
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
Consider a list of numbers consisting of all integers from $1$ to $1000$, followed by all integer cubes from $1^3$ to $1000^3$, and further followed by all even numbers from $2$ to $2000$. What is the median of this new list of numbers?
**A)** $499.5$
**B)** $500$
**C)** $500.5$
**D)** $501$
**E)** $502$

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