need help with future tense (regular verb) Spanish crossword puzzle

Across:
1. He will write (escribir)
4. They will suffer (sufrir)
6. we will organise (organizar)
7. we are going to work (trabajar)
9. i am going to sign (firmar)
11. you (pl) would help (poseer)
13. they will possess (lavar)
19. you (sg) are going to watch (mirar)

Down
1. it would exist (existir)
2 i would believe (Creer)
3. he is going to spend (gastar)
5. you (pl) are going to dance (bailar)
7. they are going to break (romper)
8. you (sg) will learn (aprendar)
10. i will cook (cocinar)
12. they would run (correr)
14. you (sg) would omit (omitir)
15. i will arrive (LLegar)
16. you (sg) will read (leer)
18. she will live (vivir)

Respuesta :

Across: 
1. escribirá
4. sufrirán
6. organizaremos
7. trabajaremos
9. firmaré
11. poseerás (tu) poseeréis (vosotros-tu pl)
13. lavaran
19. miraras
Down: 
1. existirá
2. creerá
3.gastará
5. bailaras (tu) bailaréis (vosotros) 
7. romperan
8. aprenderás 
10. cocinaré
12. correran
14. omitiras 
15. llegare 
16. leeras 
18. vivira