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1 solution
1 1 5 ≡ 1 ( m o d 1 9 ) . So, 1 1 5 9 6 ≡ 1 ( m o d 1 9 ) .
Similarly, 9 6 ≡ 1 ( m o d 1 9 ) . So, 9 6 1 1 5 ≡ 1 ( m o d 1 9 ) .
Therefore, 1 1 5 9 6 − 9 6 1 1 5 ≡ 1 − 1 ≡ 0 ( m o d 1 9 ) .