5/8 + 5*d**4/8 - d**3 - 3*d**2/2 = 0.
-6, -1, 0, 2
Determine p so that 34*p**3/9 + 956*p**2/9 + 6776*p/9 + 784/9 = 0.
-14, -2/17
Factor 2*n**3/11 + 2*n**2/11 - 108*n/11 - 288/11.
2*(n - 8)*(n + 3)*(n + 6)/11
Factor -w**3/6 - 13*w**2/2 - 203*w/6 - 55/2.
-(w + 1)*(w + 5)*(w + 33)/6
Determine v so that -2*v**2/19 + 30*v/19 = 0.
0, 15
Factor 15*l**3/2 - 99*l**2/2 + 201*l/2 - 117/2.
3*(l - 3)*(l - 1)*(5*l - 13)/2
Factor -l**5 + 14*l**4 - 13*l**3 - 252*l**2 - 324*l.
-l*(l - 9)**2*(l + 2)**2
Suppose -5*v**2 - 320*v - 1200 = 0. What is v?
-60, -4
Factor -y**5 + 13*y**3 + 12*y**2.
-y**2*(y - 4)*(y + 1)*(y + 3)
Let -2*y**5/7 - 10*y**4/7 - 8*y**3/7 + 32*y**2/7 + 64*y/7 + 32/7 = 0. Calculate y.
-2, -1, 2
Factor 2*o**3 - 16*o**2 + 26*o - 12.
2*(o - 6)*(o - 1)**2
Determine v, given that 63*v**5/2 + 111*v**4/4 - 28*v**3 - 57*v**2/4 + 9*v - 1 = 0.
-1, 1/6, 2/7, 2/3
Suppose 2*p**3/7 + 16*p**2/7 - 18*p/7 = 0. Calculate p.
-9, 0, 1
Find c such that -c**5/3 - 205*c**4/3 - 203*c**3/3 + 205*c**2/3 + 68*c = 0.
-204, -1, 0, 1
Solve 15*l**5/11 - 104*l**4/11 - 409*l**3/11 - 486*l**2/11 - 236*l/11 - 40/11 = 0.
-1, -2/3, -2/5, 10
Factor -4*p**2/7 + 8*p - 180/7.
-4*(p - 9)*(p - 5)/7
Determine c, given that c**4/4 - 16*c**3 - 67*c**2/4 + 65*c/2 = 0.
-2, 0, 1, 65
Solve 3*q**3 - 9*q**2 - 3*q + 9 = 0.
-1, 1, 3
Factor 9*z**4 - 87*z**3 + 114*z**2 + 48*z.
3*z*(z - 8)*(z - 2)*(3*z + 1)
Factor 2*s**4/7 + 54*s**3 + 1050*s**2 + 7154*s + 16464.
2*(s + 7)**3*(s + 168)/7
Factor -2*z**3 - 146*z**2 - 1072*z - 2080.
-2*(z + 4)**2*(z + 65)
Determine d so that 10*d**5 - 64*d**4 + 98*d**3 + 4*d**2 - 48*d = 0.
-3/5, 0, 1, 2, 4
Factor 33*j**5/8 - 189*j**4/8 + 243*j**3/8 + 81*j**2/8.
3*j**2*(j - 3)**2*(11*j + 3)/8
Factor 21*o**3 - 3627*o**2 - 19728*o - 5340.
3*(o - 178)*(o + 5)*(7*o + 2)
Factor 2*i**3/9 + 34*i**2/3 + 712*i/9 + 344/3.
2*(i + 2)*(i + 6)*(i + 43)/9
Determine s so that -10*s**5 + 18*s**4 - 8*s**3 = 0.
0, 4/5, 1
Let -3*n**2 + 861*n + 864 = 0. Calculate n.
-1, 288
Find d such that 27*d**4 + 1188*d**3 + 1158*d**2 - 132*d - 129 = 0.
-43, -1, -1/3, 1/3
Factor -35*y**2/3 - 10*y + 5/3.
-5*(y + 1)*(7*y - 1)/3
Factor 2*h**2/7 + 94*h/7 + 180/7.
2*(h + 2)*(h + 45)/7
Suppose -44*s**3 + 52*s**2 + 520*s - 96 = 0. Calculate s.
-3, 2/11, 4
Factor 18*x**3 + 48*x**2 - 22*x - 12.
2*(x + 3)*(3*x - 2)*(3*x + 1)
Factor -4*f**3 - 132*f**2 + 1152*f + 1280.
-4*(f - 8)*(f + 1)*(f + 40)
Factor 5*g**4 + 10*g**3 - 25*g**2 - 30*g.
5*g*(g - 2)*(g + 1)*(g + 3)
Find p, given that -2*p**4/3 + 8*p**3 + 154*p**2/3 + 88*p + 136/3 = 0.
-2, -1, 17
Determine h so that 5*h**5 - 35*h**4 + 80*h**3 - 60*h**2 = 0.
0, 2, 3
Factor -w**2/3 - 49*w/3.
-w*(w + 49)/3
Suppose c**5/5 + 78*c**4/5 + 2221*c**3/5 + 5460*c**2 + 24500*c = 0. Calculate c.
-25, -14, 0
Solve n**2 - 370*n + 34225 = 0 for n.
185
Factor 129*w**3 + 252*w**2 - 12*w.
3*w*(w + 2)*(43*w - 2)
Determine p, given that -84*p**5/5 - 556*p**4/5 - 964*p**3/5 + 188*p**2/5 + 1128*p/5 + 288/5 = 0.
-3, -4/3, -2/7, 1
Determine l so that 20*l**5 + 124*l**4 + 244*l**3 + 164*l**2 + 24*l = 0.
-3, -2, -1, -1/5, 0
Factor 2*w**2 - 336*w + 14112.
2*(w - 84)**2
What is j in -10*j**4 - 4*j**3/3 + 154*j**2/3 - 176*j/3 + 56/3 = 0?
-14/5, 2/3, 1
Factor 50*y**5/3 - 4240*y**4/3 + 120968*y**3/3 - 1192352*y**2/3 + 896896*y/3 - 175616/3.
2*(y - 28)**3*(5*y - 2)**2/3
Factor -v**4/3 + 1028*v**3/3 - 87722*v**2 - 529420*v/3 - 265225/3.
-(v - 515)**2*(v + 1)**2/3
Let -3*b**5 + 1050*b**4 - 94980*b**3 + 544920*b**2 - 1073280*b + 710016 = 0. What is b?
2, 172
Let -9*g**4 - 59*g**3 - 138*g**2 - 132*g - 40 = 0. What is g?
-2, -5/9
Factor x**3 + 9*x**2 - 21*x + 11.
(x - 1)**2*(x + 11)
Let -2*v**3/9 - 4*v**2/3 - 22*v/9 - 4/3 = 0. Calculate v.
-3, -2, -1
Factor c**2 - 45*c + 234.
(c - 39)*(c - 6)
Factor 2*u**5 + 168*u**4 + 3904*u**3 - 2048*u**2 - 589824*u + 2097152.
2*(u - 8)*(u - 4)*(u + 32)**3
Find s such that s**5 - 94*s**4 + 2013*s**3 + 9212*s**2 + 9604*s = 0.
-2, 0, 49
Factor v**3 - 243*v**2 + 483*v - 241.
(v - 241)*(v - 1)**2
Factor -5*m**5 + 420*m**4 - 7200*m**3 - 155520*m**2 + 2799360*m + 33592320.
-5*(m - 36)**3*(m + 12)**2
Suppose 81*m**5/2 - 1899*m**4/2 + 4315*m**3/2 - 3341*m**2/2 + 464*m - 42 = 0. Calculate m.
2/9, 1, 21
Factor 95*p**2 - 315*p + 90.
5*(p - 3)*(19*p - 6)
Factor 130*r**3 + 55*r**2 - 70*r + 5.
5*(r + 1)*(2*r - 1)*(13*r - 1)
Solve h**2/4 - 5*h/4 - 6 = 0.
-3, 8
Find m such that 45*m**5 + 213*m**4/2 - 15*m**3 - 225*m**2/2 - 30*m + 6 = 0.
-2, -1, -1/2, 2/15, 1
Factor 4*q**4 - 4*q**3 - 32*q**2 + 48*q.
4*q*(q - 2)**2*(q + 3)
Factor 35*v**4 - 46440*v**3 - 6635*v**2.
5*v**2*(v - 1327)*(7*v + 1)
Factor -2*z**2 - 110*z + 228.
-2*(z - 2)*(z + 57)
Factor 2*n**4 - 30*n**3 + 24*n**2 + 56*n.
2*n*(n - 14)*(n - 2)*(n + 1)
Let 1936*f**2/3 + 88*f + 3 = 0. Calculate f.
-3/44
Factor -132*v**3 - 5404*v**2 - 4952*v + 320.
-4*(v + 1)*(v + 40)*(33*v - 2)
Factor d**5 + 13*d**4 - d**3 - 13*d**2.
d**2*(d - 1)*(d + 1)*(d + 13)
Let 3*y**4 + 921*y**3 - 6576*y**2 + 5652*y = 0. Calculate y.
-314, 0, 1, 6
Find m such that m**2/4 - m/4 - 1953/2 = 0.
-62, 63
Find m, given that 100*m**4/3 - 120*m**3 - 656*m**2/3 - 72*m - 20/3 = 0.
-1, -1/5, 5
Let 9*s**5 - 141*s**4 + 333*s**3 - 279*s**2 + 78*s = 0. Calculate s.
0, 2/3, 1, 13
Factor 4*f**3 - 456*f**2/5 - 2064*f/5 - 2144/5.
4*(f + 2)**2*(5*f - 134)/5
Factor 27*w**3/2 - 939*w**2/2 + 354*w + 102.
3*(w - 34)*(w - 1)*(9*w + 2)/2
Let -z**4 + 3*z**3 + 3*z**2 - 11*z + 6 = 0. Calculate z.
-2, 1, 3
Factor -4*q**3/9 + 50*q**2/3 - 152*q - 722/9.
-2*(q - 19)**2*(2*q + 1)/9
Solve 2*a**5 - 22*a**4 + 50*a**3 - 10*a**2 - 52*a + 32 = 0 for a.
-1, 1, 2, 8
Solve 5*u**2/2 - 1035*u/2 + 10980 = 0 for u.
24, 183
What is d in 11*d**4/2 - 9*d**3 + 3*d**2/2 + 2*d = 0?
-4/11, 0, 1
Factor -y**2/4 - 464*y - 215296.
-(y + 928)**2/4
Factor k**5 - 20*k**4 + 53*k**3 - 34*k**2.
k**2*(k - 17)*(k - 2)*(k - 1)
Factor -u**4 - 46*u**3 + 944*u**2 + 46254*u - 47151.
-(u - 31)*(u - 1)*(u + 39)**2
Factor 8*k**3/7 - 10*k**2/7 - 4*k/7 + 6/7.
2*(k - 1)**2*(4*k + 3)/7
Factor -k**3 + 5*k**2 + 6*k.
-k*(k - 6)*(k + 1)
Let 5*s**3/2 + 6*s**2 - 11*s/2 - 3 = 0. What is s?
-3, -2/5, 1
Let -4*o**5 - 80*o**4 + 84*o**3 = 0. What is o?
-21, 0, 1
Factor -j**4 + j**3 + 4*j**2 - 4*j.
-j*(j - 2)*(j - 1)*(j + 2)
Determine z so that -z**4/2 - 4*z**3 + 15*z**2 + 200*z + 875/2 = 0.
-5, 7
Factor -r**2/7 + 6*r/7 - 5/7.
-(r - 5)*(r - 1)/7
Factor -d**4/3 + 274*d**3/3 + 276*d**2 + 830*d/3 + 277/3.
-(d - 277)*(d + 1)**3/3
Let -i**3 + 9*i**2 = 0. Calculate i.
0, 9
Determine n so that -15*n**5 + 66*n**4 - 24*n**3 = 0.
0, 2/5, 4
Find r, given that 4*r**4 - 52*r**3 - 328*r**2 - 560*r - 288 = 0.
-2, -1, 18
Let 100*j**5 - 1265*j**4 + 1890*j**3 - 835*j**2 + 110*j = 0. Calculate j.
0, 1/4, 2/5, 1, 11
Suppose 21609*g**3/2 + 7791*g**2/2 + 100*g + 2/3 = 0. Calculate g.
-1/3, -2/147
Factor -3*c**2 - 29760*c - 73804800.
-3*(c + 4960)**2
Factor f**2/4 - 33*f/4 + 8.
(f - 32)*(f - 1)/4
Suppose 3*h**2/4 + 33*h/4 + 21 = 0. What is h?
-7, -4
Factor 2*r**4/9 - 4*r**3/9 - 38*r**2/9 + 136*r/9 - 40/3.
2*(r - 3)*(r - 2)**2*(r + 5)/9
Determine y so that 4*y**4 + 19*y**3 - 9*y**2 - 19*y + 5 = 0.
-5, -1, 1/4, 1
Factor 30*v**2 - 14*v - 16.
2*(v - 1)*(15*v + 8)
Let 3*f**3/5 - 22*f**2/5 - 17*f/5 + 8/5 = 0. Calculate f.
-1, 1/3, 8
Solve -d**5/3 + 6*d**4 + 26*d**3 - 332*d**2/3 + 121*d - 42 = 0 for d.
-6, 1, 21
Factor 4*z**5 - 556*z**4 - 1692*z**3 - 1700*z**2 - 568*z.
4*z*(z - 142)*(z + 1)**3
Factor 2*k**2/7 + 30*k/7.
2*k*(k + 15)/7
Factor -15*c**4 + 25*c**3 + 20*c**2 - 20*c.
-5*c*(c - 2)*(c + 1)*(3*c - 2)
Suppose -4*q**4 + 36*q**3 - 12*q**2 - 148*q - 96 = 0. Calculate q.
-1, 3, 8
Factor 3*t**2/4 - 99*t/4.
3*t*(t - 33)/4
Factor -2*i**2 + 1966*i + 1968.
-2*(i - 984)*(i + 1)
Factor -2*z**3/15 - 6*z**2 - 90*z - 450.
-2*(z + 15)**3/15
Suppose 2*y**5 - 4*y**4 - 8*y**3 + 16*y**2 = 0. Calculate y.
-2, 0, 2
Factor 2*o**2/5 - 62*o/5 - 3132/5.
2*(o - 58)*(o + 27)/5
Find t such that 32*t**5/11 + 80*t**4/11 - 190*t**3/11 + 20*t**2/11 + 50*t/11 + 8/11 = 0.
-4, -1/4, 1
Solve 3*p**5/2 + 42*p**4 + 489*p**3/2 + 522*p**2 + 378*p = 0 for p.
-21, -3, -2, 0
Determine z, given that z**5 - 13*z**4 + 61*z**3 - 127*z**2 + 118*z - 40 = 0.
1, 2, 4, 5
Factor -4*w**5 + 11*w**4/3 - 2*w**3/3.
-w**3*(3*w - 2)*(4*w - 1)/3
Solve -i**3 - 17*i**2 - 16*i = 0.
-16, -1, 0
Factor 2*x**4/5 + 6*x**3/5 - 2*x**2/5 -