
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
Given that $a$ is a real number, if the set $\{x \mid ax=1\}$ is a subset of any set, then the value of $a$ is ____. Let set $A=\{x \mid -1 < x < 4\}$, and $B=\{x \mid 2 < x < 6\}$, then $A \cap B$ = ____.

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