
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 \( p, q, r \):

\( x = \{-19 ; -1 ; 7\} \)

\( p = \{0 ; 1 ; 1\} \)

\( q = \{-2 ; 0 ; 1\} \)

\( r = \{3 ; 1 ; 0\} \)

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