
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
Positive integers $a$, $b$, and $c$ are randomly and independently selected with replacement from the set $\{1, 2, 3,\dots, 2023\}$. What is the probability that $abc + ab + a$ is divisible by $5$?
A) $\dfrac{404}{2023}$
B) $\dfrac{6476}{50575}$
C) $\dfrac{26676}{50575}$
D) $\dfrac{20200 + 6476}{50575}$
E) $\dfrac{20200}{50575}$

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