From ChatGPT, 不知道能不能回答你的问题：

The difference between "to do" and "doing" lies in their grammatical roles and the contexts in which they are used.

1. **"To do" vs. "Doing":**

- "To do": This is the infinitive form of a verb, and it is often used after verbs like "want," "hope," "plan," etc., to express intention or purpose. For example, "I want to eat" or "She plans to travel."

- "Doing": This is the present participle form of a verb, which is used to create continuous verb forms (also known as the present progressive tense). It indicates an action that is ongoing or in progress at the moment. For example, "I am eating dinner."

2. **"Want to do" vs. "Consider doing":**

- "Want to do": This phrase expresses a desire or intention to perform a particular action. It's followed by the infinitive form of the verb. For example, "I want to eat ice cream."

- "Consider doing": This phrase means contemplating or thinking about doing something. It's followed by the present participle form of the verb. For example, "She is considering changing her job."

Now, addressing your specific examples:

- "Consider to do" is not commonly used. The correct form is "consider doing." For example, "He considered traveling abroad."

- "Want doing" is also not a common construction in English. The correct form is "want to do." For example, "They want to go to the beach."

These differences in usage are largely due to the grammar rules of English and the established patterns of expression.