4, 8
Factor 4*b**4 - 24616*b**3 - 49248*b**2.
4*b**2*(b - 6156)*(b + 2)
Find d such that -8*d**5 + 26*d**4 + 1146*d**3 + 832*d**2 - 280*d = 0.
-10, -1, 0, 1/4, 14
Factor 5*f**2 + 2635*f + 129800.
5*(f + 55)*(f + 472)
Factor 242*s**3/9 + 3740*s**2 + 4056*s + 1104.
2*(s + 138)*(11*s + 6)**2/9
Find j, given that 3*j**2/4 - 12081*j/4 - 3021 = 0.
-1, 4028
Let -3*b**3 + 201*b**2 + 2748*b + 7584 = 0. Calculate b.
-8, -4, 79
Find i such that i**3/4 + 10255*i**2/2 + 26306632*i + 157655256 = 0.
-10252, -6
Find g such that 2*g**5/5 + 10052*g**4/5 + 40188*g**3/5 + 60272*g**2/5 + 40178*g/5 + 10044/5 = 0.
-5022, -1
Factor -n**3 + 35051*n**2 - 35050*n.
-n*(n - 35050)*(n - 1)
Factor 21*j**3/8 - 8499*j**2/4 + 3468621*j/8 - 1461681.
3*(j - 403)**2*(7*j - 24)/8
Suppose -2*j**4 + 164*j**3 - 3674*j**2 + 12792*j - 12168 = 0. Calculate j.
2, 39
Determine c, given that 5*c**3 - 160*c**2 - 11205*c - 107640 = 0.
-24, -13, 69
Factor -783*z**3 + 3135*z**2 - 3144*z + 12.
-3*(z - 2)**2*(261*z - 1)
Find x such that -2*x**2 - 144844*x - 2622473042 = 0.
-36211
Solve -3*i**3 + 711*i**2 + 3*i - 711 = 0 for i.
-1, 1, 237
Factor -2*r**2/21 - 133072*r/21.
-2*r*(r + 66536)/21
Factor s**2 + 1194106*s + 356472284809.
(s + 597053)**2
Factor -4*w**3 - 112*w**2 - 176*w + 832.
-4*(w - 2)*(w + 4)*(w + 26)
Factor 4*f**3 + 3572*f**2 - 4*f - 3572.
4*(f - 1)*(f + 1)*(f + 893)
Factor 2*i**2 - 3754*i/3 + 2080.
2*(i - 624)*(3*i - 5)/3
Find c, given that 10*c**3/7 + 2247444*c**2/7 + 126275562816*c/7 + 50509865536/7 = 0.
-112372, -2/5
Let 10960*y**3 - 11344*y**2 + 3124*y - 96 = 0. Calculate y.
24/685, 1/2
Factor -r**2 - 29385*r.
-r*(r + 29385)
Suppose -4*l**3/7 + 92*l**2 - 2512*l/7 = 0. What is l?
0, 4, 157
Factor -t**2/4 - 1455*t/4 - 3625/2.
-(t + 5)*(t + 1450)/4
Factor -d**3 - 231*d**2 - 3654*d - 3424.
-(d + 1)*(d + 16)*(d + 214)
Factor 2*i**3 + 10542*i**2 + 73708*i + 63168.
2*(i + 1)*(i + 6)*(i + 5264)
What is a in -3*a**3 - 36*a**2 + 6204*a + 25200 = 0?
-50, -4, 42
Factor -q**3/4 + 23*q**2/4 - 39*q/4 - 63/4.
-(q - 21)*(q - 3)*(q + 1)/4
Factor -3*f**3/5 - 21216*f**2 - 187761420*f - 3746746800.
-3*(f + 20)*(f + 17670)**2/5
Factor -5*m**4 - 470*m**3 - 11380*m**2 - 10120*m + 253920.
-5*(m - 4)*(m + 6)*(m + 46)**2
Find d such that 3*d**5 + 99*d**4 + 363*d**3 + 441*d**2 + 174*d = 0.
-29, -2, -1, 0
Factor 2*f**2/17 - 1066*f/17 + 30180/17.
2*(f - 503)*(f - 30)/17
Determine j, given that -6*j**5/11 - 54008*j**4/11 - 11037266*j**3 + 567396028*j**2/11 - 810936264*j/11 + 324432144/11 = 0.
-4503, 2/3, 2
Suppose -7*o**3 + 28299*o**2 + 64716*o + 16180 = 0. What is o?
-2, -2/7, 4045
Solve t**3 - 22684*t**2 + 128640964*t = 0 for t.
0, 11342
Factor -9*p**2/2 + 13782*p - 9186.
-3*(p - 3062)*(3*p - 2)/2
Suppose 2*z**5/7 + 32*z**4/7 + 10*z**3 - 128*z**2/7 - 312*z/7 = 0. What is z?
-13, -3, -2, 0, 2
Suppose -2*a**4/11 + 2206*a**3/11 - 53510*a**2 - 1183846*a/11 - 593028/11 = 0. What is a?
-1, 459, 646
Suppose -2*i**2 - 22872*i - 65391048 = 0. What is i?
-5718
Factor 4*a**3 + 373000*a**2 + 745984*a.
4*a*(a + 2)*(a + 93248)
Suppose l**5/2 - 237*l**4 + 1177*l**3 - 2114*l**2 + 3285*l/2 - 469 = 0. Calculate l.
1, 2, 469
Solve -r**3/6 - 121*r**2/6 + 871*r/3 = 0 for r.
-134, 0, 13
Factor -300928344*d**3 - 1805541736*d**2 + 509902*d/3 - 4.
-2*(d + 6)*(21246*d - 1)**2/3
Let -272*g**2/9 + 4*g = 0. Calculate g.
0, 9/68
Factor -s**3 + 6*s**2 + 40*s.
-s*(s - 10)*(s + 4)
Let -3*y**4 + 549*y**3 + 442329*y**2 + 882999*y + 441222 = 0. Calculate y.
-302, -1, 487
Find g, given that -g**3/4 + 1145*g**2 - 1313312*g + 5234944 = 0.
4, 2288
Factor -g**2/2 - 225*g/2 - 763.
-(g + 7)*(g + 218)/2
What is i in 5*i**5/3 - 2315*i**4/3 + 210695*i**3/3 + 13296875*i**2/3 + 151947880*i/3 + 489999020/3 = 0?
-31, -7, 254
Factor 9*j**3 - 161*j**2 + 406*j - 240.
(j - 15)*(j - 2)*(9*j - 8)
Find x, given that 2*x**4/7 + 92*x**3/7 + 1038*x**2/7 + 2340*x/7 = 0.
-30, -13, -3, 0
Determine x, given that -155*x**2 + 70*x + 1185 = 0.
-79/31, 3
Solve 4*q**2 - 225644*q + 676896 = 0.
3, 56408
Determine h so that -1803*h**5/7 + 19839*h**4/7 - 59565*h**3/7 + 9213*h**2/7 + 90120*h/7 - 300/7 = 0.
-1, 2/601, 2, 5
Factor 2619*s**2 - 5250*s + 24.
3*(s - 2)*(873*s - 4)
Determine g, given that 71*g**4/3 + 211*g**3/3 - 428*g**2 - 2804*g/3 + 80/3 = 0.
-5, -2, 2/71, 4
Factor -3*t**4/2 + 11865*t**3 - 46902339*t**2/2 - 46937940*t - 23474904.
-3*(t - 3956)**2*(t + 1)**2/2
Factor -m**3/6 + 2357*m**2/2 + 4715*m/2 + 7073/6.
-(m - 7073)*(m + 1)**2/6
Factor 2*w**2 + 25898*w - 544740.
2*(w - 21)*(w + 12970)
Factor -c**2 + 87500*c - 174996.
-(c - 87498)*(c - 2)
Find b, given that -4*b**4 + 218524*b**3 - 2984873920*b**2 + 8952655152*b = 0.
0, 3, 27314
Factor 3*a**2/4 - 1995213*a/2 + 1326958305123/4.
3*(a - 665071)**2/4
Factor -2*o**3/9 - 638810*o**2/9 - 51009457606*o/9 + 51010096418/9.
-2*(o - 1)*(o + 159703)**2/9
Let 3*d**3 + 17652*d**2 + 70560*d = 0. What is d?
-5880, -4, 0
Suppose -2*q**4 + 10*q**3 + 78*q**2 - 18*q - 324 = 0. Calculate q.
-3, 2, 9
Factor 2*g**3/7 - 328*g**2/7 + 16330*g/7 - 221804/7.
2*(g - 71)**2*(g - 22)/7
Find x such that -2*x**3/11 + 34*x**2 + 1148*x/11 - 1520/11 = 0.
-4, 1, 190
Find r such that r**5 - 79*r**4 + 77*r**3 + 79*r**2 - 78*r = 0.
-1, 0, 1, 78
Factor -169*g**2/5 - 8762*g/5 - 113569/5.
-(13*g + 337)**2/5
Suppose w**3/2 + 3289*w**2/2 - 4943*w - 16460 = 0. What is w?
-3292, -2, 5
Factor -3*y**3 + 339*y**2 - 6222*y + 19656.
-3*(y - 91)*(y - 18)*(y - 4)
Factor -t**3/2 + 4445*t**2 + 17786*t + 17788.
-(t - 8894)*(t + 2)**2/2
Determine q, given that 5*q**5 - 1050*q**4 + 79000*q**3 - 2470400*q**2 + 27033600*q - 73400320 = 0.
4, 14, 64
Solve 3*h**2 - 5130*h + 273075 = 0 for h.
55, 1655
Let n**2/5 + 7188*n/5 + 12916836/5 = 0. What is n?
-3594
Find v, given that -4*v**4/5 + 3952*v**3/5 + 13668*v**2 = 0.
-17, 0, 1005
Determine o, given that -o**5/2 - 7*o**4/2 + 59*o**3 + 92*o**2 - 672*o = 0.
-14, -4, 0, 3, 8
Factor -12827*y**2/4 + 25651*y/2 + 6.
-(y - 4)*(12827*y + 6)/4
Solve 4872*b**2 - 2*b/3 = 0 for b.
0, 1/7308
Let -b**2 - 76038*b + 76039 = 0. What is b?
-76039, 1
Factor 5*h**3 + 1759765*h**2 + 7039000*h + 7038980.
5*(h + 2)**2*(h + 351949)
Determine s so that 4*s**3 + 7652*s**2 + 735200*s + 18130000 = 0.
-1813, -50
Factor n**5 + 18*n**4 - 20*n**3 - 18*n**2 + 19*n.
n*(n - 1)**2*(n + 1)*(n + 19)
Determine c, given that 3*c**5/8 + 507*c**4/8 + 15453*c**3/8 - 502923*c**2/8 + 762945*c/2 - 1055925/2 = 0.
-95, 2, 6, 13
Let -2*x**2 - 8386*x + 458676 = 0. Calculate x.
-4247, 54
Let 5*u**5 + 2220*u**4 + 246420*u**3 = 0. Calculate u.
-222, 0
Let -3*r**4 + 351*r**3 + 48315*r**2 - 5485923*r - 22693500 = 0. What is r?
-125, -4, 123
Factor 2*f**3/5 - 8*f**2/5 - 602*f/5 + 608/5.
2*(f - 19)*(f - 1)*(f + 16)/5
Factor -2*l**2/7 - 12724*l - 141662654.
-2*(l + 22267)**2/7
Determine n so that -4*n**3/5 + 16779*n**2 - 439887702*n/5 - 109977169/5 = 0.
-1/4, 10487
Factor -q**3/2 - 13*q**2/2 + 65*q/2 - 51/2.
-(q - 3)*(q - 1)*(q + 17)/2
Determine j so that -18*j**5 - 110*j**4 + 1284*j**3 + 144*j**2 = 0.
-12, -1/9, 0, 6
Solve 6*n**5 - 177*n**4 + 1083*n**3 + 2229*n**2 - 1089*n - 2052 = 0.
-3/2, -1, 1, 12, 19
What is y in -3*y**4/8 + 837*y**3/8 - 6759*y**2/4 - 18636*y - 40716 = 0?
-4, 26, 261
Factor 1530*s**2/7 + 563032*s/7 - 2944/7.
2*(s + 368)*(765*s - 4)/7
Factor 2*k**2 + 224*k - 17490.
2*(k - 53)*(k + 165)
Factor u**2/3 + 2306*u - 13840/3.
(u - 2)*(u + 6920)/3
Find t, given that -102*t**2/7 - 16986*t - 83880/7 = 0.
-1165, -12/17
Let -300*j**5 - 1255*j**4 + 17890*j**3 + 44475*j**2 - 37170*j = 0. What is j?
-177/20, -3, 0, 2/3, 7
Factor u**5 - 5711*u**4 - 22854*u**3 - 34286*u**2 - 22859*u - 5715.
(u - 5715)*(u + 1)**4
Find x, given that -3*x**4 - 819*x**3 - 5562*x**2 + 6384*x = 0.
-266, -8, 0, 1
Factor g**2 - 29286*g + 29285.
(g - 29285)*(g - 1)
Factor o**3/3 - 809*o**2/3 - 3248*o/3 - 1084.
(o - 813)*(o + 2)**2/3
Factor 188498*m**3/3 + 448834*m**2 + 63360*m + 6776/3.
2*(m + 7)*(307*m + 22)**2/3
Factor -13*t**3 + 335*t**2 + 516*t - 2268.
-(t - 27)*(t - 2)*(13*t + 42)
Solve -5*m**2 + 330*m + 11375 = 0 for m.
-25, 91
Factor 2*i**3/13 + 1860*i**2/13 + 139200*i/13 + 2720000/13.
2*(i + 40)**2*(i + 850)/13
Factor o**2 - 736*o + 69375.
(o - 625)*(o - 111)
Solve -3*m**5/2 + 15*m**4/2 + 1041*m**3/2 - 1647*m**2/2 - 48195*m - 89100 = 0.
-12, -11, -2, 15
Find q, given that 4*q**5 + 6216*q**4 + 20222