0, 25
Factor 2*u**4 + 1696*u**3 + 539328*u**2 + 76225024*u + 4039926272.
2*(u + 212)**4
Let 5*x**2 - 100*x - 345 = 0. What is x?
-3, 23
Find h such that -2*h**2/3 + 1330*h/9 - 884/9 = 0.
2/3, 221
Factor -8*j**3 + 1086*j**2 + 272*j.
-2*j*(j - 136)*(4*j + 1)
Factor w**2/4 + 10*w.
w*(w + 40)/4
What is o in 20*o**5 + 112*o**4 - 268*o**3 - 1112*o**2 + 2480*o - 800 = 0?
-5, 2/5, 2
Factor 4*g**2/5 + 8*g + 64/5.
4*(g + 2)*(g + 8)/5
Solve f**3/5 - 47*f**2/5 + 46*f/5 = 0 for f.
0, 1, 46
Let -y**5 + 72*y**4 - 395*y**3 - 72*y**2 + 396*y = 0. Calculate y.
-1, 0, 1, 6, 66
Determine v so that 16*v**5 - 68*v**4 - 80*v**3 + 88*v**2 + 64*v - 20 = 0.
-1, 1/4, 1, 5
Let 20*o**5 + 105*o**4 + 145*o**3 + 30*o**2 = 0. What is o?
-3, -2, -1/4, 0
Determine n, given that -5*n**3/6 + 91*n**2/6 + 77*n/6 - 19/6 = 0.
-1, 1/5, 19
Suppose -2*v**2/3 + 212*v/3 - 416/3 = 0. Calculate v.
2, 104
Factor v**3/8 + 9*v**2/4 - 21*v/2 + 11.
(v - 2)**2*(v + 22)/8
Factor -4*s**2 + 124*s - 120.
-4*(s - 30)*(s - 1)
Factor 12*f**3 + 332*f**2 + 788*f - 300.
4*(f + 3)*(f + 25)*(3*f - 1)
Solve 2*i**4/13 + 6*i**3/13 - 2*i**2/13 - 6*i/13 = 0 for i.
-3, -1, 0, 1
What is x in -4*x**2 - 152*x + 672 = 0?
-42, 4
Determine d, given that d**4/6 + 53*d**3/6 - 59*d**2/6 - 91*d/2 - 27 = 0.
-54, -1, 3
Factor -2662*m**3 + 233772*m**2 - 6843144*m + 66772496.
-2*(11*m - 322)**3
Factor -2*w**3/7 - 212*w**2/7 - 5618*w/7.
-2*w*(w + 53)**2/7
Solve -5*p**5 + 35*p**4 + 85*p**3 - 315*p**2 - 360*p = 0.
-3, -1, 0, 3, 8
Factor a**2/6 - a/6.
a*(a - 1)/6
Solve -2*i**3 - 104*i**2/7 - 18*i - 36/7 = 0 for i.
-6, -1, -3/7
Factor 4*p**5 - 8*p**3 + 4*p.
4*p*(p - 1)**2*(p + 1)**2
Let -3*o**2 - 621*o = 0. What is o?
-207, 0
What is z in -108*z**3 - 6876*z**2 + 2301*z - 192 = 0?
-64, 1/6
Factor -o**2/3 - 7*o/3 + 98/3.
-(o - 7)*(o + 14)/3
Factor u**4 - 15*u**3 - 52*u**2 - 36*u.
u*(u - 18)*(u + 1)*(u + 2)
Determine h, given that h**4/4 + h**3/2 - h/2 - 1/4 = 0.
-1, 1
Let -2*x**2/9 + 4*x - 64/9 = 0. What is x?
2, 16
Factor -2*v**2/3 + 16*v - 88/3.
-2*(v - 22)*(v - 2)/3
Solve 3*k**5 - 12*k**4 + 9*k**3 + 12*k**2 - 12*k = 0 for k.
-1, 0, 1, 2
Factor 3*u**2 + 1275*u + 2538.
3*(u + 2)*(u + 423)
What is w in -w**5 + 13*w**4 - 51*w**3 + 35*w**2 + 100*w = 0?
-1, 0, 4, 5
What is t in -4*t**4 + 80*t**3 - 148*t**2 + 72*t = 0?
0, 1, 18
Find k, given that k**3 + 2*k**2 - 21*k + 18 = 0.
-6, 1, 3
Factor 5*o**2 - 7065*o - 7070.
5*(o - 1414)*(o + 1)
Let -2*c**3 - 80*c**2/3 + 626*c/3 - 380/3 = 0. Calculate c.
-19, 2/3, 5
Suppose 4*o**2 + 4*o = 0. What is o?
-1, 0
Factor 2*y**3/7 - 16*y**2/7 + 2*y.
2*y*(y - 7)*(y - 1)/7
Factor -2*w**3/5 + 108*w**2/5 - 102*w/5 - 212/5.
-2*(w - 53)*(w - 2)*(w + 1)/5
Suppose -14*l**2/3 + 4*l/3 = 0. What is l?
0, 2/7
Suppose -z**2/2 + 11*z/2 - 14 = 0. Calculate z.
4, 7
Factor 2*v**3/5 - 12*v**2/5 - 38*v/5 + 48/5.
2*(v - 8)*(v - 1)*(v + 3)/5
What is o in 4*o**3/7 - 12*o**2/7 - 40*o/7 = 0?
-2, 0, 5
Determine v so that v**4/2 - 11*v**3/2 + 33*v**2/2 - 5*v/2 - 25 = 0.
-1, 2, 5
Solve k**3 + 8*k**2 + 16*k = 0 for k.
-4, 0
Find x such that 5*x**4 + 35*x**3 - 195*x**2 - 475*x - 250 = 0.
-10, -1, 5
Suppose -6*r**2 + 4155*r/7 + 297/7 = 0. Calculate r.
-1/14, 99
Factor -s**2/7 - 303*s/7 + 304/7.
-(s - 1)*(s + 304)/7
Determine y, given that y**2 + 718*y + 128881 = 0.
-359
Determine b so that 4*b**2 - 124*b - 1640 = 0.
-10, 41
Solve -o**2/3 + 10*o + 31/3 = 0 for o.
-1, 31
Factor -2*l**3/21 - 986*l**2/21 - 560*l/3 - 1304/7.
-2*(l + 2)**2*(l + 489)/21
What is b in 16*b**5/19 - 42*b**4/19 - 82*b**3/19 - 24*b**2/19 = 0?
-1, -3/8, 0, 4
What is d in 72*d**5/5 - 232*d**4/5 + 282*d**3/5 - 32*d**2 + 42*d/5 - 4/5 = 0?
2/9, 1/2, 1
Let 5*l**4/4 + 133*l**3/4 + 79*l**2 + 23*l - 24 = 0. Calculate l.
-24, -2, -1, 2/5
Factor -2*l**5/3 + 96*l**4 - 4030*l**3 + 118300*l**2/3.
-2*l**2*(l - 65)**2*(l - 14)/3
Factor -3*d**2 - 117*d - 1104.
-3*(d + 16)*(d + 23)
Factor -t**3/4 - 2*t**2 + 61*t/4 - 13.
-(t - 4)*(t - 1)*(t + 13)/4
Solve 2*b**2 + 1408*b + 247808 = 0 for b.
-352
Factor d**5 + 7*d**4 - 17*d**3 - 99*d**2 + 216*d - 108.
(d - 3)*(d - 1)**2*(d + 6)**2
Find w such that 625*w**3/4 + 2475*w**2/2 - 399*w/4 + 2 = 0.
-8, 1/25
Determine u so that -2*u**4/7 - 46*u**3/7 - 6*u**2 + 46*u/7 + 44/7 = 0.
-22, -1, 1
Factor -2048*t**3 - 57600*t**2 - 540000*t - 1687500.
-4*(8*t + 75)**3
Solve 4*a**2 - 528*a = 0.
0, 132
Let 20*v**4 - 3652*v**3 + 221796*v**2 - 4450316*v - 1815848 = 0. What is v?
-2/5, 61
What is l in -117*l**4/2 - 357*l**3/2 + 1035*l**2/2 - 531*l/2 - 15 = 0?
-5, -2/39, 1
What is k in 4*k**2 + 2504*k + 391876 = 0?
-313
Factor 4*h**4/7 + 1080*h**3/7 + 70692*h**2/7 - 300304*h/7.
4*h*(h - 4)*(h + 137)**2/7
Solve -5*h**2 + 90*h - 280 = 0.
4, 14
Solve -5*m**4 - 10*m**3 - 5*m**2 = 0 for m.
-1, 0
Factor 2*n**3 + 4*n**2 - 16*n.
2*n*(n - 2)*(n + 4)
What is g in -g**2/4 - 17*g - 289 = 0?
-34
Determine x, given that 4*x**3/5 - 8*x**2 + 28*x/5 + 72/5 = 0.
-1, 2, 9
Suppose -2*l**3/5 - 18*l**2/5 + 48*l + 256/5 = 0. Calculate l.
-16, -1, 8
Let 242*p**2/3 - 3784*p/3 + 14792/3 = 0. Calculate p.
86/11
Factor 5*j**5 - 50*j**4 + 120*j**3 + 50*j**2 - 125*j.
5*j*(j - 5)**2*(j - 1)*(j + 1)
Factor 2*v**4/7 - 32*v**3/7 + 120*v**2/7 + 128*v/7 - 512/7.
2*(v - 8)**2*(v - 2)*(v + 2)/7
Factor -l**5 - 13*l**4 - 57*l**3 - 99*l**2 - 54*l.
-l*(l + 1)*(l + 3)**2*(l + 6)
Solve -2*g**3/7 + 88*g**2/7 - 328*g/7 + 320/7 = 0.
2, 40
Determine z so that -z**3/7 + 8*z**2/7 - 13*z/7 + 6/7 = 0.
1, 6
Let 4*g**3/7 + 472*g**2/7 + 13924*g/7 = 0. Calculate g.
-59, 0
Factor 2*w**3/3 - 68*w**2/3 + 168*w + 432.
2*(w - 18)**2*(w + 2)/3
Let -4*z**4 + 24*z**3 + 220*z**2 = 0. What is z?
-5, 0, 11
Factor -q**3/5 + 9*q**2/5 + 21*q/5 + 11/5.
-(q - 11)*(q + 1)**2/5
Factor 5*w**3/3 - 5372*w**2/3 + 481331*w - 192246.
(w - 537)**2*(5*w - 2)/3
Suppose 3*n**2 + 120*n + 117 = 0. Calculate n.
-39, -1
Solve 3*p**2/4 - 117*p + 4563 = 0 for p.
78
Suppose 5*o**5 + 310*o**4 + 890*o**3 + 280*o**2 - 895*o - 590 = 0. Calculate o.
-59, -2, -1, 1
Suppose 3*r**4/5 - 21*r**3/5 + 18*r**2/5 = 0. What is r?
0, 1, 6
Factor -3*t**3/2 - 21*t**2 - 87*t/2 + 66.
-3*(t - 1)*(t + 4)*(t + 11)/2
Factor c**5/5 + c**4 - 11*c**3/5 - 33*c**2/5 - 18*c/5.
c*(c - 3)*(c + 1)**2*(c + 6)/5
Determine x, given that -3*x**2 + 24*x = 0.
0, 8
What is g in -g**3/5 + 2364*g**2/5 - 1862832*g/5 + 489303872/5 = 0?
788
Factor -2*z**5/5 - 12*z**4/5 - 24*z**3/5 - 4*z**2 - 6*z/5.
-2*z*(z + 1)**3*(z + 3)/5
Factor -k**3/4 + k**2/2 + 6*k.
-k*(k - 6)*(k + 4)/4
Factor -s**2 - 621*s - 620.
-(s + 1)*(s + 620)
What is l in -33*l**2/7 - 164*l/7 + 5/7 = 0?
-5, 1/33
Factor 2*c**2/9 - 2*c/9.
2*c*(c - 1)/9
Factor -h**4 + 392*h**3 - 2328*h**2 + 4640*h - 3088.
-(h - 386)*(h - 2)**3
Determine t so that -3*t**4/4 + 3*t**3 + 21*t**2/2 - 27*t - 135/4 = 0.
-3, -1, 3, 5
Factor -5*a**4 - 3445*a**3 + 13860*a**2.
-5*a**2*(a - 4)*(a + 693)
Factor 3*z**2 + 66*z + 63.
3*(z + 1)*(z + 21)
Determine j so that 2*j**3/15 - 22*j**2/15 + 4*j/3 = 0.
0, 1, 10
What is v in v**2/8 - 35*v/8 + 33/4 = 0?
2, 33
Factor r**3/2 - 11*r**2/3 + 43*r/6 - 2.
(r - 4)*(r - 3)*(3*r - 1)/6
Factor 4*m**4 - 10*m**3 - 2*m**2 + 12*m.
2*m*(m - 2)*(m + 1)*(2*m - 3)
Factor 11*u**3/5 + 24*u**2/5 - 29*u/5 - 6/5.
(u - 1)*(u + 3)*(11*u + 2)/5
Suppose -56*v**5 - 498*v**4 - 1600*v**3 - 2128*v**2 - 768*v + 352 = 0. Calculate v.
-22/7, -2, 1/4
Factor -2*r**5/5 - 22*r**4/5 - 36*r**3/5.
-2*r**3*(r + 2)*(r + 9)/5
Determine h, given that -3*h**2/4 - 585*h/2 - 582 = 0.
-388, -2
Factor -98*g**4/15 + 4256*g**3/15 - 14992*g**2/5 - 26752*g/15 - 3872/15.
-2*(g - 22)**2*(7*g + 2)**2/15
Determine d so that -3*d**5/2 - 19*d**4/4 - 11*d**3/2 - 11*d**2/4 - d/2 = 0.
-1, -2/3, -1/2, 0
Factor 4*t**4 - 104*t**3 + 436*t**2 - 336*t.
4*t*(t - 21)*(t - 4)*(t - 1)
Factor -3*f**5/5 + 12*f**4/5 - 3*f**3 + 6*f**2/5.
-3*f**2*(f - 2)*(f - 1)**2/5
Factor p**2 - 595*p + 1186.
(p - 593)*(p - 2)
Factor -2*y**2 + 260*y + 262.
-2*(y - 131)*(y + 1)
Factor 2*f**3/9 - 106*f**2/3 + 1456*f - 4056.
2*(f - 78)**2*(f - 3)/9
Factor 3*u**3 - 15*u**2 - 99*u - 81.
3*(u - 9)*(u + 1)*(u + 3)
Factor -5*q**3/7 + 27*q**2/7 - 30*q/7 + 8/7.
-(q - 4)*(q - 1)*(5*q - 2)/7
Factor 4*s**2 - 548*s.
4*s*(s - 137)
Suppose 4*c**5 - 16*c**4 - 4*c**3 + 16*c**2 = 0. Calculate c.
-1, 0, 1, 4
Determine k so that k**2 + 11*k - 312 = 0.
-24, 13
Let 768*a**5/5 + 3552*a**4 + 2211*a**3/5 + 69*a**2/5 = 0. Cal