
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
If the numbers \(a^5\) and \(b^5\) (with \(a > 0\) and \(b > 0\)) have the same units digit, then \(a - b\) is divisible by 10. Find the numbers \(a\) and \(b\) if \(a^2 - b^2 = 1940\). Under the same conditions, find \(a\) and \(b\) if \(a^2 - b^2 = 1920\).

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