
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 point \(Q(c,d)\) in the \(xy\)-plane is first rotated counterclockwise by \(180^\circ\) around the point \((2,3)\) and then reflected about the line \(y = x\). The image of \(Q\) after these transformations is at \((1, -4)\). What is \(d - c\)?
A) 3
B) 5
C) 6
D) 7
E) 9

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