
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 circular coin \(A\) is rolled, without sliding, along the circumference of another stationary circular coin \(B\) with radius twice the radius of coin \(A\). Let \(x\) be the number of degrees that the coin \(A\) makes around its center until it first returns to its initial position. Find the value of \(x\).

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