244553, 1
Factor 2866*c**3 + 312390*c**2 - 436*c.
2*c*(c + 109)*(1433*c - 2)
Let -4*n**2/3 + 1990280*n/3 + 3980576/3 = 0. What is n?
-2, 497572
Factor 4*b**3 + 1608*b**2 - 1210444*b + 1208832.
4*(b - 384)*(b - 1)*(b + 787)
Factor -4*m**2/7 + 82866888*m/7 - 429182570425284/7.
-4*(m - 10358361)**2/7
Factor 2*z**2 + 39292*z + 32024976.
2*(z + 852)*(z + 18794)
Factor 2*p**2/17 + 326040*p/17 - 45684800/17.
2*(p - 140)*(p + 163160)/17
Factor -3*o**2 - 5127*o + 231396.
-3*(o - 44)*(o + 1753)
Find g, given that -25*g**3 - 4530*g**2 - 85455*g - 216270 = 0.
-801/5, -18, -3
Factor m**3/5 + 87544*m**2/5 - 4730239*m/5 + 4642694/5.
(m - 53)*(m - 1)*(m + 87598)/5
Solve 3*w**5/2 + 10527*w**4 + 2309895*w**3 - 16569582*w**2 + 52334727*w/2 - 11918205 = 0.
-6791, -234, 1, 5
Factor 3*z**2 - 397496250*z + 13166939063671875.
3*(z - 66249375)**2
Factor 243*y**4 - 67917177*y**3 - 30185448*y**2 - 3353940*y.
3*y*(y - 279495)*(9*y + 2)**2
Factor -a**2 - 2055*a + 215500.
-(a - 100)*(a + 2155)
Factor -4*w**2 + 41236*w - 5132232.
-4*(w - 10183)*(w - 126)
Suppose -355008*x**3 - 25261296*x**2 - 3958875*x - 155277 = 0. What is x?
-71, -27/344
Factor 2*x**4/5 - 8646096*x**3/5 + 9344372005152*x**2/5.
2*x**2*(x - 2161524)**2/5
Factor -2*l**2/19 + 3865332*l/19.
-2*l*(l - 1932666)/19
Factor 2*n**2/13 + 38310760*n/13 + 183464291472200/13.
2*(n + 9577690)**2/13
Find t, given that -4*t**2 + 100124*t - 13839952 = 0.
139, 24892
Factor 5*z**2 - 12214405*z.
5*z*(z - 2442881)
Factor a**2/3 - 94702*a/3 - 94703/3.
(a - 94703)*(a + 1)/3
Solve 5*k**2 + 70030*k - 23727735 = 0.
-14337, 331
Factor -2*g**3/5 + 1166262*g**2/5 - 170020298448*g/5 - 170021464712/5.
-2*(g - 291566)**2*(g + 1)/5
Determine l so that 3*l**2 + 8929167*l - 107150436 = 0.
-2976401, 12
Let -49*q**3 + 137459*q**2 + 3002152*q + 16328752 = 0. Calculate q.
-76/7, 2827
What is w in -3*w**4 + 326460*w**3 + 12409593*w**2 + 23839794*w + 11756664 = 0?
-36, -1, 108858
Find m such that -m**2/5 - 9056*m/5 + 11261712/5 = 0.
-10164, 1108
Suppose 10*w**3/9 - 1503892*w**2/9 + 4812310*w/9 + 2105404/3 = 0. Calculate w.
-1, 21/5, 150386
Solve -l**4/5 - 4*l**3 + 5292*l**2/5 - 146176*l/5 + 192512 = 0 for l.
-94, 10, 32
Factor 2*t**3/13 + 350112*t**2/13 - 1050354*t/13.
2*t*(t - 3)*(t + 175059)/13
Find k such that -3*k**5/5 - 2676*k**4/5 - 817911*k**3/5 - 92332518*k**2/5 - 2032812132*k/5 + 425193048 = 0.
-302, -259, -30, 1
Factor -4692*x**4/5 - 40975237*x**3/5 - 119278920729*x**2/5 - 23148065939043*x - 24667584031/5.
-(x + 2911)**3*(4692*x + 1)/5
Find z such that 3*z**4 - 493398*z**3 + 20232452487*z**2 + 4469065866540*z + 246127418258700 = 0.
-110, 82343
Determine u, given that 5*u**4 + 8360*u**3 + 1092515*u**2 - 1100880*u = 0.
-1529, -144, 0, 1
Let -2*x**5 + 21484*x**4 - 236154*x**3 + 772664*x**2 - 343264*x - 1373568 = 0. What is x?
-1, 4, 10731
Suppose 22*n**3 - 25560*n**2 - 471928*n - 84960 = 0. What is n?
-18, -2/11, 1180
Let -2*z**4 - 1246272*z**3 + 34896792*z**2 - 244280288*z = 0. What is z?
-623164, 0, 14
Determine d so that -5*d**5 + 18610*d**4 - 277935*d**3 - 333790*d**2 + 593120*d = 0.
-2, 0, 1, 16, 3707
Determine t, given that t**2/5 + 130315112*t/5 + 4245507103893136/5 = 0.
-65157556
Factor 5*t**2 + 12645*t - 869660.
5*(t - 67)*(t + 2596)
Determine w, given that -w**3/3 + 493*w**2 - 35172*w + 101088 = 0.
3, 72, 1404
Solve 108*w**4 - 1983*w**3 + 2724*w**2 + 20868*w + 13248 = 0.
-2, -3/4, 46/9, 16
Find m, given that 3*m**5 - 105*m**4 - 2889*m**3 + 945*m**2 + 25758*m = 0.
-18, -3, 0, 3, 53
Let -2*v**3/11 + 7283*v**2/11 + 94973*v/11 + 14618 = 0. Calculate v.
-11, -2, 7309/2
Let 4*o**4/3 + 81028*o**3 + 243076*o**2 + 729220*o/3 + 81024 = 0. What is o?
-60768, -1
Let -25*j**5/3 - 1608905*j**4/3 - 25835967439*j**3/3 + 1602734559757*j**2/3 - 1269785971552*j/3 + 253130402164/3 = 0. What is j?
-32209, 2/5, 61
Solve f**5/3 + 247*f**4/3 + 74*f**3 - 1956*f**2 + 2952*f = 0.
-246, -6, 0, 2, 3
Solve -16902036*u**3 + 13146100*u**2 + 3755952*u - 16 = 0 for u.
-2/9, 2/469501, 1
Suppose -4*w**5 - 24352*w**4 - 36990520*w**3 + 223186688*w**2 + 557247548*w + 297094688 = 0. Calculate w.
-3047, -1, 8
Find k, given that -5*k**4/4 - 103765*k**3/4 - 1658785*k**2/4 + 3628885*k/4 - 933165/2 = 0.
-20737, -18, 1
Factor m**2/7 - 222120*m/7 + 12334323600/7.
(m - 111060)**2/7
Factor -2*i**2/5 - 19498*i/5 - 1261476.
-2*(i + 335)*(i + 9414)/5
Factor 102675*c**3 - 221445*c**2 - 905823*c + 2047761.
3*(c + 3)*(185*c - 477)**2
Factor a**2/6 + 1697208*a - 50916265/6.
(a - 5)*(a + 10183253)/6
Factor -3*m**2/4 - 567111*m/4 - 8788779/2.
-3*(m + 31)*(m + 189006)/4
Suppose -2*w**5/3 - 1628*w**4 - 940510*w**3 + 195254672*w**2/3 - 1187192440*w + 3768021600 = 0. What is w?
-1253, 4, 30
Factor -2*r**4/7 + 3412*r**3/7 - 114274*r**2/7 + 966416*r/7.
-2*r*(r - 1672)*(r - 17)**2/7
Factor 2*q**3 - 73880*q**2 + 295496*q - 295488.
2*(q - 36936)*(q - 2)**2
Factor 2*u**3/3 + 62122*u**2/3 + 135561888*u - 406267602048.
2*(u - 2203)*(u + 16632)**2/3
Factor -3*w**4 - 144*w**3 + 2025*w**2 - 7950*w + 9000.
-3*(w - 5)**2*(w - 2)*(w + 60)
Find k, given that 5*k**2 - 48311930*k + 116702129016245 = 0.
4831193
Determine o so that -o**4/2 + 34075*o**3/2 + 647827*o**2/2 - 1397875*o/2 + 357987 = 0.
-21, 1, 34094
Solve -2*h**3/3 + 107656*h**2/3 - 36856160*h/3 + 1054847104 = 0 for h.
172, 53484
Determine c, given that 2*c**4/11 - 4084*c**3/11 - 357338*c**2/11 + 361420*c/11 = 0.
-85, 0, 1, 2126
Solve -3*s**5 - 7332*s**4 + 1727313*s**3 + 32668866*s**2 + 199161180*s + 401466456 = 0 for s.
-2659, -6, 233
Find g, given that -12*g**5/11 - 274*g**4/11 + 31498*g**3/11 - 452896*g**2/11 + 782184*g/11 = 0.
-69, 0, 2, 109/6, 26
Factor 5*d**3 - 19726*d**2 + 63056*d + 63072.
(d - 3942)*(d - 4)*(5*d + 4)
Let 54*r**5/5 + 14034*r**4/5 - 87748*r**3/5 + 8536*r**2/5 + 6384*r/5 = 0. Calculate r.
-266, -2/9, 0, 1/3, 6
Determine s so that -4*s**2/5 + 29307924*s/5 + 58615864/5 = 0.
-2, 7326983
Factor 5*f**2 + 892080*f + 12488140.
5*(f + 14)*(f + 178402)
Factor 5*k**3 + 310*k**2 - 38375*k - 324280.
5*(k - 67)*(k + 8)*(k + 121)
Factor 2*y**2 - 184948*y + 5916288.
2*(y - 92442)*(y - 32)
Solve 5*m**4 + 4971635*m**3 + 1235855242840*m**2 - 1235860214480*m = 0.
-497164, 0, 1
Factor -h**4/3 - 1469789*h**3/3 + 7348995*h**2 - 110235175*h/3 + 183725500/3.
-(h - 5)**3*(h + 1469804)/3
Determine g so that g**5/4 - 38*g**4 + 1393*g**3/2 + 9056*g**2 + 49845*g/4 - 22176 = 0.
-7, -3, 1, 33, 128
Determine z, given that -182*z**4 - 73698*z**3 - 68304*z**2 + 151880*z - 9696 = 0.
-404, -2, 6/91, 1
Factor s**2/4 + 6477*s/4 + 1488771/2.
(s + 498)*(s + 5979)/4
Suppose -3*j**3 + 2746014*j**2 - 71394843*j + 464063184 = 0. Calculate j.
13, 915312
Factor 2*l**3 + 4576190*l**2 + 2617691652606*l + 2617687076418.
2*(l + 1)*(l + 1144047)**2
Solve -3*o**4 + 8307*o**3 + 1932546*o**2 + 33850548*o + 31926312 = 0.
-198, -18, -1, 2986
Factor -p**2/8 - 65700*p - 7883775/8.
-(p + 15)*(p + 525585)/8
Let -2*f**3/5 + 487208*f**2/5 + 779552*f + 7795584/5 = 0. Calculate f.
-4, 243612
Factor -i**4/7 + 568480*i**3/7 - 107723359626*i**2/7 + 6804346010397304*i/7 - 6804238287606157/7.
-(i - 189493)**3*(i - 1)/7
Solve m**3/3 + 73430*m**2/3 - 97911*m + 73434 = 0.
-73434, 1, 3
Factor h**2/3 + 4138*h + 24785000/3.
(h + 2500)*(h + 9914)/3
Solve 2*i**2/9 - 170*i/9 - 2954216/3 = 0 for i.
-2063, 2148
Factor -4*y**2 + 22258252*y.
-4*y*(y - 5564563)
Solve 8*b**5 + 3705*b**4 + 64*b**3 - 184786*b**2 - 22344*b + 158809 = 0.
-463, -7, -1, 7/8, 7
Factor 5*l**3 - 2026450*l**2 + 14184905*l.
5*l*(l - 405283)*(l - 7)
Find g such that 6*g**4 + 71637*g**3/2 - 2479347*g**2 - 40972146*g + 10397436 = 0.
-6038, -14, 1/4, 82
Factor 2*s**5 - 20208*s**4 + 383230*s**3.
2*s**3*(s - 10085)*(s - 19)
Let -441*h**5/5 + 2031603*h**4/5 + 4451681*h**3/5 + 565045*h**2 + 424024*h/5 + 18436/5 = 0. Calculate h.
-1, -2/21, 4609
Solve -s**3/9 - 2419369*s**2/9 - 4838735*s/9 - 2419367/9 = 0.
-2419367, -1
Factor r**4 + 109*r**3 + 2786*r**2 + 14504*r.
r*(r + 7)*(r + 28)*(r + 74)
Factor 8*k**2/7 - 537662*k/7 - 2150776/7.
2*(k + 4)*(4*k - 268847)/7
Factor -2*y**3/3 - 3458702*y**2 - 6917402*y - 10376102/3.
-2*(y + 1)**2*(y + 5188051)/3
Find n, given that -4*n**2/3 - 1023824*n/3 + 109594964/3 = 0.
-256063, 107
Solve 2*c**3 + 10184*c**2 - 153242*c - 163424 = 0.
-5107, -1, 16
Factor 2*r**2/5 - 77126*r/5 - 77128/5.
2*(r - 38564)*(r + 