
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
Fifteen students are taking both Geometry and History. There are 30 students taking Geometry. There are 15 students who are taking History only. Additionally, 8 students are taking both Geometry and Science, with 10 students taking Science only. How many students are taking Geometry or History or Science but not a combination of these subjects?

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