
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 the set $M=\{-2/3,5/4,1,4\}$, let $M\_1$, $M\_2$, $...$, $M\_{15}$ represent all the non-empty subsets of set $M$ in order. Define $m\_1$, $m\_2$, $...$, $m\_{15}$ as the product of the elements within each subset. If a subset contains only one element, its product is the element itself. Calculate the sum $m\_1+m\_2+...+m\_{15}=$\_\_\_\_\_\_\_\_.

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