
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
Let 1987 be expressed as a three-digit number $(x y z)_{b}$ in base $b$, and let the sum of the digits $x + y + z$ be equal to $1 + 9 + 8 + 7$. Determine all possible values of $x$, $y$, $z$, and $b$.

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