Determine w so that 21*w5 + 114561*w4 - 81846*w3 - 32736*w2 = 0.

-5456, -2⁄7, 0, 1

Factor 5*p4 - 9820*p3 - 59060*p**2 - 78800*p.

5p(p - 1970)(p + 2)(p + 4)

Let v**2⁄3 + 798644*v + 2395931⁄3 = 0. What is v?

-2395931, -1

Find f, given that -f4⁄8 + 1021*f3⁄4 + 3603*f**2⁄2 - 70749*f/4 + 239733⁄8 = 0.

-13, 3, 2049

Let 264*c4⁄7 + 604*c3⁄7 - 7164*c**2⁄7 + 10244*c/7 - 564 = 0. Calculate c.

-7, 47⁄66, 1, 3

Find c, given that 180*c4 - 21596*c3 - 44408*c**2 - 16*c + 1952 = 0.

-2, -2⁄9, 1⁄5, 122

Find k, given that k5⁄4 - 174*k4 + 26381*k3 + 2727189*k2⁄2 + 48469995*k/4 + 37988919⁄2 = 0.

-31, -9, -2, 369

Find b such that b5⁄5 + 221*b4⁄5 + 1070*b3 - 180754*b2⁄5 + 1428889*b/5 - 705551 = 0.

-187, -55, 7

Factor -2*g**2⁄19 - 26450*g/19 - 132200⁄19.

-2(g + 5)(g + 13220)/19

Let -d**2⁄2 + 1001*d/2 - 85347 = 0. Calculate d.

218, 783