
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 line segment of length 5 lies along the number line initially between 1 and 6. The line segment is rotated 180° about the point at 2. The resulting line segment lies between -2 and 3. This segment is then rotated 180° about the point at 1. Determine the new position of the line segment.

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