
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 Holloway High School, there are 20 players on the soccer team. All 20 players are taking at least one of physics or mathematics. If there are 12 players taking physics and 6 players are taking both subjects, how many players are taking mathematics?

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