
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 triangle with angles $x^\circ$, $y^\circ$, and $z^\circ$ such that $x + y + z = 180^\circ$, where $x = 90^\circ$, and $y$ and $z$ are prime numbers, find the least possible value of $w^\circ$ such that $y + z + w = 90^\circ$.

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