
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 2019, a team, including professor Andrew Sutherland of MIT, found three cubes of integers which sum to 42:
$$
42=\left(-8053873881207597 \_\right)^{3}+(80435758145817515)^{3}+(12602123297335631)^{3}
$$

One of the digits, labeled by an underscore, is missing. What is that digit?

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