
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 fenced, rectangular field measures \( 30 \) meters by \( 45 \) meters. An agricultural researcher has \( 2700 \) meters of fence that can be used for internal fencing to partition the field into congruent square test plots. Additionally, a straight pathway of \( 5 \) meters width running the entire length of the field must be fenced on both sides, dividing the field longitudinally into two equal sections. The pathway fences are parallel to the width of the field. What is the largest number of square test plots into which the field can be partitioned?

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