
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
For any two sets $A$ and $B$, define $A - B = \{x \mid x \in A \text{ and } x \notin B\}$, $A \ast B = (A - B) \cup (B - A)$. Let $A = \{y \mid y \geq 0\}$ and $B = \{x \mid -3 \leq x \leq 3\}$, find $A \ast B = \_\_\_\_\_\_.$

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