
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
A rectangular field measures $30$ meters by $60$ meters. An agricultural researcher has 2500 meters of fence available for internal fencing to create congruent square test plots. The entire field must be partitioned, and the sides of the squares must be parallel to the edges of the field. Determine the largest number of square test plots into which the field can be partitioned using all or some of the available fencing.

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