Find the largest five-digit palindrome that is divisible by 6.  (A palindrome is a number that reads the same forwards and backwards, like 514415 or 131.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the largest five-digit palindrome that is divisible by 6.  (A palindrome is a number that reads the same forwards and backwards, like 514415 or 131.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
89898
Find the largest five-digit palindrome that is divisible by 6.  (A palindrome is a number that reads the same forwards and backwards, like 514415 or 131.)
train