
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
All triangles have the same value, and all circles have the same value. Determine the sum of two circles and a triangle. The equations are as follows:
\begin{align*}
\Delta + 3 \bigcirc &= 18 \\
2 \Delta + \bigcirc &= 14 \\
\Delta + 2 \bigcirc &= \ ?
\end{align*}

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