
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
When the 13th term of an arithmetic progression is divided by the 3rd term, the quotient is 3. When the 18th term is divided by the 7th term, the quotient is 2 with a remainder of 8. Determine the common difference and the first term of the progression.

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