
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 fertilizer factory produced 500 tons of fertilizer in April last year. Due to poor management, the output decreased by 20% in May. From June onwards, with strengthened management, the output increased month by month, and the output reached 576 tons in July. What is the average monthly growth rate of the output in June and July?

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