The word pedían is the imperfect form of pedir in the third person plural.
See the full pedir conjugation

pedir

Los trabajadores pedían respeto, dignidad y ser tratados como humanos.
The workers asked for respect, dignity and to be treated like humans.
Y otros, tentando, pedían de él señal del cielo.
And others tempting, asked of him a sign from heaven.
El Parlamento Europeo, Amnistía Internacional y otros pedían un nuevo juicio.
The European Parliament, Amnesty International, and others called for a new trial.
Un gran número de personas atrapadas en la ciudad pedían socorro.
A large number of people trapped in the town appealed for help.
No he visto nada malo en lo que me pedían.
I didn't see anything wrong in what they wanted.
Sí, les dio todo lo que ellos pedían.
Yeah, gave them everything that they were asking for.
De hecho, nos pedían que pagáramos la deuda contraída.
In fact, we were asked to pay our debt.
Por eso les pedían ayuda en muchas situaciones.
So they would ask them for help in many situations.
¿Eso es lo que te pedían que hicieras allí?
Is this what they asked you to do up there?
En 15 casos, los solicitantes pedían indemnización por graves daños a la salud.
In 15 cases, the applicants requested compensation for serious damage to health.
Los supervivientes huían de vuelta a las colinas o pedían misericordia.
The survivors were fleeing back into the hills or begging for mercy.
He oído que le pedían una caja de cerillas.
I hear you ask her for a box of kitchen matches.
Por eso mismo los chicos no me pedían ir al baile.
It's the same reason boys didn't ask me to prom.
¿Seguro de que no te pedían que lo explicaras?
Are you sure they weren't asking you to explain it?
Quería hacer un documental sobre lo que le pedían sus editores.
He wanted to do a documentary on what his editors wanted.
Ellos pedían más de lo que tenía, así que me fui.
They asked for more than I had, so I left.
Solo hice lo que me pedían, lo juro.
I just did what they asked me to, I swear.
A tu padre le pedían que tocara en todas las bodas.
Your dad used to be asked to play at all the weddings.
Si hubiera ocurrido en mi gestión, pedían mi renuncia.
If it had happened in my time, they would ask for my resignation.
Cuando había problemas, pedían más socialismo.
When there were problems there, they called for more socialism.
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