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Task Overview

The task involves filling in the blanks with either gerunds (verb + -ing) or infinitives (to + verb). The choice between gerunds and infinitives depends on the specific verb or expression used in the sentence. Here are the general rules to guide the selection:

1. Gerunds:
- Used after certain verbs (e.g., enjoy, suggest, miss, practice, dislike).
- Used as subjects or objects of sentences.
- Often follow prepositions.

2. Infinitives:
- Used after certain verbs (e.g., plan, agree, hope, decide, demand, refuse).
- Used as complements after "want," "need," "seem," etc.
- Often follow expressions like "choose to," "promise to," "offer to."

Solution

Let's solve each sentence step by step:

---

#### 1. Dan enjoys reading science fiction.
- Gerund: "Enjoy" is followed by a gerund.

#### 2. Cheryl suggested seeing a movie after work.
- Gerund: "Suggest" is followed by a gerund.

#### 3. I miss working in the travel industry. Maybe I can get my old job back.
- Gerund: "Miss" is followed by a gerund.

#### 4. Where did you learn to speak Spanish? Was it in Spain or in Latin America?
- Infinitive: "Learn" is followed by an infinitive.

#### 5. Do you mind helping me translate this letter?
- Gerund: "Mind" is followed by a gerund.

#### 6. He asked to talk to the store manager.
- Infinitive: "Ask" is followed by an infinitive.

#### 7. You've never mentioned living in Japan before. How long did you live there?
- Gerund: "Mention" is followed by a gerund.

#### 8. If he keeps coming to work late, he's going to get fired!
- Gerund: "Keep" is followed by a gerund.

#### 9. Debbie plans to study abroad next year.
- Infinitive: "Plan" is followed by an infinitive.

#### 10. I agreed to help Jack wash his car.
- Infinitive: "Agree" is followed by an infinitive.

#### 11. I hope to graduate from college next June.
- Infinitive: "Hope" is followed by an infinitive.

#### 12. The models practiced walking with a book balanced on their heads.
- Gerund: "Practice" is followed by a gerund.

#### 13. Mandy has promised to take care of our dog while we are on vacation.
- Infinitive: "Promise" is followed by an infinitive.

#### 14. Mr. Edwards chose to accept the management position in Chicago rather than the position in Miami.
- Infinitive: "Choose" is followed by an infinitive.

#### 15. I don't know what she wants to do tonight. Why don't you ask her?
- Infinitive: "Want" is followed by an infinitive.

#### 16. Frank offered to help us paint the house.
- Infinitive: "Offer" is followed by an infinitive.

#### 17. Sandra decided to study economics in London.
- Infinitive: "Decide" is followed by an infinitive.

#### 18. Witnesses reported seeing the bank robber as he was climbing out of the second-story window.
- Gerund: "Report" is followed by a gerund.

#### 19. Stephanie dislikes working in front of a computer all day.
- Gerund: "Dislike" is followed by a gerund.

#### 20. Mrs. Naidoo appears to be the most qualified person for the job.
- Infinitive: "Appear" is followed by an infinitive.

#### 21. Eliza recommended eating in a dim sum restaurant while we're in Hong Kong.
- Gerund: "Recommend" is followed by a gerund.

#### 22. I demand to talk to the manager of the hotel immediately.
- Infinitive: "Demand" is followed by an infinitive.

#### 23. My grandmother recalled seeing a plane for the very first time when she was six.
- Gerund: "Recall" is followed by a gerund.

#### 24. She claims to be related to George Washington, but I don't believe her.
- Infinitive: "Claim" is followed by an infinitive.

#### 25. This broken bicycle needs fixing before someone can ride it.
- Gerund: "Need" is followed by a gerund.

#### 26. I can't understand driving such a big car when gas prices are so high, not to mention what it does to the environment.
- Gerund: "Understand" is followed by a gerund.

#### 27. She refused to speak to me after our fight.
- Infinitive: "Refuse" is followed by an infinitive.

#### 28. The wilderness adventure course lasts ten days and involves hiking more than fifty miles through rugged mountainous terrain.
- Gerund: "Involve" is followed by a gerund.

#### 29. Don't hesitate to ask for help if you don't understand the directions.
- Infinitive: "Hesitate" is followed by an infinitive.

#### 30. She managed to communicate with them, even though she didn't speak their language.
- Infinitive: "Manage" is followed by an infinitive.

---

Final Answers:

1. reading
2. seeing
3. working
4. to speak
5. helping
6. to talk
7. living
8. coming
9. to study
10. to help
11. to graduate
12. walking
13. to take
14. to accept
15. to do
16. to help
17. to study
18. seeing
19. working
20. to be
21. eating
22. to talk
23. seeing
24. to be
25. fixing
26. driving
27. to speak
28. hiking
29. to ask
30. to communicate

---

Final Answer:

\boxed{
\begin{array}{l}
1. \text{reading} \\
2. \text{seeing} \\
3. \text{working} \\
4. \text{to speak} \\
5. \text{helping} \\
6. \text{to talk} \\
7. \text{living} \\
8. \text{coming} \\
9. \text{to study} \\
10. \text{to help} \\
11. \text{to graduate} \\
12. \text{walking} \\
13. \text{to take} \\
14. \text{to accept} \\
15. \text{to do} \\
16. \text{to help} \\
17. \text{to study} \\
18. \text{seeing} \\
19. \text{working} \\
20. \text{to be} \\
21. \text{eating} \\
22. \text{to talk} \\
23. \text{seeing} \\
24. \text{to be} \\
25. \text{fixing} \\
26. \text{driving} \\
27. \text{to speak} \\
28. \text{hiking} \\
29. \text{to ask} \\
30. \text{to communicate} \\
\end{array}
}