Hebrew, then English. Open "What it means" under any line for the explanation.
On Mondays and Thursdays say this. On other days with Tachanun, skip ahead to Shomer Yisrael:
וְהוּא רַחוּם יְכַפֵּר עָוֺן וְלֹא יַשְׁחִית וְהִרְבָּה לְהָשִׁיב אַפּוֹ וְלֹא יָעִיר כָּל חֲמָתוֹ.
And He, the merciful One, forgives wrongdoing and does not destroy and again and again turns back His anger and does not stir up all His rage
What it means
And He, the merciful One, forgives wrongdoing and does not destroy. Again and again He turns back His anger and does not stir up all His rage.
Rashi (the main medieval commentator, from France about 900 years ago) says that even when God punishes, He does not rouse all His anger, only a little at a time. Radak (a commentator from southern France about 800 years ago) says turning anger back takes strength of heart. The Romemu page tells where else this verse is used.
Rashi and Radak on Tehillim 78:38אַתָּה יְיָ לֺא תִכְלָא רַחֲמֶיךָ מִמֶּנּוּ חַסְדְּךָ וַאֲמִתְּךָ תָּמִיד יִצְרוּנוּ.
You, Hashem, will not hold back Your mercy from us Your kindness and Your truth will always guard us
What it means
In Tehillim (the Book of Psalms) 40:12, David says "me" twice: "from me" and "will guard me." The siddur changes both to "us." Rashi explains the first verb as "withhold" and the second as "guard."
Tehillim 40:12; Rashi on Tehillim 40:12הוֹשִׁיעֵנוּ יְיָ אֱלֺהֵינוּ וְקַבְּצֵנוּ מִן הַגּוֹיִם לְהוֹדוֹת לְשֵׁם קָדְשֶׁךָ לְהִשְׁתַּבֵּחַ בִּתְהִלָּתֶךָ.
Save us, Hashem our God, and gather us from the nations to give thanks to Your holy Name and to glory in Your praise
What it means
Save us, Hashem our God, and gather us from among the nations, to give thanks to Your holy Name and to glory in Your praise.
Radak says the one speaking here is people in exile: gather us, and then we will thank You. He says "Your praise" means the kindnesses God has done for us, which we praise Him for.
Radak on Tehillim 106:47אִם עֲוֺנוֹת תִּשְׁמָר יָהּ אֲדֹנָי מִי יַעֲמֹד.
If You kept count of wrongdoings, Yah, my Master, who could stand?
What it means
Tehillim 130 opens, "From the depths I call You." Ibn Ezra (a Torah commentator from Spain, about 900 years ago) says the depths are the exile of Israel, with its poverty and low standing. Radak says that if God kept our sins, we would almost be finished and lost.
Ibn Ezra on Tehillim 130:1; Radak on Tehillim 130:3כִּי עִמְּךָ הַסְּלִיחָה לְמַעַן תִּוָּרֵא.
For with You is the forgiveness so that You are held in awe
What it means
For forgiveness is with You, so that You will be held in awe.
לֺא כַחֲטָאֵינוּ תַּעֲשֶׂה לָּנוּ וְלֹא כַעֲוֺנֹתֵינוּ תִּגְמֹל עָלֵינוּ.
Not according to our sins should You deal with us and not according to our wrongdoings should You repay us
What it means
Do not deal with us according to our sins, and do not repay us according to our wrongdoings.
In Tehillim 103:10 both verbs are in the past: God "has not dealt" with us as our sins deserve. The siddur changes both to the future form (ta'aseh, tigmol), so the line reads as a request. Radak says the Tehillim verse means that even in exile God did not give us what our sins deserve, which would be destruction.
Tehillim 103:10; Radak on Tehillim 103:10אִם עֲוֺנֵינוּ עָנוּ בָנוּ יְיָ עֲשֵׂה לְמַעַן שְׁמֶךָ.
If our wrongdoings testify against us, Hashem, act for Your Name's sake
What it means
Though our wrongdoings testify against us, Hashem, act for the sake of Your Name.
Yirmiyahu (the prophet Jeremiah) 14 opens "about the droughts." Radak says Yirmiyahu counts himself in with the people although he had done no wrong, and that rain stopping in our land but not in other lands is what "testifies" against us. The verse goes on, "for our rebellions are many"; the siddur stops before it.
Yirmiyahu 14:1 and 14:7; Radak on Yirmiyahu 14:7זְכָר רַחֲמֶיךָ יְיָ וַחֲסָדֶיךָ כִּי מֵעוֹלָם הֵמָּה.
Remember Your mercies, Hashem, and Your kindnesses, for they are from forever
What it means
Remember Your mercies, Hashem, and Your kindnesses, for they have been there from forever.
יַעֲנֵנוּ יְיָ בְּיוֹם צָרָה יְשַׂגְּבֵנוּ שֵׁם אֱלֺהֵי יַעֲקֹב.
May Hashem answer us on the day of trouble; may the Name of the God of Yaakov lift us to safety
What it means
Why "the God of Yaakov" and not Avraham or Yitzchak? Radak says Yaakov saw more trouble than they did. He cites a midrash (an early collection of the rabbis' teachings) that notes only Yaakov is named here. So David tells Israel: the One who answered your father Yaakov will answer you.
Radak on Tehillim 20:2; Bereishit 35:3יְיָ הוֹשִׁיעָה הַמֶּלֶךְ יַעֲנֵנוּ בְיוֹם קָרְאֵנוּ.
Hashem, save! May the King answer us on the day we call
What it means
Rashi says Tehillim 20 is about David staying in Jerusalem to pray while Yoav (his army commander) and the army went to war.
Rashi on Tehillim 20:2אָבִינוּ מַלְכֵּנוּ חָנֵּנוּ וַעֲנֵנוּ כִּי אֵין בָּנוּ מַעֲשִׂים עֲשֵׂה עִמָּנוּ צְדָקָה כְּרוֹב רַחֲמֶיךָ וְהוֹשִׁיעֵנוּ לְמַעַן שְׁמֶךָ.
Our Father, our King, be gracious to us and answer us for we have no good deeds treat us with charity in keeping with Your mercy and save us for Your Name's sake
What it means
Our Father, our King, be gracious to us and answer us, for we have no good deeds. Treat us with charity, in keeping with Your great mercy, and save us for the sake of Your Name.
This line is almost the same as the last line of Avinu Malkeinu, which ends "charity and kindness, and save us." Here it ends "in keeping with Your great mercy, and save us for the sake of Your Name." The Avinu Malkeinu page asks whether "we have no good deeds" is true.
Siddur Sefard, Avinu Malkeinuאֲדוֹנֵינוּ אֱלֺהֵינוּ שְׁמַע קוֹל תַּחֲנוּנֵינוּ וּזְכָר לָנוּ אֶת בְּרִית אֲבוֹתֵינוּ וְהוֹשִׁיעֵנוּ לְמַעַן שְׁמֶךָ.
Our Master, our God, hear the sound of our pleas and remember for us the covenant of our fathers and save us for Your Name's sake
What it means
Our Master, our God, hear the sound of our pleas, remember for us the covenant of our fathers, and save us for the sake of Your Name.
The Torah has God speak of the covenant with the fathers Himself, in Vayikra 26:42: "I will remember My covenant with Yaakov, and also with Yitzchak, and also with Avraham." Rashi asks why they are listed backward. His answer: Yaakov, the youngest, is worthy on his own. If not, Yitzchak is with him, and if not, Avraham is with him.
Vayikra 26:42; Rashi on Vayikra 26:42Now words from the prayer of Daniel (Daniel 9):
וְעַתָּה אֲדֹנָי אֱלֺהֵינוּ אֲשֶׁר הוֹצֵאתָ אֶת עַמְּךָ מֵאֶרֶץ מִצְרַיִם בְּיָד חֲזָקָה וַתַּעַשׂ לְךָ שֵׁם כַּיּוֹם הַזֶּה חָטָאנוּ רָשָׁעְנוּ.
And now, my Master, our God, You who took out Your people from the land of Egypt with a strong hand and made Yourself a name that lasts to this day: we have sinned, we have done wrong
What it means
And now, my Master, our God, You who took Your people out of the land of Egypt with a strong hand and made Yourself a name that lasts to this day: we have sinned, we have done wrong.
These lines come near the end of the long prayer of Daniel (a Jewish leader in the Babylonian exile, whose book is in Tanach) in Daniel 9. Rashi says this verse is a confession.
Daniel 9:15; Rashi on Daniel 9:15אֲדֹנָי כְּכָל צִדְקֹתֶיךָ יָשָׁב נָא אַפְּךָ וַחֲמָתְךָ מֵעִירְךָ יְרוּשָׁלַםִ הַר קָדְשֶׁךָ כִּי בַחֲטָאֵינוּ וּבַעֲוֺנוֹת אֲבֹתֵינוּ יְרוּשָׁלַםִ וְעַמְּךָ לְחֶרְפָּה לְכָל סְבִיבֹתֵינוּ.
My Master, in keeping with all Your righteous acts, please let Your anger and Your fury turn back from Your city Jerusalem, Your holy mountain, for because of our sins and the wrongdoings of our fathers Jerusalem and Your people are a disgrace to all around us
What it means
Metzudat David (a commentary on the later books of Tanach) says Jerusalem is mocked not because You lack power, but because You were angry at our sins. When Your anger turns back, the mocking stops.
Metzudat David on Daniel 9:16וְעַתָּה שְׁמַע אֱלֺהֵינוּ אֶל תְּפִלַּת עַבְדְּךָ וְאֶל תַּחֲנוּנָיו וְהָאֵר פָּנֶיךָ עַל מִקְדָּשְׁךָ הַשָּׁמֵם לְמַעַן אֲדֹנָי.
And now, our God, hear the prayer of Your servant and his pleas and let Your face shine on Your desolate Sanctuary for Your sake, my Master
What it means
The last words are "for the sake of Adonai." Rashi says this means for the sake of the holy Name that is called on the Temple, and he points to Shemot 15:17: "the Sanctuary, Adonai, that Your hands made."
Rashi on Daniel 9:17