
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 health survey conducted in a school reports on 150 teachers with the following findings:
- 90 teachers have high blood pressure,
- 60 teachers have heart trouble,
- 30 teachers have both high blood pressure and heart trouble.

What percent of the teachers surveyed had neither high blood pressure nor heart trouble?

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