
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

Write the decomposition of the vector $x$ in terms of the vectors $p, q, r$:

$x=\{-5 ;-5 ; 5\}$

$p=\{-2 ; 0 ; 1\}$

$q=\{1 ; 3 ;-1\}$

$r=\{0 ; 4 ; 1\}$

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