
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 recent poll showed that 55% of men and 80% of women are in favor of a new education policy. The study surveyed 200 men and 800 women. What was the overall percentage of the people surveyed who supported the new education policy?

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