
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
Given a pair of numbers \(x\) and \(y\), a certain number \(x^{*} y\) is associated. Find \(1993^{*}1935\), given that for any three numbers \(x, y, z\) the identities \(x^{*} x=0\) and \(x^{*}\left(y^{*} z\right)=\left(x^{*} y\right)+z\) hold.

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