
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
$\star + \square = 24$, $\square + \bullet = 30$, $\bullet + \star = 36$. Find the values of $\square$, $\bullet$, and $\star$.

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