Factor m4 + 45*m3 - 17929*m**2 - 54165*m.

m(m - 115)(m + 3)*(m + 157)

Factor -2*p**2⁄5 + 14192*p/5 + 1032192⁄5.

-2(p - 7168)(p + 72)/5

Factor q**2 - 6192*q - 1003300.

(q - 6350)*(q + 158)

Factor -n**2⁄2 + 53131*n/2 - 451469.

-(n - 53114)*(n - 17)/2

Determine x, given that -3*x4 - 9996*x3 - 5550105*x**2 + 4966090416*x + 4971630528 = 0.

-1896, -1, 461

Let -3*x5 + 2523*x4 - 560433*x3 + 12355137*x2 + 26401680*x + 13483584 = 0. Calculate x.

-1, 27, 408

Solve 260*r5 + 23668*r4 - 123292*r3 + 73404*r2 + 227016*r + 6912 = 0 for r.

-96, -1, -2⁄65, 3

Determine t so that t**2 + 32389*t - 64782 = 0.

-32391, 2

Solve 3*z4 - 252*z3 + 3420*z**2 + 40224*z + 89280 = 0.

-4, 30, 62

Factor r**2⁄2 - 178*r - 207437⁄2.

(r - 667)*(r + 311)/2