
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 with 100 students, each student takes either mathematics, physics, or both. The mathematics class is four times as large as the physics class, and 10 students are taking both classes. How many people are in the mathematics class?

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