iven that 2*m**3 - 582*m**2 - 2*m + 582 = 0.
-1, 1, 291
Determine g so that -81*g**3/7 - 192069*g**2/7 - 6097*g - 2371/7 = 0.
-2371, -1/9
Solve 4*o**2/9 + 12580*o/3 + 489944/9 = 0.
-9422, -13
Factor -58*f**2/23 + 10*f/23.
-2*f*(29*f - 5)/23
Factor -h**2/4 + 3195*h/4 + 29079.
-(h - 3231)*(h + 36)/4
Solve -900*l**4 - 82435*l**3 + 33745*l**2 + 15130*l - 4600 = 0 for l.
-92, -2/5, 1/4, 5/9
Factor 10*c**2 + 1738986*c - 695596.
2*(c + 173899)*(5*c - 2)
Factor 15*i**2 + 445135*i + 296750.
5*(i + 29675)*(3*i + 2)
What is f in -2*f**4/13 - 68*f**3/13 - 184*f**2/13 + 68*f/13 + 186/13 = 0?
-31, -3, -1, 1
Factor 5*f**2 + 260*f + 1935.
5*(f + 9)*(f + 43)
Suppose -27*t**5 + 39723*t**4 + 190326*t**3 + 115152*t**2 - 35424*t = 0. Calculate t.
-4, -1, 0, 2/9, 1476
Determine k, given that 2*k**2/3 + 62782*k/3 = 0.
-31391, 0
Solve -368*a**5 - 492*a**4 + 5388*a**3 + 5992*a**2 + 480*a = 0.
-4, -1, -2/23, 0, 15/4
Solve 2*y**5/11 + 6584*y**4/11 = 0.
-3292, 0
Factor 3*i**3 + 300*i**2 + 6108*i - 69600.
3*(i - 8)*(i + 50)*(i + 58)
What is s in -2*s**2 - 22452*s - 63011538 = 0?
-5613
Determine y so that -2*y**3/11 + 1058*y**2/11 - 5556*y = 0.
0, 66, 463
Find c such that -3*c**3 - 26232*c**2 - 340575*c - 576246 = 0.
-8731, -11, -2
Factor -s**3 - 6929*s**2 - 6928*s.
-s*(s + 1)*(s + 6928)
Factor -l**4/6 + 17*l**3 - 1025*l**2/6 + 364*l.
-l*(l - 91)*(l - 8)*(l - 3)/6
Factor -2*s**3/11 + 611602*s**2/11 - 1223198*s/11 + 611598/11.
-2*(s - 305799)*(s - 1)**2/11
Factor r**4/3 - 611*r**3/3 + 203*r**2 + 611*r/3 - 610/3.
(r - 610)*(r - 1)**2*(r + 1)/3
Solve f**4/3 + 26207*f**3/3 + 171714815*f**2/3 + 171688609*f/3 = 0 for f.
-13103, -1, 0
Solve -3*l**4 - 105*l**3 - 978*l**2 - 2748*l - 2376 = 0.
-22, -9, -2
Factor 2*o**2/15 + 22552*o/15 - 180544/15.
2*(o - 8)*(o + 11284)/15
Factor -4*x**3 - 37148*x**2 - 222744*x.
-4*x*(x + 6)*(x + 9281)
Factor 3*k**2 + 225588*k + 4240828812.
3*(k + 37598)**2
Factor h**4/2 + 413*h**3 + 4925*h**2/2 + 2050*h.
h*(h + 1)*(h + 5)*(h + 820)/2
Factor 2*u**2 - 2480*u + 102942.
2*(u - 1197)*(u - 43)
Find m such that -40*m**3/7 + 2200104*m**2/7 + 2200134*m/7 + 550036/7 = 0.
-1/2, 275018/5
Find b, given that 10*b**5/9 + 344*b**4/9 + 976*b**3/9 - 908*b**2/3 - 1066*b - 372 = 0.
-31, -3, -2/5, 3
Factor c**4/3 + 1106*c**3/3 - 11144*c**2/3 + 5952*c.
c*(c - 8)*(c - 2)*(c + 1116)/3
Factor -5*j**3 - 1510*j**2 + 38900*j - 71720.
-5*(j - 22)*(j - 2)*(j + 326)
Factor 2*n**2/19 - 3568*n.
2*n*(n - 33896)/19
Factor 3*c**3/7 + 1117170*c**2/7 - 1117173*c/7.
3*c*(c - 1)*(c + 372391)/7
What is c in -5*c**5 + 80*c**4 - 270*c**3 - 440*c**2 + 275*c + 360 = 0?
-1, 1, 8, 9
What is h in -h**3/2 - 133*h**2/10 - 423*h/5 + 36 = 0?
-15, -12, 2/5
Determine y so that -y**5/11 + 155*y**4/11 + 104*y**3 - 1544*y**2/11 - 12432*y/11 + 19440/11 = 0.
-6, -5, 2, 162
Factor o**3/3 - 55*o**2/3 + 196*o + 468.
(o - 39)*(o - 18)*(o + 2)/3
Suppose -2*l**3/5 - 258*l**2/5 - 1008*l = 0. What is l?
-105, -24, 0
Find m such that -m**2/11 - 3438*m - 32504571 = 0.
-18909
What is o in 2*o**5 - 146*o**4/3 - 134*o**3/3 + 278*o**2 + 440*o/3 - 1000/3 = 0?
-2, -5/3, 1, 2, 25
Factor -2*h**2 - 54904*h + 54906.
-2*(h - 1)*(h + 27453)
Find l, given that -3*l**4 - 864*l**3 + 12687*l**2 + 864*l - 12684 = 0.
-302, -1, 1, 14
Solve 3*c**2 - 369*c - 14322 = 0 for c.
-31, 154
What is c in 3*c**3/8 - 35145*c**2/8 + 52677*c - 315981/2 = 0?
6, 11703
What is r in -2*r**3/11 - 4586*r**2/11 - 4584*r/11 = 0?
-2292, -1, 0
Find d such that 32*d**5/3 - 1336*d**4/3 + 4376*d**3/3 + 6914*d**2/3 + 2954*d/3 + 380/3 = 0.
-1/2, -1/4, 5, 38
Solve 3*c**5/8 + 675*c**4/8 + 34773*c**3/8 - 363987*c**2/8 + 41067*c = 0 for c.
-117, 0, 1, 8
Factor -2*q**3/11 - 274*q**2/11 - 542*q/11 - 270/11.
-2*(q + 1)**2*(q + 135)/11
Factor -2*r**3 - 882*r**2 + 450*r + 198450.
-2*(r - 15)*(r + 15)*(r + 441)
Let -2*f**5/13 + 58*f**4/13 + 64*f**3/13 - 120*f**2/13 = 0. Calculate f.
-2, 0, 1, 30
Factor -3*j**2 + 138*j - 1224.
-3*(j - 34)*(j - 12)
Determine t, given that -4*t**3 - 3012*t**2 - 616044*t - 18043340 = 0.
-359, -35
Factor 9*k**3 - 5802*k**2 - 134001*k - 44022.
3*(k - 667)*(k + 22)*(3*k + 1)
Factor 4*a**4/5 - 136*a**3/5 - 436*a**2/5 - 296*a/5.
4*a*(a - 37)*(a + 1)*(a + 2)/5
Factor -b**3 - 105*b**2 - 207*b - 103.
-(b + 1)**2*(b + 103)
Factor n**4 + 3*n**3 - 19*n**2 - 87*n - 90.
(n - 5)*(n + 2)*(n + 3)**2
Factor -2*u**3 - 583012*u**2 - 42489040018*u - 169946832008.
-2*(u + 4)*(u + 145751)**2
Factor 12*c**2 - 78364*c + 26120.
4*(c - 6530)*(3*c - 1)
Factor 1006*v**2 - 6034*v/3 - 4/3.
2*(v - 2)*(1509*v + 1)/3
Find r, given that 2*r**4/7 + 242*r**3/7 + 4932*r**2/7 - 968*r/7 - 19760/7 = 0.
-95, -26, -2, 2
Factor -5*z**2 + 7560*z + 184320.
-5*(z - 1536)*(z + 24)
Factor 3*j**2/8 + 513*j/4 + 18411/8.
3*(j + 19)*(j + 323)/8
Let 2*r**4/7 - 78*r**3/7 + 1116*r**2/7 - 6912*r/7 + 15552/7 = 0. Calculate r.
6, 9, 12
Let -63*y**2 + 300*y + 192 = 0. What is y?
-4/7, 16/3
Factor -3*a**4 + 9531*a**3 - 8096760*a**2 + 821655900*a.
-3*a*(a - 1530)**2*(a - 117)
Find u, given that -100*u**2 + 17760*u + 3556 = 0.
-1/5, 889/5
Suppose -4*w**3 - 354448*w**2 - 1417744*w - 1417728 = 0. Calculate w.
-88608, -2
Determine x, given that -x**3/4 + x**2 + 23*x - 120 = 0.
-10, 6, 8
Solve -104*l**5 + 58*l**4 + 350*l**3 + 50*l**2 - 246*l - 108 = 0.
-1, -3/4, -9/13, 1, 2
Find z, given that 4*z**4 - 212*z**3 + 3096*z**2 - 7488*z = 0.
0, 3, 24, 26
Factor 4*n**2/3 + 508*n/3 + 4136.
4*(n + 33)*(n + 94)/3
Determine z so that z**2 - 134*z + 133 = 0.
1, 133
Find b, given that -61*b**2/9 + 23*b - 146/9 = 0.
1, 146/61
Solve -2*p**2/3 - 25466*p - 76396/3 = 0 for p.
-38198, -1
Let -3*q**5 - 154*q**4 + 232469*q**3/3 + 778438*q**2/3 + 727420*q/3 + 207944/3 = 0. Calculate q.
-187, -2, -2/3, 139
Factor m**4 - 6*m**3 - 1156*m**2 - 2280*m.
m*(m - 38)*(m + 2)*(m + 30)
Solve -2*h**2/13 + 30772*h/13 - 118364498/13 = 0 for h.
7693
Factor 3*z**2 - 2646558*z + 583689103947.
3*(z - 441093)**2
Find t, given that -3*t**2/2 + 11163*t - 41537523/2 = 0.
3721
Factor 5*h**3 + 130*h**2 + 720*h.
5*h*(h + 8)*(h + 18)
Factor -2*d**3 + 7454*d**2 - 81728*d - 89184.
-2*(d - 3716)*(d - 12)*(d + 1)
Factor -5*l**2 - 30*l + 4760.
-5*(l - 28)*(l + 34)
Let 25*y**5 + 21980*y**4 + 26304*y**3 - 31600*y**2 + 7024*y = 0. What is y?
-878, -2, 0, 2/5
Let -3*c**2 - 6732*c + 13476 = 0. Calculate c.
-2246, 2
Let -4*f**3 + 216*f**2 + 1468*f - 1680 = 0. Calculate f.
-7, 1, 60
Factor -t**3/2 + 565*t**2 - 169806*t + 5664204.
-(t - 546)**2*(t - 38)/2
Determine l so that 4*l**2 + 259584*l - 259588 = 0.
-64897, 1
Factor -3*t**2/8 + 5487*t/4 + 32949/8.
-3*(t - 3661)*(t + 3)/8
Suppose -8*i**3/7 - 50244*i**2/7 + 402408*i/7 - 50308 = 0. Calculate i.
-12577/2, 1, 7
Suppose u**3 + 340*u**2 + 10693*u + 88434 = 0. Calculate u.
-306, -17
Find c such that 4*c**3/3 + 35912*c**2/3 + 23936*c = 0.
-8976, -2, 0
Suppose 75*g**3 + 34405*g**2 - 127010*g + 69360 = 0. Calculate g.
-2312/5, 2/3, 3
Determine g so that -g**2/11 - 12822*g/11 - 76896/11 = 0.
-12816, -6
Find d such that 4*d**4 + 3404*d**3 + 701656*d**2 - 9628416*d + 16422912 = 0.
-432, 2, 11
Factor -h**4 - 743*h**3 - 41255*h**2 - 615757*h - 575244.
-(h + 1)*(h + 29)**2*(h + 684)
Solve -4*r**5 - 2020*r**4 - 256028*r**3 - 251996*r**2 + 256032*r + 254016 = 0.
-252, -1, 1
Find w such that -3*w**4/4 + 1011*w**3/4 + 19935*w**2/4 + 126357*w/4 + 65415 = 0.
-7, -5, 356
Factor -v**2/11 - 1024*v/11 - 106119/11.
-(v + 117)*(v + 907)/11
Let -2*h**2/9 - 44368*h/9 - 246064928/9 = 0. What is h?
-11092
Factor 4*f**3 + 892*f**2 - 107456*f + 2666160.
4*(f - 46)**2*(f + 315)
Factor -4*s**5 - 115392*s**4 - 461504*s**3.
-4*s**3*(s + 4)*(s + 28844)
Find r, given that 2*r**3/5 + 14434*r**2/5 + 14428*r/5 - 28864/5 = 0.
-7216, -2, 1
Factor f**2/6 - 5811*f + 101303163/2.
(f - 17433)**2/6
Let y**3/2 + 10889*y**2/2 + 14725552*y - 522085270 = 0. What is y?
-5462, 35
Determine j, given that 8*j**5 - 126*j**4 + 32*j**3 + 5136*j**2 - 8320*j - 2400 = 0.
-6, -1/4, 2, 10
Factor 4*x**2/5 + 4896*x/5 + 4892/5.
4*(x + 1)*(x + 1223)/5
Solve -21*f**4 + 326964*f**3 + 1401552*f**2 + 1681968*f + 373776 = 0 for f.
-2, -2/7, 15574
Factor 3*f**4 + 108*f**3 + 1314*f**2 + 5772*f + 4563.
3*(f + 1)*(f + 9)*(f + 13)**2
Factor -26*x**4/3 + 136*x**3 - 696*x**2 + 1152*x.
-2*x*(x - 6)**2*(13*x - 48)/3
Find j such that -242*j**3/5 - 3080*j**2 - 49000*j = 0.
-350/11, 0
Suppose 