
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
Masha thought of a natural number and found its remainders when divided by 3, 6, and 9. The sum of these remainders turned out to be 15.

Find the remainder when the thought number is divided by 18.

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