
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 sets $M=\{1,2,3,4,5\}$, $L=\{-1,2,3,5,7\}$.

(1) Use the listing method to represent the set $A=\{x|x\in M, \text{ and } x\notin L\}$;  
(2) Let $N$ be a non-empty proper subset of $M$, and if $a\in N$, then $6-a\in N$. List all such sets $N$;  
(3) It is known that the number of non-empty subsets of $M$ is 31, denoted as $N_1, N_2, N_3, \ldots, N_{31}$. Calculate the sum of the elements in each subset, denoted as $n_1, n_2, n_3, \ldots, n_{31}$, respectively. Calculate the value of $n_1+n_2+n_3+\ldots+n_{31}$.

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