
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
Read the following text and answer the questions:<br/>$\because \sqrt{1}＜\sqrt{2}＜\sqrt{4}$, which means $1＜\sqrt{2}＜2$,<br/>$\therefore$ The integer part of $\sqrt{2}$ is $1$, and the decimal part is $\sqrt{2}-1$.<br/>Please answer:<br/>$(1)$ The integer part of $\sqrt{33}$ is ______, and the decimal part is ______;<br/>$(2)$ If the decimal part of $\sqrt{143}$ is $a$, and the integer part of $\sqrt{43}$ is $b$, find the value of $a+|2b-\sqrt{143}|$;<br/>$(3)$ Given: $10+\sqrt{5}=2x+y$, where $x$ is an integer, and $0 \lt y \lt 1$, find the opposite of $x-y$.

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