 15*a**2/2 + 13*a.
a*(a - 13)*(a - 2)/2
Let -4*p**5 - 1512*p**4 + 1516*p**3 = 0. Calculate p.
-379, 0, 1
Factor -2*z**2 - 98*z - 1088.
-2*(z + 17)*(z + 32)
Suppose 2*y**2 - 86*y + 164 = 0. Calculate y.
2, 41
Solve -3*m**3/5 - 9*m**2 + 174*m/5 + 3024/5 = 0.
-14, -9, 8
Find u such that -140*u**4 + 1405*u**3 - 2980*u**2 + 5*u + 210 = 0.
-1/4, 2/7, 3, 7
Let 5*i**3 - 7*i**2 - 8*i + 4 = 0. Calculate i.
-1, 2/5, 2
Factor 14*v**4/3 - 136*v**3 + 58*v**2/3.
2*v**2*(v - 29)*(7*v - 1)/3
Factor -2*j**3 + 1398*j**2 - 325734*j + 25298674.
-2*(j - 233)**3
Factor -4*u**2/3 + 4*u + 40/3.
-4*(u - 5)*(u + 2)/3
Solve 3*g**5/5 - 9*g**4/5 - 3*g**3 + 9*g**2/5 + 12*g/5 = 0 for g.
-1, 0, 1, 4
Solve -4*p**2 + 28*p - 24 = 0 for p.
1, 6
Factor 14*z**3 - 2*z**2/3 - 14*z + 2/3.
2*(z - 1)*(z + 1)*(21*z - 1)/3
Factor 4*a**2 + 20*a - 336.
4*(a - 7)*(a + 12)
Factor i**3/7 + 8*i**2/7.
i**2*(i + 8)/7
Factor -5*m**2 + 150*m + 155.
-5*(m - 31)*(m + 1)
Let 1156*c**5 - 1428*c**4 - 868*c**3 + 1412*c**2 - 288*c + 16 = 0. Calculate c.
-1, 2/17, 1
Factor -69*c**3 + 42*c**2 + 27*c.
-3*c*(c - 1)*(23*c + 9)
Suppose -r**4/5 - 7*r**3 - 396*r**2/5 - 1296*r/5 + 1728/5 = 0. What is r?
-12, 1
Solve -4*d**4/7 - 8424*d**3/7 + 4*d**2/7 + 8424*d/7 = 0 for d.
-2106, -1, 0, 1
Factor p**5 - 13*p**4 + 11*p**3 + 13*p**2 - 12*p.
p*(p - 12)*(p - 1)**2*(p + 1)
Factor -3*m**3/8 + 603*m**2/8 - 29997*m/8 - 30603/8.
-3*(m - 101)**2*(m + 1)/8
Suppose 40*m**3/3 + 17*m**2/3 - 215*m/3 + 14 = 0. Calculate m.
-21/8, 1/5, 2
Factor -2*h**3/9 + 314*h**2/9 + 214*h/3 - 106.
-2*(h - 159)*(h - 1)*(h + 3)/9
Solve -4*j**5 + 308*j**4 - 5448*j**3 - 18560*j**2 - 12800*j = 0.
-2, -1, 0, 40
Factor 2*y**4 - 1020*y**3 + 131066*y**2 - 259080*y + 129032.
2*(y - 254)**2*(y - 1)**2
Solve -i**5/5 - 19*i**4/5 - 102*i**3/5 - 32*i**2/5 + 128*i = 0 for i.
-8, -5, 0, 2
Factor -u**3/7 - 120*u**2/7 - 2277*u/7 - 1694.
-(u + 11)**2*(u + 98)/7
Let 36*o**4/7 + 200*o**3/7 + 48*o**2 + 96*o/7 - 128/7 = 0. Calculate o.
-2, 4/9
Solve -28*q**3 - 36*q**2 - 8*q = 0.
-1, -2/7, 0
Factor y**2/4 - 33*y/2 + 189/4.
(y - 63)*(y - 3)/4
Factor -o**4/7 - 40*o**3/7 - 69*o**2/7 + 262*o/7 - 152/7.
-(o - 1)**2*(o + 4)*(o + 38)/7
Determine s, given that -25*s**5 - 360*s**4 - 766*s**3 - 564*s**2 - 145*s - 12 = 0.
-12, -1, -1/5
Factor -27*f**3/7 - 25*f**2/7 + 2*f/7.
-f*(f + 1)*(27*f - 2)/7
Factor 2*c**4/11 + 320*c**3/11 + 12476*c**2/11 - 25920*c/11 + 13122/11.
2*(c - 1)**2*(c + 81)**2/11
Suppose l**2/2 + 13*l/2 + 18 = 0. Calculate l.
-9, -4
Let -2*m**2/3 + 548*m/3 - 37538/3 = 0. What is m?
137
Factor -2*s**5/5 + 614*s**4/5 + 1236*s**3/5.
-2*s**3*(s - 309)*(s + 2)/5
Factor 6*h**3 - 82*h**2 - 128*h + 120.
2*(h - 15)*(h + 2)*(3*h - 2)
Factor -3*x**2 - 201*x - 1416.
-3*(x + 8