Tricky Algebra.....If m and n are non-zero integers

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If m and n are non-zero integers, is (m^6 − m^5 − m^4) divisible by n?

1) m^2 − 1 = m + n^2

2) m^4 − 2m^3 + m^2 = n^2 + 11

Source: Math revolution

OA: D