I guess guitarplayer729 was talking about jam tracks.
You can Google for it and find it in a many different styles of music... A lot of fun to jam with them if you know how to improvise solos.
I found a handful of Joe Satriani, Andy Timmons and Steve Vai backing tracks on Ares (a P2P file sharing software). Let me know if you need them. Can send it via mail.
For basic speed building, you need to get comfortable with your technique first. To do that, learn a few good solos and get used to making them sound good. That will tighten up your picking, timing and finger strength.
For more advanced speed building, you can practice small scale fragments to a metronome and gradually speed up. That is a long and painful process so get the basic part right first...
About breaking strings while bending - it might not be due to incorrect bending. It could be due to old/rusty strings, too much tension on the string (if you have tuned it too high or use the wrong string gauge) or bad bridge saddles on the guitar.
When buying strings, get a set of good, reliable strings. I use D'Addario .009 gauge strings. They last a fair amount of time and are not overly expensive.
Hope at least some of the info here was helpful...
-- My current rig
Guitar: '98 MIJ Ibanez RG520 QS w EMG 81/60
Amp: Laney LC15R Tube, Fernandes 20W SS
Pedals: MI Audio Tube Zone Overdrive, Boss OD3, CS3, MT2, HM2, DS2, CE5, DD7, TU3, Beta Aivin DD2 Delay, Dunlop Crybaby 95Q, Stranger Vol Pedal, BBE SupaCharger
Others: Yamaha RBX 374 Bass, Yamaha MM-6 Synth, M-Audio Fast Track, Shure SM-57, Heet Sound E-Bow Plus
Wanted(pm if selling): EB VPJr/Boss FV500L,Ibanez w Original/Lo-Pro Edge