One, a fly was found in his cup... פיילי means cup in Aramaic. Then Rashi explains that in Greek, cup is פוטירין.

A pebble was found in the bread of the other. You might ask: Perhaps it was the opposite? The answer is: It must have happened this way, because the other way a question arises — why was this one hanged, and the other, not? It is understandable if the fly was the butler’s. He was not hanged because it was beyond his control; he could not prevent a fly from suddenly falling into the cup. The baker, however, whose bread had a pebble, was negligent. He should have cleaned out the oven thoroughly, so that no pebble remained.

To be with them. I.e., the verse seems to imply that the chief of the slaughterers appointed Yoseif along with them, and they too had been appointed over something. Had Scripture previously written that the butler and baker received appointments, this would be understandable. But now that Scripture did not [write this], what is the meaning of, “With them?” Therefore Rashi explains that it means, “To be with them.”

ימים refers to twelve months. Rashi deduces this from (Vayikra 25:29), ימים תהיה גאולתו, through a gezeirah shavah between ימים and ימים. We need not ask: Perhaps they were there for two days [because ימים literally means “days” and implies a minimum of two], and they dreamt on the second night? For [the answer is:] If so, why would Yoseif say (v. 13): “In another three days,” [if three days had not yet past]? He should have simply said, “After three days.”

The same as ויחלמו שניהם חלום. Meaning: each of the two had a dream. Not that each saw the dream of both of them, i.e., his dream and that of his fellow.

The Midrashic explanation, however, is: Each of them dreamed his own dream and **the interpretation of the other’s...**Chazal interpreted the verse literally. But instead of saying that each dreamed the other’s dream, they said, “The interpretation of the other’s dream.” We need not ask: How do Chazal know this? Perhaps it means literally, that each one dreamed his own dream and the other’s dream. For the answer is: Right afterwards it is written איש חלומו בלילה אחד, [implying each had only his own dream,] whereas at first it said חלום שניהם, implying that each had two dreams. Since this is self-contradictory, it must mean his dream and the interpretation of the other’s. And when it is writtenאיש כפתרון חלומו, i.e., like the interpretation of his friend’s [dream, perforce] it means a dream consistent with the matter destined to befall them. It cannot mean as it sounds, that he saw also the interpretation [of his own dream]. For if so, what was there for Yoseif to interpret?

It seemed as if it budded... Rashi is explaining that the כ of כפורחת denotes “similar to.” It does not denote “when” (כאשר), for such a כ occurs only with a gerund (a type of noun), but not with a verb. But ויהי כמשיב ידו (38:29) [raises a question. Is it not a verb, and yet it has such a כ? The answer is: It] means, “it appeared as if he put back his hand.” He did it unintentionally. However since he put out his hand, the midwife tied on the scarlet thread, and then he immediately pulled it back, it seemed as if he had done so intentionally. Therefore Scripture describes it as such. Onkelos, who translates כפורחת as כד אפרחת, “when it budded,” is rendering a non-literal meaning. The proof is that he renders the present-tense verb פורחת as אפרחת, which is in the past tense. (Re’m)

In my dream it seemed as if it budded. In other words, in my dream I saw it actually budding like a budding vine. [It looked like the real thing,] not like something that had been altered and is “similar to.”

And after**it budded, the blossoms bloomed...**I.e., he did not see it all happen simultaneously, as the verse seems to imply. [Rashi knows this] because Heaven does not show a person an elephant standing in a needle’s eye. [I.e., prophetic dreams are not absurd.]

They are a symbol**to you of three days.**I.e., they are not three days themselves, as the verse seems to imply.

**[כי means:] that if you will remember me after...**In other words, Pharaoh will lift your head and you will be so important “that” if you mention me, you will be able to get me out. כי denotes “that” (אשר). This is because כי has four meanings, and one is אם, which is the same as אשר. Rashi adds, “After things become well for you,” because it is not befitting to mention Yoseif right when Pharaoh treats the butler well, but later, while the butler is standing and serving [before Pharaoh].

Ginusia Day. This means “birthday” in Greek.

Afterwards. Because Yoseif depended on him... [Rashi knows this] because otherwise, why is it written here that the butler failed to remember? If to tell us that he did not deal kindly with Yoseif, this is already written: “It was at the end of two full years... the chief butler spoke to Pharaoh...” (41: 1-9). Perforce, it tells us that Hashem caused the butler not to remember Yoseif for two years because Yoseif depended on him. (Kitzur Mizrachi) In Shemos Rabboh ch. 7 it is explained that Yoseif deserved only ten years in prison, corresponding to his bad reports about his ten brothers. But since he said to the butler, “But remember me... and mention me,” two more years were added, because Yoseif mentioned זכירה twice. (Nachalas Yaakov)