すごく is a very casual, colloquial intensifier, while 大変 is more neutral and usable in polite or formal contexts.
大変 is a versatile word for 'very' or 'terrible' usable in many contexts, while とんだ is limited to pre-noun exclamations of exasperation.
大変 is a broad word for something being tough or serious in general, while 骨が折れる specifically describes a task demanding great physical or mental effort.
大変 works fine in casual conversation, whereas 甚だ is literary and rarely heard in everyday chat.
大変 is a broad, everyday word for something difficult or a lot of work, while 苦しい is heavier and implies real pain, pressure, or hardship.
大変 is a common intensifier usable with both adjectives and verbs in polite speech, while 大いに leans toward emphasizing the degree of an action.
大変 objectively describes a difficult or serious situation, while 辛い expresses the subjective feeling of hardship.
大変 is a very common, everyday intensifier, while すこぶる is rarer and belongs to more written or formal registers.
大変 is a polite, widely used intensifier for 'very', whereas 随分 leans toward expressing the speaker's surprise at an unexpected degree.
大変 is a softer, widely-used intensifier suitable for casual and polite speech, whereas 極めて is more formal and used mainly in writing or formal speech.
大変 is a more formal intensifier suitable for polite or written contexts, whereas 凄い/すごく is casual and used mainly in spoken Japanese.
大変 is the common word for something being tough or serious, while 偉い in casual speech carries the same 'tiring/terrible' sense but sounds more colloquial or dialectal.