
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 number of distinct points common to the graph of $x^2 + y^2 = 16$ and $y = x^2 - 4$ is:
**A)** 0  
**B)** 1  
**C)** 2  
**D)** 3  
**E)** 4

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