
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
In the ancient book "Algorithm Collection", there is a poem about how ancient people measured fields: "Yesterday, after measuring the field and returning home, I remembered that the length was a whole number of $30$ steps. The sum of the width and the diagonal was $50$ steps. I don't know how many acres the field is. Please help me calculate. How many acres is the field? $(1$ acre $=240$ square steps).

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