
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
Writing  $1989$  in base  $b$ , we obtain a three-digit number:  $xyz$ . It is known that the sum of the digits is the same in base  $10$  and in base  $b$ , that is,  $1 + 9 + 8 + 9 = x + y + z$ . Determine  $x,y,z,b.$  

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