
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 35 students, everyone participates in math and history classes. Ten students received an A in history and 15 received an A in math, including five that received an A in both courses. How many students did not receive an A in any of these two courses?

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