
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
\[f(x)=\cos(x^3-4x^2+5x-2).\]
If we let  $f^{(k)}$  denote the  $k$ th derivative of  $f$ , compute  $f^{(10)}(1)$ . For the sake of this problem, note that  $10!=3628800$ .

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