
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
The equation of circle A is $x^2+y^2-2x-2y-7=0$, and the equation of circle B is $x^2+y^2+2x+2y-2=0$. Determine whether circle A and circle B intersect. If they intersect, find the equation of the line passing through the two intersection points and the distance between these two points; if they do not intersect, explain why.

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