8 = 0. Calculate u.
138, 833
Factor 2*k**2 - 8000*k + 15992.
2*(k - 3998)*(k - 2)
Suppose 4*y**4 + 42396*y**3 - 1401972*y**2 + 15432340*y - 56604768 = 0. Calculate y.
-10632, 11
Factor 3*u**2 - 1077246*u + 96704912043.
3*(u - 179541)**2
Factor 4*n**2 - 7024*n + 3083536.
4*(n - 878)**2
Let -4*p**5/9 - 252*p**4 - 15728*p**3/9 - 26864*p**2/9 + 3008*p/3 + 35840/9 = 0. Calculate p.
-560, -4, -2, 1
Determine p, given that 50*p**4 + 14690*p**3 - 1711772*p**2 - 1376456*p - 275760 = 0.
-383, -2/5, 90
Factor -2*d**3/7 - 86*d**2/7 - 760*d/7 - 256.
-2*(d + 4)*(d + 7)*(d + 32)/7
Determine z so that -2*z**3 - 1332078*z**2 - 221803308720*z + 221804640800 = 0.
-333020, 1
Find o, given that o**2 - 10405*o = 0.
0, 10405
Determine y so that -y**3/4 + 3*y**2/2 + 99*y/4 - 26 = 0.
-8, 1, 13
Let -3*d**4/7 - 10086*d**3/7 + 40407*d**2/7 + 50490*d/7 = 0. Calculate d.
-3366, -1, 0, 5
Factor -2*o**3/3 + 39160*o**2/3 - 156608*o/3.
-2*o*(o - 19576)*(o - 4)/3
Determine f so that f**3/2 + 29*f**2/2 + 55*f - 484 = 0.
-22, -11, 4
Factor 101*i**2/5 + 728*i + 144/5.
(i + 36)*(101*i + 4)/5
Let 2*q**3/5 + 128*q**2/5 - 62886*q/5 + 125244/5 = 0. What is q?
-213, 2, 147
Solve 3*f**2 - 318420*f - 636852 = 0.
-2, 106142
Let z**3/4 - 373*z**2/4 + 1081*z/2 + 3670 = 0. Calculate z.
-4, 10, 367
Let 5*i**5 - 105*i**4 - 365*i**3 + 3105*i**2 + 540*i - 12420 = 0. Calculate i.
-6, -2, 3, 23
Determine p, given that -60*p**3/7 + 604*p**2/7 + 1460*p - 684/7 = 0.
-9, 1/15, 19
Find u, given that -5*u**5 + 205*u**4 + 6015*u**3 - 19225*u**2 + 19610*u - 6600 = 0.
-22, 1, 60
Let -2*n**4/9 + 38*n**3/9 + 94*n**2/3 + 442*n/9 + 200/9 = 0. Calculate n.
-4, -1, 25
Solve 5*l**5 - 1185*l**4 - 4970*l**3 + 35650*l**2 + 121125*l - 150625 = 0.
-5, 1, 5, 241
Determine z, given that -2*z**2/5 + 1054*z/5 - 2068 = 0.
10, 517
What is a in -3*a**2 - 29691*a - 622188 = 0?
-9876, -21
Factor -2*w**4 - 1107980*w**3 - 153451352066*w**2 + 306906028080*w - 153453568032.
-2*(w - 1)**2*(w + 276996)**2
Determine m so that -72*m**3 + 37812*m**2 - 88081*m/2 + 12838 = 0.
7/12, 524
Let f**4/3 + 1156*f**3/3 + 340526*f**2/3 + 29715476*f/3 - 10019053 = 0. What is f?
-759, -199, 1
Factor n**4/6 - 96665*n**3/3 + 193328*n**2/3.
n**2*(n - 193328)*(n - 2)/6
What is x in -2*x**3/9 + 287197*x**2/9 + 143600*x/9 - 143599/9 = 0?
-1, 1/2, 143599
Find k, given that -5*k**4 + 365*k**3 + 750*k**2 = 0.
-2, 0, 75
Solve 14*z**4 + 1276624*z**3/9 - 9023662*z**2/9 + 486728*z/9 + 567784/9 = 0.
-10139, -2/9, 2/7, 7
Factor 2*u**4 - 4*u**3 - 2400*u**2 + 32004*u + 34398.
2*(u - 21)**2*(u + 1)*(u + 39)
Factor b**4 - 47977*b**3 + 95951*b**2 - 47975*b.
b*(b - 47975)*(b - 1)**2
Suppose -2*q**2 + 1020*q + 2048 = 0. What is q?
-2, 512
What is x in x**3/6 - 2389*x**2/6 + 2781*x - 4764 = 0?
3, 4, 2382
Solve 5*n**2/3 - 51755*n/3 + 568700/3 = 0 for n.
11, 10340
Let -d**3/4 - 285*d**2/4 - 1391*d - 1320 = 0. What is d?
-264, -20, -1
Factor 3*b**3 + 30228*b**2 + 76144332*b.
3*b*(b + 5038)**2
Solve 2*q**3 + 346*q**2 - 2508*q + 2160 = 0.
-180, 1, 6
Find n, given that -2*n**3/7 + 282*n**2/7 - 558*n/7 + 278/7 = 0.
1, 139
Factor h**2/5 + 21912*h/5 - 57005.
(h - 13)*(h + 21925)/5
Factor -3*h**2 - 16338*h + 327960.
-3*(h - 20)*(h + 5466)
What is n in 2*n**5 + 90*n**4 + 252*n**3 - 8*n**2 - 336*n = 0?
-42, -2, 0, 1
Factor 39*j**3 + 4923*j**2 + 1134*j.
3*j*(j + 126)*(13*j + 3)
Let 4*f**5 - 124*f**4 + 728*f**3 + 6400*f**2 - 43008*f = 0. Calculate f.
-7, 0, 6, 16
Solve 30*w**2 + 1195*w/2 - 50 = 0.
-20, 1/12
Factor -4*k**3 - 38280*k**2 - 458928*k - 1376352.
-4*(k + 6)**2*(k + 9558)
Determine h so that -h**4/4 + 197*h**3/2 - 39573*h**2/4 + 36855*h + 114075 = 0.
-2, 6, 195
Solve 4*w**5/5 - 28*w**4/5 - 20*w**3 + 188*w**2 - 1824*w/5 + 1008/5 = 0.
-6, 1, 2, 3, 7
Factor 4*n**3 + 828*n**2 - 88068*n - 19352764.
4*(n - 151)*(n + 179)**2
Factor -k**2 - 566*k + 45936.
-(k - 72)*(k + 638)
Determine k so that -3*k**3/2 - 2031*k**2/2 - 8028*k = 0.
-669, -8, 0
Find c such that -3*c**3/7 - 21459*c**2/7 - 128673*c/7 - 27567 = 0.
-7147, -3
Let -2*l**3/5 - 976*l**2/5 + 4918*l/5 - 5916/5 = 0. Calculate l.
-493, 2, 3
Find q such that -3*q**5 - 837*q**4 + 14871*q**3 - 66303*q**2 + 87912*q = 0.
-296, 0, 3, 11
Factor 3*r**3 - 65799*r**2 + 360166464*r + 6866936832.
3*(r - 10976)**2*(r + 19)
Factor -4*s**2/9 + 4412*s/3 - 26456/9.
-4*(s - 3307)*(s - 2)/9
Factor 3*r**4 + 96*r**3 - 12066*r**2 - 74664*r - 113049.
3*(r - 53)*(r + 3)**2*(r + 79)
Factor -961*l**3/6 - 144367*l**2/6 + 18700*l - 3624.
-(l + 151)*(31*l - 12)**2/6
Factor -p**2/7 + 568*p/7 + 124553/7.
-(p - 737)*(p + 169)/7
Find p such that -5*p**5/4 + 43*p**4/4 + 103*p**3/4 - 1091*p**2/4 + 275*p/2 + 100 = 0.
-5, -2/5, 1, 5, 8
Factor m**3/6 - 15089*m**2/6 + 28463512*m/3 - 28455968/3.
(m - 7544)**2*(m - 1)/6
Solve -75*u**4 - 11945*u**3 + 20895*u**2 - 5655*u - 3220 = 0.
-161, -4/15, 1
Find l such that -2*l**2 - 642*l - 9760 = 0.
-305, -16
Factor m**5/4 + 431*m**4 + 737845*m**3/4 - 2244675*m**2/2.
m**2*(m - 6)*(m + 865)**2/4
Factor 4*h**2 + 16472*h - 16476.
4*(h - 1)*(h + 4119)
Suppose -w**5/4 - 17*w**4 - 1065*w**3/4 + 567*w**2/2 = 0. What is w?
-42, -27, 0, 1
Suppose 4*h**4 - 264*h**3 + 3812*h**2 - 4848*h - 56304 = 0. What is h?
-3, 6, 17, 46
Factor -4*c**3 + 252*c**2 - 2688*c + 4400.
-4*(c - 50)*(c - 11)*(c - 2)
Solve 6835*u**3/2 + 16319*u**2/3 + 12031*u/6 - 17 = 0 for u.
-1, -3/5, 34/4101
What is h in -h**5/2 + 333*h**4/2 - 3897*h**3/2 + 14499*h**2/2 - 8667*h = 0?
0, 3, 6, 321
Factor -2*h**3/7 + 1038*h**2/7 - 4794*h + 280330/7.
-2*(h - 485)*(h - 17)**2/7
Factor -1380*b**2 - 1389657*b + 3021.
-3*(b + 1007)*(460*b - 1)
Let -j**4 - 450*j**3 + 1356*j**2 - 1358*j + 453 = 0. What is j?
-453, 1
Let 2*h**2/5 + 2220824*h/5 + 616507404872/5 = 0. Calculate h.
-555206
Suppose -3*d**4 - 5922*d**3 + 77388*d**2 - 208782*d - 292089 = 0. Calculate d.
-1987, -1, 7
Determine z, given that -17*z**3/2 - 1249*z**2 + 147*z/2 = 0.
-147, 0, 1/17
Factor -3*l**2 + 10839*l - 43308.
-3*(l - 3609)*(l - 4)
Factor -2*p**2/19 - 5630*p/19 - 953508/19.
-2*(p + 181)*(p + 2634)/19
Let 5*k**2 + 10060*k + 297300 = 0. What is k?
-1982, -30
Factor -4*k**2/5 - 64136*k/5 - 257089156/5.
-4*(k + 8017)**2/5
Find a, given that -1110*a**4 + 32572*a**3/11 - 12242*a**2/11 - 8128*a/11 + 8/11 = 0.
-1/3, 2/2035, 1, 2
Solve 7*i**3 + 4451*i**2/3 - 212*i/3 = 0 for i.
-212, 0, 1/21
Find p, given that -p**5/6 - 40*p**4/3 - 76*p**3/3 + 160*p**2/3 + 104*p = 0.
-78, -2, 0, 2
What is w in -3*w**2 - 10125*w + 10128 = 0?
-3376, 1
Determine b so that -3*b**4 - 651*b**3 - 36453*b**2 - 151461*b + 800280 = 0.
-117, -95, -8, 3
Factor l**5/2 - 294*l**4 - 885*l**3 - 886*l**2 - 591*l/2.
l*(l - 591)*(l + 1)**3/2
Factor 4*b**2 - 5050912*b + 1594482001984.
4*(b - 631364)**2
Factor -2*k**5 - 139490*k**4 - 3242817018*k**3 - 25126426822486*k**2 + 50265826028996*k.
-2*k*(k - 2)*(k + 23249)**3
Let 2*l**4/19 - 70*l**3/19 + 424*l**2/19 + 280*l/19 - 1728/19 = 0. Calculate l.
-2, 2, 8, 27
Suppose 4*d**5 + 444*d**4 + 17928*d**3 + 311040*d**2 + 1959552*d = 0. Calculate d.
-36, -21, -18, 0
Solve -46*w**5 + 238*w**4 + 696*w**3 - 3256*w**2 + 2752*w - 384 = 0 for w.
-4, 4/23, 1, 2, 6
Solve 2*g**2 + 220844*g + 6096509042 = 0.
-55211
Factor -5*z**3/2 - 15315*z**2/2 + 92025*z/2 - 138105/2.
-5*(z - 3)**2*(z + 3069)/2
Factor l**4 + 13509*l**3 + 40521*l**2 + 40519*l + 13506.
(l + 1)**3*(l + 13506)
Factor 16*h**2/7 + 28276*h + 444780.
4*(h + 12355)*(4*h + 63)/7
Factor l**3/5 + 838*l**2/5 + 131776*l/5 - 3875328.
(l - 90)*(l + 464)**2/5
Suppose 3*o**3 - 198*o**2 - 1728*o + 207360 = 0. What is o?
-30, 48
Let -q**4/5 + 27*q**3/5 + 351*q**2/5 + 733*q/5 - 222 = 0. Calculate q.
-6, -5, 1, 37
Suppose 4*s**2 - 888*s - 53116 = 0. What is s?
-49, 271
Factor 2*a**3 + 1362*a**2 + 33100*a + 196800.
2*(a + 10)*(a + 15)*(a + 656)
Let -3*o**5/5 - 3*o**4/5 + 78*o**3/5 + 24*o**2/5 - 96*o + 384/5 = 0. What is o?
-4, 1, 2, 4
Solve -y**4 + 4596*y**3 - 5285398*y**2 + 10557012*y - 5276209 = 0 for y.
1, 2297
Solve 5*m**5 + 7865*m**4 + 3096835*m**3 + 3081115*m**2 - 3096840*m - 3088980 = 0 for m.
-786, -1, 1
Suppose z**3/7 - 29*z**2/7 - 1424*z/7 + 42636/7 = 0. What is z?
-38, 33, 34
Solve 5*w**3 - 1205*w**2 - 3660*w = 0 for w.
-3, 0, 244
Find k such that -k**4 - 17*k**3 + 2499*k**2 - 39307*k + 68770 = 0.
-65, 2, 23
Solve 2*p**3/3 + 136*p**2 - 40126*p + 119968/3 = 0 for p.
-36