
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
Let $A = \{x | mx^2 + x + m = 0, m \in \mathbb{R}\}$, and the intersection of set A and the real numbers is empty, $A \cap \mathbb{R} = \emptyset$. Then, the range of the real number $m$ is ________.

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