Kenneth Faried had 18 points to go with 11 rebounds and Kosta Koufos and Andre Iguodala added 15 points apiece for the Nuggets, who won their third in a row after an 0-3 start.
Gordon Hayward had 15 points to lead the Jazz, who remained winless in four road games this season. Randy Foye and Enes Kanter each added 13 points for Utah, which made only four of 23 attempts from 3-point range.
Iguodala connected on a 3-pointer to give the Nuggets a 69-49 lead with 5:14 remaining in the third quarter. But the Jazz scored eight of the next 12 points, including a three-point play by Hayward to pull to 73-57 going into the fourth.
After Foye hit a 3 to get the Jazz within 75-63, Brewer hit two 3-pointers around a layup by Alec Burks, adding a free throw following the second long-distance shot to put the Nuggets up 82-65 with 9:14 remaining.
The Jazz whittled the Nuggets' lead to 90-78 when Denver was called for goaltending on Jamaal Tinsley's layup with 4:22 remaining, only to see the Nuggets make it 96-78 after Brewer drained 3-pointers on consecutive possessions.
The Nuggets took a 53-38 lead at halftime, closing the last 7 minutes of the second quarter with a 17-2 run.
After Derrick Favors made a pair of free throws to pull Utah into a 36-all tie, Brewer drove the lane to hit a twisting layup, starting the Nuggets' second-quarter surge.
The only points in that stretch by the Jazz, who missed all nine of their 3-point tries in the first half, came on a pair of free throws by Foye with 3:30 remaining in the second. That was not nearly enough to offset a closing flourish by the Nuggets.
Ty Lawson scored on successive fast-break layups before Iguodala slammed home a dunk off an alley-oop pass from Danilo Gallinari in the waning moments of the quarter.
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