ungleich
unequal
Not the same or identical; different in characteristics, size, or form.
Die beiden Brüder sind charakterlich sehr ungleich.
The two brothers are very unequal in character.

unequal / much
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unequal
Not the same or identical; different in characteristics, size, or form.
Die beiden Brüder sind charakterlich sehr ungleich.
The two brothers are very unequal in character.

The word is the opposite of 'gleich' (same/equal). The prefix 'un-' is often used in German to turn the meaning of an adjective or adverb into its opposite.
Es ist unfair, wenn die Aufgaben ungleich schwer sind.
It is unfair when the tasks are unequally difficult.
In this meaning, 'ungleich' is used as an adverb to intensify a comparative (e.g., 'besser' — better, 'schneller' — faster). It stands directly before the comparative adjective.
Die zweite Prüfung war ungleich anspruchsvoller als die erste.
The second exam was much more demanding than the first.
You can recognize the adverbial meaning by the fact that 'ungleich' stands directly before an adjective in the comparative (e.g., 'größer' — bigger, 'wichtiger' — more important). In the other meanings, it describes a noun or answers the question 'How?'.
Das neue Modell ist ungleich teurer.
The new model is much more expensive.
In the context of fairness and distribution, 'ungleich' is often combined with verbs like 'verteilen' (to distribute) or nouns like 'Chancen' (opportunities) and 'Bedingungen' (conditions).
Der Wohlstand ist in diesem Land sehr ungleich verteilt.
Wealth is very unequally distributed in this country.
much / a lot
'viel' and 'ungleich' can both intensify a comparison. In sentences like 'viel besser' (much better), 'viel' means that the difference is clearly large. 'ungleich' can mean 'considerably' or 'much' in a similar way, for example 'ungleich schwieriger' (much more difficult). The difference is mainly in style: 'viel' is normal and natural in everyday language. 'ungleich' sounds more elevated and is more likely to appear in written or more formal texts. Learners may confuse the words because both can stand before a comparative. In conversation, 'viel' is usually the safe choice.

Mit guter Vorbereitung ist die Prüfung ungleich leichter.
With good preparation, the exam is much easier.
Der neue Weg zur Arbeit ist viel kürzer als der alte.
The new route to work is much shorter than the old one.