
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
A student is given with the digits $\{0, 1, 2, \dots, 10\}$ and tasked to find how many sets of three distinct digits from this set can form an arithmetic sequence such that the sums of the digits in each set are divisible by 4.
A) 205
B) 4
C) 8
D) 6

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