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(n2+2n+2) ∣ (n3+4n2+4n−14) \big(n^2 + 2n + 2\big) \, \Big| \, \big(n^3 + 4n^2 + 4n - 14\big)(n2+2n+2)∣∣∣(n3+4n2+4n−14) Find the sum of all integers nnn such that the above holds true.
Notation: a∣ba \mid ba∣b means aaa is a factor of bbb.
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