
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
Find the coefficient of the term \(a_{1}^{k_{1}} a_{2}^{k_{2}} \cdots a_{m}^{k_{m}}\) in the expansion of \(\left(a_{1}+a_{2}+\cdots+a_{m}\right)^{n}\), where \(k_{1}+k_{2}+\cdots+k_{m}=n\).

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