
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
Determine the real number equivalent to the expression \( 3 + \frac{5}{2 + \frac{5}{3 + \frac{5}{2 + \cdots}}} \), where the series alternates between \( 2 \)s and \( 3 \)s.

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