
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
If the graph of $x^2+y^2=4m$ is tangent to that of $2x+y=2\sqrt{m}$, determine the possible value of $m$.
A) $m = 0$
B) $m = 1$
C) $m = \frac{1}{5}$
D) $m = 5$

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