given that -f**4/3 + 1901141*f**3/3 + 7604596*f**2 + 91255280*f/3 + 121673792/3 = 0.
-4, 1901153
Factor 1768268816453125*x**4 + 157376012401461875*x**3 + 7808606354850*x**2 + 129147908*x + 712.
(x + 89)*(120925*x + 2)**3
Suppose 2*q**3/9 - 6314*q**2/3 + 4467600*q + 22522144544/9 = 0. Calculate q.
-457, 4964
Factor -2*b**2/7 - 2632054*b/7 + 7896180/7.
-2*(b - 3)*(b + 1316030)/7
Determine p, given that -4516*p**5/15 + 124946*p**4/5 - 216934*p**3/3 - 15664*p**2/15 + 96344*p - 640/3 = 0.
-1, 5/2258, 2, 80
What is b in -4*b**2 - 2168276*b - 4336536 = 0?
-542067, -2
Factor m**3 + 14087*m**2/2 + 35207*m/2 + 7041.
(m + 2)*(m + 7041)*(2*m + 1)/2
Find c such that -c**2/6 + 31064*c/3 + 684134 = 0.
-66, 62194
Find c, given that -4*c**2 - 6852*c + 1589760 = 0.
-1920, 207
What is l in -l**3/4 + 789*l**2/4 + 5790681*l/4 - 7213623885/4 = 0?
-2565, 1677
Factor p**3/4 - 16411*p**2/4 + 1563640*p - 150760407.
(p - 16023)*(p - 194)**2/4
Determine m so that 40*m**4 + 20855*m**3 + 1216430*m**2 + 3817975*m - 2866500 = 0.
-455, -63, -4, 5/8
Solve 2*x**3/5 + 2708*x**2/5 + 1069888*x/5 + 26261312 = 0.
-770, -292
Factor l**3/5 - 74863537*l**2/5 + 1401137255605823*l/5 + 1401137330469361/5.
(l - 37431769)**2*(l + 1)/5
Factor 2*q**3/3 + 1621114*q**2/3 + 328506998950*q/3 + 2299469558750/3.
2*(q + 7)*(q + 405275)**2/3
Factor y**2 + 101405346*y + 2570761049344929.
(y + 50702673)**2
Find s such that 5*s**3 - 85020*s**2 + 372056820*s - 89758561280 = 0.
256, 8374
Factor 4*q**3 - 8470420*q**2 + 16940828*q - 8470412.
4*(q - 2117603)*(q - 1)**2
Suppose -z**3/3 - 69485*z**2/3 - 694774*z/3 - 555800 = 0. Calculate z.
-69475, -6, -4
Find t, given that 2*t**4/3 - 391714*t**3/3 - 3003494*t**2 + 391714*t/3 + 9010480/3 = 0.
-23, -1, 1, 195880
Let -8*m**5/5 - 178*m**4 - 4548*m**3 + 20062*m**2 + 54368*m/5 - 26208 = 0. Calculate m.
-63, -52, -5/4, 1, 4
Suppose k**3/7 - 53637*k**2/7 - 912136*k/7 + 965772/7 = 0. Calculate k.
-18, 1, 53654
Suppose -3*p**5/5 - 39*p**4 + 639*p**3/5 + 1851*p**2/5 + 204*p = 0. Calculate p.
-68, -1, 0, 5
Factor 2*g**2/13 - 5082826*g/13 + 147400272/13.
2*(g - 2541384)*(g - 29)/13
Solve -4*f**5 - 212*f**4 + 1340*f**3 + 94708*f**2 + 761288*f + 1157728 = 0 for f.
-52, -11, -2, 23
Suppose 4*f**3 - 627508*f**2 - 4392728*f - 3765216 = 0. What is f?
-6, -1, 156884
Suppose -3*c**4/8 + 11781*c**3/4 + 100383*c**2/2 - 436869*c/4 + 448647/8 = 0. Calculate c.
-19, 1, 7871
Let -a**4/4 - 3607*a**3/4 + 3614*a**2 + 10833*a = 0. Calculate a.
-3611, -2, 0, 6
What is y in -3*y**2/8 + 14074455*y/2 - 66030094515675/2 = 0?
9382970
Find j, given that -2*j**4 + 306*j**3 - 1162*j**2 - 4506*j + 5364 = 0.
-3, 1, 6, 149
Suppose 2*d**3/9 - 1400360*d**2/3 + 245126482986*d - 4412259889444/9 = 0. What is d?
2, 1050269
Factor 4*q**3 - 1669516*q**2 + 174201055776*q + 871047017280.
4*(q - 208692)**2*(q + 5)
Factor -4*r**2 + 81520*r + 6547200.
-4*(r - 20460)*(r + 80)
Suppose 3*z**5/5 + 21*z**4 - 1167*z**3/5 + 1059*z**2/5 + 6024*z/5 + 3696/5 = 0. Calculate z.
-44, -1, 4, 7
Factor 62*v**2 + 18028*v - 148192.
2*(v - 8)*(31*v + 9262)
Determine k, given that -6379980800*k**4/3 - 248819477120*k**3/3 + 1722586005118*k**2/3 + 20332774*k + 180 = 0.
-45, -1/56480, 6
Suppose 3*q**5/7 + 5541*q**4/7 - 75408*q**3 + 2018268*q**2 - 11727072*q = 0. Calculate q.
-1939, 0, 8, 42
Suppose 4*l**2 + 125184304*l + 979444372997776 = 0. Calculate l.
-15648038
Solve 3*t**2 - 533471454*t + 23715982686072843 = 0.
88911909
Factor -x**2 + 21207217*x + 42414438.
-(x - 21207219)*(x + 2)
Factor -x**2/3 + 270977*x + 3251772.
-(x - 812943)*(x + 12)/3
Factor -m**3/7 + 6208*m**2/7 - 277421*m/7 + 530018/7.
-(m - 6163)*(m - 43)*(m - 2)/7
Factor -v**3 - 16965*v**2 + 2664792*v - 104164164.
-(v - 78)**2*(v + 17121)
Solve -r**4/4 + 1673*r**3/4 + 80894*r**2 - 81312*r = 0.
-176, 0, 1, 1848
Factor -l**4 - 2*l**3 + 207*l**2 - 880*l - 1088.
-(l - 8)**2*(l + 1)*(l + 17)
Factor a**2 - 248*a - 2538228.
(a - 1722)*(a + 1474)
Find r such that -3*r**5 - 168*r**4/5 + 9039*r**3 + 11640*r**2 - 224100*r - 270000 = 0.
-60, -5, -6/5, 5, 50
Solve 555*v**5 - 31644*v**4 + 400113*v**3 + 1492020*v**2 - 24300*v = 0 for v.
-3, 0, 3/185, 30
Factor -5*k**2 - 5780125*k + 5780130.
-5*(k - 1)*(k + 1156026)
Solve -2*q**2/7 - 293648*q/7 - 2936280/7 = 0 for q.
-146814, -10
Let c**2/5 - 3934*c/5 - 75107/5 = 0. Calculate c.
-19, 3953
Factor -j**2 - 2207062*j + 26484888.
-(j - 12)*(j + 2207074)
What is u in u**3 - 195048*u**2 + 1170252*u = 0?
0, 6, 195042
Factor -3*d**3 - 2955*d**2 + 3558159*d - 760788801.
-3*(d - 381)**2*(d + 1747)
Factor o**5/8 + 376609*o**4/4 + 141831325977*o**3/8 - 141835845317*o**2 + 283674703538*o.
o*(o - 4)**2*(o + 376613)**2/8
Suppose -4*x**3 + 340*x**2 + 1793792*x - 517091328 = 0. What is x?
-747, 416
Factor -4*j**4 - 64608*j**3 + 3175396*j**2.
-4*j**2*(j - 49)*(j + 16201)
Find o, given that -5*o**2/2 + 34751545*o/2 + 34751555 = 0.
-2, 6950311
Suppose 5*r**4 - 89790*r**3 + 153277485*r**2 - 306285620*r + 153097920 = 0. What is r?
1, 1908, 16048
Factor 2*d**4/17 - 14130*d**3/17 - 425250*d**2/17 - 3192750*d/17.
2*d*(d - 7095)*(d + 15)**2/17
Solve -2*g**3/3 - 3016*g**2/3 + 200968*g/3 - 129952 = 0 for g.
-1572, 2, 62
Determine c so that 5*c**4/2 - 1917*c**3/2 + 113601*c**2/2 - 1851659*c/2 + 361305 = 0.
2/5, 31, 37, 315
Factor -5*k**2/2 + 17883665*k/2 + 8941835.
-5*(k - 3576734)*(k + 1)/2
Factor 4*m**2 - 1254120*m + 1254116.
4*(m - 313529)*(m - 1)
Suppose 5*g**2 + 2105*g + 159390 = 0. What is g?
-322, -99
Factor 3*k**3/5 - 83052*k**2/5 + 562056831*k/5 + 177398468394/5.
3*(k - 13993)**2*(k + 302)/5
Suppose 3*z**3 - 80222149*z**2/4 + 3342589*z/2 + 6685179/4 = 0. Calculate z.
-1/4, 1/3, 6685179
Factor -395*u**3 + 59780*u**2 - 195360*u.
-5*u*(u - 148)*(79*u - 264)
Find c, given that 4*c**3 + 3096*c**2 + 5612*c - 5165160 = 0.
-770, -43, 39
Factor -t**2/3 + 86406*t - 518432/3.
-(t - 259216)*(t - 2)/3
Factor 3*z**3/2 + 1795407*z**2/2 + 17953845*z/2 + 44884425/2.
3*(z + 5)**2*(z + 598459)/2
Suppose -250986125*t**2 + 524715100*t - 274244180 = 0. Calculate t.
7406/7085
Determine g, given that -g**3/4 - 61265*g**2 - 3754502752*g - 135082711296 = 0.
-122512, -36
Let -2*q**3 + 107424*q**2 - 20783802*q + 1007101724 = 0. Calculate q.
97, 53518
Factor 2*i**3/15 - 16544*i**2/5 - 430482*i/5 - 8396596/15.
2*(i - 24842)*(i + 13)**2/15
Let 2*n**2/21 - 76018*n/21 - 3620 = 0. Calculate n.
-1, 38010
Find f, given that f**3 - 115249*f**2 + 1267592*f + 2996188 = 0.
-2, 13, 115238
Determine i so that 2*i**4 - 872*i**3 - 59172*i**2 + 378360*i - 579150 = 0.
-65, 3, 495
Factor x**2/6 + 36422732*x/3 + 663307703171912/3.
(x + 36422732)**2/6
Factor 170644338*l**2 - 628116*l + 578.
2*(9237*l - 17)**2
Solve m**3 - 6877*m**2 - 684065*m + 3592125 = 0.
-103, 5, 6975
Factor 3*f**2 - 15837*f - 63396.
3*(f - 5283)*(f + 4)
Factor 2*c**3/3 - 1812*c**2 + 1321672*c - 873594832/3.
2*(c - 1706)*(c - 506)**2/3
Determine c, given that -4*c**3 - 528276*c**2 + 7396452*c - 25888268 = 0.
-132083, 7
Determine d, given that -3*d**2 + 315824550*d - 8312095531891875 = 0.
52637425
Suppose -175*z**2 - 41799635*z - 2388550 = 0. Calculate z.
-238855, -2/35
Find d such that -d**2/3 + 14337*d + 36388030/3 = 0.
-830, 43841
Factor -5*y**2 - 1835385600*y - 168432015034368000.
-5*(y + 183538560)**2
Factor t**3/8 - 433627*t**2/8 + 758835*t/2.
t*(t - 433620)*(t - 7)/8
Let -27*d**2 - 662515557*d - 147225678 = 0. What is d?
-24537613, -2/9
Find n, given that 2*n**2 - 60622504*n + 459385998903752 = 0.
15155626
Factor -1363*g**3 + 4086*g**2 + 5461*g + 12.
-(g - 4)*(g + 1)*(1363*g + 3)
Determine k, given that -4*k**3 - 824*k**2 + 201028*k - 200200 = 0.
-350, 1, 143
Determine r so that 2*r**3/7 + 56093606*r**2/7 + 393311495119982*r/7 - 1179934990202454/7 = 0.
-14023403, 3
Solve -2*p**3 + 27118608*p**2 - 91927362482208*p = 0 for p.
0, 6779652
Let 3*g**4/5 - 1758669*g**3/5 + 3517329*g**2/5 - 1758663*g/5 = 0. What is g?
0, 1, 586221
Find p, given that 10*p**2 - 5605*p + 713575 = 0.
391/2, 365
What is r in 4*r**4 - 10324*r**3 + 2794052*r**2 + 14291044*r - 17074776 = 0?
-6, 1, 313, 2273
Let -132*t**3/5 + 15436606*t**2/5 - 76945852*t/5 - 233878 = 0. What is t?
-1/66, 5, 116939
Factor 2*l**3 + 8892*l**2 - 1236338*l + 2437092.
2*(l - 133)*(l - 2)*(l + 4581)
Factor l**3/5 - 40627*l**2 + 1218783*l/5 - 1828161/5.
(l - 203129)*(l - 3)**2/5
Fact