
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
A soccer goalkeeper practices shuttle running. Starting from the goalkeeper position, running forward is recorded as a positive number, and running backward is recorded as a negative number. His practice records are as follows (unit: meters): +5, -3, +10, -8, -6, +13, -10.
$(1)$ Did the goalkeeper return to the goalkeeper position at the end?
$(2)$ What is the farthest distance the goalkeeper moved away from the goalkeeper position?
$(3)$ How many times did the goalkeeper move more than 10 meters away from the goalkeeper position?

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