
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
Calculate \( x \) if

\[ x^{2}+(2 m p+2 n q)^{2}+(2 m q-2 n p)^{2}=\left(m^{2}+n^{2}+p^{2}+q^{2}\right)^{2} \]

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