
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]


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In a club with 60 students, 40 take math, 30 take physics, and 25 take chemistry. 18 students take both math and physics, 10 take both physics and chemistry, and 12 take both math and chemistry, while 5 students take all three subjects. How many students take neither math, physics, nor chemistry?

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