To make the sentences in the negative, you just have to add the negative:
do-don't, does-doesn't, am-am not, is-isn't, are-aren't, did-didn't, was-wasn't, were-weren't, have-haven't, has-hasn't, had-hadn't, can-can't, could-couldn't , will-won't and would-wouldn't
"I didn't spread the rumours about you" he said. = He said he hadn't spread the rumours about me/us.