
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
A lieutenant is training recruits in formation drills. Upon arriving at the parade ground, he observed that all the recruits were arranged in a number of rows, with the number of soldiers in each row being the same and 5 more than the number of rows. After the training session, the lieutenant decided to form the recruits again but could not remember how many rows there were. He then ordered them to line up so that the number of rows equaled his age. It turned out that once again, the soldiers were evenly distributed among the rows, but this time there were 4 more soldiers per row than in the original formation. How old is the lieutenant?

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