
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
An arithmetic sequence is a sequence of numbers in which the difference between each number and the previous one is constant; this difference is called the common difference. (For example, 2, 8, 14, 20, 26, 32 is an arithmetic sequence with a common difference of 6.)

Bolek and Lolek each had their own arithmetic sequence. Both Bolek's and Lolek's sequences started with the number 2023 and ended with the number 3023. These two sequences had 26 common numbers. The ratio of Bolek's to Lolek's common difference was $5: 2$.

Determine the difference between Bolek's and Lolek's common difference.

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