
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
The sum of four numbers $p, q, r$, and $s$ is 100. If we increase $p$ by 10, we get the value $M$. If we decrease $q$ by 5, we get the value $M$. If we multiply $r$ by 10, we also get the value $M$. Lastly, if $s$ is divided by 2, it equals $M$. Determine the value of $M$.

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