
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 certain school, there are 120 students in the sixth grade. The total number of students participating in sports, literature, and mathematics interest groups is 135. Among them, 15 students participated in both the sports and literature interest groups, 10 students participated in both the sports and mathematics interest groups, 8 students participated in both the literature and mathematics interest groups, and 4 students participated in all three interest groups. Calculate the number of students who did not participate in any of the three interest groups.

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