
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
15 students are taking both algebra and drafting. There are 30 students taking algebra. There are 14 students who are taking drafting only, along with 8 students taking geometry only, and 5 students are taking both geometry and drafting but not algebra. How many students are taking algebra or drafting but not both?

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