h**4 + 3268*h**3 - 1319900*h**2 - 47341250*h - 457531250 = 0.
-25, 121
What is k in 5*k**5 + 840*k**4 + 27790*k**3 + 284120*k**2 + 488205*k + 231040 = 0?
-128, -19, -1
Find o, given that 5*o**2 + 14110*o - 184275 = 0.
-2835, 13
Determine o, given that o**5/4 - 3845*o**4/4 - 3847*o**3/2 = 0.
-2, 0, 3847
Factor j**2/4 + 169285*j/4 + 42321.
(j + 1)*(j + 169284)/4
Factor -n**3/4 - 39*n**2/4 + 5841*n/4 - 114345/4.
-(n - 33)**2*(n + 105)/4
Find t such that t**4/2 - 89*t**3 + 177*t**2/2 = 0.
0, 1, 177
Let -o**4 - 248*o**3 + 7651*o**2 - 21202*o + 13800 = 0. Calculate o.
-276, 1, 2, 25
Suppose 3*f**2 + 119064*f + 1181353008 = 0. Calculate f.
-19844
Suppose 3*y**3 + 456*y**2 - 227433*y + 226974 = 0. Calculate y.
-362, 1, 209
Determine w so that w**4/2 + 76135*w**3/2 - w**2/2 - 76135*w/2 = 0.
-76135, -1, 0, 1
Determine u, given that 34*u**5/15 - 6976*u**4/15 + 20674*u**3/5 - 171208*u**2/15 + 134944*u/15 - 6272/5 = 0.
3/17, 1, 4, 196
Suppose -3*k**5 + 7170*k**4 - 4298388*k**3 + 17100462*k**2 - 12809241*k = 0. What is k?
0, 1, 3, 1193
Find l such that l**3 + 1710*l**2 + 677025*l - 46993500 = 0.
-885, 60
Let c**3/2 - 57*c**2 - 6909*c/2 - 3397 = 0. Calculate c.
-43, -1, 158
Solve 3*h**5 + 324*h**4 + 300*h**3 - 2286*h**2 - 4191*h - 1926 = 0.
-107, -2, -1, 3
Determine c so that -4*c**2/3 - 544*c/3 - 6032 = 0.
-78, -58
Suppose q**2/2 + 1523*q + 18204 = 0. What is q?
-3034, -12
Factor -4*h**3 + 3004*h**2 + 30404*h + 27396.
-4*(h - 761)*(h + 1)*(h + 9)
Suppose 8*o**2 - 708*o - 1820 = 0. What is o?
-5/2, 91
Factor -3*d**2/4 + 249*d + 58599/4.
-3*(d - 383)*(d + 51)/4
Factor a**4/4 - 481*a**3/4 - a**2/4 + 481*a/4.
a*(a - 481)*(a - 1)*(a + 1)/4
Factor -4*w**3 + 96*w**2 + 1980*w - 2072.
-4*(w - 37)*(w - 1)*(w + 14)
Factor l**4 + 261*l**3 + 230*l**2 - 7800*l.
l*(l - 5)*(l + 6)*(l + 260)
Determine s, given that -3*s**4/4 - 213*s**3 - 18135*s**2/4 - 16443*s/2 = 0.
-261, -21, -2, 0
Factor -n**4/5 - 128*n**3 - 103668*n**2/5 - 404496*n/5.
-n*(n + 4)*(n + 318)**2/5
Factor 3*w**2/4 + 345*w/2 - 1428.
3*(w - 8)*(w + 238)/4
Suppose -2*w**3/5 - 29356*w**2/5 - 58688*w/5 + 234816/5 = 0. Calculate w.
-14676, -4, 2
Factor 27848*b**3/3 - 2503960*b**2/3 - 212350*b/3 - 1500.
2*(b - 90)*(118*b + 5)**2/3
Factor -5*y**3 + 192*y**2 + 1229*y - 10320.
-(y - 43)*(y - 5)*(5*y + 48)
Factor 13*t**3/2 + 146*t**2 + 794*t + 336.
(t + 8)*(t + 14)*(13*t + 6)/2
Let -5*l**3 - 858150*l**2 - 3432535*l - 2574390 = 0. What is l?
-171626, -3, -1
What is c in 4*c**4 + 16132*c**3 - 32280*c**2 = 0?
-4035, 0, 2
Determine n so that n**2 - 61305*n + 61304 = 0.
1, 61304
Let 3*r**3/5 - 7596*r**2/5 + 7593*r/5 = 0. Calculate r.
0, 1, 2531
Factor -s**4 - 1141*s**3 + 3429*s**2 - 3431*s + 1144.
-(s - 1)**3*(s + 1144)
Solve 98000*c**2 - 211400*c + 114005 = 0 for c.
151/140
Factor 2*b**3/3 - 176*b**2 - 4898*b/3 - 1456.
2*(b - 273)*(b + 1)*(b + 8)/3
Factor -39*m**3 + 1968*m**2 - 11088*m.
-3*m*(m - 44)*(13*m - 84)
Factor 3*b**2/2 + 320229*b/2 + 640434.
3*(b + 4)*(b + 106739)/2
Factor -v**4/4 - 2*v**3 + 379*v**2/4 + 391*v/2.
-v*(v - 17)*(v + 2)*(v + 23)/4
Determine i, given that -3*i**2 + 140127*i + 420408 = 0.
-3, 46712
Solve 24*u**4/5 + 140444*u**3/5 + 117008*u**2/5 - 14044*u - 46808/5 = 0.
-5851, -1, -1/2, 2/3
Determine o so that -1029*o**5/4 + 3981495*o**4/4 - 18106536*o**3 - 32990376*o**2 - 19223232*o - 3696960 = 0.
-4/7, 20, 3851
Factor 3*d**4/2 + 14277*d**3/2 + 11326419*d**2 + 5995446366*d + 5984127084.
3*(d + 1)*(d + 1586)**3/2
Factor -2*w**5/3 - 1366*w**4/3 - 40170*w**3 + 26925642*w**2 + 4799256984*w.
-2*w*(w - 244)*(w + 309)**3/3
Let 21*c**3/4 - 107253*c**2/2 - 91935*c/4 = 0. What is c?
-3/7, 0, 10215
Find s such that 3*s**5/2 + 1251*s**4/2 + 180843*s**3/2 + 9961833*s**2/2 + 66068415*s + 112926576 = 0.
-133, -16, -2
Let -l**4/5 - 4338*l**3 - 117570637*l**2/5 + 94108572*l - 470629636/5 = 0. What is l?
-10847, 2
Factor -2*y**3 - 602*y**2 + 4312*y.
-2*y*(y - 7)*(y + 308)
Factor -5*x**3 - 1061030*x**2 + 2122075*x - 1061040.
-5*(x - 1)**2*(x + 212208)
Factor 3*p**2 + 223884*p - 447780.
3*(p - 2)*(p + 74630)
Suppose 4*o**3 + 118700*o**2 + 880783648*o + 2641282752 = 0. Calculate o.
-14836, -3
Let -o**3/3 - 88*o**2/3 + 883*o/3 + 970/3 = 0. What is o?
-97, -1, 10
Factor -m**2/5 - 12183*m/5 + 12184/5.
-(m - 1)*(m + 12184)/5
Let -32*g**5/13 - 336*g**4/13 + 206*g**3/13 + 314*g**2/13 - 174*g/13 + 22/13 = 0. Calculate g.
-11, -1, 1/4, 1
Factor -q**3/6 - 746*q**2 + 1493*q/2 + 4477/3.
-(q - 2)*(q + 1)*(q + 4477)/6
Determine m so that -4*m**3/3 - 3904*m**2/3 - 7796*m/3 - 3896/3 = 0.
-974, -1
Factor -2*l**2 - 394*l - 19320.
-2*(l + 92)*(l + 105)
Factor 4*a**4 + 296*a**3 - 2364*a**2 - 7056*a + 58320.
4*(a - 6)**2*(a + 5)*(a + 81)
Factor 10*g**3 - 2625*g**2 + 6485*g + 3900.
5*(g - 260)*(g - 3)*(2*g + 1)
Factor -3*g**3 + 234*g**2 - 1275*g - 1512.
-3*(g - 72)*(g - 7)*(g + 1)
Factor 4*h**2/3 + 414976*h + 32288452608.
4*(h + 155616)**2/3
Suppose -r**3/2 + 2047*r**2/2 - 523264*r - 524288 = 0. What is r?
-1, 1024
Determine z, given that -z**2 + 2439*z - 414920 = 0.
184, 2255
Solve -t**4/2 + 4087*t**3 + 32707*t**2/2 + 20444*t + 8178 = 0 for t.
-2, -1, 8178
Factor 3*a**2/4 - 102*a + 13005/4.
3*(a - 85)*(a - 51)/4
Factor -m**3/2 - 71*m**2 + 5152*m - 77616.
-(m - 28)**2*(m + 198)/2
Find s such that -4*s**3 + 152*s**2 + 11860*s + 11704 = 0.
-38, -1, 77
Factor -4*b**3 - 1112*b**2 + 1236*b + 33480.
-4*(b - 6)*(b + 5)*(b + 279)
Factor v**2/3 - 5390*v/3 + 5389/3.
(v - 5389)*(v - 1)/3
Suppose -2*j**5 + 1926*j**4 + 1932*j**3 - 3856*j**2 = 0. What is j?
-2, 0, 1, 964
What is o in 25*o**5 - 9090*o**4 + 833485*o**3 - 1303200*o**2 - 655220*o = 0?
-2/5, 0, 2, 181
Factor -f**3 - 12142*f**2.
-f**2*(f + 12142)
Factor -j**3/2 - 1229*j**2/2 - 174900*j + 8696664.
-(j - 43)*(j + 636)**2/2
Let -855*p**2 - 867*p - 12 = 0. What is p?
-1, -4/285
Factor -3*c**3/8 - 51*c**2 - 2070*c - 21600.
-3*(c + 16)*(c + 60)**2/8
Factor f**4 + 621*f**3 + 1850*f**2 - 2472*f.
f*(f - 1)*(f + 4)*(f + 618)
Let 2*z**2 - 29404*z + 108074402 = 0. What is z?
7351
Suppose -5*u**2 + 152730*u - 1166322645 = 0. Calculate u.
15273
Solve 2604*s**4 - 8*s**3 - 10416*s**2 + 32*s = 0.
-2, 0, 2/651, 2
Find j, given that -3*j**5/8 + 69*j**4/4 - 915*j**3/8 - 2559*j**2/2 - 2295*j/2 = 0.
-5, -1, 0, 18, 34
What is l in 2*l**5/7 + 34*l**4/7 + 12*l**3/7 - 304*l**2/7 + 256*l/7 = 0?
-16, -4, 0, 1, 2
Factor -w**3 - 152*w**2 + 311*w + 462.
-(w - 3)*(w + 1)*(w + 154)
Factor -5*l**3 + 5675*l**2 - 16990*l + 11320.
-5*(l - 1132)*(l - 2)*(l - 1)
Solve -c**2/3 - 48197*c/3 = 0 for c.
-48197, 0
Suppose -2*t**3/13 - 4*t**2 - 440*t/13 - 1200/13 = 0. What is t?
-10, -6
Determine h so that -h**3/4 + 123803*h**2/4 + 30951*h = 0.
-1, 0, 123804
Let -2*t**5/7 + 38*t**4 - 1786*t**3/7 - 26114*t**2/7 - 78924*t/7 - 72000/7 = 0. Calculate t.
-3, -2, 16, 125
Solve -5*y**4 + 145*y**3 - 895*y**2 - 2245*y - 1200 = 0.
-1, 15, 16
Let u**2 - 835*u + 164004 = 0. What is u?
316, 519
Let -2*b**5/11 - 1644*b**4/11 = 0. Calculate b.
-822, 0
Find a such that a**3/7 + 18*a**2/7 - 88*a/7 = 0.
-22, 0, 4
Solve 105*a**2 - 1460*a - 1725 = 0 for a.
-23/21, 15
Factor -4*x**4 - 172*x**3 - 144*x**2 + 1008*x.
-4*x*(x - 2)*(x + 3)*(x + 42)
Factor -5*o**2 - 55*o + 18760.
-5*(o - 56)*(o + 67)
What is l in -l**4/4 - 15709*l**3/2 - 82239225*l**2 - 573535841875*l/2 + 8045631453125/4 = 0?
-10475, 7
Solve -j**2/2 + 705*j - 239932 = 0 for j.
574, 836
Factor -w**3/3 + 3277*w**2/3 - 39000*w + 350028.
-(w - 3241)*(w - 18)**2/3
Let o**4 - 38*o**3 - 681*o**2 + 4118*o - 3400 = 0. Calculate o.
-17, 1, 4, 50
Solve 45*h**2 - 3084*h - 18204 = 0.
-82/15, 74
Suppose -g**2/5 - 62*g/5 + 1064/5 = 0. Calculate g.
-76, 14
What is w in -5*w**5 - 9050*w**4 + 81720*w**3 - 245410*w**2 + 281885*w - 109140 = 0?
-1819, 1, 3, 4
Factor 4*u**4 - 1560*u**3 - 1596*u**2 + 12464*u + 18768.
4*(u - 391)*(u - 3)*(u + 2)**2
Let -3*m**5 - 63*m**4 - 261*m**3 + 1263*m**2 + 5544*m - 6480 = 0. What is m?
-12, -9, -5, 1, 4
What is b in 5*b**3 - 685*b**2 - 8140*b = 0?
-11, 0, 148
Let i**4 + 13536*i**3 + 45819358*i**2 + 91598112*i + 45792289 = 0. Calculate i.
-6767, -1
Solve -d**4 - 64*d**3 + 408*d**2 - 832*d + 560 = 0 for d.
-70, 2
Find p such that 2*p**5/9 - 364*p**4/9 + 2008*p**3/9 + 18220*p**2/9 + 4994*p/3 - 3872 = 0.
-3, 1, 11, 176
Solve -2*v**3/3 + 74902*v**2/3 - 233750416*v - 233775384 = 0.
-1, 1