
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 $$( \frac {3}{ \sqrt {a}}- \sqrt[3]{a})^{n}$$, the sum of the coefficients of its expansion is equal to the constant term in the expansion of $$(4 \sqrt[3]{b}- \frac {1}{ \sqrt {5b}})^{5}$$. Find the binomial coefficient of the term containing $$\frac {1}{a}$$ in the expansion of $$( \frac {3}{ \sqrt {a}}- \sqrt[3]{a})^{n}$$.

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