
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
We recorded the following conversation among sailors this year:

Cook: When I was as old as the sailor is now, I was twice as old as him.

Engineer: I am only 4 years older than the sailor.

Sailor: Only the cook's age is an odd number, and the least common multiple of our three ages is the captain's year of birth.

How old is the captain?

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