
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
Of the 60 students in the robotics club, 42 take mathematics, 35 take physics, and 15 take computer science. 25 students take both mathematics and physics, 10 take both mathematics and computer science, and 5 take both physics and computer science. Four students take all three subjects. How many robotics club students take neither mathematics, physics, nor computer science?

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