
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
The minimum element of the set of positive integers $A_k$ is 1, the maximum element is 2007, and all elements can be arranged in ascending order to form an arithmetic sequence with a common difference of $k$. Then, the number of elements in the union $A_{17} \cup A_{59}$ is ____.

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