 + 26508*c/5 - 415292/5.
4*(c - 47)**3/5
Determine k so that 2*k**3 - 54*k**2 - 2*k + 54 = 0.
-1, 1, 27
Factor -2*f**5/3 - 7*f**4/6 + f**3/3.
-f**3*(f + 2)*(4*f - 1)/6
Factor 44*h**3/9 + 260*h**2/9 - 332*h/9 + 28/9.
4*(h - 1)*(h + 7)*(11*h - 1)/9
Factor 4*x**3 - 40*x**2 - 148*x - 104.
4*(x - 13)*(x + 1)*(x + 2)
Determine t so that t**3 - 5*t**2 - 6*t = 0.
-1, 0, 6
Suppose -3*d**3 + 5103*d**2 - 2172600*d + 2167500 = 0. Calculate d.
1, 850
Let -12*x**4 - 758*x**3/11 + 1020*x**2/11 - 304*x/11 = 0. What is x?
-76/11, 0, 1/2, 2/3
Let 4*x**4 - 28*x**3 + 16*x**2 + 48*x = 0. What is x?
-1, 0, 2, 6
Suppose -2*v**4 + 81*v**3 - 576*v**2 + 1036*v - 384 = 0. Calculate v.
1/2, 2, 6, 32
Factor -2*c**2/9 - 2*c.
-2*c*(c + 9)/9
Factor -j**2 + 13*j - 40.
-(j - 8)*(j - 5)
Factor -2*z**2 - 620*z/3 - 272.
-2*(z + 102)*(3*z + 4)/3
Suppose 3*t**4/5 = 0. Calculate t.
0
Determine f, given that -2*f**4/5 + 22*f**3/5 - 52*f**2/5 + 32*f/5 = 0.
0, 1, 2, 8
Find b, given that -4*b**5 + 12*b**4 + 72*b**3 + 16*b**2 - 96*b = 0.
-2, 0, 1, 6
Factor 3*j**4 - 9*j**2 - 6*j.
3*j*(j - 2)*(j + 1)**2
Solve 5*g**2 + 170*g = 0.
-34, 0
Find t, given that 4*t**5/3 - 580*t**4/3 + 1144*t**3/3 + 8*t**2/3 - 1148*t/3 + 572/3 = 0.
-1, 1, 143
Solve 3*p**2 - 18*p + 27 = 0 for p.
3
Factor z**2/8 + 1141*z/4 + 1301881/8.
(z + 1141)**2/8
Factor 4*o**3 + 56*o**2 + 112*o - 480.
4*(o - 2)*(o + 6)*(o + 10)
Factor 2*t**2 - 20252*t + 51267938.
2*(t - 5063)**2
Let n**3/2 + 56*n**2 + 1978*n + 21160 = 0. Calculate n.
-46, -20
Solve -2*f**3 + 5184*f**2 - 3364410*f + 6708100 = 0 for f.
2, 1295
Suppose 5*s**4/2 + 6*s**3 - 21*s**2/2 - 20*s - 6 = 0. Calculate s.
-3, -1, -2/5, 2
Find s such that -s**4/2 - 4*s**3 - 11*s**2/2 + 10*s = 0.
-5, -4, 0, 1
Solve 4*p**2 - 352*p + 688 = 0 for p.
2, 86
What is o in -3*o**4 - 2748*o**3 - 837216*o**2 - 84272400*o + 171915696 = 0?
-306, 2
Find t, given that -34*t**3/13 + 138*t**2/13 - 110*t/13 + 6/13 = 0.
1/17, 1, 3
Find t, given that 2*t**2/3 - 146*t/3 - 616/3 = 0.
-4, 77
Factor -w**3/3 - 23*w**2/3 + 26*w/3 + 16.
-(w - 2)*(w + 1)*(w + 24)/3
Determine q, given that -q**2 - 7*q - 10 = 0.
-5, -2
Factor -b**3/2 - 3*b**2 + 9*b/2 + 27.
-(b - 3)*(b + 3)*(b + 6)/2
Factor -5*a**3 + 485*a**2 + 5*a - 485.
-5*(a - 97)*(a - 1)*(a + 1)
Let v**3/3 + 1696*v**2/3 + 239135*v - 480534 = 0. Calculate v.
-849, 2
Determine f so that f**5/8 - 9*f**4/8 + 13*f**3/4 - 9*f**2/4 - 27*f/8 + 27/8 = 0.
-1, 1, 3
Suppose 5*i**2 - 1680*i + 141120 = 0. Calculate i.
168
Solve f**5/4 + f**4/2 - 71*f**3/4 + 68*f**2 - 95*f + 44 = 0.
-11, 1, 2, 4
Factor 2*f**3/13 - 28*f**2/13 - 1886*f/13 + 33856/13.
2*(f - 23)**2*(f + 32)/13
What is h in 3*h**3 + 6*h**2 = 0?
-2, 0
Factor -n**3/8 + 13*n**2/2 - 699*n/8 + 81.
-(n - 27)*(n - 24)*(n - 1)/8
Factor n**2/5 + 23*n/5 + 18.
(n + 5)*(n + 18)/5
Let 5*j**4 - 635*j**3 + 18500*j**2 + 106260*j + 87120 = 0. Calculate j.
-4, -1, 66
Factor -5*t**3 - 22815*t**2 - 34701615*t - 17593718805.
-5*(t + 1521)**3
Determine z so that 2*z**2/9 + 104*z/9 + 1190/9 = 0.
-35, -17
Factor -6*d**4 + 303*d**3 - 3900*d**2 + 1875*d.
-3*d*(d - 25)**2*(2*d - 1)
What is d in 2*d**5/3 - 4*d**4/3 + 4*d**2/3 - 2*d/3 = 0?
-1, 0, 1
Let 5*r**2 - 4010*r - 4015 = 0. Calculate r.
-1, 803
Factor -26*o**2/7 + 184*o/7 - 2.
-2*(o - 7)*(13*o - 1)/7
Suppose -r**5/2 - r**4/4 + 17*r**3/4 + r**2/4 - 15*r/4 = 0. What is r?
-3, -1, 0, 1, 5/2
Suppose 2*p**5/3 + 2*p**4 - 20*p**3/3 - 104*p**2/3 - 48*p - 64/3 = 0. What is p?
-2, -1, 4
Factor n**2 + 24*n + 144.
(n + 12)**2
Factor -2*f**3/9 - 14*f**2/9 - 8*f/3.
-2*f*(f + 3)*(f + 4)/9
Factor -22*b**2 - 12*b.
-2*b*(11*b + 6)
Let 5*h**5 + 145*h**4 - 305*h**3 + 155*h**2 = 0. What is h?
-31, 0, 1
Factor 3*i**2 - 3*i.
3*i*(i - 1)
Factor -2*j**2/5 + 108*j/5 - 1458/5.
-2*(j - 27)**2/5
Suppose -2*z**2/7 + 10*z/7 - 8/7 = 0. Calculate z.
1, 4
Factor -5*w**5 - 225*w**4 + 230*w**3.
-5*w**3*(w - 1)*(w + 46)
Factor -3*z**4 + 138*z**3 - 1587*z**2.
-3*z**2*(z - 23)**2
Find j such that -2*j**5/5 - 26*j**4/5 - 92*j**3/5 - 96*j**2/5 = 0.
-8, -3, -2, 0
Factor d**3/5 - d**2 - 32*d/5 - 36/5.
(d - 9)*(d + 2)**2/5
Solve 3*p**3 - 5508*p**2 + 11007*p - 5502 = 0.
1, 1834
Determine o, given that 2*o**4/5 + 588*o**3/5 + 57624*o**2/5 + 1882384*o/5 = 0.
-98, 0
Factor 99225*z**3 + 100485*z**2 + 1264*z + 4.
(z + 1)*(315*z + 2)**2
Determine z, given that -4*z**4 - 236*z**3 + 1248*z**2 - 2032*z + 1024 = 0.
-64, 1, 2
Factor -m**3/7 + 26*m**2/7.
-m**2*(m - 26)/7
Find b, given that 4*b**5/9 - 16*b**4/3 + 176*b**3/9 - 56*b**2/3 - 20*b + 24 = 0.
-1, 1, 3, 6
Solve -5*z**5 - 100*z**4 + 215*z**3 - 110*z**2 = 0 for z.
-22, 0, 1
Solve 9*h**5 - 192*h**4 + 1143*h**3 - 1260*h**2 + 300*h = 0 for h.
0, 1/3, 1, 10
Solve -6*q**5 + 57*q**4 - 162*q**3 + 132*q**2 + 24*q - 45 = 0 for q.
-1/2, 1, 3, 5
Suppose -6*u**4 - 33*u**3 + 1557*u**2 - 5640*u + 5412 = 0. What is u?
-41/2, 2, 11
Find l such that -3*l**5 - 69*l**4 - 129*l**3 + 4053*l**2 + 8232*l + 4116 = 0.
-14, -1, 7
Determine w so that -w**2/4 + 369*w - 136161 = 0.
738
What is r in r**3/4 - r**2/2 - 5*r/4 + 3/2 = 0?
-2, 1, 3
Factor 18*r**3 - 304*r**2 + 722*r + 84.
2*(r - 14)*(r - 3)*(9*r + 1)
Let -2*q**5/5 + 18*q**3/5 = 0. What is q?
-3, 0, 3
Find h such that 821762*h**2/5 - 5128*h/5 + 8/5 = 0.
2/641
Factor -3*r**4 - 93*r**3 + 195*r**2 - 99*r.
-3*r*(r - 1)**2*(r + 33)
Factor -5*g**5 + 5*g**4 + 30*g**3 + 10*g**2 - 25*g - 15.
-5*(g - 3)*(g - 1)*(g + 1)**3
Suppose 2*f**4/5 - 28*f**3/5 + 14*f**2 - 44*f/5 = 0. Calculate f.
0, 1, 2, 11
Factor -4*v**4 - 12*v**3 + 180*v**2 - 308*v + 144.
-4*(v - 4)*(v - 1)**2*(v + 9)
Factor 2*c**2/5 - 70*c - 352/5.
2*(c - 176)*(c + 1)/5
Suppose -i**2/2 - 4*i = 0. Calculate i.
-8, 0
Find i, given that 33*i**2/4 + 27*i/4 - 3/2 = 0.
-1, 2/11
Let 4*b**5 - 4*b**4 - 40*b**3 - 32*b**2 = 0. What is b?
-2, -1, 0, 4
Factor -z**3 - 51*z**2.
-z**2*(z + 51)
Factor -4*y**3 - 252*y**2 - 240*y + 496.
-4*(y - 1)*(y + 2)*(y + 62)
Factor g**3/3 - 31*g**2 + 530*g/3 - 232.
(g - 87)*(g - 4)*(g - 2)/3
Suppose 2*z**5/7 - 78*z**3/7 - 20*z**2 = 0. Calculate z.
-5, -2, 0, 7
Suppose 4*k**5 + 28*k**4 + 24*k**3 - 88*k**2 - 28*k + 60 = 0. What is k?
-5, -3, -1, 1
Factor h**5 - 83*h**4 + 1594*h**3 + 5290*h**2 + 5461*h + 1849.
(h - 43)**2*(h + 1)**3
Factor 2*g**2/5 + 14*g/5 - 16/5.
2*(g - 1)*(g + 8)/5
Suppose -b**2/4 + 231*b/2 + 463/4 = 0. Calculate b.
-1, 463
Factor -o**4/4 - 4*o**3 - 61*o**2/4 - 33*o/2.
-o*(o + 2)*(o + 3)*(o + 11)/4
Factor -28*f**3/3 + 88*f**2/3 - 92*f/3 + 32/3.
-4*(f - 1)**2*(7*f - 8)/3
Factor u**4 + 203*u**3 - 3897*u**2 + 17901*u.
u*(u - 9)**2*(u + 221)
Factor -f**2/7 + 1769*f/7.
-f*(f - 1769)/7
Determine k so that -k**2 + 26*k - 120 = 0.
6, 20
Factor -2*a**4 - 5058*a**3 - 4258824*a**2 - 1189601120*a + 3607269504.
-2*(a - 3)*(a + 844)**3
Find a, given that 102675*a**2/2 + 1110*a + 6 = 0.
-2/185
Factor -406*h**2 + 412*h - 6.
-2*(h - 1)*(203*h - 3)
Factor 2*n**3 + 36*n**2 + 34*n.
2*n*(n + 1)*(n + 17)
Let 3*q**4/4 + 291*q**3/4 + 9207*q**2/4 + 88209*q/4 - 107811/2 = 0. What is q?
-33, 2
Determine h, given that -2*h**5/5 - 4*h**4/5 + 24*h**3/5 - 28*h**2/5 + 2*h = 0.
-5, 0, 1
Let -u**5/4 + 23*u**4/4 - 69*u**3/2 + 143*u**2/2 - 245*u/4 + 75/4 = 0. What is u?
1, 5, 15
Determine v, given that -v**3 + 11*v**2 + 56*v + 60 = 0.
-2, 15
Determine p so that -3*p**3 + 61*p**2 + 108*p + 44 = 0.
-1, -2/3, 22
Let 14*v**4 - 40*v**3 + 186*v**2/7 - 36*v/7 = 0. What is v?
0, 3/7, 2
Factor -3*j**3/8 - 1467*j**2/8.
-3*j**2*(j + 489)/8
Factor -j**4/2 - 3*j**3/2 - j**2.
-j**2*(j + 1)*(j + 2)/2
Factor -r**4/7 - 13*r**3/7 + 46*r**2/7 - 32*r/7.
-r*(r - 2)*(r - 1)*(r + 16)/7
Factor 3*d**5/4 + 15*d**4/4 + 27*d**3/4 + 21*d**2/4 + 3*d/2.
3*d*(d + 1)**3*(d + 2)/4
Factor a**3 + 11*a**2 + 39*a + 45.
(a + 3)**2*(a + 5)
What is n in 4*n**3 + 428*n**2 + 11232*n - 11664 = 0?
-54, 1
Find t such that -3*t**4/7 - 18*t**3/7 + 321*t**2/7 + 2340*t/7 + 3300/7 = 0.
-10, -5, -2, 11
Let g**4 - 3*g**3 - g**2 + 3*g = 0. What is g?
-1, 0, 1, 3
Factor 3*n**2/2 - 1281*n/2 + 639.
3*(n - 426)*(n - 1)/2
Let 5*c**4/2 + 730*c**3 + 54015*c**2 + 105850*c + 105125/2 = 0. Calculate c.
-145, -1
Factor 5*y**2 + 14305*y + 14300.
5*(y + 1)*(y + 2860)
Factor -2*y**3/5 - 32*y**2/5 - 32*y - 256/5.
-2*(y + 4)**2*(y + 8)/5
Factor s**5/9 + s**4/9 - 7*s**3/9 - 13*s**2/9 - 2*s/3.
s*(s - 3)*(s + 1)**2*(s + 2)/9
Solve g**5 + 33*g**4/2 + 43*g**3/2 - 