God is Testing You

Deuteronomy 13:1-3 (New International Version - UK)
Worshipping Other Gods
¹ If a prophet, or one who foretells by dreams, appears among you and announces to you a miraculous sign or wonder, ² and if the sign or wonder of which he has spoken takes place, and he says, Let us follow other gods (gods you have not known) and let us worship them, ³ you must not listen to the words of that prophet or dreamer. The LORD your God is testing you to find out whether you love him with all your heart and with all your soul.

James 1:12-14 (New International Version - UK)
¹² Blessed is the man who perseveres under trial, because when he has stood the test, he will receive the crown of life that God has promised to those who love him. ¹³ When tempted, no-one should say, God is tempting me. For God cannot be tempted by evil, nor does he tempt anyone; ¹⁴ but each one is tempted when, by his own evil desire, he is dragged away and enticed.

The LORD your God tests (H5254) you, but does not tempt (G3985) anyone. There must be some difference between testing (H5254) and tempting (G3985). From e-Sword:

H5254
נסה
nâsâh
naw-saw'
A primitive root; to test; by implication to attempt: - adventure, assay, prove, tempt, try.

G3985
πειράζω
peirazō
pi-rad'-zo
From G3984; to test (objectively), that is, endeavor, scrutinize, entice, discipline: - assay, examine, go about, prove, tempt (-er), try.

Is there a better translation of either of these verses that will resolve this conflict? The word highlighted in red in the LXX translation below is similar to G3985 (it just has a different ending), but I have not been able to find a definition for it. Are there any ancient Greek experts out there?

Deuteronomy 13:3 (Septuagint)
(13:4) οὐκ ἀκούσεσθε τῶν λόγων τοῦ προφήτου ἐκείνου ἢ τοῦ ἐνυπνιαζομένου τὸ ἐνύπνιον ἐκεῖνο ὅτι πειράζει κύριος ὁ θεὸς ὑμᾶς εἰδέναι εἰ ἀγαπᾶτε κύριον τὸν θεὸν ὑμῶν ἐξ ὅλης τῆς καρδίας ὑμῶν καὶ ἐξ ὅλης τῆς ψυχῆς ὑμῶν

Or is there some other way to interpret what involvement God actually has in verses like Deuteronomy 13:1-3 and 1 Samuel 18:10?

1 Samuel 18:10-11 (New International Version - UK)
¹⁰ The next day an evil spirit from God came forcefully upon Saul. He was prophesying in his house, while David was playing the harp, as he usually did. Saul had a spear in his hand ¹¹ and he hurled it, saying to himself, I'll pin David to the wall. But David eluded him twice.

I found this excerpt on BLB that seems to answer the question quite well:

Jam 1:13-15 seems to contradict other statements of Scripture in two respects, saying

(a) that 'God cannot be tempted with evil,' and

(b) that 'He Himself tempteth no man.'

But God tempted, or tried, Abraham, Hbr 11:17, and the Israelites tempted, or tried, God, 1Cr 10:9. Jam 1:14, however, makes it plain that, whereas in these cases the temptation or trial, came from without, James refers to temptation, or trial, arising within, from uncontrolled appetites and from evil passions, cp. Mar 7:20-23. But though such temptation does not proceed from God, yet does God regard His people while they endure it, and by it tests and approves them.

[From Notes on Thessalonians, by Hogg and Vine, p. 97.]