
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
$(1)$ The square root of a non-negative number is $2a-1$ and $a-5$, what is this non-negative number?<br/>$(2)$ Given that $a-1$ and $5-2a$ are both square roots of $m$, find the values of $a$ and $m$.

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