**4 - 114*k**3 + 4080*k**2 - 35200*k - 384000 = 0. Calculate k.
-6, 40
Solve -2*b**2/5 - 54*b/5 - 184/5 = 0 for b.
-23, -4
Let -3*l**5/5 + 13*l**4/5 + 23*l**3/5 - 57*l**2/5 - 44*l/5 + 4 = 0. Calculate l.
-2, -1, 1/3, 2, 5
Factor -20*i**3 - 248*i**2 - 96*i.
-4*i*(i + 12)*(5*i + 2)
Suppose 2*t**2 + 30*t - 32 = 0. Calculate t.
-16, 1
Factor 2*f**2/11 - 26*f/11.
2*f*(f - 13)/11
Factor -i**3 - 69*i**2 + 985*i + 1053.
-(i - 13)*(i + 1)*(i + 81)
Let 2*s**5 - 80*s**4 + 1114*s**3 - 6028*s**2 + 9024*s - 4032 = 0. Calculate s.
1, 12, 14
Factor 4*q**2 - 240*q + 2816.
4*(q - 44)*(q - 16)
Factor 4*d**3 + 20*d**2 - 312*d + 288.
4*(d - 6)*(d - 1)*(d + 12)
Factor 3*i**3/2 + 96*i**2 - 831*i/2 - 510.
3*(i - 5)*(i + 1)*(i + 68)/2
Solve 9*q**4/2 - 43*q**3/2 + 17*q**2/2 + 87*q/2 + 9 = 0.
-1, -2/9, 3
Factor i**2 - 65*i + 550.
(i - 55)*(i - 10)
Let 4*y**5/7 + 32*y**4/7 + 76*y**3/7 + 32*y**2/7 - 80*y/7 - 64/7 = 0. What is y?
-4, -2, -1, 1
Factor a**2 - 348*a.
a*(a - 348)
Let -7*z**5/6 + 3*z**4/2 + 2*z**3 - 2*z**2/3 = 0. Calculate z.
-1, 0, 2/7, 2
Factor 4*k**2 + 8052*k.
4*k*(k + 2013)
Find x, given that 3*x**2 - 1539*x + 1536 = 0.
1, 512
Solve -f**2 + 116*f = 0.
0, 116
What is p in 2*p**5/11 - 64*p**4/11 + 416*p**3/11 - 768*p**2/11 = 0?
0, 4, 24
Determine d, given that 2*d**3 + 104*d**2 + 202*d + 100 = 0.
-50, -1
What is z in z**4/3 - 2*z**3/3 - 19*z**2/3 + 68*z/3 - 20 = 0?
-5, 2, 3
Factor 5*t**3 - 1800*t**2 + 162000*t.
5*t*(t - 180)**2
What is n in 175*n**3/2 - 855*n**2/2 + 325*n - 60 = 0?
2/7, 3/5, 4
What is m in 25*m**5 - 415*m**4 + 2005*m**3 - 1405*m**2 - 5810*m - 1960 = 0?
-1, -2/5, 4, 7
Factor -5*q**2/3 + 55*q + 170/3.
-5*(q - 34)*(q + 1)/3
Factor a**3/4 - 29*a**2/4 - 105*a/2.
a*(a - 35)*(a + 6)/4
Solve 35*u**5 + 45*u**4 - 165*u**3 + 55*u**2 + 30*u = 0 for u.
-3, -2/7, 0, 1
Determine b so that b**3 - 100*b**2 + 564*b = 0.
0, 6, 94
Solve -18*z**3 - 332*z**2 + 576*z + 320 = 0.
-20, -4/9, 2
Solve x**2/4 - 617*x/2 + 380689/4 = 0.
617
Factor -8*g**3 + 42*g**2 - 10*g.
-2*g*(g - 5)*(4*g - 1)
Factor 3*t**2 + 183*t + 2790.
3*(t + 30)*(t + 31)
Solve -c**5 - 19*c**4 + 47*c**3 + 99*c**2 - 126*c = 0.
-21, -2, 0, 1, 3
Find u, given that -10*u**4 + 104*u**3 - 360*u**2 + 448*u - 128 = 0.
2/5, 2, 4
Determine k so that 5*k**2 - 520*k + 13520 = 0.
52
Solve 300*p**5 + 60*p**4 + 3*p**3 = 0 for p.
-1/10, 0
Factor 2*y**3 - 6*y**2.
2*y**2*(y - 3)
Suppose 14*p**5/3 + 32*p**4/3 - 370*p**3/3 - 36*p**2 + 504*p + 144 = 0. What is p?
-6, -2, -2/7, 3
Factor -l**4/2 + 806*l**3 - 325623*l**2 + 648830*l - 648025/2.
-(l - 805)**2*(l - 1)**2/2
Suppose v**4/5 - 133*v**3/5 + 4353*v**2/5 + 4757*v/5 - 8978/5 = 0. What is v?
-2, 1, 67
Factor -10*r**3 + 3394*r**2 + 5464*r - 2728.
-2*(r - 341)*(r + 2)*(5*r - 2)
Factor -20*r**3 - 555*r**2 - 3780*r + 980.
-5*(r + 14)**2*(4*r - 1)
Factor 2*p**2/9 - 2516*p/9 + 791282/9.
2*(p - 629)**2/9
Find q, given that -2*q**4/11 + 1182*q**3/11 - 176404*q**2/11 + 520968*q/11 - 345744/11 = 0.
1, 2, 294
Determine h so that h**3 - 70*h**2 + 137*h - 68 = 0.
1, 68
Factor -2*u**3/9 + 40*u**2 - 5950*u/3 + 144500/9.
-2*(u - 85)**2*(u - 10)/9
Factor 5*c**4 - 35*c**3 - 5*c**2 + 35*c.
5*c*(c - 7)*(c - 1)*(c + 1)
Factor -3*r**2/4 + 117*r/4 - 57/2.
-3*(r - 38)*(r - 1)/4
Factor -j**4/11 + 8*j**3/11 - 18*j**2/11 + 16*j/11 - 5/11.
-(j - 5)*(j - 1)**3/11
Find n such that -2*n**5 + 20*n**3 - 18*n = 0.
-3, -1, 0, 1, 3
Factor -4*f**2 + 1584*f + 4788.
-4*(f - 399)*(f + 3)
Let -2*m**3/3 + 28*m**2/3 - 130*m/3 + 200/3 = 0. What is m?
4, 5
Suppose 2*q**4/17 + 294*q**3/17 + 1154*q**2/17 + 1434*q/17 + 572/17 = 0. What is q?
-143, -2, -1
Factor -2*s**3/7 + 18*s**2/7 - 52*s/7 + 48/7.
-2*(s - 4)*(s - 3)*(s - 2)/7
Factor -2*h**5 + 16*h**4 - 36*h**3 + 32*h**2 - 10*h.
-2*h*(h - 5)*(h - 1)**3
Determine h, given that -4*h**5 - 42*h**4 - 130*h**3 - 84*h**2 + 80*h = 0.
-5, -4, -2, 0, 1/2
Factor i**4/2 + 4*i**3 + 7*i**2/2.
i**2*(i + 1)*(i + 7)/2
Determine x so that 2*x**4/7 - 18*x**3/7 + 8*x**2 - 72*x/7 + 32/7 = 0.
1, 2, 4
Solve 5*y**4 - 230*y**3 - 475*y**2 - 240*y = 0.
-1, 0, 48
Find u, given that 3*u**5/2 + 1473*u**4/2 + 117969*u**3 + 5722923*u**2 - 142484901*u/2 - 153696279/2 = 0.
-167, -1, 11
Factor -3*b**3 - 51*b**2 - 48*b.
-3*b*(b + 1)*(b + 16)
Factor 3*n**2/5 - 2364*n/5 + 465708/5.
3*(n - 394)**2/5
Factor -2*q**4 - 8*q**3 - 10*q**2 - 4*q.
-2*q*(q + 1)**2*(q + 2)
Factor -j**3/2 + 53*j**2/2 + 109*j/2 + 55/2.
-(j - 55)*(j + 1)**2/2
Factor -3*b**2 - 21702*b - 39248067.
-3*(b + 3617)**2
Factor 3*h**2 + 21012*h + 36792012.
3*(h + 3502)**2
Factor -w**4/7 - 6*w**3/7 + 15*w**2/7 - 8*w/7.
-w*(w - 1)**2*(w + 8)/7
Find k, given that -k**5/2 - 13*k**4/4 - k**3/4 + 7*k**2 - 3*k = 0.
-6, -2, 0, 1/2, 1
Let -2*r**4 + 2*r**3 + 20*r**2 + 16*r = 0. Calculate r.
-2, -1, 0, 4
Let -2*g**2 - 1228*g - 2448 = 0. What is g?
-612, -2
Factor -2*j**3/15 + 1662*j**2/5 - 1381122*j/5 + 382570794/5.
-2*(j - 831)**3/15
Factor w**2/4 + 4*w + 16.
(w + 8)**2/4
Let -50*z**5/9 + 1060*z**4/9 - 2378*z**3/9 - 36224*z**2/9 - 27560*z/9 - 5408/9 = 0. Calculate z.
-4, -2/5, 13
Factor 2*l**2/3 - 2704*l/3 + 913952/3.
2*(l - 676)**2/3
Factor g**5 + 6*g**4 - 24*g**3 - 80*g**2 + 336*g - 288.
(g - 2)**3*(g + 6)**2
Determine h, given that 4*h**4/13 - 2*h**3 + 46*h**2/13 - 6*h/13 - 18/13 = 0.
-1/2, 1, 3
Find o such that -172*o**2/3 + 60*o - 8/3 = 0.
2/43, 1
Factor 5*k**2 + 220*k - 225.
5*(k - 1)*(k + 45)
Factor -c**3/7 - 13*c**2 - 519*c/7 - 765/7.
-(c + 3)**2*(c + 85)/7
Factor -d**2/5 - 12*d - 180.
-(d + 30)**2/5
Let 2*r**5/3 - 8*r**4 + 32*r**3 - 160*r**2/3 + 32*r = 0. Calculate r.
0, 2, 6
Determine j so that -2*j**2/3 + 44*j - 130/3 = 0.
1, 65
Factor -5*s**3 - 1265*s**2 - 79375*s + 80645.
-5*(s - 1)*(s + 127)**2
Suppose n**4/2 - 25*n**3/2 + 34*n**2 - 22*n = 0. What is n?
0, 1, 2, 22
Solve b**2/10 - 9*b/2 + 162/5 = 0.
9, 36
Factor -9*n**3 + 228*n**2 - 75*n.
-3*n*(n - 25)*(3*n - 1)
Factor -675*x**5/2 - 585*x**4 + 1077*x**3/8 + 4311*x**2/8 + 171*x/8 - 1083/8.
-3*(x + 1)**3*(30*x - 19)**2/8
Factor 4*r**3 + 36*r**2 + 92*r + 60.
4*(r + 1)*(r + 3)*(r + 5)
Factor 2*u**3/9 + 46*u**2/9 + 28*u/3.
2*u*(u + 2)*(u + 21)/9
Factor -5*y**4/3 + 55*y**3/3 - 155*y**2/3 + 35*y.
-5*y*(y - 7)*(y - 3)*(y - 1)/3
Solve -2*a**4 - 8*a**3 + 96*a**2 + 640*a + 1024 = 0 for a.
-4, 8
Suppose 3*a**2 - 11910*a + 11820675 = 0. What is a?
1985
Solve q**2 - 307*q + 1510 = 0.
5, 302
Solve f**5 - 6*f**4 + 10*f**3 - 11*f + 6 = 0.
-1, 1, 2, 3
Factor j**5 + 4*j**4 - 2*j**3 - 8*j**2 + j + 4.
(j - 1)**2*(j + 1)**2*(j + 4)
What is h in 21*h**4/4 - 423*h**3/2 + 219*h**2/4 + 423*h/2 - 60 = 0?
-1, 2/7, 1, 40
Factor -2*d**3/19 - 10*d**2/19 + 88*d/19 - 120/19.
-2*(d - 3)*(d - 2)*(d + 10)/19
Suppose k**2 + 35*k + 264 = 0. Calculate k.
-24, -11
Solve -7*j**5/4 + 23*j**4/4 + 309*j**3/4 + 449*j**2/4 + 49*j/2 - 18 = 0 for j.
-4, -1, 2/7, 9
Determine k, given that -k**3 - 25*k**2 + 25*k + 625 = 0.
-25, -5, 5
Factor -v**2 - 1460*v - 532900.
-(v + 730)**2
Let 4*a**4 + 1736*a**3 - 5232*a**2 + 5240*a - 1748 = 0. What is a?
-437, 1
Find m, given that m**4/4 + 457*m**3/2 + 52212*m**2 - 457*m/2 - 208849/4 = 0.
-457, -1, 1
Solve -4*n**4/5 + 64*n**3/5 - 116*n**2/5 + 56*n/5 = 0.
0, 1, 14
Factor -u**4/6 - 11*u**3/6 + 7*u**2/3 + 4*u.
-u*(u - 2)*(u + 1)*(u + 12)/6
Solve -m**2 - 107*m + 1968 = 0 for m.
-123, 16
Find j, given that 72*j**4 + 552*j**3 + 674*j**2 - 272*j + 24 = 0.
-6, -2, 1/6
Factor -3*s**2 + 733*s - 244.
-(s - 244)*(3*s - 1)
Find k, given that -k**2/8 + 17*k/2 + 69/8 = 0.
-1, 69
Determine g, given that g**2/5 - 2684*g/5 + 1800964/5 = 0.
1342
Factor -3*f**4/8 + 3513*f**3/4 - 4099647*f**2/8 - 4120749*f/2 - 4127787/2.
-3*(f - 1173)**2*(f + 2)**2/8
Suppose -4*h**4/9 + 208*h**3/3 - 2704*h**2 = 0. Calculate h.
0, 78
Factor 3*b**2/5 - 3*b/5 - 36/5.
3*(b - 4)*(b + 3)/5
Factor -6*g**3 - 22*g**2 - 12*g.
-2*g*(g + 3)*(3*g + 2)
Factor n**2/4 - 469*n/2.
n*(n - 938)/4
What is x in -x**5/3 - 6*x**4 - 24*x**3 - 94*x**2/3 - 13*x = 0?
-13, -3, -1, 0
Factor 2*i**4/9 + 34*i**3/9 + 70*i**2/3 + 550*i/9 + 500/9.
2*(i + 2)*(i + 5)**3/9
What is s in 3*s**5/5 + 33*s**4/5 + 117*s**3/5 + 183*s**2/5 + 132*s/5 + 36/5 = 0?
-6, -2, -1
Let 3*c**3 - 33*c**2 + 21*c + 441 = 0. Calculate c.
-3, 7
What is z in -3*z**3/8 + 111*z**2/8 + 93*z/2 - 60 = 0?
-4, 1, 40
Suppose o**4/2 - 11*o**3/2 + 15*o**2/2 + 27*o/2 = 0. Calculate o.
-1, 0, 3, 9
Find 