
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 survey of $150$ teachers determined the following:

- $90$ had high blood pressure
- $60$ had heart trouble
- $30$ had 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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