
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 120 students, 70 take mathematics, 50 take chemistry, and 40 take biology. 30 students take both mathematics and chemistry, 20 take both chemistry and biology, and 10 take both mathematics and biology. 5 students study all three subjects. How many club students are enrolled in none of these subjects?

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