
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
Consider the case where all numbers are equal. \(\frac{5}{4} n + \frac{5}{4} = n\) (By solving this equation, we get the answer 5). If the first number is -5, then all numbers will be equal to -5. Similarly, all cases where the first number is equal to \(-5 + 1024n\), \( n \in \mathbb{Z} \), are also valid.

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