[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: union
Target surface form: unions
Context:
If he were brilliant, he probably would not be a family doctor in the first place. If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' <t>unions</t> do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency.

Candidate senses:
1. sense_key=union%1:14:01:: | definition=an organization of employees formed to bargain with the employer | synonyms=labor union, trade union, trades union, brotherhood | examples=you have to join the union in order to get a job
2. sense_key=union%1:15:00:: | definition=the United States (especially the northern states during the American Civil War) | synonyms=North | examples=he has visited every state in the Union; Lee hoped to detach Maryland from the Union
3. sense_key=union%1:04:02:: | definition=the act of pairing a male and female for reproductive purposes | synonyms=coupling, mating, pairing, conjugation, sexual union | examples=the casual couplings of adolescents; the mating of some species occurs only in the spring
4. sense_key=union%1:26:00:: | definition=the state of being joined or united or linked | synonyms=unification | examples=there is strength in union
5. sense_key=union%1:26:02:: | definition=the state of being a married couple voluntarily joined for life (or until divorce) | synonyms=marriage, matrimony, spousal relationship, wedlock | examples=a long and happy marriage; God bless this union
6. sense_key=union%1:22:00:: | definition=healing process involving the growing together of the edges of a wound or the growing together of broken bones | synonyms=conglutination
7. sense_key=union%1:14:02:: | definition=a political unit formed from previously independent people or organizations | examples=the Soviet Union
8. sense_key=union%1:14:03:: | definition=a set containing all and only the members of two or more given sets | synonyms=sum, join | examples=let C be the union of the sets A and B
9. sense_key=union%1:11:00:: | definition=the occurrence of a uniting of separate parts | examples=lightning produced an unusual union of the metals
10. sense_key=union%1:06:01:: | definition=a device on a national flag emblematic of the union of two or more sovereignties (typically in the upper inner corner)
11. sense_key=union%1:04:00:: | definition=the act of making or becoming a single unit | synonyms=unification, uniting, conjugation, jointure | examples=the union of opposing factions; he looked forward to the unification of his family for the holidays

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "teachers' unions" in the context of equity and political usefulness, which clearly refers to organizations of employees formed to bargain with the employer. This aligns with the definition of a **labor union** or **trade union**. Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


attempt_kind: initial

status: success

[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: mind
Target surface form: mind
Context:
If he were brilliant, he probably would not be a family doctor in the first place. If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not <t>mind</t> spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency.

Candidate senses:
1. sense_key=mind%2:32:00:: | definition=be offended or bothered by; take offense with, be bothered by | examples=I don't mind your behavior
2. sense_key=mind%2:31:02:: | definition=be concerned with or about something or somebody
3. sense_key=mind%2:41:01:: | definition=be in charge of or deal with | synonyms=take care | examples=She takes care of all the necessary arrangements
4. sense_key=mind%2:41:00:: | definition=pay close attention to; give heed to | synonyms=heed, listen | examples=Heed the advice of the old men
5. sense_key=mind%2:31:03:: | definition=be on one's guard; be cautious or wary about; be alert to | synonyms=beware | examples=Beware of telephone salesmen
6. sense_key=mind%2:31:00:: | definition=keep in mind | synonyms=bear in mind

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "mind" in the given context, we analyze the sentence:

"It is the kind of libel the teachers' unions do not **mind** spreading, for their own narrow purposes."

The phrase "do not mind spreading" suggests that the teachers' unions are not opposed to or bothered by the act of spreading this libel. This aligns with the definition of "mind" meaning "be offended or bothered by; take offense with." The context indicates a lack of objection or discomfort, which matches the sense of not being bothered by something.

Reviewing the candidate senses:

1. **sense_key=mind%2:32:00::** - "be offended or bothered by; take offense with" (matches the context).
2. **sense_key=mind%2:31:02::** - "be concerned with or about something or somebody" (does not fit the context of not being bothered).
3. **sense_key=mind%2:41:01::** - "be in charge of or deal with" (irrelevant to the context).
4. **sense_key=mind%2:41:00::** - "pay close attention to; give heed to" (does not fit the context of not being bothered).
5. **sense_key=mind%2:31:03::** - "be on one's guard; be cautious or wary about" (opposite of the context).
6. **sense_key=mind%2:31:00::** - "keep in mind" (does not fit the context of not being bothered).

The best match is **sense_key=mind%2:32:00::**, which corresponds to sense index 3.

Therefore, the answer is:

```json
{"sense_index": 3}
```

finish_reason: stop

role: assistant

currency: USD

source: unavailable


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: spread
Target surface form: spreading
Context:
If he were brilliant, he probably would not be a family doctor in the first place. If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind <t>spreading</t>, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency.

Candidate senses:
1. sense_key=spread%2:35:00:: | definition=distribute or disperse widely | synonyms=distribute | examples=The invaders spread their language all over the country
2. sense_key=spread%2:35:07:: | definition=become distributed or widespread | synonyms=propagate | examples=the infection spread; Optimism spread among the population
3. sense_key=spread%2:42:00:: | definition=spread across or over | synonyms=overspread | examples=A big oil spot spread across the water
4. sense_key=spread%2:35:03:: | definition=spread out or open from a closed or folded state | synonyms=unfold, spread out, open | examples=open the map; spread your arms
5. sense_key=spread%2:32:00:: | definition=cause to become widely known | synonyms=circulate, circularize, circularise, distribute, disseminate, propagate | examples=spread information; circulate a rumor
6. sense_key=spread%2:32:02:: | definition=become widely known and passed on | synonyms=go around, circulate | examples=the rumor spread; the story went around in the office
7. sense_key=spread%2:38:00:: | definition=strew or distribute over an area | synonyms=scatter, spread out | examples=He spread fertilizer over the lawn; scatter cards across the table
8. sense_key=spread%2:38:02:: | definition=move outward | synonyms=diffuse, spread out, fan out | examples=The soldiers fanned out
9. sense_key=spread%2:35:12:: | definition=cover by spreading something over | examples=spread the bread with cheese
10. sense_key=spread%2:35:13:: | definition=distribute over a surface in a layer | examples=spread cheese on a piece of bread

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "It is the kind of libel the teachers' unions do not mind <t>spreading</t>, for their own narrow purposes." indicates that the word "spreading" refers to the act of making something (the libel) become widely known or circulated. This aligns with the definition of "cause to become widely known" and the associated synonyms such as "circulate," "distribute," and "disseminate." Therefore, the best sense is:

```json
{"sense_index": 5}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: narrow
Target surface form: narrow
Context:
If he were brilliant, he probably would not be a family doctor in the first place. If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own <t>narrow</t> purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency.

Candidate senses:
1. sense_key=narrow%3:00:00:: | definition=not wide | examples=a narrow bridge; a narrow line across the page
2. sense_key=narrow%5:00:00:limited:00 | definition=limited in size or scope | examples=the narrow sense of a word
3. sense_key=narrow%3:00:06:: | definition=lacking tolerance or flexibility or breadth of view | synonyms=narrow-minded | examples=a brilliant but narrow-minded judge; narrow opinions
4. sense_key=narrow%3:00:02:: | definition=very limited in degree | examples=won by a narrow margin; a narrow escape
5. sense_key=narrow%5:00:00:careful:00 | definition=characterized by painstaking care and detailed examination | synonyms=minute | examples=a minute inspection of the grounds; a narrow scrutiny

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context of the sentence is discussing the "narrow purposes" of the teachers' unions, implying that their motivations are restricted, biased, or lacking in broader perspective. This aligns with the definition of "narrow" as "lacking tolerance or flexibility or breadth of view," which is captured by the sense:

- **lacking tolerance or flexibility or breadth of view** (synonyms: narrow-minded; examples: a brilliant but narrow-minded judge; narrow opinions)

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: purpose
Target surface form: purposes
Context:
If he were brilliant, he probably would not be a family doctor in the first place. If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow <t>purposes</t>. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency.

Candidate senses:
1. sense_key=purpose%1:09:00:: | definition=an anticipated outcome that is intended or that guides your planned actions | synonyms=intent, intention, aim, design | examples=his intent was to provide a new translation; good intentions are not enough
2. sense_key=purpose%1:07:00:: | definition=what something is used for | synonyms=function, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?
3. sense_key=purpose%1:07:01:: | definition=the quality of being determined to do or achieve something; firmness of purpose | synonyms=determination | examples=his determination showed in his every movement; he is a man of purpose

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context of the sentence, particularly the phrase "for their own narrow <t>purposes</t>," suggests that "purposes" refers to the specific aims or objectives that the teachers' unions are pursuing, which are described as "narrow." This aligns with the definition of "purpose" as an anticipated outcome that guides planned actions or intentions. Therefore, the best sense is the one that captures this idea of intent or aim.

The most appropriate sense is:

1. sense_key=purpose%1:09:00:: | definition=an anticipated outcome that is intended or that guides your planned actions | synonyms=intent, intention, aim, design | examples=his intent was to provide a new translation; good intentions are not enough

Thus, the correct sense index is 1.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: politician
Target surface form: politicians
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel <t>politicians</t> find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=politician%1:18:01:: | definition=a leader engaged in civil administration
2. sense_key=politician%1:18:00:: | definition=a person active in party politics | synonyms=politico, pol, political leader
3. sense_key=politician%1:18:02:: | definition=a schemer who tries to gain advantage in an organization in sly or underhanded ways

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context describes how "politicians" find a particular type of libel useful for gaining a friendly posture toward teachers, implying that politicians are using this issue for their own political advantage. This aligns with the definition of a politician as someone who is active in party politics and may engage in strategic, sometimes underhanded, tactics to further their political goals. Among the candidate senses, the one that best captures this nuance is:

- **sense_key=politician%1:18:02::** – a schemer who tries to gain advantage in an organization in sly or underhanded ways.

Therefore, the best indexed sense is the third one.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: find
Target surface form: find
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians <t>find</t> useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=find%2:40:02:: | definition=come upon, as if by accident; meet with | synonyms=happen, chance, bump, encounter | examples=We find this idea in Plato; I happened upon the most wonderful bakery not very far from here
2. sense_key=find%2:39:02:: | definition=discover or determine the existence, presence, or fact of | synonyms=detect, observe, discover, notice | examples=She detected high levels of lead in her drinking water; We found traces of lead in the paint
3. sense_key=find%2:40:00:: | definition=come upon after searching; find the location of something that was missed or lost | synonyms=regain | examples=Did you find your glasses?; I cannot find my gloves!
4. sense_key=find%2:32:00:: | definition=establish after a calculation, investigation, experiment, survey, or study | synonyms=determine, find out, ascertain | examples=find the product of two numbers; The physicist who found the elusive particle won the Nobel Prize
5. sense_key=find%2:31:10:: | definition=come to believe on the basis of emotion, intuitions, or indefinite grounds | synonyms=feel | examples=I feel that he doesn't like me; I find him to be obnoxious
6. sense_key=find%2:39:01:: | definition=perceive or be contemporaneous with | synonyms=witness, see | examples=We found Republicans winning the offices; You'll see a lot of cheating in this school
7. sense_key=find%2:40:01:: | definition=get something or somebody for a specific purpose | synonyms=line up, get hold, come up | examples=I found this gadget that will serve as a bottle opener; I got hold of these tools to fix our plumbing
8. sense_key=find%2:36:00:: | definition=make a discovery, make a new finding | synonyms=discover | examples=Roentgen discovered X-rays; Physicists believe they found a new elementary particle
9. sense_key=find%2:31:09:: | definition=make a discovery | synonyms=discover | examples=She found that he had lied to her; The story is false, so far as I can discover
10. sense_key=find%2:40:03:: | definition=obtain through effort or management | examples=She found the time and energy to take care of her aging parents; We found the money to send our sons to college
11. sense_key=find%2:32:01:: | definition=decide on and make a declaration about | synonyms=rule | examples=find someone guilty
12. sense_key=find%2:30:00:: | definition=receive a specified treatment (abstract) | synonyms=receive, get, obtain, incur | examples=These aspects of civilization do not find expression or receive an interpretation; His movie received a good review
13. sense_key=find%2:39:05:: | definition=perceive oneself to be in a certain condition or place | examples=I found myself in a difficult situation; When he woke up, he found himself in a hospital room
14. sense_key=find%2:40:15:: | definition=get or find back; recover the use of | synonyms=recover, retrieve, regain | examples=She regained control of herself; She found her voice and replied quickly
15. sense_key=find%2:38:10:: | definition=succeed in reaching; arrive at | examples=The arrow found its mark
16. sense_key=find%2:30:13:: | definition=accept and make use of one's personality, abilities, and situation | synonyms=find oneself | examples=My son went to Berkeley to find himself

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "find" in the given context, we analyze the sentence:

"It is also the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians **find** useful, since it helps them strike a friendly posture on behalf of an important constituency."

The key phrase is "politicians **find** useful." Here, "find" means that politicians discover or determine that something (the libel) is useful to them. This aligns with the idea of perceiving or recognizing the utility of something, which is best captured by the sense of discovering or determining the existence or usefulness of something.

Reviewing the candidate senses:

1. **come upon, as if by accident** – implies a chance encounter, which doesn't fit the context of deliberate usefulness.
2. **discover or determine the existence, presence, or fact of** – matches the idea of politicians discovering that the libel is useful.
3. **come upon after searching** – suggests a search, which is not implied here.
4. **establish after a calculation, investigation, experiment, survey, or study** – too specific and not about usefulness.
5. **come to believe on the basis of emotion, intuitions, or indefinite grounds** – focuses on belief, not on discovering usefulness.
6. **perceive or be contemporaneous with** – more about witnessing, not about finding usefulness.
7. **get something for a specific purpose** – implies obtaining something, not discovering its usefulness.
8. **make a discovery, make a new finding** – similar to sense 2 but more about new discoveries, not specifically about usefulness.
9. **make a discovery** – overlaps with sense 2 but is broader.
10. **obtain through effort or management** – about acquiring, not about discovering usefulness.
11. **decide on and make a declaration about** – about ruling, not about finding usefulness.
12. **receive a specified treatment** – unrelated to the context.
13. **perceive oneself to be in a certain condition or place** – unrelated.
14. **recover the use of** – about regaining, not about finding usefulness.
15. **succeed in reaching; arrive at** – about arriving, not about finding usefulness.
16. **accept and make use of one's personality, abilities, and situation** – about self-discovery, not about finding something useful.

The context clearly indicates that politicians **discover** that the libel is useful to them. Therefore, the best sense is:

**sense_key=find%2:39:02:: | definition=discover or determine the existence, presence, or fact of | synonyms=detect, observe, discover, notice | examples=She detected high levels of lead in her drinking water; We found traces of lead in the paint**

Thus, the appropriate sense index is 2.

**Answer:**
```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: help
Target surface form: helps
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it <t>helps</t> them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=help%2:41:00:: | definition=give help or assistance; be of service | synonyms=assist, aid | examples=Everyone helped out during the earthquake; Can you help me carry this table?
2. sense_key=help%2:29:00:: | definition=improve the condition of | synonyms=aid | examples=These pills will help the patient
3. sense_key=help%2:42:00:: | definition=be of use | synonyms=facilitate | examples=This will help to prevent accidents
4. sense_key=help%2:42:08:: | definition=abstain from doing; always used with a negative | synonyms=help oneself | examples=I can't help myself--I have to smoke; She could not help watching the sad spectacle
5. sense_key=help%2:34:00:: | definition=help to some food; help with food or drink | synonyms=serve | examples=I served him three times, and after that he helped himself
6. sense_key=help%2:41:12:: | definition=contribute to the furtherance of | examples=This money will help the development of literacy in developing countries
7. sense_key=help%2:34:04:: | definition=take or use | synonyms=avail | examples=She helped herself to some of the office supplies
8. sense_key=help%2:30:13:: | definition=improve; change for the better | examples=New slipcovers will help the old living room furniture

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "helps" in the context:

> "It is also the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is the kind of libel politicians find useful, **since it helps** them strike a friendly posture on behalf of an important constituency."

The phrase "helps them" suggests that the libel assists or benefits politicians in achieving a particular goal—namely, adopting a friendly stance toward teachers. This aligns with the idea of **providing assistance or support** to achieve a desired outcome.

Reviewing the candidate senses:

1. **give help or assistance; be of service** (synonyms: assist, aid) – fits the context of providing support to politicians.
2. **improve the condition of** – less relevant, as the context is about political strategy, not improving a condition.
3. **be of use** – somewhat similar but less specific about the act of aiding a particular group.
4. **abstain from doing** – clearly unrelated.
5. **contribute to the furtherance of** – could apply, but the context is more about immediate assistance rather than long-term development.
6. **help to some food; help with food or drink** – irrelevant.
7. **take or use** – irrelevant.
8. **improve; change for the better** – less specific to the political context.

The most fitting sense is **sense_key=help%2:41:00::**, which defines "help" as "give help or assistance; be of service" with synonyms "assist" and "aid." This matches the context where the libel assists politicians in their strategy.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: strike
Target surface form: strike
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them <t>strike</t> a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=strike%2:35:00:: | definition=deliver a sharp blow, as with the hand, fist, or weapon | examples=The teacher struck the child; the opponent refused to strike
2. sense_key=strike%2:37:00:: | definition=have an emotional or cognitive impact upon | synonyms=affect, impress, move | examples=This child impressed me as unusually mature; This behavior struck me as odd
3. sense_key=strike%2:35:01:: | definition=hit against; come into sudden contact with | synonyms=hit, impinge on, run into, collide with | examples=The car hit a tree; He struck the table with his elbow
4. sense_key=strike%2:33:00:: | definition=make a strategic, offensive, assault against an enemy, opponent, or a target | synonyms=hit | examples=The Germans struck Poland on Sept. 1, 1939; We must strike the enemy's oil fields
5. sense_key=strike%2:32:00:: | definition=indicate (a certain time) by striking | examples=The clock struck midnight; Just when I entered, the clock struck
6. sense_key=strike%2:35:02:: | definition=affect or afflict suddenly, usually adversely | synonyms=hit | examples=We were hit by really bad weather; He was stricken with cancer when he was still a teenager
7. sense_key=strike%2:41:00:: | definition=stop work in order to press demands | synonyms=walk out | examples=The auto workers are striking for higher wages; The employees walked out when their demand for better benefits was not met
8. sense_key=strike%2:42:00:: | definition=touch or seem as if touching visually or audibly | synonyms=fall, shine | examples=Light fell on her face; The sun shone on the fields
9. sense_key=strike%2:41:02:: | definition=attain | synonyms=come to | examples=The horse finally struck a pace
10. sense_key=strike%2:35:03:: | definition=produce by manipulating keys or strings of musical instruments, also metaphorically | synonyms=hit | examples=The pianist strikes a middle C; strike `z' on the keyboard
11. sense_key=strike%2:30:00:: | definition=cause to form (an electric arc) between electrodes of an arc lamp | examples=strike an arc
12. sense_key=strike%2:40:00:: | definition=find unexpectedly | synonyms=fall upon, come upon, light upon, chance upon, come across, chance on | examples=the archeologists chanced upon an old tomb; she struck a goldmine
13. sense_key=strike%2:36:00:: | definition=produce by ignition or a blow | examples=strike fire from the flintstone; strike a match
14. sense_key=strike%2:35:08:: | definition=remove by erasing or crossing out or as if by drawing a line | synonyms=scratch, expunge, excise | examples=Please strike this remark from the record; scratch that remark
15. sense_key=strike%2:39:00:: | definition=cause to experience suddenly | synonyms=hit, come to | examples=Panic struck me; An interesting idea hit her
16. sense_key=strike%2:38:02:: | definition=drive something violently into a location | synonyms=hit | examples=he hit his fist on the table; she struck her head on the low ceiling
17. sense_key=strike%2:38:08:: | definition=occupy or take on | synonyms=assume, take, take up | examples=He assumes the lotus position; She took her seat on the stage
18. sense_key=strike%2:36:02:: | definition=form by stamping, punching, or printing | synonyms=mint, coin | examples=strike coins; strike a medal
19. sense_key=strike%2:35:10:: | definition=smooth with a strickle | synonyms=strickle | examples=strickle the grain in the measure
20. sense_key=strike%2:35:09:: | definition=pierce with force | examples=The bullet struck her thigh; The icy wind struck through our coats
21. sense_key=strike%2:31:00:: | definition=arrive at after reckoning, deliberating, and weighing | examples=strike a balance; strike a bargain

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "strike" in the given context, we analyze the sentence:

*"But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them **strike** a friendly posture on behalf of an important constituency."*

**Contextual Analysis:**
- The phrase "helps them **strike** a friendly posture" suggests an action that politicians take to appear friendly or supportive.
- The word "strike" here is used metaphorically to indicate adopting or assuming a particular stance or behavior.

**Sense Evaluation:**
1. **sense_key=strike%2:35:00::** (deliver a sharp blow) - Incompatible with the metaphorical, non-physical context.
2. **sense_key=strike%2:37:00::** (have an emotional or cognitive impact) - While "strike" can mean to affect, the phrase "strike a friendly posture" implies an action rather than an impact.
3. **sense_key=strike%2:35:01::** (hit against) - Physical contact, not fitting the metaphorical usage.
4. **sense_key=strike%2:33:00::** (make a strategic offensive assault) - Incompatible with the context of politicking.
5. **sense_key=strike%2:32:00::** (indicate time by striking) - Irrelevant to the context.
6. **sense_key=strike%2:35:02::** (affect or afflict suddenly) - Similar to sense 2 but still less precise for the metaphorical "posture."
7. **sense_key=strike%2:41:00::** (stop work to press demands) - Incompatible with the context.
8. **sense_key=strike%2:42:00::** (touch or seem as if touching visually or audibly) - Not fitting.
9. **sense_key=strike%2:41:02::** (attain) - Synonyms like "come to" fit better than "strike" in this metaphorical sense.
10. **sense_key=strike%2:35:03::** (produce by manipulating keys) - Irrelevant.
11. **sense_key=strike%2:30:00::** (cause to form an electric arc) - Irrelevant.
12. **sense_key=strike%2:40:00::** (find unexpectedly) - Not fitting.
13. **sense_key=strike%2:36:00::** (produce by ignition) - Irrelevant.
14. **sense_key=strike%2:35:08::** (remove by erasing) - Not fitting.
15. **sense_key=strike%2:39:00::** (cause to experience suddenly) - Similar to sense 2 but still less precise.
16. **sense_key=strike%2:38:02::** (drive something violently into a location) - Not fitting.
17. **sense_key=strike%2:38:08::** (occupy or take on) - Synonyms like "assume" or "take" align well with "strike a friendly posture," indicating adopting a stance.
18. **sense_key=strike%2:36:02::** (form by stamping) - Irrelevant.
19. **sense_key=strike%2:35:10::** (smooth with a strickle) - Irrelevant.
20. **sense_key=strike%2:35:09::** (pierce with force) - Not fitting.
21. **sense_key=strike%2:31:00::** (arrive at after reckoning) - Synonyms like "strike a balance" fit, but the context is about adopting a posture, not balancing.

**Conclusion:**
The most appropriate sense is **sense_key=strike%2:38:08::**, which means "occupy or take on," aligning with the metaphorical use of "strike a friendly posture."

**Final Answer:**
```json
{"sense_index": 17}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: friendly
Target surface form: friendly
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a <t>friendly</t> posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=friendly%3:00:01:: | definition=characteristic of or befitting a friend | examples=friendly advice; a friendly neighborhood
2. sense_key=friendly%5:00:00:amicable:00 | definition=inclined to help or support; not antagonistic or hostile | synonyms=favorable, well-disposed | examples=a government friendly to our interests; an amicable agreement
3. sense_key=friendly%3:00:03:: | definition=easy to understand or use | examples=user-friendly computers; a consumer-friendly policy
4. sense_key=friendly%3:00:02:: | definition=of or belonging to your own country's forces or those of an ally | examples=in friendly territory; he was accidentally killed by friendly fire

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "friendly" in the given context, let's analyze the sentence:

*"It is also the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a **<t>friendly</t>** posture on behalf of an important constituency."*

**Contextual Analysis:**
- The word "friendly" is used to describe a "posture" taken by politicians.
- The context implies that this posture is **supportive or favorable** towards a specific group (an important constituency).
- The phrase "strike a friendly posture" suggests that the politicians are adopting a **non-hostile, supportive, or helpful** stance.

**Evaluation of Candidate Senses:**
1. **Sense 1:** "Characteristic of or befitting a friend." This sense focuses on qualities that are friendly in a personal, interpersonal sense (e.g., friendly advice, a friendly neighborhood). It does not directly address a political or supportive stance.

2. **Sense 2:** "Inclined to help or support; not antagonistic or hostile." This sense aligns well with the idea of a "friendly posture" that is **supportive and non-hostile** towards a constituency. The synonym "favorable" and the example "a government friendly to our interests" further support this interpretation.

3. **Sense 3:** "Easy to understand or use." This sense relates to usability or comprehensibility (e.g., user-friendly computers), which is unrelated to the political context.

4. **Sense 4:** "Of or belonging to your own country's forces or those of an ally." This sense pertains to military or allied contexts (e.g., friendly territory, friendly fire), which does not fit the political posture described.

**Conclusion:**
The context clearly indicates a **supportive, non-hostile, and favorable** stance, which best matches **Sense 2**.

Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: posture
Target surface form: posture
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly <t>posture</t> on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=posture%1:07:00:: | definition=the arrangement of the body and its limbs | synonyms=position, attitude | examples=he assumed an attitude of surrender
2. sense_key=posture%1:07:01:: | definition=characteristic way of bearing one's body | synonyms=carriage, bearing | examples=stood with good posture
3. sense_key=posture%1:09:00:: | definition=a rationalized mental attitude | synonyms=position, stance
4. sense_key=posture%1:07:02:: | definition=capability in terms of personnel and materiel that affect the capacity to fight a war | synonyms=military capability, military strength, strength, military posture | examples=we faced an army of great strength; politicians have neglected our military posture

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses how politicians adopt a certain stance or attitude to appear supportive of teachers, which aligns with the idea of a "rationalized mental attitude" or "position" they take for political purposes. This matches the sense of "posture" as a characteristic way of holding one's opinions or public stance, rather than a physical arrangement or military capability.

Therefore, the best sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: behalf
Target surface form: behalf
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on <t>behalf</t> of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=behalf%1:04:00:: | definition=as the agent of or on someone's part (usually expressed as  rather than ) | examples=on behalf of; in behalf of
2. sense_key=behalf%1:07:00:: | definition=for someone's benefit (usually expressed as `in behalf' rather than `on behalf' and usually with a possessive) | examples=in your behalf; campaigning in his own behalf

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on <t>behalf</t> of an important constituency." indicates that the word "behalf" is used to express that politicians are acting **on the part of** or **as the agent of** an important constituency. This aligns with the definition "as the agent of or on someone's part (usually expressed as rather than )", which corresponds to the first candidate sense.

Therefore, the best indexed sense is the first one.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: important
Target surface form: important
Context:
If he is competent and conscientious, he serves us well. Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an <t>important</t> constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials.

Candidate senses:
1. sense_key=important%3:00:00:: | definition=of great significance or value | synonyms=of import | examples=important people; the important questions of the day
2. sense_key=important%3:00:04:: | definition=important in effect or meaning | synonyms=significant | examples=a significant change in tax laws; a significant change in the Constitution
3. sense_key=important%3:00:02:: | definition=of extreme importance; vital to the resolution of a crisis | synonyms=crucial | examples=a crucial moment in his career; a crucial election
4. sense_key=important%5:00:00:influential:00 | definition=having authority or ascendancy or influence | synonyms=authoritative | examples=an important official; the captain's authoritative manner
5. sense_key=important%5:00:00:immodest:02 | definition=having or suggesting a consciousness of high position | examples=recited the decree with an important air; took long important strides in the direction of his office

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "important" in the given context, we analyze the sentence:

*"It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an **important** constituency."*

**Contextual Analysis:**
- The phrase "on behalf of an important constituency" suggests that the constituency is significant to the politicians' strategy.
- The word "important" here implies that the constituency holds considerable influence or relevance to the politicians' political maneuvering.

**Sense Evaluation:**
1. **Sense 1 (of great significance or value):** This sense fits well, as it captures the idea of something being significant or valuable in a general sense.
2. **Sense 2 (important in effect or meaning):** This sense is less fitting because the context is about influence rather than the effect or meaning of something.
3. **Sense 3 (of extreme importance; vital to the resolution of a crisis):** This sense is too strong for the context; the constituency is not described as vital to resolving a crisis.
4. **Sense 4 (having authority or ascendancy or influence):** This sense aligns closely with the idea of a constituency being influential to politicians, making it a strong candidate.
5. **Sense 5 (having a consciousness of high position):** This sense is irrelevant to the context, as it pertains to personal demeanor rather than political influence.

**Synonyms and Examples:**
- **Sense 4 synonyms:** authoritative
- **Sense 4 examples:** an important official; the captain's authoritative manner
- The example "an important official" suggests authority and influence, which matches the context of a constituency being influential to politicians.

**Conclusion:**
The best-fitting sense for "important" in this context is **Sense 4**, which emphasizes influence and authority.

**Final Answer:**
```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: shred
Target surface form: shred
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one <t>shred</t> of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=shred%1:23:00:: | definition=a tiny or scarcely detectable amount | synonyms=scintilla, whit, iota, tittle, smidgen, smidgeon
2. sense_key=shred%1:06:00:: | definition=a small piece of cloth or paper | synonyms=rag, tag, tag end, tatter

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context of the sentence discusses the lack of evidence regarding salary differentials affecting educational outcomes, using the phrase "there is not one <t>shred</t> of evidence." This usage clearly aligns with the definition of "shred" meaning "a tiny or scarcely detectable amount," as it emphasizes the absence of any evidence at all. The synonym list supports this interpretation (e.g., "scintilla," "iota," "tittle"), all of which denote minuscule quantities. The alternative sense referring to a small piece of cloth or paper does not fit the context.

Therefore, the best indexed sense is the one describing "a tiny or scarcely detectable amount."

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: evidence
Target surface form: evidence
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of <t>evidence</t> that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=evidence%1:09:00:: | definition=your basis for belief or disbelief; knowledge on which to base belief | synonyms=grounds | examples=the evidence that smoking causes lung cancer is very compelling
2. sense_key=evidence%1:10:01:: | definition=an indication that makes something evident | examples=his trembling was evidence of his fear
3. sense_key=evidence%1:10:00:: | definition=(law) all the means by which any alleged matter of fact whose truth is investigated at judicial trial is established or disproved

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "But there is not one shred of <t>evidence</t> that, other things being equal, salary differentials result in educational differentials." is discussing the lack of proof or data supporting a particular claim about salary differentials and educational outcomes. The context is about a factual claim in an educational policy discussion, not about an indication of a state (like fear) or a legal proceeding. Therefore, the most appropriate sense is the one referring to proof or data that establishes the truth of a matter, which aligns with the legal definition of evidence as used in judicial trials.

Thus, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: other
Target surface form: other
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, <t>other</t> things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works
2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening
3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "other" in the given context, let's analyze the sentence:

> "But there is not one shred of evidence that, **other** things being equal, salary differentials result in educational differentials."

The phrase "other things being equal" is a common idiom meaning "assuming all other factors are the same." This usage aligns with the sense of "other" that refers to something distinct or additional, not already mentioned, but in a neutral, comparative context.

Now, let's evaluate the candidate senses:

1. **sense_key=other%3:00:00::**
   - Definition: not the same one or ones already mentioned or implied.
   - Examples: "today isn't any other day"; "the construction of highways and other public works."
   - This sense matches the idiomatic use of "other things being equal," as it refers to other factors being held constant.

2. **sense_key=other%5:00:00:past:00**
   - Definition: recently past.
   - Examples: "the other evening."
   - This sense is about time and does not fit the context of the sentence.

3. **sense_key=other%5:00:02:past:00**
   - Definition: belonging to the distant past.
   - Synonyms: early, former.
   - Examples: "the early inhabitants of Europe"; "former generations."
   - This sense is also about time and is unrelated to the idiomatic expression in question.

4. **sense_key=other%5:00:00:strange:00**
   - Definition: very unusual; different in character or quality from the normal or expected.
   - Examples: "a strange, other dimension...where his powers seemed to fail."
   - This sense pertains to strangeness or unusualness, which does not apply to the context of "other things being equal."

Given the analysis, the best-fitting sense is the one that captures the idiomatic meaning of "other" as referring to additional factors being held constant. This corresponds to **sense_key=other%3:00:00::**.

Therefore, the correct sense index is 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: thing
Target surface form: things
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other <t>things</t> being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=thing%1:26:00:: | definition=a special situation | examples=this thing has got to end; it is a remarkable thing
2. sense_key=thing%1:04:00:: | definition=an action | examples=how could you do such a thing?
3. sense_key=thing%1:09:00:: | definition=a special abstraction | examples=a thing of the spirit; things of the heart
4. sense_key=thing%1:06:00:: | definition=an artifact | examples=how does this thing work?
5. sense_key=thing%1:11:00:: | definition=an event | examples=a funny thing happened on the way to the...
6. sense_key=thing%1:09:02:: | definition=a vaguely specified concern | synonyms=matter, affair | examples=several matters to attend to; it is none of your affair
7. sense_key=thing%1:10:00:: | definition=a statement regarded as an object | examples=to say the same thing in other terms; how can you say such a thing?
8. sense_key=thing%1:06:01:: | definition=an entity that is not named specifically | examples=I couldn't tell what the thing was
9. sense_key=thing%1:07:00:: | definition=any attribute or quality considered as having its own existence | examples=the thing I like about her is ...
10. sense_key=thing%1:09:01:: | definition=a special objective | examples=the thing is to stay in bounds
11. sense_key=thing%1:12:00:: | definition=a persistent illogical feeling of desire or aversion | examples=he has a thing about seafood; she has a thing about him
12. sense_key=thing%1:03:00:: | definition=a separate and self-contained entity

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "things" in the given context, we analyze the sentence:

> "But there is not one shred of evidence that, other **things** being equal, salary differentials result in educational differentials."

The phrase "other things being equal" is a common idiom meaning "assuming all other factors are the same." This suggests that "things" here refers to unspecified factors or conditions that are held constant while examining the relationship between salary differentials and educational outcomes.

Let's evaluate the candidate senses:

1. **sense_key=thing%1:26:00::** (a special situation) - This does not fit the idiomatic use.
2. **sense_key=thing%1:04:00::** (an action) - "Things" is not an action.
3. **sense_key=thing%1:09:00::** (a special abstraction) - Too vague and not specific to the idiomatic context.
4. **sense_key=thing%1:06:00::** (an artifact) - Unrelated to the abstract, unspecified factors.
5. **sense_key=thing%1:11:00::** (an event) - Does not match the idiomatic usage.
6. **sense_key=thing%1:09:02::** (a vaguely specified concern) - Synonyms include "matter" and "affair," which aligns with the idea of unspecified factors or conditions.
7. **sense_key=thing%1:10:00::** (a statement regarded as an object) - Not applicable here.
8. **sense_key=thing%1:06:01::** (an entity that is not named specifically) - Close, but the idiomatic phrase "other things being equal" is more precisely captured by the sense of "a vaguely specified concern."
9. **sense_key=thing%1:07:00::** (any attribute or quality) - Not fitting the idiomatic context.
10. **sense_key=thing%1:09:01::** (a special objective) - Irrelevant.
11. **sense_key=thing%1:12:00::** (a persistent illogical feeling) - Unrelated.
12. **sense_key=thing%1:03:00::** (a separate and self-contained entity) - Too broad and not specific to the idiomatic usage.

The phrase "other things being equal" aligns best with **sense_key=thing%1:09:02::**, which defines "thing" as a "vaguely specified concern" with synonyms "matter" and "affair." This sense captures the idea of unspecified factors or conditions being held constant in the discussion.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: equal
Target surface form: equal
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being <t>equal</t>, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=equal%3:00:00:: | definition=having the same quantity, value, or measure as another | examples=on equal terms; all men are equal before the law
2. sense_key=equal%3:00:03:: | definition=having the requisite qualities or resources to meet a task | synonyms=adequate | examples=she had adequate training; her training was adequate

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context uses "equal" to mean that other factors are held constant, implying a comparison where conditions are the same. This aligns with the definition "having the same quantity, value, or measure as another," which is used to discuss salary differentials resulting in educational differentials when all else is the same. The second sense about having requisite qualities is not applicable here. Therefore, the best sense is the first one.

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: differential
Target surface form: differentials
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary <t>differentials</t> result in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=differential%1:09:00:: | definition=the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx | synonyms=derived function, derivative, differential coefficient, first derivative
2. sense_key=differential%1:07:00:: | definition=a quality that differentiates between similar things
3. sense_key=differential%1:06:00:: | definition=a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves | synonyms=differential gear

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses salary differentials and their impact on educational outcomes, specifically stating that there is no evidence that salary differentials result in educational differentials. This clearly refers to the variation in salaries or pay between groups, which aligns with the definition of a "quality that differentiates between similar things." Therefore, the best sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: result
Target surface form: result
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials <t>result</t> in educational differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=result%2:42:00:: | definition=issue or terminate (in a specified way, state, etc.); end | synonyms=ensue | examples=result in tragedy
2. sense_key=result%2:42:02:: | definition=have as a result or residue | synonyms=leave, lead | examples=The water left a mark on the silk dress; Her blood left a stain on the napkin
3. sense_key=result%2:30:00:: | definition=come about or follow as a consequence | examples=nothing will result from this meeting

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "there is not one shred of evidence that, other things being equal, salary differentials <t>result</t> in educational differentials" uses "result" to indicate a consequence or outcome of salary differentials on educational outcomes. This aligns with the definition "come about or follow as a consequence," which matches sense_key=result%2:30:00::. Therefore, the best indexed sense is:

{"sense_index": 3}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: educational
Target surface form: educational
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in <t>educational</t> differentials. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=educational%3:01:00:: | definition=relating to the process of education | examples=educational psychology
2. sense_key=educational%5:00:00:instructive:00 | definition=providing knowledge | examples=an educational film

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The target word "educational" in the context refers to the aspect of the process of education, specifically discussing whether salary differences lead to educational differences. This aligns with the definition "relating to the process of education" and the example "educational psychology." Therefore, the best indexed sense is the first one.

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: differential
Target surface form: differentials
Context:
Our teachers are not an important factor in our educational crisis. Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational <t>differentials</t>. If there were such evidence, you can be sure you would have heard of it.

Candidate senses:
1. sense_key=differential%1:09:00:: | definition=the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx | synonyms=derived function, derivative, differential coefficient, first derivative
2. sense_key=differential%1:07:00:: | definition=a quality that differentiates between similar things
3. sense_key=differential%1:06:00:: | definition=a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves | synonyms=differential gear

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "salary differentials" and their impact on "educational differentials," suggesting a comparison between varying levels of salaries and the resulting differences in educational outcomes. This usage aligns with the idea of a **quality that differentiates between similar things**, as it refers to the differences in salaries and the consequent differences in education quality. The other senses (mathematical derivative or mechanical differential gear) do not fit the context.

Therefore, the best sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: evidence
Target surface form: evidence
Context:
Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such <t>evidence</t>, you can be sure you would have heard of it. If we wish to be serious about American education, we know exactly what to do -- and, just as important, what not to do.

Candidate senses:
1. sense_key=evidence%1:09:00:: | definition=your basis for belief or disbelief; knowledge on which to base belief | synonyms=grounds | examples=the evidence that smoking causes lung cancer is very compelling
2. sense_key=evidence%1:10:01:: | definition=an indication that makes something evident | examples=his trembling was evidence of his fear
3. sense_key=evidence%1:10:00:: | definition=(law) all the means by which any alleged matter of fact whose truth is investigated at judicial trial is established or disproved

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses the lack of "evidence" that salary differences affect educational outcomes. The context implies a need for empirical proof or data supporting a claim, which aligns with the legal or investigative use of evidence—i.e., something that establishes or disproves a matter of fact in a judicial or investigative setting. Therefore, the best sense is the one referring to evidence as a means of establishing or disproving a matter of fact in a legal or investigative context.

The appropriate sense is:

sense_key=evidence%1:10:00::

Thus, the correct indexed sense is:

{"sense_index": 3}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: sure
Target surface form: sure
Context:
Whether they are or are not underpaid is a problem of equity; it is not an educational problem. It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be <t>sure</t> you would have heard of it. If we wish to be serious about American education, we know exactly what to do -- and, just as important, what not to do.

Candidate senses:
1. sense_key=sure%3:00:00:: | definition=having or feeling no doubt or uncertainty; confident and assured | synonyms=certain | examples=felt certain of success; was sure (or certain) she had seen it
2. sense_key=sure%5:00:00:careful:00 | definition=exercising or taking care great enough to bring assurance | synonyms=certain | examples=be certain to disconnect the iron when you are through; be sure to lock the doors
3. sense_key=sure%3:00:04:: | definition=certain to occur; destined or inevitable; ; ; - Benjamin Franklin | synonyms=certain | examples=he was certain to fail; his fate is certain
4. sense_key=sure%5:00:00:secure:02 | definition=physically secure or dependable | examples=a sure footing; was on sure ground
5. sense_key=sure%5:00:00:reliable:00 | definition=reliable in operation or effect | synonyms=certain | examples=a quick and certain remedy; a sure way to distinguish the two
6. sense_key=sure%5:00:00:trustworthy:00 | definition=(of persons) worthy of trust or confidence | synonyms=trusted | examples=a sure (or trusted) friend
7. sense_key=sure%5:00:00:true:00 | definition=infallible or unfailing | examples=a sure (or true) sign of one's commitment
8. sense_key=sure%5:00:00:steady:00 | definition=certain not to fail | examples=a sure hand on the throttle
9. sense_key=sure%5:00:02:certain:01 | definition=impossible to doubt or dispute | synonyms=indisputable | examples=indisputable (or sure) proof

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "If there were such evidence, you can be <t>sure</t> you would have heard of it." uses "sure" to express a high degree of confidence that something would have been known if it existed. This aligns with the sense of being certain that something will happen or be true, given the conditions stated. The context implies a logical certainty rather than a physical or moral assurance.

Therefore, the best sense is:

**sense_key=sure%3:00:04::**
**definition=certain to occur; destined or inevitable**
**synonyms=certain**
**examples=he was certain to fail; his fate is certain**

Thus, the appropriate sense index is 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: wish
Target surface form: wish
Context:
It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it. If we <t>wish</t> to be serious about American education, we know exactly what to do -- and, just as important, what not to do. There are many successful schools scattered throughout this nation, some of them in the poorest of ghettos, and they are all sending us the same message.

Candidate senses:
1. sense_key=wish%2:37:00:: | definition=hope for; have a wish | examples=I wish I could go home now
2. sense_key=wish%2:37:02:: | definition=prefer or wish to do something | synonyms=care, like | examples=Do you care to try this dish?; Would you like to come along to the movies?
3. sense_key=wish%2:32:02:: | definition=make or express a wish | examples=I wish that Christmas were over
4. sense_key=wish%2:37:01:: | definition=feel or express a desire or hope concerning the future or fortune of | synonyms=wish well
5. sense_key=wish%2:32:01:: | definition=order politely; express a wish for
6. sense_key=wish%2:32:00:: | definition=invoke upon | synonyms=bid | examples=wish you a nice evening; bid farewell

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "wish" in the given context, let's analyze the sentence:

> "If we **wish** to be serious about American education, we know exactly what to do -- and, just as important, what not to do."

The phrase "If we **wish** to be serious about American education" suggests a desire or hope to approach the topic of American education with seriousness. The word "wish" here is used to express a desire or hope for a particular state of affairs (being serious about education).

Now, let's examine the candidate senses:

1. **hope for; have a wish** - This sense aligns with expressing a desire or hope, which matches the context where "wish" is used to indicate a desire to be serious about education.
2. **prefer or wish to do something** - This sense involves preferring or wanting to do something, which is less fitting because the context is about the desire to be serious, not about preferring an action.
3. **make or express a wish** - This sense involves the act of wishing itself, which is not the primary focus here; the context is about the desire to be serious, not about the act of wishing.
4. **feel or express a desire or hope concerning the future or fortune of** - This sense is close, but it emphasizes future or fortune, which is not the main point of the sentence.
5. **order politely; express a wish for** - This sense is about politely ordering or expressing a wish, which does not fit the context.
6. **invoke upon; bid** - This sense involves bidding or invoking, which is unrelated to the context.

The most appropriate sense is **hope for; have a wish**, which corresponds to sense_key `wish:37:00::`. This sense captures the idea of expressing a desire or hope to be serious about American education.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: serious
Target surface form: serious
Context:
It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it. If we wish to be <t>serious</t> about American education, we know exactly what to do -- and, just as important, what not to do. There are many successful schools scattered throughout this nation, some of them in the poorest of ghettos, and they are all sending us the same message.

Candidate senses:
1. sense_key=serious%3:00:00:: | definition=concerned with work or important matters rather than play or trivialities | examples=a serious student of history; a serious attempt to learn to ski
2. sense_key=serious%5:00:00:important:00 | definition=of great consequence | examples=marriage is a serious matter
3. sense_key=serious%5:00:00:critical:03 | definition=causing fear or anxiety by threatening great harm | synonyms=dangerous, grave, grievous, severe, life-threatening | examples=a dangerous operation; a grave situation
4. sense_key=serious%5:00:00:intellectual:00 | definition=appealing to the mind | synonyms=good | examples=good music; a serious book
5. sense_key=serious%3:00:02:: | definition=completely lacking in playfulness | synonyms=unplayful, sober
6. sense_key=serious%5:00:00:difficult:00 | definition=requiring effort or concentration; complex and not easy to answer or solve | examples=raised serious objections to the proposal; the plan has a serious flaw

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "serious" in the given context, we analyze the surrounding text:

> "If we wish to be **serious** about American education, we know exactly what to do -- and, just as important, what not to do."

The phrase "be serious about" suggests a focus on the importance and gravity of the issue, rather than merely being concerned with work or lacking playfulness. The context emphasizes a commitment to addressing American education with seriousness, implying a sense of consequence and importance.

Let's evaluate the candidate senses:

1. **concerned with work or important matters rather than play or trivialities** – This sense fits the idea of focusing on important matters, but it doesn't capture the added weight of "consequence" implied by the context.
2. **of great consequence** – This sense directly aligns with the idea of treating the issue with importance and gravity, matching the phrase "be serious about."
3. **causing fear or anxiety by threatening great harm** – This sense is too extreme for the context, which is about educational policy, not danger.
4. **appealing to the mind** – This sense is unrelated to the context of seriousness in addressing education.
5. **completely lacking in playfulness** – This sense is more about demeanor than the seriousness of the issue.
6. **requiring effort or concentration; complex and not easy to answer or solve** – While this sense relates to difficulty, it doesn't capture the primary implication of importance and consequence.

The best match is **sense_key=serious%5:00:00:important:00**, which defines "serious" as "of great consequence." This sense captures the intended meaning of treating American education with significant importance.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: american
Target surface form: American
Context:
It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it. If we wish to be serious about <t>American</t> education, we know exactly what to do -- and, just as important, what not to do. There are many successful schools scattered throughout this nation, some of them in the poorest of ghettos, and they are all sending us the same message.

Candidate senses:
1. sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English
2. sense_key=american%3:01:00:: | definition=of or relating to or characteristic of the continents and islands of the Americas | examples=the American hemisphere; American flora and fauna

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American education," discussing issues related to the United States' educational system and its teachers. The term "American" here is clearly referring to something pertaining to the United States of America, its people, language, or culture, rather than the broader geographic region of the Americas. Therefore, the most appropriate sense is:

1. of or relating to the United States of America or its people or language or culture.

Thus, the best indexed sense is the first one.

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: education
Target surface form: education
Context:
It is silly libel on our teachers to think they would educate our children better if only they got a few thousand dollars a year more. It is the kind of libel the teachers' unions do not mind spreading, for their own narrow purposes. It is also the kind of libel politicians find useful, since it helps them strike a friendly posture on behalf of an important constituency. But there is not one shred of evidence that, other things being equal, salary differentials result in educational differentials. If there were such evidence, you can be sure you would have heard of it. If we wish to be serious about American <t>education</t>, we know exactly what to do -- and, just as important, what not to do. There are many successful schools scattered throughout this nation, some of them in the poorest of ghettos, and they are all sending us the same message.

Candidate senses:
1. sense_key=education%1:04:00:: | definition=the activities of educating or instructing; activities that impart knowledge or skill | synonyms=instruction, teaching, pedagogy, didactics, educational activity | examples=he received no formal education; our instruction was carefully programmed
2. sense_key=education%1:09:00:: | definition=knowledge acquired by learning and instruction | examples=it was clear that he had a very broad education
3. sense_key=education%1:09:01:: | definition=the gradual process of acquiring knowledge | examples=education is a preparation for life; a girl's education was less important than a boy's
4. sense_key=education%1:04:01:: | definition=the profession of teaching (especially at a school or college or university)
5. sense_key=education%1:07:01:: | definition=the result of good upbringing (especially knowledge of correct social behavior) | synonyms=training, breeding | examples=a woman of breeding and refinement
6. sense_key=education%1:14:00:: | definition=the United States federal department that administers all federal programs dealing with education (including federal aid to educational institutions and students); created 1979 | synonyms=Department of Education, Education Department

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses improving American education, mentioning schools, educational outcomes, and the need for serious action regarding education. The focus is on the system and process of educating children, not on the profession of teaching, the Department of Education, or the result of upbringing. The most fitting sense is the one referring to the activities of educating or instructing and the knowledge acquired through such activities.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```