-대요 and -래요. 대요 is short for -다고 해요(says that...), and 래요 for -라고 해요(tell someone that... or tell someone to...). 선생님이 저한테 공부해야 된댔어요. The teacher told me that I have to study. 제 동생이 숙제해야 된대요. My brother/sister said that he/she should do homework. 내일 비온대요. (they told) that it would rain tomorrow. 친구가 아프대요. My friend says that s/he is sick. 없대요. (s/he says) there's not such thing. 친구가 나보고 거기 가래요. My friend told me to go there. 이 시계가 비싸다고 사지 말래요. (s/he told) me not to buy this watch, saying that it's expensive.

For reporting speech in Korean, you use the '-다' style for the subordinate clause (i.e., what's being reported), then add "-고' plus a verb indicating the reporting (i.e., said, asked, etc.). For example, "The teacher told me that I have to study" would work like this: I have to study -> 내가 공부해야 한다 that I have to study -> 내가 공부해야 한다고 The teacher told me that I have to study -> 선생님이 내가 공부해야 한다고 말했어요. "She says she can't go to the party" would work like this: She can't go to the party -> 그녀는 파티에 갈 수 없다 that she can't go to the party -> 그녀는 파티에 갈 수 없다고 She says she can't go to the party -> 그녀는 파티에 갈 수 없다고 해요. For the verb doing the reporting, it doesn't have to be in the '-요' style. Any style is fine, but when indirectly quoting or reporting something, the thing that's being reported is always in the '-다' style. Take an example that's not a statement. "He asked me what I ate" would work like this: What did I eat? -> 내가 무엇을 먹었냐? What did I eat (as an indirect quote) -> 내가 무엇을 먹었냐고 He asked me what I ate -> 그는 내가 무엇을 먹었냐고 물었어요. Or a command: "Jong Eun told me to go" would work like this: 종은이는 나한테 가라고 했어요. FYI, I'm trying to keep the examples a little simple to illustrate the structure so the Korean versions aren't necessarily the most natural way to say the English. Hope that helps.