
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 cat is located at \( (15, 12) \) in a coordinate plane. A dog is at \( (3, -3) \) and runs up the line \( y = -4x + 15 \). At what point \( (c, d) \) does the dog start moving away from the cat, and what is \( c + d \)?

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