
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
For any four-digit number $m=\overline{abcd}$, if $a \lt b \lt c \lt d$ and $a+d=b+c$, then the number $m$ is called a "rising number". If we exchange the digit in the thousand's place and the digit in the ten's place of $m$ to get a new number $m'$, let $F(m)=\frac{m'-m}{99}$. Find $F\left(2457\right)$; Given $P=\overline{1xyz}$ and $Q=\overline{xt6z}$ are both "rising numbers", and $F\left(P\right)+F\left(Q\right)$ is a multiple of $7$, find the value of $Q$.

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