pick someone's brains

Advise with sb. on sth.

同某人商量某事，就某事请教某人

consult sb. on an equation

请教某人一个方程式

ask a favor of a person

请某人帮忙,求助于某人

extend hospitality, an invitation, a greeting to sb

款待、 邀请、 问候某人

a warm invitation to stay with sb

热情邀请与某人同住

at a person's bidding

在某人的要求 [邀请] 之下

make a request or demand for something to somebody.

为了某物向某人请求或者命令。

A spoken or written request for someone's presence or participation.

邀请请某人出席或参加的口头或书面请帖

give sb lessons or instruction(in a particular subject);teach sb

给某人讲授（某学科的）课程;给某人（某学科的）指导;教某人

a commercial document used to request someone to supply something in return for payment.

请求某人为某种支付提供货物的商业文件。

Ask sb, esp politely, in speech or writing to do sth

（以口头或书面形式）要求，（尤指）请求某人做某事

Lecture at sb.

[口]严词教训某人，训斥某人

write a petition for something to somebody; request formally and in writing.

为了某物写一份请求给某人；正式请求或者以书写形式。

The people came to appeal for some help from the government.

人们向政府请求某些支助。

scorn sb's invitation, advice, offer

轻蔑地回绝某人的邀请、 劝告、 好意.

Presume on sb's good nature, eg by asking for help

利用某人的好心肠（如请求帮助）

Set sb. up to a meal and a new suit

请某人吃一餐饭并送他一套新衣服

get [have] one's passport visaed (by a consular officer)

(请领事馆员) 在某人护照上签证