
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
Given that the passing score is 65 points, the average score of the whole class is 66 points, and the average score of all students who passed is 71 points and the average score of all students who failed is 56 points, determine the number of students in the class.

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