Chambers scored from the 1 as the first quarter ended, boosting Wyoming (5-2, 2-1 Mountain West Conference) to a 7-0 lead and the Cowboys never trailed.
Valladay was the workhorse, pounding out 187 yards on 33 carries, his 3-yard touchdown run staking the Cowboys to a 13-0 lead in the third quarter after the point-after kick failed.
Chambers passed to Josh Hartman for a 15-yard score and Cooper Rothke added a 36-yard field goal, both in the fourth quarter. Chambers passed 9 of 15 for 86 yards.
Valladay and Chambers each rushed for more than 100 yards, Chambers gaining 117, and Wyoming out-gained New Mexico 259 to 169.
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