g**3 - 247706378*g**2 - 10834656360*g - 118945153800.
-2*(g + 22)**2*(g + 11085)**2
Factor -m**3/6 + 286*m**2 - 5141*m/6 + 571.
-(m - 1713)*(m - 2)*(m - 1)/6
Let -l**5/4 + 33*l**4/4 + 497*l**3/4 + 1875*l**2/4 + 668*l + 315 = 0. Calculate l.
-7, -2, -1, 45
Factor 3*v**3 + 27*v**2 - 894*v + 1656.
3*(v - 12)*(v - 2)*(v + 23)
Factor -5*v**3/2 + 275*v**2 - 13865*v/2 + 6660.
-5*(v - 72)*(v - 37)*(v - 1)/2
Let 2*m**4 + 302*m**3 + 14260*m**2 + 211456*m + 737280 = 0. What is m?
-64, -18, -5
Factor 4*h**3/5 - 28084*h**2/5 + 56156*h/5 - 28076/5.
4*(h - 7019)*(h - 1)**2/5
Factor -v**2/2 + 631*v/2 - 1875.
-(v - 625)*(v - 6)/2
Factor -t**3 - 3435*t**2 - 6867*t - 3433.
-(t + 1)**2*(t + 3433)
Factor -j**3/6 + 28*j**2/3 + 671*j/6 - 121.
-(j - 66)*(j - 1)*(j + 11)/6
Suppose c**5/7 + 1402*c**4/7 + 492769*c**3/7 + 133804*c**2 - 2164400*c + 1960000 = 0. Calculate c.
-700, -7, 1, 4
Factor -o**2/6 + 2993*o - 89765/6.
-(o - 17953)*(o - 5)/6
Factor 12*b**2 - 396*b + 3267.
3*(2*b - 33)**2
Find z such that -z**5/6 + 65*z**4/6 - 821*z**3/6 - 1289*z**2/6 + 893*z = 0.
-3, 0, 2, 19, 47
Factor k**3/9 + 338*k**2/3.
k**2*(k + 1014)/9
Let 25*p**3 - 222560*p**2 + 311545*p - 89010 = 0. What is p?
2/5, 1, 8901
Factor 4*i**4 - 824*i**3 + 22272*i**2.
4*i**2*(i - 174)*(i - 32)
Factor 5*x**2/3 + 199900*x + 5994001500.
5*(x + 59970)**2/3
What is h in -2*h**2/5 - 20054*h = 0?
-50135, 0
Solve -h**5/6 + 64*h**4 - 19189*h**3/3 - 458324*h**2/3 + 70887793*h/2 - 105854368/3 = 0.
-64, 1, 149
Factor 2*c**2/19 - 1272*c/19 + 1234.
2*(c - 617)*(c - 19)/19
Let -4*i**3 + 28*i**2 + 68*i + 36 = 0. Calculate i.
-1, 9
What is p in -2*p**3 - 50*p**2 - 328*p - 280 = 0?
-14, -10, -1
Factor -o**2/9 + 1094*o/9 - 98576/3.
-(o - 606)*(o - 488)/9
Find d such that -5973*d**2/8 - 17913*d/8 + 9/4 = 0.
-3, 2/1991
What is i in 10*i**5/9 + 542*i**4/9 + 7918*i**3/9 + 15602*i**2/9 + 9568*i/9 + 1352/9 = 0?
-26, -1, -1/5
What is o in -2*o**3/9 + 82*o**2/3 + 114332*o/9 - 38192/3 = 0?
-186, 1, 308
Suppose -4*t**2 - 3756*t - 29792 = 0. Calculate t.
-931, -8
Solve 2*p**4/7 - 102*p**3 - 16558*p**2/7 - 6378*p - 28804/7 = 0 for p.
-19, -2, -1, 379
Find f such that -28*f**2/11 - 8210*f/11 - 1758/11 = 0.
-293, -3/14
Factor -j**3/5 + 4182*j**2/5 + 3348*j + 16744/5.
-(j - 4186)*(j + 2)**2/5
What is i in -2*i**4 - 320*i**3 - 4136*i**2 - 7008*i = 0?
-146, -12, -2, 0
Factor -5*x**3 + 1920*x**2 + 81020*x - 354480.
-5*(x - 422)*(x - 4)*(x + 42)
Find j, given that -8*j**3 + 48614*j**2 - 145786*j + 97180 = 0.
1, 2, 24295/4
Let -a**3 + 372*a**2 - 10485*a - 5103166 = 0. Calculate a.
-94, 233
Let -l**4/8 - 1679*l**3/8 + 9323*l**2/4 + 23675*l/2 + 12675 = 0. Calculate l.
-1690, -2, 15
Determine b so that -b**5/7 + 3*b**4 - 122*b**3/7 + 250*b**2/7 - 213*b/7 + 65/7 = 0.
1, 5, 13
Let -2*h**2 - 169436*h - 338864 = 0. What is h?
-84716, -2
Solve 782*h**5 + 58510*h**4/7 + 16096*h**3 - 237520*h**2/7 + 62304*h/7 - 1440/7 = 0.
-6, 10/391, 2/7, 1
Factor 2*w**2/9 + 40*w/9 - 952/9.
2*(w - 14)*(w + 34)/9
Solve 2*c**4 - 1070*c**3 - 9762*c**2 - 16370*c + 27200 = 0 for c.
-5, 1, 544
Find t such that -t**4/3 - 163*t**3/3 - 557*t**2 + 163*t/3 + 1672/3 = 0.
-152, -11, -1, 1
Suppose 2*s**5/5 + 58*s**4/5 + 314*s**3/5 + 14*s**2 - 1324*s/5 + 176 = 0. What is s?
-22, -5, -4, 1
Suppose -3*c**2/5 + 107886*c/5 - 969949083/5 = 0. What is c?
17981
Solve 3*q**2 - 462*q - 9288 = 0 for q.
-18, 172
Solve -r**2 - 1194*r - 22325 = 0 for r.
-1175, -19
Factor 2*h**2/11 - 1538476*h/11 + 295863550322/11.
2*(h - 384619)**2/11
Suppose -36*p**3 - 2500*p**2 - 11816*p - 13920 = 0. What is p?
-580/9, -3, -2
Suppose -2*g**4/7 + 3046*g**3/7 - 9126*g**2/7 + 9122*g/7 - 3040/7 = 0. What is g?
1, 1520
Factor -3*r**4/4 + 30516*r**3 - 620878533*r**2/2 + 620786988*r - 1241512947/4.
-3*(r - 20343)**2*(r - 1)**2/4
Determine n, given that n**4/3 + 86*n**3/3 + 1033*n**2/3 - 11696*n + 55488 = 0.
-51, 8
Factor -71204*z**3 - 142404*z**2 - 71196*z + 4.
-4*(z + 1)**2*(17801*z - 1)
Suppose 5*a**2 - 34125*a - 102420 = 0. Calculate a.
-3, 6828
Factor 3*h**3/2 + 37728*h**2.
3*h**2*(h + 25152)/2
Solve 2*s**3/7 + 6584*s**2/7 - 13192*s/7 - 52704/7 = 0 for s.
-3294, -2, 4
Factor 2*n**2 + 7904*n - 7906.
2*(n - 1)*(n + 3953)
Let -3*u**4/2 - 14550*u**3 - 29088*u**2 + 58200*u + 116376 = 0. What is u?
-9698, -2, 2
Let 2*c**2 + 330*c - 10368 = 0. What is c?
-192, 27
Suppose 4*y**5 + 91580*y**4 + 1006972*y**3 + 1739220*y**2 + 823824*y = 0. Calculate y.
-22884, -9, -1, 0
Factor 5*k**2 - 3212110*k + 515882532605.
5*(k - 321211)**2
Determine o so that -2*o**3/19 - 538*o**2/19 - 2652*o/19 - 3168/19 = 0.
-264, -3, -2
Factor o**2 + 95142*o + 190280.
(o + 2)*(o + 95140)
Factor -105*g**2/4 - 1052631*g/4 - 30075/2.
-3*(g + 10025)*(35*g + 2)/4
Determine h so that 2*h**4/3 - 112*h**3/3 + 184*h**2/3 + 1792*h/3 - 1152 = 0.
-4, 2, 4, 54
Factor 502*k**3 - 1510*k**2 - 1996*k + 16.
2*(k - 4)*(k + 1)*(251*k - 2)
Determine d so that -2*d**5/5 - 146*d**4/5 + 2018*d**3/5 - 374*d**2 = 0.
-85, 0, 1, 11
Determine o so that -114*o**4/7 + 524*o**3 - 20584*o**2/7 + 3308*o/7 + 150 = 0.
-3/19, 1/3, 7, 25
Suppose g**4 + 18972*g**3 + 94843*g**2 + 151740*g + 75868 = 0. Calculate g.
-18967, -2, -1
Factor 5*d**4/2 - 6545*d**3/2 + 1066000*d**2 + 3227520*d.
5*d*(d - 656)**2*(d + 3)/2
What is b in 10*b**4 - 75*b**3 - 365*b**2 - 240*b + 220 = 0?
-2, 1/2, 11
What is b in 3*b**5 + 165*b**4 - 894*b**3 + 384*b**2 + 1440*b = 0?
-60, -1, 0, 2, 4
Factor 2*i**2/5 + 7548*i/5 - 144134/5.
2*(i - 19)*(i + 3793)/5
Factor 3*q**4 + 174*q**3 + 3240*q**2 + 20736*q + 41472.
3*(q + 4)*(q + 6)*(q + 24)**2
Suppose 4*k**2 - 309916*k - 619848 = 0. Calculate k.
-2, 77481
Suppose 3*u**5 + 3291*u**4 - 6594*u**3 = 0. Calculate u.
-1099, 0, 2
Let -124*d**5 - 1564*d**4/3 - 40*d**3/3 + 1024*d**2/3 - 128*d/3 = 0. What is d?
-4, -1, 0, 4/31, 2/3
Factor -j**3 + 2378*j**2 - 1394505*j - 22924944.
-(j - 1197)**2*(j + 16)
Solve -3*h**3 + 4080*h**2 - 4077*h = 0.
0, 1, 1359
Factor -5*a**3 + 9340*a**2 - 83695*a + 74360.
-5*(a - 1859)*(a - 8)*(a - 1)
Find z such that 10*z**2 - 6156625*z - 3078315 = 0.
-1/2, 615663
Factor 2*s**3 + 154*s**2 - 32*s - 2464.
2*(s - 4)*(s + 4)*(s + 77)
Find j such that 16089*j**2/8 - 48231*j/8 - 27/2 = 0.
-12/5363, 3
Solve -3*s**5/2 - 681*s**4 - 1344*s**3 + 5424*s**2 = 0.
-452, -4, 0, 2
Solve c**3 - 1724*c**2 - 1725*c = 0 for c.
-1, 0, 1725
What is o in -4*o**2 - 63744*o + 127504 = 0?
-15938, 2
Factor -5*j**2 - 5131280*j.
-5*j*(j + 1026256)
Let 10*b**5 - 486*b**4 - 15346*b**3 + 25670*b**2 - 3408*b - 6440 = 0. What is b?
-23, -2/5, 1, 70
Factor -3*f**4/4 + 27387*f**3 - 499977069*f**2/2 - 500059233*f - 1000173243/4.
-3*(f - 18259)**2*(f + 1)**2/4
Let 5*u**4 - 1520*u**3 - 90030*u**2 - 175480*u - 86975 = 0. What is u?
-49, -1, 355
Find d such that -11*d**5 - 370*d**4 - 2119*d**3 - 4064*d**2 - 1788*d + 1296 = 0.
-27, -3, -2, 4/11
Factor -2*u**2/5 + 73116*u/5 - 668243682/5.
-2*(u - 18279)**2/5
Find s, given that -s**2/7 - 37*s - 13348/7 = 0.
-188, -71
Factor -2*i**2/3 - 26476*i/3 + 79482.
-2*(i - 9)*(i + 13247)/3
Factor d**5 - 9416*d**4 + 94084*d**3 - 225766*d**2 + 206939*d - 65842.
(d - 9406)*(d - 7)*(d - 1)**3
Solve 4*b**2 + 5067928*b + 1605243388324 = 0.
-633491
Solve -3*q**2 - 321327*q = 0 for q.
-107109, 0
Find y such that 18*y**5 - 1158*y**4 + 20294*y**3 - 54114*y**2 + 51888*y - 16928 = 0.
1, 92/3
Factor -2*b**4 + 1658*b**3 - 1656*b**2.
-2*b**2*(b - 828)*(b - 1)
Factor -2*t**2/5 + 106*t - 34568/5.
-2*(t - 149)*(t - 116)/5
Factor -95*i**3 + 2025*i**2 - 4240*i + 1140.
-5*(i - 19)*(i - 2)*(19*i - 6)
Factor y**4/6 - 19*y**3 + 1071*y**2/2 + 684*y - 19494.
(y - 57)**2*(y - 6)*(y + 6)/6
Factor -3*q**2/2 - 231969*q/2 - 811818.
-3*(q + 7)*(q + 77316)/2
Let x**4/5 + 143*x**3/5 - 1036*x**2/5 + 2092*x/5 - 240 = 0. What is x?
-150, 1, 2, 4
Factor 3*j**3/7 + 93*j**2 + 894*j + 9936/7.
3*(j + 2)*(j + 8)*(j + 207)/7
Determine t so that -2*t**2/3 - 19802*t/3 + 19804/3 = 0.
-9902, 1
Determine k so that -3*k**4 + 795*k**3 - 20832*k**2 + 70800*k = 0.
0, 4, 25, 236
Let -16*p**4/7 + 236*p**3/7 - 764*p**2/7 - 236*p/7 + 780/7 = 0. Calculate p.
-1, 1, 5, 39/4
Determine f, given that 3*f**5/4 - 261*f**4/4 - 7221*f**3/4 - 40047*f**2/4 - 29745*f/2 - 6600 = 0.
-16, -5, -1, 110
Find q, given that 10*q**2 - 14396*q + 8634 = 0.
3/5, 1439
Solve -4*k**5 - 35696*k**4 - 78919056*k**3 + 3214131840*k**2