
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
Given the equations:
\[
1^2 - 1 = 0 \times 2 \\
2^2 - 1 = 1 \times 3 \\
3^2 - 1 = 2 \times 4 \\
4^2 - 1 = 3 \times 5
\]
find the positive value of \( A \) that satisfies:
\[
A^2 - 1 = 3577 \times 3579
\]

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