Determine j, given that -j**2⁄4 - 11299*j/2 + 1291335⁄4 = 0.

-22655, 57

Determine i so that i4⁄4 + 1055*i3⁄2 - 46839*i**2⁄4 + 34814*i + 360308 = 0.

-2132, -4, 13

Factor -p3 - 39373*p2 + 39376*p + 78748.

-(p - 2)(p + 1)(p + 39374)

Find z such that 19*z5⁄2 - 180749*z4⁄2 + 215166083*z3 - 1096533874*z2 + 971860220*z - 90402064 = 0.

2⁄19, 1, 4, 4754

Let 3*o3 - 7716*o2 + 3182688*o = 0. Calculate o.

0, 516, 2056

Factor -2*q**2⁄3 - 626*q + 235424⁄3.

-2(q - 112)(q + 1051)/3

Let f3⁄3 - 781262*f2 + 457777734483*f = 0. Calculate f.

0, 1171893

Factor -a3 - 611028*a2 - 611027*a.

-a(a + 1)(a + 611027)

Let 5*n5 - 15005*n4 + 11324610*n3 - 100381600*n2 - 246181760*n = 0. Calculate n.

-2, 0, 11, 1496

Find z such that z5⁄4 + 3199*z4⁄2 - 51241*z3⁄4 + 22421*z2⁄2 = 0.

-6406, 0, 1, 7