
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
Suppose the symbol $\triangle$ represents the operation $a \cdot b - c$, where $a$, $b$, and $c$ are the numbers at the vertices of the triangle. Calculate the sum $\triangle + \triangle + \triangle$ for the three triangles with vertices (3, 4, 5), (1, 2, 4), and (2, 5, 6).

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