
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
To calculate the squares of numbers near 50, Ethel uses mental math. She notes that $50^2 = 2500$. To compute $49^2$, she subtracts a number from $2500$. For $51^2$, she adds 101 to $2500$. What number does she subtract to determine $49^2$?

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