
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
At a school, there are 75 students, each one enrolled in either mathematics or physics courses, or both. The mathematics class has twice as many students as the physics class. There are 15 students taking both subjects. How many students are in the mathematics class?

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