
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
Point \( C \) is on segment \( AB \) with endpoints \( A(-3, 2) \) and \( B(5, 10) \). Point \( C \) is twice as far from point \( A \) as it is from point \( B \). What are the coordinates of point \( C \)?

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