I wrote a program to balance arbitrary chemical equations using a series of ridiculous hacks. First, I parsed chemical compounds (like CO2 and H2(CO2)3, notice the nesting) by running through them char-by-char and translating them into expressions and then "eval"ing them: "CO2" -> e.C + 2 e.O (where e.C and e.O are free symbols). Then, I used the feature where you can type "X + Y | X=3, Y=5" to get 8 to extract the coefficients from the expression which I then shoved into a matrix and solved the system of equations. If you look at the code, you'd vomit, but it was a night of furiously typing on the abcdef keyboard that I will never forget.
I never actually used it in class because during this process I became so quick at balancing the simple equations they would give us that it took longer to type them in than simply doing it in my head.
One of my fondest memories with the TI was a chemistry instructor saying that we were completely free to use any programs we wanted on examinations -- as long as we coded the programs ourselves. This inspired me to create a fairly comprehensive TI chemistry formula program, and my mates did likewise. It was really a forward-thinking move that contrasted strongly with just a blanket ban, as instead it fostered creativity. It is sad to me that future generations will not be able to experience this.