
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 found the following:
- $90$ had high blood pressure,
- $60$ had heart trouble,
- $30$ had both high blood pressure and heart trouble,
- $10$ had diabetes,
- $5$ had both diabetes and heart trouble,
- $8$ had both diabetes and high blood pressure,
- $3$ had all three: high blood pressure, heart trouble, and diabetes.

Calculate the percentage of teachers who had none of these conditions.

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