The question seeks a single word equivalent for the phrase "Speak falsely with deliberate intent." The term "equivocate" best fits this description. Here's a breakdown of the options provided:
- Repudiate: This means to reject or deny the validity of something. It does not convey the sense of speaking falsely with intent.
- Prevaricate: This means to avoid telling the truth by not directly answering a question. While it involves deceit, it lacks the direct intent of speaking falsehood.
- Disparage: This means to belittle or criticize someone or something. It doesn't align with the notion of deliberate false speech.
- Equivocate: This means to use ambiguous language with the intent to deceive or avoid the truth, perfectly matching the requirement of deliberately speaking falsely.
Therefore, the correct answer is equivocate.