
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 the definition: $A_x^m = x(x-1)\ldots(x-m+1)$, where $x \in \mathbb{R}$, $m$ is a positive integer and $A_x^0 = 1$, this is a generalization of the permutation number $A_n^m$ (with $n$, $m$ as positive integers, and $m \leq n$), calculate $A_{-9}^3$.

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