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1 solution
The last three digits of a number is the number in ( m o d 1 0 0 0 ) .
9 9 9 5 5 5 + 9 9 8 2 0 ( m o d 1 0 0 0 ) ≡ ( − 1 ) 5 5 5 + ( − 2 ) 2 0 ( m o d 1 0 0 0 ) ≡ − 1 + ( ( − 2 ) 1 0 ) 2 ( m o d 1 0 0 0 ) ≡ − 1 + 2 4 2 ( m o d 1 0 0 0 ) ≡ 5 7 5