
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 the experiment of rolling a six-sided die. The events are defined as follows:
- \( A_k (k=1,2,3,4,5,6) \) - "rolling \( k \) points",
- \( A \) - "rolling an even number of points",
- \( B \) - "rolling an odd number of points",
- \( C \) - "rolling a number of points that is a multiple of three",
- \( D \) - "rolling a number of points greater than three".

Express the events \( A, B, C \), and \( D \) in terms of the events \( A_k \).

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