Find d, given that -4*d**5 + 28432*d**4 + 22029132*d**3 + 4036439192*d**2 - 8161222304*d = 0.
-361, 0, 2, 7828
Factor -4*o**2 - 2041448*o + 24497952.
-4*(o - 12)*(o + 510374)
Suppose 2*p**3 - 865848*p**2 + 93715923978*p - 937072656980 = 0. What is p?
10, 216457
Find x such that -2*x**2/7 - 745484*x - 486278094974 = 0.
-1304597
Find i such that 4*i**4 - 20156*i**3 + 21770112*i**2 = 0.
0, 1568, 3471
Factor 2*u**3 + 9382*u**2 + 12376304*u + 3113775096.
2*(u + 327)*(u + 2182)**2
Suppose -4*d**3 - 6316*d**2 - 2002012*d - 9852660 = 0. Calculate d.
-1143, -431, -5
Factor 3*z**2 - 993*z + 58674.
3*(z - 254)*(z - 77)
Suppose 2*m**5/3 + 7402*m**4/3 - 570796*m**3/3 + 4159452*m**2 - 20086290*m + 27760950 = 0. What is m?
-3777, 3, 35
Factor -n**2/3 - 18234343*n.
-n*(n + 54703029)/3
Solve -3*a**4 - 213576*a**3 + 11755758*a**2 + 213576*a - 11755755 = 0 for a.
-71247, -1, 1, 55
Suppose 51186962*p**3 - 231489722*p**2 + 339078960*p - 158776200 = 0. What is p?
1, 8910/5059
Determine t, given that -888*t**3 + 134108*t**2 - 1255100*t + 28200 = 0.
5/222, 10, 141
Let 2*q**3/5 - 3399*q**2/5 + 657042*q/5 + 329371/5 = 0. What is q?
-1/2, 223, 1477
Find k, given that -k**3 - 68579*k**2 + 823056*k - 2469276 = 0.
-68591, 6
Solve 6*k**2/7 + 262924*k/7 - 87642/7 = 0.
-43821, 1/3
What is y in 2*y**3/11 - 600640*y**2/11 + 4805024*y/11 - 9609984/11 = 0?
4, 300312
Factor -4*q**3 - 658188*q**2 + 46087860*q - 806623300.
-4*(q - 35)**2*(q + 164617)
Find t, given that t**5/3 - 38*t**4 - 289*t**3/3 + 6502*t**2 + 19320*t = 0.
-12, -3, 0, 14, 115
Factor 210681*z**3/2 + 1981877085*z**2/2 + 8635627*z/2 + 9407/2.
(z + 9407)*(459*z + 1)**2/2
Suppose -1138*g**2/3 + 189986*g/3 + 3340 = 0. Calculate g.
-30/569, 167
Solve -2*x**4/11 + 1902*x**3/11 - 622404*x**2/11 + 75845160*x/11 - 171915696 = 0 for x.
33, 306
Factor 2*m**2/17 + 25314*m/17 + 1887300/17.
2*(m + 75)*(m + 12582)/17
Factor 5*n**2 - 1592000*n + 1591995.
5*(n - 318399)*(n - 1)
Find x such that 5*x**4 - 2845*x**3 + 323175*x**2 - 2582595*x - 10733580 = 0.
-3, 12, 143, 417
Suppose -h**5 + 3108*h**4 - 2351809*h**3 - 98299422*h**2 - 636793180*h + 7863508824 = 0. What is h?
-23, 6, 1574
Factor a**2/2 + 9977*a - 119796.
(a - 12)*(a + 19966)/2
Suppose -2*l**5/5 - 78*l**4 - 5794*l**3/5 + 608094*l**2/5 - 941220*l = 0. What is l?
-166, -63, 0, 9, 25
Factor x**2 + 39298802*x + 386098959658801.
(x + 19649401)**2
Suppose -2*h**2/3 - 4751188*h - 8465170279254 = 0. Calculate h.
-3563391
Factor 20*x**2 + 2956985*x + 3696200.
5*(x + 147848)*(4*x + 5)
Find k, given that -2*k**4 - 31528814*k**3 - 124258248266416*k**2 + 124258279795232*k = 0.
-7882204, 0, 1
Solve -o**5/3 - 2062*o**4/3 - 391811*o**3 - 36120852*o**2 + 1606710528*o + 196145197056 = 0.
-969, -96, 68
Factor n**2 + 1174*n + 344169.
(n + 567)*(n + 607)
Determine x so that -2*x**5 - 348*x**4 - 6204*x**3 + 34528*x**2 + 86286*x + 45900 = 0.
-153, -25, -1, 6
Let m**2/7 + 291*m/7 + 11070/7 = 0. What is m?
-246, -45
Let 2*v**3 + 914760*v**2 + 104594573064*v - 836815130176 = 0. What is v?
-228694, 8
Solve -2*k**5/3 - 395*k**4/3 - 9748*k**3/3 + 27677*k**2/3 + 6968*k - 5376 = 0 for k.
-168, -32, -1, 1/2, 3
Factor 3*k**2/4 - 242919*k/4 + 485790.
3*(k - 80965)*(k - 8)/4
What is a in 4*a**3/7 - 1397456*a**2 + 5980744148880*a/7 - 47845327132800/7 = 0?
8, 1222770
Suppose 3*w**5/2 + 1413*w**4/2 + 119949*w**3/2 - 12321753*w**2/2 - 94117212*w - 338037378 = 0. What is w?
-262, -7, 67
Let -3*s**3/2 + 4615818*s**2 - 18463248*s = 0. What is s?
0, 4, 3077208
Factor 2*m**4 + 30622022*m**3 - 183732180*m**2 + 367464392*m - 244976272.
2*(m - 2)**3*(m + 15311017)
Find z such that 4*z**5 - 508*z**4 + 14292*z**3 - 133364*z**2 + 313304*z + 461472 = 0.
-1, 6, 11, 19, 92
Factor -t**3/5 - 1157883*t**2/5 + 25473789*t/5 - 28021301.
-(t - 11)**2*(t + 1157905)/5
Suppose j**2/2 - 18849289*j + 37698577/2 = 0. Calculate j.
1, 37698577
Factor -2203*w**2/3 - 17449961*w/3 + 15842/3.
-(w + 7921)*(2203*w - 2)/3
Factor -z**3 + 112848*z**2 - 3182538996*z - 63695927120.
-(z - 56434)**2*(z + 20)
Factor 3*h**3/7 - 40052064*h**2/7 - 40052067*h/7.
3*h*(h - 13350689)*(h + 1)/7
Determine c, given that -2*c**5 + 16724*c**4 + 469264*c**3 + 4830080*c**2 + 21474304*c + 34365440 = 0.
-8, -4, 8390
Solve 2*n**5/7 - 9840*n**4/7 - 18*n**3/7 + 88560*n**2/7 = 0 for n.
-3, 0, 3, 4920
Find r, given that 5*r**3 + 333880*r**2 + 8677625*r + 8343750 = 0.
-66750, -25, -1
Solve -3*v**4/2 - 5145*v**3 + 134367*v**2/2 + 154935*v = 0 for v.
-3443, -2, 0, 15
Determine t, given that -24*t**3 - 1069558*t**2 - 2049894*t + 178252 = 0.
-44563, -2, 1/12
Find d, given that 2*d**5 + 86*d**4 - 1650*d**3 - 88550*d**2 - 392000*d = 0.
-35, -5, 0, 32
Factor -1805*r**4 - 13478600*r**3 - 25158161240*r**2 + 15893397600*r - 2509696080.
-5*(r + 3734)**2*(19*r - 6)**2
Factor 3*r**3/7 + 78975*r**2/7 + 519635736*r/7 - 1559618064/7.
3*(r - 3)*(r + 13164)**2/7
Let -2*o**3/5 - 2*o**2/5 + 1026*o - 8910 = 0. What is o?
-55, 9, 45
Suppose 4*u**5/5 + 1976*u**4/5 + 323512*u**3/5 + 3489808*u**2 - 3685900*u - 7111400 = 0. What is u?
-185, -155, -1, 2
Factor 2*r**2/11 - 3694494*r/11 + 3694492/11.
2*(r - 1847246)*(r - 1)/11
Find y, given that -2*y**2 - 4973256*y = 0.
-2486628, 0
Let d**2/2 + 490111*d/2 + 35522535 = 0. What is d?
-489966, -145
Factor 5*r**3 - 7354695*r**2 + 2704661504160*r - 62203324022860.
5*(r - 735458)**2*(r - 23)
Find o such that 41*o**5/2 + 32266*o**4 + 1206147*o**3/2 - 1626814*o**2 - 5277502*o + 261240 = 0.
-1555, -21, -2, 2/41, 4
Factor 2*u**3/13 + 11934*u**2 + 10385536*u/13.
2*u*(u + 67)*(u + 77504)/13
Find v such that 134*v**5/7 - 5232*v**4/7 + 58122*v**3/7 - 199840*v**2/7 + 8832*v/7 = 0.
0, 3/67, 8, 23
Suppose 4*s**5/7 - 82792*s**4/7 - 2851168*s**3 - 172261544*s**2 - 169422204*s = 0. What is s?
-119, -1, 0, 20937
Factor -o**3/4 + 221*o**2/2 + 339733*o/4 + 338845/2.
-(o - 845)*(o + 2)*(o + 401)/4
Solve -10*j**3/9 + 381214*j**2/9 + 148095616*j/9 - 59299240/9 = 0 for j.
-385, 2/5, 38506
Find c, given that -2*c**4/9 + 2104*c**3/9 - 22628*c**2/9 - 94888*c/3 - 65930 = 0.
-5, -3, 19, 1041
Determine o so that 573*o**3/8 - 1861307*o**2/8 + 164837*o/2 - 1624 = 0.
4/191, 1/3, 3248
Solve 2*b**5/19 + 618*b**4/19 - 20342*b**3/19 + 1062*b**2/19 + 589860*b/19 = 0 for b.
-339, -5, 0, 6, 29
Find w, given that -2*w**4 - 3164*w**3 - 1596216*w**2 - 250662544*w - 494965504 = 0.
-638, -304, -2
Factor 35*l**3 + 260160*l**2 + 37165*l.
5*l*(l + 7433)*(7*l + 1)
Determine v, given that 4*v**2 + 33292804*v + 33292800 = 0.
-8323200, -1
Suppose -2*f**4/19 - 364*f**3 - 6155794*f**2/19 - 305545448*f/19 - 3341040768/19 = 0. Calculate f.
-1703, -36, -16
What is r in -3*r**2 - 1200*r + 331632 = 0?
-588, 188
Factor 2*k**3/15 - 232828*k**2/15 - 21899086*k/15 - 171577448/5.
2*(k - 116508)*(k + 47)**2/15
Factor 139*g**2/2 + 380044*g + 98424.
(g + 5468)*(139*g + 36)/2
Find f, given that 105*f**5 + 21115*f**4 - 153810*f**3 - 628460*f**2 - 495240*f - 41600 = 0.
-208, -2, -1, -2/21, 10
Factor 8*h**3/13 + 45264*h**2/13 + 62995338*h/13 - 2927178810/13.
2*(h - 45)*(2*h + 5703)**2/13
What is t in 2*t**2 - 28342926*t = 0?
0, 14171463
Suppose 5*u**3/4 - 8650*u**2 + 3140415*u/4 + 793755 = 0. Calculate u.
-1, 93, 6828
Factor z**2/8 + 501987*z/2 - 1003976.
(z - 4)*(z + 2007952)/8
Suppose 23*u**2 - 204995*u - 35652 = 0. Calculate u.
-4/23, 8913
Factor 2*p**2/7 - 116284076*p/7 + 1690248291396722/7.
2*(p - 29071019)**2/7
Find i, given that -4*i**2/7 - 1546340*i/7 + 27843192 = 0.
-386711, 126
Solve 489*j**5/7 + 312*j**4/7 - 7116*j**3/7 + 1296*j**2 = 0 for j.
-756/163, 0, 2
Let -4*r**3 + 3804*r**2 + 869476*r - 2642556 = 0. What is r?
-193, 3, 1141
Factor -28*u**2 + 44820*u + 44848.
-4*(u + 1)*(7*u - 11212)
Determine m so that -m**3/4 - 116393*m**2/4 - 116391*m/2 = 0.
-116391, -2, 0
Factor m**2 + 1855211*m + 11131230.
(m + 6)*(m + 1855205)
Find f such that -f**2/3 + 2332*f - 13988/3 = 0.
2, 6994
Let 12*a**2/7 - 265101*a/7 + 6289380/7 = 0. Calculate a.
95/4, 22068
Find h such that h**3 + 5272*h**2 + 6787636*h - 426453360 = 0.
-2666, 60
Let 2*x**3 - 7398268*x**2 + 7398266*x = 0. Calculate x.
0, 1, 3699133
Factor 18949*y**2 - 18037*y - 912.
(y - 1)*(18949*y + 912)
What is n in -30*n**4 + 266138*n**3 - 337008*n**2 - 461256*n + 141920 = 0?
-1, 4/15, 2, 8870
Solve -94*q**2/3 + 574156*q/9 - 8144/9 = 0 for q.
2/141, 2036
Factor y**2 - 4