
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
Consider triangle $PQR$ with vertices at $P(4, -3)$, $Q(1, 0)$, and $R(0, -5)$. This triangle is first reflected over the x-axis, then reflected over the y-axis, and finally reflected over the line $y=x$. What are the coordinates of point $R'$ after these transformations?

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