
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
Let $a \triangle b$ and $a \nabla b$ denote the minimum and maximum of the numbers $a$ and $b$, respectively. For example, $3 \triangle 4=3$ and $3 \nabla 4=4$. Determine the number of possible values of $6 \triangle [4 \nabla (x \triangle 5)]$ for different natural numbers $x$.

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