 = 0. Calculate k.
-151, -7, 1, 10/3
Suppose 291*f**5/4 + 6963*f**4/4 + 26469*f**3/2 + 26520*f**2 - 41568*f = 0. Calculate f.
-866/97, -8, 0, 1
Find h such that h**4/2 + 2931*h**3/2 + 95065*h**2 + 1489800*h = 0.
-2865, -40, -26, 0
Solve -2*f**5 - 8848*f**4 - 9803568*f**3 - 39108160*f**2 - 39072800*f = 0.
-2210, -2, 0
Solve -4*n**2 - 163024*n - 16424620 = 0 for n.
-40655, -101
Factor -4*p**2 + 38184*p - 63416420.
-4*(p - 7405)*(p - 2141)
Let -4*i**2 + 44980*i - 12707800 = 0. Calculate i.
290, 10955
Solve 4*n**3/5 + 87916*n**2/5 + 31883756*n + 75566820468/5 = 0 for n.
-20037, -971
Factor -315*z**4 + 688550*z**3 - 376226995*z**2 - 47785960*z.
-5*z*(z - 1093)**2*(63*z + 8)
Suppose m**2/4 - 105337433*m/2 + 11095974791029489/4 = 0. Calculate m.
105337433
Find p, given that -2*p**3/21 + 760*p**2/7 - 598600*p/21 = 0.
0, 410, 730
What is g in 2*g**3 - 35736*g**2 + 499938*g - 464204 = 0?
1, 13, 17854
Determine a, given that 2*a**3 + 23158*a**2 + 370144*a + 1480064 = 0.
-11563, -8
Solve -q**3/2 + 16630885*q**2/2 - 34573262881336*q - 242013247626206 = 0 for q.
-7, 8315446
Solve -2*v**3/11 + 9366*v**2/11 + 15382*v + 159834/11 = 0.
-17, -1, 4701
Factor 9*t**2/5 - 3690664*t/5 - 820148/5.
(t - 410074)*(9*t + 2)/5
Determine b so that -5*b**5 - 275*b**4 + 81105*b**3 + 163015*b**2 + 81640*b = 0.
-157, -1, 0, 104
Let -2*k**2 + 137124*k - 822672 = 0. What is k?
6, 68556
Solve -152*n**5 + 54*n**4 + 1060*n**3 + 534*n**2 - 296*n + 24 = 0.
-2, -1, 2/19, 1/4, 3
Let -35*z**5 + 113375*z**4 + 2252130*z**3 - 11150060*z**2 + 13949480*z - 3128640 = 0. Calculate z.
-24, 2/7, 2, 3259
Factor -5*d**3 - 5086015*d**2 - 1293374886000*d + 1293379972020.
-5*(d - 1)*(d + 508602)**2
Let 4*f**4 - 44952*f**3 + 583700*f**2 = 0. Calculate f.
0, 13, 11225
Factor 5*v**3/3 + 45635*v**2/3 + 17398055*v/3 + 564864995.
5*(v + 197)**2*(v + 8733)/3
Find s such that 2*s**2/9 - 501070*s + 4509628/9 = 0.
1, 2254814
Factor 4*d**3 + 356088*d**2 - 8548624*d - 18521568.
4*(d - 26)*(d + 2)*(d + 89046)
Solve t**5/7 + 19277*t**4/7 + 1593894*t**3/7 + 2171664*t**2 = 0 for t.
-19194, -72, -11, 0
Let -2*y**2 + 145220*y - 10300538 = 0. What is y?
71, 72539
Solve 2*d**5/7 - 63828*d**4/7 - 24*d**3/7 + 765904*d**2/7 + 1021248*d/7 = 0.
-2, 0, 4, 31914
Determine w so that 4*w**4 + 2085528*w**3 - 6256620*w**2 + 16*w + 8342160 = 0.
-521385, -1, 2
Factor -2*p**2/19 - 29724*p/19 + 16188176/19.
-2*(p - 526)*(p + 15388)/19
Factor 4*b**4 - 1764*b**3 - 91936*b**2 + 93696*b.
4*b*(b - 488)*(b - 1)*(b + 48)
Solve 519157716676*c**2 + 30262092*c + 441 = 0 for c.
-21/720526
Let -3*r**4 - 58119*r**3 + 10027107*r**2 + 20228559*r + 10143336 = 0. Calculate r.
-19544, -1, 173
Find a such that 107*a**3 - 373112*a**2 + 756251*a - 20910 = 0.
3/107, 2, 3485
Let -25*g**5/3 - 2255*g**4/3 - 20425*g**3 - 577565*g**2/3 - 1320580*g/3 - 80500 = 0. Calculate g.
-50, -23, -14, -3, -1/5
Let -r**5/3 + 313085*r**4 - 220551397622*r**3/3 + 220545449036*r**2 + 735161932920*r = 0. What is r?
-2, 0, 5, 469626
Factor -305534976*s**2/5 - 2140800*s - 18750.
-6*(7136*s + 125)**2/5
Solve n**5/3 - 1343204*n**4/3 + 451038500545*n**3/3 + 2405668962106*n**2 - 5262374633820*n + 2706359952600 = 0 for n.
-18, 1, 671610
What is t in -4*t**3/7 + 1148*t**2 - 95856*t/7 = 0?
0, 12, 1997
Suppose r**2/4 - 150337*r/4 + 37584 = 0. What is r?
1, 150336
Solve 2*t**3 + 142462*t**2 + 284910*t - 427374 = 0.
-71229, -3, 1
Factor f**2 - 3747461*f - 3747462.
(f - 3747462)*(f + 1)
Determine r, given that -23*r**2/2 - 12145*r/6 - 220000/3 = 0.
-125, -3520/69
Determine n so that 2*n**3/9 - 15230*n**2/9 - 117428*n/3 + 794352 = 0.
-36, 13, 7638
Let 4*z**4/3 + 81164*z**3 + 1664056900*z**2 + 35495123427500*z/3 + 6990051964500000 = 0. What is z?
-20075, -648
Determine p, given that -3*p**3 + 26580*p**2 + 907089*p + 880506 = 0.
-33, -1, 8894
What is a in -a**2/4 - 69473*a/4 - 382041/2 = 0?
-69462, -11
Factor -y**2 + 266225*y - 10647400.
-(y - 266185)*(y - 40)
What is y in y**3/3 - 474054*y**2 + 4740515*y - 35553800/3 = 0?
5, 1422152
Suppose 46*b**3/15 + 9208*b**2/15 + 137024*b/15 + 23552/15 = 0. What is b?
-184, -16, -4/23
Determine w so that 1659*w**3 - 3175320*w**2 + 1519382007*w + 5495094 = 0.
-2/553, 957
What is p in -2*p**2/3 - 29673586*p/3 + 326409688/3 = 0?
-14836804, 11
What is w in 32*w**5 - 4296*w**4 + 188012*w**3 - 2858076*w**2 + 5785220*w + 3630900 = 0?
-1/2, 3, 35, 247/4
Determine v so that -2*v**2/15 - 1569968*v/5 - 4709894/3 = 0.
-2354947, -5
Factor -5*t**2 + 73475*t - 28867820.
-5*(t - 14291)*(t - 404)
Factor -3*r**3 + 5433*r**2 - 54102*r + 129672.
-3*(r - 1801)*(r - 6)*(r - 4)
Find z such that 2*z**5 - 546*z**4 + 16318*z**3 - 115134*z**2 + 99360*z = 0.
0, 1, 9, 23, 240
Factor -2*t**2/21 + 51596*t/21 + 3021088.
-2*(t - 26974)*(t + 1176)/21
Factor -x**2/3 + 9002726*x/3 - 20262268857769/3.
-(x - 4501363)**2/3
Factor -j**2/2 + 2550*j + 40722192.
-(j - 11928)*(j + 6828)/2
Find m such that -8*m**2 + 89241988*m - 44620992 = 0.
1/2, 11155248
Suppose -741*a**3/4 - 11806359*a**2/4 - 8876997*a - 71685 = 0. What is a?
-15930, -3, -2/247
Factor 3*i**2 + 900789120*i + 67618419892531200.
3*(i + 150131520)**2
Factor 3*y**2/7 + 7725*y/7 - 31236.
3*(y - 28)*(y + 2603)/7
Factor 4*m**2 + 387448*m - 9301056.
4*(m - 24)*(m + 96886)
Suppose -g**2/6 + 84382*g + 49119733/6 = 0. What is g?
-97, 506389
Factor -4*o**3 + 1156*o**2 + 138688*o - 139840.
-4*(o - 380)*(o - 1)*(o + 92)
Determine h so that -2*h**3/7 - 11608*h**2/7 - 46406*h/7 - 34800/7 = 0.
-5800, -3, -1
Find g, given that g**4 + 134734*g**3 + 9023777*g**2 + 146516540*g - 155675052 = 0.
-134667, -34, 1
Solve 2*l**2/5 - 13808*l/5 - 12530784/5 = 0.
-812, 7716
Let 7*n**2/3 + 5701436*n/3 - 271497 = 0. What is n?
-814491, 1/7
Solve -8*o**3/9 - 2678*o**2/9 - 123118*o/9 + 4089932/9 = 0.
-271, -343/4, 22
Factor -2*d**3/7 - 62113426*d**2/7 - 68894231144576*d + 1446779413056984/7.
-2*(d - 3)*(d + 15528358)**2/7
Suppose 2*z**3/11 + 42*z**2 - 58824*z/11 + 117720 = 0. What is z?
-327, 30, 66
Suppose c**4/3 - 12262*c**3 + 337529045*c**2/3 + 4741838244*c + 48035681100 = 0. Calculate c.
-25, -17, 18414
Find i such that i**3/5 - 12976*i**2 + 1054038452*i/5 - 54634704592/5 = 0.
52, 32414
Let 2*o**4/9 + 448*o**3/9 + 2962*o**2/3 - 448*o/9 - 8888/9 = 0. What is o?
-202, -22, -1, 1
Factor 15*k**2/8 + 259495581*k/2 - 103798233/2.
3*(k + 69198822)*(5*k - 2)/8
What is v in 4205*v**5 - 216519945*v**4 - 418136350*v**3 + 679193550*v**2 - 45313855*v + 772395 = 0?
-3, 1/29, 1, 51493
Factor -w**2 + 111823454*w - 3126121216122529.
-(w - 55911727)**2
Factor -3*y**2 + 947007*y.
-3*y*(y - 315669)
Factor -o**2/6 + 19939445*o/3 - 13292963/2.
-(o - 39878889)*(o - 1)/6
Determine h so that 12*h**3 + 5363750*h**2 + 22348700*h - 22348750 = 0.
-446975, -5, 5/6
Determine l so that 2*l**4/15 - 3256*l**3/3 + 5020426*l**2/15 - 4906492*l/15 - 2001664 = 0.
-2, 3, 320, 7819
Let -2*r**5/19 + 1262*r**4/19 - 254716*r**3/19 + 14311396*r**2/19 + 414177918*r/19 + 2466452142/19 = 0. What is r?
-11, 191, 231
Determine f, given that 5*f**4 + 137895*f**3 + 137830*f**2 - 1654680*f = 0.
-27578, -4, 0, 3
What is d in -2*d**5/9 + 11440*d**4/9 - 20801942*d**3/9 + 9924863368*d**2/9 + 3839958440416*d/9 - 3849862513280/9 = 0?
-245, 1, 1988
Solve -4*u**4 - 5292*u**3 + 58556*u**2 - 186660*u + 133400 = 0.
-1334, 1, 5
What is b in b**2 + 63329*b - 2661582 = 0?
-63371, 42
Let -2*t**4/13 - 476*t**3/13 - 2242*t**2/13 + 1568*t - 27960/13 = 0. What is t?
-233, -10, 2, 3
Determine b, given that -5*b**4 + 120000*b**3 - 722156760*b**2 + 25881120000*b - 232580684880 = 0.
18, 11982
Find g such that -2*g**2/11 + 8519932*g/11 - 9073655160578/11 = 0.
2129983
Solve 2*g**3/3 + 996*g**2 - 343800*g + 26910000 = 0.
-1794, 150
Factor 2*f**2/11 - 38376752*f + 2025065754345568.
2*(f - 105536068)**2/11
Let -4*k**2 + 21272664*k - 28282889603556 = 0. What is k?
2659083
Let x**3 + 7430*x**2 + 7066079*x - 7073510 = 0. Calculate x.
-6310, -1121, 1
Determine p so that 450*p**2 + 17097*p - 114 = 0.
-38, 1/150
Let -49*c**5/3 + 12275165*c**4/3 - 768820324367*c**3/3 + 5820414598567*c**2/3 - 1045889938656*c + 146424264084 = 0. What is c?
2/7, 7, 125253
Find j, given that 35*j**2/4 + 73425*j/4 - 597205/2 = 0.
-2114, 113/7
Factor i**4/6 - 276755*i**3/3 + 25530187475*i**2/2 + 382973569000*i/3 + 957451220000/3.
(i - 276760)**2*(i + 5)**2/6
Find i 