
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
Phoenix hiked the Canyon Trail in five days. Over the first three days, she hiked a total of 36 miles. The second, third, and fourth days she averaged 14 miles per day. The last three days, she hiked a total of 45 miles. The total hike for the first and fourth days was 29 miles. How long was the Canyon Trail in total?

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