
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
In the sequence 19752..., each digit, starting from the fifth, is equal to the last digit of the sum of the previous four digits. Will the following sets of digits appear in this sequence:
a) the set of digits $1234; 3269$;
b) a second occurrence of the set 1975;
c) the set 8197?

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