wild claims

你好，wild ：野生的；荒凉的；狂热的；野蛮的
claim：要求,要求权;主张,断言,声称;要求物

这个词语可以理解为，虚假的声明,夸张地声称……按具体语境的不同作不一样的理解。
比如：Addressing opposition, President Obama referred to what he called scare tactics rather than honest debate, and wild claims by Republicans that reform plans would lead to a government takeover of health care.

翻译：美国总统奥巴马在向反对派讲话时说，共和党采用了恐吓战术，而不是真诚辩论，而且夸张地声称，健保改革计划会导致政府掌控健保事务。

再如：They have so much integrity that they don't make wild claims.
他们是如此真诚,从不做虚假的声明.

胡吹，夸大其辞