 500*t**5 + 9200*t**4 - 47640*t**3 - 1996064*t**2 - 13820156*t - 28235760 = 0. Calculate t.
-49/5, -4, 15
Solve 35*a**3 + 4635*a**2 + 1980*a = 0 for a.
-132, -3/7, 0
Factor f**3/4 + 3*f**2/2 - 60*f + 200.
(f - 10)*(f - 4)*(f + 20)/4
Determine p so that -p**3 + 4219*p**2 - 71504*p + 294140 = 0.
7, 10, 4202
Suppose 4*k**4 + 26712*k**3 + 44542228*k**2 - 178489584*k + 178596496 = 0. Calculate k.
-3341, 2
Suppose -15*z**5 - 291*z**4 - 1809*z**3 - 4353*z**2 - 3720*z - 900 = 0. Calculate z.
-10, -5, -3, -1, -2/5
Determine l so that 4*l**5 + 408*l**4 - 3084*l**3 - 3488*l**2 = 0.
-109, -1, 0, 8
Factor -2*t**2 - 110030*t - 660108.
-2*(t + 6)*(t + 55009)
Find o such that 2*o**5 - 1126*o**4 + 140248*o**3 + 141376*o**2 = 0.
-1, 0, 188, 376
Factor 3*u**4 + 407*u**3 + 13180*u**2 + 116732*u - 180048.
(u + 22)**2*(u + 93)*(3*u - 4)
Factor 4*v**4 + 3596*v**3 + 49756*v**2 + 173460*v.
4*v*(v + 7)**2*(v + 885)
Suppose -3*k**5 - 4941*k**4 + 4947*k**3 + 4941*k**2 - 4944*k = 0. Calculate k.
-1648, -1, 0, 1
Factor -124*o**2 + 752*o.
-4*o*(31*o - 188)
Suppose 3*t**2 - 138168*t + 1590866352 = 0. What is t?
23028
Factor -v**3/3 + 345*v**2 - 99144*v + 4960116.
-(v - 486)**2*(v - 63)/3
Factor k**3 + 332999*k**2 - 666001*k + 333001.
(k - 1)**2*(k + 333001)
Suppose 3*w**2 + 118338*w - 118341 = 0. What is w?
-39447, 1
Solve -243*a**4/2 + 42255*a**3 - 7422411*a**2/2 + 6497880*a - 2873184 = 0.
8/9, 173
Let -2*y**2/5 + 1096*y/5 - 149504/5 = 0. What is y?
256, 292
Factor -4*c**5/7 - 232*c**4/7 + 19344*c**3 + 2621528*c**2 + 92581580*c.
-4*c*(c - 215)*(c + 91)**3/7
Factor 531*u**5 + 2128*u**4 + 3202*u**3 + 2148*u**2 + 547*u + 4.
(u + 1)**4*(531*u + 4)
Factor g**2/8 - 567*g/8 - 1773.
(g - 591)*(g + 24)/8
Determine k so that -3*k**5/4 + 118*k**4 + 4271*k**3/4 + 1872*k**2 - 747*k = 0.
-6, -3, 0, 1/3, 166
Solve y**4/6 + 1711*y**3/6 + 11781*y**2 + 492058*y/3 + 2289868/3 = 0.
-1669, -14
What is n in n**2/2 + 273*n/2 + 7236 = 0?
-201, -72
Find m such that -2*m**2/11 + 4800*m/11 + 101682/11 = 0.
-21, 2421
Determine s so that 8*s**5/9 + 398*s**4/9 + 622*s**3 + 15202*s**2/9 - 8510*s/9 - 4232/3 = 0.
-23, -4, -3/4, 1
Solve -338*w**2/5 - 150124*w/5 - 16669538/5 = 0.
-2887/13
Determine s so that -72*s**3/23 - 4728*s**2/23 - 4270*s - 27048 = 0.
-161/6, -12
Suppose -5*w**4/4 + 38295*w**3/2 + 134115*w**2 - 651335*w/2 + 689625/4 = 0. What is w?
-9, 1, 15325
Determine r, given that 4*r**3/3 - 1660*r**2/3 + 38628*r + 120900 = 0.
-3, 93, 325
Find y such that -3*y**3 + 317742*y**2 + 317745*y = 0.
-1, 0, 105915
Determine i, given that -i**5/7 + 9*i**4/7 + 475*i**3/7 + 253*i**2 - 714*i + 392 = 0.
-14, -7, 1, 28
Factor 3*n**4 + 6402*n**3 - 3*n**2 - 6402*n.
3*n*(n - 1)*(n + 1)*(n + 2134)
Factor 2*l**2 - 334*l + 5880.
2*(l - 147)*(l - 20)
Factor 4*p**2 - 12728*p.
4*p*(p - 3182)
Factor k**4 + 1558*k**3 + 614545*k**2 + 5973732*k - 6589836.
(k - 1)*(k + 11)*(k + 774)**2
Factor -2*u**3/15 - 27824*u**2/5 - 250362*u/5.
-2*u*(u + 9)*(u + 41727)/15
Find n such that 3*n**2/4 + 135*n/2 + 492 = 0.
-82, -8
Factor k**2/2 - 211753*k + 44839333009/2.
(k - 211753)**2/2
Suppose 4*t**5 + 11768*t**4 + 8713940*t**3 + 86071792*t**2 + 77369616*t = 0. What is t?
-1466, -9, -1, 0
Factor p**2 + 18635*p - 55914.
(p - 3)*(p + 18638)
Factor -o**2 - 163198*o - 6658396801.
-(o + 81599)**2
Let -1318*a**4/5 + 1334*a**3 + 16734*a**2/5 + 8186*a/5 - 112 = 0. Calculate a.
-1, 40/659, 7
Determine m, given that -9*m**4 - 1275*m**3 - 15819*m**2 - 9561*m + 4992 = 0.
-128, -13, -1, 1/3
What is o in -10*o**4/7 - 18*o**3/7 + 502*o**2 - 10782*o/7 + 288 = 0?
-21, 1/5, 3, 16
Factor 5738*f**3/9 + 3806*f**2/3 + 1874*f/3 - 58/9.
2*(f + 1)**2*(2869*f - 29)/9
Suppose c**2 + 5999*c - 18006 = 0. Calculate c.
-6002, 3
Suppose 2*r**2/3 - 138*r - 416/3 = 0. What is r?
-1, 208
Solve 9*x**3 - 5088*x**2 + 21891*x - 6732 = 0.
1/3, 4, 561
Factor -2*k**2 - 12014*k.
-2*k*(k + 6007)
Solve -j**2 + 4494*j + 27000 = 0 for j.
-6, 4500
Factor -2168732307*g**2 + 161322*g - 3.
-3*(26887*g - 1)**2
Determine l, given that l**5/2 + 3909*l**4/2 + 3818111*l**3/2 - 3837661*l**2/2 - 7636230*l + 7644050 = 0.
-1955, -2, 1, 2
Factor -7*s**2 - 326498*s + 466440.
-(s + 46644)*(7*s - 10)
Find f, given that -2*f**4 + 68*f**3 - 634*f**2 + 832*f + 1536 = 0.
-1, 3, 16
Suppose -2*z**2 - 180*z - 2002 = 0. Calculate z.
-77, -13
Factor 4*y**2 - 17224*y.
4*y*(y - 4306)
Factor s**4 + 3788*s**3 + 3420654*s**2 - 315506308*s + 6937390681.
(s - 43)**2*(s + 1937)**2
What is r in 915*r**3 - 76854*r**2 + 221841*r + 1458 = 0?
-2/305, 3, 81
Factor 2*b**3/5 - 54*b**2/5 + 52*b/5.
2*b*(b - 26)*(b - 1)/5
Let 2*x**3 + 2106*x**2 - 56058*x + 53950 = 0. Calculate x.
-1079, 1, 25
Factor -2*d**2/5 - 74*d/5 + 328/5.
-2*(d - 4)*(d + 41)/5
Find m, given that 4*m**5/9 - 4*m**4 - 124*m**3/9 + 1684*m**2/9 - 1256*m/3 + 2240/9 = 0.
-7, 1, 2, 5, 8
Suppose -q**2/4 + 2146*q - 8583/4 = 0. What is q?
1, 8583
Suppose u**5/5 - 28*u**4 + 495*u**3 - 1800*u**2 = 0. What is u?
0, 5, 15, 120
Determine d, given that 3*d**2/2 - 19254*d + 61786086 = 0.
6418
Factor y**2 - 25227*y - 25228.
(y - 25228)*(y + 1)
Factor -k**3/9 - 2183*k**2/9.
-k**2*(k + 2183)/9
Factor 2*f**3 - 6092*f**2 - 91802*f - 85708.
2*(f - 3061)*(f + 1)*(f + 14)
Factor -2*l**3/19 + 2112*l**2/19 - 33408*l/19 + 133120/19.
-2*(l - 1040)*(l - 8)**2/19
Solve -5*l**2 + 515*l + 8850 = 0 for l.
-15, 118
Solve -2*u**2/11 + 422*u/11 - 76 = 0 for u.
2, 209
Factor -t**4 + 26*t**3 - 213*t**2 + 460*t + 700.
-(t - 10)**2*(t - 7)*(t + 1)
Factor -20*g**2 - 145952*g + 58384.
-4*(g + 7298)*(5*g - 2)
What is v in -3*v**3/5 + 37668*v**2/5 + 15069*v + 37674/5 = 0?
-1, 12558
Factor -t**3/3 - 1582*t**2 - 7897*t + 66374/3.
-(t - 2)*(t + 7)*(t + 4741)/3
Solve -13*l**3 - 1984*l**2 - 3929*l - 1958 = 0 for l.
-1958/13, -1
Find s, given that 261121*s**3 - 26889331*s**2 - 631560*s - 3708 = 0.
-6/511, 103
What is m in -86*m**3/11 - 13936*m**2/11 - 51354*m - 26244/11 = 0?
-81, -2/43
Find n, given that n**2/3 - 27317*n + 81950/3 = 0.
1, 81950
Factor i**4/6 + 129*i**3/2 - 1559*i**2/6 + 651*i/2 - 391/3.
(i - 2)*(i - 1)**2*(i + 391)/6
Factor o**2 + 1129*o + 42510.
(o + 39)*(o + 1090)
Factor 2*m**3/5 + 34302*m**2/5 + 6860*m.
2*m*(m + 1)*(m + 17150)/5
Determine l so that 2*l**4/13 - 300*l**3/13 - 3134*l**2/13 - 10488*l/13 - 11520/13 = 0.
-4, -3, 160
Factor 5*c**3 + 83047*c**2 + 116258*c + 33216.
(c + 1)*(c + 16608)*(5*c + 2)
Solve -2*m**5/9 + 30*m**4 - 3412*m**3/3 + 75236*m**2/9 - 13426*m + 6174 = 0.
1, 7, 63
Find x, given that 2*x**2/3 + 252050*x/3 - 252052/3 = 0.
-126026, 1
Suppose -2*z**4/5 - 1102*z**3/5 + 1116*z**2/5 + 6624*z/5 = 0. Calculate z.
-552, -2, 0, 3
Factor 4*m**4 - 16744*m**3 + 17505844*m**2 + 35061936*m + 17539344.
4*(m - 2094)**2*(m + 1)**2
Suppose 4*l**3 + 555052*l**2 + 1110088*l = 0. What is l?
-138761, -2, 0
Factor -2*n**2 + 8804*n - 9688802.
-2*(n - 2201)**2
Factor -2*w**3 - 768*w**2 - 7498*w - 6732.
-2*(w + 1)*(w + 9)*(w + 374)
Suppose -3*i**3 + 3393*i**2 - 60153*i + 56763 = 0. What is i?
1, 17, 1113
Factor 4*w**2 + 3184*w + 203280.
4*(w + 70)*(w + 726)
Factor 5*w**2/6 + 16985*w/2 + 25475/3.
5*(w + 1)*(w + 10190)/6
Solve -2*w**3/15 + 15868*w**2/15 + 2*w/15 - 15868/15 = 0.
-1, 1, 7934
Find p, given that -4*p**3/5 + 1528*p**2/5 - 171684*p/5 + 935712 = 0.
40, 171
Suppose -p**5 - 23*p**4 + 729*p**3 - 3029*p**2 - 5320*p + 7644 = 0. Calculate p.
-42, -2, 1, 7, 13
Let l**3/6 - 1127*l**2/6 - 2257*l/6 - 1129/6 = 0. Calculate l.
-1, 1129
Factor 3*c**2 - 189501*c + 378990.
3*(c - 63165)*(c - 2)
Suppose a**4 - 5973*a**3 + 12170514*a**2 - 8987160412*a + 1076626366536 = 0. Calculate a.
147, 1942
Find h, given that h**4/3 + 545*h**3/3 + 25202*h**2 + 122580*h + 145800 = 0.
-270, -3, -2
Solve -4*j**3 + 456*j**2 - 10980*j - 119072 = 0 for j.
-8, 61
Let -o**5 + 501*o**4 - 62499*o**3 - 63001*o**2 = 0. Calculate o.
-1, 0, 251
Factor 2*p**2/5 + 35988*p/5 + 161892018/5.
2*(p + 8997)**2/5
Let -2028*f**4 - 20124*f**3 + 1557*f**2 - 30*f = 0. Calculate f.
-10, 0, 1/26
Determine l so that -5*l**5/4 + 369*l**4/4 - 673*l**3/2 + 279*l**2 + 70*l = 0.
-1/5, 0, 2, 70
Suppose p**3/3 + 31*p**2/3 + 238*p/3 = 0. What is p?
-17, -14, 0
Factor 2*p**3 + 2816*p**2 + 1288490*p + 192846900.
2*(p + 395)**2*(p + 618)
Solve t**2/4 - 1657*t/4 - 8335/2 = 0.
-10, 1667
Solve 4*v**3 - 428*v**2 + 1664*v - 1648 = 0.
2, 103
Determine p so t