
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
There is a problem: "Calculate the value of $\frac{{x}^{2}-2x+1}{{x}^{2}-1}\div \frac{x-1}{{x}^{2}+x}-x$, where $x=2004$." Student A mistakenly copied "$x=2004$" as "$x=2040", but his calculation result was still correct. What do you think happened?

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