
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
Given the binomial expansion of $(\frac{2}{\sqrt[3]{x}} + \sqrt{x})^n$, where the constant term is the fifth term, find:
1. The value of $n$;
2. If the sum of all coefficients in the expansion is $A$, find the value of $\sqrt[10]{A}$;
3. The term with the maximum coefficient in the expansion.

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