
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
Let \( b_1, b_2, \dots, b_{2021} \) be a strictly increasing sequence of positive integers such that 
\[
b_1 + b_2 + \cdots + b_{2021} = 2021^4.
\]
What is the remainder when \( b_1^3 + b_2^3 + \cdots + b_{2021}^3 \) is divided by 5?
A) 0  
B) 1  
C) 2  
D) 3  
E) 4

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