Been shooting up the Squaw Peak Rd in Provo Canyon since about 1998, but in my opinion, those areas needed to be closed to shooting. Most of them were unsafe with people shooting just yards away from the main rd. while traffic drives by, many of those areas are either on mountain bike/hiking trails or right near them and the biggest reason they needed to be shut down was because of all the junk that people would leave in these areas after shooting stuff up. That would eventually get any area shut down and it has. I used to shoot all the in the gravel pit up the hill in Springville near the Chevron gas station with the McDonald's in it, but that was shut down to shooting as well.
Now....the Provo Squaw Peak Range is open every Wed. afternoon/night and every Saturday (usually 8am-5pm or so) and only costs $2 if there is a Provo city volunteer rangemaster to collect your money. If you need to shoot there at other times of the week, there are 2 options: 1) reserve the range through Provo City Parks and Rec., costs $10 per use with a refundable $50 key deposit but you can host large groups at the range for that same price. 2) sign up to become a volunteer rangemaster and you get a key and free use the of the range (this is what I did). They require to work the range only 4 times a year to get these benefits. If you need to go the range sometime, PM me and I'll let you know when I'll be up there to open the gate for you. A group of us practice up there most Thursday afternoons (we of course lock the gate behind us)
You can also shoot up the right fork of Hobble Creek Canyon in Springville just a few miles up there is a large gravel pit on the left where tons of people shoot, BLM land so it's legal. Another option is the Utah County Sheriff's range at Thistle, UT, it is supposed to be open to the public every Saturday and offers a ton of different ranges.
I also used to shoot on the west side of Utah Lake like everyone else but I will not do it, it is just too dangerous with so many yahoo's out there.