
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 that the sum of binomial coefficients in the expansion of $(x^{2}- \frac{1}{x})^{n}$ is greater than the sum of binomial coefficients in the expansion of $(3a+2b)^{7}$ by 128.

(1) Find $n$.
(2) Find the term with the largest coefficient in the expansion of $(x^{2}- \frac{1}{x})^{n}$ and the term containing $x^{7}$.

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