so that 220*a**5 + 43745*a**4 + 36150*a**3 - 94975*a**2 + 12880*a + 1980 = 0.
-198, -2, -1/11, 1/4, 1
Find p, given that 5*p**4 - 2310*p**3 - 38025*p**2 - 103070*p + 143400 = 0.
-12, -5, 1, 478
What is s in 12*s**5 + 12688*s**4 + 3324128*s**3 - 15717624*s**2 + 19147860*s - 6767064 = 0?
-531, 2/3, 1, 3
Determine u, given that u**4/5 + 1021*u**3/5 + 258039*u**2/5 - 263169*u = 0.
-513, 0, 5
Solve -f**4/7 - 1760*f**3/7 - 763768*f**2/7 + 9356160*f/7 - 28259856/7 = 0.
-886, 6
Suppose 2*p**2/5 + 22*p - 1608/5 = 0. What is p?
-67, 12
Factor -5*v**3/3 + 50*v**2/3 + 1360*v.
-5*v*(v - 34)*(v + 24)/3
Factor -l**2/3 - 220832*l/3 - 12191693056/3.
-(l + 110416)**2/3
Factor -8*a**2 + 53602*a - 13400.
-2*(a - 6700)*(4*a - 1)
Factor y**2 + 22772*y + 45540.
(y + 2)*(y + 22770)
Factor -2*x**3 - 7180*x**2 + 43136*x - 57536.
-2*(x - 4)*(x - 2)*(x + 3596)
Factor 3*p**4 - 411*p**3 + 3159*p**2 - 8181*p + 6966.
3*(p - 129)*(p - 3)**2*(p - 2)
Determine p so that -2*p**5 + 4946*p**4 + 2*p**3 - 4946*p**2 = 0.
-1, 0, 1, 2473
Let 36*t**5 - 82968*t**4 + 633196*t**3 + 1781848*t**2 + 1433168*t + 367520 = 0. What is t?
-1, -2/3, 10, 2297
Solve -6*s**2/13 + 4214*s/13 - 33328/13 = 0 for s.
8, 2083/3
Factor -3*g**3 + 96*g**2 - 723*g + 630.
-3*(g - 21)*(g - 10)*(g - 1)
Determine j so that 3*j**4 - 1071*j**3 + 20157*j**2 + 21231*j = 0.
-1, 0, 21, 337
Factor q**3/5 - 72713*q**2/5 - 218152*q/5 + 290864/5.
(q - 72716)*(q - 1)*(q + 4)/5
Factor z**2 - 457*z + 19270.
(z - 410)*(z - 47)
Solve -c**3 - 65305*c**2 - 326504*c - 261200 = 0.
-65300, -4, -1
Factor p**4/2 - 161*p**3 + 21397*p**2/2 + 364182*p + 2558322.
(p - 174)**2*(p + 13)**2/2
Factor -4*b**3 - 19692*b**2 - 39372*b - 19684.
-4*(b + 1)**2*(b + 4921)
Solve 4*y**3 - 164*y**2 + 776*y + 5984 = 0.
-4, 11, 34
Factor 51*w**2/8 + 80*w + 218.
(w + 4)*(51*w + 436)/8
What is z in 5*z**2 - 281*z + 2808 = 0?
13, 216/5
Solve -5*x**3 - 270*x**2 - 3240*x = 0 for x.
-36, -18, 0
Determine b, given that 10*b**2/7 - 2374*b/7 + 87168/7 = 0.
227/5, 192
Factor -270*z**3 + 1634*z**2 - 84*z.
-2*z*(z - 6)*(135*z - 7)
Factor -n**3/3 + 468*n**2 - 167040*n + 1937664.
-(n - 696)**2*(n - 12)/3
Find c, given that -2*c**5/11 - 998*c**4/11 + 10146*c**3/11 - 17290*c**2/11 + 8144*c/11 = 0.
-509, 0, 1, 8
What is c in -3*c**2 - 1809*c = 0?
-603, 0
Solve -c**2/5 + 7568*c/5 + 30288/5 = 0 for c.
-4, 7572
Solve 14*c**5 - 10188*c**4 + 27566*c**3 - 11592*c**2 - 5800*c = 0 for c.
-2/7, 0, 1, 2, 725
Factor -y**2/6 - 11801*y/6 + 5902.
-(y - 3)*(y + 11804)/6
Suppose 45*l**3/7 + 3*l**2/7 - 7605*l/7 - 507/7 = 0. Calculate l.
-13, -1/15, 13
Factor -c**3/6 + 20555*c**2/6 - 41107*c/6 + 6851/2.
-(c - 20553)*(c - 1)**2/6
Find w, given that 5*w**2/4 - 7275*w/2 + 7270 = 0.
2, 2908
Let 2*g**5/11 - 20*g**4/11 - 76*g**3/11 + 432*g**2/11 + 1674*g/11 + 108 = 0. What is g?
-3, -1, 6, 11
Factor a**4/3 + 5206*a**3/3 - 401700*a**2 + 30408750*a - 763734375.
(a - 75)**3*(a + 5431)/3
Factor -t**3/4 + 115*t**2/2 + 463*t/4 + 58.
-(t - 232)*(t + 1)**2/4
Solve -5*q**5 + 162*q**4 - 1266*q**3 + 896*q**2 + 11319*q + 6174 = 0 for q.
-2, -3/5, 7, 21
Find c, given that 2*c**3/9 - 54782*c**2/9 + 374886800*c/9 + 375380000 = 0.
-9, 13700
Let z**2/2 + 99904*z + 4990404608 = 0. Calculate z.
-99904
Factor v**3 + 1751*v**2 + 769120*v + 2291628.
(v + 3)*(v + 874)**2
Factor 5*t**2 - 114940*t + 660560180.
5*(t - 11494)**2
Factor -4*v**3 + 297080*v**2 - 891204*v.
-4*v*(v - 74267)*(v - 3)
Solve 13*n**4/5 + 107*n**3/5 + 23*n**2 + 21*n/5 = 0 for n.
-7, -1, -3/13, 0
What is p in -6*p**3 - 428*p**2 - 954*p + 828 = 0?
-69, -3, 2/3
Solve -r**2 + 15373*r/2 + 7687/2 = 0.
-1/2, 7687
Solve 5*q**2 - 1111875*q + 1111870 = 0.
1, 222374
Factor p**4/2 - 105*p**3/2 + 1127*p**2/2 - 1023*p/2.
p*(p - 93)*(p - 11)*(p - 1)/2
Factor -2*l**4 + 122*l**3 - 872*l**2 + 1272*l.
-2*l*(l - 53)*(l - 6)*(l - 2)
Factor q**3 + 116337*q**2 + 3383516223*q - 3383632561.
(q - 1)*(q + 58169)**2
Solve -2*h**3/9 + 1208*h**2/3 + 79360*h/3 + 3842048/9 = 0.
-32, 1876
Find q such that -4*q**2/5 + 11724*q + 117256/5 = 0.
-2, 14657
Let w**2 - 1075*w + 2146 = 0. Calculate w.
2, 1073
Factor -2*q**2 - 4058352*q - 2058777619488.
-2*(q + 1014588)**2
Find m, given that -4*m**2 + 38116*m + 190680 = 0.
-5, 9534
Factor -w**3/8 - 277*w**2/8 + 7429*w/4.
-w*(w - 46)*(w + 323)/8
What is j in 8788*j**5 + 1412840*j**4 + 2468232*j**3 - 619792*j**2 + 48964*j - 1272 = 0?
-159, -2, 1/13
Let -4*f**5 - 40*f**4 + 292*f**3 + 1864*f**2 - 6528*f - 8064 = 0. Calculate f.
-12, -7, -1, 4, 6
Let -5*h**2/3 - 155045*h/3 - 51680 = 0. What is h?
-31008, -1
Solve -2*w**4/5 + 398*w**3/5 + 10312*w**2/5 - 4440*w = 0 for w.
-25, 0, 2, 222
Factor -4*z**2 - 29572*z + 29576.
-4*(z - 1)*(z + 7394)
Determine q, given that 2*q**5 - 124*q**4 - 11414*q**3 + 23656*q**2 + 34944*q = 0.
-52, -1, 0, 3, 112
Suppose 5*c**4/2 + 425*c**3 + 16740*c**2 - 112640*c + 154880 = 0. What is c?
-88, 2, 4
Find z, given that -z**4/2 + 355*z**3/2 + 6533*z**2 + 32320*z - 466800 = 0.
-20, 6, 389
Suppose 2*u**2/11 + 1406*u/11 - 2820/11 = 0. What is u?
-705, 2
Factor -c**2/4 - 23501*c/2 - 552297001/4.
-(c + 23501)**2/4
Let -5*f**2 + 14242590*f - 10142568495405 = 0. What is f?
1424259
Suppose 3*h**3/4 + 1521*h**2/4 - 3831*h/2 + 2304 = 0. What is h?
-512, 2, 3
Find b, given that 4*b**3 + 10024*b**2 + 6280036*b = 0.
-1253, 0
Factor 5*j**2 + 82175*j + 410750.
5*(j + 5)*(j + 16430)
Factor -4*b**2 - 476*b - 13320.
-4*(b + 45)*(b + 74)
Let 2*p**3/19 - 1612*p**2/19 - 170*p - 1616/19 = 0. What is p?
-1, 808
Solve 4*a**4 + 203408*a**3 + 3447833400*a**2 + 19479109296592*a - 19482557333404 = 0.
-16951, 1
Suppose w**2 + 5532*w + 5531 = 0. What is w?
-5531, -1
Factor -g**4/3 - 264*g**3 + 799*g**2/3 + 1586*g.
-g*(g - 3)*(g + 2)*(g + 793)/3
Factor -2*z**3 - 1688*z**2 - 13408*z - 26752.
-2*(z + 4)**2*(z + 836)
Solve 2*s**4/7 - 412*s**3/7 + 14216*s**2/7 + 780156*s/7 - 793962/7 = 0.
-29, 1, 117
Factor 2*k**2/3 - 4*k/3 - 1290.
2*(k - 45)*(k + 43)/3
Factor 2*j**3/5 - 52976*j**2/5 + 31782*j.
2*j*(j - 26485)*(j - 3)/5
Let -2*u**5 + 42*u**4/5 + 1642*u**3/5 - 1418*u**2 + 8112*u/5 - 1352/5 = 0. Calculate u.
-13, 1/5, 2, 13
Let -2*f**2/11 - 2256*f/11 - 15694/11 = 0. Calculate f.
-1121, -7
Factor -2*m**2/11 + 2440*m/11 + 24600/11.
-2*(m - 1230)*(m + 10)/11
Find a, given that a**2/4 - 31391*a/4 - 94191/2 = 0.
-6, 31397
Find r such that -82*r**2/5 + 358*r/5 + 52 = 0.
-26/41, 5
Let 3*t**4/2 - 33*t**3/2 - 201*t**2/2 + 825*t/2 + 1575 = 0. Calculate t.
-5, -3, 5, 14
Solve -155002500*v**2/7 - 796800*v/7 - 1024/7 = 0 for v.
-16/6225
Let 2*u**3/5 - 34712*u**2/5 + 150650074*u/5 - 301161316/5 = 0. Calculate u.
2, 8677
Factor -4*i**2 + 92*i + 3440.
-4*(i - 43)*(i + 20)
Solve -5*k**2 - 16770*k - 333400 = 0 for k.
-3334, -20
Find c such that -44*c**2 + 3172*c - 3408 = 0.
12/11, 71
Suppose 4*d**4 + 3696*d**3 + 3572*d**2 - 110760*d = 0. Calculate d.
-923, -6, 0, 5
Find k such that 47526*k**4/7 - 84995*k**3/7 + 35713*k**2/7 + 248*k + 20/7 = 0.
-2/89, 5/6, 1
Solve z**5 - 248*z**4 - 753*z**3 - 4*z**2 + 1004*z = 0 for z.
-2, 0, 1, 251
Factor 2*n**2 + 8090*n + 32328.
2*(n + 4)*(n + 4041)
Let 5*m**5 + 130*m**4 - 3285*m**3 + 3150*m**2 = 0. Calculate m.
-42, 0, 1, 15
Solve 3*a**2 + 26460*a - 52932 = 0 for a.
-8822, 2
Determine i, given that -5*i**5/4 - 15*i**4/2 + 1705*i**3/4 + 945*i**2/2 - 4250*i + 3360 = 0.
-21, -4, 1, 2, 16
Let 3*w**3/7 + 3066*w**2 = 0. What is w?
-7154, 0
Let -2*j**2/5 + 14*j/5 + 288/5 = 0. Calculate j.
-9, 16
Solve -5*i**5 + 44920*i**4 + 89875*i**3 - 134750*i**2 - 359420*i - 179720 = 0.
-2, -1, 2, 8986
Determine f, given that -5*f**3 + 7760*f**2 - 30660*f - 464400 = 0.
-6, 10, 1548
Let -4*j**4 - 11864*j**3/7 + 51244*j**2/7 - 49624*j/7 + 10272/7 = 0. Calculate j.
-428, 2/7, 1, 3
Find c, given that -3*c**4/8 + 5517*c**3/8 - 636153*c**2/2 + 1857573*c/2 + 8848602 = 0.
-4, 7, 918
Determine i so that -3*i**4 + 1167*i**3 + 197190*i**2 + 6856032*i - 14510112 = 0.
-68, 2, 523
Suppose -4*m**2/3 - 1012864*m/3 - 64118342656/3 = 0. Calculate m.
-126608
Factor -v**2/6 - 19997*v/6.
-v*(v + 19997)/6
Let 20*o**5 + 808*o**4 - 4012*o**3 + 5712*o**2 - 2160*o = 0. Calculate o.
-45, 0, 3/5, 2
What is c in 2*c**3 - 710*c**2 + 1412*c = 0?
0, 2, 353
Solve 3*i**5 - 411*i**4 + 15804*i**3 - 118272*i**2 + 245760*i = 0 for i.
0, 4, 5, 64
Factor j**3/6 + 30*j**2 - 1111*j/6 + 155.
(j - 5)*(j