, -19/2, 1/3
Find a, given that -3*a**2 - 840*a - 21837 = 0.
-251, -29
Suppose 2*k**4/3 + 100*k**3 - 7958*k**2/3 = 0. Calculate k.
-173, 0, 23
Let -12*x**5 + 459*x**4 - 5238*x**3 + 16329*x**2 - 14130*x + 2592 = 0. Calculate x.
1/4, 1, 3, 16, 18
Determine q so that 1024*q**5 - 93696*q**4 + 137296*q**3 + 84804*q**2 + 14032*q + 720 = 0.
-1/4, -1/8, 2, 90
Factor 4*i**3 + 10156*i**2 + 81052*i + 151860.
4*(i + 3)*(i + 5)*(i + 2531)
Suppose 2*o**5 - 1140*o**4 + 156956*o**3 - 6488880*o**2 + 12511442*o - 6178380 = 0. Calculate o.
1, 89, 390
Factor k**2/7 - 117*k/7 - 304.
(k - 133)*(k + 16)/7
Let 43*s**2/3 - 902*s/3 - 7 = 0. Calculate s.
-1/43, 21
Determine h, given that 4*h**5/3 + 1240*h**4/3 + 48032*h**3 + 7439272*h**2/3 + 143967388*h/3 = 0.
-79, -73, 0
Factor c**3/2 - 11*c**2 - 289*c/2 + 155.
(c - 31)*(c - 1)*(c + 10)/2
Solve 4*c**4 + 127*c**3 + 753*c**2 + 1521*c + 891 = 0.
-99/4, -3, -1
Determine f so that f**4 + 18016*f**3 + 81162078*f**2 + 162270112*f + 81126049 = 0.
-9007, -1
Let 4*t**2/9 - 95336*t/9 + 568059556/9 = 0. Calculate t.
11917
Suppose 5*i**5/2 - 17*i**4/2 - 161*i**3 + 173*i**2 + 317*i/2 - 329/2 = 0. What is i?
-7, -1, 1, 47/5
Find y, given that -3*y**4 + 903*y**3 - 10512*y**2 + 31212*y = 0.
0, 6, 289
Solve 2*q**5/11 - 634*q**4/11 + 1258*q**3/11 + 634*q**2/11 - 1260*q/11 = 0 for q.
-1, 0, 1, 2, 315
Find k, given that -2*k**2/13 + 2966*k/13 + 12280 = 0.
-52, 1535
Factor -4*z**2 + 209108*z + 627360.
-4*(z - 52280)*(z + 3)
Factor -100*v**3 + 56112320*v**2 + 44889904*v + 8977984.
-4*(v - 561124)*(5*v + 2)**2
Factor y**3/6 + 5*y**2/2 - 59*y/2 + 161/6.
(y - 7)*(y - 1)*(y + 23)/6
Suppose -u**5 + 169*u**4 + 190*u**3 - 3400*u**2 = 0. What is u?
-5, 0, 4, 170
Factor 2*v**5/5 + 54*v**4/5 + 108*v**3 + 2376*v**2/5 + 3888*v/5.
2*v*(v + 6)**3*(v + 9)/5
Determine p so that -3*p**4/4 + 3*p**3 + 3*p**2/4 - 3*p = 0.
-1, 0, 1, 4
Let -2*o**3/3 + 220*o**2/3 - 218*o/3 = 0. Calculate o.
0, 1, 109
Solve 3*d**2 + 295617*d = 0.
-98539, 0
Factor -o**2 - 529*o + 206190.
-(o - 261)*(o + 790)
Factor -2*h**2/9 + 33578*h/3 + 100736/9.
-2*(h - 50368)*(h + 1)/9
Let 1947*k**2 + 9726*k - 45 = 0. Calculate k.
-5, 3/649
Let -245*o**5 + 7420*o**4 - 8545*o**3 - 17410*o**2 + 8340*o + 10440 = 0. What is o?
-6/7, 1, 2, 29
Find y such that -968*y**3/3 + 16192*y**2/3 + 1490*y + 102 = 0.
-3/22, 17
Factor -5*n**3 - 24890*n**2 + 2731860*n - 74153880.
-5*(n - 54)**2*(n + 5086)
Find t such that -54*t**5 + 468*t**4/7 + 132*t**3/7 - 160*t**2/7 - 58*t/7 - 4/7 = 0.
-1/3, -2/21, 1
Factor 3*o**3 + 24753*o**2.
3*o**2*(o + 8251)
Solve h**4/3 - 28*h**3/3 - 218*h**2 + 84*h + 1935 = 0 for h.
-15, -3, 3, 43
Determine q, given that -2*q**2 - 15244*q + 15246 = 0.
-7623, 1
Factor -k**3/4 - 8944*k**2 - 320016317*k/4 - 319944769/2.
-(k + 2)*(k + 17887)**2/4
Determine u, given that 3*u**5/5 + 96*u**4/5 + 321*u**3/5 - 528*u**2/5 - 3132*u/5 - 3024/5 = 0.
-28, -3, -2, 3
Let 4*z**3 - 7920*z**2 + 31632*z - 31616 = 0. Calculate z.
2, 1976
Factor -3*b**3 + 9267*b**2 - 7142520*b - 21511044.
-3*(b - 1546)**2*(b + 3)
Find d, given that 4*d**2/9 + 1204624*d/9 + 90694936336/9 = 0.
-150578
Factor -5*b**3 + 485*b**2 - 9110*b + 44400.
-5*(b - 74)*(b - 15)*(b - 8)
Determine i so that 504*i**5 + 24228*i**4 + 22384*i**3 - 144732*i**2 - 183840*i + 18800 = 0.
-47, -2, -5/3, 2/21, 5/2
Suppose 3*d**2/2 - 17577*d + 102983643/2 = 0. Calculate d.
5859
What is g in 5*g**2 + 225885*g - 903620 = 0?
-45181, 4
Factor 14*b**3 - 2824*b**2 + 2010*b.
2*b*(b - 201)*(7*b - 5)
Determine z, given that 6*z**2 - 108501*z + 54249 = 0.
1/2, 18083
Factor -f**3 - 11541*f**2 + 614430*f - 602888.
-(f - 52)*(f - 1)*(f + 11594)
Let b**5/4 + 171*b**4/4 + 1607*b**3/4 - 623*b**2/4 - 5586*b + 7889 = 0. Calculate b.
-161, -7, 2
Determine n, given that -n**5 + 41*n**4 - 512*n**3 + 1912*n**2 - 2736*n + 1296 = 0.
1, 2, 18
Suppose 2*a**2/7 + 351340*a/7 + 15429974450/7 = 0. What is a?
-87835
Determine k, given that -8*k**3 + 203279*k**2/6 - 198997*k/6 - 2117/3 = 0.
-1/48, 1, 4234
Factor -u**2 + 48190*u - 580569025.
-(u - 24095)**2
Solve -4*c**4 + 16*c**3 + 36*c**2 - 144*c = 0 for c.
-3, 0, 3, 4
Factor -3*z**3 - 21*z**2 + 1092*z + 2244.
-3*(z - 17)*(z + 2)*(z + 22)
Find r such that 5*r**4/2 + 1370*r**3 + 87855*r**2/2 + 122230*r + 79670 = 0.
-514, -31, -2, -1
Factor 2*y**4/23 + 9488*y**3/23 + 11262252*y**2/23 + 22496048*y/23 + 11243282/23.
2*(y + 1)**2*(y + 2371)**2/23
What is r in 2*r**5/9 + 4796*r**4/9 - 8006*r**3/3 + 28844*r**2/9 + 19208*r/9 - 4272 = 0?
-2403, -1, 2
Suppose -3*t**4 - 7818*t**3 - 232299*t**2 - 1183032*t - 1669248 = 0. What is t?
-2576, -24, -3
Determine k, given that -25*k**5/6 - 2480*k**4/3 - 1151*k**3 - 1084*k**2/3 - 197*k/6 = 0.
-197, -1, -1/5, 0
What is s in 4*s**5/5 + 88*s**4/5 - 848*s**3 - 4408*s**2/5 + 4236*s/5 + 864 = 0?
-45, -1, 1, 24
Solve g**4/2 + 10923*g**3/2 + 20009349*g**2 + 25034479650*g + 1633897403604 = 0 for g.
-3618, -69
Factor 26*z**2/15 + 386*z/15 + 24.
2*(z + 1)*(13*z + 180)/15
Determine i, given that -5*i**4 + 14885*i**3 - 11040875*i**2 - 55517385*i - 44461620 = 0.
-4, -1, 1491
Solve 9*u**4 + 21030*u**3 - 70197*u**2 + 7038*u + 42120 = 0.
-2340, -2/3, 1, 3
Determine u, given that -4*u**5/17 - 6078*u**4/17 + 82760*u**3/17 - 33780*u**2/17 - 4868*u + 39858/17 = 0.
-1533, -1, 1/2, 1, 13
Factor 13*d**2/8 - 1493*d/8 - 115/4.
(d - 115)*(13*d + 2)/8
Factor 2*f**3/5 - 54*f**2/5 + 232*f/5 - 264/5.
2*(f - 22)*(f - 3)*(f - 2)/5
Suppose -2*v**4/13 - 4*v**3/13 + 160*v**2/13 = 0. Calculate v.
-10, 0, 8
Factor -l**4 + 48*l**3 - 693*l**2 + 3146*l.
-l*(l - 26)*(l - 11)**2
Suppose 102*k**3/7 + 12588*k**2 - 10368*k/7 = 0. What is k?
-864, 0, 2/17
Factor 5*m**3 + 13280*m**2 - 13285*m.
5*m*(m - 1)*(m + 2657)
Factor 5*f**2 - 141930*f + 1007206245.
5*(f - 14193)**2
Find w, given that -w**4/3 - 217*w**3/3 - 10343*w**2/3 - 19187*w/3 + 9916 = 0.
-148, -67, -3, 1
Find k such that -891075*k**2 - 1589220*k - 708588 = 0.
-486/545
Factor -2*n**2/15 - 664*n/5 - 165336/5.
-2*(n + 498)**2/15
Determine h, given that 3*h**4/8 - 705*h**3/8 - 23151*h**2/8 + 48405*h/8 - 3069 = 0.
-31, 1, 264
Factor -5*y**3/6 - 54555*y**2/2 - 446300785*y/2 + 6698604025/6.
-5*(y - 5)*(y + 16369)**2/6
Factor z**2/5 + 163760*z + 33521672000.
(z + 409400)**2/5
Let -18*r**4 - 302*r**3 - 868*r**2 + 208*r = 0. Calculate r.
-13, -4, 0, 2/9
Factor 2*w**2/17 + 11822*w/17 - 47320/17.
2*(w - 4)*(w + 5915)/17
Factor -5*t**2 + 1443830*t - 104232253445.
-5*(t - 144383)**2
Factor -2*m**4/9 - 182*m**3/9 - 4838*m**2/9 - 3362*m.
-2*m*(m + 9)*(m + 41)**2/9
Determine h so that h**5/8 - 11*h**4/2 + 41*h**3 + 64*h**2 - 422*h - 680 = 0.
-2, 4, 10, 34
Find y such that -y**2 + 18409*y = 0.
0, 18409
Determine u so that 23*u**4 - 1593*u**3 + 6279*u**2 + 5945*u - 1950 = 0.
-1, 6/23, 5, 65
Factor -s**2/5 - 9986*s/5 - 39928/5.
-(s + 4)*(s + 9982)/5
Let 2*f**2/3 + 756*f - 11390/3 = 0. Calculate f.
-1139, 5
Solve 8*y**4 + 8428*y**3 + 4208*y**2 - 4212*y = 0.
-1053, -1, 0, 1/2
Factor m**3/5 - 3856*m**2/5 + 3717184*m/5.
m*(m - 1928)**2/5
Factor 2*r**3 - 1234*r**2 + 185952*r + 1362816.
2*(r - 312)**2*(r + 7)
Suppose -2*w**5/9 + 110*w**4 - 78544*w**3/9 - 10860592*w**2/9 - 82335968*w/3 - 236226848/9 = 0. Calculate w.
-38, -1, 286
Let 4*t**2 + 33880*t - 203424 = 0. What is t?
-8476, 6
Suppose 3*y**4 + 4545*y**3 + 31710*y**2 + 63360*y + 36192 = 0. Calculate y.
-1508, -4, -2, -1
Let m**5/10 - 2007*m**4/10 + 1999*m**3/5 + 12023*m**2/5 + 5613*m/2 + 2005/2 = 0. What is m?
-1, 5, 2005
Factor 23*x**2 - 241*x - 264.
(x + 1)*(23*x - 264)
Factor d**2 + 741*d - 120286.
(d - 137)*(d + 878)
Determine b, given that 28*b**5/5 + 66*b**4 - 12242*b**3/5 + 13752*b**2/5 + 16696*b/5 + 672 = 0.
-28, -1/2, -2/7, 2, 15
Factor -r**4/2 - 24*r**3 - 543*r**2/2 - 248*r.
-r*(r + 1)*(r + 16)*(r + 31)/2
Find h such that -3*h**4 - 1121*h**3 - 14171*h**2 - 37723*h + 53018 = 0.
-1082/3, -7, 1
Factor 2*n**2 - 104480*n + 1364508800.
2*(n - 26120)**2
Let 5*h**3 + 24220*h**2 + 96820*h + 96800 = 0. What is h?
-4840, -2
Determine p so that -3*p**2 + 31881*p = 0.
0, 10627
What is t in -t**5/3 - 173*t**4/3 - 9799*t**3/3 - 171275*t**2/3 + 585044*t/3 - 403796/3 = 0?
-59, -58, 1, 2
Factor -5*u**4 - 2880*u**3 - 571650*u**2 - 47952680*u - 1458790545.
-5*(u + 103)**3*(u + 267)
Suppose -s**5 + 513*s**4 + 2068*s**3 + 16*s**2 - 8256*s - 8272 = 0. Calculate s.
-2, 2