
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 school club of 80 students, 50 take mathematics, 40 take physics, 25 students take both mathematics and physics, and 10 students take chemistry but neither mathematics nor physics. How many students take neither mathematics, physics, nor chemistry?

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