**2 + 729.
-(x - 27)*(x + 27)
Determine j, given that j**5 - 10*j**4 - j**3 + 10*j**2 = 0.
-1, 0, 1, 10
Let -3*i**5/4 - 21*i**4/2 - 129*i**3/4 - 45*i**2/2 = 0. What is i?
-10, -3, -1, 0
Factor 5*q**3 + 1495*q**2 + 107920*q - 577600.
5*(q - 5)*(q + 152)**2
Suppose -125*h**3 - 775*h**2 + 680*h - 140 = 0. What is h?
-7, 2/5
Suppose -2*b**2/7 + 432*b/7 - 23328/7 = 0. What is b?
108
Factor 128*y**4 - 336*y**3 + 144*y**2 + 108*y.
4*y*(2*y - 3)**2*(8*y + 3)
Factor 2*p**2/7 + 64*p/7 - 30.
2*(p - 3)*(p + 35)/7
Suppose -3*x**4 + 33*x**3 - 111*x**2 + 135*x - 54 = 0. What is x?
1, 3, 6
Suppose 2*m**2 - 32 = 0. Calculate m.
-4, 4
Factor 3*t**2/5 - 12*t/5 - 36/5.
3*(t - 6)*(t + 2)/5
Factor -2*r**5/3 + 7*r**4/6 + r**3/2 - 11*r**2/6 + 5*r/6.
-r*(r - 1)**3*(4*r + 5)/6
Factor -17*v**2/5 - 19*v/5 - 2/5.
-(v + 1)*(17*v + 2)/5
Determine i so that -2*i**4 - 112*i**3 + 116*i**2 + 112*i - 114 = 0.
-57, -1, 1
Factor -2*k**4/15 - 8*k**3/15 - 2*k**2/3 - 4*k/15.
-2*k*(k + 1)**2*(k + 2)/15
Factor 3*s**2/7 + 162*s + 6696/7.
3*(s + 6)*(s + 372)/7
Factor 4*x**3 - 4*x**2 - 84*x + 180.
4*(x - 3)**2*(x + 5)
Factor -3*o**3 - 2*o**2 + o.
-o*(o + 1)*(3*o - 1)
Determine o, given that -5*o**5 + 50*o**4 - 165*o**3 + 220*o**2 - 100*o = 0.
0, 1, 2, 5
Let -4*q**2 + 148*q - 640 = 0. Calculate q.
5, 32
What is h in 15*h**3 - 61*h**2 - 71*h + 5 = 0?
-1, 1/15, 5
Factor -3*m**2/4 + 15*m/4 + 9/2.
-3*(m - 6)*(m + 1)/4
Factor 3*g**2 + 20976*g + 36666048.
3*(g + 3496)**2
Solve 5*x**4 - 70*x**3 = 0 for x.
0, 14
Factor -2*x**3/11 + 20*x**2/11 + 24*x + 432/11.
-2*(x - 18)*(x + 2)*(x + 6)/11
Factor 3*o**4 - 60*o**3 - 567*o**2.
3*o**2*(o - 27)*(o + 7)
Factor c**3/2 + 81*c**2 + 4374*c + 78732.
(c + 54)**3/2
Factor 3*c**3 + 201*c**2 + 3045*c - 11025.
3*(c - 3)*(c + 35)**2
Factor -2*c**2/11 + 54*c/11 + 1376/11.
-2*(c - 43)*(c + 16)/11
Suppose 2*b**5/9 - 8*b**4/9 + 2*b**3/9 + 28*b**2/9 - 40*b/9 + 16/9 = 0. What is b?
-2, 1, 2
Solve b**2/2 - 171*b + 29241/2 = 0.
171
Suppose -2*k**5/7 - 36*k**4/7 + 116*k**3 + 104*k**2/7 - 2490*k/7 + 1612/7 = 0. What is k?
-31, -2, 1, 13
Solve 3*q**4 - 12*q**3 - 2034*q**2 - 4020*q - 2001 = 0.
-23, -1, 29
Factor q**2 - 690*q + 119025.
(q - 345)**2
Factor -5*d**4 + 5*d**3 + 260*d**2 + 820*d + 720.
-5*(d - 9)*(d + 2)**2*(d + 4)
Suppose 3*s**5 + 54*s**4 + 138*s**3 + 36*s**2 - 141*s - 90 = 0. Calculate s.
-15, -2, -1, 1
What is i in -10*i**4 - 1184*i**3 - 1622*i**2 + 1880*i + 936 = 0?
-117, -2, -2/5, 1
Factor -c**3/4 + 5751*c**2/2 - 11024667*c + 14089524426.
-(c - 3834)**3/4
Determine z, given that -40*z**3/7 - 58*z**2 - 426*z/7 - 108/7 = 0.
-9, -3/4, -2/5
Factor -m**2/3 + 4*m - 11/3.
-(m - 11)*(m - 1)/3
Find p such that -3*p**2 - 138*p - 615 = 0.
-41, -5
Let -2*a**3/7 + 4042*a**2/7 - 2040198*a/7 - 2044242/7 = 0. What is a?
-1, 1011
Factor n**2 + 8*n + 15.
(n + 3)*(n + 5)
Factor 2*w**5/15 - 2*w**4/3 + 14*w**3/15 - 2*w**2/5.
2*w**2*(w - 3)*(w - 1)**2/15
Find t such that -4*t**4/3 - 314*t**3 + 792*t**2 - 952*t/3 = 0.
-238, 0, 1/2, 2
Solve -c**2/2 - 50*c - 99/2 = 0 for c.
-99, -1
Factor -2*q**4 - 2*q**3 + 20*q**2 + 8*q - 48.
-2*(q - 2)**2*(q + 2)*(q + 3)
Factor -3*v**4 + 3*v**3 + 6*v**2.
-3*v**2*(v - 2)*(v + 1)
Factor -11*f**3 - 1054*f**2 - 25152*f + 4608.
-(f + 48)**2*(11*f - 2)
What is a in -4*a**3 - 444*a**2 - 12540*a - 12100 = 0?
-55, -1
Factor 2*s**5 - 22*s**4 + 28*s**3 + 88*s**2 - 144*s.
2*s*(s - 9)*(s - 2)**2*(s + 2)
Determine o, given that 36*o**5/5 - 24*o**4/5 - 73*o**3 - 84*o**2 - 156*o/5 - 16/5 = 0.
-2, -2/3, -1/2, -1/6, 4
Suppose 4*i**4 - 444*i**3 + 15960*i**2 - 167504*i - 658464 = 0. Calculate i.
-3, 38
Factor -2*j**5 + 8*j**4 - 32*j**2 + 32*j.
-2*j*(j - 2)**3*(j + 2)
Find h, given that h**2 - 206*h + 10609 = 0.
103
Factor -5*j**2 + 45*j + 350.
-5*(j - 14)*(j + 5)
Factor -5*p**2 + 315*p - 4300.
-5*(p - 43)*(p - 20)
Find f, given that -2*f**2/9 + 19*f/9 - 17/9 = 0.
1, 17/2
Determine c so that -c**5/3 + c**4/3 + 4*c**3/3 - 4*c**2/3 = 0.
-2, 0, 1, 2
Determine o, given that -6*o**4 - 111*o**3 - 273*o**2 + 2343*o - 1089 = 0.
-11, 1/2, 3
What is n in 4*n**4 + 104*n**3 + 288*n**2 + 280*n + 92 = 0?
-23, -1
Find s, given that 2*s**4/5 - 48*s**3/5 + 164*s**2/5 + 96*s + 266/5 = 0.
-1, 7, 19
Find c such that -c**4 + 4*c**3 - 4*c**2 = 0.
0, 2
Factor 4*z**2/5 - 2206*z/5 - 1104/5.
2*(z - 552)*(2*z + 1)/5
Let -2*p**3 + 26*p**2 - 104*p + 120 = 0. Calculate p.
2, 5, 6
Factor 2*p**3/5 - 16*p**2/5 + 18*p/5 + 36/5.
2*(p - 6)*(p - 3)*(p + 1)/5
Factor c**4 - 206*c**3 + 205*c**2.
c**2*(c - 205)*(c - 1)
Factor -y**4/4 - 17*y**3/4 - 4*y**2.
-y**2*(y + 1)*(y + 16)/4
Solve 124*x**2 + 1728*x - 112 = 0.
-14, 2/31
Factor -2*f**2 + 100*f + 102.
-2*(f - 51)*(f + 1)
Factor -i**3/2 + 213*i**2 - 424*i.
-i*(i - 424)*(i - 2)/2
Determine b, given that 2*b**3/7 - 2778*b**2/7 + 960480*b/7 + 2906496/7 = 0.
-3, 696
Let 2*o**5/23 - 40*o**4/23 - 10*o**3/23 + 200*o**2/23 + 8*o/23 - 160/23 = 0. What is o?
-2, -1, 1, 2, 20
Determine n so that -4*n**2 - 680*n = 0.
-170, 0
Determine p, given that p**5 - 98*p**4 + 2677*p**3 - 13528*p**2 + 19412*p - 8464 = 0.
1, 4, 46
Determine z so that -2*z**2 + 122*z + 520 = 0.
-4, 65
Factor c**2/3 + 91*c/3 - 654.
(c - 18)*(c + 109)/3
Factor 2*f**2 + 44*f + 80.
2*(f + 2)*(f + 20)
Let 104*w**2 - 274*w + 180 = 0. Calculate w.
5/4, 18/13
Let -25*i**5/4 - 595*i**4/4 - 1415*i**3/2 + 4195*i**2/2 - 5785*i/4 + 845/4 = 0. Calculate i.
-13, 1/5, 1
Let -3*v**4 + 126*v**3 - 117*v**2 - 246*v = 0. What is v?
-1, 0, 2, 41
Determine y so that y**5/2 - 17*y**4 + 305*y**3/2 - 346*y**2 + 210*y = 0.
0, 1, 2, 10, 21
Suppose -n**4/5 + 38*n**3/5 - 61*n**2/5 - 1140*n - 4500 = 0. Calculate n.
-6, 25
Factor -3*j**3 + 36*j - 48.
-3*(j - 2)**2*(j + 4)
What is r in r**4 + 4*r**3/5 - r**2 - 4*r/5 = 0?
-1, -4/5, 0, 1
Factor -4*n**4 + 224*n**3 - 1220*n**2 + 1000*n.
-4*n*(n - 50)*(n - 5)*(n - 1)
Factor 2*y**3/13 + 50*y**2/13 + 174*y/13 + 126/13.
2*(y + 1)*(y + 3)*(y + 21)/13
Suppose -5*b**3 - 115*b**2 + 525*b - 405 = 0. Calculate b.
-27, 1, 3
Determine j so that -12*j**3 - 855*j**2 - 1053*j - 210 = 0.
-70, -1, -1/4
Factor 2*y**3/9 + 68*y**2/9 + 640*y/9 + 1024/9.
2*(y + 2)*(y + 16)**2/9
Factor 4*f**2 - 24*f + 20.
4*(f - 5)*(f - 1)
Solve 21*b**3/2 + 24279*b**2 + 14038464*b + 4009008 = 0 for b.
-1156, -2/7
Factor 2*u**3/3 - 34*u**2/3 + 32*u/3.
2*u*(u - 16)*(u - 1)/3
What is y in -y**2 - 4409*y - 4408 = 0?
-4408, -1
Solve 6*m**3 - 58*m**2/5 - 8*m/5 + 8/5 = 0 for m.
-2/5, 1/3, 2
Solve t**3/2 - 3*t**2 - 15*t/2 - 4 = 0 for t.
-1, 8
Find n such that 3*n**2 - 126*n - 264 = 0.
-2, 44
Find f such that -2*f**5/3 + 170*f**4/3 - 1574*f**3/3 + 1890*f**2 - 3024*f + 1800 = 0.
2, 3, 75
Factor -x**3/3 + 1306*x**2 - 1705636*x + 2227560616/3.
-(x - 1306)**3/3
Solve -6*r**5 - 111*r**4 - 387*r**3 + 1131*r**2 - 627*r = 0 for r.
-11, -19/2, 0, 1
Factor -57*j**4 + 1365*j**3/4 - 1359*j**2/2 + 447*j + 6.
-3*(j - 2)**3*(76*j + 1)/4
Solve 10*g**5/7 + 64*g**4/7 + 114*g**3/7 + 76*g**2/7 + 16*g/7 = 0 for g.
-4, -1, -2/5, 0
Factor 2*p**4/3 + 4*p**3 - 16*p**2 + 52*p/3 - 6.
2*(p - 1)**3*(p + 9)/3
Find o, given that -2*o**5/15 - 8*o**4/15 + 8*o**3/15 + 68*o**2/15 + 6*o + 12/5 = 0.
-3, -2, -1, 3
Determine c so that 2*c**3/11 + 2*c**2/11 - 12*c/11 = 0.
-3, 0, 2
Determine z, given that -52*z**4/3 - 224*z**3/3 + 1192*z**2/3 + 224*z/3 - 380 = 0.
-95/13, -1, 1, 3
Find k such that -3*k**2 + 27*k + 108 = 0.
-3, 12
Factor -2*o**3 - 314*o**2 + 2640*o.
-2*o*(o - 8)*(o + 165)
Let f**3/4 - 1633*f**2/4 + 1631*f/2 = 0. What is f?
0, 2, 1631
What is s in 60*s**3 - 52*s**2 + 8*s = 0?
0, 1/5, 2/3
Factor -19*f**3/4 - 11*f**2/2 - 3*f/4.
-f*(f + 1)*(19*f + 3)/4
Suppose -4*g**2/7 - 80*g/7 - 256/7 = 0. Calculate g.
-16, -4
Factor -2*i**3 - 112*i**2 - 920*i.
-2*i*(i + 10)*(i + 46)
Factor -2*s**3/9 + 14*s**2/3 - 112*s/9 + 8.
-2*(s - 18)*(s - 2)*(s - 1)/9
Factor -4*h**2 - 57712*h - 208167184.
-4*(h + 7214)**2
Find l such that 3*l**4 + 2160*l**3 - 8673*l**2 + 10854*l - 4344 = 0.
-724, 1, 2
Factor -f**2 - 398*f - 39601.
-(f + 199)**2
Factor h**2/6 - 9*h/2 - 14/3.
(h - 28)*(h + 1)/6
Factor -3*u**3 + 2424*u**2 - 4839*u + 2418.
-3*(u - 806)*(u - 1)**2
Determine u so that -2*u**2/5 + 6*u - 28/5 = 0.
1, 14
Let -4*i**3 - 100*i**2 + 4*i + 100 = 0. Calculate i.
-25, -1, 1
Suppose -4*j**5 - 188*j**4/3 + 392*j**3 + 880*j**2 - 1696*j/3 - 640 = 0. What is j?
-20, -2, -2/3, 1, 6
Factor 5