
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 physics, mathematics, or both. The physics class is twice as large as the mathematics class, and 10 students are taking both subjects. How many people are in the physics class?

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