
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
There are 240 students participating in a large group performance. They stand in a row facing the coach, and each student counts off from left to right as $1,2,3,4, 5, \cdots$, and so on. The coach asks all students to remember their numbers and perform the following actions: 
1. First, all students whose numbers are multiples of 3 turn around.
2. Next, all students whose numbers are multiples of 5 turn around.
3. Finally, all students whose numbers are multiples of 7 turn around.

Question:
(1) How many students are still facing the coach?
(2) Among the students still facing the coach, what number does the 66th student from the left report?

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