*d**3 + 111320*d**2 - 217140*d - 298400 = 0.
-373, -10, -8, -1, 2
Solve c**5 + 1238*c**4 - 2479*c**3 + 1240*c**2 = 0 for c.
-1240, 0, 1
Factor u**3/7 + 142*u**2/7 + 5111*u/7 + 710.
(u + 1)*(u + 70)*(u + 71)/7
Factor -j**2/4 + 39069*j/4 - 9767.
-(j - 39068)*(j - 1)/4
Factor 2*v**2/11 + 3074*v/11.
2*v*(v + 1537)/11
Factor 5*j**4/3 - 4230*j**3 + 2734215*j**2 - 63805320*j + 379211760.
5*(j - 1257)**2*(j - 12)**2/3
Factor -2*y**2 - 118*y - 900.
-2*(y + 9)*(y + 50)
Factor 3*j**2/4 + 1077570*j + 387052368300.
3*(j + 718380)**2/4
Factor -r**3 + 538309*r**2 - 72443875715*r - 72444414025.
-(r - 269155)**2*(r + 1)
Let -s**3/3 + 1052*s**2/3 - 19661*s/3 + 35122/3 = 0. What is s?
2, 17, 1033
Factor 2*m**2 + 4298*m + 287040.
2*(m + 69)*(m + 2080)
Let 2*j**3 + 172294*j**2/15 + 22972*j/15 = 0. What is j?
-5743, -2/15, 0
Let -2*f**5/7 + 4*f**4 - 104*f**3/7 + 132*f**2/7 - 54*f/7 = 0. What is f?
0, 1, 3, 9
Solve -4*t**4 + 504*t**3 - 5364*t**2 - 12256*t - 6384 = 0.
-1, 14, 114
Factor w**2/4 - 7*w/4 - 1647/2.
(w - 61)*(w + 54)/4
Suppose -789*o**4 - 9*o**3 + 3156*o**2 + 36*o = 0. Calculate o.
-2, -3/263, 0, 2
Find y, given that 13872*y**5 + 10336*y**4 - 6756*y**3 - 3612*y**2 - 392*y = 0.
-1, -7/34, 0, 2/3
Let 5*n**5 + 20115*n**4 + 20400955*n**3 + 342623485*n**2 + 1606085520*n + 1283842880 = 0. Calculate n.
-2003, -8, -1
Factor -y**4/2 + 113*y**3 - 891*y**2/2 + 333*y.
-y*(y - 222)*(y - 3)*(y - 1)/2
Suppose u**4/6 + 5*u**3/2 - 121*u**2/6 + 39*u/2 + 42 = 0. What is u?
-21, -1, 3, 4
Let -5*c**2 - 3005*c + 342510 = 0. Calculate c.
-699, 98
Determine n so that -3*n**5 + 15*n**4 + 891*n**3 - 1491*n**2 - 36456*n + 37044 = 0.
-14, -7, 1, 7, 18
Suppose -3*u**3 + 3522*u**2 - 55776*u + 222336 = 0. What is u?
8, 1158
Factor 5*t**3 + 70*t**2 - 335*t - 2800.
5*(t - 7)*(t + 5)*(t + 16)
Suppose f**3/9 + 3389*f**2/9 + 23684*f/9 + 33820/9 = 0. Calculate f.
-3382, -5, -2
Let 2*z**5 - 157*z**4 + 3888*z**3 - 28657*z**2 - 17344*z + 15360 = 0. What is z?
-1, 1/2, 15, 32
Find k such that -8*k**4/3 - 5182*k**3/3 - 3016*k**2 - 2582*k/3 + 1292/3 = 0.
-646, -1, 1/4
Factor k**2/9 - 83*k/9 - 28/3.
(k - 84)*(k + 1)/9
Determine q so that -q**3/4 - 5160*q**2 + 41283*q/4 - 10321/2 = 0.
-20642, 1
Factor -l**4 + 49*l**3 - 212*l**2 - 400*l + 2112.
-(l - 44)*(l - 4)**2*(l + 3)
Factor -i**4/4 + 1885*i**3/4 + 943*i**2/2.
-i**2*(i - 1886)*(i + 1)/4
Determine a, given that a**5 - 1319*a**4 + 3944*a**3 + 5264*a**2 = 0.
-1, 0, 4, 1316
Factor 2*q**2/9 + 98*q/3 + 580/9.
2*(q + 2)*(q + 145)/9
Determine f, given that f**3 - 379*f**2 - 3478*f - 5432 = 0.
-7, -2, 388
Solve 82*w**5 - 27548*w**4 + 2620032*w**3 - 51449472*w**2 + 284843520*w + 14017536 = 0 for w.
-2/41, 12, 156
Determine a so that -171*a**2 - 159*a + 12 = 0.
-1, 4/57
Determine y so that -116*y**2 - 1040*y - 896 = 0.
-8, -28/29
What is x in 2*x**2/7 - 59644*x/7 + 59642/7 = 0?
1, 29821
Factor j**2/3 + 4996*j/3 - 35021/3.
(j - 7)*(j + 5003)/3
Determine n, given that 2*n**5 - 82*n**4 + 532*n**3 - 68*n**2 - 2070*n - 1386 = 0.
-1, 3, 7, 33
Factor -3*x**4/7 - 29418*x**3/7 + 58845*x**2/7 - 29424*x/7.
-3*x*(x - 1)**2*(x + 9808)/7
Determine x, given that x**3/2 + 1569*x**2 + 1257120*x + 40947968 = 0.
-1552, -34
Let 17*d**5 - 36*d**4 + 4*d**3 + 34*d**2 - 21*d + 2 = 0. Calculate d.
-1, 2/17, 1
Factor k**4/6 - 2*k**3/3 - 1847*k**2/2 - 24654*k + 25578.
(k - 87)*(k - 1)*(k + 42)**2/6
Find c, given that -c**3 + 418*c**2 - 42833*c - 178084 = 0.
-4, 211
Determine t so that 300*t**2 - 1996*t + 2480 = 0.
124/75, 5
Solve b**5/3 + 25*b**4/3 + 6*b**3 - 1108*b**2/3 - 1048*b/3 + 704 = 0.
-22, -8, -2, 1, 6
Find r such that 14*r**5 - 304*r**4 + 430*r**3 + 988*r**2 + 240*r = 0.
-1, -2/7, 0, 3, 20
Factor -7*x**2/9 - 158299*x - 407054/9.
-(x + 203527)*(7*x + 2)/9
Let 2*q**3/19 + 208*q**2/19 - 638*q/19 + 428/19 = 0. Calculate q.
-107, 1, 2
Find y, given that -16*y**4/3 - 260*y**3 - 192*y**2 = 0.
-48, -3/4, 0
Determine b so that -2*b**5/3 - 746*b**4/3 - 740*b**3/3 + 496*b**2 = 0.
-372, -2, 0, 1
Factor k**3/9 + 6340*k**2/9 + 12677*k/9 + 6338/9.
(k + 1)**2*(k + 6338)/9
Solve -3*y**2 - 2535*y - 207828 = 0.
-753, -92
Let 5*o**3/3 - 2551*o**2/3 + 330671*o/3 - 448063 = 0. Calculate o.
21/5, 253
Factor -h**3/5 - 262*h**2/5 + 3040*h + 1104000.
-(h - 138)*(h + 200)**2/5
Determine g so that -3*g**5/2 - 27*g**4 + 1572*g**3 - 15960*g**2 + 30600*g + 138000 = 0.
-46, -2, 10
Let -9*h**3 + 798*h**2 + 1905*h + 546 = 0. Calculate h.
-2, -1/3, 91
Factor 3*m**3/4 + 11715*m**2/2 + 45747075*m/4.
3*m*(m + 3905)**2/4
Factor -2*f**4 + 2106*f**3 - 2104*f**2.
-2*f**2*(f - 1052)*(f - 1)
Factor -k**4/2 - 8287*k**3 + 16576*k**2.
-k**2*(k - 2)*(k + 16576)/2
Suppose -4*k**5 + 200*k**4 - 1660*k**3 - 20680*k**2 - 29440*k + 51584 = 0. What is k?
-4, 1, 26, 31
Factor -4*s**3 + 1544*s**2 + 29140*s - 699608.
-4*(s - 403)*(s - 14)*(s + 31)
Factor w**3/4 - 84725*w**2/4 + 21181*w.
w*(w - 84724)*(w - 1)/4
Suppose -5*l**4/2 + 275*l**3/2 - 2130*l**2 + 6950*l - 6440 = 0. Calculate l.
2, 23, 28
What is u in 108*u**5 - 1221*u**4 + 4371*u**3 - 6201*u**2 + 3753*u - 810 = 0?
5/9, 3/4, 1, 3, 6
Factor 3*s**2/7 + 359862*s/7.
3*s*(s + 119954)/7
Factor a**3 + 872*a**2 - 18799*a - 41078.
(a - 23)*(a + 2)*(a + 893)
Find w, given that -w**5 - 130*w**4 - 4032*w**3 - 10826*w**2 + 4033*w + 10956 = 0.
-83, -44, -3, -1, 1
Suppose 2*x**4/7 - 12*x**3 - 2*x**2 + 600*x/7 - 72 = 0. What is x?
-3, 1, 2, 42
Find k such that -2*k**5 - 642878*k**4 + 1285762*k**3 - 642882*k**2 = 0.
-321441, 0, 1
Solve 28986498*n**4 - 695645496*n**3 + 4173324776*n**2 + 4385472*n + 1152 = 0.
-2/3807, 12
Factor -3*w**2 + 23151*w.
-3*w*(w - 7717)
Find i such that -i**5/2 - 14*i**4 + 1203*i**3 + 14*i**2 - 2405*i/2 = 0.
-65, -1, 0, 1, 37
Factor 2*v**3 - 144*v**2 - 10530*v.
2*v*(v - 117)*(v + 45)
Solve 2*y**3/9 - 78020*y**2/9 - 2*y/9 + 78020/9 = 0.
-1, 1, 39010
Factor -4*l**3 + 12860*l**2 - 10329792*l - 10342656.
-4*(l - 1608)**2*(l + 1)
Find j, given that -5*j**5 - 14025*j**4 + 42120*j**3 - 20*j**2 - 56160*j = 0.
-2808, -1, 0, 2
Factor -2*a**3/9 + 3244*a**2/9 - 1315442*a/9.
-2*a*(a - 811)**2/9
What is r in -9*r**2 - 46852*r + 10412 = 0?
-5206, 2/9
What is m in -3*m**3 + 6387*m**2 - 3396285*m - 3402675 = 0?
-1, 1065
Suppose 3*c**2/8 - 168039*c/8 - 84021/4 = 0. Calculate c.
-1, 56014
Solve 4*k**4 - 992*k**3 - 3000*k**2 - 3008*k - 1004 = 0 for k.
-1, 251
Suppose -3*l**4/2 - 2049*l**3/2 + 16611*l**2/2 + 18657*l/2 = 0. What is l?
-691, -1, 0, 9
Let -t**2 - 11338*t - 32137561 = 0. Calculate t.
-5669
Solve 60*v**5 + 3565*v**4 - 17755*v**3 - 9765*v**2 + 9895*v - 1600 = 0 for v.
-64, -1, 1/4, 1/3, 5
Suppose -d**4/2 + 220*d**3 - 9933*d**2/2 - 10595*d - 5408 = 0. What is d?
-1, 26, 416
Solve -5*t**4 + 22070*t**3 - 154300*t**2 + 242410*t - 110175 = 0.
1, 5, 4407
Factor -4*u**3 + 1008*u**2 + 47628*u + 518616.
-4*(u - 294)*(u + 21)**2
Suppose 2*u**2/13 + 2324*u/13 - 37696/13 = 0. Calculate u.
-1178, 16
Find w such that -2*w**4 - 78*w**3 - 534*w**2 + 1310*w - 696 = 0.
-29, -12, 1
Determine h, given that -10*h**5 - 1494*h**4 + 904*h**3 + 600*h**2 = 0.
-150, -2/5, 0, 1
Solve -y**3/4 + 2907*y**2 - 33790965*y/4 - 33814225/2 = 0.
-2, 5815
Suppose -5*k**2/2 + 7015*k = 0. What is k?
0, 2806
Suppose -2*c**2 - 1352*c - 13320 = 0. Calculate c.
-666, -10
Solve h**5/2 - 292*h**4 - 603*h**3/2 + 5257*h**2 + 4696*h - 9360 = 0 for h.
-4, -2, 1, 4, 585
Suppose 25*q**4 - 15*q**3 + 9*q**2/4 = 0. Calculate q.
0, 3/10
Factor -g**3/6 + 935*g**2/6 - 45967*g/6 + 15011/2.
-(g - 883)*(g - 51)*(g - 1)/6
Determine y, given that y**3 - 57*y**2/4 - 95*y/2 + 51/4 = 0.
-3, 1/4, 17
Factor 2*o**3/9 + 110*o**2/3 + 672*o.
2*o*(o + 21)*(o + 144)/9
Factor -20*x**3 - 91415*x**2 - 104034700*x + 970158500.
-5*(x + 2290)**2*(4*x - 37)
Suppose -2*m**3 + 19136*m**2 - 44663066*m - 5343244068 = 0. Calculate m.
-114, 4841
Suppose -l**2/2 + 363*l/2 + 920 = 0. Calculate l.
-5, 368
Suppose 2*a**2 + 2154*a - 2156 = 0. What is a?
-1078, 1
Factor g**2/3 - 1080*g - 3241/3.
(g - 3241)*(g + 1)/3
Let 14*o**5/13 - 970938*o**4/13 + 22446283354*o**3/13 - 172989227931382*o**2/13 + 296474177926176*o/13 + 98829001140904/13 = 0. Calculate o.
-2/7, 2, 23117
Solve -5*z**4 - 870*z**3 - 8135*z**2 + 10770*z + 18040 = 0 for z.
-164, -11, -1, 2
Determine z so that z**3/6 - 2*z**2/3 - 3550*z/3 + 40000 = 0.
-96, 50
What is h in 3*h**3/4 + 1077*h**2/2 + 3150*h 