
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 students who report that out of 30 people taking either Mathematics or Science, they are the only two taking both subjects. Liz, who loves numbers, mentions there are exactly three times as many students in the Mathematics class as there are in the Science class. Determine how many students are taking Mathematics but not Science.

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