Save "Murder most foul"
The midrash explicates the first murder, attempting to understand the motivation for fratricide. As such, the rabbis seek to understand murder in general, attempting to glean wisdom from Torah as a way to understand their world.

(ז) וַיֹּאמֶר קַיִן אֶל הֶבֶל אָחִיו וַיְהִי בִּהְיוֹתָם וגו' (בראשית ד, ח), עַל מָה הָיוּ מִדַּיְּנִים, אָמְרוּ בּוֹאוּ וְנַחֲלֹק אֶת הָעוֹלָם, אֶחָד נָטַל הַקַּרְקָעוֹת וְאֶחָד נָטַל אֶת הַמִּטַּלְטְלִין, דֵּין אָמַר אַרְעָא דְּאַתְּ קָאֵם עֲלָהּ דִּידִי, וְדֵין אָמַר מַה דְּאַתְּ לָבֵישׁ דִּידִי, דֵּין אָמַר חֲלֹץ, וְדֵין אָמַר פְּרַח, מִתּוֹךְ כָּךְ (בראשית ד, ח): וַיָּקָם קַיִן אֶל הֶבֶל אָחִיו וַיַּהַרְגֵּהוּ, רַבִּי יְהוֹשֻׁעַ דְּסִכְנִין בְּשֵׁם רַבִּי לֵוִי אָמַר שְׁנֵיהֶם נָטְלוּ אֶת הַקַּרְקָעוֹת, וּשְׁנֵיהֶן נָטְלוּ אֶת הַמִּטַּלְטַלִין, וְעַל מָה הָיוּ מִדַּיְּנִין, אֶלָּא זֶה אוֹמֵר בִּתְחוּמִי בֵּית הַמִּקְדָּשׁ נִבְנֶה וְזֶה אוֹמֵר בִּתְחוּמִי בֵּית הַמִּקְדָּשׁ נִבְנֶה, שֶׁנֶּאֱמַר: וַיְהִי בִּהְיוֹתָם בַּשָּׂדֶה, וְאֵין שָׂדֶה אֶלָּא בֵּית הַמִּקְדָּשׁ, הֵיךְ מַה דְּאַתְּ אָמַר (מיכה ג, יב): צִיּוֹן שָׂדֶה תֵחָרֵשׁ, וּמִתּוֹךְ כָּךְ (בראשית ד, ח): וַיָּקָם קַיִן אֶל הֶבֶל אָחִיו וגו'. יְהוּדָה בַּר אָמֵי אָמַר עַל חַוָּה הָרִאשׁוֹנָה הָיוּ מִדַּיְּנִין, אָמַר רַבִּי אַיְבוּ חַוָּה הָרִאשׁוֹנָה חָזְרָה לַעֲפָרָהּ וְעַל מָה הָיוּ מִדַּיְּנִין, אָמַר רַבִּי הוּנָא תְּאוֹמָה יְתֵרָה נוֹלְדָה עִם הֶבֶל, זֶה אוֹמֵר אֲנִי נוֹטְלָהּ שֶׁאֲנִי בְּכוֹר, וְזֶה אוֹמֵר אֲנִי נוֹטְלָהּ שֶׁנּוֹלְדָה עִמִּי, וּמִתּוֹךְ כָּךְ וַיָּקָם קַיִן.

(7)“Cain said to Abel his brother. It was when they were in the field. Cain rose up against Abel his brother and killed him” (Genesis 4:8).
“Cain said to Abel his brother. It was when they were…” – about what were they quarreling? They said: ‘Let us divide the world between us.’ One took the land and one took the movable property. This one said: ‘The land on which you are standing is mine.’ That one said: ‘What you are wearing is mine.’ That one said: ‘Take it off.’ This one said: ‘Fly.’ As a result: “Cain rose up against Abel his brother and killed him.”
Rabbi Yehoshua of Sikhnin said in the name of Rabbi Levi: Both of them took the land and both of them took the movable property. Regarding what, then, were they quarreling? Rather, this one said: ‘The Temple shall be built in my domain,’ and that one said: ‘The Temple shall be built in my domain,’ as it is stated: “It was when they were in the field,” and “field” is nothing other than the Temple, as it says: “Zion will be plowed like a field” (Micah 3:12). As a result: “Cain rose up against Abel his brother…”
Yehuda bar Rabbi said: They were quarreling over [who would wed] the first Eve. Rabbi Aivu said: The first Eve had returned to dust. Regarding what, then, were they quarreling? Rabbi Huna said: An extra twin sister was born with Abel. This one [Cain] said: ‘I will take her, as I am the firstborn.’ That one [Abel] said: ‘I will take her, as she was born with me.’ As a result: “Cain rose up.”

Midrash Guide
1. What is the question in the Torah that the Midrash seeks to answer?
2. Three answers are given to the above question. Compare and contrast them. What is similar between the answers? What differentiates each one?
3. Which answer do you find most compelling? Why