
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
Diophantus spent one-sixth of his life in childhood, one-twelfth in his youth; after one-seventh spent in childless marriage, and an additional 5 years, he had a son who died after reaching half the number of his father's years, after which Diophantus lived only 4 more years. How old was Diophantus when he died?

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