What is the remainder when $289 + 9 \cdot 51 + 3^6 + 4 \cdot 187$ is divided by $17$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the remainder when $289 + 9 \cdot 51 + 3^6 + 4 \cdot 187$ is divided by $17$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
15
What is the remainder when $289 + 9 \cdot 51 + 3^6 + 4 \cdot 187$ is divided by $17$?
train