0*u**5 - 62*u**4 + 132*u**3 - 104*u**2 + 16*u.
2*u*(u - 2)**3*(5*u - 1)
Factor n**2/12 + 151*n/12 + 213/2.
(n + 9)*(n + 142)/12
Let 3*d**2/7 + 576*d/7 + 27648/7 = 0. What is d?
-96
What is k in -2*k**5/3 + 32*k**4/3 + 82*k**3/3 - 656*k**2 - 672*k = 0?
-7, -1, 0, 12
Factor -24*d**4/5 - 57*d**3/5 - 42*d**2/5 - 9*d/5.
-3*d*(d + 1)**2*(8*d + 3)/5
Determine w so that 9826*w**4/7 + 124270*w**3/7 - 44676*w**2/7 + 5288*w/7 - 208/7 = 0.
-13, 2/17
Factor -5*l**2 - 720*l - 25920.
-5*(l + 72)**2
Find n, given that -26*n**4/9 + 12*n**3 + 10*n**2/9 - 12*n + 16/9 = 0.
-1, 2/13, 1, 4
Let -5*h**2/3 + 3043*h/9 + 406/9 = 0. What is h?
-2/15, 203
Determine o, given that -4*o**2/9 + 8128*o/3 - 4129024 = 0.
3048
Factor -27*l**2/4 + 57*l/4 + 21.
-3*(l + 1)*(9*l - 28)/4
Factor p**3/3 + 175*p**2 + 30625*p + 5359375/3.
(p + 175)**3/3
Factor -2*d**4/7 + 12*d**3/7 + 38*d**2/7 - 24*d.
-2*d*(d - 7)*(d - 3)*(d + 4)/7
Find x, given that -x**4/4 + 13*x**3/4 + 29*x**2/4 + 15*x/4 = 0.
-1, 0, 15
Let -8*o**5/3 + 8*o**4 - 2*o**3/3 - 8*o**2 - 8*o/3 = 0. What is o?
-1/2, 0, 2
Factor 4*x**3/7 - 26*x**2/7 + 32*x/7 - 10/7.
2*(x - 5)*(x - 1)*(2*x - 1)/7
Factor -5*f**2 + 55*f + 60.
-5*(f - 12)*(f + 1)
Factor -2*y**2/3 + 480*y - 1438/3.
-2*(y - 719)*(y - 1)/3
Factor 2*h**4/9 - 34*h**3/9 + 184*h**2/9 - 320*h/9.
2*h*(h - 8)*(h - 5)*(h - 4)/9
Find j, given that j**5/5 - 12*j**4/5 - 8*j**3 + 416*j**2/5 + 336*j + 320 = 0.
-4, -2, 10
Factor -42*u**4 + 75*u**3 + 18*u**2.
-3*u**2*(u - 2)*(14*u + 3)
Let 2*a**2 - 450*a = 0. Calculate a.
0, 225
Solve 2*i**3/7 + 6*i**2 + 240*i/7 + 200/7 = 0.
-10, -1
Suppose 2*n**3 + 66*n**2 - 536*n + 960 = 0. What is n?
-40, 3, 4
Factor 2*o**2/5 - 14*o + 132/5.
2*(o - 33)*(o - 2)/5
Find l, given that l**3 + 6*l**2 - 157*l + 510 = 0.
-17, 5, 6
What is d in -2*d**3/7 - 150*d**2/7 + 156*d/7 + 304/7 = 0?
-76, -1, 2
Suppose m**4/4 + 9*m**3 + 51*m**2/2 + 25*m + 33/4 = 0. Calculate m.
-33, -1
Factor 2*r**3/5 - 52*r**2/5 + 10*r.
2*r*(r - 25)*(r - 1)/5
Suppose -5*d**2/4 + 45 = 0. What is d?
-6, 6
Factor -4*w**3 + 312*w**2 + 16*w - 1248.
-4*(w - 78)*(w - 2)*(w + 2)
Factor -2*q**2 - 5644*q - 3981842.
-2*(q + 1411)**2
Factor 2*w**2/5 - 1104*w/5 + 152352/5.
2*(w - 276)**2/5
Suppose -2*t**5 + 10*t**4 - 12*t**3 = 0. Calculate t.
0, 2, 3
Determine y, given that 4*y**2/3 + 4*y/3 - 16 = 0.
-4, 3
Find j, given that -2*j**4 - 2*j**3 + 118*j**2 + 498*j + 540 = 0.
-5, -3, -2, 9
Factor 15*z**3 + 175*z**2 - 1680*z + 540.
5*(z - 6)*(z + 18)*(3*z - 1)
What is k in -k**3/3 - 25*k**2/3 - 187*k/3 - 121 = 0?
-11, -3
Factor 6*g**5/5 - 12*g**4 + 204*g**3/5 - 312*g**2/5 + 222*g/5 - 12.
6*(g - 5)*(g - 2)*(g - 1)**3/5
Determine q, given that -q**2/11 - 50*q/11 + 336/11 = 0.
-56, 6
Solve -2*o**4/3 + 46*o**3/3 + 2*o**2/3 - 46*o/3 = 0 for o.
-1, 0, 1, 23
Solve o**4/5 - 10*o**3 + 47*o**2/5 + 98*o/5 = 0 for o.
-1, 0, 2, 49
Determine a so that 5*a**4 + 5*a**3 - 225*a**2 - 945*a - 1080 = 0.
-3, 8
Find m, given that -92*m**4 - 100*m**3 + 452*m**2 - 236*m - 24 = 0.
-3, -2/23, 1
Find y such that 4*y**4/9 - 184*y**3/3 + 436*y**2 + 115920*y + 1587600 = 0.
-21, 90
Solve t**3/2 - 6*t**2 + 18*t = 0 for t.
0, 6
Factor 2*o**3/7 + 10*o**2/7 - 26*o/7 + 2.
2*(o - 1)**2*(o + 7)/7
What is f in 2*f**2/5 - 8*f/5 - 192/5 = 0?
-8, 12
Factor -3*s**5 + 21*s**4 + 6*s**3 - 138*s**2 - 195*s - 75.
-3*(s - 5)**2*(s + 1)**3
Factor -2*z**5/11 + 26*z**4/11 + 58*z**3/11 + 30*z**2/11.
-2*z**2*(z - 15)*(z + 1)**2/11
Factor 3*q**2/4 - 33*q/4.
3*q*(q - 11)/4
Determine f so that 2*f**5 - 44*f**4 - 50*f**3 + 92*f**2 = 0.
-2, 0, 1, 23
Find n such that 2*n**2/7 + 50*n/7 + 200/7 = 0.
-20, -5
Factor 5*h**3 + 115*h**2 - 565*h - 675.
5*(h - 5)*(h + 1)*(h + 27)
Factor -2*l**3/3 - 2*l**2 + 1052*l/3 + 352.
-2*(l - 22)*(l + 1)*(l + 24)/3
Find g such that -50*g**4/7 + 7860*g**3/7 - 305738*g**2/7 - 248376*g/7 - 49928/7 = 0.
-2/5, 79
Let -2*i**2 - 20*i = 0. Calculate i.
-10, 0
Solve 3*c**4/7 + 15*c**3/7 + 3*c**2 + 9*c/7 = 0 for c.
-3, -1, 0
Factor -a**3/6 + 5*a**2/6 + 43*a/3 - 60.
-(a - 10)*(a - 4)*(a + 9)/6
Factor -4*b**2/9 - 124*b/9.
-4*b*(b + 31)/9
Factor -o**3/6 + 16*o**2/3 + 115*o/6 - 175/3.
-(o - 35)*(o - 2)*(o + 5)/6
Factor -5*g**4 + 45*g**3 + 15*g**2 - 145*g + 90.
-5*(g - 9)*(g - 1)**2*(g + 2)
Factor -3*p**3/7 - 2385*p**2/7 + 12*p/7 + 9540/7.
-3*(p - 2)*(p + 2)*(p + 795)/7
Determine j, given that -4*j**5/9 - 8*j**4/9 + 8*j**2/9 + 4*j/9 = 0.
-1, 0, 1
Suppose -14*i**4 + 326*i**3 - 694*i**2 + 466*i - 84 = 0. What is i?
2/7, 1, 21
Determine n so that n**5/2 - 31*n**4/6 + 73*n**3/6 - 7*n**2/2 = 0.
0, 1/3, 3, 7
Factor -2*z**3 - 294*z**2 + 594*z - 298.
-2*(z - 1)**2*(z + 149)
Factor k**2/5 - 16*k/5 + 28/5.
(k - 14)*(k - 2)/5
Factor -5*l**4 + 75*l**3 - 390*l**2 + 800*l - 480.
-5*(l - 6)*(l - 4)**2*(l - 1)
Factor 3*x**5 + 15*x**4 - 33*x**3 - 99*x**2 - 54*x.
3*x*(x - 3)*(x + 1)**2*(x + 6)
Factor -4*u**3 + 2268*u**2 - 320352*u - 322624.
-4*(u - 284)**2*(u + 1)
Factor m**4/2 - 2*m**3 - m**2 + 6*m + 9/2.
(m - 3)**2*(m + 1)**2/2
Determine m so that -m**3/2 - 88*m**2 - 521*m/2 - 173 = 0.
-173, -2, -1
Solve -4*m**2 - 40008*m - 100040004 = 0.
-5001
Solve -2*o**5/13 + 16*o**4/13 + 166*o**3/13 + 76*o**2/13 - 704*o/13 + 448/13 = 0 for o.
-4, 1, 14
Let -3*c**4/5 - 108*c**3/5 + 45*c**2 - 114*c/5 = 0. What is c?
-38, 0, 1
Determine m so that 4*m**2 + 12480*m + 9734400 = 0.
-1560
Solve m**2 + 1400*m + 490000 = 0 for m.
-700
Suppose 2*l**2/3 - 380*l/3 + 18050/3 = 0. What is l?
95
Determine r, given that -5*r**4 + 75*r**3 + 45*r**2 - 675*r = 0.
-3, 0, 3, 15
Factor 3*p**2/7 + 15*p/7 + 18/7.
3*(p + 2)*(p + 3)/7
Factor m**2 + 17*m/2 - 19/2.
(m - 1)*(2*m + 19)/2
Solve -6*h**2 + 446*h/3 + 100/3 = 0 for h.
-2/9, 25
Find w, given that 3*w**5/5 - 517*w**4/5 + 22352*w**3/5 - 6024*w**2/5 - 11696*w - 29584/5 = 0.
-1, -2/3, 2, 86
Solve 3*g**5/4 - 27*g**4/4 + 51*g**3/4 + 27*g**2/4 - 27*g/2 = 0 for g.
-1, 0, 1, 3, 6
Find p such that -2*p**5/13 - 18*p**4/13 - 28*p**3/13 + 4*p**2/13 + 30*p/13 + 14/13 = 0.
-7, -1, 1
Solve 2*v**3/5 - 66*v**2/5 - 624*v/5 + 25688/5 = 0.
-19, 26
Factor -2*j**4 + 540*j**3 - 46248*j**2 + 1024976*j + 19934016.
-2*(j - 94)**3*(j + 12)
Suppose -9*t**4 - 75*t**3 + 53*t**2 - 9*t = 0. Calculate t.
-9, 0, 1/3
Factor -2*u**2 + 52*u + 630.
-2*(u - 35)*(u + 9)
Solve -c**4 + 14*c**3 - 12*c**2 - 14*c + 13 = 0.
-1, 1, 13
What is p in p**5/2 + 11*p**4/4 - 14*p**3 + 61*p**2/4 - 9*p/2 = 0?
-9, 0, 1/2, 1, 2
Factor -695*g**2 + 1340*g + 100.
-5*(g - 2)*(139*g + 10)
Determine n, given that -6*n**2/7 + 904*n/7 - 600/7 = 0.
2/3, 150
Factor -p**4/3 - 114*p**3 - 9860*p**2 - 57800*p/3.
-p*(p + 2)*(p + 170)**2/3
Factor 3*c**5 + 96*c**4 + 1146*c**3 + 6048*c**2 + 11907*c.
3*c*(c + 7)**2*(c + 9)**2
Determine t so that 4*t**5/3 + 76*t**4/3 + 500*t**3/3 + 1316*t**2/3 + 392*t = 0.
-7, -3, -2, 0
Determine m, given that 3*m**2/4 + 39*m/2 + 75/4 = 0.
-25, -1
Let -50*z**4/3 - 880*z**3/3 - 414*z**2 + 604*z/3 - 64/3 = 0. Calculate z.
-16, -2, 1/5
Determine a, given that -3*a**2/7 - 36*a/7 - 33/7 = 0.
-11, -1
Factor 2*g**2/9 - 2626*g/9 + 2624/9.
2*(g - 1312)*(g - 1)/9
Determine p, given that 8*p**4/17 - 382*p**3/17 - 896*p**2/17 - 200*p/17 = 0.
-2, -1/4, 0, 50
Let -3*c**5 - 144*c**4 - 2373*c**3 - 17016*c**2 - 50112*c - 35328 = 0. What is c?
-23, -8, -1
Factor -4*r**3 - 1068*r**2 - 95052*r - 2819876.
-4*(r + 89)**3
Factor f**3/3 - 4*f**2.
f**2*(f - 12)/3
Find d such that 2*d**4/5 - 17*d**3/5 + 39*d**2/5 - 8*d/5 - 16/5 = 0.
-1/2, 1, 4
Let -5*a**3 - 2640*a**2 - 356265*a - 2043630 = 0. What is a?
-261, -6
Find k, given that -4*k**4 - 304*k**3 + 1588*k**2 - 2576*k + 1296 = 0.
-81, 1, 2
Factor 2*v**2/13 - 1752*v/13 + 383688/13.
2*(v - 438)**2/13
Factor 3*j**2/4 - 93*j + 2883.
3*(j - 62)**2/4
Factor 20*m**4 + 672*m**3 - 272*m**2.
4*m**2*(m + 34)*(5*m - 2)
Factor 4*s**4 + 56*s**3 + 180*s**2 + 208*s + 80.
4*(s + 1)**2*(s + 2)*(s + 10)
Find y such that -5*y**4 + 55*y**3 - 185*y**2 + 225*y - 90 = 0.
1, 3, 6
Factor 3*x**2/5 + 3*x/5 - 6/5.
3*(x - 1)*(x + 2)/5
Let 12*j**4 + 33*j**3 - 21*j**2 - 33*j + 9 = 0. Calculate j.
-3, -1, 1/4, 1
Find w, given that 5*w**4 - 135*w**3 - 435*w**2 - 445*w - 150 = 0.
-1, 30
Factor 5*b**3 + 375*b**2 + 6840*b - 7220.
5*(b - 1)*(b + 38)**2
Let -12*v**3 + 309*v**2 - 1950*v - 507 = 0. Calculate v.
-1/4, 13
Factor 5*u**2 + 3815*u.
5*u*(u + 763)
Find v, given that 2*v**3/15 - 14*v**2