3*a**4/2 - 3071*a**3/4 = 0 for a.
-83, 0, 37
Factor 4*k**5 - 105768*k**4 + 211524*k**3 - 105760*k**2.
4*k**2*(k - 26440)*(k - 1)**2
Suppose -s**2 - 82278*s - 1692417321 = 0. What is s?
-41139
Solve 4*w**2 - 178440*w + 1990052100 = 0 for w.
22305
Let -2*g**4/5 + 812*g**3/5 - 19142*g**2/5 + 35052*g/5 = 0. Calculate g.
0, 2, 23, 381
Find m such that 3*m**4 + 8625*m**3/7 + 183888*m**2/7 - 460644*m/7 + 116400/7 = 0.
-388, -25, 2/7, 2
Factor -3*i**2/5 + 696*i - 176013/5.
-3*(i - 1107)*(i - 53)/5
Let 5*p**3/3 + 91820*p**2 + 275455*p/3 = 0. Calculate p.
-55091, -1, 0
Factor u**4/3 - 32*u**3/3 - 83*u**2 + 4208*u/3 + 29120/3.
(u - 35)*(u - 13)*(u + 8)**2/3
Determine d, given that -2*d**2 - 3204*d + 3206 = 0.
-1603, 1
Factor h**3/3 + 182*h**2/3 - 16121*h/3 - 5434.
(h - 66)*(h + 1)*(h + 247)/3
Let 52*g**5 + 500*g**4 - 708*g**3 - 1604*g**2 + 656*g + 1104 = 0. What is g?
-138/13, -1, 1, 2
Factor -3*y**3/8 - 501*y**2/8 + 909*y/2 - 783/2.
-3*(y - 6)*(y - 1)*(y + 174)/8
Factor g**3/5 - 4181*g**2/5 + 874456*g - 873620.
(g - 2090)**2*(g - 1)/5
Determine y so that -5*y**4 + 2460*y**3 + 674975*y**2 + 37227750*y - 77175000 = 0.
-105, 2, 700
Suppose 2*f**3/13 + 120*f**2/13 + 1798*f/13 + 7920/13 = 0. Calculate f.
-40, -11, -9
Factor 2*h**3/7 + 114584*h**2/7 + 1642331872*h/7 + 32800819840/7.
2*(h + 20)*(h + 28636)**2/7
Factor 3*d**2/2 + 4633*d - 3089/2.
(d + 3089)*(3*d - 1)/2
Determine b so that -1296*b**5 - 59868*b**4 + 439172*b**3 - 479640*b**2 - 280848*b - 33760 = 0.
-211/4, -2/9, 2, 5
Factor 2*v**2/3 - 2552*v/3 + 850.
2*(v - 1275)*(v - 1)/3
Factor 42*s**2 + 99249*s + 7089.
3*(s + 2363)*(14*s + 1)
Factor -2*h**3/17 + 24*h**2/17 + 1638*h/17 + 12844/17.
-2*(h - 38)*(h + 13)**2/17
Determine p so that 5*p**5 - 570*p**4 + 21550*p**3 - 281780*p**2 + 501165*p - 240370 = 0.
1, 26, 43
What is c in 4*c**4 - 112*c**3 + 676*c**2 - 648*c - 1440 = 0?
-1, 3, 6, 20
Factor -15*o**4 - 5*o**3 + 60*o**2 + 20*o.
-5*o*(o - 2)*(o + 2)*(3*o + 1)
Factor 3*y**2 - 300792*y - 601596.
3*(y - 100266)*(y + 2)
Find p such that 3*p**4 + 822*p**3 + 56256*p**2 + 110058*p + 54621 = 0.
-153, -119, -1
Suppose j**2/3 + 452780*j/3 + 51252432100/3 = 0. What is j?
-226390
Solve 150*c**5 - 38170*c**4 + 1088064*c**3 - 1540368*c**2 + 719776*c - 110112 = 0.
2/5, 2/3, 31, 222
Determine b so that -3*b**2 + 165345*b + 165348 = 0.
-1, 55116
Factor 8*f**5 - 232*f**4 - 750*f**3 - 576*f**2.
2*f**2*(f - 32)*(2*f + 3)**2
Determine a so that 2*a**4/11 + 5292*a**3/11 - 6*a**2/11 - 15872*a/11 + 10584/11 = 0.
-2646, -2, 1
Solve -3*m**2/7 - 152808*m/7 - 1945857072/7 = 0.
-25468
Let -a**2 - 121806*a - 3709175409 = 0. What is a?
-60903
Let -a**2 - 400212*a - 800420 = 0. Calculate a.
-400210, -2
Factor -3*g**2/5 - 234702*g/5 - 4590419067/5.
-3*(g + 39117)**2/5
Find s, given that -2*s**3 - 6478*s**2 + 117188*s - 208448 = 0.
-3257, 2, 16
Suppose -5*b**3 + 711*b**2 - 4915*b + 7425 = 0. Calculate b.
11/5, 5, 135
Let -n**4 + 20943*n**3 - 104697*n**2 + 146569*n - 62814 = 0. What is n?
1, 3, 20938
Factor 14*p**2/3 - 2568*p/5 + 88/3.
2*(p - 110)*(35*p - 2)/15
Factor 2*p**3 + 104*p**2 - 1056*p - 5760.
2*(p - 12)*(p + 4)*(p + 60)
Suppose -4*v**3 + 124*v**2 + 16660*v - 643468 = 0. Calculate v.
-67, 49
Solve -3*h**3/5 - 291*h**2 + 19422*h/5 = 0.
-498, 0, 13
Suppose w**5/4 - 41*w**4/4 + 247*w**3/4 + 765*w**2/4 - 1728*w + 1485 = 0. Calculate w.
-5, 1, 6, 33
Factor -3*i**3/5 - 213*i**2/5 - 3012*i/5 + 1380.
-3*(i - 2)*(i + 23)*(i + 50)/5
Factor 4*m**3 + 1488*m**2 + 18612*m - 20104.
4*(m - 1)*(m + 14)*(m + 359)
Find x such that -2*x**4/7 + 18*x**3/7 + 324*x**2/7 + 216*x/7 - 3888/7 = 0.
-6, 3, 18
Factor -4*l**2/5 - 324*l - 20384/5.
-4*(l + 13)*(l + 392)/5
Determine r so that -380*r**2 + 55*r + 10 = 0.
-2/19, 1/4
Suppose -5*n**4 - 335*n**3 - 7960*n**2 - 79360*n - 276480 = 0. What is n?
-27, -16, -8
Factor 4*w**3 + 2196*w**2 + 277020*w - 6822900.
4*(w - 21)*(w + 285)**2
Determine z so that -z**2 - 4938*z - 49280 = 0.
-4928, -10
Find j such that 196*j**5/5 + 1507156*j**4/5 + 774780*j**3 - 535076*j**2 - 2336896*j/5 - 368976/5 = 0.
-7687, -3, -2/7, 1
Let -v**2/5 + 1450906*v/5 - 526282055209/5 = 0. What is v?
725453
Factor 57*a**3/2 + 6497*a**2 + 370158*a - 12996.
(a + 114)**2*(57*a - 2)/2
Determine l so that -l**4/5 - 2241*l**3/5 - 17844*l**2/5 + 8932*l = 0.
-2233, -10, 0, 2
Let -4*w**5 - 1272*w**4 - 2476*w**3 + 16392*w**2 - 12640*w = 0. What is w?
-316, -5, 0, 1, 2
What is r in 2*r**4 - 6216*r**3 + 4817384*r**2 + 19344192*r + 19369088 = 0?
-2, 1556
Solve -3*u**4/4 - 1587*u**3/4 - 141723*u**2/2 - 4427865*u - 27657126 = 0 for u.
-174, -7
Solve -3*p**3/7 + 6*p**2/7 + 135*p + 2700/7 = 0 for p.
-15, -3, 20
Find n, given that 2*n**4 - 44*n**3 + 238*n**2 - 196*n = 0.
0, 1, 7, 14
Factor 5*z**2 + 8370*z + 33400.
5*(z + 4)*(z + 1670)
Let l**5 - 4*l**4 - 71*l**3 - 66*l**2 = 0. Calculate l.
-6, -1, 0, 11
Suppose v**4/4 + 81*v**3/4 - 599*v**2 - 81*v + 2392 = 0. Calculate v.
-104, -2, 2, 23
Factor -2*w**2 + 1656*w - 27574.
-2*(w - 811)*(w - 17)
Factor o**4/2 - 510*o**3 + 130527*o**2 - 227014*o - 16322103/2.
(o - 509)**2*(o - 9)*(o + 7)/2
Factor l**2 - 999*l - 69160.
(l - 1064)*(l + 65)
Solve -p**2/4 - 2841*p/4 + 7843 = 0.
-2852, 11
Suppose 6*p**4 + 28*p**3 - 62*p**2 - 84*p = 0. Calculate p.
-6, -1, 0, 7/3
Let -n**5/5 - 17*n**4/5 + 238*n**3/5 + 8*n**2/5 - 2496*n/5 = 0. Calculate n.
-26, -3, 0, 4, 8
Solve b**3 - 59682*b**2 + 59679*b + 119362 = 0.
-1, 2, 59681
Factor -2*v**3/23 + 76*v**2/23 - 930*v/23 + 3600/23.
-2*(v - 15)**2*(v - 8)/23
Factor -2*p**5 - 11540*p**4 - 16669514*p**3 - 66539640*p**2 - 66493512*p.
-2*p*(p + 2)**2*(p + 2883)**2
Factor q**4/7 + 30*q**3/7 + 209*q**2/7 + 180*q/7.
q*(q + 1)*(q + 9)*(q + 20)/7
Factor -3*c**2 - 2727*c - 2724.
-3*(c + 1)*(c + 908)
Find m such that 3*m**3 + 17721*m**2 + 25492293*m - 2012868225 = 0.
-2991, 75
What is k in 2*k**2/5 - 1139526*k/5 = 0?
0, 569763
Suppose 64*u**5 + 159952*u**4 + 100039921*u**3 + 124842547*u**2 + 26522515*u + 1560001 = 0. What is u?
-1249, -1, -1/8
Suppose f**5/5 + 61*f**4/5 + 721*f**3/5 - 1701*f**2/5 - 4698*f - 40392/5 = 0. Calculate f.
-44, -17, -3, 6
Factor -3*i**4 - 306*i**3 - 8343*i**2 - 25284*i + 86436.
-3*(i - 2)*(i + 6)*(i + 49)**2
What is g in -4*g**5 - 48964*g**4 - 150793912*g**3 - 5826139192*g**2 - 59424252484*g - 53748858244 = 0?
-6101, -19, -1
What is h in -h**4/2 + 1668*h**3 - 1365867*h**2 - 42108660*h - 637310025/2 = 0?
-15, 1683
Factor 620*j**2/7 + 8*j/7.
4*j*(155*j + 2)/7
Factor 3*q**2 + 1422291*q - 1422294.
3*(q - 1)*(q + 474098)
Factor 3*j**2 + 64032*j - 64035.
3*(j - 1)*(j + 21345)
Find c such that -3*c**3 - 23184*c**2 - 44465148*c + 1263266256 = 0.
-3878, 28
Find i such that -2*i**5/3 + 92*i**4/3 - 58*i**3 - 92*i**2/3 + 176*i/3 = 0.
-1, 0, 1, 2, 44
Find o, given that 33*o**2 + 2931*o - 2964 = 0.
-988/11, 1
Find o, given that -o**4/4 - 7645*o**3/4 - 22923*o**2/2 - 22919*o - 15278 = 0.
-7639, -2
Factor 5*g**4 + 1535*g**3 - 1545*g**2 - 1535*g + 1540.
5*(g - 1)**2*(g + 1)*(g + 308)
Factor -2*v**2/11 - 83616*v/11 + 167240/11.
-2*(v - 2)*(v + 41810)/11
Factor x**2/2 + 60475*x + 3657225625/2.
(x + 60475)**2/2
Solve 3*t**2 - 267990*t + 5984886675 = 0 for t.
44665
Let -2*z**2/11 + 364*z/11 + 14210 = 0. What is z?
-203, 385
Find v such that v**2/4 - 8579*v/2 + 73599241/4 = 0.
8579
Determine h, given that -15*h**4/2 - 4257*h**3 - 1247907*h**2/2 - 5587812*h + 2335230 = 0.
-279, -10, 2/5
Determine r so that -4*r**4 - 3740*r**3 - 7468*r**2 - 3732*r = 0.
-933, -1, 0
Factor 5*a**3 - 26490*a**2 - 26505*a + 52990.
5*(a - 5299)*(a - 1)*(a + 2)
Solve -3*y**3 + 657*y**2 - 16044*y = 0 for y.
0, 28, 191
Factor 83*p**2/3 + 15769*p/3 - 190/3.
(p + 190)*(83*p - 1)/3
Factor 4*y**4 - 1760*y**3 - 16104*y**2 - 26912*y - 12572.
4*(y - 449)*(y + 1)**2*(y + 7)
Let 2*k**4/7 + 502*k**3/7 + 25176*k**2/7 - 15256*k + 108832/7 = 0. What is k?
-179, -76, 2
Suppose -2*i**3 + 6084*i**2 + 12174*i + 6088 = 0. Calculate i.
-1, 3044
Suppose -4*u**5 - 9088*u**4 - 5180132*u**3 - 20620664*u**2 - 25737264*u - 10287648 = 0. What is u?
-1134, -2, -1
Suppose -i**4/5 + 261*i**3/5 - 1287*i**2/5 + 359*i - 768/5 = 0. What is i?
1, 3, 256
Determine g so that -g**4/3 + 20*g**3/3 - g**2 - 284*g/3 - 380/3 = 0.
-2, 5, 19
Determine g so that 78*g**4 + 2254*g**3 + 14900*g**2 - 19024*g + 1792 = 0.
-16, -14, 4/39, 1
Let -2*j**3 + 338782*j**