
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
Max and Liz are again discussing their language classes, saying, "Of the 30 people taking either English or French, we are the only two taking both." Liz notes that there are exactly three times as many people in the English class as there are in the French class. How many people are taking English but not French?

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