
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
Consider two arithmetic sequences. The first sequence starts with the first term $3$ and has a common difference of $8$. The second sequence begins with the first term $5$ and has a common difference of $9$. What is the largest number common to both sequences within the range of $1$ to $200$?

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