
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
Given that \(1501C - 3003A = 6006\), \(1501B + 4504A = 7507\), and \(A + B = 1\), calculate the average of A, B, and C.

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