Add punctuation: The centre also organizes guided tours throughout the year in various languages so that you can enjoy the authentic atmosphere
A: The centre also organizes guided tours throughout the year in various languages so that you can enjoy the authentic atmosphere.

Add punctuation: Primary income other primary income subsidies
A: Primary income, other primary income, subsidies

Add punctuation: Dqk can be replaced by qk1 for any q Thus the LHS of the above equation is nmk1
A:
D(qk) can be replaced by q%(k-1) for any q. Thus the LHS of the above equation is (n+m)%(k-1).