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i got one answer !

1,2,3
or -1,-2,-3
these are nonzero integers.

oh i got a different one

Yeah I have a couple other answers too.
10, -10, 0 works.
Are there others?

if one is zero ,you can select any +,- pair

so we have to find integers b and c such that (bc-1) divides (b+c)

I feel like I see that question somewhere before

i having seen this :O