
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
On a beautiful Sunday spring morning, the father of a family went for a walk with his sons.

- Have you noticed, - he said to them, - that the age of the oldest of you is equal to the sum of the ages of your two other brothers?
- Yes. And we also noticed - they answered in unison - that the product of our ages and your age equals the sum of the cube of the number of your sons, multiplied by a thousand, and ten times the square of this number.

Can you determine from this conversation the age of the father at the time of the birth of the second son?

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