
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 $p, q, r$:

$x = \{-5 ; 9 ; -13\}$

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

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

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

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