
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 of 40 students, 18 said they liked apple pie, 15 said they liked chocolate cake, and 12 said they did not like either. Calculate the number of students in the class who liked both apple pie and chocolate cake.

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