
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
To enhance the students' ability to quickly change direction in football matches, Teacher Zhang designed a shuttle run training. Teacher Zhang drew a straight line on the football field in the east-west direction and placed different turning flags. If it is agreed that west is positive and east is negative, the movement records of a set of shuttle runs are as follows (unit: meters): +40, -30, +50, -25, +25, -30, +15.
$(1)$ In which direction from the starting point did the student finally arrive? How far from the starting point?
$(2)$ How many meters did the student run in a set of exercises?
$(3)$ How far was the farthest point from the starting point during the student's training?

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