
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
Use the formula $(a^2+b^2)(c^2+d^2)=(ac+bd)^2+(bc-ad)^2$ or other methods to find a set of positive integers to fill in the blanks: $(2^2+92\times3^2)(4^2+92\times5^2)=(\quad)^2+92\times(\quad)^2$.

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