8.
4*(z - 18)**2*(z + 4)*(z + 27)
Find n, given that -4*n**3 - 8800*n**2 + 17612*n - 8808 = 0.
-2202, 1
Factor 4*q**3 - 1700*q**2 + 5073*q - 3798.
(q - 422)*(2*q - 3)**2
Solve 2*d**3/5 + 1172*d**2/5 + 2314*d + 5760 = 0.
-576, -5
Solve v**2/5 - 19284*v - 289269/5 = 0 for v.
-3, 96423
Suppose -2*g**2 - 1487056*g - 276416943392 = 0. Calculate g.
-371764
Determine l so that -2*l**3 - 574*l**2 - 37200*l + 585000 = 0.
-150, 13
Let 5*u**5 + 810*u**4 + 41175*u**3 + 653150*u**2 - 780780*u - 1393560 = 0. What is u?
-79, -42, -1, 2
Let 1841449*p**2 + 1205016*p + 197136 = 0. Calculate p.
-444/1357
Factor -125*l**4 + 14925*l**3 + 54810*l**2 + 66204*l + 26568.
-(l - 123)*(5*l + 6)**3
What is m in -4*m**5 - 10048*m**4 - 6350208*m**3 - 50320384*m**2 - 100320256*m = 0?
-1252, -4, 0
Factor 26*w**2 - 800232*w + 123112.
2*(w - 30778)*(13*w - 2)
Let -9*o**3 - 54510*o**2 + 18171*o = 0. What is o?
-6057, 0, 1/3
Suppose -4*p**3/9 + 4844*p**2/9 - 28940*p/9 + 24100/9 = 0. What is p?
1, 5, 1205
Factor 3*y**2 - 195*y + 1512.
3*(y - 56)*(y - 9)
Suppose -5*x**3 + 1000*x**2 - 10485*x + 17010 = 0. Calculate x.
2, 9, 189
Factor -k**3/2 + 9161*k**2/2 + 13748*k - 18328.
-(k - 9164)*(k - 1)*(k + 4)/2
Factor -d**2 + 4903*d - 151032.
-(d - 4872)*(d - 31)
Suppose -4*k**4 - 158*k**3/3 - 730*k**2/9 + 24*k + 136/9 = 0. What is k?
-34/3, -2, -1/3, 1/2
Factor 5*c**3 + 23685*c**2 + 354070*c - 377760.
5*(c - 1)*(c + 16)*(c + 4722)
Factor -4*p**3 - 3788*p**2 + 34416*p.
-4*p*(p - 9)*(p + 956)
Solve -4*l**5 + 8044*l**4 - 120068*l**3 + 615428*l**2 - 1317864*l + 1005984 = 0 for l.
2, 3, 7, 1996
Determine p so that 495*p**4 + 9895*p**3 + 26135*p**2 + 16565*p - 170 = 0.
-17, -2, -1, 1/99
Factor -3*x**3/7 + 10188*x**2/7 - 1231281*x - 7440174.
-3*(x - 1701)**2*(x + 6)/7
Find o such that 5*o**2/4 + 465*o/4 - 5600 = 0.
-128, 35
Factor 5*v**3 + 6290*v**2 - 115280*v - 561440.
5*(v - 22)*(v + 4)*(v + 1276)
Factor y**3/4 + 10323*y**2/2 + 26646243*y + 53271842.
(y + 2)*(y + 10322)**2/4
Suppose -4*s**5 + 1432*s**4 - 1420*s**3 - 2856*s**2 = 0. What is s?
-1, 0, 2, 357
Suppose -8*g**3/11 + 26910*g**2/11 + 60584*g/11 + 1224 = 0. What is g?
-2, -1/4, 3366
What is z in -5*z**4 - 29120*z**3 - 42311270*z**2 + 254654400*z - 382375125 = 0?
-2915, 3
Determine i so that -21*i**3/4 + 2319*i**2/4 + 50481*i/4 - 22059/4 = 0.
-19, 3/7, 129
Let 94*x**2/5 + 36382*x/5 + 1548/5 = 0. What is x?
-387, -2/47
What is x in 4*x**5 - 504*x**4 + 2932*x**3 - 6288*x**2 + 5776*x - 1920 = 0?
1, 2, 120
Factor i**3/3 - 42*i**2 + 1067*i/3 - 546.
(i - 117)*(i - 7)*(i - 2)/3
Find v such that -4*v**2 + 4012192*v - 1006105290304 = 0.
501524
Suppose m**2 + 4127800*m + 4259683210000 = 0. What is m?
-2063900
Find w such that -6*w**5 + 610*w**4 - 14556*w**3 - 226812*w**2 + 8610082*w + 2894682 = 0.
-21, -1/3, 41
Factor -2*q**2/17 + 41138*q/17 - 123396/17.
-2*(q - 20566)*(q - 3)/17
Factor -5*x**2 + 115*x + 10620.
-5*(x - 59)*(x + 36)
Determine z, given that z**5/4 - 13*z**4/4 - 197*z**3/4 + 2629*z**2/4 + 2420*z - 33275 = 0.
-10, 11
Suppose 2*g**2/17 - 4936*g/17 + 870 = 0. What is g?
3, 2465
Let -4*k**4 + 820*k**3 + 2560*k**2 - 13120*k - 39936 = 0. What is k?
-4, -3, 4, 208
Solve 2*j**5 - 138*j**4 + 2866*j**3 - 9950*j**2 - 157500*j - 250000 = 0 for j.
-4, -2, 25
Factor -8*o**3/7 + 1222*o**2/7 - 21240*o/7.
-2*o*(o - 20)*(4*o - 531)/7
Suppose -128*m**3 + 3692*m**2 + 688*m - 3132 = 0. What is m?
-1, 27/32, 29
Factor -5*b**3/3 + 180830*b**2/3 - 1634974445*b/3.
-5*b*(b - 18083)**2/3
Suppose -4356*d**5/7 + 453552*d**4/7 - 1374796*d**3/7 + 161648*d**2/7 - 4848*d/7 = 0. What is d?
0, 2/33, 3, 101
Let -t**5/5 + 1846*t**4/5 + 7397*t**3/5 + 1110*t**2 = 0. What is t?
-3, -1, 0, 1850
Find s such that 2*s**2 + 141788*s + 2512979618 = 0.
-35447
Factor 6*h**2/5 - 19416*h/5 - 54600.
6*(h - 3250)*(h + 14)/5
Let s**4/3 + 239*s**3/3 - 967*s**2/3 + 1213*s/3 - 162 = 0. What is s?
-243, 1, 2
Suppose 2132*i**5/7 - 66090*i**4/7 - 19806*i**3 - 70486*i**2/7 - 66*i/7 = 0. What is i?
-1, -1/1066, 0, 33
What is w in w**3 - 1080*w**2 + 20229*w - 74270 = 0?
5, 14, 1061
Let 2*t**3/3 + 1828*t**2 + 21904*t/3 = 0. Calculate t.
-2738, -4, 0
Determine c, given that 118*c**3 + 4362*c**2 - 4632*c + 152 = 0.
-38, 2/59, 1
What is n in -2*n**4/7 + 4392*n**3/7 - 2366888*n**2/7 - 48663360*n/7 - 245532800/7 = 0?
-10, 1108
Factor -15*j**3 + 40563*j**2 - 27426672*j + 5483712.
-3*(j - 1352)**2*(5*j - 1)
Factor -4*i**2/5 - 25356*i/5 + 50792.
-4*(i - 10)*(i + 6349)/5
Let 3*q**2/5 - 1751592*q/5 + 255672877872/5 = 0. Calculate q.
291932
Factor 2*j**3/7 + 1116*j**2/7 - 320*j.
2*j*(j - 2)*(j + 560)/7
Let 4*l**5 - 1308*l**4 + 130128*l**3 - 3645424*l**2 + 12582336*l = 0. Calculate l.
0, 4, 39, 142
Factor -d**5 + 356*d**4 - 2808*d**3 + 8384*d**2 - 11152*d + 5568.
-(d - 348)*(d - 2)**4
Factor 2*b**4 - 59*b**3 - 1113*b**2 + 36920*b - 84500.
(b - 26)**2*(b + 25)*(2*b - 5)
Determine v, given that 5109*v**5/5 - 15363*v**4/5 - 81636*v**3/5 - 60732*v**2/5 + 432*v/5 = 0.
-2, -1, 0, 12/1703, 6
What is r in -44*r**3 + 2776*r**2 - 20096*r + 38784 = 0?
4, 606/11
Factor v**3/5 - 472*v**2/5.
v**2*(v - 472)/5
Factor 3*m**4 - 111*m**3 + 822*m**2 + 936*m.
3*m*(m - 26)*(m - 12)*(m + 1)
Suppose -6348*p**4 - 38134*p**3 + 2708*p**2/3 + 20638*p/3 - 1156 = 0. Calculate p.
-6, -1/2, 17/69
What is k in 2*k**3 - 3420*k**2 + 20458*k - 17040 = 0?
1, 5, 1704
Factor -2*k**2/3 + 1874*k/3 - 63960.
-2*(k - 820)*(k - 117)/3
Let 2*z**3 - 2051*z**2 - 3081*z = 0. Calculate z.
-3/2, 0, 1027
Solve -3*n**3 + 1437*n**2 + 54648*n + 500580 = 0.
-18, 515
What is d in 168*d**5 + 748*d**4 - 792*d**3 - 6768*d**2 - 6480*d + 324 = 0?
-3, -3/2, 1/21, 3
Factor -3*o**2 + 4471314*o - 1666054073883.
-3*(o - 745219)**2
Find f such that f**5/2 - 612*f**4 + 187883*f**3 - 373932*f**2 + 373321*f/2 = 0.
0, 1, 611
Let -27*m**4 + 210*m**3 + 156*m**2 - 840*m - 192 = 0. Calculate m.
-2, -2/9, 2, 8
Factor -h**4 - 204*h**3 - 405*h**2 - 202*h.
-h*(h + 1)**2*(h + 202)
Factor -2*c**5 + 64820*c**4 - 259260*c**3 + 388880*c**2 - 259250*c + 64812.
-2*(c - 32406)*(c - 1)**4
Suppose -x**3/6 - 571*x**2/6 - 22145*x/2 + 1495869/2 = 0. Calculate x.
-309, 47
Factor -3*l**4 + 66*l**3 + 15699*l**2 + 31110*l.
-3*l*(l - 85)*(l + 2)*(l + 61)
Find u such that -4*u**5/9 - 382184*u**4/9 - 9129420292*u**3/9 - 2028632672*u**2 - 1014295104*u = 0.
-47772, -1, 0
Find k, given that 4*k**5/9 - 5*k**4/3 - 257*k**3/3 + 85*k**2/9 + 2375*k - 1750 = 0.
-10, -7, 3/4, 5, 15
Solve 2*y**2/5 - 3578*y/5 - 10752/5 = 0 for y.
-3, 1792
Find p, given that -p**2/3 + 24*p - 240 = 0.
12, 60
Suppose -3*g**2/5 - 4071*g - 40698/5 = 0. Calculate g.
-6783, -2
Let -4*f**2/3 + 272*f/9 + 6160/9 = 0. Calculate f.
-14, 110/3
What is f in -3*f**2 + 640944*f = 0?
0, 213648
Find p, given that -4*p**3 + 18392*p**2 + 92060*p = 0.
-5, 0, 4603
Factor -v**2 + 29665*v.
-v*(v - 29665)
Factor 3*h**2 - 2439*h - 2442.
3*(h - 814)*(h + 1)
Suppose 2*y**2 - 1604*y + 229152 = 0. Calculate y.
186, 616
Factor -5*f**2/2 - 17125*f/2.
-5*f*(f + 3425)/2
Suppose l**3 + 595*l**2 - 13453*l + 74657 = 0. What is l?
-617, 11
What is m in 484*m**4/5 - 294932*m**3/5 - 484248*m**2/5 + 205328*m/5 - 19552/5 = 0?
-2, 2/11, 611
Find v, given that 180*v**3 - 34716*v**2 + 8623744*v/5 - 24333312/5 = 0.
3, 1424/15
Determine n, given that -3*n**2 - 351*n - 9720 = 0.
-72, -45
Factor s**2/3 - 2879234*s/3 + 2072497106689/3.
(s - 1439617)**2/3
Factor -15*t**3/4 - 54455*t**2/2 - 18150*t.
-5*t*(t + 7260)*(3*t + 2)/4
Factor -a**2/2 - 503*a/2 + 55110.
-(a - 165)*(a + 668)/2
Factor 3*q**3/4 + 148431*q**2 + 1187439*q/4 + 296859/2.
3*(q + 1)**2*(q + 197906)/4
Determine i, given that -2*i**3 - 126*i**2 + 3170*i - 12450 = 0.
-83, 5, 15
Factor -3*b**2 + 3234*b - 22491.
-3*(b - 1071)*(b - 7)
Factor b**4/2 + 489*b**3 + 228121*b**2/2 - 2689500*b + 15125000.
(b - 11)**2*(b + 500)**2/2
Solve -2*z**2/23 + 33158*z/23 + 66324/23 = 0.
-2, 16581
What is j in 2*j**3 - 73856*j**2 - 2069144*j - 14486752 = 0?
-14, 36956
Find m, given that 75*m**2 + 4945*m - 330 = 0.
-66, 1/15
Factor 3*c**2/4 - 1263*c/4 - 633/2.
3*(c - 422)*(c + 1)/4
Determine u so that -32*u**5 + 2956*u**4 - 40028*u**3 + 166684*u**2 - 120932*u - 150920 = 0.
-5/8, 2, 7, 77
Determine x, given that 5704923*x**3 - 11211270*x**2 - 395424*x - 3456 = 0.
-24/1379, 2
Factor 2*w**2 - 6114*w - 6116.
2*(w - 3058)*(w + 1)
What is t in -