Determine a so that -135*a**5/2 - 20595*a**4/2 - 394460*a**3 - 578460*a**2 + 395720*a + 112200 = 0.

Let -3*q5 - 383178*q4 + 3065556*q3 - 7663992*q2 + 6131232*q = 0. What is q?

-127734, 0, 2, 4

Suppose -z**2 + 2236575*z/4 + 139786 = 0. What is z?

-¹⁄₄, 559144

Determine j, given that -4*j4 - 747*j³⁄₁₀ - 2631*j**²⁄₁₀ + 1003*j/10 + ⁴⁸³⁄₂ = 0.

-⁶⁹⁄₅, -5, -⁷⁄₈, 1

Find g, given that 5*g4 - 795545*g3 + 3182125*g**2 - 3977635*g + 1591050 = 0.

1, 2, 159105

Determine q, given that -q3 + 2972*q2 - 2159876*q - 72192128 = 0.

-32, 1502

Determine c, given that -3*c**2 + 8928*c - 3110757 = 0.

403, 2573

What is n in -5*n4 + 703665*n3 + 4222110*n**2 + 8444300*n + 5629560 = 0?

-2, 140739

Solve g³⁄₄ - 1607*g2 - 29017*g + 64460 = 0.

-20, 2, 6446

Solve 147*m5 - 9303*m4 + 26568*m3 + 151248*m2 - 395520*m + 230400 = 0 for m.

-4, ⁸⁄₇, 5, 60

Factor -r3 - 2724*r2 + 814912*r.

-r(r - 272)(r + 2996)