0*c.
-c*(c - 18)*(c + 1590)/3
Solve b**4/11 + 7*b**3/11 - b**2/11 - 7*b/11 = 0 for b.
-7, -1, 0, 1
Let -21*x**4 + 1065*x**3 - 71541*x**2/4 + 195405*x/2 + 29400 = 0. Calculate x.
-2/7, 16, 35/2
Find b, given that -4*b**2 - 56*b + 4704 = 0.
-42, 28
Determine d, given that -4*d**2 + 5196*d + 116248 = 0.
-22, 1321
Determine b so that -2*b**5/3 - 706*b**4/3 - 4532*b**3 - 92636*b**2/3 - 242914*b/3 - 54390 = 0.
-333, -7, -5, -1
Suppose -1372*u**4 - 4170096*u**3 - 1787016*u**2 - 255280*u - 12156 = 0. Calculate u.
-3039, -1/7
Find a, given that 28*a**5/3 - 1690*a**4/3 + 5408*a**3 - 31900*a**2/3 + 21748*a/3 - 1470 = 0.
5/14, 1, 9, 49
Let -9*f**3/5 - 1806*f**2/5 - 11619*f/5 + 4074/5 = 0. Calculate f.
-194, -7, 1/3
Factor 2*b**3/15 + 32*b**2/5 - 2858*b/15 + 184.
2*(b - 20)*(b - 1)*(b + 69)/15
Determine c, given that -18*c**4/5 + 147*c**3/5 + 1287*c**2/5 + 2472*c/5 + 252 = 0.
-3, -2, -5/6, 14
Suppose -3*i**3 - 12192*i**2 - 12183*i + 24378 = 0. What is i?
-4063, -2, 1
Factor -q**3/5 - 25908*q**2/5 - 25907*q/5.
-q*(q + 1)*(q + 25907)/5
Let -4*k**2/3 + 98836*k/3 - 790432/3 = 0. Calculate k.
8, 24701
Factor 2*z**3/21 + 778*z**2/21 + 776*z/21.
2*z*(z + 1)*(z + 388)/21
Determine l, given that 28*l**2 + 1516*l + 4296 = 0.
-358/7, -3
Factor -3*b**3 + 540*b**2 + 177453*b - 177990.
-3*(b - 349)*(b - 1)*(b + 170)
Let 3*u**3 - 1164*u**2 + 22380*u - 110400 = 0. What is u?
10, 368
Suppose 35*a**5 - 760*a**4 + 2680*a**3 + 4270*a**2 - 2715*a - 3510 = 0. What is a?
-1, 1, 6, 117/7
Determine k, given that -3*k**2 + 2523*k - 192780 = 0.
85, 756
Solve -f**3/5 + 11594*f**2/5 + 23191*f/5 + 11596/5 = 0.
-1, 11596
Let -2*x**5/9 + 20542*x**4/9 - 52674772*x**3/9 - 369504388*x**2/9 - 64544698*x - 29343690 = 0. Calculate x.
-5, -1, 5139
Factor -5*g**2 + 276900*g + 276905.
-5*(g - 55381)*(g + 1)
Factor 2*q**2 + 4904*q + 29352.
2*(q + 6)*(q + 2446)
Factor 2*c**2/17 + 874*c/17 + 15084/17.
2*(c + 18)*(c + 419)/17
Suppose 2*z**2/13 - 1678*z/13 + 19796 = 0. What is z?
202, 637
Factor -5*n**2 - 8215*n + 8220.
-5*(n - 1)*(n + 1644)
Solve -7*f**2 - 111123*f + 31750 = 0 for f.
-15875, 2/7
Factor -2*i**2/13 - 73752*i/13 - 679919688/13.
-2*(i + 18438)**2/13
Let 3*u**2 + 6471*u = 0. What is u?
-2157, 0
Determine l so that l**5/2 + 11*l**4 + 97*l**3/2 - 132*l**2 - 378*l = 0.
-14, -9, -2, 0, 3
Suppose 5*v**4 + 13680*v**3 - 192585*v**2 - 233600*v + 412500 = 0. Calculate v.
-2750, -2, 1, 15
Factor -3*v**2 + 465*v + 11088.
-3*(v - 176)*(v + 21)
Find g such that 2*g**5/3 - 3608*g**4/3 + 8386*g**3 = 0.
0, 7, 1797
Factor -n**2/3 - 25946*n/3 - 43235.
-(n + 5)*(n + 25941)/3
Factor -m**3/9 - 91*m**2/9 + 172*m/3 + 384.
-(m - 9)*(m + 4)*(m + 96)/9
Suppose -10*k**5/13 - 864*k**4/13 + 1486*k**3/13 + 6932*k**2/13 + 6000*k/13 + 1408/13 = 0. Calculate k.
-88, -1, -2/5, 4
Let 4*f**4 - 7360*f**3 = 0. What is f?
0, 1840
Find h such that 2*h**4 + 1474*h**3 + 10218*h**2 - 1474*h - 10220 = 0.
-730, -7, -1, 1
Factor 3*s**3 - 132336*s**2 - 264681*s - 132342.
3*(s - 44114)*(s + 1)**2
Factor -3*v**4 + 12558*v**3 - 13129383*v**2 - 26296452*v - 13154508.
-3*(v - 2094)**2*(v + 1)**2
Determine s, given that 3*s**4 - 45*s**3 - 624*s**2 - 576*s = 0.
-8, -1, 0, 24
Find w such that 32*w**5 - 2192*w**4 + 44770*w**3 - 295576*w**2 + 139530*w - 17100 = 0.
1/4, 15, 38
Suppose z**5/5 - 379*z**4/5 - 2693*z**3/5 - 3501*z**2/5 + 10368*z/5 + 20844/5 = 0. What is z?
-3, 2, 386
Determine v so that 2*v**2/13 - 39330*v/13 - 39332/13 = 0.
-1, 19666
Factor -b**2/9 + 2214052*b/9 - 1225506564676/9.
-(b - 1107026)**2/9
Factor -4*u**2 - 29664*u - 266652.
-4*(u + 9)*(u + 7407)
Factor 2*p**2/7 + 41704*p/7 + 217402952/7.
2*(p + 10426)**2/7
Determine x so that 2*x**5 + 106*x**4 - 1124*x**3 - 184*x**2 + 19056*x - 17856 = 0.
-62, -4, 1, 6
Factor 4*s**3/3 - 1085*s**2/3 - 817*s/3 + 272/3.
(s - 272)*(s + 1)*(4*s - 1)/3
Find q such that 2*q**2/9 - 39080*q/9 - 39086/3 = 0.
-3, 19543
What is v in v**3/4 - 891*v**2/4 - 894*v - 895 = 0?
-2, 895
Factor -20*j**3/3 + 1208*j**2 + 3644*j/3.
-4*j*(j + 1)*(5*j - 911)/3
Determine t, given that 168131953125*t**3 - 504399526875*t**2 + 11002520*t - 60 = 0.
2/183375, 3
What is a in -2*a**5 + 78648*a**4 - 773188486*a**3 - 78648*a**2 + 773188488*a = 0?
-1, 0, 1, 19662
Suppose -2*l**5 + 482*l**4 - 29214*l**3 + 13086*l**2 + 920160*l + 1814400 = 0. Calculate l.
-3, 7, 120
What is n in -n**5/6 - 11*n**4/2 - 109*n**3/6 + 71*n**2/2 + 145*n/3 = 0?
-29, -5, -1, 0, 2
Suppose 6*r**4/11 + 504*r**3/11 - 3186*r**2/11 + 4860*r/11 = 0. Calculate r.
-90, 0, 3
Factor 2*h**2/3 + 46688*h/3 + 15562.
2*(h + 1)*(h + 23343)/3
Suppose 3*a**3/5 - 81066*a**2/5 + 405237*a/5 + 486306/5 = 0. Calculate a.
-1, 6, 27017
Let p**5/2 + 421*p**4 - 3379*p**3/2 + 2114*p**2 - 846*p = 0. What is p?
-846, 0, 1, 2
Solve -2*s**5 + 12*s**4 + 574*s**3 - 4152*s**2 - 10472*s = 0 for s.
-17, -2, 0, 11, 14
Determine i, given that -5*i**3 - 875*i**2 + 24580*i - 84000 = 0.
-200, 4, 21
Solve -2*x**2/7 + 22006*x/7 + 44020/7 = 0.
-2, 11005
Solve 2*f**3/3 + 3656*f**2/3 - 3658*f/3 = 0.
-1829, 0, 1
Factor 2*a**3/13 + 1108*a**2/13 - 1110*a/13.
2*a*(a - 1)*(a + 555)/13
Solve l**5/7 - 199*l**4/7 + 8968*l**3/7 + 92368*l**2/7 + 36608*l + 173056/7 = 0 for l.
-4, -1, 104
Determine m so that -m**5/4 + 57*m**4/4 - 180*m**3 + 656*m**2 = 0.
0, 8, 41
What is c in -c**2/8 - 1386*c + 16641/2 = 0?
-11094, 6
What is l in 2*l**4 - 650*l**3 + 51816*l**2 + 164000*l - 215168 = 0?
-4, 1, 164
What is z in 4*z**2 - 2624*z - 88064 = 0?
-32, 688
Suppose -4*t**4/5 + 56*t**3/5 - 188*t**2/5 - 152*t/5 + 192 = 0. What is t?
-2, 3, 5, 8
Factor -2*p**2 + 742*p - 66300.
-2*(p - 221)*(p - 150)
Determine l so that 257547*l**2/7 + 200412*l/7 + 38988/7 = 0.
-114/293
Factor 3*v**2 + 7035*v - 7038.
3*(v - 1)*(v + 2346)
Suppose -i**4/2 - 37*i**3/2 - 156*i**2 = 0. What is i?
-24, -13, 0
Solve -m**4/5 - 56*m**3/5 - 861*m**2/5 - 2106*m/5 = 0 for m.
-27, -26, -3, 0
Factor 1715*i**4 + 68883220*i**3 - 59043600*i**2 + 16869680*i - 1606640.
5*(i + 40166)*(7*i - 2)**3
Factor -3*o**3/2 - 66*o**2 - 375*o/2 - 123.
-3*(o + 1)*(o + 2)*(o + 41)/2
Factor c**3 - 4776*c**2 - 318483*c - 5272938.
(c - 4842)*(c + 33)**2
Factor -3*r**2 - 5397*r + 5400.
-3*(r - 1)*(r + 1800)
Suppose -p**2 - 165718*p + 497163 = 0. What is p?
-165721, 3
Solve -g**3/2 - 19*g**2/2 + 293*g + 1292 = 0 for g.
-34, -4, 19
Solve 34*t**2/7 + 968*t/7 + 1800/7 = 0 for t.
-450/17, -2
Solve l**4 - 207*l**3 + 12132*l**2 - 145152*l + 331776 = 0 for l.
3, 12, 96
Find c, given that -2*c**3/9 + 150*c**2 - 6712*c/9 + 2680/3 = 0.
2, 3, 670
What is r in r**3/8 - 2475*r**2/8 - 11171*r/4 - 4347 = 0?
-7, -2, 2484
Suppose -2*k**2/9 + 398*k/3 + 9680/9 = 0. What is k?
-8, 605
Factor -r**4/3 + 634*r**3/9 - 33284*r**2/9 - 22472*r/9.
-r*(r - 106)**2*(3*r + 2)/9
Factor 2*b**2/5 + 107866*b/3 - 119852/5.
2*(b + 89889)*(3*b - 2)/15
Find f such that 2*f**4 - 3686*f**3 - 242182*f**2 - 3654354*f + 8306892 = 0.
-33, 2, 1907
Factor d**2 + 173846*d + 7555607929.
(d + 86923)**2
Let 4*z**3/5 + 12*z**2 - 11232*z/5 - 295488/5 = 0. What is z?
-36, 57
Factor -3*v**2 - 100509*v.
-3*v*(v + 33503)
Suppose y**4/12 + y**3 - 187*y**2/3 + 336*y - 432 = 0. Calculate y.
-36, 2, 4, 18
Let t**3/4 - 24785*t**2/2 + 614296225*t/4 = 0. Calculate t.
0, 24785
Factor 5*n**2 + 1030*n + 18600.
5*(n + 20)*(n + 186)
Factor -h**2 + 66*h + 511.
-(h - 73)*(h + 7)
Find t such that -2*t**3 + 62*t**2 - 110*t - 174 = 0.
-1, 3, 29
What is n in n**5 - 896*n**4 - 3596*n**3 - 3600*n**2 = 0?
-2, 0, 900
Suppose -2*z**4/9 - 9526*z**3/3 - 15130458*z**2 - 24072482502*z - 143890884108 = 0. Calculate z.
-4761, -6
Factor f**3 + 312*f**2 + 3917*f + 8970.
(f + 3)*(f + 10)*(f + 299)
Determine u, given that -2*u**5/11 + 98*u**4 + 4486*u**3/11 - 77238*u**2/11 + 6516*u = 0.
-11, 0, 1, 6, 543
Let -u**2/3 + 106246*u/3 - 2822053129/3 = 0. Calculate u.
53123
Let a**2 - 464*a - 57065 = 0. What is a?
-101, 565
Solve 256*p**5/5 + 13088*p**4/5 + 174433*p**3/5 + 181651*p**2/5 + 4135*p + 125 = 0 for p.
-25, -1, -1/16
Factor 2*c**4/7 + 804*c**3/7 + 67842*c**2/7 - 2604960*c/7 + 20995200/7.
2*(c - 15)**2*(c + 216)**2/7
Determine p so that -p**4/2 - 3270*p**3 - 7170603*p**2 - 5362705238*p - 396863667057/2 = 0.
-2167, -39
Determine u so that -4*u**5 + 48*u**4 - 80*u**3 = 0.
0, 2, 10
Factor 3*z**2/4 + 9249*z/4 - 11580.
3*(z - 5)*(z + 3088)/4
Find u, given that -5*u*