027*j + 221966688243.
3*(j + 544018)**2/4
Factor g**4/5 - 129*g**3 + 14948*g**2/5 - 27324*g/5.
g*(g - 621)*(g - 22)*(g - 2)/5
Determine g, given that -g**3 - 477*g**2 - 57120*g - 56644 = 0.
-238, -1
Let -2*r**5/21 + 2*r**4/3 + 104*r**3/7 - 344*r**2/21 - 640*r/21 = 0. What is r?
-10, -1, 0, 2, 16
Solve -2*k**3 + 2680*k**2 + 10746*k + 8064 = 0 for k.
-3, -1, 1344
What is k in -5*k**3 + 37920*k**2 - 72123300*k + 860027760 = 0?
12, 3786
Factor -g**3 - 30155*g**2 - 30154*g.
-g*(g + 1)*(g + 30154)
Suppose -675*j**5 - 7605*j**4 - 14817*j**3 - 9627*j**2 - 1848*j - 108 = 0. Calculate j.
-9, -1, -2/15
Solve -5*x**3 - 1510*x**2 + 13955*x - 12440 = 0 for x.
-311, 1, 8
Factor -3*g**3 - 393*g**2 - 7950*g.
-3*g*(g + 25)*(g + 106)
Factor -3*x**2/5 + 998*x/5 + 333/5.
-(x - 333)*(3*x + 1)/5
Suppose 2*x**2/11 - 2432*x/11 - 2434/11 = 0. What is x?
-1, 1217
Suppose -x**3/2 + 8493*x**2/2 + x/2 - 8493/2 = 0. What is x?
-1, 1, 8493
Find g such that -3*g**4/2 - 389676*g**3 - 33743343744*g**2 - 973922878545216*g + 3896231432620416 = 0.
-86596, 4
Factor q**3/4 + 13*q**2 + 269*q/4 - 161/2.
(q - 1)*(q + 7)*(q + 46)/4
Factor m**4 + 290*m**3 + 22072*m**2 + 140718*m - 1292265.
(m - 5)*(m + 13)*(m + 141)**2
Determine y, given that 310*y**2/7 - 119326*y/7 - 1320 = 0.
-12/155, 385
Let -4*k**2/3 - 29108*k + 87328/3 = 0. Calculate k.
-21832, 1
Factor -5*m**2/2 - 83490*m.
-5*m*(m + 33396)/2
Solve 59*r**2/3 - 412*r/3 - 7/3 = 0.
-1/59, 7
Find g such that -11*g**5 + 50224*g**4 + 59369*g**3 + 9134*g**2 = 0.
-1, -2/11, 0, 4567
What is d in -3*d**5/5 - 115*d**4 - 3189*d**3/5 - 5029*d**2/5 - 1296*d/5 + 1116/5 = 0?
-186, -3, -2, -1, 1/3
What is n in 27899524*n**3/7 - 103632840*n**2 + 1098672*n/7 - 416/7 = 0?
2/2641, 26
Factor 4*i**3 - 336*i**2 - 292324*i - 291984.
4*(i - 316)*(i + 1)*(i + 231)
Factor -5*s**2 - 425*s - 3420.
-5*(s + 9)*(s + 76)
Suppose 9*s**5/5 + 19743*s**4 + 32868*s**3/5 - 78972*s**2 - 131616*s/5 = 0. Calculate s.
-10968, -2, -1/3, 0, 2
Factor 4*c**2 + 251584*c - 1006400.
4*(c - 4)*(c + 62900)
Determine j, given that -3*j**2/5 + 13014*j/5 - 13011/5 = 0.
1, 4337
Find m such that -m**5/3 + 16*m**3/3 - 38*m**2/3 + 11*m - 10/3 = 0.
-5, 1, 2
Suppose 2*i**3/7 - 8702*i**2/7 + 34784*i/7 - 4968 = 0. What is i?
2, 4347
Let -20*a**3 + 2326812*a**2 + 3257568*a + 930736 = 0. What is a?
-1, -2/5, 116342
Find d such that 3*d**2 + 237*d - 13338 = 0.
-117, 38
Factor 2*b**3/3 - 106*b**2/3 + 878*b/3 - 258.
2*(b - 43)*(b - 9)*(b - 1)/3
Let -q**2/4 - 5299*q/4 + 31938 = 0. What is q?
-5323, 24
Let -2*n**5 - 222*n**4 + 17384*n**3 = 0. Calculate n.
-164, 0, 53
Let 3*y**4 + 1512*y**3 - 1527*y**2 - 6048*y + 6060 = 0. Calculate y.
-505, -2, 1, 2
Factor -4*u**2 + 3924*u + 223560.
-4*(u - 1035)*(u + 54)
Factor -20*a**3/3 - 79354*a**2/3 + 7936*a.
-2*a*(a + 3968)*(10*a - 3)/3
Suppose 4*z**3 + 48*z**2 - 13680*z - 369664 = 0. Calculate z.
-38, 64
What is b in -49005*b**3/2 + 11322135*b**2/2 - 228700*b + 2310 = 0?
2/99, 231
Suppose a**2/5 + 3108*a/5 + 3107/5 = 0. Calculate a.
-3107, -1
Factor -3*d**3/2 + 331821*d**2/2 + 165912*d.
-3*d*(d - 110608)*(d + 1)/2
Factor b**3/2 - 313*b**2/6 + 397*b/6 + 515/2.
(b - 103)*(b - 3)*(3*b + 5)/6
Determine l so that -3*l**2/2 - 13143*l - 707535/2 = 0.
-8735, -27
Let -2*c**4/7 - 450*c**3/7 + 4254*c**2/7 + 9850*c/7 + 5148/7 = 0. Calculate c.
-234, -1, 11
Find q such that q**2 - 29688*q + 220344336 = 0.
14844
Factor 2*f**4 - 10*f**3 - 450*f**2 - 2750*f - 5000.
2*(f - 20)*(f + 5)**3
What is s in s**3/4 + 19*s**2/2 + 359*s/4 + 161/2 = 0?
-23, -14, -1
Factor -4*g**4 - 340*g**3 - 1284*g**2 + 1044*g + 5832.
-4*(g - 2)*(g + 3)**2*(g + 81)
Factor p**5 - 32*p**4 + 90*p**3 - 88*p**2 + 29*p.
p*(p - 29)*(p - 1)**3
What is i in -3*i**2 + 489350*i - 326232 = 0?
2/3, 163116
Suppose -4*p**3 + 2840*p**2 + 5728*p - 22784 = 0. What is p?
-4, 2, 712
What is y in -y**4 - 59*y**3 + 469*y**2 + 4871*y - 17160 = 0?
-65, -8, 3, 11
Find z such that 5*z**2 + 5140*z + 1271975 = 0.
-613, -415
Let -3*r**4 + 3564*r**3 - 979695*r**2 - 47656350*r = 0. Calculate r.
-42, 0, 615
Solve -5*s**3 + 390*s**2 + 9405*s - 177190 = 0.
-29, 13, 94
What is n in -2*n**2/9 - 35762*n/9 = 0?
-17881, 0
Suppose 3*n**5 - 252*n**4 + 3747*n**3 + 6606*n**2 - 42360*n + 32256 = 0. Calculate n.
-4, 1, 2, 21, 64
Factor -3*r**2 + 4377*r + 66330.
-3*(r - 1474)*(r + 15)
Factor 4*p**3 - 1148*p**2 + 108000*p - 3312576.
4*(p - 108)**2*(p - 71)
Factor -f**3/3 - 47*f**2/3 + 270*f + 600.
-(f - 15)*(f + 2)*(f + 60)/3
Solve -5*f**4/2 - 2144*f**3/3 + 4907*f**2/6 + 4016*f/3 - 574/3 = 0 for f.
-287, -1, 2/15, 2
Factor -4*b**3 + 2172*b**2 - 15008*b.
-4*b*(b - 536)*(b - 7)
Let -2*m**2/3 + 30818*m + 92456/3 = 0. What is m?
-1, 46228
Factor 21*c**4 - 18978*c**3 + 4284960*c**2 + 1225824*c.
3*c*(c - 452)**2*(7*c + 2)
Determine v so that 18*v**5 - 552*v**4 + 3770*v**3 + 8284*v**2 - 14720*v - 25600 = 0.
-5/3, 2, 16
What is x in -2*x**5 + 72*x**4 - 194*x**3 - 7620*x**2 - 30656*x - 33600 = 0?
-4, -2, 21, 25
Factor -2*i**2/3 - 4220*i/3.
-2*i*(i + 2110)/3
Factor 2*d**3/5 + 11936*d**2/5 + 14312*d + 95392/5.
2*(d + 2)*(d + 4)*(d + 5962)/5
What is f in 14*f**4/9 - 10336*f**3/9 - 8402*f**2/9 + 748156*f/9 - 23648 = 0?
-9, 2/7, 8, 739
What is b in -4*b**2 + 1012*b + 1016 = 0?
-1, 254
Factor 3*z**4/5 - 91593*z**3/5 - 109926*z**2 - 1099308*z/5 - 732888/5.
3*(z - 30537)*(z + 2)**3/5
Let -3*u**3/4 - 3957*u**2/4 - 23661*u/4 - 35451/4 = 0. What is u?
-1313, -3
Factor f**3/6 + 229*f**2/2 + 26056*f/3 - 8800.
(f - 1)*(f + 88)*(f + 600)/6
Determine v so that -3*v**5/7 - 22*v**4/7 + 20*v**3/7 + 198*v**2/7 + 9*v = 0.
-7, -3, -1/3, 0, 3
Factor 32*f**3 - 2540*f**2 - 234892*f + 88440.
4*(f - 134)*(f + 55)*(8*f - 3)
Suppose -y**5 + 480*y**4 - 13106*y**3 + 12148*y**2 + 13107*y - 12628 = 0. What is y?
-1, 1, 28, 451
What is r in -2*r**2/3 + 2507476*r/3 - 785929486322/3 = 0?
626869
Factor -4*m**3 - 5740*m**2 - 22908*m - 17172.
-4*(m + 1)*(m + 3)*(m + 1431)
Factor -4*f**3 + 202204*f**2 - 2426016*f + 7277616.
-4*(f - 50539)*(f - 6)**2
What is b in -2*b**2/11 - 1168*b/11 + 27922/11 = 0?
-607, 23
Determine k, given that -k**4/2 + 83*k**3/2 + 531*k**2/2 + 277*k/2 - 445 = 0.
-5, -2, 1, 89
Let -4*j**5/3 - 12*j**4 + 52*j**3/3 + 332*j**2 + 384*j - 720 = 0. What is j?
-6, -3, 1, 5
Determine c, given that -3*c**4/2 + 93*c**3/4 - 195*c**2/2 + 321*c/4 + 135/2 = 0.
-1/2, 2, 5, 9
Find y, given that -2*y**2/7 + 13202*y - 184820/7 = 0.
2, 46205
Suppose -2*h**5/25 + 86*h**4/25 - 1018*h**3/25 + 386*h**2/5 + 14268*h/25 + 11232/25 = 0. What is h?
-2, -1, 9, 13, 24
Let x**5/4 + 13*x**4/2 + 40*x**3 - 117*x**2/2 - 1521*x/4 = 0. Calculate x.
-13, -3, 0, 3
Solve -2*g**4/15 + 1906*g**3/15 - 44542*g**2/15 - 9290*g/3 = 0.
-1, 0, 25, 929
Let -2*l**4/5 - 108*l**3/5 + 1558*l**2 = 0. Calculate l.
-95, 0, 41
Solve 2*y**3/7 + 1592*y**2/7 - 2760*y + 58176/7 = 0.
-808, 6
Factor 16*t**2 - 611064*t + 5834362689.
(4*t - 76383)**2
Factor -i**2/4 - 29*i + 13083.
-(i - 178)*(i + 294)/4
Let 25*u**5 - 415*u**4 - 1395*u**3 + 4435*u**2 + 7670*u + 2280 = 0. Calculate u.
-4, -1, -2/5, 3, 19
Solve 795*x**4 + 11124*x**3/7 - 5577*x**2/7 - 11124*x/7 + 12/7 = 0 for x.
-2, -1, 2/1855, 1
Find t, given that 2*t**2 - 1020*t - 5150 = 0.
-5, 515
Determine s so that -6*s**5 - 1808*s**4/7 + 62022*s**3/7 + 2625124*s**2/7 - 2543640*s/7 + 511024/7 = 0.
-41, 2/7, 2/3, 38
Factor -a**2/4 + 34245*a/2 - 1172720025/4.
-(a - 34245)**2/4
Factor -u**3/4 - 9*u**2/2 - 20*u - 24.
-(u + 2)*(u + 4)*(u + 12)/4
Suppose -65*n**5 - 2360*n**4 - 31140*n**3 - 177840*n**2 - 388800*n - 103680 = 0. What is n?
-12, -6, -4/13
Solve -5*g**4 - 20710*g**3 - 268665*g**2 - 1156520*g - 1651600 = 0 for g.
-4129, -5, -4
Factor -41*y**2 - 11064*y/5 + 324/5.
-(y + 54)*(205*y - 6)/5
Suppose k**5/2 - 13*k**4 - 627*k**3/2 + 8800*k**2 - 16250*k = 0. What is k?
-26, 0, 2, 25
What is b in 5*b**2 - 3370*b + 33200 = 0?
10, 664
Solve -3*c**4 + 1302*c**3 - 1281*c**2 - 7794*c = 0.
-2, 0, 3, 433
Suppose 4*q**5/3 + 3496*q**4/3 - 45636*q**3 + 1559824*q**2/3 - 4708592*q/3 + 1405696 = 0. Calculate q.
-912, 2, 17
Determine u, given that 5*u**3 - 547*u**2 + 1288*u - 428 = 0.
2/5, 2, 107
Factor -p**4/3 - 8020*p**3/3 - 16096132*p**2/3 - 21429440*p - 21418752.
-(p + 2)**2*(p + 4008)**2/3
Determine w, given that -2*w**2/7 + 2348*w/7 = 0.
0, 1174
Suppose -2*h**2 - 1328*h + 80640 = 0. What is h?
-720