
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
For an arithmetic sequence $b_1$, $b_2$, $b_3$, ..., let
\[U_n = b_n + b_{n-1} + \dots + b_1,\]and let
\[V_n = U_1 + U_2 + U_3 + \dots + U_n.\]Suppose you are told the value of $U_{2023}$, and further, you know the last term $b_{2023}$ of the sequence. Determine the value of $b_1$.

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