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The phrase "arithmetical problems that" is correct and usable in written English.
You can use it when introducing a clause that specifies or describes the type of arithmetical problems being discussed.
Example: "The teacher assigned several arithmetical problems that required critical thinking skills."
Alternatives: "mathematical problems that" or "numerical problems that".
Exact(1)
Detlefsen has emphasized that the incompleteness theorems do not preclude that the consistency of parts of higher mathematics that are in practice used for solving arithmetical problems that mathematicians are interested in can be arithmetically established (Detlefsen 1986).
Similar(59)
The following example is a typical arithmetical problem that is expressed by the triplet structure model in a combination story: {There are 3 white rabbits (first existence sentence).
The following is a typical arithmetical problem that is expressed by the triplet structure model in a decrease story: {There are 5 apples (first existence sentence).
This model deals with an arithmetic word problem that is solved using only one arithmetical operation.
Of course solving arithmetical problems in arithmetic is in some cases practically impossible.
Some indices incorporate arithmetical problems.
Shapes and sculptures, arithmetical problems, linguistic points moved easily around each other.
When treated with tDCS to their prefrontal cortices, the nervous individuals improved their reaction time on simple arithmetical problems and showed reduced levels of stress.
Finally these results are applied again to the starting arithmetical problems.
After the training, a "mental abacus" was formed in their brains [ 15, 20], which may be helpful when they performed the arithmetical problems.
It is true that abandoning plans to raise national insurance contributions (NICs) for some self-employed workers means the numbers no longer add up, so Philip Hammond has an arithmetical problem on his hands, which will become a revenue-raising problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com