
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]


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In a school, every student among a group of 40 participates in basketball and soccer training. Twelve students excelled in basketball and 18 excelled in soccer, including six who excelled in both sports. Determine how many students did not excel in either sport.

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