For me/us, rolling the dice is part of the game...
We always roll all the dice, and if there aren't enough dice, roll the same dice more than once.
Most of the time, you get a just-above-average or just-below-average result, but once in a while you get the 'crit' or 'fumble' result: 6 damage on 6d6, when you really needed that fireball to take out the swarms that have incapacitated all your allies, or 60 damage on that 10d6 roll that just about takes out the minions, leaving the BBEG open for your skirmisher...
That's as much a part of the game as that natural 1 and 20 on the attack rolls and saving throws.
And yes, sometimes it is a lot of numbers to keep track of. If you have people in your group who have a problem with math, it can turn into a drag when someone is spending a lot of time calculating his attack, then his damage, only to remember too late he was power attacking, having to recalculate his attack AND his damage, then remembering he is raging/fatigued, doing the math all over again....
That, for us, is the point where someone more math-savvy steps in and helps with the calcuations.
In several groups, we have computers at the ready for several managing tasks, in one even to project the battlemap and play over a skype connection. We use online calculators to quickly determine how much XP an encounter was worth. Several of us have electronic dice programs on our SmartPhones. None of us has ever suggested using these during a game.....