
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
Triangle $DEF$ has vertices $D(3, -1)$, $E(-2, 4)$, and $F(-1, -1)$. This triangle is first reflected over the $x$-axis, and then over the line $y=x$. What are the coordinates of point $F'$ after these transformations?

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