
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
In the base $r$ number system, the number $1000$ m.u. means $1 \times r^3$, and the number $440$ m.u. means $4 \times r^2+4 \times r +0 \times r^0$, so the number $340$ m.u. means $3 \times r^2+4 \times r +0 \times r^0$. Find the base $r$.

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