-2/7, 25
Determine z so that -5*z**4 + 675*z**3 - 28870*z**2 + 362340*z + 845640 = 0.
-2, 29, 54
Find t, given that 3*t**2 - 1742286*t + 252963375483 = 0.
290381
Determine z, given that -2*z**3/9 + 68*z**2 + 5024*z/9 = 0.
-8, 0, 314
Factor -4*m**4 - 5176*m**3 - 1730404*m**2 - 36211296*m - 195776064.
-4*(m + 11)**2*(m + 636)**2
Factor -3*k**4 - 234*k**3 - 183*k**2 + 3636*k - 4620.
-3*(k - 2)**2*(k + 5)*(k + 77)
Solve -3*u**2 - 2970*u + 33033 = 0.
-1001, 11
Solve -4*v**2/5 + 13832*v/5 - 176436 = 0.
65, 3393
Determine n, given that 3*n**4 + 885*n**3 + 1758*n**2 = 0.
-293, -2, 0
Find q, given that -3*q**2 - 332661*q/2 - 332655/2 = 0.
-110885/2, -1
Factor -3*u**5 - 126*u**4 + 405*u**3.
-3*u**3*(u - 3)*(u + 45)
Let 5*c**3 - 12225*c**2 + 7032915*c + 545116905 = 0. Calculate c.
-69, 1257
Suppose 5*v**3 + 10085*v**2 - 30290*v + 20200 = 0. What is v?
-2020, 1, 2
Factor 17*m**3/2 + m**2/2 - 121*m/2 - 105/2.
(m - 3)*(m + 1)*(17*m + 35)/2
Determine y, given that 2*y**4/9 - 19106*y**3/9 + 15213152*y**2/3 - 5068928*y = 0.
0, 1, 4776
Find u, given that -u**5 + 117*u**4 - 219*u**3 - 1277*u**2 + 1344*u + 4140 = 0.
-2, 3, 115
Let 6*h**3/13 - 268*h**2/13 + 1366*h/13 - 120 = 0. What is h?
5/3, 4, 39
Solve 3*r**3/5 + 370329*r**2 + 285716692989*r/5 + 285714841347/5 = 0.
-308607, -1
Factor 4*d**2 - 82828*d + 496824.
4*(d - 20701)*(d - 6)
Factor g**2/7 + 1115*g/7 + 3336/7.
(g + 3)*(g + 1112)/7
Factor 5*x**4 - 1350*x**3 + 111185*x**2 - 2708100*x + 20120180.
5*(x - 118)**2*(x - 17)**2
Factor 5*j**4 - 3200*j**3 + 518315*j**2 - 2006580*j - 2528100.
5*(j - 318)**2*(j - 5)*(j + 1)
Find j such that 3*j**2 + 108*j + 960 = 0.
-20, -16
Factor -11*k**2 + 230*k + 3904.
-(k - 32)*(11*k + 122)
Factor -l**2/4 - 25*l/4 + 225.
-(l - 20)*(l + 45)/4
Factor -4*b**4 - 60*b**3 + 148*b**2 + 204*b.
-4*b*(b - 3)*(b + 1)*(b + 17)
Let 395*k**3 + 92045*k**2 + 184820*k + 4620 = 0. What is k?
-231, -2, -2/79
Let -2*m**2/5 + 226682*m + 1133412/5 = 0. Calculate m.
-1, 566706
Determine a so that -147*a**4 - 224765*a**3 - 452143*a**2 - 230579*a - 3054 = 0.
-1527, -1, -2/147
Solve -2*u**2/7 - 77832*u/7 - 757227528/7 = 0 for u.
-19458
Solve -t**2/3 + 169*t + 2560/3 = 0 for t.
-5, 512
Solve -1928*d**3 + 818*d**2 - 84*d = 0 for d.
0, 42/241, 1/4
Let -6*x**5 + 487*x**4 - 11980*x**3 + 77875*x**2 + 73500*x = 0. Calculate x.
-5/6, 0, 12, 35
Factor 72*m**2/5 - 32399*m/5 - 90.
(m - 450)*(72*m + 1)/5
Factor 3*z**4/4 + 1569*z**3/4 - 66852*z**2 + 3374784*z - 55323648.
3*(z - 48)**3*(z + 667)/4
Factor q**4/8 - 8*q**3 - 3*q**2/8 + 95*q/4 + 16.
(q - 64)*(q - 2)*(q + 1)**2/8
Find z, given that 2*z**2 - 10514*z/11 - 956/11 = 0.
-1/11, 478
Factor -9*p**3 - 1227*p**2 + 2076*p + 828.
-3*(p - 2)*(p + 138)*(3*p + 1)
Find g, given that 3*g**4/4 + 30*g**3 - 1131*g**2/4 + 252*g = 0.
-48, 0, 1, 7
Solve 5*f**4 - 465*f**3 + 12535*f**2 - 129675*f + 441000 = 0.
7, 15, 56
Factor -3*u**3/4 - 909*u**2/4 - 63585*u/4 - 1293975/4.
-3*(u + 45)**2*(u + 213)/4
Factor -18*l**3/7 + 699222*l**2/7 + 233076*l/7.
-6*l*(l - 38846)*(3*l + 1)/7
Determine q so that -q**3/3 + 4*q**2/3 + 455*q = 0.
-35, 0, 39
Find d such that 7352*d**4 + 14706*d**3 - 51460*d**2 + 29394*d + 8 = 0.
-4, -1/3676, 1
Find o such that 2*o**2/7 + 3908*o/7 + 15600/7 = 0.
-1950, -4
Solve 20*y**4 + 955*y**3 + 12765*y**2 + 56025*y + 35235 = 0 for y.
-29, -9, -3/4
Factor 2*p**3 + 5416*p**2 + 3661210*p - 7344100.
2*(p - 2)*(p + 1355)**2
Solve -5*q**5 - 2860*q**4 - 233105*q**3 + 53351250*q**2 - 514584000*q + 1270080000 = 0.
-336, 5, 90
Solve 4*k**5/3 + 292*k**4 - 1828*k**3/3 - 13132*k**2/3 + 9408*k - 14144/3 = 0 for k.
-221, -4, 1, 4
Factor 2*v**4/5 + 6394*v**3/5 + 6798888*v**2/5 + 2388466656*v/5 - 17054610048/5.
2*(v - 7)*(v + 1068)**3/5
Suppose 5*m**4 + 3020*m**3 + 418340*m**2 - 11379360*m + 70989120 = 0. Calculate m.
-314, 12
Factor -354*i**2 - 2116*i + 48.
-2*(i + 6)*(177*i - 4)
Factor -3*l**2 - 390249*l/4 + 97563/4.
-3*(l + 32521)*(4*l - 1)/4
Suppose i**4 - 1474*i**3 - 35908*i**2 - 65912*i = 0. Calculate i.
-22, -2, 0, 1498
Let -c**3 + 77*c**2 - 736*c + 660 = 0. What is c?
1, 10, 66
Suppose 2*q**2 + 7146*q = 0. Calculate q.
-3573, 0
Suppose -4*m**5/3 - 38704*m**4/3 - 31221224*m**3 - 187211248*m**2/3 - 93586276*m/3 = 0. Calculate m.
-4837, -1, 0
Factor 3*a**3 + 9543*a**2/4 + 970317*a/2 + 17143839/4.
3*(a + 393)**2*(4*a + 37)/4
Find c such that 4*c**4 + 116*c**3 - 380*c**2 - 6900*c + 27000 = 0.
-30, -9, 5
Suppose 2*y**5/7 + 2080*y**4/7 + 530248*y**3/7 - 5514580*y**2/7 - 75750*y + 787500 = 0. Calculate y.
-525, -1, 1, 10
Factor -3*x**2/2 - 243*x/2 - 2352.
-3*(x + 32)*(x + 49)/2
Factor 5*z**4 + 490*z**3 + 8125*z**2 - 17740*z + 9120.
5*(z - 1)**2*(z + 24)*(z + 76)
Determine m, given that -m**3/6 - 1231*m**2/2 + 2*m/3 + 2462 = 0.
-3693, -2, 2
Factor k**2 + 1020*k + 87044.
(k + 94)*(k + 926)
Suppose -3*d**5 + 84*d**4 - 291*d**3 - 4002*d**2 - 9588*d - 6936 = 0. What is d?
-2, 17
Let -x**2 - 26718*x = 0. Calculate x.
-26718, 0
Let 13*v**4 - 437*v**3 - 12999*v**2 - 99911*v - 243530 = 0. What is v?
-7, 710/13
Factor -2*w**3 - 70636*w**2 - 141266*w - 70632.
-2*(w + 1)**2*(w + 35316)
Factor -2*q**2 + 20796*q + 20798.
-2*(q - 10399)*(q + 1)
Factor 3*k**3 - 683607*k**2 + 38943552672*k - 38942869068.
3*(k - 113934)**2*(k - 1)
Find k such that k**3 + 136*k**2 - 3229*k + 10676 = 0.
-157, 4, 17
Factor 2*b**2 - 7004*b - 21030.
2*(b - 3505)*(b + 3)
Determine u so that u**5/2 - 257*u**4/2 + 1761*u**3/2 - 2755*u**2/2 + 625*u = 0.
0, 1, 5, 250
Find g, given that 8*g**5 + 7204*g**4 - 39920*g**3 - 50560*g**2 + 159552*g + 86976 = 0.
-906, -2, -1/2, 2, 6
Determine j, given that 3*j**2/4 - 753*j/4 + 6201 = 0.
39, 212
What is p in 2*p**2/7 - 78*p + 5260/7 = 0?
10, 263
Suppose -2*z**3/7 - 990*z**2/7 - 6816*z/7 + 7808/7 = 0. Calculate z.
-488, -8, 1
Factor -211*r**4 - 27855*r**3/11 - 111444*r**2/11 - 148688*r/11 - 192/11.
-(r + 4)**3*(2321*r + 3)/11
Solve 4*c**3 + 1492*c**2 + 50256*c + 177408 = 0 for c.
-336, -33, -4
Let r**3/3 + 77*r**2/3 + 1955*r/3 + 16399/3 = 0. Calculate r.
-31, -23
What is m in -484*m**3 - 7436*m**2 - 38076*m - 64980 = 0?
-57/11, -5
Suppose 4*k**5 + 229748*k**4 + 459480*k**3 = 0. Calculate k.
-57435, -2, 0
Factor 5*s**3 - 10665*s**2 + 3385200*s - 292981780.
5*(s - 1769)*(s - 182)**2
Suppose 2*c**3 - 294*c**2 - 8508*c - 15824 = 0. What is c?
-23, -2, 172
Find w, given that 2*w**2/7 + 2118*w/7 + 25168 = 0.
-968, -91
Factor -t**2 - 343532*t - 29503558756.
-(t + 171766)**2
Determine q so that q**4/8 + 25*q**3/4 + 26*q**2 - 393*q/4 - 945/8 = 0.
-45, -7, -1, 3
Determine d so that 3102*d**3 - 18621*d**2 + 15564*d - 45 = 0.
3/1034, 1, 5
Find y such that -4*y**3 - 230248*y**2 - 3313153584*y + 6627228192 = 0.
-28782, 2
Solve -31*g**5/3 + 24295*g**4/3 + 2352*g**3 = 0 for g.
-9/31, 0, 784
Suppose 270*v**5/11 - 26718*v**4/11 + 698652*v**3/11 - 1835136*v**2/11 - 82944*v/11 = 0. Calculate v.
-2/45, 0, 3, 48
Factor -32*k**3/3 + 164528*k**2/3 + 82270*k/3 + 3428.
-2*(k - 5142)*(4*k + 1)**2/3
Factor 2*i**2 - 7810*i - 23448.
2*(i - 3908)*(i + 3)
Factor -3*j**2 + 1881*j - 168156.
-3*(j - 519)*(j - 108)
Factor s**5 - 7313*s**4 + 17765244*s**3 - 14185097584*s**2 - 366824545792*s + 790247476944.
(s - 2446)**3*(s - 2)*(s + 27)
Factor 39*b**2/7 - 50508*b/7 + 555.
3*(b - 1295)*(13*b - 1)/7
Find m, given that m**3/3 - 1702*m**2/3 + 18589*m/3 + 6764 = 0.
-1, 12, 1691
Factor a**2/2 + 4702*a - 444197/2.
(a - 47)*(a + 9451)/2
Suppose 2*s**3/15 - 3512*s**2/15 + 7018*s/15 - 3508/15 = 0. Calculate s.
1, 1754
Factor 9*g**3/5 + 3351*g**2/5 + 54752*g - 1462020.
(g - 21)*(3*g + 590)**2/5
Let -2*h**3/19 - 9860*h**2/19 - 12152450*h/19 = 0. What is h?
-2465, 0
Factor 2*w**2/7 + 5920416*w/7 + 4381415701632/7.
2*(w + 1480104)**2/7
Factor 2*f**2/7 + 594*f - 130820/7.
2*(f - 31)*(f + 2110)/7
Suppose -5*n**5 - 185*n**4 - 1590*n**3 + 1490*n**2 + 22715*n - 22425 = 0. What is n?
-23, -13, -5, 1, 3
Suppose -s**3 - 32*s**2 + 644*s = 0. Calculate s.
-46, 0, 14
Solve 2*x**3/3 + 3254*x**2 + 39016*x/3 = 0.
-4877, -4, 0
What is d in -2*d**2/5 + 3874*d/5 + 27216/5 = 0?
-7, 1944
Find g, given that g**3/5 + 458*g**2/5 - 68324*g/5 + 2237208/5 = 0.
-582, 62
Factor -s**4 + 646*s**3 - 12597*s**2 + 47960*s + 151492.
-(s - 626)*(s - 11)**2*(s + 2)
Find o such that -2*o**4 - 3585*o**3 - 8951*o**2 - 1788*o + 3580 = 0.
-1790, -2, -1, 1/2
Factor -3*a**