
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
If \( a > 0 \) and \( b > 0 \), a new operation \( \nabla \) is defined as follows: 
\[ a \nabla b = \frac{a + b}{1 + ab} \]
Calculate \( 3 \nabla (2 \nabla 4) \), where \( 2 \nabla 4 \) is calculated first, then its result is used in the subsequent operation with 3.

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