
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
Each letter in the words EH and MOPOZ corresponds to a certain digit, with the same digits corresponding to the same letters, and different digits corresponding to different letters.

It is known that E$\cdot$H $=$ M $\cdot \mathrm{O} \cdot \mathrm{P} \cdot \mathrm{O} \cdot 3$, and E $+\mathrm{H}=\mathrm{M}+\mathrm{O}+\mathrm{P}+\mathrm{O}+$ 3. What is the value of $E \cdot \mathrm{H}+\mathrm{M} \cdot \mathrm{O} \cdot \mathrm{P} \cdot \mathrm{O} \cdot 3$?

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