
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 Riverdale Academy, there are 15 players on the soccer team. All 15 players are taking at least one of physics, chemistry, or biology. If 8 players are taking physics, 6 players are taking chemistry, 3 players are taking all three subjects, and 4 players are taking both physics and chemistry, how many players are taking biology?

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