These are Technical Machines, and can only used ONCE and only on ONE monster. You can get these from defeating gym leaders, or trainers.
TM1 Mega Punch
TM2 Razor Wind
TM3 Swords Dance
TM4 Whirlwind
TM5 Mega Kick
TM6 Toxic
TM7 Horn Drill
TM8 Body Slam
TM9 Take Down
TM10 Double-Edge
TM11 Bubblebeam
TM12 Water Gun
TM13 Ice Beam
TM14 Blizzard
TM15 Hyper Beam
TM16 Pay Day
TM17 Submission
TM18 Counter
TM19 Seismic Toss
TM20 Rage
TM21 Mega Drain
TM22 Solarbeam
TM23 Dragon Rage
TM24 Thunderbolt
TM25 Thunder
TM26 Earthquake
TM27 Fissure
TM28 Dig
TM29 Psychic
TM30 Teleport
TM31 Mimic
TM32 Double Team
TM33 Reflect
TM34 Bide
TM35 Metronome
TM36 Self Destruct
TM37 Egg Bomb
TM38 Fire Blast
TM39 Swift
TM40 Skull Bash
TM41 Softboiled
TM42 Dream Eater
TM43 Sky Attack
TM44 Rest
TM45 Thunder Wave
TM46 Psywave
TM47 Explosion
TM48 Rock Slide
TM49 Tri Attack
TM50 Substitute
These are hidden machines they can be used as many times as you want.
HM1 Cut
HM2 Fly
HM3 Surf
HM4 Strength
HM5 Flash