4*x**3 + 876039*x**2/2 + 1159323*x/4 - 238521/2 = 0.
-43, -1, 2/7
Determine v, given that v**2/3 + 1952*v/3 - 651 = 0.
-1953, 1
Factor -z**3/3 + 2*z**2/3 - z/3.
-z*(z - 1)**2/3
Factor -5*x**3 - 105*x**2 + 1080*x - 2320.
-5*(x - 4)**2*(x + 29)
Let -2*v**4/11 - 56*v**3/11 + 60*v**2/11 + 56*v/11 - 58/11 = 0. Calculate v.
-29, -1, 1
Let -2*q**4/3 - 34*q**3/3 - 28*q**2 = 0. Calculate q.
-14, -3, 0
Factor -2*q**2 - 46*q - 44.
-2*(q + 1)*(q + 22)
Find o such that o**3 - 117*o**2 + 4563*o - 59319 = 0.
39
Factor 4*u**3 - 4*u**2 - 36*u + 36.
4*(u - 3)*(u - 1)*(u + 3)
Factor -10*y**2/7 + 41316*y/7 + 16528/7.
-2*(y - 4132)*(5*y + 2)/7
Find i, given that i**4/5 - 21*i**3/5 + 32*i**2 - 528*i/5 + 128 = 0.
4, 5, 8
Factor -5*i**2 + 1060*i - 1055.
-5*(i - 211)*(i - 1)
Suppose -3*x**4 - 147*x**3 + 735*x**2 + 77175*x = 0. What is x?
-35, 0, 21
Suppose -2*t**4 + 200*t**3 - 580*t**2 - 200*t + 582 = 0. What is t?
-1, 1, 3, 97
Find k such that k**4 + 188*k**3 - 189*k**2 = 0.
-189, 0, 1
Factor -h**5/6 + h**3/3 - h/6.
-h*(h - 1)**2*(h + 1)**2/6
Solve u**3/2 + 55*u**2/2 + 127*u + 100 = 0 for u.
-50, -4, -1
Suppose 5*a**3 - 170*a**2 = 0. Calculate a.
0, 34
Determine r so that -18*r**5 - 996*r**4 - 14396*r**3 - 16312*r**2 + 15822*r - 2916 = 0.
-27, -2, 1/3
Let -2*t**3/5 + 18*t**2/5 - 8*t + 24/5 = 0. Calculate t.
1, 2, 6
Factor -2*d**3/3 + 68*d**2/3.
-2*d**2*(d - 34)/3
Solve 2*o**3/11 + 4*o**2 - 50*o/11 - 92/11 = 0 for o.
-23, -1, 2
Factor -c**2 - 83*c - 852.
-(c + 12)*(c + 71)
Factor -v**2/2 + 31*v/2 + 51.
-(v - 34)*(v + 3)/2
Let -2*i**3/13 - 4*i**2/13 + 14*i/13 - 8/13 = 0. Calculate i.
-4, 1
Factor 6*y**2 + 20*y - 26.
2*(y - 1)*(3*y + 13)
Suppose -8*b**4 + 4*b**3 + 39*b**2/2 + 17*b/2 + 1 = 0. Calculate b.
-1, -1/4, 2
Let 5*b**3 + 115*b**2 - 250*b = 0. What is b?
-25, 0, 2
Factor -5*w**3 + 1050*w**2 - 4140*w + 4120.
-5*(w - 206)*(w - 2)**2
Factor t**5/4 - 9*t**4/2 + 24*t**3 - 32*t**2.
t**2*(t - 8)**2*(t - 2)/4
Solve -4*c**4 + 712*c**3 - 2112*c**2 + 2104*c - 700 = 0.
1, 175
Factor -3*t**3 + 60*t**2 - 267*t + 210.
-3*(t - 14)*(t - 5)*(t - 1)
Factor 2*x**3/11 + 296*x**2/11 + 1022*x + 21316/11.
2*(x + 2)*(x + 73)**2/11
Solve 2*q**3 + 30*q**2 + 108*q + 80 = 0 for q.
-10, -4, -1
Factor 3*j**4 + 18*j**3 + 27*j**2 + 12*j.
3*j*(j + 1)**2*(j + 4)
Determine h so that 2*h**3 - 94*h**2 - 194*h - 98 = 0.
-1, 49
Solve 32*i**4/5 - 28*i**3 + 108*i**2/5 = 0 for i.
0, 1, 27/8
Let -4*l**5 + 56*l**4 - 97*l**3 - 361*l**2 - 259*l - 55 = 0. What is l?
-1, -1/2, 5, 11
Factor -4*f**2 + 64*f - 192.
-4*(f - 12)*(f - 4)
Factor 5618*a**4/15 + 44732*a**3/5 + 264582*a**2/5 - 30384*a/5 + 864/5.
2*(a + 12)**2*(53*a - 3)**2/15
Determine k so that -88*k**4 - 356*k**3 - 300*k**2 - 72*k = 0.
-3, -6/11, -1/2, 0
Find a, given that 2*a**2 + 82*a - 264 = 0.
-44, 3
Find g, given that 5*g**2 + 1900*g = 0.
-380, 0
Factor -196*i**3 - 7084*i**2 + 6180*i - 1332.
-4*(i + 37)*(7*i - 3)**2
Determine l so that 2*l**5 - 89*l**4/2 + 227*l**3 - 454*l**2 + 356*l - 64 = 0.
1/4, 2, 16
Determine m, given that -2*m**5/19 + 10*m**4/19 + 62*m**3/19 + 86*m**2/19 + 36*m/19 = 0.
-2, -1, 0, 9
Factor 4*v**2/3 + 472*v/3 + 13924/3.
4*(v + 59)**2/3
What is r in 4*r**4 - 44*r**2 - 72*r - 32 = 0?
-2, -1, 4
What is l in 2*l**4 - 10*l**3 + 10*l**2 + 10*l - 12 = 0?
-1, 1, 2, 3
Factor -2*q**4/7 + 2152*q**3/7 - 773280*q**2/7 + 13329056*q - 183530848/7.
-2*(q - 358)**3*(q - 2)/7
Find n, given that -5*n**2 + 105*n + 1160 = 0.
-8, 29
Suppose 5*c**3 + 70*c**2 - 5*c - 70 = 0. What is c?
-14, -1, 1
What is f in 3*f**4 + 42*f**3 - 51*f**2 - 90*f = 0?
-15, -1, 0, 2
Factor -2*p**4/7 - 22*p**3/7 - 52*p**2/7 - 32*p/7.
-2*p*(p + 1)*(p + 2)*(p + 8)/7
Let -196*t**4/3 - 1064*t**3/3 - 143*t**2 - 15*t = 0. Calculate t.
-5, -3/14, 0
Factor 2*v**3/3 + 8*v**2 - 56*v/3.
2*v*(v - 2)*(v + 14)/3
What is i in 2*i**5/3 + 40*i**4/3 + 58*i**3 - 304*i**2/3 - 440*i/3 = 0?
-11, -10, -1, 0, 2
Factor -3*p**4 - 27*p**3 - 81*p**2 - 93*p - 36.
-3*(p + 1)**2*(p + 3)*(p + 4)
Determine t so that t**2/4 + 176*t + 703/4 = 0.
-703, -1
Solve c**3 - 10*c**2 + 17*c - 8 = 0.
1, 8
Factor 2*s**4 + 12*s**3 - 108*s - 162.
2*(s - 3)*(s + 3)**3
Let -3*h**5/2 - 27*h**4 - 90*h**3 + 300*h**2 = 0. Calculate h.
-10, 0, 2
Factor 5*t**3 + 375*t**2 + 9375*t + 78125.
5*(t + 25)**3
Factor -3*w**2/2 + 411*w/2 - 204.
-3*(w - 136)*(w - 1)/2
Solve -3*x**3 + 270*x**2 - 6075*x = 0.
0, 45
Find d, given that -2*d**2/5 + 22*d/5 - 12 = 0.
5, 6
What is f in 2*f**2/5 + 26*f/5 - 28/5 = 0?
-14, 1
Factor -5*d**2 - 10*d + 15.
-5*(d - 1)*(d + 3)
What is c in c**4/4 + c**3/4 - c**2 - c = 0?
-2, -1, 0, 2
Determine t so that 2*t**2/5 + 8*t/5 + 8/5 = 0.
-2
Solve 2952*i**2/5 + i/5 = 0 for i.
-1/2952, 0
Suppose 3*r**5 + 216*r**4 + 5184*r**3 + 41472*r**2 = 0. What is r?
-24, 0
Factor 2*t**5 - 14*t**4 + 2*t**3 + 54*t**2 + 36*t.
2*t*(t - 6)*(t - 3)*(t + 1)**2
Solve -245*b**5 - 5495*b**4 + 28680*b**3 - 41480*b**2 + 17200*b - 2160 = 0 for b.
-27, 2/7, 2
Solve -5*x**5 - 1355*x**4 - 5370*x**3 - 8030*x**2 - 5345*x - 1335 = 0 for x.
-267, -1
Find n such that -33*n**2 - 651*n/4 + 45/4 = 0.
-5, 3/44
Let 2*q**3 + 38*q**2 + 224*q + 384 = 0. Calculate q.
-8, -3
Factor 2*s**3/9 + 112*s**2/3 - 338*s/9.
2*s*(s - 1)*(s + 169)/9
Factor 28*t**2 - 72*t.
4*t*(7*t - 18)
Suppose -8*d**2/7 + 44*d/7 + 304/7 = 0. What is d?
-4, 19/2
Determine c so that 2*c**2 - 192*c + 4608 = 0.
48
Factor -k**3/3 - 29*k**2/3 - 49*k - 69.
-(k + 3)**2*(k + 23)/3
Factor 2*u**2/11 - 468*u/11 - 1422/11.
2*(u - 237)*(u + 3)/11
Factor -2*q**2 + 68*q.
-2*q*(q - 34)
Factor 2645*i**4 - 37490*i**3 + 6460*i**2 - 280*i.
5*i*(i - 14)*(23*i - 2)**2
Suppose 2*b**3/3 - 74*b**2 + 2160*b - 5832 = 0. What is b?
3, 54
Factor -2*i**5/7 - 38*i**4/7 + 292*i**3/7 + 3820*i**2/7 - 34850*i/7 + 72250/7.
-2*(i - 5)**3*(i + 17)**2/7
Determine x so that 2*x**4/7 - 30*x**3/7 + 150*x**2/7 - 290*x/7 + 24 = 0.
1, 3, 4, 7
Factor -44*i**3/7 - 544*i**2/7 - 1776*i/7 - 576/7.
-4*(i + 6)**2*(11*i + 4)/7
Factor 2*x**2/7 + 564*x/7 + 160.
2*(x + 2)*(x + 280)/7
Determine h so that 3*h**2 + 57*h - 126 = 0.
-21, 2
What is m in -2*m**2 - 50*m - 92 = 0?
-23, -2
Factor -a**4 - 217*a**3 - 2070*a**2.
-a**2*(a + 10)*(a + 207)
Let -3*c**5 + 18*c**4 - 27*c**3 = 0. What is c?
0, 3
Find v, given that -12*v**5/7 + 58*v**4/7 - 86*v**3/7 + 32*v**2/7 + 8*v/7 = 0.
-1/6, 0, 1, 2
Solve -s**5 - 5*s**4 - s**3 + 17*s**2 + 22*s + 8 = 0 for s.
-4, -1, 2
Factor q**5/3 - 3407*q**4/3 + 3871486*q**3/3 - 1469868130*q**2/3 + 2928135425*q/3 - 1462135375/3.
(q - 1135)**3*(q - 1)**2/3
Factor -16*o**3 - 12*o**2 + 231*o/4 + 121/2.
-(o - 2)*(8*o + 11)**2/4
Solve 245*m**5 - 4130*m**4 - 605*m**3 + 170*m**2 = 0.
-2/7, 0, 1/7, 17
Find y such that 2*y**2/9 - 266*y/9 + 260/3 = 0.
3, 130
Factor 10*x**3 - 32*x**2 + 34*x - 12.
2*(x - 1)**2*(5*x - 6)
Factor -2*b**5/7 + 24*b**4/7 - 96*b**3/7 + 160*b**2/7 - 96*b/7.
-2*b*(b - 6)*(b - 2)**3/7
Determine x so that -4*x**5 + 96*x**4 - 864*x**3 + 3456*x**2 - 5184*x = 0.
0, 6
Factor r**4 + 93*r**3 + 2018*r**2 - 6720*r + 4608.
(r - 2)*(r - 1)*(r + 48)**2
Factor -2*o**4 - 28*o**3 - 90*o**2 + 112*o + 392.
-2*(o - 2)*(o + 2)*(o + 7)**2
Suppose -3*z**5 + 5*z**4/2 + 17*z**3/2 - 3*z**2/2 - 7*z/2 + 1 = 0. What is z?
-1, 1/3, 1/2, 2
Factor n**4 + 6*n**3 + 8*n**2.
n**2*(n + 2)*(n + 4)
Suppose -3*x**3/4 - 6231*x**2/4 - 809640*x - 808083 = 0. Calculate x.
-1038, -1
Factor -2*y**2/5 - 1228*y/5 + 246.
-2*(y - 1)*(y + 615)/5
Find j, given that 3*j**4/8 + 9*j**3/8 + 3*j**2/8 - 9*j/8 - 3/4 = 0.
-2, -1, 1
Suppose t**2 + 18*t + 56 = 0. What is t?
-14, -4
Factor 52*f**2 + 88*f + 36.
4*(f + 1)*(13*f + 9)
Factor 32*v**2 + 61*v - 6.
(v + 2)*(32*v - 3)
Factor -2*j**3 - 42*j**2 - 36*j + 80.
-2*(j - 1)*(j + 2)*(j + 20)
Let -r**4 + 9*r**3 - 23*r**2 + 15*r = 0. Calculate r.
0, 1, 3, 5
Factor j**2 - 93*j + 92.
(j - 92)*(j - 1)
Determine i, given that -1043*i**3 - 3434*i**2 - 917*i - 6 = 0.
-3, -2/7, -1/149
Factor -2*m**2/15 - 134*m/15 - 44/5.
-2*(m + 1)*(m + 66)/15
Factor -20*z**4/3 + 440*z**3/3 + 455*z**2/3 + 115*z/3.
-5*z*(z - 23)*(2*z + 1)**2/3
Factor c**2 - 420*c + 44100.
(c - 210)**2
Factor 3*f**2 + 42*f.
3*f*(f + 14)
Determine d so that -d**3 - 81*d**2 + 165*d - 83 = 0.
-83, 1
Let 3*j**2 + 24*j - 384 = 0. What is j?
-16, 8
Factor 605*o**3 - 2200*o**2 - 860*o - 80.
5*(o - 4)*(11*o + 2)**2
Let -2*k**5/3 + 26*k**4 - 96*k**3 + 280*k**2/3 = 0. W