/5 + 84/5 = 0.
-4, 21
Factor o**2/3 + 12*o - 37/3.
(o - 1)*(o + 37)/3
Let 2*w**4 + 10*w**3 + 4*w**2 - 16*w = 0. Calculate w.
-4, -2, 0, 1
Suppose -3*d**3 - 99*d**2 - 765*d + 867 = 0. What is d?
-17, 1
Determine k so that 5*k**2 + 315*k - 320 = 0.
-64, 1
Factor m**5 - 17*m**4 - 12*m**3 + 188*m**2 + 272*m.
m*(m - 17)*(m - 4)*(m + 2)**2
Factor c**4/3 - 4*c**3/3.
c**3*(c - 4)/3
Find g such that -3*g**3 - 84*g**2 - 495*g + 1350 = 0.
-15, 2
Solve f**4/4 + f**3 - 13*f**2/4 - f + 3 = 0 for f.
-6, -1, 1, 2
Let 2*b**2/11 + 6*b + 180/11 = 0. What is b?
-30, -3
Suppose 36*q**3/5 - 514*q**2/5 - 386*q/5 - 12 = 0. Calculate q.
-1/2, -2/9, 15
Solve -4*i**5 - 4*i**4 = 0 for i.
-1, 0
Find p, given that -5*p**2 + 805*p - 800 = 0.
1, 160
Find f such that 8*f**5/11 + 38*f**4/11 - 202*f**3/11 + 48*f**2/11 = 0.
-8, 0, 1/4, 3
Factor j**3/2 - 126*j**2 - 253*j/2.
j*(j - 253)*(j + 1)/2
Suppose f**3/6 + 5*f**2 - 342*f - 33212/3 = 0. What is f?
-38, 46
Factor 2*s**4 - 296*s**3 + 11244*s**2 - 21608*s + 10658.
2*(s - 73)**2*(s - 1)**2
Factor -2*g**2/7 - 396*g/7 - 19602/7.
-2*(g + 99)**2/7
Let -50*o**4/3 - 140*o**3/3 + 3062*o**2/3 + 2504*o/3 + 168 = 0. What is o?
-9, -2/5, 7
Solve 2*g**3 - 228*g**2 + 226*g = 0.
0, 1, 113
Factor p**2 + 126*p + 3969.
(p + 63)**2
Factor -3*g**4 - 30*g**3 + 39*g**2 + 66*g.
-3*g*(g - 2)*(g + 1)*(g + 11)
What is t in 5*t**2 = 0?
0
Determine v so that 3*v**4/7 + 36*v**3/7 - 45*v**2/7 - 78*v/7 = 0.
-13, -1, 0, 2
Suppose -i**2 + 34*i = 0. What is i?
0, 34
What is k in 3*k**3 - 21*k**2 - 84*k - 60 = 0?
-2, -1, 10
Let -21*s**5 - 6810*s**4 - 722664*s**3 - 23583120*s**2 + 161026800*s + 47916000 = 0. What is s?
-110, -2/7, 6
Determine x so that 21*x**4/4 + 219*x**3/4 + 90*x**2 - 129*x - 264 = 0.
-8, -2, 11/7
Factor -t**4/2 + 1745*t**3 - 3041533*t**2/2 - 3046770*t - 1524258.
-(t - 1746)**2*(t + 1)**2/2
What is f in 6*f**5 + 33*f**4 + 33*f**3 - 45*f**2 - 27*f = 0?
-3, -1/2, 0, 1
What is m in -m**5/6 + 322*m**4 - 3859*m**3/3 + 5786*m**2/3 - 2571*m/2 + 964/3 = 0?
1, 1928
Factor 4*v**5 + 44*v**4 - 100*v**3 + 52*v**2.
4*v**2*(v - 1)**2*(v + 13)
Suppose 18*y**4/5 + 22*y**3/5 - 14*y**2/5 - 22*y/5 - 4/5 = 0. Calculate y.
-1, -2/9, 1
Factor -n**4/8 + 11*n**3/4 - 33*n**2/8 - 259*n/2 - 245/2.
-(n - 14)**2*(n + 1)*(n + 5)/8
Determine m so that -2*m**4/11 + 10*m**3/11 - 14*m**2/11 + 6*m/11 = 0.
0, 1, 3
Factor -15*j**2/7 - 558*j - 1560/7.
-3*(j + 260)*(5*j + 2)/7
Let -a**5/3 + 11*a**4/3 + 367*a**3/3 - 395*a**2/3 - 250*a = 0. Calculate a.
-15, -1, 0, 2, 25
Solve c**5 - 755*c**4 - c**3 + 755*c**2 = 0.
-1, 0, 1, 755
Find g such that 270*g**5 + 723*g**4 + 231*g**3 - 306*g**2 - 60*g + 24 = 0.
-2, -1, -2/5, 2/9, 1/2
What is g in -3*g**5/5 + 33*g**4/5 - 93*g**3/5 - 57*g**2/5 + 84*g - 60 = 0?
-2, 1, 2, 5
Factor -5*p**3 - 135*p**2 - 975*p - 845.
-5*(p + 1)*(p + 13)**2
Let -z**4 + z**3 + 26*z**2 - 84*z + 72 = 0. What is z?
-6, 2, 3
Factor w**4/7 + 282*w**3/7 - 283*w**2/7.
w**2*(w - 1)*(w + 283)/7
Determine l so that 6*l**4/5 - 18*l**3/5 - 24*l**2/5 = 0.
-1, 0, 4
Determine m, given that -2*m**4 + 44*m**3 - 210*m**2 + 288*m = 0.
0, 3, 16
What is o in -3*o**4/2 - 15*o**3 - 87*o**2/2 - 12*o + 72 = 0?
-4, -3, 1
Find d such that -d**2/9 - 38*d/9 + 13/3 = 0.
-39, 1
Factor 4*g**4 + 32*g**3 + 60*g**2.
4*g**2*(g + 3)*(g + 5)
Factor -119*q**2/3 - 121*q/3 - 2/3.
-(q + 1)*(119*q + 2)/3
Solve 5*i**2 - 100*i - 1120 = 0.
-8, 28
Solve -3*s**2 - 18*s + 216 = 0.
-12, 6
What is a in -25*a**2 - 90*a + 40 = 0?
-4, 2/5
Suppose -4*z**3 + 124*z**2 = 0. Calculate z.
0, 31
Factor 5*t**2 - 6755*t - 6760.
5*(t - 1352)*(t + 1)
Suppose 22*q**5/9 - 31*q**4/9 - 14*q**3/9 + 32*q**2/9 - 8*q/9 - 1/9 = 0. Calculate q.
-1, -1/11, 1/2, 1
Factor 4*v**2/7 - 132*v/7 - 40.
4*(v - 35)*(v + 2)/7
Let 14*f**4/11 + 158*f**3/11 - 124*f**2/11 - 48*f/11 = 0. What is f?
-12, -2/7, 0, 1
Factor p**4 - 38*p**3 - p**2 + 38*p.
p*(p - 38)*(p - 1)*(p + 1)
Factor -l**4/2 - 9*l**3/2 + 11*l**2.
-l**2*(l - 2)*(l + 11)/2
Factor v**4 - 29*v**3 + 80*v**2 - 52*v.
v*(v - 26)*(v - 2)*(v - 1)
Determine j, given that 2*j**4 - 16*j**3 + 10*j**2 + 100*j = 0.
-2, 0, 5
Suppose 4*h**5/3 + 40*h**4/3 - 244*h**3/3 - 280*h**2/3 = 0. Calculate h.
-14, -1, 0, 5
What is m in 5*m**4/2 - 119*m**3/6 + 187*m**2/6 - 77*m/6 - 1 = 0?
-1/15, 1, 6
Factor 5*n**2 + 420*n + 8820.
5*(n + 42)**2
Find x such that -x**4 + 9*x**3 - 7*x**2 - 9*x + 8 = 0.
-1, 1, 8
Suppose -w**3/5 + 17*w**2 = 0. Calculate w.
0, 85
Let -4*g**2 + 4432*g - 4428 = 0. Calculate g.
1, 1107
Find h, given that -4*h**2 + 240*h + 496 = 0.
-2, 62
Let 3*d**5 - 75*d**4 + 342*d**3 + 1596*d**2 + 1176*d = 0. What is d?
-2, -1, 0, 14
Factor -v**4 - 2*v**3 + 8*v**2.
-v**2*(v - 2)*(v + 4)
Suppose -3*u**2 + 6575*u + 2192 = 0. Calculate u.
-1/3, 2192
Factor -4*w**3/9 - 7084*w**2/9 - 3147040*w/9 - 3125824/3.
-4*(w + 3)*(w + 884)**2/9
Suppose s**3/5 + 64*s**2/5 - s/5 - 64/5 = 0. What is s?
-64, -1, 1
Find z, given that z**3/4 - 87*z**2/4 - 90*z - 91 = 0.
-2, 91
Factor 4*w**2 + 1528*w + 3040.
4*(w + 2)*(w + 380)
Factor i**2/2 - 11*i/2.
i*(i - 11)/2
Solve -z**3/7 + 21*z**2 - 6696*z/7 + 88412/7 = 0 for z.
23, 62
Factor -2*g**2/17 - 30*g/17.
-2*g*(g + 15)/17
Let 5*d**2 + 1890*d + 178605 = 0. What is d?
-189
Let -3*v**2 + 75*v + 9450 = 0. What is v?
-45, 70
Let 2*p**4/7 + 20*p**3/7 + 46*p**2/7 + 4*p = 0. What is p?
-7, -2, -1, 0
Factor -3*w**5 - 3*w**4 + 42*w**3 + 84*w**2 - 24*w - 96.
-3*(w - 4)*(w - 1)*(w + 2)**3
Factor 6*m**5/11 - 348*m**4/11 + 5376*m**3/11 - 9408*m**2/11.
6*m**2*(m - 28)**2*(m - 2)/11
Find u, given that 3*u**2 + 870*u - 1752 = 0.
-292, 2
Find a, given that 2*a**2/7 - 4512*a/7 = 0.
0, 2256
Factor 5*w**2 - 145*w + 270.
5*(w - 27)*(w - 2)
Find b such that -b**5 - 182*b**4 - 8812*b**3 - 48584*b**2 - 94336*b - 61952 = 0.
-88, -2
Factor a**3 + 5*a**2 + 4*a.
a*(a + 1)*(a + 4)
Factor -z**4/5 - 6*z**3/5 + 31*z**2/5 + 156*z/5 - 36.
-(z - 5)*(z - 1)*(z + 6)**2/5
Factor -2*q**4/7 - 122*q**3/7 - 170*q**2 + 3150*q.
-2*q*(q - 9)*(q + 35)**2/7
Let -4*s**5/3 - 161*s**4 - 14275*s**3/3 + 6161*s**2 - 3721*s/3 = 0. What is s?
-61, 0, 1/4, 1
Factor -2*f**2/5 + 246*f/5 + 248/5.
-2*(f - 124)*(f + 1)/5
Suppose y**3/4 - 13*y**2/2 + 48*y - 72 = 0. What is y?
2, 12
Factor 2*l**2 - 196*l + 4802.
2*(l - 49)**2
Determine p so that -6*p**5/5 - 9*p**4/5 + 3*p**2/5 = 0.
-1, 0, 1/2
Determine z, given that -5*z**2 + 80*z + 8085 = 0.
-33, 49
Solve -o**3/4 - 13*o**2/4 - 51*o/4 - 63/4 = 0.
-7, -3
Factor 5*y**2 + 35*y + 50.
5*(y + 2)*(y + 5)
Determine f so that 32*f**3/7 + 34*f**2/7 - 190*f/7 - 12/7 = 0.
-3, -1/16, 2
Factor 5*a**3 - 50*a**2 + 60*a + 360.
5*(a - 6)**2*(a + 2)
Solve 5*k**5 - 465*k**4 + 830*k**3 + 7290*k**2 - 835*k - 6825 = 0.
-3, -1, 1, 5, 91
Factor j**2 + 22*j - 104.
(j - 4)*(j + 26)
Factor -s**4 - 11*s**3 + 336*s**2 + 1444*s + 1472.
-(s - 16)*(s + 2)**2*(s + 23)
Find b, given that -7*b**4/6 + 9*b**3/2 - 8*b**2/3 - 6*b + 16/3 = 0.
-8/7, 1, 2
Suppose -m**5 + 33*m**4 + 154*m**3 - 186*m**2 - 1305*m - 999 = 0. What is m?
-3, -1, 3, 37
What is i in -25*i**3/4 + 135*i**2/4 - 45*i = 0?
0, 12/5, 3
Determine a so that 5*a**2/6 + 5*a + 15/2 = 0.
-3
Solve 8*b**4 - 20900*b**3 + 31336*b**2 - 10444*b = 0 for b.
0, 1/2, 1, 2611
Find y such that 4*y**3 - 152*y**2 + 292*y - 144 = 0.
1, 36
Factor 2*d**2/13 - 296*d + 142376.
2*(d - 962)**2/13
Factor a**4 + 11*a**3 + 22*a**2 - 60*a - 72.
(a - 2)*(a + 1)*(a + 6)**2
What is c in -c**4/4 + 4*c**3 + c**2/4 - 4*c = 0?
-1, 0, 1, 16
What is h in 98*h**3 + 1959*h**2/2 + 2445*h - 25/2 = 0?
-5, 1/196
Determine j, given that -10*j**3 + 2555*j**2 + 9050*j + 3885 = 0.
-3, -1/2, 259
Factor t**2/2 + 7*t - 15/2.
(t - 1)*(t + 15)/2
Find i, given that -3*i**5 + 57*i**4 - 99*i**3 - 57*i**2 + 102*i = 0.
-1, 0, 1, 2, 17
Determine z so that -2*z**5 - 38*z**4/3 - 38*z**3/9 + 698*z**2/9 + 440*z/9 - 968/9 = 0.
-11/3, -2, 1, 2
Let u**2/9 - 8*u/9 + 7/9 = 0. Calculate u.
1, 7
Let 7*b**4 - 54*b**3 - 317*b**2 + 684*b + 220 = 0. Calculate b.
-5, -2/7, 2, 11
Factor 20*n**2 + 5*n.
5*n*(4*n + 1)
Suppose -3*x**4/5 + 81*x**3/5 - 291*x**2/5 + 351*x/5 - 138/5 = 0. What is x?
1, 2, 23
Find b such that b**5 + 81*b**4/7 - 82*b**3/7 - 3852*b**2/7 - 12744*b/7 - 864 = 0.
-6, -4/7, 7
Suppose -25*q**5 + 505*q**4 - 534*q**3 - 676*q**2 - 152*q = 0. What is q?
-2/5, 0, 2, 19
Factor 10*g**5/13 + 24*g**4/13 + 14*g**3/13.
2*g**3*(g + 1)*(5*g + 