
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
The school has 90 teachers. Among them, 66 teachers like to drink tea, 42 teachers like to drink coffee, and the number of teachers who like both beverages is exactly three times the number of teachers who like neither beverage. How many teachers at the school like at least one of the two beverages, tea or coffee?

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