
Factor -2*a**3 + 199862*a**2 + 30413680*a + 1156158816.
-2*(a - 100083)*(a + 76)**2
Determine m so that -4*m**4/3 - 82520*m**3/3 - 6740068*m**2/3 - 2219184*m = 0.
-20548, -81, -1, 0
Factor h**2/2 - 48835535*h/2 - 24417768.
(h - 48835536)*(h + 1)/2
Determine d so that 2*d**3/17 - 16740*d**2/17 + 34520850*d/17 - 21017178000/17 = 0.
1365, 5640
Let -3*x**4/2 + 1486641*x**3/2 - 736709407419*x**2/8 + 276261010389*x - 207194503446 = 0. Calculate x.
3/2, 247772
Suppose 45*l**5 + 46074*l**4 + 2014041*l**3 - 4448148*l**2 + 2669652*l - 281664 = 0. Calculate l.
-978, -48, 2/15, 1
Find i, given that -i**5/3 + 5075*i**4/3 - 3378*i**3 - 60862*i**2/3 - 71017*i/3 - 8455 = 0.
-1, 5, 5073
Factor 2*t**2/7 - 6695870*t/7 + 214265792/7.
2*(t - 3347903)*(t - 32)/7
Factor -5*u**3 + 2460*u**2 - 21625*u - 53130.
-5*(u - 483)*(u - 11)*(u + 2)
Find s, given that -3*s**4 - 636*s**3 + 600339*s**2 + 4228944*s + 3627972 = 0.
-563, -6, -1, 358
Solve n**4 - 547*n**3/3 - 7915*n**2/3 - 23761*n/3 + 2940 = 0.
-9, -5, 1/3, 196
Let 2*d**4/13 + 7562*d**3/13 + 7059564*d**2/13 - 168920424*d/13 - 2387618640/13 = 0. What is d?
-1902, -10, 33
Let 2*x**3/17 + 27662*x**2/17 + 94911024*x/17 - 5108284584/17 = 0. What is x?
-6942, 53
Solve -3*y**2 + 38910204*y - 126166997943468 = 0 for y.
6485034
Solve -298*y**2/3 - 309932*y/3 - 4160 = 0 for y.
-1040, -6/149
Let 12*k**2 - 4578088*k + 1526028 = 0. Calculate k.
1/3, 381507
Solve 48*y**5/5 - 377444*y**4/5 - 283506*y**3/5 + 622746*y**2 + 3774944*y/5 - 226488 = 0.
-2, 1/4, 3, 47185/6
Determine a, given that 7*a**4 - 87642*a**3 - 1554629*a**2 - 1040688*a + 426292 = 0.
-17, -1, 2/7, 12538
Factor v**3/3 - 10466*v**2 + 564003*v + 5924016.
(v - 31344)*(v - 63)*(v + 9)/3
Find a, given that 4*a**3 + 7840*a**2 + 2927988*a + 213898968 = 0.
-1494, -369, -97
Suppose -i**5 - 674670*i**4 - 2024001*i**3 = 0. What is i?
-674667, -3, 0
What is i in -5*i**3 - 9750*i**2 - 58285*i + 68040 = 0?
-1944, -7, 1
Factor 4*y**3/3 - 19372796*y**2/3 - 38745604*y/3 - 19372804/3.
4*(y - 4843201)*(y + 1)**2/3
Determine r so that -r**3/4 + 199*r**2/2 + 157535*r/4 = 0.
-245, 0, 643
Determine i, given that -2*i**5/9 - 136*i**4/9 + 1712*i**3/9 + 11836*i**2/9 - 190*i - 1300 = 0.
-78, -5, -1, 1, 15
Find q, given that 3*q**5 - 45930*q**4 + 235548552*q**3 - 410469649008*q**2 + 29889062541744*q - 58138130141088 = 0.
2, 74, 5078
Determine v so that v**4/2 + 8131*v**3/2 + 2410395*v**2/2 + 7125533*v/2 - 4772030 = 0.
-7823, -305, -4, 1
Factor -59120721*w**3 + 69739230*w**2 - 20566225*w.
-w*(7689*w - 4535)**2
Suppose -15*l**3/4 - 10865*l**2/4 - 57545*l/4 - 17975/4 = 0. What is l?
-719, -5, -1/3
Factor -x**2 + 822988*x + 8229980.
-(x - 822998)*(x + 10)
Factor 2*r**3/13 - 26196*r**2/13 + 9487170*r/13 - 871231600/13.
2*(r - 12728)*(r - 185)**2/13
Solve 2*l**2 + 331779940*l + 13759741073300450 = 0.
-82944985
Find n such that -9*n**5/8 - 1818165*n**4/4 - 1515123*n**3/2 + 6666573*n**2/4 - 3636315*n/8 = 0.
-404035, -3, 0, 1/3, 1
Solve -4*r**3 + 236292*r**2 - 7086060*r + 53138700 = 0 for r.
15, 59043
Suppose -4*o**3 + 404056*o**2 + 24257760*o = 0. What is o?
-60, 0, 101074
Find o, given that 2*o**4 + 442*o**3 + 17350*o**2 + 222950*o + 735000 = 0.
-175, -21, -20, -5
Factor 2*t**2 - 403298436*t + 20331203560005762.
2*(t - 100824609)**2
Factor -5*t**2 + 1773580*t - 15961815.
-5*(t - 354707)*(t - 9)
Factor -s**3 + 8691*s**2 + 12205294*s - 24445344.
-(s - 9921)*(s - 2)*(s + 1232)
Factor 3*y**2 - 272583*y - 15001140.
3*(y - 90916)*(y + 55)
Determine a, given that 2*a**2/11 + 99790*a/11 - 499000/11 = 0.
-49900, 5
Solve -3*i**2 - 175588776*i - 2569284854764848 = 0 for i.
-29264796
Let -5*g**2/3 + 545*g/3 + 273170 = 0. What is g?
-354, 463
Factor 2*k**2 + 11388*k - 36095174.
2*(k - 2267)*(k + 7961)
Suppose p**3/11 - 104*p**2/11 + 1047*p/11 - 2232/11 = 0. Calculate p.
3, 8, 93
Let 75*g**4 - 241431*g**3 - 465636*g**2 + 5836596*g - 463824 = 0. What is g?
-6, 2/25, 4, 3221
Factor -2*p**3 + 22030*p**2 - 637188*p.
-2*p*(p - 10986)*(p - 29)
Factor 3*z**2/4 + 36176442*z + 436244985259788.
3*(z + 24117628)**2/4
Factor 3*d**2/7 - 1115487*d/7 - 10039626/7.
3*(d - 371838)*(d + 9)/7
Factor -2*y**3 - 1622*y**2 - 299336*y.
-2*y*(y + 284)*(y + 527)
Factor p**2/5 - 7557876*p/5 - 52905181/5.
(p - 7557883)*(p + 7)/5
Determine k, given that -4*k**4 - 26548*k**3 + 345608*k**2 - 1276656*k + 957600 = 0.
-6650, 1, 6
Solve 2*i**2/3 - 5774*i + 37343440/3 = 0 for i.
4045, 4616
Factor j**4/4 + 13097*j**3/2 - 8035677*j**2 + 6442898311*j/2 - 1713500618605/4.
(j - 397)**3*(j + 27385)/4
Determine t, given that -5*t**2 - 228367175*t + 456734370 = 0.
-45673437, 2
Solve -4*l**2/3 - 4784720*l/3 - 1430846592400/3 = 0.
-598090
Suppose -8*y**2 - 200030*y + 15097558 = 0. Calculate y.
-25079, 301/4
Factor a**4/5 + 521*a**3/5 - 75361*a**2 + 47033883*a/5.
a*(a - 221)**2*(a + 963)/5
Let f**2 - 1339730*f + 1339729 = 0. What is f?
1, 1339729
Factor -8*t**2/3 - 1898693*t/6 + 1305359/6.
-(t + 118669)*(16*t - 11)/6
Solve -o**3/3 - 62624*o**2/3 - 2229773*o = 0 for o.
-62517, -107, 0
Determine t, given that -2*t**4 - 18122*t**3 - 1366018*t**2 - 2677678*t - 1329780 = 0.
-8985, -74, -1
Determine f so that 61009*f**3/7 - 87060831*f**2/7 + 1409880*f/7 - 5708/7 = 0.
2/247, 1427
Let -4*f**4 - 3147972*f**3 + 25184032*f**2 = 0. What is f?
-787001, 0, 8
What is k in 2*k**4/11 + 7014*k**3 + 995266428*k**2/11 + 4333277844376*k/11 + 518078904628272/11 = 0?
-12818, -123
Let 5*p**2/4 - 24298415*p/2 + 118082594302445/4 = 0. Calculate p.
4859683
Suppose 4*l**3 - 6916*l**2 - 161064580*l + 502436560900 = 0. Calculate l.
-6841, 4285
Find k such that 2*k**3/5 - 386*k**2 - 4984624*k/5 - 9961512/5 = 0.
-1167, -2, 2134
Factor 2*f**2/23 + 22262*f/23 + 2053068/23.
2*(f + 93)*(f + 11038)/23
Solve -d**3 + 1728*d**2 + 347260*d + 687600 = 0.
-180, -2, 1910
Factor -1792*g**3 - 1278736*g**2 - 910284823*g/4 + 392003283/2.
-(7*g - 6)*(32*g + 11431)**2/4
Solve -388090*t**2/3 + 2326570*t/3 - 6973805/6 = 0.
1181/394
What is a in a**3/2 + 6573*a**2 - 1497831*a/2 + 2890462 = 0?
-13259, 4, 109
Solve -2*s**2/5 + 12563486*s/5 + 37690476/5 = 0.
-3, 6281746
Solve -a**2/4 - 875*a + 278859 = 0 for a.
-3794, 294
Find s, given that -142*s**3 + 43698*s**2 - 31682*s - 75522 = 0.
-1, 123/71, 307
Determine i, given that i**2/9 + 130402*i/9 + 260792/3 = 0.
-130396, -6
Factor 2*g**2/9 + 1500166*g/9 - 44010032/3.
2*(g - 88)*(g + 750171)/9
Factor 3*b**4 + 6333*b**3 + 545670*b**2.
3*b**2*(b + 90)*(b + 2021)
Let -b**2/2 + 15279*b - 21958776 = 0. Calculate b.
1512, 29046
Find n such that -5*n**2 + 11066980*n - 6123902316020 = 0.
1106698
Solve -3*y**5 + 24*y**4 + 1341*y**3 - 8106*y**2 - 24936*y + 31680 = 0 for y.
-20, -3, 1, 8, 22
Solve 252*f**5 - 20430020*f**4 + 112521776*f**3 - 175751936*f**2 + 68744064*f - 7782336 = 0 for f.
2/9, 2/7, 2, 3, 81066
Factor -5*p**2 + 150939400*p - 1139135123618000.
-5*(p - 15093940)**2
Factor 4*d**3 - 23000*d**2 + 206396*d + 1607480.
4*(d - 5741)*(d - 14)*(d + 5)
Determine d, given that 2*d**4/5 - 16496*d**3/5 + 148062*d**2/5 + 1977616*d/5 - 2109184/5 = 0.
-8, 1, 16, 8239
Determine d, given that 5*d**2 - 243060*d + 46483200 = 0.
192, 48420
Determine s so that s**2 + 61874608*s + 957116778788416 = 0.
-30937304
Factor 2*z**2/7 + 11672102*z/7 - 46688440/7.
2*(z - 4)*(z + 5836055)/7
Suppose 2*u**2 - 30420882*u = 0. Calculate u.
0, 15210441
Solve 2*q**2/9 + 60766*q/9 + 788944/3 = 0 for q.
-30344, -39
Find k, given that -2*k**4/7 + 34*k**3/7 + 1594*k**2/7 - 24306*k/7 - 12312 = 0.
-27, -3, 19, 28
What is k in 4*k**5 + 100*k**4 - 13476*k**3 + 39436*k**2 + 448*k - 52560 = 0?
-73, -1, 2, 45
Let -c**2/2 + 15737325*c/2 - 7868662 = 0. Calculate c.
1, 15737324
What is h in 20*h**5 + 1428*h**4 + 20128*h**3 - 64176*h**2 - 28800*h = 0?
-50, -24, -2/5, 0, 3
Let 10*z**5 - 2885*z**4 + 145725*z**3 + 76475*z**2 - 145735*z - 73590 = 0. Calculate z.
-1, -1/2, 1, 66, 223
Factor 2*j**3/13 + 1036*j**2/13 - 1087040*j/13 - 595940608/13.
2*(j - 746)*(j + 632)**2/13
Factor 8*x**2/5 + 4247853*x/5 - 1592946/5.
(x + 530982)*(8*x - 3)/5
Let 2*r**3 - 8866*r**2 + 8563284*r = 0. What is r?
0, 1422, 3011
Suppose -l**2 + 28264*l - 56524 = 0. What is l?
2, 28262
Suppose 4*a**2 - 1101056*a - 11010960 = 0. Calculate a.
-10, 275274
Find s such that -2*s**5 + 2556*s**4 - 934606*s**3 + 104196020*s**2 + 319168704*s + 214035520