108494738.
2*(s - 513)**2*(s - 349)**2
Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0.
-19077, -18
Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082.
2*(k - 56463)**2*(k - 1)/9
Factor -18*i**3 - 100704*i**2 - 67130*i - 11188.
-2*(i + 5594)*(3*i + 1)**2
Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c**2/7 - 2156673584*c/7 - 4314090272/7 = 0. What is c?
-1, 2, 23222
Factor p**2/6 + 739*p/6 + 22425.
(p + 325)*(p + 414)/6
Let n**2/5 - 579*n/5 - 5292/5 = 0. What is n?
-9, 588
Factor -3*p**2/7 - 632529*p/7 + 632532/7.
-3*(p - 1)*(p + 210844)/7
Find o such that 3*o**4 - 423*o**3 + 5622*o**2 + 6048*o = 0.
-1, 0, 16, 126
Solve 4*x**4 - 176*x**3 + 500*x**2 - 328*x = 0.
0, 1, 2, 41
Determine l, given that -2*l**5/9 - 8*l**4 + 830*l**3/9 + 100*l**2 = 0.
-45, -1, 0, 10
Factor -12*n**2 - 148*n + 9520.
-4*(n + 35)*(3*n - 68)
Solve 2*d**3/15 - 188900*d**2 + 66906018750*d = 0 for d.
0, 708375
Factor f**5/7 + 2070*f**4/7 + 1075357*f**3/7 + 4276620*f**2/7 + 4268356*f/7.
f*(f + 2)**2*(f + 1033)**2/7
Suppose -2*q**4/19 - 8128*q**3/19 - 8118716*q**2/19 + 283122624*q/19 - 2426675778/19 = 0. Calculate q.
-2049, 17
Let -15*b**2 + 43*b/3 + 2/3 = 0. What is b?
-2/45, 1
Factor 4*y**2 + 1720*y - 117600.
4*(y - 60)*(y + 490)
Let 2*h**2/7 - 1516*h/7 + 287282/7 = 0. What is h?
379
Suppose n**2/4 - 2281*n + 4561 = 0. What is n?
2, 9122
Let 4*l**4 + 1460*l**3 - 92852*l**2 - 190068*l - 95760 = 0. Calculate l.
-420, -1, 57
Determine t so that -t**3/5 + 759*t**2 - 15143*t/5 - 79611/5 = 0.
-3, 7, 3791
Factor -y**3 + 556*y**2 - 513*y - 23310.
-(y - 555)*(y - 7)*(y + 6)
Let 50*s**3/7 - 78090*s**2/7 + 62448*s/7 - 1784 = 0. Calculate s.
2/5, 1561
Suppose 3*k**5/5 - 33*k**4/5 - 201*k**3/5 + 1113*k**2/5 - 882*k/5 = 0. What is k?
-7, 0, 1, 3, 14
Find c, given that -3*c**5 + 237*c**4 + 3777*c**3 + 11907*c**2 + 8370*c = 0.
-10, -3, -1, 0, 93
Determine s so that s**2 - 46*s - 2952 = 0.
-36, 82
Find q, given that -3*q**4 + 852*q**3 + 20139*q**2 + 17568*q - 38556 = 0.
-21, -2, 1, 306
Solve 550*z**5 - 74255*z**4 + 362575*z**3 - 577490*z**2 + 291220*z - 2600 = 0 for z.
1/110, 1, 2, 130
Find j, given that 2*j**2/7 + 10036*j/7 - 660790/7 = 0.
-5083, 65
Solve -n**3 + 193*n**2 - 8732*n + 8540 = 0 for n.
1, 70, 122
Suppose 3*f**2 + 2055492*f + 352087280172 = 0. Calculate f.
-342582
Factor z**3/3 + 385*z**2/3 + 1900*z/3.
z*(z + 5)*(z + 380)/3
Determine c so that -c**4/3 + 6*c**3 + 20*c**2 + 62*c/3 + 7 = 0.
-1, 21
Find p such that -2*p**3 - 4306*p**2 + 4312*p + 8616 = 0.
-2154, -1, 2
Solve -5*a**5 - 680*a**4 - 27980*a**3 - 199430*a**2 + 6110545*a - 5882450 = 0.
-49, 1, 10
Determine b so that 2*b**2 + 1328*b + 156366 = 0.
-511, -153
Suppose 2*y**2/5 - 727376*y/5 + 66134480672/5 = 0. What is y?
181844
Determine f, given that 3*f**2 - 1273254*f + 135097979043 = 0.
212209
Factor -4*z**2 - 568*z - 10948.
-4*(z + 23)*(z + 119)
Suppose 1418*c**2/13 + 2572*c/13 - 528/13 = 0. What is c?
-2, 132/709
Solve b**3 - 62121*b**2 + 964661472*b + 2894543532 = 0.
-3, 31062
Determine y so that -y**5 + 83*y**4 - 1233*y**3 - 4207*y**2 - 4378*y - 1488 = 0.
-1, 24, 62
Suppose 8*o**5/11 - 58*o**4/11 - 1530*o**3/11 + 6970*o**2/11 - 6638*o/11 + 1248/11 = 0. Calculate o.
-13, 1/4, 1, 3, 16
Factor -2*a**3 + 113*a**2/2 - 101*a/2 - 109.
-(a - 2)*(a + 1)*(4*a - 109)/2
Factor -5*f**3/2 + 1105*f**2/2 + 2245*f/2 - 3345/2.
-5*(f - 223)*(f - 1)*(f + 3)/2
Suppose -x**4/5 - 38*x**3/5 + 7032*x**2/5 + 67662*x - 345303/5 = 0. What is x?
-63, 1, 87
Factor -3*l**3/5 - 261*l**2/5 - 633*l - 7227/5.
-3*(l + 3)*(l + 11)*(l + 73)/5
Determine l, given that 2*l**5/3 + 4472*l**4/3 - 4484*l**3 - 40312*l**2/3 - 22390*l/3 = 0.
-2239, -1, 0, 5
Factor 4*o**5/7 - 720*o**4/7 + 24000*o**3/7 - 32000*o**2.
4*o**2*(o - 140)*(o - 20)**2/7
Find i such that -i**5 - 60*i**4 + 530*i**3 - 960*i**2 - 529*i + 1020 = 0.
-68, -1, 1, 3, 5
Factor d**2/6 - 233*d/2 + 13180/3.
(d - 659)*(d - 40)/6
Factor t**3/7 - 1728*t**2/7 + 3453*t/7 - 1726/7.
(t - 1726)*(t - 1)**2/7
Let 2*h**5 + 436*h**4 + 1702*h**3 - 2140*h**2 = 0. Calculate h.
-214, -5, 0, 1
Factor 1539*x**4 - 9228*x**3 + 18432*x**2 - 12240*x - 48.
3*(x - 2)**3*(513*x + 2)
Factor 2*a**2/13 - 64*a/13 - 73986/13.
2*(a - 209)*(a + 177)/13
Factor g**3/4 - 465*g**2/4 - 5761*g + 11985.
(g - 510)*(g - 2)*(g + 47)/4
Suppose -20*n**5 - 516*n**4 + 1204*n**3 - 780*n**2 + 112*n = 0. What is n?
-28, 0, 1/5, 1
What is z in 4*z**2/3 + 1388*z/3 - 21784 = 0?
-389, 42
Factor 3*o**3/2 - 163836*o**2 + 8947739295*o/2 - 8947083963.
3*(o - 54611)**2*(o - 2)/2
Factor -182*z**3 + 48*z**2 + 54*z.
-2*z*(7*z + 3)*(13*z - 9)
Determine m so that -65*m**5/2 + 7601*m**4/2 - 14417*m**3/2 - 8521*m**2/2 + 7241*m + 460 = 0.
-1, -4/65, 1, 2, 115
Factor -5*q**2 - 1840*q + 870400.
-5*(q - 272)*(q + 640)
Find a such that 3*a**3 - 1140*a**2 + 1137*a = 0.
0, 1, 379
Find x such that 5*x**5 + 18835*x**4 - 56550*x**3 + 20*x**2 + 75400*x = 0.
-3770, -1, 0, 2
Solve -t**5/3 - 6*t**4 + 47*t**3 - 82*t**2/3 - 80*t = 0 for t.
-24, -1, 0, 2, 5
Factor -w**4 + 358*w**3 - 1977*w**2 - 47120*w - 140800.
-(w - 352)*(w - 16)*(w + 5)**2
Suppose -3*x**5 - 870*x**4 + 26457*x**3 - 86292*x**2 - 1654236*x = 0. Calculate x.
-318, -6, 0, 17
Solve 5*n**3 + 3829990*n**2 + 733441170005*n = 0 for n.
-382999, 0
Find s, given that 4*s**4 - 33972*s**3 - 135964*s**2 + 101892*s + 611784 = 0.
-3, 2, 8497
What is y in -4*y**2 + 148976*y - 1387115536 = 0?
18622
Determine j so that -3*j**5 - 1998*j**4 + 10047*j**3 - 12090*j**2 - 8028*j + 16104 = 0.
-671, -1, 2
Factor -2469*g**2 + 49378*g + 40.
-(g - 20)*(2469*g + 2)
Find f such that -3*f**3 + 93246*f**2 + 466323*f - 559566 = 0.
-6, 1, 31087
Factor -b**5 + 1106*b**4 + 2216*b**3 + 2*b**2 - 2215*b - 1108.
-(b - 1108)*(b - 1)*(b + 1)**3
Determine m, given that -m**4/4 - 77207*m**3/4 - 496736970*m**2 - 4261009715792*m + 4261506472064 = 0.
-25736, 1
Solve 4*f**4 + 228*f**3 - 65704*f**2 - 132288*f = 0 for f.
-159, -2, 0, 104
Find o, given that -3214*o**5/7 + 16066*o**4/7 - 25692*o**3/7 + 1832*o**2 + 16*o/7 = 0.
-2/1607, 0, 1, 2
Factor 2*m**4/3 - 10480*m**3/3 + 6162156*m**2 - 11288129216*m/3 + 547886809834/3.
2*(m - 1729)**3*(m - 53)/3
Determine p so that 2*p**5/3 + 296*p**4/3 - 202*p**3 - 884*p**2/3 + 2392*p/3 - 400 = 0.
-150, -2, 1, 2
Determine z so that 4*z**3 + 5620*z**2 - 85264*z - 90880 = 0.
-1420, -1, 16
Suppose g**3/10 + 22*g**2/5 - 202*g/5 + 312/5 = 0. What is g?
-52, 2, 6
Factor -2*i**4 - 82*i**3 - 296*i**2.
-2*i**2*(i + 4)*(i + 37)
Let 5*m**2 + 4456045*m/3 + 990230 = 0. Calculate m.
-297069, -2/3
Determine t so that 8*t**3/7 - 822*t**2/7 - 1038*t/7 - 208/7 = 0.
-1, -1/4, 104
Suppose -2*b**3/3 + 5167*b**2/3 + 12937*b/3 - 6034 = 0. What is b?
-7/2, 1, 2586
Find b such that -b**2/8 + 1435*b/8 + 2157/4 = 0.
-3, 1438
Factor -2*f**2/9 + 20*f - 688/9.
-2*(f - 86)*(f - 4)/9
Solve -363*q**4/4 + 24981*q**3/2 + 68661*q**2/4 + 5001*q + 417 = 0.
-1, -2/11, 139
Let -3*w**4/5 + 588*w**3/5 - 18897*w**2/5 - 1035552*w/5 - 1016064/5 = 0. Calculate w.
-27, -1, 112
Solve z**3/4 + 1213*z**2/4 - 4865*z/4 + 3651/4 = 0 for z.
-1217, 1, 3
Let -2*v**3/9 - 746*v**2/3 + 2992*v/3 - 8984/9 = 0. What is v?
-1123, 2
Let 52*i**3 + 292*i**2 - 4592*i = 0. What is i?
-164/13, 0, 7
Factor -x**2/12 - 2659*x/3 - 3545/4.
-(x + 1)*(x + 10635)/12
Factor -3*z**3/2 + 3981*z**2/2 + 1992*z.
-3*z*(z - 1328)*(z + 1)/2
Let 4*t**3/7 + 776*t**2/7 + 12036*t/7 = 0. Calculate t.
-177, -17, 0
Suppose 605*a**3 - 2169255*a**2 - 11845800*a - 16159500 = 0. Calculate a.
-30/11, 3591
Let -371*k**4 + 275283*k**3 - 50789158*k**2 - 102544032*k + 276768 = 0. What is k?
-2, 1/371, 372
Factor -3*y**3/2 + 192*y**2 - 16383*y/2 + 116487.
-3*(y - 43)**2*(y - 42)/2
Factor 5*a**3 + 3278*a**2 - 1328*a - 10496.
(a - 2)*(a + 656)*(5*a + 8)
Factor m**4/8 + m**3/8 - 21*m**2/8 - 45*m/8.
m*(m - 5)*(m + 3)**2/8
Factor 4*z**3 + 1520*z**2 - 121100*z + 2205000.
4*(z - 35)**2*(z + 450)
Determine l so that -l**3 - 1749*l**2 - 13944*l - 27856 = 0.
-1741, -4
Solve 4*k**4/7 + 132*k**3/7 - 12584*k**2/7 + 36768*k/7 - 24320/7 = 0 for k.
-76, 1, 2, 40
Suppose -h**2 - 31324*h + 62652 = 0. Calculate h.
-31326, 2
Find v such that v**3/9 - 202*v**2/9 + 10279*v/9 - 6586/3 = 0.
2, 89, 111
Determine r, given that r**2 + 406*r - 56135 = 0.
-515, 109
What is v in 4*v**2 - 16460*v - 16464 = 0?
-1, 4116
Factor 3*x**2 + 292899*x 