ermine g so that -g**4 - 581*g**3 + 77843*g**2 + 157425*g + 79002 = 0.
-693, -1, 114
Factor -y**2/6 + 11*y/6 + 242.
-(y - 44)*(y + 33)/6
Solve -2*r**5/7 + 106*r**4/7 - 1710*r**3/7 + 7750*r**2/7 - 3128*r/7 - 12696/7 = 0 for r.
-1, 2, 6, 23
Suppose 2*b**2/5 + 243988*b/5 - 731982/5 = 0. Calculate b.
-121997, 3
Let k**5 - 1122*k**4 + 1120*k**3 + 1122*k**2 - 1121*k = 0. Calculate k.
-1, 0, 1, 1121
Let 6*m**4/13 - 3092*m**3/13 - 1118*m**2 - 13532*m/13 + 480 = 0. Calculate m.
-3, -2, 1/3, 520
Factor 3*k**2/2 + 6771*k/2 + 80388.
3*(k + 24)*(k + 2233)/2
Factor 5*f**4 + 3210*f**3 + 22200*f**2 - 16250*f - 238125.
5*(f - 3)*(f + 5)**2*(f + 635)
Factor f**5/2 + 808*f**4 + 3229*f**3/2 + 807*f**2.
f**2*(f + 1)**2*(f + 1614)/2
Find h such that 2*h**2/5 + 62076*h + 2408393610 = 0.
-77595
Let -18*b**4 + 4731*b**3 - 8550*b**2 - 16443*b = 0. Calculate b.
-7/6, 0, 3, 261
Determine z, given that -10*z**5 - 325*z**4 - 2295*z**3 - 2450*z**2 + 1840*z = 0.
-23, -8, -2, 0, 1/2
Factor 2*n**3/3 + 4219*n**2/3 - 33866*n/3 + 29645/3.
(n - 7)*(n - 1)*(2*n + 4235)/3
Factor h**2/5 + 1091*h/5 - 3282/5.
(h - 3)*(h + 1094)/5
Factor -6*k**3/7 - 5708*k**2/7 + 544*k.
-2*k*(k + 952)*(3*k - 2)/7
Solve j**3 + 209*j**2 - 1281*j + 1935 = 0.
-215, 3
Solve -v**3/5 + 175701*v**2/5 - 7717446792*v/5 - 23153921712/5 = 0.
-3, 87852
What is a in a**2 + 966*a + 11448 = 0?
-954, -12
Find q, given that 2*q**3/9 - 75190*q**2/9 - 150386*q/9 - 75194/9 = 0.
-1, 37597
Determine u so that 76*u**5 - 13900*u**4 - 132792*u**3 - 13824*u**2 = 0.
-9, -2/19, 0, 192
Factor 2*b**2 - 1432*b + 25128.
2*(b - 698)*(b - 18)
Find d, given that -5*d**5/3 - 23*d**4/3 + 118*d**3 + 1366*d**2/3 - 4445*d/3 - 1813 = 0.
-7, -1, 3, 37/5
Factor 2*o**3/9 + 550*o**2/9 + 48614*o/9 + 451478/3.
2*(o + 57)*(o + 109)**2/9
Let -g**5/3 - 14*g**4/3 + 896*g**3/3 + 2880*g**2 - 57600*g - 576000 = 0. Calculate g.
-30, -12, 20
Factor -4588*n**2/7 - 8*n/7.
-4*n*(1147*n + 2)/7
Determine i, given that 63*i**5/2 + 1389*i**4/2 + 8649*i**3/2 + 9447*i**2/2 - 7956*i + 1782 = 0.
-11, -9, -3, 2/7, 2/3
Factor -5*v**2 - 1513810*v - 114581035805.
-5*(v + 151381)**2
Solve 2*b**4/9 + 4358*b**3/9 - 1454*b**2 + 13090*b/9 - 4364/9 = 0.
-2182, 1
Factor p**3 + 593*p**2 - 1189*p + 595.
(p - 1)**2*(p + 595)
Factor -5*j**3/2 - 265*j**2/2 - 115*j + 780.
-5*(j - 2)*(j + 3)*(j + 52)/2
Factor -2*z**3/5 + 24*z**2/5 + 882*z/5 + 3016/5.
-2*(z - 29)*(z + 4)*(z + 13)/5
Determine b, given that -4*b**3 + 104*b**2 + 16020*b + 15912 = 0.
-51, -1, 78
Factor 3*c**3 - 381*c**2 + 13104*c - 136512.
3*(c - 79)*(c - 24)**2
Factor g**4 - 66835*g**3 + 1116695888*g**2 + 1116762724*g.
g*(g - 33418)**2*(g + 1)
Factor 2*d**2/3 + 63322*d/3 + 63316.
2*(d + 3)*(d + 31658)/3
Suppose p**5 - 197*p**4/2 - 301*p**3/2 + 97*p**2/2 + 299*p/2 + 50 = 0. Calculate p.
-1, -1/2, 1, 100
Find l, given that l**5 + 332*l**4 + 1291*l**3 - 6992*l**2 - 34192*l - 26240 = 0.
-328, -4, -1, 5
Let -3*u**3 - 14748*u**2 + 14769*u + 88506 = 0. Calculate u.
-4917, -2, 3
Determine k, given that -3*k**4 + 408*k**3 + 2520*k**2 + 5088*k + 3408 = 0.
-2, 142
Factor -s**3 + 207*s**2 - 2508*s - 2716.
-(s - 194)*(s - 14)*(s + 1)
Find c such that -788*c**3/5 - 28212*c**2 - 417496*c/5 - 4224/5 = 0.
-176, -3, -2/197
Determine v so that -v**5 + 2215*v**4 + 3*v**3 - 6647*v**2 + 4430*v = 0.
-2, 0, 1, 2215
Solve -10*s**4/11 + 376*s**3/11 - 1048*s**2/11 - 23520*s/11 - 9216/11 = 0 for s.
-6, -2/5, 12, 32
Solve -4*a**3 + 1152*a**2 + 7216*a - 47040 = 0.
-10, 4, 294
Determine s, given that -s**5 + 31*s**4 - 261*s**3 + 377*s**2 + 262*s - 408 = 0.
-1, 1, 2, 12, 17
What is p in -p**5/5 + 81*p**4/5 - 1223*p**3/5 + 5679*p**2/5 - 4536*p/5 = 0?
0, 1, 8, 9, 63
Factor -4*x**2/7 - 10356*x/7 - 1222640/7.
-4*(x + 124)*(x + 2465)/7
Factor -237*n**2 + 2739*n + 2976.
-3*(n + 1)*(79*n - 992)
Factor -2*k**2/3 + 19910*k + 59732/3.
-2*(k - 29866)*(k + 1)/3
Let 21*v**5/5 + 32336*v**4 + 82996757*v**3 + 71047836522*v**2 + 74343963596*v + 16895457496/5 = 0. What is v?
-2566, -1, -1/21
Factor -c**4/3 + 2876*c**3/9 + 959*c**2/9.
-c**2*(c - 959)*(3*c + 1)/9
Factor -11597645*j**3 + 81168285*j**2 + 106605*j + 35.
-5*(j - 7)*(1523*j + 1)**2
Let 10*m**5 - 591*m**4 + 10379*m**3 - 52832*m**2 - 57540*m + 6272 = 0. What is m?
-1, 1/10, 14, 32
Factor 2*w**3/3 - 139658*w**2/3 + 279310*w/3 - 139654/3.
2*(w - 69827)*(w - 1)**2/3
Factor 2*b**5 - 14*b**4 - 1572*b**3 + 27608*b**2 - 79184*b - 526848.
2*(b - 14)**3*(b + 3)*(b + 32)
Factor -d**5/8 + 51*d**4/8 - 487*d**3/4 + 2093*d**2/2 - 3675*d + 2744.
-(d - 14)**3*(d - 8)*(d - 1)/8
Suppose 13*y**4/9 - 1303*y**3/9 + 29413*y**2/9 + 20929*y/3 + 3562 = 0. Calculate y.
-1, 39, 822/13
Find r, given that -4*r**5/9 + 352*r**4/9 + 2288*r**3/9 - 2624*r**2/9 - 35584*r/9 - 48128/9 = 0.
-4, -2, 4, 94
Suppose 4*h**3 - 329208*h**2 + 329204*h = 0. What is h?
0, 1, 82301
Determine x, given that -2*x**2 + 6940*x - 6938 = 0.
1, 3469
Factor 5*k**3 + 2650*k**2 - 52155*k.
5*k*(k - 19)*(k + 549)
Find o, given that -27*o**4 + 9768*o**3 + 21828*o**2 + 4368*o = 0.
-2, -2/9, 0, 364
Factor -f**2/3 - 83*f/3 + 528.
-(f - 16)*(f + 99)/3
Find b such that -4*b**5 - 28*b**4 + 5664*b**3 - 95744*b**2 + 483328*b - 393216 = 0.
-48, 1, 8, 16
What is h in 4*h**2 - 1936 = 0?
-22, 22
Solve -5*n**4 + 5310*n**3 - 110025*n**2 + 751140*n - 1686420 = 0.
6, 9, 1041
Let i**5/2 - 35*i**4 + 1797*i**3/2 - 9956*i**2 + 39710*i = 0. What is i?
0, 10, 19, 22
Factor 150*q**2/11 - 2418*q/11 + 288/11.
6*(q - 16)*(25*q - 3)/11
What is b in 35*b**3 + 2410*b**2 - 2800*b = 0?
-70, 0, 8/7
Find f, given that 5*f**3 + 195275*f**2 + 1906323335*f - 5720727615 = 0.
-19529, 3
Let -g**3/8 - 207*g**2/2 - 827*g/8 = 0. Calculate g.
-827, -1, 0
Let -21*z**2 + 52914*z + 15120 = 0. What is z?
-2/7, 2520
Factor 2*s**4/15 - 13028*s**3/15 + 13024*s**2/5 - 39068*s/15 + 13022/15.
2*(s - 6511)*(s - 1)**3/15
Suppose -2*y**2 - 426*y + 11376 = 0. What is y?
-237, 24
Factor -11*i**2/8 + 185*i/4 - 72.
-(i - 32)*(11*i - 18)/8
Factor -4*r**3/3 + 11112*r**2 + 22228*r + 33344/3.
-4*(r - 8336)*(r + 1)**2/3
Factor -2*j**2/9 - 1754*j/9 - 1748/3.
-2*(j + 3)*(j + 874)/9
Factor -4*h**2 + 460*h - 13144.
-4*(h - 62)*(h - 53)
Find a such that 16*a**4 - 3032*a**3 + 145113*a**2 - 136097*a - 284258 = 0.
-1, 2, 377/4
Solve -3*n**5 + 39*n**4 - 6*n**3 - 1020*n**2 + 1800*n = 0 for n.
-5, 0, 2, 6, 10
Solve -3*j**5/2 + 231*j**4/2 - 429*j**3/2 - 1599*j**2/2 + 882*j + 1350 = 0.
-2, -1, 2, 3, 75
Factor -d**2 + 129888*d - 4217723136.
-(d - 64944)**2
Find v such that -2*v**3 + 162*v**2 - 136*v - 1920 = 0.
-3, 4, 80
Solve s**2/2 + 20541*s/2 - 10271 = 0.
-20542, 1
Solve -b**2/3 - 48431*b/3 + 96874 = 0 for b.
-48437, 6
Determine i, given that -2*i**5/3 + 16*i**4/3 + 154*i**3 + 404*i**2/3 - 880*i/3 = 0.
-11, -2, 0, 1, 20
Let -6*r**4/5 + 213*r**3/5 + 6249*r**2 - 275385*r + 136125 = 0. Calculate r.
-75, 1/2, 55
Find p, given that 16*p**4 - 3198*p**3 + 159540*p**2 + 32000*p - 600000 = 0.
-2, 15/8, 100
Factor -y**3/3 + 910*y**2/3 + 3676*y + 11064.
-(y - 922)*(y + 6)**2/3
Solve -2*o**2/7 - 1852*o/7 - 1838 = 0.
-919, -7
Find g, given that g**4/5 - 66984*g**3/5 - 200958*g**2/5 - 40192*g - 66987/5 = 0.
-1, 66987
Factor 32*p**2/13 - 222878*p/13 - 13930/13.
2*(p - 6965)*(16*p + 1)/13
Factor 4*i**4 - 504*i**3 + 3860*i**2 - 9984*i + 8496.
4*(i - 118)*(i - 3)**2*(i - 2)
Let z**2/2 + 399*z/2 - 2255 = 0. Calculate z.
-410, 11
Factor -3*u**2 - 5184*u - 5181.
-3*(u + 1)*(u + 1727)
Determine d so that -14*d**2 - 7792*d + 3342 = 0.
-557, 3/7
Solve -n**5/3 + 40*n**4 + 644*n**3 - 343664*n**2/3 - 2319360*n + 11059200 = 0.
-32, 4, 90
Determine h, given that h**2/3 + 33038*h/3 + 55055 = 0.
-33033, -5
Factor 2*k**3 + 204498*k**2 + 5227326750*k - 5227531250.
2*(k - 1)*(k + 51125)**2
Determine w so that -w**3/5 + 22392*w**2 - 223917*w/5 + 111958/5 = 0.
1, 111958
What is u in -4*u**4 - 360*u**3 + 5684*u**2 - 14472*u + 9152 = 0?
-104, 1, 2, 11
Solve -2*m**2/23 + 167658*m/23 + 502992/23 = 0 for m.
-3, 83832
Determine t so that -t**2 + 53964*t - 107924 = 0.
2, 53962
Find o such that -o**5/5 - 16*o**4/5 - 88*o**3/5 - 202*o**2/5 - 199*o/5 - 14 = 0.
-7, -5, -2, -1
Factor -f**3 + 265*f**2 - 5000*f + 24500.
-(f - 245)*(f - 10)**2
Let -h**2 - 820*h - 168100 = 0. Calculate h.
-410
Factor 2*m**2/5 - 2994*m - 29980.
2*(m - 7495)*(m + 10)/5
Determine t so that -t**5/3 + 905*t**4/3 - 8938*