
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
$V, W, X, Y, Z$ are 5 digits in base-5. The three base-5 three-digit numbers $(V Y Z)_{5}, (V Y X)_{5}, (V V W)_{5}$ form an arithmetic sequence with a common difference of 1. In decimal, what is the value of the three-digit number $(X Y Z)_{5}$?

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