>>100869441TATP is an explosive that can be made using hardware store acetone and hydrogen peroxide. Buying either of these things in mass quantities isn't suspicious in the least, and the material has been widely used in suicide vests but fell out of favor because it's shock sensitive.
Making the explosive involves two steps:
(1) mix hydrogen peroxide and acetone in a bath of ice water
(2) filter the powder out, form it to shape, and let it dry
Because it is shock sensitive detonation is trivial. Because it is easy to obtain and make the difficulty is minimal. Moreover, if you're capable of sneaking into the location where you plan to use them and can rig up some form of timer, you can execute an attack without putting yourself in danger.
Just have to find a autistic high-school kid that has the wherewithal to look that shit up and a few hundred bucks to throw at raw materials and you have 50+ casualties easily.