
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
Returning from the Palace of Sports, Nina and her coach had the following dialogue:

- Do you have a brother?
- I have three brothers, - Nina replied.
- What are their ages?
- The product of the numbers representing their ages is 36, and the sum equals the number on that bus over there at the stop.

After looking at the bus number, the coach said that this information was not enough for him.

- The eldest one also loves sports, - added Nina.
- Now I know how old each of them is, - said the coach and accurately named each boy's age.

What are the ages of Nina's brothers?

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