e y, given that -y**4/3 - 23*y**3 + 492926*y**2 + 1031685380*y/3 + 66676201304 = 0.
-514, 1473
Solve 2*z**5 - 94*z**4 - 510*z**3 + 4870*z**2 + 16708*z + 11424 = 0 for z.
-8, -2, -1, 7, 51
Factor 2*i**2/7 + 4520*i/7 - 561208/7.
2*(i - 118)*(i + 2378)/7
Determine o, given that -o**4 + 1306394*o**3 - 426794328213*o**2 + 83614052270588*o - 4096473869704804 = 0.
98, 653099
Factor -w**2/11 + 28021*w + 616506.
-(w - 308253)*(w + 22)/11
Let 14*a**3 - 161950*a**2 - 1319772*a + 1250208 = 0. Calculate a.
-9, 6/7, 11576
Solve -m**4/5 + 659*m**3/5 - 25322*m**2/5 - 10544*m/5 + 405408/5 = 0.
-4, 4, 41, 618
Suppose -4*s**4 + 820*s**3 - 21976*s**2 - 2501760*s + 29145600 = 0. Calculate s.
-46, 11, 120
Determine j, given that -2*j**2 + 127150*j + 115270572 = 0.
-894, 64469
Let 21*t**5/5 + 186*t**4 - 5508*t**3 - 13416*t**2 - 16896*t/5 = 0. Calculate t.
-64, -2, -2/7, 0, 22
Find v such that 3*v**5/7 + 32253*v**4/7 + 93250221*v**3/7 + 4940946021*v**2 + 4927629168*v = 0.
-5159, -432, -1, 0
Factor 95*i**2 - 285330*i - 285425.
5*(i + 1)*(19*i - 57085)
Suppose -l**2/2 + 19941*l/2 - 4337860 = 0. What is l?
445, 19496
Factor u**2/5 - 293298*u/5 - 1290608.
(u - 293320)*(u + 22)/5
Let c**5/3 + 155*c**4/3 + 1717*c**3 + 15255*c**2 = 0. What is c?
-113, -27, -15, 0
Factor 4*b**3 - 6996*b**2 - 78688*b + 2196480.
4*(b - 1760)*(b - 13)*(b + 24)
Solve 63*m**4/2 + 37785*m**3/2 - 23429*m**2 + 18034*m/3 + 2404/3 = 0.
-601, -2/21, 2/3
Let s**3 - 4298*s**2 + 136407*s + 447930 = 0. Calculate s.
-3, 35, 4266
Suppose -2*i**4/5 + 859772*i**3/5 + 13586286*i**2 + 261419360*i - 275177600 = 0. What is i?
-40, 1, 429965
Suppose n**5/3 + 5377*n**4/3 + 10513463*n**3/3 + 8831235839*n**2/3 + 898030509640*n - 900977761200 = 0. Calculate n.
-1749, -940, 1
Suppose 2*t**4 - 76122*t**3 - 3200202*t**2 - 17145702*t - 24690744 = 0. Calculate t.
-36, -3, 38103
Factor 3*q**2 + 5622*q - 4921800.
3*(q - 650)*(q + 2524)
Suppose 2*u**2/3 + 6484*u/3 + 979910 = 0. Calculate u.
-2697, -545
Factor -26*m**2/3 - 290902*m/9 - 2181092/9.
-2*(m + 3722)*(39*m + 293)/9
Factor -1628*i**2 + 16002*i/5 - 882/5.
-2*(11*i - 21)*(370*i - 21)/5
Factor 4*b**3 + 19724*b**2 - 177928*b - 434720.
4*(b - 11)*(b + 2)*(b + 4940)
Determine g so that 3*g**2 - 84213513*g + 84213510 = 0.
1, 28071170
Factor -3*r**3 + 2863878*r**2 + 20047293*r.
-3*r*(r - 954633)*(r + 7)
Let -45*v**4 - 92285*v**3 - 48076005*v**2 - 775457415*v + 2761551630 = 0. Calculate v.
-1017, -178/9, 3
Solve -3*r**3/2 + 46023*r**2/2 - 207012*r + 459960 = 0 for r.
4, 5, 15332
Factor -4*o**2/3 - 1610752*o - 4832252/3.
-4*(o + 1)*(o + 1208063)/3
Factor h**3 - 2290717*h**2.
h**2*(h - 2290717)
Find c such that -c**2 + 45401592*c - 515326139033616 = 0.
22700796
Determine c so that -2*c**3 - 940456*c**2 - 110545899656*c + 2653643322048 = 0.
-235126, 24
Factor -4*u**2/5 + 74652*u/5.
-4*u*(u - 18663)/5
Let -2*w**2 + 34254*w - 855100 = 0. Calculate w.
25, 17102
Factor -3*v**3/5 + 150171*v**2/5 - 1870461633*v/5 - 220904506719/5.
-3*(v - 25087)**2*(v + 117)/5
Factor -c**2/2 - 1790*c + 4048149/2.
-(c - 903)*(c + 4483)/2
Find y such that -y**4 + 53258*y**3 - 213016*y**2 = 0.
0, 4, 53254
Factor -p**2/5 - 6163*p/5 + 370230.
-(p - 287)*(p + 6450)/5
Factor 294*l**4 - 2044*l**3 - 23614*l**2/3 + 39712*l + 110976.
2*(l + 3)**2*(21*l - 136)**2/3
Determine m, given that -m**5/4 - 57*m**4 - 16361*m**3/4 - 223749*m**2/2 - 871155*m + 2223450 = 0.
-122, -45, -18, 2
Factor 2*u**2 + 137254*u - 112768936.
2*(u - 812)*(u + 69439)
Factor 3*n**2/8 + 1489659*n/8 - 90146331/4.
3*(n - 121)*(n + 496674)/8
Factor -6*o**3/11 - 57615462*o**2/11 - 115230906*o/11 - 57615450/11.
-6*(o + 1)**2*(o + 9602575)/11
What is x in x**2 + 3060*x + 669051 = 0?
-2823, -237
Factor 2*c**2/3 + 14295512*c/3 + 25545207917768/3.
2*(c + 3573878)**2/3
Factor -6*c**3 - 2295*c**2 + 67788*c + 67512813.
-3*(c + 269)**2*(2*c - 311)
Let 4*v**3 + 132588*v**2 + 1221532620*v + 1974837384676 = 0. What is v?
-15553, -2041
Find s such that -2*s**5 - 468*s**4 - 36558*s**3 - 965132*s**2 - 929040*s = 0.
-84, -79, -70, -1, 0
Determine d so that 3*d**2/2 + 6891672*d + 13783341/2 = 0.
-4594447, -1
Solve 5*h**4/6 - 3955*h**3/6 - 43005*h**2/2 + 439185*h/2 + 240435 = 0 for h.
-39, -1, 9, 822
Solve -4*g**3 + 32320*g**2 - 1926284*g + 11901680 = 0 for g.
7, 53, 8020
Factor 25*n**3 - 535334110*n**2 + 2865826200361740*n - 1146330394491240.
5*(n - 10706682)**2*(5*n - 2)
Determine v so that -261*v**5 - 7896*v**4 + 234036*v**3 + 562944*v**2 + 61632*v - 138240 = 0.
-48, -2, -2/3, 12/29, 20
Find h, given that -h**3 + 21467*h**2 + 236230*h + 601384 = 0.
-7, -4, 21478
Determine m, given that 335*m**5 - 327975*m**4 - 62602715*m**3 - 3691123065*m**2 - 71235364680*m + 2129719500 = 0.
-57, 2/67, 1150
Factor -3*u**3/2 - 5046867*u**2/2 - 10093725*u/2 - 5046861/2.
-3*(u + 1)**2*(u + 1682287)/2
Determine s, given that -2*s**5/3 + 416*s**4/3 - 358*s**3/3 - 11744*s**2/3 + 10520*s - 6624 = 0.
-6, 1, 2, 4, 207
Suppose 2*h**3/11 + 109282*h**2/11 + 49668*h - 655632/11 = 0. Calculate h.
-54636, -6, 1
Factor -2*l**2/11 - 109029836*l/11 - 1485938142273362/11.
-2*(l + 27257459)**2/11
Find h such that -h**3/4 + 160191*h**2/4 + 120145*h + 80097 = 0.
-2, -1, 160194
Determine y so that 17673616*y**3 - 596282748*y**2 - 6809904*y - 19440 = 0.
-6/1051, 135/4
Solve -z**5/3 + 2413*z**4/3 + 240628*z**3/3 + 7111664*z**2/3 + 18210752*z - 20662320 = 0 for z.
-42, -14, 1, 2510
Suppose 7017*n**4 - 554298*n**3 + 1077063*n**2 + 6930*n = 0. What is n?
-15/2339, 0, 2, 77
Let 4*u**5/3 - 5308*u**4/3 - 97288*u**3/3 + 602872*u**2/3 - 139604*u - 371220 = 0. Calculate u.
-23, -1, 3, 1345
Factor w**2/4 + 3086363*w/2 + 9525636567769/4.
(w + 3086363)**2/4
Let 2*u**5 + 16552*u**4 + 82726*u**3 + 132344*u**2 + 66168*u = 0. Calculate u.
-8271, -2, -1, 0
Find c, given that -3*c**2 + 84426*c - 127251936 = 0.
1598, 26544
Determine b, given that -b**3 + 1214466*b**2 - 368723414880*b - 5162365846400 = 0.
-14, 607240
Factor 5*i**2/3 + 116643962*i/3 + 15552528.
(i + 23328792)*(5*i + 2)/3
Factor r**3 + 554752*r**2 + 4437959*r + 3883208.
(r + 1)*(r + 7)*(r + 554744)
Factor k**2/6 - 37544*k - 6308960/3.
(k - 225320)*(k + 56)/6
Factor -3*k**4 + 9165*k**3 - 27477*k**2 + 27471*k - 9156.
-3*(k - 3052)*(k - 1)**3
Suppose 3*n**4 + 94824*n**3 + 1042773*n**2 + 2274984*n = 0. What is n?
-31597, -8, -3, 0
Let 12*o**5 - 8416*o**4 - 249316*o**3 - 1326776*o**2 + 7197952*o - 2242560 = 0. Calculate o.
-16, 1/3, 3, 730
Suppose -5*f**4 - 7435*f**3 - 1796550*f**2 - 123632820*f - 574176600 = 0. What is f?
-1206, -138, -5
Find u, given that -u**3/3 + 10319033*u**2/3 - 8873535118085*u - 8873538557763 = 0.
-1, 5159517
Factor o**4 + 671616*o**3 + 112715286574*o**2 - 17370101992320*o + 668902269291025.
(o - 77)**2*(o + 335885)**2
Suppose 2*v**5/5 - 7768*v**4/5 - 3102048*v**3/5 - 389172196*v**2/5 - 14999744194*v/5 + 104688758364/5 = 0. Calculate v.
-127, 6, 4259
Solve 2*t**3/9 + 74530*t**2/3 - 1416792*t = 0 for t.
-111852, 0, 57
Solve 8649*y**2/4 + 3598635*y/2 + 1497303025/4 = 0.
-38695/93
Suppose 5*x**5 + 6623*x**4 + 640977*x**3/5 + 1994149*x**2/5 + 1845622*x/5 + 91872 = 0. Calculate x.
-1305, -16, -11/5, -1, -2/5
Factor -156408245*m**2 - 129645740*m - 26865620.
-5*(5593*m + 2318)**2
Factor -2*u**2/7 - 42892*u/7 - 30613808.
-2*(u + 7924)*(u + 13522)/7
Determine w so that 3*w**2/7 + 83002194*w/7 - 166004400/7 = 0.
-27667400, 2
Factor 45*g**4 - 49103940*g**3 + 13395603935780*g**2 - 35721348608160*g + 23814174208320.
5*(g - 545598)**2*(3*g - 4)**2
What is h in -h**3 + 1735*h**2 - 745275*h + 94627125 = 0?
285, 1165
Suppose 2*h**3 + 138536*h**2 + 12037834*h + 23521540 = 0. Calculate h.
-69181, -85, -2
Factor c**2/2 + 1685452*c - 16854570.
(c - 10)*(c + 3370914)/2
Factor 3*v**2/2 + 4375773*v/2 + 85325292.
3*(v + 39)*(v + 1458552)/2
Let -l**2/4 + 40920*l + 409225 = 0. Calculate l.
-10, 163690
Solve -11*i**5/7 + 63472*i**4/7 - 898624*i**3/7 + 3961040*i**2/7 - 5249616*i/7 + 828864/7 = 0 for i.
2/11, 2, 6, 5756
Determine q, given that -153*q**3/7 + 55626*q**2/7 - 178473*q/7 + 38916/7 = 0.
4/17, 3, 1081/3
Let 16*z**2/11 + 31426*z/11 + 378688/11 = 0. What is z?
-1952, -97/8
Determine c so that -c**2/4 - 7287399*c/4 + 40080755/2 = 0.
-7287410, 11
Let -4*w**4/5 - 5756*w**3/5 - 208592*w**2/5 - 1535344*w/5 + 1749696/5 = 0. What is w?
-1402, -26, -12, 1
Let 5*q*