18 is a common factor

Algebra Level 4

Find the remainder of

187+(7)(186)+(21)(185)+(35)(184)+(35)(183)+(21)(182)+7(18)+1819\large{\frac{18^7 + (7)(18^6) + (21)(18^5) +(35)(18^4) + (35)(18^3) + (21)(18^2) +7(18) +18}{19}}.

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