
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
Let $a*b = a \times b + a + b$, for example: $9*2 = 9 \times 2 + 9 + 2 = 29$; also let $n! = 1 \times 2 \times 3 \times \ldots \times n$ (where $n$ is a natural number), for example: $5! = 1 \times 2 \times 3 \times 4 \times 5 = 120$. Then, what is $10! - 1*2*3*4*5*6*7*8*9$?

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