
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 class, there are a total of 42 students, among whom 20 students like basketball, 25 students like table tennis, and 12 students do not like either of these two sports. Find the number of students who like basketball but do not like table tennis.

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