
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 $( \sqrt[3]{x}+x^{2})^{2n}$, the sum of the coefficients of its expansion is greater than the sum of the coefficients of the expansion of $(3x-1)^{n}$ by $992$. Find in the expansion of $(2x- \frac {1}{x})^{2n}$:  
$(1)$ The term with the largest binomial coefficient;  
$(2)$ The term with the largest absolute value of the coefficient.

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