*z**2/3 - 28238*z/9 + 3160.
2*(z - 180)*(z - 1)*(z + 79)/9
Find c, given that 4*c**4/9 - 176*c**3/9 + 52*c**2/3 + 704*c/9 - 688/9 = 0.
-2, 1, 2, 43
Solve -u**2 - 79698*u/5 + 6376 = 0 for u.
-15940, 2/5
Factor 45*w**3 - 29665*w**2 + 36200*w - 6580.
5*(w - 658)*(w - 1)*(9*w - 2)
Find y, given that -y**5/2 - 195*y**4/8 - 2587*y**3/8 - 7497*y**2/8 - 3673*y/8 + 357/2 = 0.
-28, -17, -3, -1, 1/4
Find a, given that -2*a**3/7 + 88*a**2/7 - 246*a/7 = 0.
0, 3, 41
Suppose -s**3/4 - 661*s**2/4 + 10817*s/4 - 10155/4 = 0. What is s?
-677, 1, 15
Factor -y**3/8 - 1765*y**2/8 + 10617*y/8 - 15939/8.
-(y - 3)**2*(y + 1771)/8
Factor -k**4 - 528*k**3 - 44625*k**2 + 45154*k.
-k*(k - 1)*(k + 107)*(k + 422)
Find n such that -n**2 + 440*n - 38796 = 0.
122, 318
Solve 4*v**3 - 8728*v**2 - 389840*v - 4309536 = 0 for v.
-22, 2226
Find r such that 3*r**4 + 300*r**3 + 7014*r**2 + 11988*r - 19305 = 0.
-65, -33, -3, 1
What is d in -11604*d**3 + 510568*d**2 - 498620*d - 344 = 0?
-2/2901, 1, 43
Factor 2*n**3 - 120*n**2 + 934*n - 816.
2*(n - 51)*(n - 8)*(n - 1)
Let 49*l**5/3 + 511*l**4 - 20194*l**3/3 - 27962*l**2/3 - 2245*l - 451/3 = 0. Calculate l.
-41, -1, -1/7, 11
Solve -4*u**3 - 952*u**2 - 28916*u - 100688 = 0.
-203, -31, -4
Factor 5*o**2 + 11665*o - 11670.
5*(o - 1)*(o + 2334)
Determine w so that 75*w**4/2 + 490095*w**3 + 6073887*w**2/2 - 2664810*w + 548646 = 0.
-13063, -7, 2/5
Factor -2*l**2 + 7884*l - 15760.
-2*(l - 3940)*(l - 2)
Let z**2 - 107736*z + 2901761424 = 0. What is z?
53868
Determine v, given that 3*v**5 + 225*v**4 + 414*v**3 - 1752*v**2 = 0.
-73, -4, 0, 2
Factor -2*f**2 + 16792*f - 50358.
-2*(f - 8393)*(f - 3)
Determine n, given that 2*n**3/13 + 5604*n**2/13 + 3936786*n/13 + 15657608/13 = 0.
-1399, -4
Solve -a**3 - 10897*a**2 + 21798*a = 0.
-10899, 0, 2
Determine n so that 3*n**5 + 75*n**4 - 459*n**3 - 135*n**2 + 3888*n - 4860 = 0.
-30, -3, 2, 3
Find p such that 4*p**4 + 132*p**3 + 1428*p**2 + 6380*p + 10200 = 0.
-17, -6, -5
Solve 2*h**5/3 - 125*h**4/3 + 1079*h**3/3 + 50665*h**2/3 - 757873*h/3 - 391460/3 = 0 for h.
-20, -1/2, 23, 37
Factor 369024*c**3 - 1105584*c**2 - 8925*c/2 - 9/2.
3*(c - 3)*(496*c + 1)**2/2
Factor -4*n**4 + 33*n**3 + 440*n**2 + 912*n - 256.
-(n - 16)*(n + 4)**2*(4*n - 1)
Suppose 4*j**3/5 - 15168*j**2 - 75844*j/5 = 0. Calculate j.
-1, 0, 18961
What is k in -6712*k**3 - 40278*k**2 - 60444*k - 54 = 0?
-3, -3/3356
Find u such that 8*u**2/7 - 122882*u/7 + 153590/7 = 0.
5/4, 15359
Let v**4/2 - 1671*v**3 - 3343*v**2/2 = 0. What is v?
-1, 0, 3343
Factor -86651*w**2 + 86646*w + 5.
-(w - 1)*(86651*w + 5)
Suppose -4*v**4 - 504*v**3 - 11076*v**2 - 38384*v - 36432 = 0. What is v?
-99, -23, -2
Factor v**4 - 12353*v**3 + 50836680*v**2 - 69578065600*v - 489541696000.
(v - 4120)**3*(v + 7)
Solve -2*q**5/5 + 92578*q**4/5 - 1070919086*q**3/5 - 9643549346*q**2/5 - 25720576112*q/5 - 17148038432/5 = 0.
-4, -1, 23149
Factor 4*i**2/5 - 14731312*i/5 + 13563222077584/5.
4*(i - 1841414)**2/5
Factor -480*a**2/7 - 1161*a/7 - 681/7.
-3*(a + 1)*(160*a + 227)/7
Determine h so that 2*h**5/3 + 118*h**4/3 - 1510*h**3/3 + 718*h**2 + 1260*h = 0.
-70, -1, 0, 3, 9
Suppose -39*v**4/4 - 135*v**3 - 369*v**2 + 60*v = 0. Calculate v.
-10, -4, 0, 2/13
What is s in -74*s**4/11 + 372*s**3/11 + 840*s**2 + 2500*s - 750/11 = 0?
-5, 1/37, 15
Suppose -5*m**2 + 21415*m + 128670 = 0. What is m?
-6, 4289
Factor -u**3/10 + 2517*u**2 + 25171*u/10.
-u*(u - 25171)*(u + 1)/10
Factor b**2/3 - 298*b/3 - 8008.
(b - 364)*(b + 66)/3
Let 2*u**4/5 - 6*u**3 + 66*u**2/5 + 382*u/5 - 84 = 0. What is u?
-3, 1, 7, 10
Factor -2*x**5 - 72*x**4 + 150*x**3 - 76*x**2.
-2*x**2*(x - 1)**2*(x + 38)
Find n such that 4*n**3/3 + 7711984*n**2/3 + 15423956*n/3 + 7711976/3 = 0.
-1927994, -1
Suppose -110*h**5/7 - 7086*h**4/7 - 122018*h**3/7 - 244242*h**2/7 + 25048*h - 23064/7 = 0. What is h?
-31, -3, 2/11, 2/5
Let 10*v**5/9 + 235516*v**4/9 + 1388059462*v**3/9 + 16065626332*v**2/9 - 24657632120*v/9 + 7203710800/9 = 0. What is v?
-11770, -13, 2/5, 1
Suppose f**4/4 - 9*f**3/2 - 537*f**2/4 + 625*f/2 + 1122 = 0. Calculate f.
-17, -2, 4, 33
Factor -5*k**4 - 255*k**3 + 800*k**2 - 540*k.
-5*k*(k - 2)*(k - 1)*(k + 54)
Solve i**5/3 - 1321*i**4/3 + 1756*i**3 = 0 for i.
0, 4, 1317
Let -2*k**3 + 296*k**2 - 10538*k - 10836 = 0. Calculate k.
-1, 63, 86
Factor -v**4/7 + 208*v**3/7 - 9952*v**2/7 - 89856*v/7 - 186624/7.
-(v - 108)**2*(v + 4)**2/7
Factor -p**4/2 - 795*p**3/2 + 3217*p**2/2 + 16779*p/2.
-p*(p - 7)*(p + 3)*(p + 799)/2
Find j, given that 2*j**2/9 - 24718*j/9 + 24712/3 = 0.
3, 12356
Factor -m**3/3 - 592*m**2/3 - 30167*m - 282270.
-(m + 10)*(m + 291)**2/3
Let -2*o**2 + 376*o + 6090 = 0. What is o?
-15, 203
Solve 4*d**5 - 532*d**4 + 2036*d**3 + 69700*d**2 - 329256*d - 912384 = 0 for d.
-11, -2, 9, 128
Let -12*i**5 + 986*i**4 + 7532*i**3 - 20834*i**2 + 640*i + 6408 = 0. What is i?
-9, -1/2, 2/3, 2, 89
Factor -4*o**2 - 2647504*o - 438079839376.
-4*(o + 330938)**2
Suppose 2*k**4/9 - 4*k**3/3 - 286*k**2/9 - 200*k/3 + 896/9 = 0. What is k?
-7, -4, 1, 16
Suppose -45*o**5 - 453*o**4 - 1014*o**3 - 336*o**2 = 0. What is o?
-7, -8/3, -2/5, 0
Suppose -2*n**4/11 - 1846*n**3/11 + 20550*n**2/11 + 1846*n/11 - 1868 = 0. What is n?
-934, -1, 1, 11
Factor 4*q**2 + 24552*q - 221292.
4*(q - 9)*(q + 6147)
Factor -l**2/6 - 21171*l/2 + 31757/3.
-(l - 1)*(l + 63514)/6
Determine o so that 121*o**5/7 + 7667*o**4/7 - 256769*o**3/7 + 1725833*o**2/7 + 653224*o/7 + 60164/7 = 0.
-89, -2/11, 13
Factor 9*a**4 - 867*a**3 + 26950*a**2 - 320788*a + 1130136.
(a - 49)*(a - 6)*(3*a - 62)**2
Determine v, given that 24*v**4/5 + 22*v**3 - 1326*v**2 - 3040*v - 3384/5 = 0.
-18, -2, -1/4, 47/3
Factor -u**4/2 - 4995*u**3/2 - 8306661*u**2/2 - 4582387961*u/2 + 13897223889.
-(u - 6)*(u + 1667)**3/2
Find k, given that 14*k**3/3 - 5848*k**2/3 + 15758*k/3 + 1660 = 0.
-2/7, 3, 415
Factor -5*r**3 + 744*r**2 + 3209*r + 612.
-(r - 153)*(r + 4)*(5*r + 1)
Suppose -3*r**3 - 10666*r**2 + 7112*r = 0. Calculate r.
-3556, 0, 2/3
Factor 4*p**3/9 + 26696*p**2/3 - 160192*p/9.
4*p*(p - 2)*(p + 20024)/9
Find k, given that -21*k**3 + 258*k**2 + 600*k = 0.
-2, 0, 100/7
Suppose -2*g**3/7 - 2344*g**2/7 + 28394*g/7 - 26048/7 = 0. Calculate g.
-1184, 1, 11
Factor 3*c**4 + 7749*c**3 + 30960*c**2 + 30948*c.
3*c*(c + 2)**2*(c + 2579)
What is i in -2*i**3 - 912*i**2 + 8370*i = 0?
-465, 0, 9
Find l such that -l**2/4 - 793*l/4 - 3108 = 0.
-777, -16
Factor -3*a**2 + 115236*a - 1106611308.
-3*(a - 19206)**2
Factor 3*j**5 + 241086*j**4 + 4843297191*j**3 - 9687317652*j**2 + 4843779372*j.
3*j*(j - 1)**2*(j + 40182)**2
Let 2*n**4/9 + 110*n**3/9 + 178*n**2/3 - 294*n = 0. Calculate n.
-49, -9, 0, 3
What is n in -5*n**5 - 5*n**4 + 475*n**3 + 1625*n**2 - 6250*n - 25000 = 0?
-5, 4, 10
Let 5*m**3 + 6940*m**2 - 27825*m + 20880 = 0. Calculate m.
-1392, 1, 3
Factor n**3/5 + 4*n**2 + 44*n/5 - 112.
(n - 4)*(n + 10)*(n + 14)/5
Factor -5*j**3 + 850*j**2 - 33315*j + 63270.
-5*(j - 111)*(j - 57)*(j - 2)
Factor 3*w**4 + 19716*w**3 + 19695*w**2 - 118278*w.
3*w*(w - 2)*(w + 3)*(w + 6571)
Factor -3*i**3 + 14613*i**2 + 117048*i + 234192.
-3*(i - 4879)*(i + 4)**2
Suppose -5*k**4 + 1740*k**3 - 94820*k**2 - 9841440*k - 159951680 = 0. What is k?
-28, 202
Find o such that o**5 + 50612*o**4/5 + 128088849*o**3/5 + 51227442*o**2/5 = 0.
-5061, -2/5, 0
Solve -j**5 + 46*j**4/3 + 461*j**3 - 1906*j**2/3 + 160*j = 0 for j.
-16, 0, 1/3, 1, 30
Suppose 15*i**3 + 1452*i**2 + 35712*i + 27648 = 0. What is i?
-48, -4/5
Determine k, given that 5*k**2 - 1271110*k + 80786031605 = 0.
127111
Factor -2*d**2/3 + 496436*d - 1489306/3.
-2*(d - 744653)*(d - 1)/3
Let -2*j**2 + 6852*j + 41184 = 0. Calculate j.
-6, 3432
What is m in 27*m**3 - 639*m**2 + 11883*m/4 - 7803/2 = 0?
17/6, 18
Factor -5*o**2 + 1121455*o + 2242930.
-5*(o - 224293)*(o + 2)
Find c such that 4*c**3/17 + 112046*c**2/17 - 728456*c/17 + 336216/17 = 0.
-28018, 1/2, 6
Factor 6*g**4 + 615*g**3/2 - 234*g**2.
3*g**2*(g + 52)*(4*g - 3)/2
Determine t so that -2*t**5/7 - 446*t**4/7 - 886*t**3/7 - 442*t**2/7 = 0.
-221, -1, 0
Let -3*n**4/2 + 17004*n**3 - 47383521*n**2 - 4567359420*n - 216445938075/2 = 0. Calculate n.
-47, 5715
Factor -l**2/2 + 47972*l - 1150656392.
-(l - 47972)**2/2
Factor -6*t**3 + 174644*t**2 - 698552*t/3 + 77616.
-2*(t - 29106)*(3*t - 2)**2/3
Factor 54609*w**3/5 - 109206*w**2/5 + 10917*w + 1