
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
The numbers \( x \) and \( y \) satisfy both of the equations
\[ 23x + 977y = 2023 \]
and
\[ 977x + 23y = 2977. \]

What is the value of \( x^2 - y^2 \)?

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