
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
In a summer camp, there are 25 students participating in activities including swimming, dancing, painting, and cooking. Each student must participate in at least one activity but may participate in two or more. There are 14 students participating in swimming, 15 in dancing, 10 in painting, and 6 in cooking. A total of 12 students are participating in at least two activities. Determine the number of students participating in all four activities.

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