
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let \(a\) be a 3-digit number. If the 6-digit number formed by putting \(a\) at the end of the number 504 is divisible by 7, 9, and 11, find the value of \(a\).

Present the answer in LaTex format: \boxed{Your answer}
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