
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
Simplify the following expression:
\\(\dfrac{C\_m^m + 2C\_{m+1}^m + 3C\_{m+2}^m + \dots + nC\_{m+n-1}^m}{C\_{m+n}^{m+1}}\\)
(where $m$ and $n$ are positive integers)

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