r 4*u**2/7 + 80*u/7 + 48.
4*(u + 6)*(u + 14)/7
Determine u, given that u**3 + 71*u**2 + 1135*u + 2793 = 0.
-49, -19, -3
Factor n**5/3 - 5*n**4 + 74*n**3/3 - 110*n**2/3 - 25*n + 125/3.
(n - 5)**3*(n - 1)*(n + 1)/3
Factor 2*b**3/7 + 46678*b**2/7 + 233340*b/7.
2*b*(b + 5)*(b + 23334)/7
Solve 4*a**2 - 91196*a + 1002672 = 0 for a.
11, 22788
Determine j, given that -j**3/8 + 947*j**2/4 - 3785*j/8 + 473/2 = 0.
1, 1892
Factor o**3/4 + 1473*o**2/2 - 2947*o/4.
o*(o - 1)*(o + 2947)/4
Determine v so that -v**2/7 - 25546*v/7 - 163149529/7 = 0.
-12773
Factor -5566*y**3 + 5170*y**2 - 1328*y + 104.
-2*(11*y - 2)**2*(23*y - 13)
Factor -2*r**4 + 106*r**3 + 110*r**2 - 106*r - 108.
-2*(r - 54)*(r - 1)*(r + 1)**2
Solve a**5 - 395*a**4 - 9446*a**3 - 69904*a**2 - 134272*a + 214016 = 0 for a.
-8, 1, 418
Factor u**2/4 + 99536*u + 9907415296.
(u + 199072)**2/4
Factor n**4 - 706*n**3 + 116432*n**2 + 2949856*n - 6359808.
(n - 364)**2*(n - 2)*(n + 24)
Find q, given that 2*q**4 - 666*q**3 + 3852*q**2 + 23976*q - 141264 = 0.
-6, 6, 327
Factor 6*t**2/7 + 81654*t/7 + 163284/7.
6*(t + 2)*(t + 13607)/7
Factor -4*c**4 + 9736*c**3 - 6768852*c**2 + 1027751632*c - 44573343376.
-4*(c - 1123)**2*(c - 94)**2
Solve 2*c**5/5 + 938*c**4/5 + 108534*c**3/5 - 346418*c**2/5 - 1433936*c/5 + 334176 = 0.
-236, -3, 1, 5
Factor 5*y**3 + 290*y**2 + 1100*y + 1080.
5*(y + 2)**2*(y + 54)
Suppose 5*b**3 + 1230*b**2 - 180255*b - 181480 = 0. What is b?
-349, -1, 104
Factor -3*s**5 + 177*s**4 - 3381*s**3 + 20631*s**2.
-3*s**2*(s - 23)**2*(s - 13)
Factor f**4 + 29*f**3 + 717*f**2/4 - 899*f/2 + 961/4.
(f - 1)**2*(2*f + 31)**2/4
Factor -x**3 + 77*x**2 - 744*x + 1188.
-(x - 66)*(x - 9)*(x - 2)
Factor -p**3/5 - 5526*p**2/5 - 2209*p + 16572/5.
-(p - 1)*(p + 3)*(p + 5524)/5
Factor -5*f**3 - 31725*f**2 + 4187625*f - 136784375.
-5*(f - 65)**2*(f + 6475)
Suppose v**4/9 - 1039*v**3/9 + 39905*v**2 - 41059469*v/9 - 83563846/9 = 0. What is v?
-2, 347
Determine w so that -55*w**2/4 + 41*w/2 - 27/4 = 0.
27/55, 1
Suppose -5*i**5/3 + 16*i**4/3 + 122*i**3/3 + 80*i**2/3 - 7*i = 0. Calculate i.
-3, -1, 0, 1/5, 7
Find u such that -5*u**2 - 85*u + 2640 = 0.
-33, 16
Find z, given that -z**3/7 + 4701*z**2/7 - 18792*z/7 + 2684 = 0.
2, 4697
Factor 3*c**3/8 - 57*c**2 + 14793*c/8 + 16665/2.
3*(c - 101)*(c - 55)*(c + 4)/8
Determine w so that w**5 + 11769*w**4 + 586814*w**3 + 10130848*w**2 + 66009600*w + 96002048 = 0.
-11719, -16, -2
Factor 4*y**3/5 - 84*y**2/5 - 664*y/5 + 3744/5.
4*(y - 26)*(y - 4)*(y + 9)/5
What is y in -4124*y**3 + 48*y**2 = 0?
0, 12/1031
Find o, given that -o**3/3 + 4486*o**2/3 - 8963*o + 13440 = 0.
3, 4480
Suppose v**3 + 44*v**2 + 340*v = 0. Calculate v.
-34, -10, 0
Let -5*y**5 + 1195*y**4 - 2250*y**3 - 28600*y**2 + 37280*y + 151680 = 0. What is y?
-4, -2, 4, 237
Factor -33*c**3/7 - 96*c**2/7 - 60*c/7.
-3*c*(c + 2)*(11*c + 10)/7
Factor c**3/3 - 38173*c**2/3 - 38174*c/3.
c*(c - 38174)*(c + 1)/3
Factor -4*g**3 + 3124796*g**2 - 610270315200*g - 610273440000.
-4*(g - 390600)**2*(g + 1)
What is u in 11858*u**5/9 + 13090*u**4/9 - 10594*u**3/9 - 13058*u**2/9 - 1264*u/9 - 32/9 = 0?
-1, -4/77, 1
Solve -35*l**4 + 7205*l**3/4 - 33545*l**2/2 - 37505*l/4 - 2535/2 = 0 for l.
-2/7, -1/4, 13, 39
Factor -2*y**5/19 + 258*y**4/19 - 8140*y**3/19.
-2*y**3*(y - 74)*(y - 55)/19
Determine m, given that -2*m**3 - 782*m**2 - 39598*m + 40382 = 0.
-331, -61, 1
Find a such that -2*a**3/3 + 526*a**2/3 - 10304*a - 165048 = 0.
-13, 138
Factor z**3 + 64*z**2 - 851*z - 1950.
(z - 13)*(z + 2)*(z + 75)
Factor 4*s**2/3 + 3476*s/3 + 384280/3.
4*(s + 130)*(s + 739)/3
Solve 39*l**3 + 7563*l**2 - 105531*l + 8073 = 0 for l.
-207, 1/13, 13
What is l in 2*l**4/11 + 19724*l**3/11 - 24*l**2/11 - 21520*l - 315584/11 = 0?
-9862, -2, 4
Determine k, given that -k**3 + 6239*k**2 + 4*k - 24956 = 0.
-2, 2, 6239
What is b in 512*b**3 + 18880*b**2/3 + 16226*b/9 + 392/3 = 0?
-12, -7/48
Factor -5*q**2 - 19850*q + 39720.
-5*(q - 2)*(q + 3972)
Find i such that -4*i**3 + 124*i**2 - 1240*i + 4032 = 0.
8, 9, 14
Determine j, given that -j**2/4 + 7259*j/2 - 52693081/4 = 0.
7259
Determine w, given that -4*w**4 + 34028*w**3 + 68068*w**2 + 34036*w = 0.
-1, 0, 8509
Determine y, given that y**2 + 4875*y - 58644 = 0.
-4887, 12
Factor o**3 - 178*o**2 - 2091*o + 2268.
(o - 189)*(o - 1)*(o + 12)
Factor -5*q**3/3 - 2141*q**2/3 - 4688*q/3 - 284.
-(q + 2)*(q + 426)*(5*q + 1)/3
Determine n, given that n**4/11 - 268*n**3/11 + 6021*n**2/11 - 40610*n/11 + 85400/11 = 0.
5, 14, 244
Factor 4*d**2 - 4588*d - 18416.
4*(d - 1151)*(d + 4)
Determine y so that 4*y**2 + 356608*y + 7948079104 = 0.
-44576
Find m, given that 8*m**3/13 + 682*m**2/13 - 606*m/13 - 7740/13 = 0.
-86, -3, 15/4
Suppose 15*u**3/2 - 32455*u**2/2 + 48585*u + 64820 = 0. What is u?
-1, 4, 6482/3
Factor 259*k**2 + 505*k - 26.
(k + 2)*(259*k - 13)
Find u, given that 2*u**4 - 166*u**3 + 3312*u**2 + 33480*u - 1123200 = 0.
-16, 30, 39
Find c, given that 28*c**4 + 36840*c**3 - 1568364*c**2 + 445096*c = 0.
-1357, 0, 2/7, 41
Factor 2*k**2/11 + 141696*k/11 + 141694/11.
2*(k + 1)*(k + 70847)/11
Let k**2 + 104720*k + 2741569600 = 0. Calculate k.
-52360
Factor s**2/2 + 12091*s/2 - 30240.
(s - 5)*(s + 12096)/2
Factor -5*z**2 - 50115*z.
-5*z*(z + 10023)
Find h such that -h**5 - 5151*h**4/4 + 1612*h**3 + 1931*h**2/2 - 1611*h + 1289/4 = 0.
-1289, -1, 1/4, 1
Determine q, given that -5*q**4 + 280*q**3 + 585*q**2 - 280*q - 580 = 0.
-2, -1, 1, 58
Factor -b**4/7 + 2687*b**3/7 - 2298*b**2.
-b**2*(b - 2681)*(b - 6)/7
Find u such that -4*u**4 + 944*u**3 + 17444*u**2 - 60720*u = 0.
-20, 0, 3, 253
Factor 2*b**3/11 + 3276*b**2/11 - 6558*b/11 + 3280/11.
2*(b - 1)**2*(b + 1640)/11
Find a, given that -4*a**2 - 9805*a - 2451 = 0.
-2451, -1/4
Determine h so that h**3/5 - 191*h**2/5 - 4414*h/5 - 8056/5 = 0.
-19, -2, 212
Factor 5*b**3 + 4385*b**2 - 4390*b.
5*b*(b - 1)*(b + 878)
Factor -q**3/5 - 312*q**2/5 - 8489*q/5 - 8178/5.
-(q + 1)*(q + 29)*(q + 282)/5
Determine j, given that j**2 + 50862*j + 646735761 = 0.
-25431
Solve -2*m**4/5 + 15710*m**3/3 - 257074508*m**2/15 - 5716840*m + 57133488/5 = 0 for m.
-1, 2/3, 6546
Factor 3*v**3/2 - 18*v**2 - 423*v/2 + 1848.
3*(v - 16)*(v - 7)*(v + 11)/2
Suppose -3*f**4/5 + 256*f**3/5 + 2503*f**2 - 840*f = 0. What is f?
-35, 0, 1/3, 120
Solve -8*x**4 + 9044*x**3 - 2484588*x**2 - 40644036*x - 19699740 = 0 for x.
-15, -1/2, 573
Suppose 2*o**3/9 - 22*o**2 + 1486*o/9 - 910/3 = 0. Calculate o.
3, 5, 91
Determine g, given that -3*g**4 - 2970*g**3 + 30189*g**2 + 187056*g - 1944000 = 0.
-1000, -8, 9
Suppose 3*h**4/4 + 291*h**3/4 + 5091*h**2/4 - 12279*h/4 - 8541/2 = 0. Calculate h.
-73, -26, -1, 3
Let -18*w**3 - 26718*w**2 + 17818*w - 2970 = 0. What is w?
-1485, 1/3
Suppose k**2/3 - 1878904*k/3 + 882570060304/3 = 0. Calculate k.
939452
Find s, given that 146*s**2 - 126*s = 0.
0, 63/73
What is x in 15*x**5 + 2065*x**4 + 35835*x**3 + 120575*x**2 - 44250*x = 0?
-118, -15, -5, 0, 1/3
Solve 2*c**2 - 6544*c + 117144 = 0.
18, 3254
Solve -2*t**4/3 - 226*t**3/3 + 4018*t**2/3 - 4730*t = 0.
-129, 0, 5, 11
What is k in -8*k**2/17 - 458*k/17 - 372 = 0?
-34, -93/4
Let -p**4/2 - 89981*p**3/3 + 149972*p**2/3 - 29995*p/3 - 59989/6 = 0. Calculate p.
-59989, -1/3, 1
Factor -p**3/8 - 16141*p**2/2 + 96853*p/2 - 64570.
-(p - 4)*(p - 2)*(p + 64570)/8
Factor i**3/6 + 2086*i**2/3.
i**2*(i + 4172)/6
Factor -u**3/3 + 356*u**2 + 713*u + 1070/3.
-(u - 1070)*(u + 1)**2/3
Find a, given that -2*a**3 - 2606*a**2 - 873120*a - 15662232 = 0.
-642, -19
Let -5*i**2 + 1240*i + 41700 = 0. Calculate i.
-30, 278
Suppose 2*f**2/3 - 8912*f - 107040 = 0. Calculate f.
-12, 13380
Solve 3*c**3 + 2424*c**2/7 + 12585*c/7 + 4950/7 = 0 for c.
-110, -5, -3/7
Suppose 4*k**4 + 1012*k**3 + 2996*k**2 - 1012*k - 3000 = 0. Calculate k.
-250, -3, -1, 1
Factor -y**3/2 + 739*y**2 + 1479*y/2.
-y*(y - 1479)*(y + 1)/2
Suppose -2*w**4/7 - 88*w**3/7 - 654*w**2/7 + 928*w/7 + 1496/7 = 0. What is w?
-34, -11, -1, 2
Find j such that -j**5/4 + 19*j**4 - 37*j**3/2 - 19*j**2 + 75*j/4 = 0.
-1, 0, 1, 75
Suppose -z**5 - 41*z**4 - 378*z**3 + 476*z**2 + 4024*z - 6240 = 0. Calculate z.
-26, -15, -4, 2
Determine h, given that -h**3/6 + 40175*h**2/6 - 403527743*h/6 + 403487569/6 = 0.
1, 20087
Factor -4*g**3 - 2021700*g**2 - 255453419772*g + 255455441476.
-4*(g - 1)*(g + 252713)**2
Determine k so that -2*k**3 - 886*k